Properties

Label 189.2.bd.a.47.11
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.11
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0147002 - 0.00259205i) q^{2} +(-1.71867 + 0.214901i) q^{3} +(-1.87918 - 0.683964i) q^{4} +(1.54651 + 0.562885i) q^{5} +(0.0258218 + 0.00129578i) q^{6} +(2.21011 + 1.45445i) q^{7} +(0.0517058 + 0.0298524i) q^{8} +(2.90764 - 0.738686i) q^{9} +O(q^{10})\) \(q+(-0.0147002 - 0.00259205i) q^{2} +(-1.71867 + 0.214901i) q^{3} +(-1.87918 - 0.683964i) q^{4} +(1.54651 + 0.562885i) q^{5} +(0.0258218 + 0.00129578i) q^{6} +(2.21011 + 1.45445i) q^{7} +(0.0517058 + 0.0298524i) q^{8} +(2.90764 - 0.738686i) q^{9} +(-0.0212751 - 0.0122832i) q^{10} +(1.57083 + 4.31582i) q^{11} +(3.37666 + 0.771671i) q^{12} +(-1.52751 + 4.19679i) q^{13} +(-0.0287191 - 0.0271094i) q^{14} +(-2.77891 - 0.635065i) q^{15} +(3.06315 + 2.57029i) q^{16} +(1.88705 - 3.26847i) q^{17} +(-0.0446576 + 0.00332212i) q^{18} +(-1.27160 + 0.734160i) q^{19} +(-2.52118 - 2.11552i) q^{20} +(-4.11100 - 2.02476i) q^{21} +(-0.0119048 - 0.0675152i) q^{22} +(7.31736 - 1.29025i) q^{23} +(-0.0952804 - 0.0401947i) q^{24} +(-1.75536 - 1.47292i) q^{25} +(0.0333330 - 0.0577345i) q^{26} +(-4.83851 + 1.89441i) q^{27} +(-3.15839 - 4.24480i) q^{28} +(-2.83246 - 7.78213i) q^{29} +(0.0392044 + 0.0165387i) q^{30} +(-2.87381 + 7.89573i) q^{31} +(-0.115122 - 0.137197i) q^{32} +(-3.62721 - 7.07988i) q^{33} +(-0.0362121 + 0.0431559i) q^{34} +(2.59927 + 3.49336i) q^{35} +(-5.96919 - 0.600598i) q^{36} -0.794639 q^{37} +(0.0205958 - 0.00749627i) q^{38} +(1.72338 - 7.54116i) q^{39} +(0.0631602 + 0.0752714i) q^{40} +(3.97658 + 1.44736i) q^{41} +(0.0551844 + 0.0404204i) q^{42} +(-0.303215 + 1.71962i) q^{43} -9.18457i q^{44} +(4.91249 + 0.494277i) q^{45} -0.110911 q^{46} +(-1.54917 + 0.563852i) q^{47} +(-5.81690 - 3.75920i) q^{48} +(2.76916 + 6.42898i) q^{49} +(0.0219863 + 0.0262023i) q^{50} +(-2.54082 + 6.02294i) q^{51} +(5.74091 - 6.84175i) q^{52} +(3.66888 - 2.11823i) q^{53} +(0.0760377 - 0.0153066i) q^{54} +7.55866i q^{55} +(0.0708567 + 0.141180i) q^{56} +(2.02769 - 1.53505i) q^{57} +(0.0214662 + 0.121741i) q^{58} +(-8.85828 + 7.43298i) q^{59} +(4.78769 + 3.09407i) q^{60} +(1.02900 + 2.82714i) q^{61} +(0.0627118 - 0.108620i) q^{62} +(7.50057 + 2.59643i) q^{63} +(-3.99733 - 6.92357i) q^{64} +(-4.72462 + 5.63058i) q^{65} +(0.0349694 + 0.113478i) q^{66} +(-1.88292 - 10.6785i) q^{67} +(-5.78162 + 4.85135i) q^{68} +(-12.2988 + 3.79001i) q^{69} +(-0.0291550 - 0.0580906i) q^{70} +(6.66808 - 3.84982i) q^{71} +(0.172393 + 0.0486054i) q^{72} -15.8281i q^{73} +(0.0116814 + 0.00205974i) q^{74} +(3.33341 + 2.15423i) q^{75} +(2.89171 - 0.509886i) q^{76} +(-2.80543 + 11.8231i) q^{77} +(-0.0448812 + 0.106390i) q^{78} +(0.276799 - 1.56981i) q^{79} +(3.29043 + 5.69919i) q^{80} +(7.90869 - 4.29566i) q^{81} +(-0.0547050 - 0.0315840i) q^{82} +(4.61667 - 1.68033i) q^{83} +(6.34044 + 6.61666i) q^{84} +(4.75812 - 3.99254i) q^{85} +(0.00891467 - 0.0244929i) q^{86} +(6.54045 + 12.7662i) q^{87} +(-0.0476164 + 0.270046i) q^{88} +(-3.59252 - 6.22243i) q^{89} +(-0.0709336 - 0.0199994i) q^{90} +(-9.47998 + 7.05369i) q^{91} +(-14.6331 - 2.58021i) q^{92} +(3.24233 - 14.1877i) q^{93} +(0.0242347 - 0.00427323i) q^{94} +(-2.37980 + 0.419623i) q^{95} +(0.227340 + 0.211056i) q^{96} +(-1.56544 - 0.276029i) q^{97} +(-0.0240431 - 0.101685i) q^{98} +(7.75543 + 11.3885i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0147002 0.00259205i −0.0103946 0.00183285i 0.168448 0.985710i \(-0.446124\pi\)
−0.178843 + 0.983878i \(0.557235\pi\)
\(3\) −1.71867 + 0.214901i −0.992273 + 0.124073i
\(4\) −1.87918 0.683964i −0.939588 0.341982i
\(5\) 1.54651 + 0.562885i 0.691622 + 0.251730i 0.663829 0.747884i \(-0.268930\pi\)
0.0277922 + 0.999614i \(0.491152\pi\)
\(6\) 0.0258218 + 0.00129578i 0.0105417 + 0.000528999i
\(7\) 2.21011 + 1.45445i 0.835342 + 0.549730i
\(8\) 0.0517058 + 0.0298524i 0.0182808 + 0.0105544i
\(9\) 2.90764 0.738686i 0.969212 0.246229i
\(10\) −0.0212751 0.0122832i −0.00672777 0.00388428i
\(11\) 1.57083 + 4.31582i 0.473623 + 1.30127i 0.914821 + 0.403859i \(0.132331\pi\)
−0.441199 + 0.897409i \(0.645447\pi\)
\(12\) 3.37666 + 0.771671i 0.974759 + 0.222762i
\(13\) −1.52751 + 4.19679i −0.423654 + 1.16398i 0.525946 + 0.850518i \(0.323711\pi\)
−0.949600 + 0.313463i \(0.898511\pi\)
\(14\) −0.0287191 0.0271094i −0.00767551 0.00724530i
\(15\) −2.77891 0.635065i −0.717510 0.163973i
\(16\) 3.06315 + 2.57029i 0.765788 + 0.642573i
\(17\) 1.88705 3.26847i 0.457677 0.792720i −0.541160 0.840919i \(-0.682015\pi\)
0.998838 + 0.0481990i \(0.0153482\pi\)
\(18\) −0.0446576 + 0.00332212i −0.0105259 + 0.000783031i
\(19\) −1.27160 + 0.734160i −0.291726 + 0.168428i −0.638720 0.769439i \(-0.720536\pi\)
0.346994 + 0.937867i \(0.387202\pi\)
\(20\) −2.52118 2.11552i −0.563752 0.473044i
\(21\) −4.11100 2.02476i −0.897094 0.441839i
\(22\) −0.0119048 0.0675152i −0.00253810 0.0143943i
\(23\) 7.31736 1.29025i 1.52578 0.269035i 0.653076 0.757293i \(-0.273478\pi\)
0.872700 + 0.488257i \(0.162367\pi\)
\(24\) −0.0952804 0.0401947i −0.0194490 0.00820470i
\(25\) −1.75536 1.47292i −0.351072 0.294584i
\(26\) 0.0333330 0.0577345i 0.00653714 0.0113227i
\(27\) −4.83851 + 1.89441i −0.931172 + 0.364579i
\(28\) −3.15839 4.24480i −0.596880 0.802192i
\(29\) −2.83246 7.78213i −0.525975 1.44511i −0.863771 0.503885i \(-0.831903\pi\)
0.337795 0.941220i \(-0.390319\pi\)
\(30\) 0.0392044 + 0.0165387i 0.00715772 + 0.00301953i
\(31\) −2.87381 + 7.89573i −0.516152 + 1.41812i 0.358576 + 0.933501i \(0.383262\pi\)
−0.874728 + 0.484615i \(0.838960\pi\)
\(32\) −0.115122 0.137197i −0.0203508 0.0242532i
\(33\) −3.62721 7.07988i −0.631415 1.23245i
\(34\) −0.0362121 + 0.0431559i −0.00621033 + 0.00740118i
\(35\) 2.59927 + 3.49336i 0.439358 + 0.590485i
\(36\) −5.96919 0.600598i −0.994865 0.100100i
\(37\) −0.794639 −0.130638 −0.0653190 0.997864i \(-0.520806\pi\)
−0.0653190 + 0.997864i \(0.520806\pi\)
\(38\) 0.0205958 0.00749627i 0.00334109 0.00121606i
\(39\) 1.72338 7.54116i 0.275962 1.20755i
\(40\) 0.0631602 + 0.0752714i 0.00998651 + 0.0119015i
\(41\) 3.97658 + 1.44736i 0.621037 + 0.226039i 0.633326 0.773885i \(-0.281689\pi\)
−0.0122884 + 0.999924i \(0.503912\pi\)
\(42\) 0.0551844 + 0.0404204i 0.00851514 + 0.00623700i
\(43\) −0.303215 + 1.71962i −0.0462399 + 0.262239i −0.999160 0.0409825i \(-0.986951\pi\)
0.952920 + 0.303222i \(0.0980623\pi\)
\(44\) 9.18457i 1.38463i
\(45\) 4.91249 + 0.494277i 0.732311 + 0.0736824i
\(46\) −0.110911 −0.0163530
\(47\) −1.54917 + 0.563852i −0.225970 + 0.0822463i −0.452524 0.891752i \(-0.649476\pi\)
0.226554 + 0.973999i \(0.427254\pi\)
\(48\) −5.81690 3.75920i −0.839597 0.542594i
\(49\) 2.76916 + 6.42898i 0.395594 + 0.918425i
\(50\) 0.0219863 + 0.0262023i 0.00310933 + 0.00370556i
\(51\) −2.54082 + 6.02294i −0.355786 + 0.843380i
\(52\) 5.74091 6.84175i 0.796121 0.948780i
\(53\) 3.66888 2.11823i 0.503959 0.290961i −0.226388 0.974037i \(-0.572692\pi\)
0.730347 + 0.683076i \(0.239358\pi\)
\(54\) 0.0760377 0.0153066i 0.0103474 0.00208296i
\(55\) 7.55866i 1.01921i
\(56\) 0.0708567 + 0.141180i 0.00946863 + 0.0188660i
\(57\) 2.02769 1.53505i 0.268574 0.203322i
\(58\) 0.0214662 + 0.121741i 0.00281865 + 0.0159854i
\(59\) −8.85828 + 7.43298i −1.15325 + 0.967691i −0.999791 0.0204636i \(-0.993486\pi\)
−0.153459 + 0.988155i \(0.549041\pi\)
\(60\) 4.78769 + 3.09407i 0.618088 + 0.399443i
\(61\) 1.02900 + 2.82714i 0.131749 + 0.361978i 0.987973 0.154627i \(-0.0494176\pi\)
−0.856224 + 0.516605i \(0.827195\pi\)
\(62\) 0.0627118 0.108620i 0.00796441 0.0137948i
\(63\) 7.50057 + 2.59643i 0.944983 + 0.327120i
\(64\) −3.99733 6.92357i −0.499666 0.865447i
\(65\) −4.72462 + 5.63058i −0.586017 + 0.698388i
\(66\) 0.0349694 + 0.113478i 0.00430443 + 0.0139682i
\(67\) −1.88292 10.6785i −0.230035 1.30459i −0.852823 0.522201i \(-0.825111\pi\)
0.622788 0.782391i \(-0.286000\pi\)
\(68\) −5.78162 + 4.85135i −0.701124 + 0.588313i
\(69\) −12.2988 + 3.79001i −1.48061 + 0.456264i
\(70\) −0.0291550 0.0580906i −0.00348469 0.00694316i
\(71\) 6.66808 3.84982i 0.791355 0.456889i −0.0490844 0.998795i \(-0.515630\pi\)
0.840439 + 0.541906i \(0.182297\pi\)
\(72\) 0.172393 + 0.0486054i 0.0203167 + 0.00572821i
\(73\) 15.8281i 1.85254i −0.376858 0.926271i \(-0.622995\pi\)
0.376858 0.926271i \(-0.377005\pi\)
\(74\) 0.0116814 + 0.00205974i 0.00135793 + 0.000239440i
\(75\) 3.33341 + 2.15423i 0.384909 + 0.248750i
\(76\) 2.89171 0.509886i 0.331701 0.0584879i
\(77\) −2.80543 + 11.8231i −0.319709 + 1.34737i
\(78\) −0.0448812 + 0.106390i −0.00508179 + 0.0120463i
\(79\) 0.276799 1.56981i 0.0311423 0.176617i −0.965269 0.261257i \(-0.915863\pi\)
0.996412 + 0.0846402i \(0.0269741\pi\)
\(80\) 3.29043 + 5.69919i 0.367881 + 0.637189i
\(81\) 7.90869 4.29566i 0.878743 0.477295i
\(82\) −0.0547050 0.0315840i −0.00604116 0.00348787i
\(83\) 4.61667 1.68033i 0.506745 0.184440i −0.0759804 0.997109i \(-0.524209\pi\)
0.582725 + 0.812669i \(0.301986\pi\)
\(84\) 6.34044 + 6.61666i 0.691798 + 0.721937i
\(85\) 4.75812 3.99254i 0.516091 0.433051i
\(86\) 0.00891467 0.0244929i 0.000961293 0.00264113i
\(87\) 6.54045 + 12.7662i 0.701210 + 1.36868i
\(88\) −0.0476164 + 0.270046i −0.00507592 + 0.0287870i
\(89\) −3.59252 6.22243i −0.380807 0.659577i 0.610371 0.792116i \(-0.291020\pi\)
−0.991178 + 0.132539i \(0.957687\pi\)
\(90\) −0.0709336 0.0199994i −0.00747705 0.00210812i
\(91\) −9.47998 + 7.05369i −0.993772 + 0.739427i
\(92\) −14.6331 2.58021i −1.52561 0.269005i
\(93\) 3.24233 14.1877i 0.336214 1.47120i
\(94\) 0.0242347 0.00427323i 0.00249962 0.000440750i
\(95\) −2.37980 + 0.419623i −0.244162 + 0.0430524i
\(96\) 0.227340 + 0.211056i 0.0232027 + 0.0215408i
\(97\) −1.56544 0.276029i −0.158946 0.0280265i 0.0936086 0.995609i \(-0.470160\pi\)
−0.252555 + 0.967583i \(0.581271\pi\)
\(98\) −0.0240431 0.101685i −0.00242872 0.0102718i
\(99\) 7.75543 + 11.3885i 0.779450 + 1.14458i
\(100\) 2.29120 + 3.96848i 0.229120 + 0.396848i
\(101\) 0.401328 2.27604i 0.0399336 0.226475i −0.958309 0.285734i \(-0.907763\pi\)
0.998243 + 0.0592590i \(0.0188738\pi\)
\(102\) 0.0529624 0.0819527i 0.00524406 0.00811453i
\(103\) 0.187058 0.513937i 0.0184313 0.0506397i −0.930136 0.367216i \(-0.880311\pi\)
0.948567 + 0.316576i \(0.102533\pi\)
\(104\) −0.204265 + 0.171399i −0.0200299 + 0.0168070i
\(105\) −5.21801 5.44534i −0.509226 0.531410i
\(106\) −0.0594239 + 0.0216285i −0.00577176 + 0.00210075i
\(107\) 2.89299 + 1.67027i 0.279676 + 0.161471i 0.633277 0.773925i \(-0.281709\pi\)
−0.353601 + 0.935397i \(0.615043\pi\)
\(108\) 10.3881 0.250555i 0.999598 0.0241097i
\(109\) 1.92585 + 3.33567i 0.184463 + 0.319499i 0.943395 0.331670i \(-0.107612\pi\)
−0.758932 + 0.651169i \(0.774279\pi\)
\(110\) 0.0195924 0.111114i 0.00186806 0.0105943i
\(111\) 1.36572 0.170769i 0.129628 0.0162086i
\(112\) 3.03155 + 10.1358i 0.286454 + 0.957745i
\(113\) 4.52691 0.798216i 0.425856 0.0750899i 0.0433872 0.999058i \(-0.486185\pi\)
0.382469 + 0.923968i \(0.375074\pi\)
\(114\) −0.0337864 + 0.0173097i −0.00316439 + 0.00162120i
\(115\) 12.0427 + 2.12344i 1.12298 + 0.198012i
\(116\) 16.5613i 1.53768i
\(117\) −1.34133 + 13.3311i −0.124006 + 1.23246i
\(118\) 0.149485 0.0863054i 0.0137612 0.00794506i
\(119\) 8.92441 4.47905i 0.818099 0.410594i
\(120\) −0.124727 0.115793i −0.0113860 0.0105704i
\(121\) −7.73229 + 6.48816i −0.702935 + 0.589833i
\(122\) −0.00779839 0.0442268i −0.000706033 0.00400411i
\(123\) −7.14545 1.63295i −0.644284 0.147239i
\(124\) 10.8008 12.8719i 0.969940 1.15593i
\(125\) −6.00001 10.3923i −0.536657 0.929518i
\(126\) −0.103530 0.0576100i −0.00922319 0.00513230i
\(127\) 2.63202 4.55879i 0.233554 0.404527i −0.725298 0.688435i \(-0.758298\pi\)
0.958851 + 0.283908i \(0.0916312\pi\)
\(128\) 0.163325 + 0.448733i 0.0144361 + 0.0396627i
\(129\) 0.151579 3.02061i 0.0133458 0.265950i
\(130\) 0.0840478 0.0705245i 0.00737148 0.00618540i
\(131\) −2.62848 14.9069i −0.229652 1.30242i −0.853590 0.520946i \(-0.825579\pi\)
0.623938 0.781474i \(-0.285532\pi\)
\(132\) 1.97377 + 15.7852i 0.171795 + 1.37393i
\(133\) −3.87818 0.226907i −0.336281 0.0196753i
\(134\) 0.161858i 0.0139824i
\(135\) −8.54916 + 0.206200i −0.735794 + 0.0177469i
\(136\) 0.195143 0.112666i 0.0167334 0.00966102i
\(137\) −2.29638 + 2.73672i −0.196193 + 0.233814i −0.855168 0.518351i \(-0.826546\pi\)
0.658975 + 0.752165i \(0.270990\pi\)
\(138\) 0.190620 0.0238349i 0.0162266 0.00202896i
\(139\) 3.91305 + 4.66340i 0.331901 + 0.395544i 0.906025 0.423224i \(-0.139102\pi\)
−0.574124 + 0.818768i \(0.694657\pi\)
\(140\) −2.49516 8.34245i −0.210880 0.705065i
\(141\) 2.54134 1.30199i 0.214019 0.109648i
\(142\) −0.108001 + 0.0393092i −0.00906326 + 0.00329876i
\(143\) −20.5121 −1.71530
\(144\) 10.8052 + 5.21076i 0.900431 + 0.434230i
\(145\) 13.6295i 1.13187i
\(146\) −0.0410273 + 0.232677i −0.00339544 + 0.0192565i
\(147\) −6.14086 10.4542i −0.506489 0.862246i
\(148\) 1.49327 + 0.543505i 0.122746 + 0.0446758i
\(149\) 12.9982 + 15.4906i 1.06485 + 1.26904i 0.961620 + 0.274383i \(0.0884738\pi\)
0.103231 + 0.994657i \(0.467082\pi\)
\(150\) −0.0434180 0.0403081i −0.00354507 0.00329114i
\(151\) −17.9723 + 6.54137i −1.46256 + 0.532329i −0.946070 0.323963i \(-0.894985\pi\)
−0.516492 + 0.856292i \(0.672762\pi\)
\(152\) −0.0876657 −0.00711062
\(153\) 3.07249 10.8975i 0.248396 0.881007i
\(154\) 0.0718866 0.166531i 0.00579279 0.0134194i
\(155\) −8.88877 + 10.5932i −0.713963 + 0.850868i
\(156\) −8.39642 + 12.9924i −0.672252 + 1.04023i
\(157\) −10.2114 12.1695i −0.814957 0.971228i 0.184977 0.982743i \(-0.440779\pi\)
−0.999934 + 0.0115149i \(0.996335\pi\)
\(158\) −0.00813802 + 0.0223590i −0.000647426 + 0.00177879i
\(159\) −5.85037 + 4.42897i −0.463965 + 0.351240i
\(160\) −0.100811 0.276977i −0.00796983 0.0218969i
\(161\) 18.0488 + 7.79114i 1.42244 + 0.614028i
\(162\) −0.127394 + 0.0426475i −0.0100090 + 0.00335070i
\(163\) 8.71884 15.1015i 0.682912 1.18284i −0.291176 0.956670i \(-0.594046\pi\)
0.974088 0.226169i \(-0.0726202\pi\)
\(164\) −6.48275 5.43967i −0.506218 0.424767i
\(165\) −1.62436 12.9908i −0.126456 1.01133i
\(166\) −0.0722216 + 0.0127346i −0.00560548 + 0.000988397i
\(167\) −1.64317 9.31890i −0.127153 0.721118i −0.980006 0.198968i \(-0.936241\pi\)
0.852853 0.522150i \(-0.174870\pi\)
\(168\) −0.152119 0.227415i −0.0117362 0.0175454i
\(169\) −5.32122 4.46503i −0.409325 0.343464i
\(170\) −0.0802943 + 0.0463580i −0.00615829 + 0.00355549i
\(171\) −3.15504 + 3.07399i −0.241272 + 0.235074i
\(172\) 1.74595 3.02408i 0.133128 0.230584i
\(173\) 1.16427 + 0.976939i 0.0885179 + 0.0742753i 0.685973 0.727627i \(-0.259377\pi\)
−0.597455 + 0.801902i \(0.703821\pi\)
\(174\) −0.0630555 0.204619i −0.00478023 0.0155121i
\(175\) −1.73725 5.80840i −0.131323 0.439074i
\(176\) −6.28122 + 17.2575i −0.473465 + 1.30083i
\(177\) 13.6271 14.6785i 1.02427 1.10330i
\(178\) 0.0366821 + 0.100783i 0.00274944 + 0.00755402i
\(179\) −7.44216 4.29673i −0.556253 0.321153i 0.195387 0.980726i \(-0.437404\pi\)
−0.751640 + 0.659573i \(0.770737\pi\)
\(180\) −8.89337 4.28880i −0.662872 0.319668i
\(181\) 9.18805 + 5.30472i 0.682942 + 0.394297i 0.800963 0.598714i \(-0.204322\pi\)
−0.118021 + 0.993011i \(0.537655\pi\)
\(182\) 0.157641 0.0791183i 0.0116852 0.00586464i
\(183\) −2.37605 4.63778i −0.175643 0.342835i
\(184\) 0.416867 + 0.151727i 0.0307318 + 0.0111855i
\(185\) −1.22892 0.447290i −0.0903520 0.0328854i
\(186\) −0.0844382 + 0.200159i −0.00619131 + 0.0146763i
\(187\) 17.0704 + 3.00996i 1.24831 + 0.220110i
\(188\) 3.29682 0.240445
\(189\) −13.4490 2.85052i −0.978268 0.207345i
\(190\) 0.0360713 0.00261688
\(191\) −9.68268 1.70732i −0.700614 0.123537i −0.188016 0.982166i \(-0.560206\pi\)
−0.512598 + 0.858629i \(0.671317\pi\)
\(192\) 8.35796 + 11.0403i 0.603183 + 0.796764i
\(193\) −18.3352 6.67347i −1.31980 0.480367i −0.416404 0.909180i \(-0.636710\pi\)
−0.903393 + 0.428813i \(0.858932\pi\)
\(194\) 0.0222969 + 0.00811539i 0.00160082 + 0.000582651i
\(195\) 6.91004 10.6924i 0.494838 0.765701i
\(196\) −0.806547 13.9752i −0.0576105 0.998228i
\(197\) −3.74738 2.16355i −0.266990 0.154147i 0.360529 0.932748i \(-0.382596\pi\)
−0.627519 + 0.778601i \(0.715930\pi\)
\(198\) −0.0844872 0.187516i −0.00600424 0.0133262i
\(199\) 1.46886 + 0.848046i 0.104125 + 0.0601164i 0.551158 0.834401i \(-0.314186\pi\)
−0.447033 + 0.894517i \(0.647519\pi\)
\(200\) −0.0467921 0.128560i −0.00330870 0.00909058i
\(201\) 5.53093 + 17.9482i 0.390122 + 1.26597i
\(202\) −0.0117992 + 0.0324181i −0.000830191 + 0.00228093i
\(203\) 5.05865 21.3190i 0.355048 1.49630i
\(204\) 8.89412 9.58034i 0.622713 0.670758i
\(205\) 5.33514 + 4.47671i 0.372622 + 0.312667i
\(206\) −0.00408194 + 0.00707013i −0.000284402 + 0.000492599i
\(207\) 20.3231 9.15680i 1.41256 0.636442i
\(208\) −15.4660 + 8.92928i −1.07237 + 0.619134i
\(209\) −5.16597 4.33477i −0.357338 0.299842i
\(210\) 0.0625914 + 0.0935731i 0.00431922 + 0.00645716i
\(211\) 1.04647 + 5.93483i 0.0720420 + 0.408570i 0.999408 + 0.0344141i \(0.0109565\pi\)
−0.927366 + 0.374156i \(0.877932\pi\)
\(212\) −8.34326 + 1.47114i −0.573017 + 0.101038i
\(213\) −10.6329 + 8.04953i −0.728553 + 0.551544i
\(214\) −0.0381983 0.0320521i −0.00261118 0.00219104i
\(215\) −1.43687 + 2.48874i −0.0979939 + 0.169730i
\(216\) −0.306732 0.0464892i −0.0208705 0.00316319i
\(217\) −17.8354 + 13.2706i −1.21074 + 0.900868i
\(218\) −0.0196642 0.0540270i −0.00133183 0.00365917i
\(219\) 3.40148 + 27.2033i 0.229850 + 1.83823i
\(220\) 5.16985 14.2041i 0.348551 0.957637i
\(221\) 10.8346 + 12.9122i 0.728814 + 0.868567i
\(222\) −0.0205191 0.00102968i −0.00137715 6.91074e-5i
\(223\) 0.590154 0.703318i 0.0395196 0.0470976i −0.745923 0.666033i \(-0.767991\pi\)
0.785442 + 0.618935i \(0.212436\pi\)
\(224\) −0.0548859 0.470658i −0.00366722 0.0314472i
\(225\) −6.19197 2.98606i −0.412798 0.199071i
\(226\) −0.0686157 −0.00456425
\(227\) −12.5247 + 4.55861i −0.831293 + 0.302566i −0.722389 0.691487i \(-0.756956\pi\)
−0.108903 + 0.994052i \(0.534734\pi\)
\(228\) −4.86030 + 1.49775i −0.321882 + 0.0991911i
\(229\) 7.91645 + 9.43446i 0.523134 + 0.623447i 0.961319 0.275438i \(-0.0888229\pi\)
−0.438185 + 0.898885i \(0.644378\pi\)
\(230\) −0.171526 0.0624303i −0.0113101 0.00411653i
\(231\) 2.28081 20.9229i 0.150066 1.37663i
\(232\) 0.0858601 0.486937i 0.00563699 0.0319690i
\(233\) 24.9355i 1.63358i −0.576937 0.816788i \(-0.695752\pi\)
0.576937 0.816788i \(-0.304248\pi\)
\(234\) 0.0542726 0.192493i 0.00354791 0.0125837i
\(235\) −2.71320 −0.176989
\(236\) 21.7302 7.90913i 1.41451 0.514840i
\(237\) −0.138373 + 2.75746i −0.00898831 + 0.179116i
\(238\) −0.142801 + 0.0427106i −0.00925640 + 0.00276852i
\(239\) 7.34853 + 8.75764i 0.475337 + 0.566485i 0.949425 0.313993i \(-0.101667\pi\)
−0.474088 + 0.880477i \(0.657222\pi\)
\(240\) −6.87991 9.08790i −0.444096 0.586621i
\(241\) −3.95464 + 4.71296i −0.254741 + 0.303588i −0.878225 0.478248i \(-0.841272\pi\)
0.623484 + 0.781836i \(0.285717\pi\)
\(242\) 0.130484 0.0753350i 0.00838784 0.00484272i
\(243\) −12.6693 + 9.08239i −0.812734 + 0.582635i
\(244\) 6.01649i 0.385166i
\(245\) 0.663767 + 11.5012i 0.0424065 + 0.734786i
\(246\) 0.100807 + 0.0425262i 0.00642723 + 0.00271137i
\(247\) −1.13874 6.45809i −0.0724560 0.410919i
\(248\) −0.384299 + 0.322465i −0.0244030 + 0.0204766i
\(249\) −7.57341 + 3.88005i −0.479945 + 0.245888i
\(250\) 0.0612642 + 0.168322i 0.00387469 + 0.0106456i
\(251\) −6.31801 + 10.9431i −0.398789 + 0.690724i −0.993577 0.113160i \(-0.963903\pi\)
0.594787 + 0.803883i \(0.297236\pi\)
\(252\) −12.3190 10.0093i −0.776026 0.630525i
\(253\) 17.0628 + 29.5536i 1.07273 + 1.85802i
\(254\) −0.0505079 + 0.0601929i −0.00316915 + 0.00377684i
\(255\) −7.31963 + 7.88437i −0.458373 + 0.493738i
\(256\) 2.77528 + 15.7394i 0.173455 + 0.983711i
\(257\) 11.4631 9.61867i 0.715048 0.599996i −0.210963 0.977494i \(-0.567660\pi\)
0.926010 + 0.377498i \(0.123215\pi\)
\(258\) −0.0100578 + 0.0440108i −0.000626173 + 0.00273999i
\(259\) −1.75624 1.15576i −0.109127 0.0718156i
\(260\) 12.7295 7.34939i 0.789451 0.455790i
\(261\) −13.9843 20.5353i −0.865607 1.27110i
\(262\) 0.225948i 0.0139591i
\(263\) 15.6917 + 2.76688i 0.967594 + 0.170613i 0.635047 0.772474i \(-0.280981\pi\)
0.332547 + 0.943087i \(0.392092\pi\)
\(264\) 0.0238037 0.474352i 0.00146501 0.0291943i
\(265\) 6.86628 1.21071i 0.421792 0.0743734i
\(266\) 0.0564220 + 0.0133880i 0.00345945 + 0.000820872i
\(267\) 7.51156 + 9.92226i 0.459700 + 0.607232i
\(268\) −3.76541 + 21.3547i −0.230009 + 1.30445i
\(269\) 4.94336 + 8.56215i 0.301402 + 0.522044i 0.976454 0.215727i \(-0.0692121\pi\)
−0.675052 + 0.737770i \(0.735879\pi\)
\(270\) 0.126209 + 0.0191286i 0.00768084 + 0.00116413i
\(271\) 1.92889 + 1.11364i 0.117171 + 0.0676490i 0.557440 0.830217i \(-0.311784\pi\)
−0.440269 + 0.897866i \(0.645117\pi\)
\(272\) 14.1812 5.16155i 0.859864 0.312965i
\(273\) 14.7771 14.1602i 0.894350 0.857014i
\(274\) 0.0408511 0.0342782i 0.00246791 0.00207082i
\(275\) 3.59949 9.88952i 0.217057 0.596361i
\(276\) 25.7039 + 1.28986i 1.54719 + 0.0776404i
\(277\) −1.50230 + 8.51996i −0.0902644 + 0.511915i 0.905832 + 0.423638i \(0.139247\pi\)
−0.996096 + 0.0882769i \(0.971864\pi\)
\(278\) −0.0454351 0.0786958i −0.00272501 0.00471986i
\(279\) −2.52353 + 25.0808i −0.151080 + 1.50155i
\(280\) 0.0301125 + 0.258221i 0.00179957 + 0.0154317i
\(281\) 29.4759 + 5.19740i 1.75839 + 0.310051i 0.957429 0.288670i \(-0.0932130\pi\)
0.800958 + 0.598721i \(0.204324\pi\)
\(282\) −0.0407331 + 0.0125523i −0.00242562 + 0.000747480i
\(283\) 9.64374 1.70045i 0.573261 0.101081i 0.120500 0.992713i \(-0.461550\pi\)
0.452761 + 0.891632i \(0.350439\pi\)
\(284\) −15.1636 + 2.67376i −0.899795 + 0.158658i
\(285\) 3.99990 1.23261i 0.236934 0.0730136i
\(286\) 0.301532 + 0.0531682i 0.0178300 + 0.00314390i
\(287\) 6.68357 + 8.98254i 0.394518 + 0.530223i
\(288\) −0.436077 0.313879i −0.0256961 0.0184955i
\(289\) 1.37807 + 2.38689i 0.0810630 + 0.140405i
\(290\) −0.0353283 + 0.200357i −0.00207455 + 0.0117654i
\(291\) 2.74979 + 0.137989i 0.161196 + 0.00808903i
\(292\) −10.8259 + 29.7438i −0.633536 + 1.74063i
\(293\) 7.96197 6.68088i 0.465143 0.390301i −0.379876 0.925037i \(-0.624033\pi\)
0.845019 + 0.534736i \(0.179589\pi\)
\(294\) 0.0631743 + 0.169596i 0.00368440 + 0.00989106i
\(295\) −17.8834 + 6.50901i −1.04121 + 0.378969i
\(296\) −0.0410875 0.0237219i −0.00238816 0.00137881i
\(297\) −15.7764 17.9064i −0.915439 1.03903i
\(298\) −0.150924 0.261408i −0.00874278 0.0151429i
\(299\) −5.76242 + 32.6803i −0.333249 + 1.88995i
\(300\) −4.79065 6.32812i −0.276588 0.365354i
\(301\) −3.17124 + 3.35953i −0.182787 + 0.193640i
\(302\) 0.281152 0.0495747i 0.0161785 0.00285270i
\(303\) −0.200626 + 3.99801i −0.0115257 + 0.229680i
\(304\) −5.78212 1.01954i −0.331627 0.0584749i
\(305\) 4.95142i 0.283517i
\(306\) −0.0734130 + 0.152231i −0.00419674 + 0.00870247i
\(307\) 14.7821 8.53446i 0.843660 0.487087i −0.0148465 0.999890i \(-0.504726\pi\)
0.858507 + 0.512802i \(0.171393\pi\)
\(308\) 13.3585 20.2989i 0.761170 1.15664i
\(309\) −0.211045 + 0.923485i −0.0120059 + 0.0525352i
\(310\) 0.158125 0.132683i 0.00898091 0.00753588i
\(311\) −5.77607 32.7577i −0.327531 1.85752i −0.491260 0.871013i \(-0.663463\pi\)
0.163729 0.986505i \(-0.447648\pi\)
\(312\) 0.314230 0.338474i 0.0177898 0.0191623i
\(313\) −0.628153 + 0.748603i −0.0355053 + 0.0423135i −0.783505 0.621386i \(-0.786570\pi\)
0.748000 + 0.663699i \(0.231014\pi\)
\(314\) 0.118566 + 0.205362i 0.00669106 + 0.0115893i
\(315\) 10.1382 + 8.23737i 0.571225 + 0.464123i
\(316\) −1.59384 + 2.76062i −0.0896608 + 0.155297i
\(317\) 1.15835 + 3.18255i 0.0650597 + 0.178750i 0.967963 0.251095i \(-0.0807905\pi\)
−0.902903 + 0.429845i \(0.858568\pi\)
\(318\) 0.0974820 0.0499425i 0.00546652 0.00280064i
\(319\) 29.1369 24.4488i 1.63136 1.36887i
\(320\) −2.28474 12.9574i −0.127721 0.724342i
\(321\) −5.33104 2.24893i −0.297549 0.125523i
\(322\) −0.245126 0.161315i −0.0136603 0.00898972i
\(323\) 5.54159i 0.308343i
\(324\) −17.7999 + 2.66304i −0.988883 + 0.147946i
\(325\) 8.86287 5.11698i 0.491624 0.283839i
\(326\) −0.167313 + 0.199396i −0.00926660 + 0.0110435i
\(327\) −4.02673 5.31904i −0.222679 0.294144i
\(328\) 0.162405 + 0.193547i 0.00896733 + 0.0106868i
\(329\) −4.24393 1.00702i −0.233975 0.0555185i
\(330\) −0.00979435 + 0.195179i −0.000539161 + 0.0107442i
\(331\) −5.71144 + 2.07879i −0.313929 + 0.114261i −0.494179 0.869360i \(-0.664531\pi\)
0.180250 + 0.983621i \(0.442309\pi\)
\(332\) −9.82481 −0.539206
\(333\) −2.31052 + 0.586989i −0.126616 + 0.0321668i
\(334\) 0.141249i 0.00772881i
\(335\) 3.09883 17.5744i 0.169307 0.960190i
\(336\) −7.38841 16.7686i −0.403071 0.914803i
\(337\) −16.0696 5.84885i −0.875366 0.318607i −0.135028 0.990842i \(-0.543112\pi\)
−0.740338 + 0.672235i \(0.765335\pi\)
\(338\) 0.0666496 + 0.0794299i 0.00362526 + 0.00432042i
\(339\) −7.60872 + 2.34470i −0.413249 + 0.127347i
\(340\) −11.6721 + 4.24830i −0.633008 + 0.230396i
\(341\) −38.5908 −2.08981
\(342\) 0.0543478 0.0370103i 0.00293879 0.00200129i
\(343\) −3.23048 + 18.2363i −0.174429 + 0.984670i
\(344\) −0.0670127 + 0.0798626i −0.00361308 + 0.00430590i
\(345\) −21.1536 1.06152i −1.13887 0.0571504i
\(346\) −0.0145828 0.0173791i −0.000783975 0.000934305i
\(347\) −7.20872 + 19.8058i −0.386984 + 1.06323i 0.581367 + 0.813641i \(0.302518\pi\)
−0.968352 + 0.249590i \(0.919704\pi\)
\(348\) −3.55903 28.4634i −0.190784 1.52580i
\(349\) 2.22508 + 6.11336i 0.119106 + 0.327240i 0.984891 0.173175i \(-0.0554027\pi\)
−0.865785 + 0.500416i \(0.833181\pi\)
\(350\) 0.0104823 + 0.0898878i 0.000560302 + 0.00480471i
\(351\) −0.559569 23.2000i −0.0298676 1.23832i
\(352\) 0.411279 0.712357i 0.0219213 0.0379687i
\(353\) 14.6259 + 12.2726i 0.778459 + 0.653204i 0.942860 0.333189i \(-0.108125\pi\)
−0.164401 + 0.986394i \(0.552569\pi\)
\(354\) −0.238369 + 0.180455i −0.0126691 + 0.00959107i
\(355\) 12.4793 2.20043i 0.662331 0.116787i
\(356\) 2.49506 + 14.1502i 0.132238 + 0.749959i
\(357\) −14.3755 + 9.61586i −0.760834 + 0.508925i
\(358\) 0.0982642 + 0.0824534i 0.00519342 + 0.00435780i
\(359\) −17.4085 + 10.0508i −0.918784 + 0.530460i −0.883247 0.468908i \(-0.844648\pi\)
−0.0355371 + 0.999368i \(0.511314\pi\)
\(360\) 0.239249 + 0.172206i 0.0126095 + 0.00907607i
\(361\) −8.42202 + 14.5874i −0.443264 + 0.767756i
\(362\) −0.121316 0.101797i −0.00637625 0.00535031i
\(363\) 11.8949 12.8127i 0.624322 0.672491i
\(364\) 22.6390 6.77115i 1.18661 0.354905i
\(365\) 8.90941 24.4784i 0.466340 1.28126i
\(366\) 0.0229072 + 0.0743354i 0.00119738 + 0.00388557i
\(367\) −0.211500 0.581091i −0.0110402 0.0303327i 0.934050 0.357142i \(-0.116249\pi\)
−0.945090 + 0.326809i \(0.894027\pi\)
\(368\) 25.7305 + 14.8555i 1.34130 + 0.774398i
\(369\) 12.6316 + 1.27094i 0.657574 + 0.0661627i
\(370\) 0.0169060 + 0.00976069i 0.000878902 + 0.000507434i
\(371\) 11.1895 + 0.654681i 0.580928 + 0.0339894i
\(372\) −15.7968 + 24.4436i −0.819026 + 1.26734i
\(373\) −30.2831 11.0222i −1.56800 0.570706i −0.595450 0.803392i \(-0.703026\pi\)
−0.972552 + 0.232686i \(0.925248\pi\)
\(374\) −0.243136 0.0884944i −0.0125723 0.00457593i
\(375\) 12.5453 + 16.5715i 0.647839 + 0.855751i
\(376\) −0.0969334 0.0170920i −0.00499896 0.000881452i
\(377\) 36.9866 1.90491
\(378\) 0.190314 + 0.0767637i 0.00978870 + 0.00394830i
\(379\) 8.60323 0.441918 0.220959 0.975283i \(-0.429081\pi\)
0.220959 + 0.975283i \(0.429081\pi\)
\(380\) 4.75907 + 0.839152i 0.244135 + 0.0430476i
\(381\) −3.54388 + 8.40066i −0.181558 + 0.430379i
\(382\) 0.137912 + 0.0501960i 0.00705621 + 0.00256825i
\(383\) 11.4138 + 4.15427i 0.583216 + 0.212273i 0.616743 0.787164i \(-0.288452\pi\)
−0.0335270 + 0.999438i \(0.510674\pi\)
\(384\) −0.377135 0.736123i −0.0192456 0.0375651i
\(385\) −10.9937 + 16.7055i −0.560290 + 0.851389i
\(386\) 0.252234 + 0.145627i 0.0128384 + 0.00741224i
\(387\) 0.388618 + 5.22400i 0.0197546 + 0.265551i
\(388\) 2.75294 + 1.58941i 0.139760 + 0.0806902i
\(389\) −11.0030 30.2306i −0.557876 1.53275i −0.822712 0.568459i \(-0.807540\pi\)
0.264836 0.964294i \(-0.414682\pi\)
\(390\) −0.129294 + 0.139270i −0.00654708 + 0.00705221i
\(391\) 9.59110 26.3513i 0.485043 1.33264i
\(392\) −0.0487386 + 0.415081i −0.00246167 + 0.0209648i
\(393\) 7.72099 + 25.0551i 0.389472 + 1.26386i
\(394\) 0.0494794 + 0.0415181i 0.00249274 + 0.00209165i
\(395\) 1.31169 2.27192i 0.0659984 0.114313i
\(396\) −6.78451 26.7054i −0.340934 1.34200i
\(397\) 10.0122 5.78053i 0.502496 0.290116i −0.227247 0.973837i \(-0.572973\pi\)
0.729744 + 0.683721i \(0.239639\pi\)
\(398\) −0.0193944 0.0162738i −0.000972153 0.000815733i
\(399\) 6.71406 0.443445i 0.336124 0.0222000i
\(400\) −1.59110 9.02357i −0.0795549 0.451179i
\(401\) 0.101869 0.0179623i 0.00508710 0.000896994i −0.171104 0.985253i \(-0.554733\pi\)
0.176191 + 0.984356i \(0.443622\pi\)
\(402\) −0.0347833 0.278180i −0.00173483 0.0138743i
\(403\) −28.7470 24.1216i −1.43199 1.20158i
\(404\) −2.31090 + 4.00259i −0.114971 + 0.199136i
\(405\) 14.6488 2.19161i 0.727907 0.108902i
\(406\) −0.129623 + 0.300282i −0.00643310 + 0.0149028i
\(407\) −1.24824 3.42952i −0.0618731 0.169995i
\(408\) −0.311174 + 0.235572i −0.0154054 + 0.0116625i
\(409\) −1.24227 + 3.41310i −0.0614262 + 0.168767i −0.966609 0.256255i \(-0.917511\pi\)
0.905183 + 0.425022i \(0.139734\pi\)
\(410\) −0.0668239 0.0796376i −0.00330020 0.00393302i
\(411\) 3.35860 5.19701i 0.165667 0.256350i
\(412\) −0.703029 + 0.837837i −0.0346357 + 0.0412773i
\(413\) −30.3886 + 3.54378i −1.49533 + 0.174378i
\(414\) −0.322490 + 0.0819286i −0.0158495 + 0.00402657i
\(415\) 8.08556 0.396905
\(416\) 0.751635 0.273573i 0.0368520 0.0134130i
\(417\) −7.72741 7.17391i −0.378413 0.351308i
\(418\) 0.0647051 + 0.0771125i 0.00316483 + 0.00377170i
\(419\) −37.3388 13.5902i −1.82412 0.663926i −0.994392 0.105761i \(-0.966272\pi\)
−0.829730 0.558165i \(-0.811506\pi\)
\(420\) 6.08115 + 13.8017i 0.296730 + 0.673453i
\(421\) −1.45892 + 8.27397i −0.0711036 + 0.403249i 0.928395 + 0.371594i \(0.121189\pi\)
−0.999499 + 0.0316544i \(0.989922\pi\)
\(422\) 0.0899558i 0.00437898i
\(423\) −4.08792 + 2.78383i −0.198761 + 0.135354i
\(424\) 0.252936 0.0122837
\(425\) −8.12665 + 2.95786i −0.394201 + 0.143477i
\(426\) 0.177171 0.0907690i 0.00858394 0.00439777i
\(427\) −1.83774 + 7.74491i −0.0889345 + 0.374802i
\(428\) −4.29404 5.11744i −0.207560 0.247361i
\(429\) 35.2534 4.40805i 1.70205 0.212823i
\(430\) 0.0275733 0.0328606i 0.00132970 0.00158468i
\(431\) 4.45253 2.57067i 0.214471 0.123825i −0.388917 0.921273i \(-0.627151\pi\)
0.603387 + 0.797448i \(0.293817\pi\)
\(432\) −19.6903 6.63353i −0.947350 0.319156i
\(433\) 19.5889i 0.941384i 0.882298 + 0.470692i \(0.155996\pi\)
−0.882298 + 0.470692i \(0.844004\pi\)
\(434\) 0.296582 0.148851i 0.0142364 0.00714508i
\(435\) 2.92899 + 23.4246i 0.140434 + 1.12312i
\(436\) −1.33753 7.58552i −0.0640562 0.363281i
\(437\) −8.35753 + 7.01280i −0.399795 + 0.335468i
\(438\) 0.0205097 0.408712i 0.000979993 0.0195290i
\(439\) −11.0039 30.2330i −0.525189 1.44294i −0.864674 0.502333i \(-0.832475\pi\)
0.339485 0.940611i \(-0.389747\pi\)
\(440\) −0.225644 + 0.390827i −0.0107572 + 0.0186319i
\(441\) 12.8007 + 16.6476i 0.609557 + 0.792742i
\(442\) −0.125802 0.217896i −0.00598380 0.0103643i
\(443\) −14.9004 + 17.7576i −0.707939 + 0.843689i −0.993400 0.114701i \(-0.963409\pi\)
0.285461 + 0.958390i \(0.407853\pi\)
\(444\) −2.68323 0.613200i −0.127340 0.0291012i
\(445\) −2.05337 11.6453i −0.0973392 0.552038i
\(446\) −0.0104984 + 0.00880923i −0.000497115 + 0.000417129i
\(447\) −25.6685 23.8299i −1.21408 1.12712i
\(448\) 1.23545 21.1158i 0.0583697 0.997626i
\(449\) −16.3545 + 9.44229i −0.771817 + 0.445609i −0.833523 0.552485i \(-0.813679\pi\)
0.0617051 + 0.998094i \(0.480346\pi\)
\(450\) 0.0832834 + 0.0599457i 0.00392602 + 0.00282587i
\(451\) 19.4357i 0.915193i
\(452\) −9.05281 1.59625i −0.425808 0.0750815i
\(453\) 29.4826 15.1047i 1.38521 0.709680i
\(454\) 0.195932 0.0345481i 0.00919554 0.00162142i
\(455\) −18.6313 + 5.57248i −0.873450 + 0.261242i
\(456\) 0.150668 0.0188394i 0.00705568 0.000882236i
\(457\) −3.19633 + 18.1273i −0.149518 + 0.847960i 0.814109 + 0.580711i \(0.197226\pi\)
−0.963628 + 0.267248i \(0.913886\pi\)
\(458\) −0.0919191 0.159209i −0.00429510 0.00743933i
\(459\) −2.93871 + 19.3894i −0.137167 + 0.905019i
\(460\) −21.1779 12.2271i −0.987425 0.570090i
\(461\) 15.0689 5.48464i 0.701830 0.255445i 0.0336380 0.999434i \(-0.489291\pi\)
0.668192 + 0.743989i \(0.267068\pi\)
\(462\) −0.0877616 + 0.301659i −0.00408304 + 0.0140345i
\(463\) 27.7311 23.2691i 1.28877 1.08141i 0.296802 0.954939i \(-0.404080\pi\)
0.991971 0.126469i \(-0.0403645\pi\)
\(464\) 11.3261 31.1181i 0.525799 1.44462i
\(465\) 13.0004 20.1164i 0.602877 0.932877i
\(466\) −0.0646339 + 0.366557i −0.00299411 + 0.0169804i
\(467\) −5.43272 9.40975i −0.251396 0.435431i 0.712514 0.701658i \(-0.247556\pi\)
−0.963911 + 0.266226i \(0.914223\pi\)
\(468\) 11.6386 24.1341i 0.537993 1.11560i
\(469\) 11.3699 26.3393i 0.525015 1.21624i
\(470\) 0.0398846 + 0.00703274i 0.00183974 + 0.000324396i
\(471\) 20.1652 + 18.7208i 0.929163 + 0.862609i
\(472\) −0.679916 + 0.119888i −0.0312957 + 0.00551827i
\(473\) −7.89786 + 1.39261i −0.363144 + 0.0640321i
\(474\) 0.00918158 0.0401766i 0.000421724 0.00184537i
\(475\) 3.31348 + 0.584256i 0.152033 + 0.0268075i
\(476\) −19.8340 + 2.31295i −0.909092 + 0.106014i
\(477\) 9.10305 8.86918i 0.416800 0.406092i
\(478\) −0.0853249 0.147787i −0.00390267 0.00675962i
\(479\) 2.14052 12.1395i 0.0978027 0.554667i −0.896050 0.443954i \(-0.853575\pi\)
0.993852 0.110713i \(-0.0353135\pi\)
\(480\) 0.232783 + 0.454366i 0.0106251 + 0.0207389i
\(481\) 1.21382 3.33494i 0.0553453 0.152060i
\(482\) 0.0703504 0.0590310i 0.00320437 0.00268879i
\(483\) −32.6941 9.51168i −1.48763 0.432796i
\(484\) 18.9680 6.90379i 0.862182 0.313809i
\(485\) −2.26560 1.30805i −0.102876 0.0593953i
\(486\) 0.209783 0.100674i 0.00951596 0.00456666i
\(487\) 9.66499 + 16.7403i 0.437963 + 0.758574i 0.997532 0.0702097i \(-0.0223669\pi\)
−0.559570 + 0.828783i \(0.689034\pi\)
\(488\) −0.0311918 + 0.176898i −0.00141199 + 0.00800777i
\(489\) −11.7395 + 27.8281i −0.530877 + 1.25843i
\(490\) 0.0200542 0.170791i 0.000905955 0.00771555i
\(491\) −32.7847 + 5.78082i −1.47955 + 0.260885i −0.854399 0.519617i \(-0.826074\pi\)
−0.625153 + 0.780502i \(0.714963\pi\)
\(492\) 12.3107 + 7.95584i 0.555008 + 0.358677i
\(493\) −30.7807 5.42746i −1.38629 0.244441i
\(494\) 0.0978871i 0.00440415i
\(495\) 5.58348 + 21.9778i 0.250959 + 0.987830i
\(496\) −29.0973 + 16.7993i −1.30651 + 0.754311i
\(497\) 20.3365 + 1.18986i 0.912218 + 0.0533727i
\(498\) 0.121388 0.0374070i 0.00543953 0.00167625i
\(499\) −15.4221 + 12.9407i −0.690389 + 0.579305i −0.919021 0.394208i \(-0.871019\pi\)
0.228633 + 0.973513i \(0.426575\pi\)
\(500\) 4.16710 + 23.6328i 0.186358 + 1.05689i
\(501\) 4.82671 + 15.6630i 0.215641 + 0.699770i
\(502\) 0.121241 0.144490i 0.00541127 0.00644890i
\(503\) 5.39577 + 9.34574i 0.240585 + 0.416706i 0.960881 0.276961i \(-0.0893273\pi\)
−0.720296 + 0.693667i \(0.755994\pi\)
\(504\) 0.310313 + 0.358160i 0.0138225 + 0.0159537i
\(505\) 1.90181 3.29403i 0.0846294 0.146582i
\(506\) −0.174223 0.478673i −0.00774514 0.0212796i
\(507\) 10.1049 + 6.53037i 0.448776 + 0.290024i
\(508\) −8.06407 + 6.76656i −0.357785 + 0.300218i
\(509\) −5.96937 33.8540i −0.264588 1.50055i −0.770207 0.637794i \(-0.779847\pi\)
0.505619 0.862757i \(-0.331264\pi\)
\(510\) 0.128037 0.0969292i 0.00566957 0.00429210i
\(511\) 23.0212 34.9819i 1.01840 1.54751i
\(512\) 1.19363i 0.0527514i
\(513\) 4.76187 5.96118i 0.210242 0.263193i
\(514\) −0.193442 + 0.111684i −0.00853237 + 0.00492616i
\(515\) 0.578574 0.689518i 0.0254950 0.0303838i
\(516\) −2.35083 + 5.57259i −0.103490 + 0.245320i
\(517\) −4.86697 5.80022i −0.214049 0.255094i
\(518\) 0.0228213 + 0.0215422i 0.00100271 + 0.000946511i
\(519\) −2.21094 1.42883i −0.0970495 0.0627187i
\(520\) −0.412377 + 0.150093i −0.0180839 + 0.00658200i
\(521\) 32.8374 1.43863 0.719317 0.694682i \(-0.244455\pi\)
0.719317 + 0.694682i \(0.244455\pi\)
\(522\) 0.152344 + 0.338122i 0.00666793 + 0.0147992i
\(523\) 2.32319i 0.101586i 0.998709 + 0.0507929i \(0.0161749\pi\)
−0.998709 + 0.0507929i \(0.983825\pi\)
\(524\) −5.25638 + 29.8104i −0.229626 + 1.30227i
\(525\) 4.23398 + 9.60937i 0.184786 + 0.419387i
\(526\) −0.223500 0.0813475i −0.00974508 0.00354692i
\(527\) 20.3839 + 24.2926i 0.887938 + 1.05820i
\(528\) 7.08667 31.0097i 0.308408 1.34953i
\(529\) 30.2661 11.0160i 1.31592 0.478955i
\(530\) −0.104074 −0.00452069
\(531\) −20.2660 + 28.1559i −0.879470 + 1.22186i
\(532\) 7.13258 + 3.07893i 0.309237 + 0.133489i
\(533\) −12.1485 + 14.4780i −0.526210 + 0.627113i
\(534\) −0.0847027 0.165330i −0.00366544 0.00715452i
\(535\) 3.53388 + 4.21152i 0.152783 + 0.182080i
\(536\) 0.221422 0.608352i 0.00956397 0.0262768i
\(537\) 13.7140 + 5.78533i 0.591802 + 0.249655i
\(538\) −0.0504750 0.138679i −0.00217613 0.00597888i
\(539\) −23.3964 + 22.0500i −1.00776 + 0.949761i
\(540\) 16.2064 + 5.45983i 0.697413 + 0.234954i
\(541\) 9.54866 16.5388i 0.410529 0.711057i −0.584419 0.811452i \(-0.698677\pi\)
0.994948 + 0.100395i \(0.0320108\pi\)
\(542\) −0.0254685 0.0213706i −0.00109396 0.000917945i
\(543\) −16.9312 7.14253i −0.726587 0.306515i
\(544\) −0.665664 + 0.117374i −0.0285401 + 0.00503239i
\(545\) 1.10075 + 6.24269i 0.0471511 + 0.267407i
\(546\) −0.253931 + 0.169855i −0.0108672 + 0.00726914i
\(547\) 18.5854 + 15.5950i 0.794655 + 0.666795i 0.946893 0.321549i \(-0.104204\pi\)
−0.152238 + 0.988344i \(0.548648\pi\)
\(548\) 6.18713 3.57214i 0.264301 0.152594i
\(549\) 5.08031 + 7.46019i 0.216822 + 0.318393i
\(550\) −0.0785475 + 0.136048i −0.00334928 + 0.00580112i
\(551\) 9.31510 + 7.81630i 0.396837 + 0.332985i
\(552\) −0.749062 0.171184i −0.0318822 0.00728606i
\(553\) 2.89496 3.06685i 0.123106 0.130416i
\(554\) 0.0441683 0.121351i 0.00187653 0.00515573i
\(555\) 2.20823 + 0.504648i 0.0937341 + 0.0214211i
\(556\) −4.16372 11.4397i −0.176581 0.485153i
\(557\) 14.3493 + 8.28455i 0.607998 + 0.351028i 0.772181 0.635402i \(-0.219166\pi\)
−0.164184 + 0.986430i \(0.552499\pi\)
\(558\) 0.102107 0.362152i 0.00432254 0.0153311i
\(559\) −6.75372 3.89926i −0.285652 0.164921i
\(560\) −1.01697 + 17.3816i −0.0429750 + 0.734506i
\(561\) −29.9851 1.50470i −1.26597 0.0635283i
\(562\) −0.419831 0.152806i −0.0177095 0.00644573i
\(563\) 37.2905 + 13.5726i 1.57161 + 0.572019i 0.973358 0.229290i \(-0.0736405\pi\)
0.598251 + 0.801309i \(0.295863\pi\)
\(564\) −5.66614 + 0.708489i −0.238587 + 0.0298328i
\(565\) 7.45023 + 1.31368i 0.313433 + 0.0552668i
\(566\) −0.146173 −0.00614411
\(567\) 23.7269 + 2.00891i 0.996435 + 0.0843663i
\(568\) 0.459704 0.0192888
\(569\) −6.95833 1.22694i −0.291708 0.0514361i 0.0258789 0.999665i \(-0.491762\pi\)
−0.317587 + 0.948229i \(0.602873\pi\)
\(570\) −0.0619945 + 0.00775174i −0.00259666 + 0.000324685i
\(571\) 20.5987 + 7.49733i 0.862030 + 0.313753i 0.734935 0.678137i \(-0.237212\pi\)
0.127095 + 0.991891i \(0.459435\pi\)
\(572\) 38.5458 + 14.0295i 1.61168 + 0.586603i
\(573\) 17.0082 + 0.853497i 0.710528 + 0.0356554i
\(574\) −0.0749668 0.149370i −0.00312905 0.00623457i
\(575\) −14.7450 8.51305i −0.614910 0.355019i
\(576\) −16.7371 17.1785i −0.697380 0.715769i
\(577\) 3.83091 + 2.21178i 0.159483 + 0.0920775i 0.577617 0.816308i \(-0.303983\pi\)
−0.418134 + 0.908385i \(0.637316\pi\)
\(578\) −0.0140710 0.0386599i −0.000585278 0.00160804i
\(579\) 32.9463 + 7.52923i 1.36920 + 0.312904i
\(580\) −9.32210 + 25.6122i −0.387079 + 1.06349i
\(581\) 12.6473 + 3.00099i 0.524698 + 0.124502i
\(582\) −0.0400649 0.00915605i −0.00166074 0.000379531i
\(583\) 14.9051 + 12.5068i 0.617305 + 0.517980i
\(584\) 0.472507 0.818406i 0.0195525 0.0338659i
\(585\) −9.57824 + 19.8617i −0.396012 + 0.821180i
\(586\) −0.134360 + 0.0775728i −0.00555036 + 0.00320450i
\(587\) −28.2005 23.6630i −1.16396 0.976677i −0.164007 0.986459i \(-0.552442\pi\)
−0.999952 + 0.00978187i \(0.996886\pi\)
\(588\) 4.38946 + 23.8454i 0.181018 + 0.983366i
\(589\) −2.14239 12.1501i −0.0882755 0.500635i
\(590\) 0.279761 0.0493294i 0.0115176 0.00203086i
\(591\) 6.90545 + 2.91311i 0.284052 + 0.119829i
\(592\) −2.43410 2.04245i −0.100041 0.0839444i
\(593\) −15.9700 + 27.6608i −0.655809 + 1.13589i 0.325882 + 0.945411i \(0.394339\pi\)
−0.981690 + 0.190484i \(0.938994\pi\)
\(594\) 0.185503 + 0.304121i 0.00761126 + 0.0124782i
\(595\) 16.3229 1.90350i 0.669174 0.0780359i
\(596\) −13.8308 37.9999i −0.566533 1.55654i
\(597\) −2.70673 1.14185i −0.110779 0.0467328i
\(598\) 0.169418 0.465472i 0.00692801 0.0190346i
\(599\) −24.7052 29.4425i −1.00943 1.20299i −0.979086 0.203446i \(-0.934786\pi\)
−0.0303390 0.999540i \(-0.509659\pi\)
\(600\) 0.108048 + 0.210897i 0.00441103 + 0.00860982i
\(601\) −11.7434 + 13.9953i −0.479025 + 0.570880i −0.950391 0.311058i \(-0.899317\pi\)
0.471366 + 0.881938i \(0.343761\pi\)
\(602\) 0.0553260 0.0411659i 0.00225492 0.00167780i
\(603\) −13.3629 29.6584i −0.544180 1.20778i
\(604\) 38.2471 1.55625
\(605\) −15.6102 + 5.68164i −0.634644 + 0.230991i
\(606\) 0.0133123 0.0582516i 0.000540774 0.00236631i
\(607\) 12.5091 + 14.9077i 0.507727 + 0.605085i 0.957633 0.287990i \(-0.0929871\pi\)
−0.449906 + 0.893076i \(0.648543\pi\)
\(608\) 0.247113 + 0.0899419i 0.0100218 + 0.00364763i
\(609\) −4.11267 + 37.7274i −0.166654 + 1.52879i
\(610\) 0.0128343 0.0727870i 0.000519646 0.00294706i
\(611\) 7.36284i 0.297869i
\(612\) −13.2272 + 18.3768i −0.534678 + 0.742837i
\(613\) 26.4037 1.06643 0.533217 0.845979i \(-0.320983\pi\)
0.533217 + 0.845979i \(0.320983\pi\)
\(614\) −0.239422 + 0.0871426i −0.00966230 + 0.00351679i
\(615\) −10.1314 6.54745i −0.408536 0.264019i
\(616\) −0.498005 + 0.527575i −0.0200652 + 0.0212566i
\(617\) 16.7822 + 20.0003i 0.675628 + 0.805182i 0.989538 0.144271i \(-0.0460836\pi\)
−0.313910 + 0.949453i \(0.601639\pi\)
\(618\) 0.00549612 0.0130284i 0.000221087 0.000524080i
\(619\) −18.0250 + 21.4814i −0.724486 + 0.863409i −0.995058 0.0992909i \(-0.968343\pi\)
0.270573 + 0.962700i \(0.412787\pi\)
\(620\) 23.9489 13.8269i 0.961813 0.555303i
\(621\) −32.9609 + 20.1049i −1.32268 + 0.806784i
\(622\) 0.496518i 0.0199085i
\(623\) 1.11034 18.9774i 0.0444849 0.760313i
\(624\) 24.6620 18.6701i 0.987268 0.747403i
\(625\) −1.43988 8.16595i −0.0575951 0.326638i
\(626\) 0.0111744 0.00937644i 0.000446619 0.000374758i
\(627\) 9.81013 + 6.33985i 0.391779 + 0.253189i
\(628\) 10.8655 + 29.8528i 0.433581 + 1.19125i
\(629\) −1.49953 + 2.59725i −0.0597900 + 0.103559i
\(630\) −0.127683 0.147370i −0.00508700 0.00587136i
\(631\) −19.6263 33.9938i −0.781312 1.35327i −0.931178 0.364565i \(-0.881218\pi\)
0.149866 0.988706i \(-0.452116\pi\)
\(632\) 0.0611745 0.0729050i 0.00243339 0.00290000i
\(633\) −3.07393 9.97511i −0.122178 0.396475i
\(634\) −0.00877876 0.0497868i −0.000348649 0.00197729i
\(635\) 6.63652 5.56870i 0.263362 0.220987i
\(636\) 14.0231 4.32137i 0.556054 0.171354i
\(637\) −31.2110 + 1.80127i −1.23663 + 0.0713691i
\(638\) −0.491692 + 0.283879i −0.0194663 + 0.0112389i
\(639\) 16.5445 16.1195i 0.654491 0.637676i
\(640\) 0.785904i 0.0310656i
\(641\) −29.4709 5.19651i −1.16403 0.205250i −0.441937 0.897046i \(-0.645708\pi\)
−0.722092 + 0.691797i \(0.756819\pi\)
\(642\) 0.0725381 + 0.0468781i 0.00286285 + 0.00185013i
\(643\) −1.69315 + 0.298548i −0.0667714 + 0.0117736i −0.206934 0.978355i \(-0.566349\pi\)
0.140163 + 0.990128i \(0.455237\pi\)
\(644\) −28.5879 26.9856i −1.12652 1.06338i
\(645\) 1.93468 4.58610i 0.0761778 0.180577i
\(646\) 0.0143641 0.0814627i 0.000565147 0.00320511i
\(647\) −23.2767 40.3164i −0.915102 1.58500i −0.806752 0.590890i \(-0.798777\pi\)
−0.108350 0.994113i \(-0.534557\pi\)
\(648\) 0.537160 + 0.0139826i 0.0211017 + 0.000549288i
\(649\) −45.9942 26.5548i −1.80543 1.04237i
\(650\) −0.143550 + 0.0522479i −0.00563049 + 0.00204933i
\(651\) 27.8012 26.6406i 1.08962 1.04413i
\(652\) −26.7131 + 22.4150i −1.04617 + 0.877837i
\(653\) −6.57724 + 18.0708i −0.257387 + 0.707165i 0.741939 + 0.670467i \(0.233906\pi\)
−0.999326 + 0.0366983i \(0.988316\pi\)
\(654\) 0.0454067 + 0.0886286i 0.00177554 + 0.00346565i
\(655\) 4.32586 24.5332i 0.169026 0.958591i
\(656\) 8.46075 + 14.6544i 0.330337 + 0.572160i
\(657\) −11.6920 46.0224i −0.456149 1.79551i
\(658\) 0.0597765 + 0.0258038i 0.00233033 + 0.00100594i
\(659\) 20.4588 + 3.60744i 0.796962 + 0.140526i 0.557279 0.830325i \(-0.311845\pi\)
0.239683 + 0.970851i \(0.422957\pi\)
\(660\) −5.83280 + 25.5231i −0.227041 + 0.993484i
\(661\) 13.9006 2.45105i 0.540671 0.0953350i 0.103358 0.994644i \(-0.467041\pi\)
0.437313 + 0.899309i \(0.355930\pi\)
\(662\) 0.0893478 0.0157544i 0.00347260 0.000612313i
\(663\) −21.3959 19.8634i −0.830949 0.771430i
\(664\) 0.288870 + 0.0509356i 0.0112103 + 0.00197668i
\(665\) −5.86993 2.53388i −0.227626 0.0982597i
\(666\) 0.0354867 0.00263989i 0.00137508 0.000102294i
\(667\) −30.7670 53.2901i −1.19130 2.06340i
\(668\) −3.28598 + 18.6357i −0.127138 + 0.721038i
\(669\) −0.863134 + 1.33559i −0.0333707 + 0.0516370i
\(670\) −0.0911072 + 0.250315i −0.00351978 + 0.00967051i
\(671\) −10.5850 + 8.88191i −0.408631 + 0.342882i
\(672\) 0.195475 + 0.797110i 0.00754062 + 0.0307492i
\(673\) −6.36430 + 2.31642i −0.245326 + 0.0892913i −0.461757 0.887007i \(-0.652781\pi\)
0.216431 + 0.976298i \(0.430558\pi\)
\(674\) 0.221066 + 0.127633i 0.00851515 + 0.00491623i
\(675\) 11.2836 + 3.80139i 0.434308 + 0.146315i
\(676\) 6.94558 + 12.0301i 0.267138 + 0.462696i
\(677\) −5.48142 + 31.0867i −0.210668 + 1.19476i 0.677599 + 0.735431i \(0.263020\pi\)
−0.888267 + 0.459327i \(0.848091\pi\)
\(678\) 0.117927 0.0147456i 0.00452898 0.000566299i
\(679\) −3.05832 2.88691i −0.117368 0.110789i
\(680\) 0.365209 0.0643962i 0.0140051 0.00246948i
\(681\) 20.5461 10.5263i 0.787329 0.403369i
\(682\) 0.567294 + 0.100029i 0.0217228 + 0.00383032i
\(683\) 24.5110i 0.937886i −0.883229 0.468943i \(-0.844635\pi\)
0.883229 0.468943i \(-0.155365\pi\)
\(684\) 8.03138 3.61862i 0.307087 0.138361i
\(685\) −5.09185 + 2.93978i −0.194550 + 0.112323i
\(686\) 0.0947582 0.259705i 0.00361789 0.00991558i
\(687\) −15.6332 14.5134i −0.596445 0.553723i
\(688\) −5.34872 + 4.48811i −0.203918 + 0.171107i
\(689\) 3.28552 + 18.6331i 0.125168 + 0.709866i
\(690\) 0.308212 + 0.0704359i 0.0117334 + 0.00268145i
\(691\) 17.3675 20.6978i 0.660691 0.787381i −0.326793 0.945096i \(-0.605968\pi\)
0.987485 + 0.157714i \(0.0504125\pi\)
\(692\) −1.51968 2.63216i −0.0577695 0.100060i
\(693\) 0.576392 + 36.4496i 0.0218953 + 1.38461i
\(694\) 0.157307 0.272465i 0.00597131 0.0103426i
\(695\) 3.42663 + 9.41460i 0.129980 + 0.357116i
\(696\) −0.0429219 + 0.855334i −0.00162695 + 0.0324213i
\(697\) 12.2347 10.2661i 0.463420 0.388856i
\(698\) −0.0168631 0.0956353i −0.000638277 0.00361985i
\(699\) 5.35865 + 42.8558i 0.202683 + 1.62095i
\(700\) −0.708143 + 12.1032i −0.0267653 + 0.457458i
\(701\) 28.6921i 1.08369i −0.840479 0.541843i \(-0.817727\pi\)
0.840479 0.541843i \(-0.182273\pi\)
\(702\) −0.0519096 + 0.342495i −0.00195920 + 0.0129267i
\(703\) 1.01047 0.583393i 0.0381104 0.0220031i
\(704\) 23.6018 28.1275i 0.889525 1.06009i
\(705\) 4.66308 0.583068i 0.175622 0.0219596i
\(706\) −0.183193 0.218321i −0.00689457 0.00821662i
\(707\) 4.19737 4.44659i 0.157858 0.167231i
\(708\) −35.6472 + 18.2630i −1.33971 + 0.686365i
\(709\) 35.7630 13.0167i 1.34311 0.488852i 0.432319 0.901721i \(-0.357696\pi\)
0.910790 + 0.412869i \(0.135473\pi\)
\(710\) −0.189152 −0.00709874
\(711\) −0.354762 4.76889i −0.0133046 0.178847i
\(712\) 0.428981i 0.0160768i
\(713\) −10.8413 + 61.4838i −0.406008 + 2.30259i
\(714\) 0.236249 0.104093i 0.00884138 0.00389560i
\(715\) −31.7221 11.5459i −1.18634 0.431793i
\(716\) 11.0463 + 13.1645i 0.412820 + 0.491980i
\(717\) −14.5117 13.4723i −0.541949 0.503131i
\(718\) 0.281961 0.102625i 0.0105227 0.00382994i
\(719\) −12.3232 −0.459577 −0.229789 0.973241i \(-0.573803\pi\)
−0.229789 + 0.973241i \(0.573803\pi\)
\(720\) 13.7773 + 14.1406i 0.513449 + 0.526988i
\(721\) 1.16091 0.863790i 0.0432346 0.0321692i
\(722\) 0.161617 0.192607i 0.00601475 0.00716810i
\(723\) 5.78390 8.94986i 0.215105 0.332849i
\(724\) −13.6377 16.2528i −0.506842 0.604030i
\(725\) −6.49047 + 17.8324i −0.241050 + 0.662280i
\(726\) −0.208069 + 0.157517i −0.00772217 + 0.00584600i
\(727\) −9.28805 25.5187i −0.344475 0.946437i −0.984079 0.177732i \(-0.943124\pi\)
0.639604 0.768705i \(-0.279098\pi\)
\(728\) −0.700739 + 0.0817168i −0.0259711 + 0.00302863i
\(729\) 19.8224 18.3322i 0.734164 0.678972i
\(730\) −0.194420 + 0.336745i −0.00719579 + 0.0124635i
\(731\) 5.04834 + 4.23606i 0.186720 + 0.156676i
\(732\) 1.29295 + 10.3403i 0.0477887 + 0.382190i
\(733\) −45.2315 + 7.97554i −1.67066 + 0.294583i −0.927304 0.374308i \(-0.877880\pi\)
−0.743360 + 0.668891i \(0.766769\pi\)
\(734\) 0.00160288 + 0.00909040i 5.91635e−5 + 0.000335533i
\(735\) −3.61241 19.6241i −0.133246 0.723846i
\(736\) −1.01940 0.855382i −0.0375757 0.0315298i
\(737\) 43.1289 24.9005i 1.58867 0.917221i
\(738\) −0.182393 0.0514248i −0.00671398 0.00189297i
\(739\) −13.8133 + 23.9253i −0.508129 + 0.880106i 0.491826 + 0.870693i \(0.336330\pi\)
−0.999956 + 0.00941271i \(0.997004\pi\)
\(740\) 2.00343 + 1.68107i 0.0736474 + 0.0617975i
\(741\) 3.34496 + 10.8546i 0.122880 + 0.398754i
\(742\) −0.162791 0.0386276i −0.00597624 0.00141806i
\(743\) 3.93643 10.8153i 0.144414 0.396773i −0.846306 0.532698i \(-0.821178\pi\)
0.990719 + 0.135925i \(0.0434005\pi\)
\(744\) 0.591184 0.636796i 0.0216739 0.0233461i
\(745\) 11.3824 + 31.2729i 0.417019 + 1.14575i
\(746\) 0.416599 + 0.240524i 0.0152528 + 0.00880620i
\(747\) 12.1823 8.29605i 0.445729 0.303536i
\(748\) −30.0195 17.3318i −1.09762 0.633712i
\(749\) 3.96451 + 7.89919i 0.144860 + 0.288630i
\(750\) −0.141465 0.276124i −0.00516558 0.0100826i
\(751\) 10.9144 + 3.97250i 0.398270 + 0.144959i 0.533387 0.845871i \(-0.320919\pi\)
−0.135117 + 0.990830i \(0.543141\pi\)
\(752\) −6.19461 2.25465i −0.225894 0.0822188i
\(753\) 8.50688 20.1653i 0.310008 0.734865i
\(754\) −0.543712 0.0958710i −0.0198008 0.00349142i
\(755\) −31.4764 −1.14554
\(756\) 23.3233 + 14.5552i 0.848260 + 0.529369i
\(757\) 25.0813 0.911595 0.455798 0.890083i \(-0.349354\pi\)
0.455798 + 0.890083i \(0.349354\pi\)
\(758\) −0.126470 0.0223000i −0.00459358 0.000809972i
\(759\) −35.6764 47.1261i −1.29497 1.71057i
\(760\) −0.135576 0.0493457i −0.00491786 0.00178996i
\(761\) −24.4966 8.91602i −0.888000 0.323205i −0.142566 0.989785i \(-0.545535\pi\)
−0.745434 + 0.666580i \(0.767758\pi\)
\(762\) 0.0738707 0.114306i 0.00267605 0.00414086i
\(763\) −0.595223 + 10.1732i −0.0215485 + 0.368296i
\(764\) 17.0277 + 9.83096i 0.616041 + 0.355672i
\(765\) 10.8857 15.1236i 0.393572 0.546795i
\(766\) −0.157017 0.0906538i −0.00567325 0.00327545i
\(767\) −17.6636 48.5303i −0.637795 1.75233i
\(768\) −8.15218 26.4543i −0.294166 0.954589i
\(769\) 3.57920 9.83378i 0.129069 0.354615i −0.858279 0.513184i \(-0.828466\pi\)
0.987348 + 0.158569i \(0.0506880\pi\)
\(770\) 0.204911 0.217078i 0.00738448 0.00782295i
\(771\) −17.6342 + 18.9947i −0.635079 + 0.684078i
\(772\)