Properties

Label 171.2.x.a.110.1
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.1
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.02450 + 1.69876i) q^{2} +(1.43995 - 0.962572i) q^{3} +(0.865531 - 4.90867i) q^{4} +(-0.259455 + 0.712848i) q^{5} +(-1.28000 + 4.39486i) q^{6} +(-1.63029 - 2.82374i) q^{7} +(3.94358 + 6.83047i) q^{8} +(1.14691 - 2.77211i) q^{9} +O(q^{10})\) \(q+(-2.02450 + 1.69876i) q^{2} +(1.43995 - 0.962572i) q^{3} +(0.865531 - 4.90867i) q^{4} +(-0.259455 + 0.712848i) q^{5} +(-1.28000 + 4.39486i) q^{6} +(-1.63029 - 2.82374i) q^{7} +(3.94358 + 6.83047i) q^{8} +(1.14691 - 2.77211i) q^{9} +(-0.685689 - 1.88391i) q^{10} -6.35073i q^{11} +(-3.47862 - 7.90137i) q^{12} +(0.295627 + 0.812229i) q^{13} +(8.09738 + 2.94721i) q^{14} +(0.312564 + 1.27621i) q^{15} +(-10.2195 - 3.71960i) q^{16} +(-0.818892 + 2.24989i) q^{17} +(2.38722 + 7.56047i) q^{18} +(4.31029 + 0.649145i) q^{19} +(3.27457 + 1.89057i) q^{20} +(-5.06559 - 2.49678i) q^{21} +(10.7884 + 12.8571i) q^{22} +(0.245272 + 0.0432481i) q^{23} +(12.2534 + 6.03957i) q^{24} +(3.38939 + 2.84403i) q^{25} +(-1.97828 - 1.14216i) q^{26} +(-1.01686 - 5.09568i) q^{27} +(-15.2719 + 5.55851i) q^{28} +(-0.803768 + 4.55839i) q^{29} +(-2.80076 - 2.05272i) q^{30} -1.49225i q^{31} +(12.1851 - 4.43503i) q^{32} +(-6.11304 - 9.14474i) q^{33} +(-2.16417 - 5.94600i) q^{34} +(2.43589 - 0.429513i) q^{35} +(-12.6147 - 8.02916i) q^{36} -4.34331i q^{37} +(-9.82894 + 6.00795i) q^{38} +(1.20752 + 0.885007i) q^{39} +(-5.89227 + 1.03897i) q^{40} +(1.48330 - 1.24464i) q^{41} +(14.4967 - 3.55048i) q^{42} +(0.639011 + 3.62401i) q^{43} +(-31.1736 - 5.49675i) q^{44} +(1.67852 + 1.53681i) q^{45} +(-0.570023 + 0.329103i) q^{46} +(-7.25185 - 1.27870i) q^{47} +(-18.2960 + 4.48098i) q^{48} +(-1.81568 + 3.14486i) q^{49} -11.6931 q^{50} +(0.986514 + 4.02797i) q^{51} +(4.24284 - 0.748127i) q^{52} +(7.32359 + 6.14522i) q^{53} +(10.7150 + 8.58883i) q^{54} +(4.52711 + 1.64773i) q^{55} +(12.8583 - 22.2713i) q^{56} +(6.83145 - 3.21423i) q^{57} +(-6.11638 - 10.5939i) q^{58} +(-0.645657 - 3.66171i) q^{59} +(6.53502 - 0.429676i) q^{60} +(-5.85826 + 2.13223i) q^{61} +(2.53497 + 3.02106i) q^{62} +(-9.69752 + 1.28075i) q^{63} +(-6.25941 + 10.8416i) q^{64} -0.655698 q^{65} +(27.9106 + 8.12897i) q^{66} +(-1.22085 + 1.45495i) q^{67} +(10.3352 + 5.96701i) q^{68} +(0.394809 - 0.173817i) q^{69} +(-4.20182 + 5.00753i) q^{70} +(-0.638887 + 0.536090i) q^{71} +(23.4578 - 3.09807i) q^{72} +(1.84550 + 10.4663i) q^{73} +(7.37823 + 8.79303i) q^{74} +(7.61813 + 0.832739i) q^{75} +(6.91713 - 20.5959i) q^{76} +(-17.9328 + 10.3535i) q^{77} +(-3.94804 + 0.259582i) q^{78} +(-4.52777 + 12.4400i) q^{79} +(5.30302 - 6.31989i) q^{80} +(-6.36918 - 6.35873i) q^{81} +(-0.888607 + 5.03954i) q^{82} +(6.20911 - 3.58483i) q^{83} +(-16.6403 + 22.7043i) q^{84} +(-1.39136 - 1.16749i) q^{85} +(-7.45000 - 6.25129i) q^{86} +(3.23039 + 7.33754i) q^{87} +(43.3785 - 25.0446i) q^{88} +(2.93290 - 16.6333i) q^{89} +(-6.00884 - 0.259880i) q^{90} +(1.81157 - 2.15894i) q^{91} +(0.424581 - 1.16653i) q^{92} +(-1.43639 - 2.14876i) q^{93} +(16.8536 - 9.73042i) q^{94} +(-1.58107 + 2.90416i) q^{95} +(13.2770 - 18.1153i) q^{96} +(7.16659 + 8.54081i) q^{97} +(-1.66650 - 9.45118i) q^{98} +(-17.6049 - 7.28373i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.02450 + 1.69876i −1.43154 + 1.20120i −0.486743 + 0.873545i \(0.661815\pi\)
−0.944796 + 0.327659i \(0.893740\pi\)
\(3\) 1.43995 0.962572i 0.831356 0.555741i
\(4\) 0.865531 4.90867i 0.432765 2.45433i
\(5\) −0.259455 + 0.712848i −0.116032 + 0.318795i −0.984091 0.177666i \(-0.943145\pi\)
0.868059 + 0.496461i \(0.165368\pi\)
\(6\) −1.28000 + 4.39486i −0.522560 + 1.79419i
\(7\) −1.63029 2.82374i −0.616191 1.06727i −0.990174 0.139839i \(-0.955342\pi\)
0.373983 0.927436i \(-0.377992\pi\)
\(8\) 3.94358 + 6.83047i 1.39426 + 2.41494i
\(9\) 1.14691 2.77211i 0.382304 0.924037i
\(10\) −0.685689 1.88391i −0.216834 0.595746i
\(11\) 6.35073i 1.91482i −0.288734 0.957409i \(-0.593234\pi\)
0.288734 0.957409i \(-0.406766\pi\)
\(12\) −3.47862 7.90137i −1.00419 2.28093i
\(13\) 0.295627 + 0.812229i 0.0819923 + 0.225272i 0.973914 0.226918i \(-0.0728650\pi\)
−0.891922 + 0.452190i \(0.850643\pi\)
\(14\) 8.09738 + 2.94721i 2.16412 + 0.787674i
\(15\) 0.312564 + 1.27621i 0.0807038 + 0.329516i
\(16\) −10.2195 3.71960i −2.55488 0.929900i
\(17\) −0.818892 + 2.24989i −0.198610 + 0.545678i −0.998517 0.0544473i \(-0.982660\pi\)
0.799906 + 0.600125i \(0.204883\pi\)
\(18\) 2.38722 + 7.56047i 0.562673 + 1.78202i
\(19\) 4.31029 + 0.649145i 0.988849 + 0.148924i
\(20\) 3.27457 + 1.89057i 0.732216 + 0.422745i
\(21\) −5.06559 2.49678i −1.10540 0.544842i
\(22\) 10.7884 + 12.8571i 2.30009 + 2.74114i
\(23\) 0.245272 + 0.0432481i 0.0511428 + 0.00901786i 0.199161 0.979967i \(-0.436178\pi\)
−0.148018 + 0.988985i \(0.547289\pi\)
\(24\) 12.2534 + 6.03957i 2.50121 + 1.23282i
\(25\) 3.38939 + 2.84403i 0.677877 + 0.568807i
\(26\) −1.97828 1.14216i −0.387973 0.223996i
\(27\) −1.01686 5.09568i −0.195694 0.980665i
\(28\) −15.2719 + 5.55851i −2.88611 + 1.05046i
\(29\) −0.803768 + 4.55839i −0.149256 + 0.846473i 0.814595 + 0.580030i \(0.196959\pi\)
−0.963851 + 0.266442i \(0.914152\pi\)
\(30\) −2.80076 2.05272i −0.511347 0.374773i
\(31\) 1.49225i 0.268015i −0.990980 0.134008i \(-0.957215\pi\)
0.990980 0.134008i \(-0.0427847\pi\)
\(32\) 12.1851 4.43503i 2.15405 0.784009i
\(33\) −6.11304 9.14474i −1.06414 1.59189i
\(34\) −2.16417 5.94600i −0.371152 1.01973i
\(35\) 2.43589 0.429513i 0.411740 0.0726009i
\(36\) −12.6147 8.02916i −2.10245 1.33819i
\(37\) 4.34331i 0.714035i −0.934098 0.357017i \(-0.883794\pi\)
0.934098 0.357017i \(-0.116206\pi\)
\(38\) −9.82894 + 6.00795i −1.59446 + 0.974618i
\(39\) 1.20752 + 0.885007i 0.193358 + 0.141715i
\(40\) −5.89227 + 1.03897i −0.931650 + 0.164275i
\(41\) 1.48330 1.24464i 0.231653 0.194380i −0.519571 0.854427i \(-0.673908\pi\)
0.751224 + 0.660048i \(0.229464\pi\)
\(42\) 14.4967 3.55048i 2.23689 0.547851i
\(43\) 0.639011 + 3.62401i 0.0974482 + 0.552656i 0.993970 + 0.109656i \(0.0349749\pi\)
−0.896521 + 0.443000i \(0.853914\pi\)
\(44\) −31.1736 5.49675i −4.69960 0.828667i
\(45\) 1.67852 + 1.53681i 0.250219 + 0.229095i
\(46\) −0.570023 + 0.329103i −0.0840452 + 0.0485235i
\(47\) −7.25185 1.27870i −1.05779 0.186517i −0.382415 0.923991i \(-0.624907\pi\)
−0.675376 + 0.737474i \(0.736019\pi\)
\(48\) −18.2960 + 4.48098i −2.64080 + 0.646773i
\(49\) −1.81568 + 3.14486i −0.259383 + 0.449265i
\(50\) −11.6931 −1.65366
\(51\) 0.986514 + 4.02797i 0.138140 + 0.564028i
\(52\) 4.24284 0.748127i 0.588376 0.103747i
\(53\) 7.32359 + 6.14522i 1.00597 + 0.844111i 0.987801 0.155724i \(-0.0497710\pi\)
0.0181718 + 0.999835i \(0.494215\pi\)
\(54\) 10.7150 + 8.58883i 1.45812 + 1.16879i
\(55\) 4.52711 + 1.64773i 0.610435 + 0.222180i
\(56\) 12.8583 22.2713i 1.71827 2.97613i
\(57\) 6.83145 3.21423i 0.904848 0.425735i
\(58\) −6.11638 10.5939i −0.803121 1.39105i
\(59\) −0.645657 3.66171i −0.0840574 0.476713i −0.997556 0.0698715i \(-0.977741\pi\)
0.913499 0.406842i \(-0.133370\pi\)
\(60\) 6.53502 0.429676i 0.843668 0.0554709i
\(61\) −5.85826 + 2.13223i −0.750073 + 0.273004i −0.688636 0.725107i \(-0.741790\pi\)
−0.0614365 + 0.998111i \(0.519568\pi\)
\(62\) 2.53497 + 3.02106i 0.321941 + 0.383675i
\(63\) −9.69752 + 1.28075i −1.22177 + 0.161360i
\(64\) −6.25941 + 10.8416i −0.782426 + 1.35520i
\(65\) −0.655698 −0.0813293
\(66\) 27.9106 + 8.12897i 3.43555 + 1.00061i
\(67\) −1.22085 + 1.45495i −0.149151 + 0.177751i −0.835447 0.549571i \(-0.814791\pi\)
0.686296 + 0.727322i \(0.259235\pi\)
\(68\) 10.3352 + 5.96701i 1.25332 + 0.723607i
\(69\) 0.394809 0.173817i 0.0475295 0.0209251i
\(70\) −4.20182 + 5.00753i −0.502214 + 0.598515i
\(71\) −0.638887 + 0.536090i −0.0758220 + 0.0636222i −0.679911 0.733295i \(-0.737982\pi\)
0.604089 + 0.796917i \(0.293537\pi\)
\(72\) 23.4578 3.09807i 2.76452 0.365111i
\(73\) 1.84550 + 10.4663i 0.215999 + 1.22499i 0.879165 + 0.476518i \(0.158101\pi\)
−0.663166 + 0.748472i \(0.730788\pi\)
\(74\) 7.37823 + 8.79303i 0.857702 + 1.02217i
\(75\) 7.61813 + 0.832739i 0.879666 + 0.0961564i
\(76\) 6.91713 20.5959i 0.793449 2.36252i
\(77\) −17.9328 + 10.3535i −2.04364 + 1.17989i
\(78\) −3.94804 + 0.259582i −0.447027 + 0.0293919i
\(79\) −4.52777 + 12.4400i −0.509414 + 1.39960i 0.372429 + 0.928061i \(0.378525\pi\)
−0.881843 + 0.471543i \(0.843697\pi\)
\(80\) 5.30302 6.31989i 0.592895 0.706585i
\(81\) −6.36918 6.35873i −0.707687 0.706526i
\(82\) −0.888607 + 5.03954i −0.0981302 + 0.556524i
\(83\) 6.20911 3.58483i 0.681538 0.393486i −0.118896 0.992907i \(-0.537936\pi\)
0.800434 + 0.599420i \(0.204602\pi\)
\(84\) −16.6403 + 22.7043i −1.81560 + 2.47724i
\(85\) −1.39136 1.16749i −0.150914 0.126632i
\(86\) −7.45000 6.25129i −0.803354 0.674094i
\(87\) 3.23039 + 7.33754i 0.346335 + 0.786667i
\(88\) 43.3785 25.0446i 4.62417 2.66976i
\(89\) 2.93290 16.6333i 0.310886 1.76312i −0.283527 0.958964i \(-0.591504\pi\)
0.594413 0.804160i \(-0.297384\pi\)
\(90\) −6.00884 0.259880i −0.633388 0.0273938i
\(91\) 1.81157 2.15894i 0.189904 0.226319i
\(92\) 0.424581 1.16653i 0.0442657 0.121619i
\(93\) −1.43639 2.14876i −0.148947 0.222816i
\(94\) 16.8536 9.73042i 1.73831 1.00362i
\(95\) −1.58107 + 2.90416i −0.162214 + 0.297960i
\(96\) 13.2770 18.1153i 1.35507 1.84888i
\(97\) 7.16659 + 8.54081i 0.727657 + 0.867188i 0.995351 0.0963164i \(-0.0307061\pi\)
−0.267694 + 0.963504i \(0.586262\pi\)
\(98\) −1.66650 9.45118i −0.168342 0.954713i
\(99\) −17.6049 7.28373i −1.76936 0.732043i
\(100\) 16.8940 14.1758i 1.68940 1.41758i
\(101\) 3.47382 4.13993i 0.345658 0.411939i −0.565006 0.825087i \(-0.691126\pi\)
0.910664 + 0.413148i \(0.135571\pi\)
\(102\) −8.83974 6.47878i −0.875265 0.641495i
\(103\) 10.1146 + 5.83968i 0.996623 + 0.575401i 0.907247 0.420597i \(-0.138179\pi\)
0.0893757 + 0.995998i \(0.471513\pi\)
\(104\) −4.38208 + 5.22236i −0.429698 + 0.512095i
\(105\) 3.09412 2.96319i 0.301955 0.289178i
\(106\) −25.2659 −2.45404
\(107\) −4.78301 + 8.28441i −0.462391 + 0.800884i −0.999080 0.0428960i \(-0.986342\pi\)
0.536689 + 0.843780i \(0.319675\pi\)
\(108\) −25.8931 + 0.580945i −2.49157 + 0.0559015i
\(109\) −3.37261 4.01931i −0.323037 0.384980i 0.579947 0.814654i \(-0.303073\pi\)
−0.902984 + 0.429673i \(0.858629\pi\)
\(110\) −11.9642 + 4.35463i −1.14075 + 0.415197i
\(111\) −4.18074 6.25414i −0.396818 0.593617i
\(112\) 6.15757 + 34.9213i 0.581835 + 3.29975i
\(113\) 4.97218 + 8.61206i 0.467743 + 0.810155i 0.999321 0.0368549i \(-0.0117339\pi\)
−0.531578 + 0.847010i \(0.678401\pi\)
\(114\) −8.37009 + 18.1122i −0.783931 + 1.69636i
\(115\) −0.0944666 + 0.163621i −0.00880905 + 0.0152577i
\(116\) 21.6800 + 7.89086i 2.01293 + 0.732648i
\(117\) 2.59065 + 0.112044i 0.239505 + 0.0103585i
\(118\) 7.52749 + 6.31631i 0.692962 + 0.581464i
\(119\) 7.68813 1.35563i 0.704770 0.124270i
\(120\) −7.48450 + 7.16779i −0.683238 + 0.654327i
\(121\) −29.3318 −2.66653
\(122\) 8.23791 14.2685i 0.745825 1.29181i
\(123\) 0.937826 3.22000i 0.0845610 0.290337i
\(124\) −7.32494 1.29158i −0.657799 0.115988i
\(125\) −6.19158 + 3.57471i −0.553792 + 0.319732i
\(126\) 17.4570 19.0666i 1.55519 1.69859i
\(127\) 11.0562 + 1.94951i 0.981082 + 0.172991i 0.641114 0.767446i \(-0.278473\pi\)
0.339968 + 0.940437i \(0.389584\pi\)
\(128\) −1.24166 7.04181i −0.109748 0.622414i
\(129\) 4.40851 + 4.60330i 0.388148 + 0.405298i
\(130\) 1.32746 1.11387i 0.116426 0.0976931i
\(131\) 13.6658 2.40966i 1.19399 0.210533i 0.458891 0.888493i \(-0.348247\pi\)
0.735099 + 0.677960i \(0.237136\pi\)
\(132\) −50.1795 + 22.0918i −4.36757 + 1.92285i
\(133\) −5.19400 13.2294i −0.450377 1.14714i
\(134\) 5.01949i 0.433618i
\(135\) 3.89628 + 0.597238i 0.335338 + 0.0514021i
\(136\) −18.5972 + 3.27918i −1.59469 + 0.281187i
\(137\) 0.340121 + 0.934475i 0.0290585 + 0.0798376i 0.953374 0.301793i \(-0.0975850\pi\)
−0.924315 + 0.381630i \(0.875363\pi\)
\(138\) −0.504019 + 1.02258i −0.0429050 + 0.0870477i
\(139\) 9.56750 3.48228i 0.811504 0.295363i 0.0972593 0.995259i \(-0.468992\pi\)
0.714245 + 0.699896i \(0.246770\pi\)
\(140\) 12.3287i 1.04197i
\(141\) −11.6731 + 5.13916i −0.983055 + 0.432796i
\(142\) 0.382741 2.17063i 0.0321189 0.182155i
\(143\) 5.15825 1.87745i 0.431355 0.157000i
\(144\) −22.0320 + 24.0636i −1.83600 + 2.00530i
\(145\) −3.04090 1.75566i −0.252533 0.145800i
\(146\) −21.5160 18.0540i −1.78067 1.49416i
\(147\) 0.412655 + 6.27616i 0.0340352 + 0.517649i
\(148\) −21.3198 3.75926i −1.75248 0.309010i
\(149\) 13.5782 + 16.1819i 1.11237 + 1.32567i 0.940207 + 0.340604i \(0.110632\pi\)
0.172164 + 0.985068i \(0.444924\pi\)
\(150\) −16.8376 + 11.2555i −1.37478 + 0.919007i
\(151\) 6.03093 + 3.48196i 0.490790 + 0.283358i 0.724902 0.688852i \(-0.241885\pi\)
−0.234112 + 0.972210i \(0.575218\pi\)
\(152\) 12.5640 + 32.0013i 1.01907 + 2.59565i
\(153\) 5.29774 + 4.85048i 0.428297 + 0.392138i
\(154\) 18.7169 51.4243i 1.50825 4.14389i
\(155\) 1.06374 + 0.387172i 0.0854421 + 0.0310984i
\(156\) 5.38935 5.16130i 0.431493 0.413235i
\(157\) −14.8903 5.41962i −1.18837 0.432533i −0.329221 0.944253i \(-0.606786\pi\)
−0.859152 + 0.511720i \(0.829008\pi\)
\(158\) −11.9660 32.8763i −0.951964 2.61550i
\(159\) 16.4608 + 1.79933i 1.30543 + 0.142696i
\(160\) 9.83684i 0.777670i
\(161\) −0.277743 0.763093i −0.0218892 0.0601402i
\(162\) 23.6964 + 2.05356i 1.86176 + 0.161343i
\(163\) 0.484740 + 0.839594i 0.0379678 + 0.0657621i 0.884385 0.466758i \(-0.154578\pi\)
−0.846417 + 0.532521i \(0.821245\pi\)
\(164\) −4.82567 8.35830i −0.376821 0.652673i
\(165\) 8.10487 1.98501i 0.630963 0.154533i
\(166\) −6.48059 + 17.8053i −0.502991 + 1.38196i
\(167\) 1.36206 7.72464i 0.105400 0.597751i −0.885660 0.464334i \(-0.846294\pi\)
0.991060 0.133417i \(-0.0425950\pi\)
\(168\) −2.92235 44.4466i −0.225464 3.42913i
\(169\) 9.38626 7.87600i 0.722020 0.605847i
\(170\) 4.80010 0.368151
\(171\) 6.74303 11.2041i 0.515652 0.856798i
\(172\) 18.3421 1.39857
\(173\) 2.32775 1.95321i 0.176975 0.148500i −0.549997 0.835167i \(-0.685371\pi\)
0.726973 + 0.686667i \(0.240927\pi\)
\(174\) −19.0047 9.36721i −1.44074 0.710126i
\(175\) 2.50514 14.2074i 0.189371 1.07398i
\(176\) −23.6222 + 64.9014i −1.78059 + 4.89213i
\(177\) −4.45437 4.65118i −0.334811 0.349604i
\(178\) 22.3183 + 38.6564i 1.67283 + 2.89742i
\(179\) −1.02579 1.77672i −0.0766712 0.132798i 0.825141 0.564927i \(-0.191096\pi\)
−0.901812 + 0.432129i \(0.857763\pi\)
\(180\) 8.99652 6.90914i 0.670561 0.514977i
\(181\) −0.313953 0.862578i −0.0233359 0.0641149i 0.927478 0.373879i \(-0.121972\pi\)
−0.950814 + 0.309764i \(0.899750\pi\)
\(182\) 7.44821i 0.552098i
\(183\) −6.38317 + 8.70930i −0.471858 + 0.643810i
\(184\) 0.671845 + 1.84588i 0.0495291 + 0.136080i
\(185\) 3.09612 + 1.12689i 0.227631 + 0.0828509i
\(186\) 6.55821 + 1.91008i 0.480871 + 0.140054i
\(187\) 14.2884 + 5.20056i 1.04487 + 0.380303i
\(188\) −12.5534 + 34.4902i −0.915550 + 2.51545i
\(189\) −12.7311 + 11.1788i −0.926054 + 0.813137i
\(190\) −1.73258 8.56533i −0.125695 0.621395i
\(191\) 13.9129 + 8.03263i 1.00670 + 0.581221i 0.910225 0.414114i \(-0.135908\pi\)
0.0964794 + 0.995335i \(0.469242\pi\)
\(192\) 1.42259 + 21.6365i 0.102667 + 1.56148i
\(193\) −11.8242 14.0915i −0.851122 1.01433i −0.999677 0.0254233i \(-0.991907\pi\)
0.148555 0.988904i \(-0.452538\pi\)
\(194\) −29.0175 5.11658i −2.08334 0.367349i
\(195\) −0.944172 + 0.631156i −0.0676136 + 0.0451980i
\(196\) 13.8655 + 11.6346i 0.990394 + 0.831040i
\(197\) −5.05018 2.91572i −0.359810 0.207736i 0.309187 0.951001i \(-0.399943\pi\)
−0.668997 + 0.743265i \(0.733276\pi\)
\(198\) 48.0145 15.1606i 3.41224 1.07742i
\(199\) −17.1618 + 6.24637i −1.21656 + 0.442793i −0.868976 0.494854i \(-0.835222\pi\)
−0.347588 + 0.937647i \(0.612999\pi\)
\(200\) −6.05979 + 34.3668i −0.428492 + 2.43010i
\(201\) −0.357468 + 3.27022i −0.0252138 + 0.230663i
\(202\) 14.2825i 1.00491i
\(203\) 14.1821 5.16186i 0.995389 0.362292i
\(204\) 20.6258 1.35614i 1.44410 0.0949488i
\(205\) 0.502386 + 1.38030i 0.0350882 + 0.0964040i
\(206\) −30.3973 + 5.35986i −2.11788 + 0.373439i
\(207\) 0.401194 0.630320i 0.0278849 0.0438103i
\(208\) 9.40020i 0.651787i
\(209\) 4.12255 27.3735i 0.285163 1.89347i
\(210\) −1.23030 + 11.2552i −0.0848989 + 0.776679i
\(211\) −14.1345 + 2.49230i −0.973062 + 0.171577i −0.637508 0.770444i \(-0.720035\pi\)
−0.335554 + 0.942021i \(0.608924\pi\)
\(212\) 36.5036 30.6302i 2.50708 2.10369i
\(213\) −0.403941 + 1.38692i −0.0276776 + 0.0950300i
\(214\) −4.39001 24.8970i −0.300095 1.70192i
\(215\) −2.74916 0.484751i −0.187491 0.0330598i
\(216\) 30.7959 27.0408i 2.09539 1.83990i
\(217\) −4.21372 + 2.43279i −0.286046 + 0.165149i
\(218\) 13.6557 + 2.40787i 0.924880 + 0.163081i
\(219\) 12.7320 + 13.2946i 0.860349 + 0.898363i
\(220\) 12.0065 20.7959i 0.809480 1.40206i
\(221\) −2.06951 −0.139210
\(222\) 19.0882 + 5.55945i 1.28112 + 0.373126i
\(223\) −1.01457 + 0.178897i −0.0679408 + 0.0119798i −0.207515 0.978232i \(-0.566538\pi\)
0.139574 + 0.990212i \(0.455427\pi\)
\(224\) −32.3887 27.1773i −2.16406 1.81586i
\(225\) 11.7713 6.13390i 0.784753 0.408926i
\(226\) −24.6960 8.98861i −1.64275 0.597913i
\(227\) −4.99016 + 8.64322i −0.331209 + 0.573671i −0.982749 0.184943i \(-0.940790\pi\)
0.651540 + 0.758614i \(0.274123\pi\)
\(228\) −9.86474 36.3153i −0.653308 2.40504i
\(229\) 2.44218 + 4.22998i 0.161384 + 0.279525i 0.935365 0.353683i \(-0.115071\pi\)
−0.773981 + 0.633208i \(0.781738\pi\)
\(230\) −0.0867047 0.491727i −0.00571714 0.0324235i
\(231\) −15.8564 + 32.1702i −1.04327 + 2.11664i
\(232\) −34.3057 + 12.4863i −2.25228 + 0.819763i
\(233\) −7.69052 9.16520i −0.503823 0.600432i 0.452854 0.891585i \(-0.350406\pi\)
−0.956677 + 0.291152i \(0.905961\pi\)
\(234\) −5.43511 + 4.17405i −0.355304 + 0.272866i
\(235\) 2.79305 4.83770i 0.182198 0.315577i
\(236\) −18.5329 −1.20639
\(237\) 5.45458 + 22.2712i 0.354313 + 1.44667i
\(238\) −13.2618 + 15.8048i −0.859632 + 1.02447i
\(239\) −2.92222 1.68714i −0.189023 0.109132i 0.402502 0.915419i \(-0.368141\pi\)
−0.591525 + 0.806287i \(0.701474\pi\)
\(240\) 1.55273 14.2049i 0.100229 0.916920i
\(241\) −9.95753 + 11.8669i −0.641421 + 0.764416i −0.984594 0.174857i \(-0.944054\pi\)
0.343173 + 0.939272i \(0.388498\pi\)
\(242\) 59.3823 49.8277i 3.81724 3.20305i
\(243\) −15.2920 3.02546i −0.980985 0.194083i
\(244\) 5.39591 + 30.6017i 0.345438 + 1.95908i
\(245\) −1.77072 2.11026i −0.113127 0.134819i
\(246\) 3.57137 + 8.11203i 0.227702 + 0.517204i
\(247\) 0.746985 + 3.69285i 0.0475295 + 0.234970i
\(248\) 10.1927 5.88479i 0.647240 0.373684i
\(249\) 5.49015 11.1387i 0.347924 0.705886i
\(250\) 6.46230 17.7550i 0.408711 1.12293i
\(251\) −3.39453 + 4.04544i −0.214261 + 0.255346i −0.862461 0.506124i \(-0.831078\pi\)
0.648200 + 0.761470i \(0.275522\pi\)
\(252\) −2.10671 + 48.7105i −0.132710 + 3.06847i
\(253\) 0.274657 1.55766i 0.0172676 0.0979292i
\(254\) −25.6951 + 14.8351i −1.61226 + 0.930836i
\(255\) −3.12728 0.341844i −0.195838 0.0214071i
\(256\) −4.70385 3.94700i −0.293991 0.246688i
\(257\) −12.6067 10.5783i −0.786385 0.659855i 0.158463 0.987365i \(-0.449346\pi\)
−0.944848 + 0.327510i \(0.893791\pi\)
\(258\) −16.7449 1.83039i −1.04249 0.113955i
\(259\) −12.2644 + 7.08084i −0.762071 + 0.439982i
\(260\) −0.567527 + 3.21860i −0.0351965 + 0.199609i
\(261\) 11.7145 + 7.45621i 0.725110 + 0.461528i
\(262\) −23.5731 + 28.0933i −1.45635 + 1.73561i
\(263\) 1.66589 4.57700i 0.102723 0.282230i −0.877675 0.479257i \(-0.840906\pi\)
0.980398 + 0.197027i \(0.0631286\pi\)
\(264\) 38.3557 77.8179i 2.36063 4.78936i
\(265\) −6.28075 + 3.62620i −0.385824 + 0.222755i
\(266\) 32.9889 + 17.9597i 2.02268 + 1.10118i
\(267\) −11.7875 26.7742i −0.721383 1.63856i
\(268\) 6.08520 + 7.25206i 0.371713 + 0.442990i
\(269\) 1.18246 + 6.70608i 0.0720960 + 0.408877i 0.999402 + 0.0345732i \(0.0110072\pi\)
−0.927306 + 0.374304i \(0.877882\pi\)
\(270\) −8.90259 + 5.40973i −0.541794 + 0.329226i
\(271\) 11.0962 9.31080i 0.674045 0.565591i −0.240215 0.970720i \(-0.577218\pi\)
0.914260 + 0.405129i \(0.132773\pi\)
\(272\) 16.7374 19.9468i 1.01485 1.20945i
\(273\) 0.530431 4.85254i 0.0321031 0.293689i
\(274\) −2.27602 1.31406i −0.137500 0.0793855i
\(275\) 18.0617 21.5251i 1.08916 1.29801i
\(276\) −0.511490 2.08843i −0.0307881 0.125709i
\(277\) −8.60584 −0.517075 −0.258537 0.966001i \(-0.583240\pi\)
−0.258537 + 0.966001i \(0.583240\pi\)
\(278\) −13.4539 + 23.3028i −0.806909 + 1.39761i
\(279\) −4.13667 1.71148i −0.247656 0.102463i
\(280\) 12.5399 + 14.9444i 0.749401 + 0.893101i
\(281\) −18.1948 + 6.62238i −1.08541 + 0.395058i −0.821920 0.569603i \(-0.807097\pi\)
−0.263494 + 0.964661i \(0.584875\pi\)
\(282\) 14.9021 30.2341i 0.887406 1.80041i
\(283\) 1.28701 + 7.29900i 0.0765049 + 0.433881i 0.998868 + 0.0475578i \(0.0151438\pi\)
−0.922364 + 0.386323i \(0.873745\pi\)
\(284\) 2.07851 + 3.60009i 0.123337 + 0.213626i
\(285\) 0.518797 + 5.70374i 0.0307309 + 0.337860i
\(286\) −7.25356 + 12.5635i −0.428912 + 0.742897i
\(287\) −5.93274 2.15934i −0.350199 0.127462i
\(288\) 1.68090 38.8651i 0.0990480 2.29015i
\(289\) 8.63135 + 7.24256i 0.507726 + 0.426033i
\(290\) 9.13876 1.61141i 0.536646 0.0946253i
\(291\) 18.5407 + 5.39998i 1.08687 + 0.316553i
\(292\) 52.9730 3.10001
\(293\) −9.18804 + 15.9142i −0.536771 + 0.929715i 0.462304 + 0.886721i \(0.347023\pi\)
−0.999075 + 0.0429933i \(0.986311\pi\)
\(294\) −11.4971 12.0051i −0.670525 0.700152i
\(295\) 2.77776 + 0.489794i 0.161727 + 0.0285169i
\(296\) 29.6668 17.1282i 1.72435 0.995554i
\(297\) −32.3613 + 6.45779i −1.87780 + 0.374719i
\(298\) −54.9783 9.69415i −3.18481 0.561567i
\(299\) 0.0373818 + 0.212003i 0.00216184 + 0.0122604i
\(300\) 10.6814 36.6741i 0.616689 2.11738i
\(301\) 9.19150 7.71258i 0.529789 0.444546i
\(302\) −18.1246 + 3.19586i −1.04296 + 0.183901i
\(303\) 1.01714 9.30510i 0.0584332 0.534564i
\(304\) −41.6345 22.6665i −2.38790 1.30001i
\(305\) 4.72927i 0.270797i
\(306\) −18.9651 0.820232i −1.08416 0.0468895i
\(307\) −3.93086 + 0.693117i −0.224346 + 0.0395583i −0.284691 0.958619i \(-0.591891\pi\)
0.0603450 + 0.998178i \(0.480780\pi\)
\(308\) 35.3006 + 96.9877i 2.01144 + 5.52638i
\(309\) 20.1857 1.32720i 1.14832 0.0755017i
\(310\) −2.81127 + 1.02322i −0.159669 + 0.0581148i
\(311\) 24.4621i 1.38712i −0.720400 0.693558i \(-0.756042\pi\)
0.720400 0.693558i \(-0.243958\pi\)
\(312\) −1.28308 + 11.7380i −0.0726402 + 0.664534i
\(313\) 5.30576 30.0904i 0.299899 1.70081i −0.346695 0.937978i \(-0.612696\pi\)
0.646594 0.762835i \(-0.276193\pi\)
\(314\) 39.3520 14.3230i 2.22076 0.808292i
\(315\) 1.60309 7.24516i 0.0903240 0.408218i
\(316\) 57.1447 + 32.9925i 3.21464 + 1.85597i
\(317\) 24.5343 + 20.5867i 1.37798 + 1.15627i 0.969951 + 0.243299i \(0.0782298\pi\)
0.408033 + 0.912967i \(0.366215\pi\)
\(318\) −36.3816 + 24.3202i −2.04018 + 1.36381i
\(319\) 28.9491 + 5.10452i 1.62084 + 0.285798i
\(320\) −6.10439 7.27493i −0.341246 0.406681i
\(321\) 1.08705 + 16.5331i 0.0606731 + 0.922789i
\(322\) 1.85860 + 1.07306i 0.103576 + 0.0597996i
\(323\) −4.99017 + 9.16609i −0.277660 + 0.510015i
\(324\) −36.7256 + 25.7605i −2.04031 + 1.43114i
\(325\) −1.30801 + 3.59373i −0.0725554 + 0.199344i
\(326\) −2.40763 0.876304i −0.133346 0.0485340i
\(327\) −8.72526 2.54124i −0.482508 0.140531i
\(328\) 14.3510 + 5.22332i 0.792399 + 0.288410i
\(329\) 8.21190 + 22.5620i 0.452736 + 1.24388i
\(330\) −13.0363 + 17.7869i −0.717623 + 0.979136i
\(331\) 19.2433i 1.05771i 0.848714 + 0.528853i \(0.177378\pi\)
−0.848714 + 0.528853i \(0.822622\pi\)
\(332\) −12.2226 33.5812i −0.670801 1.84301i
\(333\) −12.0401 4.98139i −0.659794 0.272978i
\(334\) 10.3648 + 17.9524i 0.567137 + 0.982310i
\(335\) −0.720404 1.24778i −0.0393599 0.0681733i
\(336\) 42.4808 + 44.3578i 2.31752 + 2.41992i
\(337\) 7.91681 21.7513i 0.431256 1.18487i −0.513786 0.857918i \(-0.671758\pi\)
0.945042 0.326948i \(-0.106020\pi\)
\(338\) −5.62306 + 31.8900i −0.305854 + 1.73459i
\(339\) 15.4494 + 7.61486i 0.839097 + 0.413583i
\(340\) −6.93509 + 5.81923i −0.376108 + 0.315592i
\(341\) −9.47686 −0.513201
\(342\) 5.38177 + 34.1375i 0.291013 + 1.84594i
\(343\) −10.9837 −0.593064
\(344\) −22.2337 + 18.6563i −1.19876 + 1.00588i
\(345\) 0.0214697 + 0.326537i 0.00115589 + 0.0175802i
\(346\) −1.39449 + 7.90857i −0.0749685 + 0.425167i
\(347\) 2.77917 7.63571i 0.149194 0.409906i −0.842473 0.538739i \(-0.818901\pi\)
0.991666 + 0.128833i \(0.0411231\pi\)
\(348\) 38.8136 9.50607i 2.08063 0.509579i
\(349\) 7.87884 + 13.6465i 0.421744 + 0.730483i 0.996110 0.0881160i \(-0.0280846\pi\)
−0.574366 + 0.818599i \(0.694751\pi\)
\(350\) 19.0632 + 33.0184i 1.01897 + 1.76491i
\(351\) 3.83825 2.33234i 0.204871 0.124491i
\(352\) −28.1657 77.3845i −1.50124 4.12461i
\(353\) 17.1465i 0.912616i −0.889822 0.456308i \(-0.849172\pi\)
0.889822 0.456308i \(-0.150828\pi\)
\(354\) 16.9191 + 1.84943i 0.899241 + 0.0982961i
\(355\) −0.216388 0.594521i −0.0114847 0.0315539i
\(356\) −79.1087 28.7932i −4.19275 1.52604i
\(357\) 9.76564 9.35241i 0.516852 0.494982i
\(358\) 5.09494 + 1.85441i 0.269276 + 0.0980084i
\(359\) −1.18280 + 3.24973i −0.0624260 + 0.171514i −0.966984 0.254836i \(-0.917979\pi\)
0.904558 + 0.426350i \(0.140201\pi\)
\(360\) −3.87779 + 17.5256i −0.204377 + 0.923682i
\(361\) 18.1572 + 5.59601i 0.955643 + 0.294527i
\(362\) 2.10091 + 1.21296i 0.110421 + 0.0637518i
\(363\) −42.2364 + 28.2340i −2.21683 + 1.48190i
\(364\) −9.02957 10.7610i −0.473278 0.564031i
\(365\) −7.93972 1.39999i −0.415584 0.0732787i
\(366\) −1.87225 28.4755i −0.0978642 1.48844i
\(367\) −24.4511 20.5169i −1.27634 1.07097i −0.993738 0.111733i \(-0.964360\pi\)
−0.282597 0.959239i \(-0.591196\pi\)
\(368\) −2.34570 1.35429i −0.122278 0.0705972i
\(369\) −1.74905 5.53936i −0.0910521 0.288368i
\(370\) −8.18242 + 2.97816i −0.425384 + 0.154827i
\(371\) 5.41296 30.6984i 0.281027 1.59378i
\(372\) −11.7908 + 5.19096i −0.611324 + 0.269139i
\(373\) 10.7974i 0.559066i −0.960136 0.279533i \(-0.909820\pi\)
0.960136 0.279533i \(-0.0901796\pi\)
\(374\) −37.7615 + 13.7441i −1.95260 + 0.710688i
\(375\) −5.47465 + 11.1072i −0.282710 + 0.573576i
\(376\) −19.8641 54.5762i −1.02441 2.81455i
\(377\) −3.94008 + 0.694742i −0.202924 + 0.0357810i
\(378\) 6.78415 44.2586i 0.348939 2.27642i
\(379\) 32.4777i 1.66827i −0.551561 0.834135i \(-0.685967\pi\)
0.551561 0.834135i \(-0.314033\pi\)
\(380\) 12.8871 + 10.2746i 0.661093 + 0.527075i
\(381\) 17.7970 7.83521i 0.911766 0.401410i
\(382\) −41.8123 + 7.37263i −2.13930 + 0.377217i
\(383\) −21.1197 + 17.7215i −1.07917 + 0.905527i −0.995851 0.0909961i \(-0.970995\pi\)
−0.0833141 + 0.996523i \(0.526550\pi\)
\(384\) −8.56618 8.94467i −0.437141 0.456456i
\(385\) −2.72772 15.4697i −0.139018 0.788407i
\(386\) 47.8761 + 8.44185i 2.43683 + 0.429679i
\(387\) 10.7790 + 2.38501i 0.547929 + 0.121237i
\(388\) 48.1269 27.7861i 2.44327 1.41062i
\(389\) 25.1845 + 4.44070i 1.27690 + 0.225152i 0.770664 0.637241i \(-0.219924\pi\)
0.506238 + 0.862394i \(0.331036\pi\)
\(390\) 0.839297 2.88170i 0.0424994 0.145920i
\(391\) −0.298155 + 0.516419i −0.0150783 + 0.0261165i
\(392\) −28.6411 −1.44660
\(393\) 17.3587 16.6241i 0.875628 0.838576i
\(394\) 15.1772 2.67615i 0.764616 0.134822i
\(395\) −7.69304 6.45523i −0.387079 0.324798i
\(396\) −50.9910 + 80.1125i −2.56240 + 4.02580i
\(397\) −25.5350 9.29398i −1.28156 0.466451i −0.390615 0.920554i \(-0.627738\pi\)
−0.890949 + 0.454103i \(0.849960\pi\)
\(398\) 24.1329 41.7995i 1.20967 2.09522i
\(399\) −20.2134 14.0501i −1.01194 0.703387i
\(400\) −24.0592 41.6718i −1.20296 2.08359i
\(401\) 4.53233 + 25.7041i 0.226334 + 1.28360i 0.860119 + 0.510094i \(0.170389\pi\)
−0.633785 + 0.773510i \(0.718499\pi\)
\(402\) −4.83162 7.22781i −0.240979 0.360491i
\(403\) 1.21205 0.441149i 0.0603763 0.0219752i
\(404\) −17.3149 20.6351i −0.861447 1.02663i
\(405\) 6.18533 2.89045i 0.307352 0.143628i
\(406\) −19.9429 + 34.5422i −0.989752 + 1.71430i
\(407\) −27.5832 −1.36725
\(408\) −23.6225 + 22.6229i −1.16949 + 1.12000i
\(409\) 0.00239955 0.00285967i 0.000118650 0.000141402i −0.765985 0.642858i \(-0.777748\pi\)
0.766104 + 0.642717i \(0.222193\pi\)
\(410\) −3.36187 1.94098i −0.166031 0.0958581i
\(411\) 1.38926 + 1.01821i 0.0685270 + 0.0502244i
\(412\) 37.4196 44.5949i 1.84353 2.19703i
\(413\) −9.28711 + 7.79281i −0.456989 + 0.383459i
\(414\) 0.258543 + 1.95762i 0.0127067 + 0.0962116i
\(415\) 0.944452 + 5.35625i 0.0463613 + 0.262928i
\(416\) 7.20451 + 8.58601i 0.353230 + 0.420964i
\(417\) 10.4248 14.2237i 0.510503 0.696538i
\(418\) 38.1549 + 62.4210i 1.86622 + 3.05311i
\(419\) 0.544792 0.314536i 0.0266148 0.0153661i −0.486634 0.873606i \(-0.661775\pi\)
0.513248 + 0.858240i \(0.328442\pi\)
\(420\) −11.8673 17.7527i −0.579064 0.866245i
\(421\) −2.69819 + 7.41322i −0.131502 + 0.361298i −0.987916 0.154992i \(-0.950465\pi\)
0.856414 + 0.516290i \(0.172687\pi\)
\(422\) 24.3816 29.0569i 1.18688 1.41447i
\(423\) −11.8619 + 18.6364i −0.576746 + 0.906131i
\(424\) −13.0936 + 74.2577i −0.635883 + 3.60627i
\(425\) −9.17429 + 5.29678i −0.445019 + 0.256932i
\(426\) −1.53826 3.49402i −0.0745289 0.169286i
\(427\) 15.5715 + 13.0661i 0.753559 + 0.632311i
\(428\) 36.5256 + 30.6486i 1.76553 + 1.48146i
\(429\) 5.62045 7.66862i 0.271358 0.370245i
\(430\) 6.38916 3.68878i 0.308113 0.177889i
\(431\) 0.183471 1.04051i 0.00883747 0.0501198i −0.980070 0.198652i \(-0.936344\pi\)
0.988908 + 0.148532i \(0.0474548\pi\)
\(432\) −8.56211 + 55.8577i −0.411945 + 2.68746i
\(433\) 9.40407 11.2073i 0.451931 0.538590i −0.491185 0.871055i \(-0.663436\pi\)
0.943115 + 0.332465i \(0.107880\pi\)
\(434\) 4.39796 12.0833i 0.211109 0.580017i
\(435\) −6.06870 + 0.399015i −0.290972 + 0.0191313i
\(436\) −22.6486 + 13.0762i −1.08467 + 0.626234i
\(437\) 1.02912 + 0.345629i 0.0492295 + 0.0165337i
\(438\) −48.3602 5.28626i −2.31074 0.252587i
\(439\) −17.5017 20.8577i −0.835312 0.995485i −0.999958 0.00913290i \(-0.997093\pi\)
0.164647 0.986353i \(-0.447352\pi\)
\(440\) 6.59820 + 37.4202i 0.314557 + 1.78394i
\(441\) 6.63546 + 8.64015i 0.315974 + 0.411436i
\(442\) 4.18973 3.51560i 0.199285 0.167220i
\(443\) −17.8818 + 21.3107i −0.849590 + 1.01250i 0.150126 + 0.988667i \(0.452032\pi\)
−0.999716 + 0.0238348i \(0.992412\pi\)
\(444\) −34.3181 + 15.1087i −1.62866 + 0.717028i
\(445\) 11.0960 + 6.40630i 0.526003 + 0.303688i
\(446\) 1.75010 2.08569i 0.0828698 0.0987604i
\(447\) 35.1282 + 10.2311i 1.66151 + 0.483915i
\(448\) 40.8186 1.92850
\(449\) −5.56243 + 9.63441i −0.262507 + 0.454676i −0.966908 0.255127i \(-0.917883\pi\)
0.704400 + 0.709803i \(0.251216\pi\)
\(450\) −13.4110 + 32.4147i −0.632201 + 1.52804i
\(451\) −7.90436 9.42005i −0.372202 0.443573i
\(452\) 46.5773 16.9528i 2.19081 0.797391i
\(453\) 12.0359 0.791354i 0.565495 0.0371811i
\(454\) −4.58015 25.9753i −0.214957 1.21908i
\(455\) 1.06898 + 1.85152i 0.0501144 + 0.0868007i
\(456\) 48.8950 + 33.9865i 2.28972 + 1.59156i
\(457\) −0.723233 + 1.25268i −0.0338314 + 0.0585978i −0.882445 0.470415i \(-0.844104\pi\)
0.848614 + 0.529013i \(0.177438\pi\)
\(458\) −12.1299 4.41493i −0.566794 0.206296i
\(459\) 12.2974 + 1.88500i 0.573994 + 0.0879843i
\(460\) 0.721397 + 0.605324i 0.0336353 + 0.0282234i
\(461\) −19.2844 + 3.40036i −0.898163 + 0.158370i −0.603624 0.797269i \(-0.706277\pi\)
−0.294539 + 0.955639i \(0.595166\pi\)
\(462\) −22.5482 92.0648i −1.04904 4.28324i
\(463\) −0.421291 −0.0195791 −0.00978954 0.999952i \(-0.503116\pi\)
−0.00978954 + 0.999952i \(0.503116\pi\)
\(464\) 25.1695 43.5949i 1.16847 2.02384i
\(465\) 1.90442 0.466423i 0.0883154 0.0216298i
\(466\) 31.1389 + 5.49064i 1.44248 + 0.254349i
\(467\) −11.4110 + 6.58813i −0.528037 + 0.304862i −0.740217 0.672368i \(-0.765277\pi\)
0.212180 + 0.977231i \(0.431944\pi\)
\(468\) 2.79227 12.6196i 0.129073 0.583343i
\(469\) 6.09876 + 1.07538i 0.281614 + 0.0496562i
\(470\) 2.56356 + 14.5387i 0.118248 + 0.670618i
\(471\) −26.6580 + 6.52898i −1.22834 + 0.300839i
\(472\) 22.4650 18.8504i 1.03403 0.867658i
\(473\) 23.0151 4.05819i 1.05824 0.186596i
\(474\) −48.8762 35.8221i −2.24496 1.64536i
\(475\) 12.7631 + 14.4588i 0.585609 + 0.663416i
\(476\) 38.9118i 1.78352i
\(477\) 25.4347 13.2538i 1.16458 0.606848i
\(478\) 8.78209 1.54852i 0.401683 0.0708276i
\(479\) −5.50056 15.1127i −0.251327 0.690516i −0.999631 0.0271598i \(-0.991354\pi\)
0.748304 0.663356i \(-0.230869\pi\)
\(480\) 9.46866 + 14.1646i 0.432183 + 0.646521i
\(481\) 3.52776 1.28400i 0.160852 0.0585453i
\(482\) 40.9401i 1.86477i
\(483\) −1.13447 0.831468i −0.0516201 0.0378331i
\(484\) −25.3876 + 143.980i −1.15398 + 6.54455i
\(485\) −7.94771 + 2.89273i −0.360887 + 0.131352i
\(486\) 36.0983 19.8524i 1.63745 0.900525i
\(487\) 3.71599 + 2.14543i 0.168388 + 0.0972187i 0.581825 0.813314i \(-0.302339\pi\)
−0.413438 + 0.910532i \(0.635672\pi\)
\(488\) −37.6666 31.6061i −1.70509 1.43074i
\(489\) 1.50617 + 0.742377i 0.0681114 + 0.0335714i
\(490\) 7.16963 + 1.26420i 0.323891 + 0.0571107i
\(491\) −6.10276 7.27298i −0.275414 0.328225i 0.610552 0.791976i \(-0.290948\pi\)
−0.885966 + 0.463751i \(0.846503\pi\)
\(492\) −14.9942 7.39048i −0.675990 0.333189i
\(493\) −9.59767 5.54122i −0.432257 0.249564i
\(494\) −7.78553 6.20724i −0.350288 0.279277i
\(495\) 9.75989 10.6598i 0.438675 0.479124i
\(496\) −5.55056 + 15.2500i −0.249227 + 0.684747i
\(497\) 2.55535 + 0.930072i 0.114623 + 0.0417194i
\(498\) 7.80712 + 31.8767i 0.349846 + 1.42843i
\(499\) −1.43798 0.523383i −0.0643730 0.0234299i 0.309633 0.950856i \(-0.399794\pi\)
−0.374006 + 0.927426i \(0.622016\pi\)
\(500\) 12.1881 + 33.4864i 0.545067 + 1.49756i
\(501\) −5.47422 12.4342i −0.244570 0.555518i
\(502\) 13.9565i 0.622909i
\(503\) −13.9371 38.2918i −0.621424 1.70735i −0.703475 0.710720i \(-0.748369\pi\)
0.0820506 0.996628i \(-0.473853\pi\)
\(504\) −46.9911 61.1879i −2.09315 2.72553i
\(505\) 2.04984 + 3.55043i 0.0912168 + 0.157992i
\(506\) 2.09004 + 3.62006i 0.0929138 + 0.160931i
\(507\) 5.93452 20.3760i 0.263561 0.904930i
\(508\) 19.1390 52.5840i 0.849156 2.33304i
\(509\) −3.11231 + 17.6508i −0.137951 + 0.782357i 0.834809 + 0.550540i \(0.185578\pi\)
−0.972759 + 0.231817i \(0.925533\pi\)
\(510\) 6.91190 4.62044i 0.306064 0.204596i
\(511\) 26.5455 22.2743i 1.17430 0.985358i
\(512\) 30.5289 1.34920
\(513\) −1.07511 22.6240i −0.0474674 0.998873i
\(514\) 43.4923 1.91836
\(515\) −6.78710 + 5.69505i −0.299075 + 0.250954i
\(516\) 26.4118 17.6556i 1.16271 0.777245i
\(517\) −8.12066 + 46.0546i −0.357146 + 2.02548i
\(518\) 12.8006 35.1694i 0.562427 1.54525i
\(519\) 1.47173 5.05315i 0.0646020 0.221809i
\(520\) −2.58579 4.47873i −0.113395 0.196405i
\(521\) 16.4560 + 28.5027i 0.720952 + 1.24873i 0.960619 + 0.277870i \(0.0896285\pi\)
−0.239667 + 0.970855i \(0.577038\pi\)
\(522\) −36.3824 + 4.80503i −1.59241 + 0.210310i
\(523\) 7.51002 + 20.6336i 0.328390 + 0.902245i 0.988520 + 0.151093i \(0.0482792\pi\)
−0.660129 + 0.751152i \(0.729499\pi\)
\(524\) 69.1667i 3.02156i
\(525\) −10.0683 22.8693i −0.439417 0.998096i
\(526\) 4.40262 + 12.0961i 0.191963 + 0.527415i
\(527\) 3.35739 + 1.22199i 0.146250 + 0.0532307i
\(528\) 28.4575 + 116.193i 1.23845 + 5.05664i
\(529\) −21.5546 7.84525i −0.937158 0.341098i
\(530\) 6.55537 18.0107i 0.284747 0.782336i
\(531\) −10.8912 2.40982i −0.472636 0.104577i
\(532\) −69.4345 + 14.0451i −3.01037 + 0.608933i
\(533\) 1.44943 + 0.836831i 0.0627820 + 0.0362472i
\(534\) 69.3468 + 34.1803i 3.00093 + 1.47913i
\(535\) −4.66455 5.55899i −0.201666 0.240336i
\(536\) −14.7525 2.60127i −0.637213 0.112358i
\(537\) −3.18731 1.57099i −0.137543 0.0677934i
\(538\) −13.7859 11.5678i −0.594353 0.498721i
\(539\) 19.9721 + 11.5309i 0.860261 + 0.496672i
\(540\) 6.30399 18.6086i 0.271281 0.800787i
\(541\) 13.1805 4.79731i 0.566675 0.206253i −0.0427650 0.999085i \(-0.513617\pi\)
0.609440 + 0.792832i \(0.291394\pi\)
\(542\) −6.64744 + 37.6995i −0.285532 + 1.61933i
\(543\) −1.28237 0.939867i −0.0550317 0.0403336i
\(544\) 31.0470i 1.33113i
\(545\) 3.74020 1.36132i 0.160213 0.0583126i
\(546\) 7.16943 + 10.7250i 0.306823 + 0.458989i
\(547\) 12.9341 + 35.5361i 0.553021 + 1.51941i 0.829564 + 0.558411i \(0.188589\pi\)
−0.276543 + 0.961001i \(0.589189\pi\)
\(548\) 4.88141 0.860725i 0.208524 0.0367684i
\(549\) −0.808128 + 18.6852i −0.0344900 + 0.797465i
\(550\) 74.2601i 3.16646i
\(551\) −6.42353 + 19.1262i −0.273652 + 0.814805i
\(552\) 2.74421 + 2.01127i 0.116801 + 0.0856055i
\(553\) 42.5088 7.49545i 1.80766 0.318739i
\(554\) 17.4225 14.6192i 0.740212 0.621112i
\(555\) 5.54297 1.35756i 0.235286 0.0576253i
\(556\) −8.81241 49.9777i −0.373730 2.11953i
\(557\) −15.3168 2.70076i −0.648993 0.114435i −0.160546 0.987028i \(-0.551325\pi\)
−0.488447 + 0.872594i \(0.662436\pi\)
\(558\) 11.2821 3.56232i 0.477609 0.150805i
\(559\) −2.75462 + 1.59038i −0.116508 + 0.0672659i
\(560\) −26.4912 4.67111i −1.11946 0.197390i
\(561\) 25.5805 6.26509i 1.08001 0.264512i
\(562\) 25.5857 44.3157i 1.07927 1.86934i
\(563\) 9.04621 0.381252 0.190626 0.981663i \(-0.438948\pi\)
0.190626 + 0.981663i \(0.438948\pi\)
\(564\) 15.1230 + 61.7476i 0.636793 + 2.60004i
\(565\) −7.42915 + 1.30996i −0.312547 + 0.0551104i
\(566\) −15.0048 12.5905i −0.630699 0.529219i
\(567\) −7.57182 + 28.3515i −0.317986 + 1.19065i
\(568\) −6.18125 2.24979i −0.259359 0.0943991i
\(569\) 9.91059 17.1656i 0.415473 0.719621i −0.580005 0.814613i \(-0.696949\pi\)
0.995478 + 0.0949920i \(0.0302826\pi\)
\(570\) −10.7396 10.6659i −0.449832 0.446746i
\(571\) 15.1317 + 26.2089i 0.633243 + 1.09681i 0.986884 + 0.161428i \(0.0516099\pi\)
−0.353642 + 0.935381i \(0.615057\pi\)
\(572\) −4.75115 26.9451i −0.198656 1.12663i
\(573\) 27.7659 1.82560i 1.15994 0.0762655i
\(574\) 15.6791 5.70671i 0.654431 0.238193i
\(575\) 0.708324 + 0.844147i 0.0295391 + 0.0352034i
\(576\) 22.8752 + 29.7862i 0.953132 + 1.24109i
\(577\) 7.66581 13.2776i 0.319132 0.552752i −0.661175 0.750231i \(-0.729942\pi\)
0.980307 + 0.197479i \(0.0632754\pi\)
\(578\) −29.7776 −1.23858
\(579\) −30.5903 8.90944i −1.27129 0.370264i
\(580\) −11.2500 + 13.4072i −0.467129 + 0.556703i
\(581\) −20.2453 11.6886i −0.839916 0.484926i
\(582\) −46.7089 + 20.5638i −1.93615 + 0.852399i
\(583\) 39.0267 46.5102i 1.61632 1.92625i
\(584\) −64.2121 + 53.8803i −2.65711 + 2.22958i
\(585\) −0.752028 + 1.81767i −0.0310925 + 0.0751513i
\(586\) −8.43310 47.8265i −0.348368 1.97569i
\(587\) −3.27414 3.90196i −0.135138 0.161051i 0.694231 0.719752i \(-0.255744\pi\)
−0.829369 + 0.558701i \(0.811300\pi\)
\(588\) 31.1647 + 3.40662i 1.28521 + 0.140487i
\(589\) 0.968685 6.43202i 0.0399140 0.265027i
\(590\) −6.45562 + 3.72715i −0.265774 + 0.153445i
\(591\) −10.0786 + 0.662664i −0.414578 + 0.0272583i
\(592\) −16.1554 + 44.3865i −0.663981 + 1.82427i
\(593\) 3.64215 4.34055i 0.149565 0.178245i −0.686060 0.727545i \(-0.740661\pi\)
0.835625 + 0.549300i \(0.185106\pi\)
\(594\) 54.5454 68.0479i 2.23802 2.79204i
\(595\) −1.02837 + 5.83219i −0.0421592 + 0.239097i
\(596\) 91.1839 52.6451i 3.73504 2.15643i
\(597\) −18.6995 + 25.5139i −0.765319 + 1.04421i
\(598\) −0.435821 0.365697i −0.0178220 0.0149545i
\(599\) −27.4211 23.0091i −1.12040 0.940125i −0.121773 0.992558i \(-0.538858\pi\)
−0.998624 + 0.0524331i \(0.983302\pi\)
\(600\) 24.3547 + 55.3194i 0.994276 + 2.25841i
\(601\) −0.820033 + 0.473447i −0.0334499 + 0.0193123i −0.516632 0.856208i \(-0.672814\pi\)
0.483182 + 0.875520i \(0.339481\pi\)
\(602\) −5.50639 + 31.2283i −0.224424 + 1.27277i
\(603\) 2.63308 + 5.05304i 0.107227 + 0.205776i
\(604\) 22.3117 26.5901i 0.907852 1.08194i
\(605\) 7.61030 20.9091i 0.309403 0.850077i
\(606\) 13.7479 + 20.5661i 0.558471 + 0.835439i
\(607\) 1.96702 1.13566i 0.0798389 0.0460950i −0.459549 0.888152i \(-0.651989\pi\)
0.539388 + 0.842057i \(0.318656\pi\)
\(608\) 55.4004 11.2063i 2.24678 0.454477i
\(609\) 15.4529 21.0841i 0.626182 0.854372i
\(610\) 8.03388 + 9.57441i 0.325282 + 0.387657i
\(611\) −1.10525 6.26818i −0.0447136 0.253583i
\(612\) 28.3948 21.8066i 1.14779 0.881479i
\(613\) −27.8078 + 23.3335i −1.12315 + 0.942432i −0.998759 0.0498023i \(-0.984141\pi\)
−0.124387 + 0.992234i \(0.539696\pi\)
\(614\) 6.78060 8.08080i 0.273643 0.326115i
\(615\) 2.05204 + 1.50397i 0.0827464 + 0.0606461i
\(616\) −141.439 81.6599i −5.69874 3.29017i
\(617\) 14.2665 17.0022i 0.574349 0.684483i −0.398168 0.917312i \(-0.630354\pi\)
0.972518 + 0.232830i \(0.0747985\pi\)
\(618\) −38.6113 + 36.9775i −1.55317 + 1.48745i
\(619\) 3.09223 0.124287 0.0621436 0.998067i \(-0.480206\pi\)
0.0621436 + 0.998067i \(0.480206\pi\)
\(620\) 2.82120 4.88646i 0.113302 0.196245i
\(621\) −0.0290282 1.29381i −0.00116486 0.0519187i
\(622\) 41.5552 + 49.5235i 1.66621 + 1.98571i
\(623\) −51.7496 + 18.8353i −2.07330 + 0.754621i
\(624\) −9.04837 13.5358i −0.362225 0.541866i
\(625\) 2.89977 + 16.4454i 0.115991 + 0.657817i
\(626\) 40.3749 + 69.9314i 1.61371 + 2.79502i
\(627\) −20.4127 43.3847i −0.815205 1.73262i
\(628\) −39.4911 + 68.4006i −1.57587 + 2.72948i
\(629\) 9.77195 + 3.55670i 0.389633 + 0.141815i
\(630\) 9.06232 + 17.3911i 0.361051 + 0.692878i
\(631\) −2.58804 2.17163i −0.103028 0.0864511i 0.589818 0.807536i \(-0.299199\pi\)
−0.692847 + 0.721085i \(0.743644\pi\)
\(632\) −102.826 + 18.1311i −4.09021 + 0.721215i
\(633\) −17.9540 + 17.1943i −0.713608 + 0.683412i
\(634\) −84.6417 −3.36155
\(635\) −4.25831 + 7.37560i −0.168986 + 0.292692i
\(636\) 23.0797 79.2433i 0.915168 3.14220i
\(637\) −3.09111 0.545046i −0.122474 0.0215955i
\(638\) −67.2790 + 38.8435i −2.66360 + 1.53783i
\(639\) 0.753353 + 2.38591i 0.0298022 + 0.0943853i
\(640\) 5.34190 + 0.941921i 0.211157 + 0.0372327i
\(641\) 5.27093 + 29.8929i 0.208189 + 1.18070i 0.892342 + 0.451360i \(0.149061\pi\)
−0.684153 + 0.729339i \(0.739828\pi\)
\(642\) −30.2865 31.6247i −1.19531 1.24813i
\(643\) −14.3844 + 12.0699i −0.567264 + 0.475991i −0.880737 0.473606i \(-0.842952\pi\)
0.313473 + 0.949597i \(0.398508\pi\)
\(644\) −3.98616 + 0.702868i −0.157077 + 0.0276969i
\(645\) −4.42526 + 1.94825i −0.174245 + 0.0767122i
\(646\) −5.46837 27.0339i −0.215150 1.06363i
\(647\) 1.18300i 0.0465086i 0.999730 + 0.0232543i \(0.00740274\pi\)
−0.999730 + 0.0232543i \(0.992597\pi\)
\(648\) 18.3158 68.5807i 0.719512 2.69410i
\(649\) −23.2545 + 4.10040i −0.912820 + 0.160955i
\(650\) −3.45681 9.49752i −0.135587 0.372523i
\(651\) −3.72581 + 7.55911i −0.146026 + 0.296265i
\(652\) 4.54085 1.65273i 0.177833 0.0647260i
\(653\) 13.7421i 0.537770i 0.963172 + 0.268885i \(0.0866551\pi\)
−0.963172 + 0.268885i \(0.913345\pi\)
\(654\) 21.9813 9.67737i 0.859535 0.378415i
\(655\) −1.82796 + 10.3669i −0.0714242 + 0.405067i
\(656\) −19.7882 + 7.20230i −0.772598 + 0.281203i
\(657\) 31.1304 + 6.88804i 1.21451 + 0.268728i
\(658\) −54.9524 31.7268i −2.14227 1.23684i
\(659\) 1.60512 + 1.34685i 0.0625265 + 0.0524659i 0.673515 0.739173i \(-0.264784\pi\)
−0.610989 + 0.791639i \(0.709228\pi\)
\(660\) −2.72876 41.5022i −0.106217 1.61547i
\(661\) 42.5800 + 7.50801i 1.65617 + 0.292028i 0.922073 0.387015i \(-0.126494\pi\)
0.734098 + 0.679043i \(0.237605\pi\)
\(662\) −32.6897 38.9580i −1.27052 1.51415i
\(663\) −2.97999 + 1.99205i −0.115733 + 0.0773649i
\(664\) 48.9722 + 28.2741i 1.90049 + 1.09725i
\(665\) 10.7782 0.270080i 0.417961 0.0104732i
\(666\) 32.8374 10.3684i 1.27242 0.401768i
\(667\) −0.394284 + 1.08329i −0.0152667 + 0.0419450i
\(668\) −36.7388 13.3718i −1.42147 0.517372i
\(669\) −1.28873 + 1.23420i −0.0498253 + 0.0477170i
\(670\) 3.57813 + 1.30233i 0.138235 + 0.0503135i
\(671\) 13.5412 + 37.2042i 0.522754 + 1.43625i
\(672\) −72.7982 7.95757i −2.80825 0.306970i
\(673\) 30.6064i 1.17979i −0.807480 0.589895i \(-0.799169\pi\)
0.807480 0.589895i \(-0.200831\pi\)
\(674\) 20.9225 + 57.4842i 0.805906 + 2.21421i
\(675\) 11.0458 20.1632i 0.425152 0.776083i
\(676\) −30.5366 52.8909i −1.17448 2.03427i
\(677\) −0.467835 0.810314i −0.0179804 0.0311429i 0.856895 0.515491i \(-0.172390\pi\)
−0.874876 + 0.484348i \(0.839057\pi\)
\(678\) −44.2132 + 10.8285i −1.69800 + 0.415867i
\(679\) 12.4334 34.1606i 0.477151 1.31096i
\(680\) 2.48758 14.1077i 0.0953942 0.541007i
\(681\) 1.13413 + 17.2492i 0.0434599 + 0.660990i
\(682\) 19.1859 16.0989i 0.734667 0.616459i
\(683\) −17.9300 −0.686071 −0.343035 0.939323i \(-0.611455\pi\)
−0.343035 + 0.939323i \(0.611455\pi\)
\(684\) −49.1608 42.7968i −1.87971 1.63638i
\(685\) −0.754385 −0.0288236
\(686\) 22.2365 18.6586i 0.848994 0.712390i
\(687\) 7.58828 + 3.74019i 0.289511 + 0.142697i
\(688\) 6.94948 39.4125i 0.264946 1.50259i
\(689\) −2.82628 + 7.76513i −0.107673 + 0.295828i
\(690\) −0.598173 0.624603i −0.0227720 0.0237782i
\(691\) −1.17561 2.03622i −0.0447224 0.0774614i 0.842798 0.538230i \(-0.180907\pi\)
−0.887520 + 0.460769i \(0.847574\pi\)
\(692\) −7.57294 13.1167i −0.287880 0.498623i
\(693\) 8.13373 + 61.5864i 0.308975 + 2.33947i
\(694\) 7.34479 + 20.1796i 0.278804 + 0.766009i
\(695\) 7.72367i 0.292975i
\(696\) −37.3796 + 51.0013i −1.41687 + 1.93320i
\(697\) 1.58563 + 4.35648i 0.0600600 + 0.165013i
\(698\) −39.1329 14.2432i −1.48120 0.539114i
\(699\) −19.8961 5.79476i −0.752541 0.219178i
\(700\) −67.5709 24.5938i −2.55394 0.929558i
\(701\) 0.152181 0.418113i 0.00574779 0.0157919i −0.936786 0.349904i \(-0.886214\pi\)
0.942533 + 0.334112i \(0.108436\pi\)
\(702\) −3.80846 + 11.2421i −0.143741 + 0.424306i
\(703\) 2.81944 18.7209i 0.106337 0.706073i
\(704\) 68.8522 + 39.7519i 2.59497 + 1.49820i
\(705\) −0.634784 9.65456i −0.0239073 0.363612i
\(706\) 29.1278 + 34.7131i 1.09624 + 1.30645i
\(707\) −17.3534 3.05988i −0.652643 0.115079i
\(708\) −26.6865 + 17.8393i −1.00294 + 0.670441i
\(709\) 14.7171 + 12.3492i 0.552714 + 0.463782i 0.875859 0.482567i \(-0.160296\pi\)
−0.323145 + 0.946350i \(0.604740\pi\)
\(710\) 1.44803 + 0.836018i 0.0543434 + 0.0313752i
\(711\) 29.2920 + 26.8190i 1.09853 + 1.00579i
\(712\) 125.179 45.5615i 4.69129 1.70749i
\(713\) 0.0645369 0.366007i 0.00241692 0.0137071i
\(714\) −3.88307 + 35.5234i −0.145320 + 1.32943i
\(715\) 4.16416i 0.155731i
\(716\) −9.60919 + 3.49746i −0.359112 + 0.130706i
\(717\) −5.83184 + 0.383442i −0.217794 + 0.0143199i
\(718\) −3.12592 8.58838i −0.116658 0.320516i
\(719\) 37.0819 6.53854i 1.38292 0.243846i 0.567815 0.823156i \(-0.307789\pi\)
0.815107 + 0.579310i \(0.196678\pi\)
\(720\) −11.4373 21.9489i −0.426244 0.817987i
\(721\) 38.0815i 1.41823i
\(722\) −46.2656 + 19.5156i −1.72183 + 0.726296i
\(723\) −2.91558 + 26.6726i −0.108432 + 0.991965i
\(724\) −4.50585 + 0.794502i −0.167458 + 0.0295274i
\(725\) −15.6885 + 13.1642i −0.582656 + 0.488907i
\(726\) 37.5449 128.909i 1.39342 4.78427i
\(727\) 4.79925 + 27.2179i 0.177994 + 1.00946i 0.934630 + 0.355620i \(0.115730\pi\)
−0.756636 + 0.653836i \(0.773158\pi\)
\(728\) 21.8907 + 3.85991i 0.811322 + 0.143058i
\(729\) −24.9320 + 10.3632i −0.923407 + 0.383821i
\(730\) 18.4522 10.6534i 0.682947 0.394300i
\(731\) −8.67689 1.52997i −0.320926 0.0565880i
\(732\) 37.2262 + 38.8710i 1.37592 + 1.43671i
\(733\) −22.0709 + 38.2280i −0.815209 + 1.41198i 0.0939693 + 0.995575i \(0.470044\pi\)
−0.909178 + 0.416408i \(0.863289\pi\)
\(734\) 84.3545 3.11358
\(735\) −4.58101 1.33422i −0.168973 0.0492136i
\(736\) 3.18048 0.560805i 0.117234 0.0206715i
\(737\) 9.24002 + 7.75330i 0.340361 + 0.285597i
\(738\) 12.9510 + 8.24322i 0.476733 + 0.303437i
\(739\) −49.3025 17.9446i −1.81362 0.660104i −0.996496 0.0836444i \(-0.973344\pi\)
−0.817126 0.576460i \(-0.804434\pi\)
\(740\) 8.21133 14.2224i 0.301855 0.522827i
\(741\) 4.63025 + 4.59849i 0.170097 + 0.168930i
\(742\) 41.1907 + 71.3443i 1.51216 + 2.61913i
\(743\) −4.43163 25.1330i −0.162581 0.922042i −0.951524 0.307575i \(-0.900482\pi\)
0.788943 0.614467i \(-0.210629\pi\)
\(744\) 9.01252 18.2850i 0.330415 0.670362i
\(745\) −15.0582 + 5.48073i −0.551689 + 0.200798i
\(746\) 18.3421 + 21.8593i 0.671552 + 0.800324i
\(747\) −2.81624 21.3238i −0.103041 0.780198i
\(748\) 37.8949 65.6359i 1.38558 2.39989i
\(749\) 31.1907 1.13968
\(750\) −7.78509 31.7868i −0.284271 1.16069i
\(751\) −28.3064 + 33.7343i −1.03292 + 1.23098i −0.0603929 + 0.998175i \(0.519235\pi\)
−0.972523 + 0.232807i \(0.925209\pi\)
\(752\) 69.3541 + 40.0416i 2.52908 + 1.46017i
\(753\) −0.993925 + 9.09271i −0.0362206 + 0.331357i
\(754\) 6.79650 8.09975i 0.247514 0.294975i
\(755\) −4.04687 + 3.39572i −0.147281 + 0.123583i
\(756\) 43.8537 + 72.1685i 1.59495 + 2.62474i
\(757\) 5.46508 + 30.9940i 0.198632 + 1.12650i 0.907151 + 0.420805i \(0.138252\pi\)
−0.708520 + 0.705691i \(0.750637\pi\)
\(758\) 55.1719 + 65.7513i 2.00393 + 2.38819i
\(759\) −1.10387 2.50733i −0.0400678 0.0910103i
\(760\) −26.0718 + 0.653307i −0.945725 + 0.0236979i
\(761\) −17.5822 + 10.1511i −0.637355 + 0.367977i −0.783595 0.621272i \(-0.786616\pi\)
0.146240 + 0.989249i \(0.453283\pi\)
\(762\) −22.7199 + 46.0952i −0.823054 + 1.66985i
\(763\) −5.85119 + 16.0760i −0.211827 + 0.581991i
\(764\) 51.4716 61.3415i 1.86218 2.21926i
\(765\) −4.83218 + 2.51800i −0.174708 + 0.0910384i
\(766\) 12.6523 71.7545i 0.457145 2.59260i
\(767\) 2.78327 1.60692i 0.100498 0.0580226i
\(768\) −10.5726 1.15569i −0.381505 0.0417024i
\(769\) −27.7241 23.2633i −0.999756 0.838895i −0.0128057 0.999918i \(-0.504076\pi\)
−0.986951 + 0.161023i \(0.948521\pi\)
\(770\) 31.8015 + 26.6846i 1.14605 + 0.961648i
\(771\) −28.3354 3.09734i −1.02047 0.111548i