Properties

Label 441.2.bd.a.59.1
Level $441$
Weight $2$
Character 441.59
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 441.59
Dual form 441.2.bd.a.299.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.57597 + 1.01099i) q^{2} +(1.30663 + 1.13698i) q^{3} +(4.14739 - 3.84822i) q^{4} +(3.17550 + 1.52924i) q^{5} +(-4.51531 - 1.60783i) q^{6} +(2.46063 - 0.972261i) q^{7} +(-4.39168 + 9.11943i) q^{8} +(0.414560 + 2.97122i) q^{9} +O(q^{10})\) \(q+(-2.57597 + 1.01099i) q^{2} +(1.30663 + 1.13698i) q^{3} +(4.14739 - 3.84822i) q^{4} +(3.17550 + 1.52924i) q^{5} +(-4.51531 - 1.60783i) q^{6} +(2.46063 - 0.972261i) q^{7} +(-4.39168 + 9.11943i) q^{8} +(0.414560 + 2.97122i) q^{9} +(-9.72603 - 0.728865i) q^{10} +(-0.673629 - 0.537201i) q^{11} +(9.79444 - 0.312699i) q^{12} +(-3.72778 + 1.46305i) q^{13} +(-5.35555 + 4.99219i) q^{14} +(2.41049 + 5.60863i) q^{15} +(1.24756 - 16.6475i) q^{16} +(1.51858 + 1.40904i) q^{17} +(-4.07177 - 7.23464i) q^{18} +(1.72443 - 0.995602i) q^{19} +(19.0549 - 5.87765i) q^{20} +(4.32057 + 1.52730i) q^{21} +(2.27835 + 0.702778i) q^{22} +(1.25652 - 0.286793i) q^{23} +(-16.1069 + 6.92246i) q^{24} +(4.62778 + 5.80305i) q^{25} +(8.12351 - 7.53751i) q^{26} +(-2.83653 + 4.35363i) q^{27} +(6.46373 - 13.5014i) q^{28} +(-2.61703 - 8.48421i) q^{29} +(-11.8796 - 12.0106i) q^{30} +(2.40588 - 1.38903i) q^{31} +(7.64993 + 24.8005i) q^{32} +(-0.269397 - 1.46782i) q^{33} +(-5.33635 - 2.09436i) q^{34} +(9.30056 + 0.675481i) q^{35} +(13.1532 + 10.7275i) q^{36} +(1.25748 - 0.387883i) q^{37} +(-3.43554 + 4.30803i) q^{38} +(-6.53428 - 2.32675i) q^{39} +(-27.8916 + 22.2428i) q^{40} +(-4.21667 + 2.87488i) q^{41} +(-12.6737 + 0.433794i) q^{42} +(-3.57231 - 2.43556i) q^{43} +(-4.86107 + 0.364287i) q^{44} +(-3.22727 + 10.0691i) q^{45} +(-2.94681 + 2.00910i) q^{46} +(-1.71760 - 4.37636i) q^{47} +(20.5580 - 20.3337i) q^{48} +(5.10942 - 4.78475i) q^{49} +(-17.7878 - 10.2698i) q^{50} +(0.382178 + 3.56769i) q^{51} +(-9.83045 + 20.4131i) q^{52} +(-3.02776 + 9.81577i) q^{53} +(2.90533 - 14.0825i) q^{54} +(-1.31760 - 2.73602i) q^{55} +(-1.93985 + 26.7094i) q^{56} +(3.38517 + 0.659761i) q^{57} +(15.3188 + 19.2092i) q^{58} +(-3.20966 - 2.18831i) q^{59} +(31.5804 + 13.9851i) q^{60} +(2.21164 - 2.38358i) q^{61} +(-4.79316 + 6.01043i) q^{62} +(3.90888 + 6.90801i) q^{63} +(-23.9617 - 30.0470i) q^{64} +(-14.0749 - 1.05477i) q^{65} +(2.17792 + 3.50871i) q^{66} +(3.30000 + 5.71576i) q^{67} +11.7204 q^{68} +(1.96788 + 1.05391i) q^{69} +(-24.6408 + 7.66277i) q^{70} +(0.0685634 - 0.0156491i) q^{71} +(-28.9164 - 9.26810i) q^{72} +(-0.591066 - 3.92147i) q^{73} +(-2.84709 + 2.27048i) q^{74} +(-0.551152 + 12.8441i) q^{75} +(3.32061 - 10.7651i) q^{76} +(-2.17985 - 0.666911i) q^{77} +(19.1844 - 0.612484i) q^{78} +(-4.44884 + 7.70562i) q^{79} +(29.4197 - 50.9564i) q^{80} +(-8.65628 + 2.46350i) q^{81} +(7.95552 - 11.6686i) q^{82} +(4.43226 - 11.2932i) q^{83} +(23.7965 - 10.2922i) q^{84} +(2.66750 + 6.79668i) q^{85} +(11.6645 + 2.66234i) q^{86} +(6.22687 - 14.0612i) q^{87} +(7.85733 - 3.78389i) q^{88} +(0.985077 - 2.50994i) q^{89} +(-1.86641 - 29.2003i) q^{90} +(-7.75023 + 7.22440i) q^{91} +(4.10764 - 6.02481i) q^{92} +(4.72289 + 0.920478i) q^{93} +(8.84893 + 9.53688i) q^{94} +(6.99846 - 0.524462i) q^{95} +(-18.2020 + 41.1028i) q^{96} +(-0.845508 + 0.488154i) q^{97} +(-8.32433 + 17.4909i) q^{98} +(1.31688 - 2.22420i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.57597 + 1.01099i −1.82148 + 0.714879i −0.835170 + 0.549991i \(0.814631\pi\)
−0.986312 + 0.164888i \(0.947274\pi\)
\(3\) 1.30663 + 1.13698i 0.754383 + 0.656435i
\(4\) 4.14739 3.84822i 2.07369 1.92411i
\(5\) 3.17550 + 1.52924i 1.42013 + 0.683897i 0.977133 0.212628i \(-0.0682021\pi\)
0.442994 + 0.896525i \(0.353916\pi\)
\(6\) −4.51531 1.60783i −1.84337 0.656392i
\(7\) 2.46063 0.972261i 0.930031 0.367480i
\(8\) −4.39168 + 9.11943i −1.55269 + 3.22420i
\(9\) 0.414560 + 2.97122i 0.138187 + 0.990406i
\(10\) −9.72603 0.728865i −3.07564 0.230487i
\(11\) −0.673629 0.537201i −0.203107 0.161972i 0.516654 0.856194i \(-0.327177\pi\)
−0.719761 + 0.694222i \(0.755749\pi\)
\(12\) 9.79444 0.312699i 2.82741 0.0902683i
\(13\) −3.72778 + 1.46305i −1.03390 + 0.405776i −0.820777 0.571249i \(-0.806459\pi\)
−0.213124 + 0.977025i \(0.568364\pi\)
\(14\) −5.35555 + 4.99219i −1.43133 + 1.33422i
\(15\) 2.41049 + 5.60863i 0.622386 + 1.44814i
\(16\) 1.24756 16.6475i 0.311890 4.16188i
\(17\) 1.51858 + 1.40904i 0.368311 + 0.341742i 0.842515 0.538672i \(-0.181074\pi\)
−0.474205 + 0.880415i \(0.657264\pi\)
\(18\) −4.07177 7.23464i −0.959726 1.70522i
\(19\) 1.72443 0.995602i 0.395612 0.228407i −0.288977 0.957336i \(-0.593315\pi\)
0.684589 + 0.728929i \(0.259982\pi\)
\(20\) 19.0549 5.87765i 4.26080 1.31428i
\(21\) 4.32057 + 1.52730i 0.942826 + 0.333284i
\(22\) 2.27835 + 0.702778i 0.485746 + 0.149833i
\(23\) 1.25652 0.286793i 0.262003 0.0598004i −0.0895015 0.995987i \(-0.528527\pi\)
0.351504 + 0.936186i \(0.385670\pi\)
\(24\) −16.1069 + 6.92246i −3.28781 + 1.41304i
\(25\) 4.62778 + 5.80305i 0.925555 + 1.16061i
\(26\) 8.12351 7.53751i 1.59315 1.47823i
\(27\) −2.83653 + 4.35363i −0.545891 + 0.837856i
\(28\) 6.46373 13.5014i 1.22153 2.55152i
\(29\) −2.61703 8.48421i −0.485970 1.57548i −0.783898 0.620889i \(-0.786772\pi\)
0.297928 0.954588i \(-0.403705\pi\)
\(30\) −11.8796 12.0106i −2.16891 2.19283i
\(31\) 2.40588 1.38903i 0.432108 0.249478i −0.268136 0.963381i \(-0.586408\pi\)
0.700244 + 0.713903i \(0.253074\pi\)
\(32\) 7.64993 + 24.8005i 1.35233 + 4.38415i
\(33\) −0.269397 1.46782i −0.0468960 0.255515i
\(34\) −5.33635 2.09436i −0.915176 0.359180i
\(35\) 9.30056 + 0.675481i 1.57208 + 0.114177i
\(36\) 13.1532 + 10.7275i 2.19221 + 1.78791i
\(37\) 1.25748 0.387883i 0.206729 0.0637675i −0.189661 0.981850i \(-0.560739\pi\)
0.396390 + 0.918082i \(0.370263\pi\)
\(38\) −3.43554 + 4.30803i −0.557318 + 0.698854i
\(39\) −6.53428 2.32675i −1.04632 0.372578i
\(40\) −27.8916 + 22.2428i −4.41005 + 3.51690i
\(41\) −4.21667 + 2.87488i −0.658533 + 0.448980i −0.845923 0.533305i \(-0.820950\pi\)
0.187390 + 0.982286i \(0.439997\pi\)
\(42\) −12.6737 + 0.433794i −1.95560 + 0.0669359i
\(43\) −3.57231 2.43556i −0.544773 0.371420i 0.259442 0.965759i \(-0.416461\pi\)
−0.804215 + 0.594339i \(0.797414\pi\)
\(44\) −4.86107 + 0.364287i −0.732834 + 0.0549183i
\(45\) −3.22727 + 10.0691i −0.481093 + 1.50101i
\(46\) −2.94681 + 2.00910i −0.434484 + 0.296226i
\(47\) −1.71760 4.37636i −0.250537 0.638358i 0.749175 0.662373i \(-0.230450\pi\)
−0.999712 + 0.0240146i \(0.992355\pi\)
\(48\) 20.5580 20.3337i 2.96729 2.93491i
\(49\) 5.10942 4.78475i 0.729916 0.683536i
\(50\) −17.7878 10.2698i −2.51558 1.45237i
\(51\) 0.382178 + 3.56769i 0.0535156 + 0.499576i
\(52\) −9.83045 + 20.4131i −1.36324 + 2.83079i
\(53\) −3.02776 + 9.81577i −0.415895 + 1.34830i 0.469283 + 0.883048i \(0.344512\pi\)
−0.885178 + 0.465252i \(0.845964\pi\)
\(54\) 2.90533 14.0825i 0.395366 1.91639i
\(55\) −1.31760 2.73602i −0.177665 0.368925i
\(56\) −1.93985 + 26.7094i −0.259223 + 3.56920i
\(57\) 3.38517 + 0.659761i 0.448377 + 0.0873874i
\(58\) 15.3188 + 19.2092i 2.01146 + 2.52230i
\(59\) −3.20966 2.18831i −0.417862 0.284893i 0.336081 0.941833i \(-0.390898\pi\)
−0.753943 + 0.656940i \(0.771851\pi\)
\(60\) 31.5804 + 13.9851i 4.07702 + 1.80547i
\(61\) 2.21164 2.38358i 0.283171 0.305186i −0.575408 0.817866i \(-0.695157\pi\)
0.858580 + 0.512680i \(0.171347\pi\)
\(62\) −4.79316 + 6.01043i −0.608731 + 0.763325i
\(63\) 3.90888 + 6.90801i 0.492473 + 0.870328i
\(64\) −23.9617 30.0470i −2.99521 3.75588i
\(65\) −14.0749 1.05477i −1.74578 0.130828i
\(66\) 2.17792 + 3.50871i 0.268083 + 0.431892i
\(67\) 3.30000 + 5.71576i 0.403159 + 0.698291i 0.994105 0.108419i \(-0.0345789\pi\)
−0.590947 + 0.806711i \(0.701246\pi\)
\(68\) 11.7204 1.42131
\(69\) 1.96788 + 1.05391i 0.236906 + 0.126875i
\(70\) −24.6408 + 7.66277i −2.94514 + 0.915877i
\(71\) 0.0685634 0.0156491i 0.00813698 0.00185721i −0.218451 0.975848i \(-0.570100\pi\)
0.226587 + 0.973991i \(0.427243\pi\)
\(72\) −28.9164 9.26810i −3.40783 1.09226i
\(73\) −0.591066 3.92147i −0.0691790 0.458973i −0.996422 0.0845135i \(-0.973066\pi\)
0.927243 0.374459i \(-0.122172\pi\)
\(74\) −2.84709 + 2.27048i −0.330968 + 0.263938i
\(75\) −0.551152 + 12.8441i −0.0636415 + 1.48311i
\(76\) 3.32061 10.7651i 0.380900 1.23485i
\(77\) −2.17985 0.666911i −0.248417 0.0760015i
\(78\) 19.1844 0.612484i 2.17221 0.0693502i
\(79\) −4.44884 + 7.70562i −0.500534 + 0.866950i 0.499466 + 0.866333i \(0.333530\pi\)
−1.00000 0.000616492i \(0.999804\pi\)
\(80\) 29.4197 50.9564i 3.28922 5.69710i
\(81\) −8.65628 + 2.46350i −0.961809 + 0.273722i
\(82\) 7.95552 11.6686i 0.878540 1.28858i
\(83\) 4.43226 11.2932i 0.486504 1.23959i −0.451283 0.892381i \(-0.649034\pi\)
0.937787 0.347211i \(-0.112871\pi\)
\(84\) 23.7965 10.2922i 2.59641 1.12297i
\(85\) 2.66750 + 6.79668i 0.289331 + 0.737204i
\(86\) 11.6645 + 2.66234i 1.25781 + 0.287088i
\(87\) 6.22687 14.0612i 0.667591 1.50752i
\(88\) 7.85733 3.78389i 0.837594 0.403364i
\(89\) 0.985077 2.50994i 0.104418 0.266053i −0.869111 0.494618i \(-0.835308\pi\)
0.973529 + 0.228565i \(0.0734033\pi\)
\(90\) −1.86641 29.2003i −0.196737 3.07798i
\(91\) −7.75023 + 7.22440i −0.812445 + 0.757323i
\(92\) 4.10764 6.02481i 0.428251 0.628129i
\(93\) 4.72289 + 0.920478i 0.489741 + 0.0954491i
\(94\) 8.84893 + 9.53688i 0.912698 + 0.983654i
\(95\) 6.99846 0.524462i 0.718026 0.0538086i
\(96\) −18.2020 + 41.1028i −1.85773 + 4.19504i
\(97\) −0.845508 + 0.488154i −0.0858484 + 0.0495646i −0.542310 0.840179i \(-0.682450\pi\)
0.456461 + 0.889743i \(0.349117\pi\)
\(98\) −8.32433 + 17.4909i −0.840884 + 1.76685i
\(99\) 1.31688 2.22420i 0.132352 0.223541i
\(100\) 41.5246 + 6.25882i 4.15246 + 0.625882i
\(101\) −15.8763 7.64561i −1.57975 0.760767i −0.581155 0.813793i \(-0.697399\pi\)
−0.998593 + 0.0530264i \(0.983113\pi\)
\(102\) −4.59138 8.80386i −0.454615 0.871712i
\(103\) 6.17274 12.8178i 0.608218 1.26298i −0.338516 0.940961i \(-0.609925\pi\)
0.946734 0.322017i \(-0.104361\pi\)
\(104\) 3.02909 40.4205i 0.297027 3.96355i
\(105\) 11.3844 + 11.4571i 1.11100 + 1.11810i
\(106\) −2.12425 28.3461i −0.206325 2.75322i
\(107\) 5.58628 + 2.19245i 0.540046 + 0.211952i 0.619656 0.784874i \(-0.287272\pi\)
−0.0796098 + 0.996826i \(0.525367\pi\)
\(108\) 4.98948 + 28.9718i 0.480113 + 2.78781i
\(109\) 2.78226 + 7.08909i 0.266492 + 0.679011i 1.00000 0.000670074i \(-0.000213291\pi\)
−0.733507 + 0.679681i \(0.762118\pi\)
\(110\) 6.16019 + 5.71582i 0.587351 + 0.544982i
\(111\) 2.08408 + 0.922914i 0.197812 + 0.0875991i
\(112\) −13.1160 42.1764i −1.23934 3.98529i
\(113\) 0.466462 + 3.09477i 0.0438810 + 0.291132i 0.999998 0.00185269i \(-0.000589729\pi\)
−0.956117 + 0.292984i \(0.905352\pi\)
\(114\) −9.38710 + 1.72286i −0.879183 + 0.161361i
\(115\) 4.42866 + 1.01081i 0.412975 + 0.0942588i
\(116\) −43.5029 25.1164i −4.03914 2.33200i
\(117\) −5.89242 10.4695i −0.544755 0.967909i
\(118\) 10.4803 + 2.39207i 0.964792 + 0.220208i
\(119\) 5.10663 + 1.99067i 0.468124 + 0.182484i
\(120\) −61.7335 2.64904i −5.63548 0.241823i
\(121\) −2.28254 10.0005i −0.207504 0.909133i
\(122\) −3.28733 + 8.37597i −0.297621 + 0.758325i
\(123\) −8.77830 1.03786i −0.791512 0.0935810i
\(124\) 4.63281 15.0192i 0.416039 1.34876i
\(125\) 1.89983 + 8.32371i 0.169926 + 0.744495i
\(126\) −17.0531 13.8430i −1.51921 1.23323i
\(127\) −2.64006 + 11.5669i −0.234268 + 1.02639i 0.711789 + 0.702393i \(0.247885\pi\)
−0.946057 + 0.324001i \(0.894972\pi\)
\(128\) 47.1491 + 27.2215i 4.16743 + 2.40607i
\(129\) −1.89851 7.24402i −0.167154 0.637800i
\(130\) 37.3229 11.5126i 3.27343 1.00972i
\(131\) −11.4204 + 5.49980i −0.997809 + 0.480520i −0.860194 0.509966i \(-0.829658\pi\)
−0.137615 + 0.990486i \(0.543944\pi\)
\(132\) −6.76580 5.05094i −0.588887 0.439628i
\(133\) 3.27521 4.12641i 0.283997 0.357805i
\(134\) −14.2793 11.3873i −1.23354 0.983716i
\(135\) −15.6652 + 9.48720i −1.34824 + 0.816528i
\(136\) −19.5188 + 7.66055i −1.67372 + 0.656887i
\(137\) 4.55487 + 9.45829i 0.389149 + 0.808076i 0.999868 + 0.0162291i \(0.00516610\pi\)
−0.610719 + 0.791847i \(0.709120\pi\)
\(138\) −6.13469 0.725309i −0.522220 0.0617424i
\(139\) 11.0352 + 16.1856i 0.935991 + 1.37285i 0.927880 + 0.372880i \(0.121630\pi\)
0.00811176 + 0.999967i \(0.497418\pi\)
\(140\) 41.1724 32.9891i 3.47971 2.78809i
\(141\) 2.73157 7.67115i 0.230040 0.646028i
\(142\) −0.160796 + 0.109629i −0.0134937 + 0.00919984i
\(143\) 3.29709 + 1.01702i 0.275717 + 0.0850473i
\(144\) 49.9806 3.19463i 4.16505 0.266219i
\(145\) 4.66401 30.9437i 0.387325 2.56973i
\(146\) 5.48714 + 9.50400i 0.454119 + 0.786556i
\(147\) 12.1163 0.442606i 0.999333 0.0365055i
\(148\) 3.72262 6.44777i 0.305998 0.530004i
\(149\) −14.4077 11.4898i −1.18033 0.941278i −0.181215 0.983444i \(-0.558003\pi\)
−0.999111 + 0.0421654i \(0.986574\pi\)
\(150\) −11.5656 33.6432i −0.944323 2.74696i
\(151\) −0.826616 3.62164i −0.0672690 0.294725i 0.930092 0.367327i \(-0.119727\pi\)
−0.997361 + 0.0726018i \(0.976870\pi\)
\(152\) 1.50615 + 20.0982i 0.122165 + 1.63018i
\(153\) −3.55702 + 5.09617i −0.287568 + 0.412001i
\(154\) 6.28947 0.485875i 0.506820 0.0391529i
\(155\) 9.76403 0.731713i 0.784266 0.0587726i
\(156\) −36.0540 + 15.4954i −2.88663 + 1.24062i
\(157\) −6.10370 + 8.95249i −0.487129 + 0.714487i −0.988580 0.150700i \(-0.951847\pi\)
0.501451 + 0.865186i \(0.332800\pi\)
\(158\) 3.66974 24.3472i 0.291949 1.93696i
\(159\) −15.1165 + 9.38307i −1.19882 + 0.744126i
\(160\) −13.6335 + 90.4525i −1.07782 + 7.15090i
\(161\) 2.81300 1.92736i 0.221695 0.151897i
\(162\) 19.8077 15.0973i 1.55624 1.18616i
\(163\) 12.0153 + 8.19188i 0.941109 + 0.641637i 0.933593 0.358334i \(-0.116655\pi\)
0.00751588 + 0.999972i \(0.497608\pi\)
\(164\) −6.42503 + 28.1499i −0.501710 + 2.19814i
\(165\) 1.38919 5.07305i 0.108148 0.394936i
\(166\) 33.5719i 2.60569i
\(167\) 1.03888 + 0.963937i 0.0803907 + 0.0745917i 0.719345 0.694653i \(-0.244442\pi\)
−0.638954 + 0.769245i \(0.720633\pi\)
\(168\) −32.9027 + 32.6937i −2.53850 + 2.52238i
\(169\) 2.22618 2.06559i 0.171244 0.158891i
\(170\) −13.7428 14.8112i −1.05402 1.13597i
\(171\) 3.67303 + 4.71093i 0.280884 + 0.360254i
\(172\) −24.1883 + 3.64581i −1.84434 + 0.277990i
\(173\) 1.55211 + 0.478761i 0.118004 + 0.0363996i 0.353195 0.935550i \(-0.385095\pi\)
−0.235191 + 0.971949i \(0.575571\pi\)
\(174\) −1.82442 + 42.5165i −0.138309 + 3.22317i
\(175\) 17.0293 + 9.77976i 1.28730 + 0.739280i
\(176\) −9.78346 + 10.5441i −0.737456 + 0.794788i
\(177\) −1.70577 6.50862i −0.128214 0.489218i
\(178\) 7.46141i 0.559257i
\(179\) 12.8119 13.8079i 0.957603 1.03205i −0.0418544 0.999124i \(-0.513327\pi\)
0.999458 0.0329272i \(-0.0104830\pi\)
\(180\) 25.3632 + 54.1796i 1.89046 + 4.03831i
\(181\) −2.30735 + 1.84005i −0.171504 + 0.136770i −0.705480 0.708730i \(-0.749269\pi\)
0.533976 + 0.845500i \(0.320697\pi\)
\(182\) 12.6605 26.4452i 0.938461 1.96025i
\(183\) 5.59987 0.599870i 0.413955 0.0443437i
\(184\) −2.90286 + 12.7183i −0.214002 + 0.937602i
\(185\) 4.58631 + 0.691275i 0.337192 + 0.0508235i
\(186\) −13.0966 + 2.40369i −0.960290 + 0.176247i
\(187\) −0.266024 1.76495i −0.0194536 0.129066i
\(188\) −23.9647 11.5408i −1.74781 0.841699i
\(189\) −2.74680 + 13.4705i −0.199800 + 0.979837i
\(190\) −17.4976 + 8.42638i −1.26941 + 0.611314i
\(191\) −4.61691 6.77177i −0.334068 0.489988i 0.622047 0.782980i \(-0.286301\pi\)
−0.956115 + 0.292992i \(0.905349\pi\)
\(192\) 2.85375 66.5043i 0.205952 4.79953i
\(193\) −1.51632 20.2338i −0.109147 1.45646i −0.735818 0.677180i \(-0.763202\pi\)
0.626671 0.779284i \(-0.284417\pi\)
\(194\) 1.68448 2.11227i 0.120939 0.151652i
\(195\) −17.1915 17.3811i −1.23111 1.24468i
\(196\) 2.77797 39.5064i 0.198427 2.82188i
\(197\) 14.9253i 1.06338i −0.846938 0.531691i \(-0.821557\pi\)
0.846938 0.531691i \(-0.178443\pi\)
\(198\) −1.14359 + 7.06082i −0.0812717 + 0.501791i
\(199\) 4.81377 + 7.06051i 0.341239 + 0.500506i 0.958048 0.286607i \(-0.0925273\pi\)
−0.616809 + 0.787113i \(0.711575\pi\)
\(200\) −73.2442 + 16.7175i −5.17915 + 1.18211i
\(201\) −2.18682 + 11.2204i −0.154247 + 0.791426i
\(202\) 48.6264 + 3.64404i 3.42134 + 0.256394i
\(203\) −14.6884 18.3321i −1.03092 1.28666i
\(204\) 15.3143 + 13.3259i 1.07221 + 0.932999i
\(205\) −17.7864 + 2.68087i −1.24226 + 0.187240i
\(206\) −2.94205 + 39.2589i −0.204982 + 2.73529i
\(207\) 1.37303 + 3.61451i 0.0954321 + 0.251226i
\(208\) 19.7055 + 63.8835i 1.36633 + 4.42953i
\(209\) −1.69647 0.255701i −0.117347 0.0176872i
\(210\) −40.9088 18.0037i −2.82298 1.24237i
\(211\) −6.92502 + 1.04378i −0.476738 + 0.0718567i −0.383016 0.923742i \(-0.625115\pi\)
−0.0937219 + 0.995598i \(0.529876\pi\)
\(212\) 25.2159 + 52.3613i 1.73183 + 3.59619i
\(213\) 0.107380 + 0.0575075i 0.00735753 + 0.00394035i
\(214\) −16.6066 −1.13520
\(215\) −7.61932 13.1971i −0.519633 0.900032i
\(216\) −27.2454 44.9873i −1.85382 3.06100i
\(217\) 4.56947 5.75704i 0.310196 0.390814i
\(218\) −14.3340 15.4484i −0.970822 1.04630i
\(219\) 3.68632 5.79593i 0.249098 0.391653i
\(220\) −15.9934 6.27695i −1.07828 0.423192i
\(221\) −7.72244 3.03083i −0.519467 0.203876i
\(222\) −6.30158 0.270406i −0.422934 0.0181485i
\(223\) −7.89450 8.50825i −0.528655 0.569755i 0.411106 0.911588i \(-0.365143\pi\)
−0.939761 + 0.341833i \(0.888952\pi\)
\(224\) 42.9362 + 53.5871i 2.86880 + 3.58044i
\(225\) −15.3236 + 16.1559i −1.02158 + 1.07706i
\(226\) −4.33038 7.50044i −0.288052 0.498922i
\(227\) −0.873264 −0.0579606 −0.0289803 0.999580i \(-0.509226\pi\)
−0.0289803 + 0.999580i \(0.509226\pi\)
\(228\) 16.5785 10.2906i 1.09794 0.681511i
\(229\) −9.14611 18.9921i −0.604392 1.25503i −0.948700 0.316177i \(-0.897601\pi\)
0.344308 0.938857i \(-0.388113\pi\)
\(230\) −12.4300 + 1.87352i −0.819610 + 0.123536i
\(231\) −2.09000 3.34985i −0.137512 0.220404i
\(232\) 88.8643 + 13.3941i 5.83422 + 0.879368i
\(233\) 0.334598 + 1.08474i 0.0219202 + 0.0710637i 0.965872 0.259020i \(-0.0833994\pi\)
−0.943952 + 0.330083i \(0.892923\pi\)
\(234\) 25.7633 + 21.0120i 1.68420 + 1.37360i
\(235\) 1.23828 16.5238i 0.0807768 1.07789i
\(236\) −21.7328 + 3.27569i −1.41468 + 0.213229i
\(237\) −14.5741 + 5.01015i −0.946690 + 0.325444i
\(238\) −15.1670 + 0.0348714i −0.983134 + 0.00226038i
\(239\) 29.9247 + 2.24255i 1.93567 + 0.145058i 0.985838 0.167703i \(-0.0536349\pi\)
0.949832 + 0.312761i \(0.101254\pi\)
\(240\) 96.3769 33.1316i 6.22110 2.13863i
\(241\) 0.669583 0.152828i 0.0431317 0.00984452i −0.200901 0.979612i \(-0.564387\pi\)
0.244032 + 0.969767i \(0.421530\pi\)
\(242\) 15.9901 + 23.4532i 1.02788 + 1.50763i
\(243\) −14.1115 6.62312i −0.905253 0.424873i
\(244\) 18.3965i 1.17772i
\(245\) 23.5420 7.38046i 1.50404 0.471521i
\(246\) 23.6619 6.20129i 1.50863 0.395380i
\(247\) −4.97170 + 6.23431i −0.316342 + 0.396680i
\(248\) 2.10134 + 28.0404i 0.133435 + 1.78057i
\(249\) 18.6315 9.71666i 1.18072 0.615768i
\(250\) −13.3091 19.5209i −0.841742 1.23461i
\(251\) 10.8888 5.24376i 0.687294 0.330983i −0.0574362 0.998349i \(-0.518293\pi\)
0.744730 + 0.667366i \(0.232578\pi\)
\(252\) 42.7952 + 13.6080i 2.69584 + 0.857224i
\(253\) −1.00049 0.481813i −0.0629006 0.0302913i
\(254\) −4.89330 32.4650i −0.307033 2.03703i
\(255\) −4.24225 + 11.9136i −0.265660 + 0.746061i
\(256\) −72.9704 10.9985i −4.56065 0.687407i
\(257\) 2.82678 12.3849i 0.176329 0.772550i −0.806976 0.590585i \(-0.798897\pi\)
0.983305 0.181965i \(-0.0582457\pi\)
\(258\) 12.2141 + 16.7410i 0.760419 + 1.04225i
\(259\) 2.71708 2.17704i 0.168831 0.135275i
\(260\) −62.4332 + 49.7888i −3.87194 + 3.08777i
\(261\) 24.1235 11.2930i 1.49321 0.699018i
\(262\) 23.8584 25.7133i 1.47398 1.58857i
\(263\) 27.7655i 1.71209i 0.516898 + 0.856047i \(0.327087\pi\)
−0.516898 + 0.856047i \(0.672913\pi\)
\(264\) 14.5688 + 3.98947i 0.896649 + 0.245535i
\(265\) −24.6253 + 26.5398i −1.51272 + 1.63033i
\(266\) −4.26506 + 13.9407i −0.261508 + 0.854759i
\(267\) 4.14087 2.15954i 0.253417 0.132162i
\(268\) 35.6818 + 11.0064i 2.17962 + 0.672322i
\(269\) 10.3161 1.55491i 0.628986 0.0948043i 0.173190 0.984889i \(-0.444593\pi\)
0.455796 + 0.890084i \(0.349355\pi\)
\(270\) 30.7614 40.2761i 1.87208 2.45112i
\(271\) 10.4276 + 11.2383i 0.633432 + 0.682678i 0.965448 0.260596i \(-0.0839191\pi\)
−0.332015 + 0.943274i \(0.607729\pi\)
\(272\) 25.3515 23.5228i 1.53716 1.42628i
\(273\) −18.3407 + 0.627761i −1.11003 + 0.0379938i
\(274\) −21.2954 19.7593i −1.28651 1.19370i
\(275\) 6.39515i 0.385642i
\(276\) 12.2172 3.20189i 0.735392 0.192731i
\(277\) 3.21044 14.0659i 0.192897 0.845136i −0.782142 0.623101i \(-0.785873\pi\)
0.975039 0.222036i \(-0.0712702\pi\)
\(278\) −44.7898 30.5371i −2.68631 1.83150i
\(279\) 5.12451 + 6.57255i 0.306796 + 0.393488i
\(280\) −47.0051 + 81.8492i −2.80909 + 4.89143i
\(281\) −1.80004 + 11.9425i −0.107382 + 0.712430i 0.868750 + 0.495251i \(0.164924\pi\)
−0.976132 + 0.217179i \(0.930314\pi\)
\(282\) 0.719048 + 22.5222i 0.0428187 + 1.34118i
\(283\) −0.123491 + 0.819309i −0.00734078 + 0.0487029i −0.992201 0.124646i \(-0.960221\pi\)
0.984861 + 0.173349i \(0.0554587\pi\)
\(284\) 0.224138 0.328750i 0.0133001 0.0195077i
\(285\) 9.74069 + 7.27182i 0.576989 + 0.430745i
\(286\) −9.52139 + 0.713530i −0.563012 + 0.0421919i
\(287\) −7.58054 + 11.1737i −0.447465 + 0.659564i
\(288\) −70.5163 + 33.0109i −4.15521 + 1.94519i
\(289\) −0.949708 12.6730i −0.0558652 0.745469i
\(290\) 19.2695 + 84.4251i 1.13154 + 4.95761i
\(291\) −1.65979 0.323488i −0.0972984 0.0189632i
\(292\) −17.5420 13.9893i −1.02657 0.818662i
\(293\) 8.87573 15.3732i 0.518525 0.898112i −0.481243 0.876587i \(-0.659814\pi\)
0.999768 0.0215251i \(-0.00685217\pi\)
\(294\) −30.7636 + 13.3896i −1.79417 + 0.780897i
\(295\) −6.84582 11.8573i −0.398579 0.690359i
\(296\) −1.98521 + 13.1710i −0.115388 + 0.765548i
\(297\) 4.24955 1.40894i 0.246584 0.0817550i
\(298\) 48.7298 + 15.0312i 2.82284 + 0.870732i
\(299\) −4.26445 + 2.90745i −0.246619 + 0.168142i
\(300\) 47.1411 + 55.3905i 2.72169 + 3.19797i
\(301\) −11.1582 2.51980i −0.643145 0.145239i
\(302\) 5.79078 + 8.49352i 0.333222 + 0.488747i
\(303\) −12.0515 28.0410i −0.692341 1.61091i
\(304\) −14.4230 29.9496i −0.827214 1.71773i
\(305\) 10.6681 4.18693i 0.610855 0.239743i
\(306\) 4.01057 16.7237i 0.229269 0.956030i
\(307\) −24.2206 19.3153i −1.38234 1.10238i −0.982595 0.185758i \(-0.940526\pi\)
−0.399749 0.916625i \(-0.630903\pi\)
\(308\) −11.6071 + 5.62260i −0.661377 + 0.320378i
\(309\) 22.6391 9.72988i 1.28789 0.553513i
\(310\) −24.4121 + 11.7562i −1.38651 + 0.667709i
\(311\) −6.66244 + 2.05509i −0.377792 + 0.116533i −0.477835 0.878450i \(-0.658578\pi\)
0.100043 + 0.994983i \(0.468102\pi\)
\(312\) 49.9151 49.3705i 2.82589 2.79506i
\(313\) 9.67412 + 5.58536i 0.546814 + 0.315703i 0.747836 0.663884i \(-0.231093\pi\)
−0.201022 + 0.979587i \(0.564426\pi\)
\(314\) 6.67204 29.2321i 0.376525 1.64966i
\(315\) 1.84864 + 27.9140i 0.104159 + 1.57278i
\(316\) 11.2018 + 49.0783i 0.630151 + 2.76087i
\(317\) 7.94550 25.7587i 0.446264 1.44675i −0.401246 0.915970i \(-0.631423\pi\)
0.847509 0.530781i \(-0.178101\pi\)
\(318\) 29.4533 39.4531i 1.65166 2.21242i
\(319\) −2.79482 + 7.12108i −0.156480 + 0.398704i
\(320\) −30.1413 132.058i −1.68495 7.38224i
\(321\) 4.80642 + 9.21620i 0.268268 + 0.514398i
\(322\) −5.29764 + 7.80873i −0.295226 + 0.435163i
\(323\) 4.02154 + 0.917890i 0.223764 + 0.0510728i
\(324\) −26.4209 + 43.5283i −1.46783 + 2.41824i
\(325\) −25.7415 14.8618i −1.42788 0.824387i
\(326\) −39.2329 8.95465i −2.17291 0.495952i
\(327\) −4.42475 + 12.4262i −0.244689 + 0.687169i
\(328\) −7.69894 51.0792i −0.425103 2.82037i
\(329\) −8.48134 9.09866i −0.467591 0.501625i
\(330\) 1.55032 + 14.4725i 0.0853423 + 0.796683i
\(331\) −16.6121 15.4137i −0.913081 0.847216i 0.0756167 0.997137i \(-0.475907\pi\)
−0.988698 + 0.149921i \(0.952098\pi\)
\(332\) −25.0764 63.8937i −1.37625 3.50662i
\(333\) 1.67379 + 3.57546i 0.0917230 + 0.195934i
\(334\) −3.65064 1.43277i −0.199754 0.0783978i
\(335\) 1.73837 + 23.1969i 0.0949771 + 1.26738i
\(336\) 30.8159 70.0214i 1.68115 3.81998i
\(337\) −1.23860 + 16.5279i −0.0674706 + 0.900333i 0.856077 + 0.516849i \(0.172895\pi\)
−0.923547 + 0.383484i \(0.874724\pi\)
\(338\) −3.64626 + 7.57153i −0.198330 + 0.411837i
\(339\) −2.90920 + 4.57408i −0.158006 + 0.248430i
\(340\) 37.2183 + 17.9234i 2.01844 + 0.972031i
\(341\) −2.36686 0.356747i −0.128173 0.0193189i
\(342\) −14.2243 8.42179i −0.769163 0.455398i
\(343\) 7.92036 16.7412i 0.427659 0.903940i
\(344\) 37.8994 21.8812i 2.04340 1.17976i
\(345\) 4.63734 + 6.35605i 0.249666 + 0.342198i
\(346\) −4.48220 + 0.335894i −0.240964 + 0.0180578i
\(347\) 8.62712 + 9.29783i 0.463128 + 0.499134i 0.920826 0.389974i \(-0.127516\pi\)
−0.457697 + 0.889108i \(0.651326\pi\)
\(348\) −28.2854 82.2797i −1.51625 4.41065i
\(349\) −14.2681 + 20.9275i −0.763756 + 1.12022i 0.225530 + 0.974236i \(0.427588\pi\)
−0.989286 + 0.145988i \(0.953364\pi\)
\(350\) −53.7542 7.97579i −2.87328 0.426324i
\(351\) 4.20442 20.3794i 0.224415 1.08777i
\(352\) 8.16963 20.8159i 0.435443 1.10949i
\(353\) 9.44568 4.54880i 0.502743 0.242108i −0.165283 0.986246i \(-0.552854\pi\)
0.668026 + 0.744138i \(0.267139\pi\)
\(354\) 10.9742 + 15.0415i 0.583271 + 0.799444i
\(355\) 0.241654 + 0.0551560i 0.0128257 + 0.00292738i
\(356\) −5.57327 14.2005i −0.295383 0.752624i
\(357\) 4.40913 + 8.40719i 0.233356 + 0.444956i
\(358\) −19.0432 + 48.5214i −1.00647 + 2.56443i
\(359\) 20.8523 30.5847i 1.10054 1.61420i 0.373456 0.927648i \(-0.378173\pi\)
0.727084 0.686549i \(-0.240875\pi\)
\(360\) −77.6510 73.6510i −4.09257 3.88175i
\(361\) −7.51755 + 13.0208i −0.395661 + 0.685304i
\(362\) 4.08339 7.07263i 0.214618 0.371729i
\(363\) 8.38787 15.6621i 0.440249 0.822047i
\(364\) −4.34220 + 59.7870i −0.227593 + 3.13369i
\(365\) 4.11993 13.3565i 0.215647 0.699111i
\(366\) −13.8186 + 7.20667i −0.722311 + 0.376699i
\(367\) −28.3518 + 22.6098i −1.47995 + 1.18022i −0.538710 + 0.842491i \(0.681088\pi\)
−0.941242 + 0.337732i \(0.890340\pi\)
\(368\) −3.20680 21.2758i −0.167166 1.10908i
\(369\) −10.2900 11.3368i −0.535674 0.590172i
\(370\) −12.5130 + 2.85602i −0.650522 + 0.148477i
\(371\) 2.09328 + 27.0968i 0.108678 + 1.40679i
\(372\) 23.1299 14.3571i 1.19923 0.744382i
\(373\) 3.21480 0.166456 0.0832280 0.996531i \(-0.473477\pi\)
0.0832280 + 0.996531i \(0.473477\pi\)
\(374\) 2.46962 + 4.27751i 0.127701 + 0.221185i
\(375\) −6.98150 + 13.0361i −0.360523 + 0.673180i
\(376\) 47.4530 + 3.55611i 2.44720 + 0.183393i
\(377\) 22.1685 + 27.7984i 1.14174 + 1.43169i
\(378\) −6.54293 37.4766i −0.336532 1.92759i
\(379\) 7.56375 9.48465i 0.388524 0.487194i −0.548652 0.836051i \(-0.684859\pi\)
0.937176 + 0.348857i \(0.113430\pi\)
\(380\) 27.0071 29.1067i 1.38543 1.49314i
\(381\) −16.6009 + 12.1119i −0.850488 + 0.620513i
\(382\) 18.7392 + 12.7762i 0.958781 + 0.653686i
\(383\) 15.9729 + 20.0294i 0.816179 + 1.02346i 0.999186 + 0.0403448i \(0.0128456\pi\)
−0.183007 + 0.983112i \(0.558583\pi\)
\(384\) 30.6561 + 89.1759i 1.56441 + 4.55074i
\(385\) −5.90226 5.45129i −0.300807 0.277824i
\(386\) 24.3622 + 50.5887i 1.24001 + 2.57490i
\(387\) 5.75565 11.6238i 0.292576 0.590872i
\(388\) −1.62813 + 5.27826i −0.0826557 + 0.267963i
\(389\) 1.78745 3.71168i 0.0906274 0.188190i −0.850728 0.525606i \(-0.823839\pi\)
0.941356 + 0.337416i \(0.109553\pi\)
\(390\) 61.8567 + 27.3926i 3.13224 + 1.38708i
\(391\) 2.31223 + 1.33497i 0.116935 + 0.0675123i
\(392\) 21.1953 + 67.6081i 1.07052 + 3.41472i
\(393\) −21.1754 5.79861i −1.06816 0.292501i
\(394\) 15.0893 + 38.4470i 0.760190 + 1.93693i
\(395\) −25.9110 + 17.6659i −1.30373 + 0.888865i
\(396\) −3.09758 14.2923i −0.155659 0.718214i
\(397\) −21.7008 + 1.62625i −1.08913 + 0.0816191i −0.607169 0.794573i \(-0.707695\pi\)
−0.481963 + 0.876192i \(0.660076\pi\)
\(398\) −19.5382 13.3209i −0.979363 0.667718i
\(399\) 8.97113 1.66785i 0.449118 0.0834967i
\(400\) 102.380 69.8014i 5.11899 3.49007i
\(401\) −21.0971 + 16.8244i −1.05354 + 0.840171i −0.987496 0.157646i \(-0.949610\pi\)
−0.0660454 + 0.997817i \(0.521038\pi\)
\(402\) −5.71055 31.1142i −0.284817 1.55184i
\(403\) −6.93636 + 8.69793i −0.345525 + 0.433275i
\(404\) −95.2670 + 29.3860i −4.73971 + 1.46201i
\(405\) −31.2553 5.41469i −1.55309 0.269058i
\(406\) 56.3704 + 32.3729i 2.79762 + 1.60664i
\(407\) −1.05545 0.414233i −0.0523167 0.0205328i
\(408\) −34.2137 12.1829i −1.69383 0.603144i
\(409\) −7.12388 23.0951i −0.352253 1.14198i −0.942346 0.334641i \(-0.891385\pi\)
0.590092 0.807336i \(-0.299091\pi\)
\(410\) 43.1069 24.8878i 2.12890 1.22912i
\(411\) −4.80234 + 17.5373i −0.236882 + 0.865050i
\(412\) −23.7250 76.9145i −1.16885 3.78931i
\(413\) −10.0254 2.26399i −0.493317 0.111404i
\(414\) −7.19111 7.92272i −0.353424 0.389381i
\(415\) 31.3447 29.0836i 1.53865 1.42766i
\(416\) −64.8015 81.2585i −3.17716 3.98403i
\(417\) −3.98383 + 33.6954i −0.195089 + 1.65007i
\(418\) 4.62855 1.05644i 0.226390 0.0516720i
\(419\) 20.7773 + 6.40893i 1.01504 + 0.313097i 0.757264 0.653109i \(-0.226536\pi\)
0.257771 + 0.966206i \(0.417012\pi\)
\(420\) 91.3050 + 3.70768i 4.45523 + 0.180916i
\(421\) 0.767906 0.236868i 0.0374254 0.0115442i −0.275986 0.961162i \(-0.589004\pi\)
0.313411 + 0.949617i \(0.398528\pi\)
\(422\) 16.7834 9.68987i 0.817001 0.471696i
\(423\) 12.2911 6.91762i 0.597613 0.336346i
\(424\) −76.2172 70.7192i −3.70143 3.43443i
\(425\) −1.14906 + 15.3331i −0.0557376 + 0.743766i
\(426\) −0.334746 0.0395772i −0.0162185 0.00191752i
\(427\) 3.12457 8.01541i 0.151208 0.387893i
\(428\) 31.6055 12.4042i 1.52771 0.599582i
\(429\) 3.15175 + 5.07759i 0.152168 + 0.245148i
\(430\) 32.9692 + 26.2921i 1.58992 + 1.26792i
\(431\) 2.37718 + 0.178145i 0.114505 + 0.00858095i 0.131859 0.991268i \(-0.457905\pi\)
−0.0173544 + 0.999849i \(0.505524\pi\)
\(432\) 68.9383 + 52.6527i 3.31680 + 2.53325i
\(433\) −10.2156 + 21.2129i −0.490930 + 1.01943i 0.497460 + 0.867487i \(0.334266\pi\)
−0.988390 + 0.151940i \(0.951448\pi\)
\(434\) −5.95048 + 19.4496i −0.285632 + 0.933613i
\(435\) 41.2764 35.1290i 1.97905 1.68431i
\(436\) 38.8195 + 18.6945i 1.85911 + 0.895302i
\(437\) 1.88126 1.74555i 0.0899927 0.0835010i
\(438\) −3.63619 + 18.6570i −0.173744 + 0.891464i
\(439\) 35.7471 14.0297i 1.70612 0.669602i 0.706831 0.707382i \(-0.250124\pi\)
0.999286 + 0.0377803i \(0.0120287\pi\)
\(440\) 30.7374 1.46535
\(441\) 16.3347 + 13.1976i 0.777843 + 0.628458i
\(442\) 22.9569 1.09195
\(443\) −13.0808 + 5.13384i −0.621488 + 0.243916i −0.655128 0.755518i \(-0.727385\pi\)
0.0336402 + 0.999434i \(0.489290\pi\)
\(444\) 12.1951 4.19231i 0.578752 0.198958i
\(445\) 6.96641 6.46388i 0.330239 0.306417i
\(446\) 28.9377 + 13.9357i 1.37024 + 0.659874i
\(447\) −5.76192 31.3941i −0.272530 1.48489i
\(448\) −88.1745 50.6376i −4.16585 2.39240i
\(449\) 3.43687 7.13672i 0.162196 0.336803i −0.803993 0.594639i \(-0.797295\pi\)
0.966189 + 0.257836i \(0.0830094\pi\)
\(450\) 23.1397 57.1090i 1.09082 2.69214i
\(451\) 4.38486 + 0.328600i 0.206475 + 0.0154732i
\(452\) 13.8439 + 11.0402i 0.651164 + 0.519286i
\(453\) 3.03765 5.67199i 0.142721 0.266493i
\(454\) 2.24950 0.882863i 0.105574 0.0414348i
\(455\) −35.6587 + 11.0891i −1.67171 + 0.519865i
\(456\) −20.8833 + 27.9734i −0.977948 + 1.30997i
\(457\) −2.10761 + 28.1240i −0.0985896 + 1.31559i 0.700187 + 0.713959i \(0.253100\pi\)
−0.798777 + 0.601628i \(0.794519\pi\)
\(458\) 42.7609 + 39.6763i 1.99809 + 1.85395i
\(459\) −10.4419 + 2.61456i −0.487388 + 0.122037i
\(460\) 22.2572 12.8502i 1.03775 0.599144i
\(461\) −14.2769 + 4.40385i −0.664944 + 0.205108i −0.608811 0.793315i \(-0.708353\pi\)
−0.0561327 + 0.998423i \(0.517877\pi\)
\(462\) 8.77043 + 6.51613i 0.408037 + 0.303158i
\(463\) 11.6608 + 3.59688i 0.541923 + 0.167161i 0.553618 0.832771i \(-0.313247\pi\)
−0.0116956 + 0.999932i \(0.503723\pi\)
\(464\) −144.506 + 32.9825i −6.70852 + 1.53118i
\(465\) 13.5899 + 10.1454i 0.630217 + 0.470482i
\(466\) −1.95858 2.45598i −0.0907293 0.113771i
\(467\) −10.7758 + 9.99845i −0.498643 + 0.462673i −0.888945 0.458014i \(-0.848561\pi\)
0.390302 + 0.920687i \(0.372371\pi\)
\(468\) −64.7272 20.7459i −2.99202 0.958981i
\(469\) 13.6773 + 10.8559i 0.631559 + 0.501280i
\(470\) 13.5156 + 43.8165i 0.623428 + 2.02111i
\(471\) −18.1541 + 4.75781i −0.836495 + 0.219228i
\(472\) 34.0519 19.6599i 1.56737 0.904919i
\(473\) 1.09803 + 3.55972i 0.0504873 + 0.163676i
\(474\) 32.4772 27.6403i 1.49173 1.26956i
\(475\) 13.7578 + 5.39955i 0.631252 + 0.247748i
\(476\) 28.8397 11.3953i 1.32187 0.522304i
\(477\) −30.4200 4.92692i −1.39284 0.225588i
\(478\) −79.3522 + 24.4769i −3.62949 + 1.11955i
\(479\) 17.1888 21.5541i 0.785376 0.984830i −0.214591 0.976704i \(-0.568842\pi\)
0.999967 0.00812586i \(-0.00258657\pi\)
\(480\) −120.656 + 102.687i −5.50719 + 4.68699i
\(481\) −4.12014 + 3.28570i −0.187862 + 0.149815i
\(482\) −1.57032 + 1.07062i −0.0715259 + 0.0487655i
\(483\) 5.86691 + 0.679975i 0.266954 + 0.0309399i
\(484\) −47.9505 32.6921i −2.17957 1.48600i
\(485\) −3.43142 + 0.257149i −0.155813 + 0.0116765i
\(486\) 43.0466 + 2.79433i 1.95264 + 0.126753i
\(487\) −4.81699 + 3.28417i −0.218278 + 0.148820i −0.667523 0.744589i \(-0.732646\pi\)
0.449245 + 0.893409i \(0.351693\pi\)
\(488\) 12.0241 + 30.6368i 0.544304 + 1.38686i
\(489\) 6.38553 + 24.3649i 0.288764 + 1.10182i
\(490\) −53.1818 + 42.8126i −2.40251 + 1.93408i
\(491\) 24.2588 + 14.0058i 1.09478 + 0.632074i 0.934846 0.355053i \(-0.115537\pi\)
0.159938 + 0.987127i \(0.448871\pi\)
\(492\) −40.4009 + 29.4764i −1.82142 + 1.32890i
\(493\) 7.98040 16.5715i 0.359419 0.746342i
\(494\) 6.50409 21.0857i 0.292633 0.948692i
\(495\) 7.58310 5.04912i 0.340835 0.226941i
\(496\) −20.1225 41.7848i −0.903527 1.87619i
\(497\) 0.153494 0.105168i 0.00688515 0.00471744i
\(498\) −38.1705 + 43.8660i −1.71046 + 1.96568i
\(499\) 12.0289 + 15.0837i 0.538486 + 0.675240i 0.974419 0.224739i \(-0.0721530\pi\)
−0.435933 + 0.899979i \(0.643582\pi\)
\(500\) 39.9108 + 27.2107i 1.78486 + 1.21690i
\(501\) 0.261452 + 2.44069i 0.0116808 + 0.109042i
\(502\) −22.7477 + 24.5162i −1.01528 + 1.09421i
\(503\) −19.2957 + 24.1960i −0.860351 + 1.07885i 0.135761 + 0.990742i \(0.456652\pi\)
−0.996111 + 0.0881041i \(0.971919\pi\)
\(504\) −80.1637 + 5.30895i −3.57077 + 0.236479i
\(505\) −38.7231 48.5573i −1.72316 2.16077i
\(506\) 3.06435 + 0.229641i 0.136227 + 0.0102088i
\(507\) 5.25732 0.167846i 0.233486 0.00745430i
\(508\) 33.5625 + 58.1319i 1.48909 + 2.57918i
\(509\) −19.1866 −0.850432 −0.425216 0.905092i \(-0.639802\pi\)
−0.425216 + 0.905092i \(0.639802\pi\)
\(510\) −1.11671 34.9780i −0.0494489 1.54885i
\(511\) −5.26709 9.07461i −0.233002 0.401437i
\(512\) 92.9325 21.2112i 4.10707 0.937413i
\(513\) −0.556934 + 10.3316i −0.0245892 + 0.456151i
\(514\) 5.23937 + 34.7610i 0.231099 + 1.53324i
\(515\) 39.2031 31.2634i 1.72749 1.37763i
\(516\) −35.7504 22.7379i −1.57382 1.00098i
\(517\) −1.19396 + 3.87074i −0.0525105 + 0.170235i
\(518\) −4.79814 + 8.35493i −0.210818 + 0.367094i
\(519\) 1.48369 + 2.39028i 0.0651266 + 0.104921i
\(520\) 71.4315 123.723i 3.13248 5.42561i
\(521\) −16.0629 + 27.8217i −0.703728 + 1.21889i 0.263421 + 0.964681i \(0.415149\pi\)
−0.967149 + 0.254211i \(0.918184\pi\)
\(522\) −50.7242 + 53.4790i −2.22014 + 2.34071i
\(523\) 4.71689 6.91841i 0.206255 0.302521i −0.709147 0.705060i \(-0.750920\pi\)
0.915403 + 0.402539i \(0.131872\pi\)
\(524\) −26.2006 + 66.7582i −1.14458 + 2.91634i
\(525\) 11.1317 + 32.1405i 0.485825 + 1.40273i
\(526\) −28.0707 71.5229i −1.22394 3.11855i
\(527\) 5.61073 + 1.28061i 0.244407 + 0.0557843i
\(528\) −24.7717 + 2.65360i −1.07805 + 0.115483i
\(529\) −19.2257 + 9.25860i −0.835899 + 0.402548i
\(530\) 36.6025 93.2616i 1.58991 4.05103i
\(531\) 5.17134 10.4438i 0.224417 0.453221i
\(532\) −2.29574 29.7176i −0.0995331 1.28842i
\(533\) 11.5127 16.8861i 0.498672 0.731418i
\(534\) −8.48347 + 9.74930i −0.367115 + 0.421894i
\(535\) 14.3864 + 15.5049i 0.621980 + 0.670335i
\(536\) −66.6170 + 4.99225i −2.87742 + 0.215633i
\(537\) 32.4396 3.47500i 1.39987 0.149957i
\(538\) −25.0020 + 14.4349i −1.07791 + 0.622333i
\(539\) −6.01223 + 0.478365i −0.258965 + 0.0206046i
\(540\) −28.4607 + 99.6300i −1.22475 + 4.28739i
\(541\) 38.0076 + 5.72873i 1.63408 + 0.246297i 0.900990 0.433840i \(-0.142842\pi\)
0.733085 + 0.680137i \(0.238080\pi\)
\(542\) −38.2230 18.4072i −1.64182 0.790658i
\(543\) −5.10696 0.219144i −0.219161 0.00940436i
\(544\) −23.3278 + 48.4406i −1.00017 + 2.07687i
\(545\) −2.00585 + 26.7661i −0.0859210 + 1.14654i
\(546\) 46.6103 20.1594i 1.99473 0.862741i
\(547\) −0.156141 2.08356i −0.00667611 0.0890866i 0.992870 0.119199i \(-0.0380326\pi\)
−0.999547 + 0.0301122i \(0.990414\pi\)
\(548\) 55.2884 + 21.6991i 2.36180 + 0.926939i
\(549\) 7.99900 + 5.58313i 0.341389 + 0.238282i
\(550\) 6.46545 + 16.4737i 0.275688 + 0.702440i
\(551\) −12.9598 12.0249i −0.552106 0.512279i
\(552\) −18.2533 + 13.3176i −0.776914 + 0.566833i
\(553\) −3.45508 + 23.2861i −0.146925 + 0.990227i
\(554\) 5.95049 + 39.4789i 0.252812 + 1.67730i
\(555\) 5.20664 + 6.11777i 0.221010 + 0.259685i
\(556\) 108.053 + 24.6624i 4.58247 + 1.04592i
\(557\) 8.61741 + 4.97526i 0.365131 + 0.210809i 0.671329 0.741159i \(-0.265724\pi\)
−0.306198 + 0.951968i \(0.599057\pi\)
\(558\) −19.8453 11.7498i −0.840120 0.497410i
\(559\) 16.8801 + 3.85278i 0.713954 + 0.162955i
\(560\) 22.8481 153.988i 0.965507 6.50720i
\(561\) 1.65912 2.60860i 0.0700481 0.110135i
\(562\) −7.43693 32.5833i −0.313708 1.37444i
\(563\) −13.4386 + 34.2409i −0.566368 + 1.44308i 0.304952 + 0.952368i \(0.401360\pi\)
−0.871320 + 0.490715i \(0.836736\pi\)
\(564\) −18.1914 42.3269i −0.765995 1.78228i
\(565\) −3.25140 + 10.5408i −0.136787 + 0.443454i
\(566\) −0.510207 2.23536i −0.0214456 0.0939592i
\(567\) −18.9047 + 14.4779i −0.793925 + 0.608016i
\(568\) −0.158397 + 0.693985i −0.00664621 + 0.0291190i
\(569\) −10.0620 5.80931i −0.421822 0.243539i 0.274035 0.961720i \(-0.411642\pi\)
−0.695856 + 0.718181i \(0.744975\pi\)
\(570\) −32.4434 8.88419i −1.35891 0.372118i
\(571\) −5.20004 + 1.60400i −0.217615 + 0.0671253i −0.401646 0.915795i \(-0.631562\pi\)
0.184031 + 0.982920i \(0.441085\pi\)
\(572\) 17.5880 8.46995i 0.735393 0.354146i
\(573\) 1.66676 14.0975i 0.0696298 0.588932i
\(574\) 8.23067 36.4470i 0.343541 1.52127i
\(575\) 7.47917 + 5.96444i 0.311903 + 0.248734i
\(576\) 79.3427 83.6518i 3.30595 3.48549i
\(577\) −12.7279 + 4.99533i −0.529870 + 0.207958i −0.615167 0.788397i \(-0.710911\pi\)
0.0852971 + 0.996356i \(0.472816\pi\)
\(578\) 15.2587 + 31.6850i 0.634678 + 1.31792i
\(579\) 21.0242 28.1622i 0.873735 1.17038i
\(580\) −99.7345 146.284i −4.14125 6.07409i
\(581\) −0.0737978 32.0978i −0.00306165 1.33164i
\(582\) 4.60260 0.844738i 0.190784 0.0350155i
\(583\) 7.31263 4.98567i 0.302858 0.206485i
\(584\) 38.3573 + 11.8317i 1.58724 + 0.489597i
\(585\) −2.70096 42.2569i −0.111671 1.74711i
\(586\) −7.32137 + 48.5741i −0.302443 + 2.00658i
\(587\) −14.1269 24.4685i −0.583080 1.00992i −0.995112 0.0987545i \(-0.968514\pi\)
0.412032 0.911169i \(-0.364819\pi\)
\(588\) 48.5477 48.4617i 2.00207 1.99853i
\(589\) 2.76585 4.79059i 0.113965 0.197393i
\(590\) 29.6222 + 23.6229i 1.21953 + 0.972541i
\(591\) 16.9697 19.5018i 0.698041 0.802197i
\(592\) −4.88850 21.4179i −0.200916 0.880270i
\(593\) 1.06628 + 14.2285i 0.0437867 + 0.584293i 0.975343 + 0.220695i \(0.0708326\pi\)
−0.931556 + 0.363598i \(0.881548\pi\)
\(594\) −9.52226 + 7.92564i −0.390703 + 0.325193i
\(595\) 13.1719 + 14.1306i 0.539995 + 0.579299i
\(596\) −103.969 + 7.79143i −4.25876 + 0.319150i
\(597\) −1.73783 + 14.6986i −0.0711246 + 0.601574i
\(598\) 8.04566 11.8008i 0.329011 0.482571i
\(599\) −0.505480 + 3.35364i −0.0206533 + 0.137026i −0.996781 0.0801711i \(-0.974453\pi\)
0.976128 + 0.217197i \(0.0696914\pi\)
\(600\) −114.710 61.4335i −4.68304 2.50801i
\(601\) −3.35996 + 22.2919i −0.137056 + 0.909304i 0.809583 + 0.587006i \(0.199693\pi\)
−0.946638 + 0.322298i \(0.895545\pi\)
\(602\) 31.2905 4.78989i 1.27531 0.195221i
\(603\) −15.6147 + 12.1745i −0.635881 + 0.495786i
\(604\) −17.3652 11.8394i −0.706578 0.481737i
\(605\) 8.04490 35.2470i 0.327072 1.43299i
\(606\) 59.3935 + 60.0486i 2.41269 + 2.43931i
\(607\) 13.6864i 0.555513i 0.960652 + 0.277756i \(0.0895908\pi\)
−0.960652 + 0.277756i \(0.910409\pi\)
\(608\) 37.8832 + 35.1505i 1.53637 + 1.42554i
\(609\) 1.65085 40.6536i 0.0668958 1.64737i
\(610\) −23.2478 + 21.5708i −0.941275 + 0.873376i
\(611\) 12.8056 + 13.8012i 0.518061 + 0.558337i
\(612\) 4.85883 + 34.8240i 0.196407 + 1.40768i
\(613\) −27.4151 + 4.13216i −1.10728 + 0.166896i −0.677133 0.735861i \(-0.736778\pi\)
−0.430151 + 0.902757i \(0.641540\pi\)
\(614\) 81.9191 + 25.2687i 3.30599 + 1.01976i
\(615\) −26.2883 16.7199i −1.06005 0.674210i
\(616\) 15.6551 16.9501i 0.630761 0.682941i
\(617\) −33.1841 + 35.7640i −1.33594 + 1.43980i −0.529743 + 0.848158i \(0.677712\pi\)
−0.806199 + 0.591645i \(0.798479\pi\)
\(618\) −48.4806 + 47.9517i −1.95018 + 1.92890i
\(619\) 6.11612i 0.245827i −0.992417 0.122914i \(-0.960776\pi\)
0.992417 0.122914i \(-0.0392238\pi\)
\(620\) 37.6795 40.6088i 1.51324 1.63089i
\(621\) −2.31558 + 6.28392i −0.0929209 + 0.252165i
\(622\) 15.0845 12.0295i 0.604834 0.482339i
\(623\) −0.0164017 7.13378i −0.000657120 0.285809i
\(624\) −46.8865 + 105.877i −1.87696 + 4.23846i
\(625\) 1.56214 6.84418i 0.0624856 0.273767i
\(626\) −30.5670 4.60723i −1.22170 0.184142i
\(627\) −1.92593 2.26295i −0.0769141 0.0903737i
\(628\) 9.13667 + 60.6178i 0.364593 + 2.41891i
\(629\) 2.45614 + 1.18281i 0.0979326 + 0.0471618i
\(630\) −32.9829 70.0366i −1.31407 2.79032i
\(631\) 41.1258 19.8052i 1.63719 0.788431i 0.637354 0.770571i \(-0.280029\pi\)
0.999841 0.0178597i \(-0.00568523\pi\)
\(632\) −50.7329 74.4115i −2.01805 2.95993i
\(633\) −10.2352 6.50976i −0.406812 0.258740i
\(634\) 5.57448 + 74.3863i 0.221391 + 2.95426i
\(635\) −26.0721 + 32.6933i −1.03464 + 1.29740i
\(636\) −26.5859 + 97.0867i −1.05420 + 3.84974i
\(637\) −12.0465 + 25.3118i −0.477298 + 1.00289i
\(638\) 21.1692i 0.838096i
\(639\) 0.0749207 + 0.197229i 0.00296382 + 0.00780227i
\(640\) 108.094 + 158.544i 4.27277 + 6.26701i
\(641\) 18.6271 4.25152i 0.735727 0.167925i 0.161791 0.986825i \(-0.448273\pi\)
0.573936 + 0.818900i \(0.305416\pi\)
\(642\) −21.6987 18.8814i −0.856379 0.745188i
\(643\) −24.4612 1.83311i −0.964655 0.0722909i −0.416920 0.908943i \(-0.636891\pi\)
−0.547734 + 0.836652i \(0.684510\pi\)
\(644\) 4.24971 18.8185i 0.167462 0.741554i
\(645\) 5.04913 25.9067i 0.198809 1.02007i
\(646\) −11.2873 + 1.70129i −0.444094 + 0.0669364i
\(647\) 2.32675 31.0483i 0.0914740 1.22064i −0.742887 0.669417i \(-0.766544\pi\)
0.834361 0.551218i \(-0.185837\pi\)
\(648\) 15.5499 89.7592i 0.610859 3.52607i
\(649\) 0.986557 + 3.19834i 0.0387258 + 0.125546i
\(650\) 81.3344 + 12.2592i 3.19020 + 0.480845i
\(651\) 12.5162 2.32693i 0.490550 0.0911995i
\(652\) 81.3562 12.2625i 3.18615 0.480235i
\(653\) −13.0319 27.0611i −0.509979 1.05898i −0.983951 0.178442i \(-0.942894\pi\)
0.473972 0.880540i \(-0.342820\pi\)
\(654\) −1.16476 36.4828i −0.0455455 1.42659i
\(655\) −44.6762 −1.74564
\(656\) 42.5990 + 73.7837i 1.66321 + 2.88077i
\(657\) 11.4065 3.38187i 0.445010 0.131939i
\(658\) 31.0463 + 14.8633i 1.21031 + 0.579431i
\(659\) 7.28604 + 7.85248i 0.283824 + 0.305889i 0.858831 0.512259i \(-0.171191\pi\)
−0.575007 + 0.818148i \(0.695001\pi\)
\(660\) −13.7607 26.3858i −0.535634 1.02707i
\(661\) 1.23424 + 0.484403i 0.0480063 + 0.0188411i 0.389223 0.921144i \(-0.372744\pi\)
−0.341216 + 0.939985i \(0.610839\pi\)
\(662\) 58.3753 + 22.9106i 2.26882 + 0.890446i
\(663\) −6.64437 12.7404i −0.258046 0.494797i
\(664\) 83.5226 + 90.0159i 3.24130 + 3.49329i
\(665\) 16.7107 8.09484i 0.648013 0.313904i
\(666\) −7.92638 7.51808i −0.307141 0.291320i
\(667\) −5.72157 9.91004i −0.221540 0.383718i
\(668\) 8.01806 0.310228
\(669\) −0.641492 20.0930i −0.0248015 0.776841i
\(670\) −27.9298 57.9969i −1.07902 2.24062i
\(671\) −2.77029 + 0.417554i −0.106946 + 0.0161195i
\(672\) −4.82565 + 118.836i −0.186154 + 4.58420i
\(673\) −11.3068 1.70423i −0.435846 0.0656932i −0.0725451 0.997365i \(-0.523112\pi\)
−0.363301 + 0.931672i \(0.618350\pi\)
\(674\) −13.5190 43.8275i −0.520733 1.68817i
\(675\) −38.3912 + 3.68707i −1.47768 + 0.141915i
\(676\) 1.28399 17.1336i 0.0493841 0.658985i
\(677\) −43.2881 + 6.52463i −1.66370 + 0.250762i −0.912429 0.409236i \(-0.865795\pi\)
−0.751268 + 0.659997i \(0.770557\pi\)
\(678\) 2.86963 14.7238i 0.110208 0.565465i
\(679\) −1.60587 + 2.02322i −0.0616277 + 0.0776442i
\(680\) −73.6967 5.52280i −2.82614 0.211790i
\(681\) −1.14103 0.992882i −0.0437245 0.0380473i
\(682\) 6.45762 1.47391i 0.247275 0.0564389i
\(683\) −22.7673 33.3934i −0.871165 1.27776i −0.959510 0.281674i \(-0.909110\pi\)
0.0883455 0.996090i \(-0.471842\pi\)
\(684\) 33.3622 + 5.40345i 1.27564 + 0.206606i
\(685\) 37.0003i 1.41371i
\(686\) −3.47734 + 51.1322i −0.132766 + 1.95224i
\(687\) 9.64303 35.2146i 0.367904 1.34352i
\(688\) −45.0027 + 56.4316i −1.71571 + 2.15144i
\(689\) −3.07408 41.0208i −0.117113 1.56277i
\(690\) −18.3716 11.6846i −0.699393 0.444827i
\(691\) 6.54970 + 9.60664i 0.249162 + 0.365454i 0.930361 0.366644i \(-0.119493\pi\)
−0.681199 + 0.732098i \(0.738541\pi\)
\(692\) 8.27957 3.98723i 0.314742 0.151572i
\(693\) 1.07786 6.75329i 0.0409444 0.256536i
\(694\) −31.6232 15.2289i −1.20040 0.578082i
\(695\) 10.2905 + 68.2729i 0.390340 + 2.58974i
\(696\) 100.884 + 118.538i 3.82399 + 4.49317i
\(697\) −10.4542 1.57571i −0.395980 0.0596844i
\(698\) 15.5967 68.3335i 0.590343 2.58646i
\(699\) −0.796130 + 1.79778i −0.0301124 + 0.0679984i
\(700\) 108.262 24.9721i 4.09192 0.943856i
\(701\) 12.0085 9.57646i 0.453555 0.361698i −0.369908 0.929068i \(-0.620611\pi\)
0.823463 + 0.567371i \(0.192039\pi\)
\(702\) 9.77292 + 56.7471i 0.368855 + 2.14178i
\(703\) 1.78227 1.92083i 0.0672197 0.0724456i
\(704\) 33.1128i 1.24799i
\(705\) 20.4051 20.1825i 0.768502 0.760118i
\(706\) −19.7330 + 21.2671i −0.742659 + 0.800396i
\(707\) −46.4992 3.37714i −1.74878 0.127010i
\(708\) −32.1211 20.4296i −1.20718 0.767791i
\(709\) −24.8364 7.66101i −0.932750 0.287715i −0.209109 0.977892i \(-0.567056\pi\)
−0.723641 + 0.690177i \(0.757533\pi\)
\(710\) −0.678256 + 0.102231i −0.0254545 + 0.00383665i
\(711\) −24.7394 10.0240i −0.927800 0.375931i
\(712\) 18.5630 + 20.0062i 0.695679 + 0.749763i
\(713\) 2.62467 2.43534i 0.0982947 0.0912042i
\(714\) −19.8574 17.1990i −0.743143 0.643658i
\(715\) 8.91465 + 8.27159i 0.333389 + 0.309340i
\(716\) 106.570i 3.98269i
\(717\) 36.5508 + 36.9539i 1.36501 + 1.38007i
\(718\) −22.7939 + 99.8665i −0.850660 + 3.72698i
\(719\) −17.6896 12.0606i −0.659713 0.449784i 0.186625 0.982431i \(-0.440245\pi\)
−0.846338 + 0.532647i \(0.821197\pi\)
\(720\) 163.599 + 66.2878i 6.09697 + 2.47040i
\(721\) 2.72656 37.5415i 0.101542 1.39812i
\(722\) 6.20105 41.1413i 0.230779 1.53112i
\(723\) 1.04866 + 0.561612i 0.0390001 + 0.0208866i
\(724\) −2.48858 + 16.5106i −0.0924872 + 0.613612i
\(725\) 37.1232 54.4498i 1.37872 2.02221i
\(726\) −5.77262 + 48.8251i −0.214242 + 1.81207i
\(727\) 40.5397 3.03803i 1.50353 0.112674i 0.702667 0.711519i \(-0.251992\pi\)
0.800865 + 0.598845i \(0.204373\pi\)
\(728\) −31.8458 102.405i −1.18028 3.79538i
\(729\) −10.9081 24.6984i −0.404005 0.914757i
\(730\) 2.89050 + 38.5711i 0.106982 + 1.42758i
\(731\) −1.99305 8.73213i −0.0737157 0.322970i
\(732\) 20.9164 24.0374i 0.773094 0.888448i
\(733\) −17.2619 13.7659i −0.637584 0.508456i 0.250513 0.968113i \(-0.419401\pi\)
−0.888096 + 0.459657i \(0.847972\pi\)
\(734\) 50.1750 86.9056i 1.85199 3.20774i
\(735\) 39.1521 + 17.1232i 1.44415 + 0.631599i
\(736\) 16.7249 + 28.9684i 0.616488 + 1.06779i
\(737\) 0.847541 5.62306i 0.0312196 0.207128i
\(738\) 37.9680 + 18.8002i 1.39762 + 0.692047i
\(739\) 14.7794 + 4.55885i 0.543670 + 0.167700i 0.554412 0.832242i \(-0.312943\pi\)
−0.0107423 + 0.999942i \(0.503419\pi\)
\(740\) 21.6814 14.7821i 0.797023 0.543401i
\(741\) −13.5845 + 2.49322i −0.499037 + 0.0915908i
\(742\) −32.7868 67.6841i −1.20364 2.48476i
\(743\) −12.0480 17.6712i −0.441998 0.648292i 0.539001 0.842305i \(-0.318802\pi\)
−0.980999 + 0.194013i \(0.937850\pi\)
\(744\) −29.1357 + 39.0276i −1.06817 + 1.43082i
\(745\) −28.1811 58.5186i −1.03247 2.14396i
\(746\) −8.28121 + 3.25014i −0.303197 + 0.118996i
\(747\) 35.3921 + 8.48749i 1.29493 + 0.310541i
\(748\) −7.89523 6.29624i −0.288678 0.230213i
\(749\) 15.8774 0.0365047i 0.580148 0.00133385i
\(750\) 4.80474 40.6387i 0.175444 1.48392i
\(751\) −15.8024 + 7.61002i −0.576637 + 0.277694i −0.699386 0.714744i \(-0.746543\pi\)
0.122749 + 0.992438i \(0.460829\pi\)
\(752\) −74.9984 + 23.1339i −2.73491 + 0.843608i
\(753\) 20.1896 + 5.52866i 0.735751 + 0.201475i
\(754\) −85.2093 49.1956i −3.10314 1.79160i
\(755\) 2.91344 12.7646i 0.106031 0.464552i
\(756\) 40.4454 + 66.4378i 1.47099 + 2.41632i
\(757\) −4.88622 21.4079i −0.177593 0.778085i −0.982737 0.185006i \(-0.940769\pi\)
0.805145 0.593079i \(-0.202088\pi\)
\(758\) −9.89507 + 32.0790i −0.359405 + 1.16516i
\(759\) −0.759465 1.76709i −0.0275668 0.0641414i
\(760\) −25.9522 + 66.1252i −0.941386 + 2.39861i
\(761\) 7.58115 + 33.2152i 0.274816 + 1.20405i 0.904253 + 0.426997i \(0.140429\pi\)
−0.629436 + 0.777052i \(0.716714\pi\)
\(762\) 30.5182 47.9832i 1.10556 1.73825i
\(763\) 13.7386 + 14.7385i 0.497369 + 0.533571i
\(764\) −45.2073 10.3183i −1.63554 0.373302i
\(765\) −19.0886 + 10.7434i −0.690149 + 0.388427i
\(766\) −61.3954 35.4466i −2.21830 1.28074i
\(767\) 15.1665 + 3.46165i 0.547630 + 0.124993i
\(768\) −82.8402 97.3367i −2.98924 3.51234i
\(769\) −3.65630 24.2580i −0.131850 0.874766i −0.952763 0.303713i \(-0.901773\pi\)
0.820914 0.571052i \(-0.193465\pi\)
\(770\) 20.7152 + 8.07521i 0.746525 + 0.291010i
\(771\) 17.7749 12.9685i 0.640148