Properties

Label 31.2.g.a.7.2
Level 31
Weight 2
Character 31.7
Analytic conductor 0.248
Analytic rank 0
Dimension 16
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 31.g (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(0.247536246266\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(2\) over \(\Q(\zeta_{15})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 7.2
Root \(0.176392i\)
Character \(\chi\) = 31.7
Dual form 31.2.g.a.9.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.380762 + 1.17187i) q^{2} +(-2.02963 + 0.431412i) q^{3} +(0.389745 - 0.283166i) q^{4} +(0.772811 - 1.33855i) q^{5} +(-1.27836 - 2.21419i) q^{6} +(-3.47491 - 1.54713i) q^{7} +(2.47393 + 1.79742i) q^{8} +(1.19265 - 0.531003i) q^{9} +O(q^{10})\) \(q+(0.380762 + 1.17187i) q^{2} +(-2.02963 + 0.431412i) q^{3} +(0.389745 - 0.283166i) q^{4} +(0.772811 - 1.33855i) q^{5} +(-1.27836 - 2.21419i) q^{6} +(-3.47491 - 1.54713i) q^{7} +(2.47393 + 1.79742i) q^{8} +(1.19265 - 0.531003i) q^{9} +(1.86286 + 0.395962i) q^{10} +(0.393186 + 3.74092i) q^{11} +(-0.668878 + 0.742864i) q^{12} +(-1.76320 - 1.95823i) q^{13} +(0.489913 - 4.66121i) q^{14} +(-0.991057 + 3.05016i) q^{15} +(-0.866611 + 2.66715i) q^{16} +(-0.394526 + 3.75366i) q^{17} +(1.07638 + 1.19544i) q^{18} +(4.08057 - 4.53193i) q^{19} +(-0.0778325 - 0.740527i) q^{20} +(7.72023 + 1.64099i) q^{21} +(-4.23414 + 1.88516i) q^{22} +(-0.736082 - 0.534795i) q^{23} +(-5.79659 - 2.58081i) q^{24} +(1.30553 + 2.26124i) q^{25} +(1.62343 - 2.81186i) q^{26} +(2.84451 - 2.06665i) q^{27} +(-1.79242 + 0.380991i) q^{28} +(-2.10397 - 6.47535i) q^{29} -3.95173 q^{30} +(-3.88819 + 3.98522i) q^{31} +2.66037 q^{32} +(-2.41190 - 7.42306i) q^{33} +(-4.54901 + 0.966922i) q^{34} +(-4.75635 + 3.45569i) q^{35} +(0.314468 - 0.544675i) q^{36} +(0.907032 + 1.57103i) q^{37} +(6.86454 + 3.05629i) q^{38} +(4.42345 + 3.21383i) q^{39} +(4.31781 - 1.92241i) q^{40} +(-0.329777 - 0.0700963i) q^{41} +(1.01656 + 9.67189i) q^{42} +(2.59890 - 2.88637i) q^{43} +(1.21255 + 1.34667i) q^{44} +(0.210922 - 2.00679i) q^{45} +(0.346435 - 1.06622i) q^{46} +(-0.367467 + 1.13095i) q^{47} +(0.608260 - 5.78721i) q^{48} +(4.99745 + 5.55023i) q^{49} +(-2.15277 + 2.39089i) q^{50} +(-0.818631 - 7.78876i) q^{51} +(-1.24171 - 0.263933i) q^{52} +(-2.14147 + 0.953442i) q^{53} +(3.50492 + 2.54647i) q^{54} +(5.31126 + 2.36473i) q^{55} +(-5.81584 - 10.0733i) q^{56} +(-6.32692 + 10.9586i) q^{57} +(6.78713 - 4.93114i) q^{58} +(-7.60885 + 1.61731i) q^{59} +(0.477443 + 1.46942i) q^{60} -2.72343 q^{61} +(-6.15062 - 3.03901i) q^{62} -4.96588 q^{63} +(2.74619 + 8.45191i) q^{64} +(-3.98381 + 0.846786i) q^{65} +(7.78047 - 5.65284i) q^{66} +(3.71059 - 6.42693i) q^{67} +(0.909147 + 1.57469i) q^{68} +(1.72469 + 0.767882i) q^{69} +(-5.86065 - 4.25801i) q^{70} +(-4.65742 + 2.07362i) q^{71} +(3.90497 + 0.830027i) q^{72} +(-0.563591 - 5.36221i) q^{73} +(-1.49567 + 1.66111i) q^{74} +(-3.62526 - 4.02626i) q^{75} +(0.307091 - 2.92178i) q^{76} +(4.42139 - 13.6076i) q^{77} +(-2.08189 + 6.40740i) q^{78} +(1.01782 - 9.68388i) q^{79} +(2.90039 + 3.22121i) q^{80} +(-7.50241 + 8.33227i) q^{81} +(-0.0434232 - 0.413145i) q^{82} +(8.21169 + 1.74545i) q^{83} +(3.47359 - 1.54654i) q^{84} +(4.71957 + 3.42897i) q^{85} +(4.37200 + 1.94654i) q^{86} +(7.06383 + 12.2349i) q^{87} +(-5.75127 + 9.96149i) q^{88} +(-4.12243 + 2.99512i) q^{89} +(2.43200 - 0.516937i) q^{90} +(3.09732 + 9.53258i) q^{91} -0.438320 q^{92} +(6.17231 - 9.76595i) q^{93} -1.46523 q^{94} +(-2.91270 - 8.96437i) q^{95} +(-5.39957 + 1.14771i) q^{96} +(-8.82979 + 6.41522i) q^{97} +(-4.60129 + 7.96966i) q^{98} +(2.45537 + 4.25283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 6q^{2} - 12q^{3} - 14q^{4} - 3q^{5} + 11q^{6} + 2q^{7} + 17q^{8} - 10q^{9} + O(q^{10}) \) \( 16q - 6q^{2} - 12q^{3} - 14q^{4} - 3q^{5} + 11q^{6} + 2q^{7} + 17q^{8} - 10q^{9} - 2q^{10} - 7q^{11} + 5q^{12} - 7q^{13} - 6q^{14} + 14q^{15} - 2q^{16} - 6q^{17} - 3q^{18} + 16q^{19} + 37q^{20} + 9q^{21} + 9q^{22} + q^{23} - 20q^{24} - 13q^{25} + 9q^{26} + 9q^{27} - 30q^{28} - 14q^{29} - 22q^{30} + 15q^{31} - 42q^{32} - 13q^{33} - 32q^{34} - 9q^{35} + q^{36} - 8q^{37} + 8q^{38} - 3q^{39} - q^{40} - 8q^{41} + 69q^{42} + 23q^{43} + 39q^{44} + 65q^{45} + 34q^{46} + 14q^{47} + 34q^{48} + 2q^{49} + 3q^{50} - 42q^{51} + 29q^{52} + 6q^{53} - 46q^{54} - 7q^{55} - 30q^{56} - 17q^{57} - 15q^{58} + 4q^{59} - 75q^{60} - 60q^{61} - 25q^{62} - 46q^{63} + 23q^{64} - 12q^{65} - 30q^{66} + 13q^{67} + 30q^{68} + 38q^{69} + 12q^{70} - 14q^{71} + 37q^{72} + 2q^{73} + 13q^{74} + 13q^{75} - 12q^{76} + 18q^{77} - 15q^{78} + 18q^{79} + 36q^{80} + 23q^{81} + 14q^{82} - 16q^{83} + 8q^{84} + 37q^{85} - 26q^{86} + 15q^{87} - 17q^{88} + q^{89} - 23q^{90} + 8q^{91} - 64q^{92} + 17q^{93} + 44q^{94} - 22q^{95} + 8q^{96} + 3q^{97} - 10q^{98} + 6q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/31\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{14}{15}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.380762 + 1.17187i 0.269240 + 0.828634i 0.990686 + 0.136164i \(0.0434774\pi\)
−0.721447 + 0.692470i \(0.756523\pi\)
\(3\) −2.02963 + 0.431412i −1.17181 + 0.249076i −0.752390 0.658718i \(-0.771099\pi\)
−0.419418 + 0.907793i \(0.637766\pi\)
\(4\) 0.389745 0.283166i 0.194873 0.141583i
\(5\) 0.772811 1.33855i 0.345612 0.598617i −0.639853 0.768497i \(-0.721005\pi\)
0.985465 + 0.169880i \(0.0543381\pi\)
\(6\) −1.27836 2.21419i −0.521890 0.903939i
\(7\) −3.47491 1.54713i −1.31339 0.584759i −0.373943 0.927452i \(-0.621995\pi\)
−0.939448 + 0.342692i \(0.888661\pi\)
\(8\) 2.47393 + 1.79742i 0.874666 + 0.635482i
\(9\) 1.19265 0.531003i 0.397551 0.177001i
\(10\) 1.86286 + 0.395962i 0.589087 + 0.125214i
\(11\) 0.393186 + 3.74092i 0.118550 + 1.12793i 0.878432 + 0.477868i \(0.158590\pi\)
−0.759882 + 0.650061i \(0.774743\pi\)
\(12\) −0.668878 + 0.742864i −0.193088 + 0.214446i
\(13\) −1.76320 1.95823i −0.489024 0.543116i 0.447240 0.894414i \(-0.352407\pi\)
−0.936264 + 0.351298i \(0.885740\pi\)
\(14\) 0.489913 4.66121i 0.130935 1.24576i
\(15\) −0.991057 + 3.05016i −0.255890 + 0.787548i
\(16\) −0.866611 + 2.66715i −0.216653 + 0.666789i
\(17\) −0.394526 + 3.75366i −0.0956866 + 0.910397i 0.836390 + 0.548135i \(0.184662\pi\)
−0.932076 + 0.362262i \(0.882005\pi\)
\(18\) 1.07638 + 1.19544i 0.253705 + 0.281768i
\(19\) 4.08057 4.53193i 0.936147 1.03970i −0.0629842 0.998015i \(-0.520062\pi\)
0.999131 0.0416817i \(-0.0132716\pi\)
\(20\) −0.0778325 0.740527i −0.0174039 0.165587i
\(21\) 7.72023 + 1.64099i 1.68469 + 0.358092i
\(22\) −4.23414 + 1.88516i −0.902722 + 0.401918i
\(23\) −0.736082 0.534795i −0.153484 0.111512i 0.508393 0.861125i \(-0.330240\pi\)
−0.661877 + 0.749613i \(0.730240\pi\)
\(24\) −5.79659 2.58081i −1.18322 0.526805i
\(25\) 1.30553 + 2.26124i 0.261105 + 0.452247i
\(26\) 1.62343 2.81186i 0.318380 0.551450i
\(27\) 2.84451 2.06665i 0.547425 0.397728i
\(28\) −1.79242 + 0.380991i −0.338736 + 0.0720006i
\(29\) −2.10397 6.47535i −0.390697 1.20244i −0.932262 0.361784i \(-0.882168\pi\)
0.541565 0.840659i \(-0.317832\pi\)
\(30\) −3.95173 −0.721485
\(31\) −3.88819 + 3.98522i −0.698339 + 0.715767i
\(32\) 2.66037 0.470292
\(33\) −2.41190 7.42306i −0.419858 1.29219i
\(34\) −4.54901 + 0.966922i −0.780149 + 0.165826i
\(35\) −4.75635 + 3.45569i −0.803970 + 0.584119i
\(36\) 0.314468 0.544675i 0.0524114 0.0907792i
\(37\) 0.907032 + 1.57103i 0.149115 + 0.258275i 0.930901 0.365272i \(-0.119024\pi\)
−0.781786 + 0.623547i \(0.785691\pi\)
\(38\) 6.86454 + 3.05629i 1.11358 + 0.495796i
\(39\) 4.42345 + 3.21383i 0.708320 + 0.514624i
\(40\) 4.31781 1.92241i 0.682705 0.303960i
\(41\) −0.329777 0.0700963i −0.0515026 0.0109472i 0.182088 0.983282i \(-0.441714\pi\)
−0.233591 + 0.972335i \(0.575048\pi\)
\(42\) 1.01656 + 9.67189i 0.156858 + 1.49241i
\(43\) 2.59890 2.88637i 0.396329 0.440167i −0.511644 0.859198i \(-0.670963\pi\)
0.907972 + 0.419030i \(0.137630\pi\)
\(44\) 1.21255 + 1.34667i 0.182798 + 0.203018i
\(45\) 0.210922 2.00679i 0.0314424 0.299154i
\(46\) 0.346435 1.06622i 0.0510791 0.157205i
\(47\) −0.367467 + 1.13095i −0.0536005 + 0.164965i −0.974273 0.225370i \(-0.927641\pi\)
0.920673 + 0.390335i \(0.127641\pi\)
\(48\) 0.608260 5.78721i 0.0877948 0.835311i
\(49\) 4.99745 + 5.55023i 0.713922 + 0.792890i
\(50\) −2.15277 + 2.39089i −0.304448 + 0.338123i
\(51\) −0.818631 7.78876i −0.114631 1.09064i
\(52\) −1.24171 0.263933i −0.172194 0.0366009i
\(53\) −2.14147 + 0.953442i −0.294153 + 0.130965i −0.548507 0.836146i \(-0.684804\pi\)
0.254354 + 0.967111i \(0.418137\pi\)
\(54\) 3.50492 + 2.54647i 0.476959 + 0.346531i
\(55\) 5.31126 + 2.36473i 0.716170 + 0.318859i
\(56\) −5.81584 10.0733i −0.777175 1.34611i
\(57\) −6.32692 + 10.9586i −0.838022 + 1.45150i
\(58\) 6.78713 4.93114i 0.891194 0.647490i
\(59\) −7.60885 + 1.61731i −0.990587 + 0.210556i −0.674581 0.738201i \(-0.735676\pi\)
−0.316007 + 0.948757i \(0.602342\pi\)
\(60\) 0.477443 + 1.46942i 0.0616377 + 0.189701i
\(61\) −2.72343 −0.348700 −0.174350 0.984684i \(-0.555782\pi\)
−0.174350 + 0.984684i \(0.555782\pi\)
\(62\) −6.15062 3.03901i −0.781130 0.385954i
\(63\) −4.96588 −0.625642
\(64\) 2.74619 + 8.45191i 0.343274 + 1.05649i
\(65\) −3.98381 + 0.846786i −0.494131 + 0.105031i
\(66\) 7.78047 5.65284i 0.957709 0.695817i
\(67\) 3.71059 6.42693i 0.453321 0.785175i −0.545269 0.838261i \(-0.683573\pi\)
0.998590 + 0.0530864i \(0.0169059\pi\)
\(68\) 0.909147 + 1.57469i 0.110250 + 0.190959i
\(69\) 1.72469 + 0.767882i 0.207628 + 0.0924421i
\(70\) −5.86065 4.25801i −0.700481 0.508929i
\(71\) −4.65742 + 2.07362i −0.552734 + 0.246093i −0.664045 0.747693i \(-0.731162\pi\)
0.111311 + 0.993786i \(0.464495\pi\)
\(72\) 3.90497 + 0.830027i 0.460205 + 0.0978196i
\(73\) −0.563591 5.36221i −0.0659633 0.627599i −0.976700 0.214611i \(-0.931152\pi\)
0.910736 0.412988i \(-0.135515\pi\)
\(74\) −1.49567 + 1.66111i −0.173868 + 0.193100i
\(75\) −3.62526 4.02626i −0.418609 0.464912i
\(76\) 0.307091 2.92178i 0.0352258 0.335151i
\(77\) 4.42139 13.6076i 0.503865 1.55074i
\(78\) −2.08189 + 6.40740i −0.235728 + 0.725495i
\(79\) 1.01782 9.68388i 0.114513 1.08952i −0.774795 0.632213i \(-0.782147\pi\)
0.889308 0.457309i \(-0.151187\pi\)
\(80\) 2.90039 + 3.22121i 0.324273 + 0.360142i
\(81\) −7.50241 + 8.33227i −0.833601 + 0.925808i
\(82\) −0.0434232 0.413145i −0.00479530 0.0456242i
\(83\) 8.21169 + 1.74545i 0.901350 + 0.191588i 0.635204 0.772345i \(-0.280916\pi\)
0.266147 + 0.963933i \(0.414249\pi\)
\(84\) 3.47359 1.54654i 0.379000 0.168742i
\(85\) 4.71957 + 3.42897i 0.511909 + 0.371924i
\(86\) 4.37200 + 1.94654i 0.471445 + 0.209901i
\(87\) 7.06383 + 12.2349i 0.757322 + 1.31172i
\(88\) −5.75127 + 9.96149i −0.613087 + 1.06190i
\(89\) −4.12243 + 2.99512i −0.436976 + 0.317482i −0.784432 0.620214i \(-0.787046\pi\)
0.347456 + 0.937696i \(0.387046\pi\)
\(90\) 2.43200 0.516937i 0.256355 0.0544899i
\(91\) 3.09732 + 9.53258i 0.324688 + 0.999285i
\(92\) −0.438320 −0.0456980
\(93\) 6.17231 9.76595i 0.640039 1.01268i
\(94\) −1.46523 −0.151127
\(95\) −2.91270 8.96437i −0.298837 0.919725i
\(96\) −5.39957 + 1.14771i −0.551092 + 0.117138i
\(97\) −8.82979 + 6.41522i −0.896530 + 0.651367i −0.937572 0.347791i \(-0.886932\pi\)
0.0410427 + 0.999157i \(0.486932\pi\)
\(98\) −4.60129 + 7.96966i −0.464800 + 0.805057i
\(99\) 2.45537 + 4.25283i 0.246774 + 0.427426i
\(100\) 1.14913 + 0.511625i 0.114913 + 0.0511625i
\(101\) 0.322577 + 0.234366i 0.0320976 + 0.0233203i 0.603718 0.797198i \(-0.293685\pi\)
−0.571621 + 0.820518i \(0.693685\pi\)
\(102\) 8.81567 3.92499i 0.872881 0.388632i
\(103\) −3.20520 0.681286i −0.315817 0.0671291i 0.0472758 0.998882i \(-0.484946\pi\)
−0.363093 + 0.931753i \(0.618279\pi\)
\(104\) −0.842278 8.01374i −0.0825921 0.785812i
\(105\) 8.16282 9.06573i 0.796609 0.884724i
\(106\) −1.93269 2.14647i −0.187720 0.208484i
\(107\) −0.329980 + 3.13955i −0.0319004 + 0.303512i 0.966925 + 0.255060i \(0.0820953\pi\)
−0.998826 + 0.0484517i \(0.984571\pi\)
\(108\) 0.523425 1.61094i 0.0503666 0.155013i
\(109\) 2.14959 6.61576i 0.205893 0.633675i −0.793782 0.608202i \(-0.791891\pi\)
0.999676 0.0254724i \(-0.00810899\pi\)
\(110\) −0.748813 + 7.12448i −0.0713965 + 0.679292i
\(111\) −2.51870 2.79730i −0.239064 0.265508i
\(112\) 7.13782 7.92735i 0.674461 0.749064i
\(113\) 1.59372 + 15.1633i 0.149925 + 1.42644i 0.768065 + 0.640372i \(0.221220\pi\)
−0.618140 + 0.786068i \(0.712114\pi\)
\(114\) −15.2510 3.24170i −1.42839 0.303613i
\(115\) −1.28470 + 0.571986i −0.119799 + 0.0533379i
\(116\) −2.65362 1.92796i −0.246382 0.179007i
\(117\) −3.14271 1.39923i −0.290544 0.129359i
\(118\) −4.79243 8.30073i −0.441179 0.764144i
\(119\) 7.17834 12.4332i 0.658037 1.13975i
\(120\) −7.93421 + 5.76454i −0.724291 + 0.526228i
\(121\) −3.08025 + 0.654727i −0.280023 + 0.0595207i
\(122\) −1.03698 3.19150i −0.0938838 0.288945i
\(123\) 0.699567 0.0630778
\(124\) −0.386920 + 2.65423i −0.0347464 + 0.238357i
\(125\) 11.7638 1.05219
\(126\) −1.89082 5.81935i −0.168448 0.518429i
\(127\) 19.7844 4.20530i 1.75558 0.373160i 0.786055 0.618156i \(-0.212120\pi\)
0.969524 + 0.244996i \(0.0787867\pi\)
\(128\) −4.55428 + 3.30888i −0.402545 + 0.292466i
\(129\) −4.02960 + 6.97946i −0.354786 + 0.614508i
\(130\) −2.50920 4.34607i −0.220072 0.381175i
\(131\) 11.5575 + 5.14574i 1.00979 + 0.449585i 0.843866 0.536554i \(-0.180274\pi\)
0.165919 + 0.986139i \(0.446941\pi\)
\(132\) −3.04199 2.21013i −0.264771 0.192367i
\(133\) −21.1911 + 9.43487i −1.83750 + 0.818107i
\(134\) 8.94435 + 1.90118i 0.772674 + 0.164237i
\(135\) −0.568051 5.40464i −0.0488900 0.465158i
\(136\) −7.72292 + 8.57717i −0.662235 + 0.735486i
\(137\) −6.60968 7.34079i −0.564703 0.627166i 0.391392 0.920224i \(-0.371994\pi\)
−0.956095 + 0.293058i \(0.905327\pi\)
\(138\) −0.243157 + 2.31349i −0.0206989 + 0.196937i
\(139\) −4.78945 + 14.7404i −0.406236 + 1.25026i 0.513623 + 0.858016i \(0.328303\pi\)
−0.919859 + 0.392249i \(0.871697\pi\)
\(140\) −0.875229 + 2.69368i −0.0739704 + 0.227657i
\(141\) 0.257919 2.45393i 0.0217207 0.206658i
\(142\) −4.20337 4.66831i −0.352739 0.391756i
\(143\) 6.63233 7.36594i 0.554623 0.615971i
\(144\) 0.382701 + 3.64116i 0.0318918 + 0.303430i
\(145\) −10.2935 2.18796i −0.854833 0.181700i
\(146\) 6.06919 2.70218i 0.502290 0.223634i
\(147\) −12.5374 9.10897i −1.03407 0.751295i
\(148\) 0.798373 + 0.355459i 0.0656259 + 0.0292185i
\(149\) 7.62162 + 13.2010i 0.624388 + 1.08147i 0.988659 + 0.150178i \(0.0479848\pi\)
−0.364271 + 0.931293i \(0.618682\pi\)
\(150\) 3.33787 5.78136i 0.272536 0.472046i
\(151\) 0.211823 0.153899i 0.0172379 0.0125241i −0.579133 0.815233i \(-0.696609\pi\)
0.596371 + 0.802709i \(0.296609\pi\)
\(152\) 18.2408 3.87720i 1.47952 0.314483i
\(153\) 1.52267 + 4.68631i 0.123101 + 0.378866i
\(154\) 17.6298 1.42065
\(155\) 2.32958 + 8.28435i 0.187117 + 0.665415i
\(156\) 2.63407 0.210894
\(157\) 4.92157 + 15.1470i 0.392784 + 1.20886i 0.930674 + 0.365850i \(0.119222\pi\)
−0.537890 + 0.843015i \(0.680778\pi\)
\(158\) 11.7358 2.49451i 0.933647 0.198453i
\(159\) 3.93506 2.85899i 0.312071 0.226733i
\(160\) 2.05597 3.56104i 0.162538 0.281525i
\(161\) 1.73042 + 2.99717i 0.136376 + 0.236210i
\(162\) −12.6209 5.61920i −0.991594 0.441486i
\(163\) 0.107741 + 0.0782785i 0.00843894 + 0.00613125i 0.591997 0.805940i \(-0.298340\pi\)
−0.583558 + 0.812072i \(0.698340\pi\)
\(164\) −0.148378 + 0.0660621i −0.0115864 + 0.00515859i
\(165\) −11.8001 2.50818i −0.918634 0.195262i
\(166\) 1.08127 + 10.2876i 0.0839228 + 0.798472i
\(167\) −2.64225 + 2.93451i −0.204463 + 0.227080i −0.836652 0.547735i \(-0.815490\pi\)
0.632188 + 0.774815i \(0.282157\pi\)
\(168\) 16.1498 + 17.9361i 1.24598 + 1.38380i
\(169\) 0.633070 6.02326i 0.0486977 0.463328i
\(170\) −2.22125 + 6.83632i −0.170362 + 0.524322i
\(171\) 2.46023 7.57181i 0.188139 0.579031i
\(172\) 0.195585 1.86087i 0.0149132 0.141890i
\(173\) −9.67358 10.7436i −0.735469 0.816821i 0.253124 0.967434i \(-0.418542\pi\)
−0.988593 + 0.150613i \(0.951875\pi\)
\(174\) −11.6480 + 12.9364i −0.883035 + 0.980709i
\(175\) −1.03816 9.87740i −0.0784772 0.746661i
\(176\) −10.3183 2.19323i −0.777775 0.165321i
\(177\) 14.7454 6.56509i 1.10833 0.493462i
\(178\) −5.07954 3.69050i −0.380727 0.276615i
\(179\) −16.1879 7.20733i −1.20994 0.538701i −0.300201 0.953876i \(-0.597054\pi\)
−0.909741 + 0.415175i \(0.863720\pi\)
\(180\) −0.486049 0.841862i −0.0362280 0.0627487i
\(181\) 6.02958 10.4435i 0.448175 0.776262i −0.550092 0.835104i \(-0.685407\pi\)
0.998267 + 0.0588418i \(0.0187408\pi\)
\(182\) −9.99155 + 7.25929i −0.740623 + 0.538094i
\(183\) 5.52757 1.17492i 0.408609 0.0868526i
\(184\) −0.859766 2.64609i −0.0633828 0.195072i
\(185\) 2.80386 0.206144
\(186\) 13.7946 + 3.51462i 1.01147 + 0.257704i
\(187\) −14.1973 −1.03821
\(188\) 0.177028 + 0.544835i 0.0129111 + 0.0397362i
\(189\) −13.0818 + 2.78062i −0.951559 + 0.202260i
\(190\) 9.39599 6.82658i 0.681656 0.495252i
\(191\) −2.53576 + 4.39207i −0.183481 + 0.317799i −0.943064 0.332612i \(-0.892070\pi\)
0.759583 + 0.650411i \(0.225403\pi\)
\(192\) −9.22001 15.9695i −0.665397 1.15250i
\(193\) −18.3090 8.15171i −1.31791 0.586773i −0.377250 0.926112i \(-0.623130\pi\)
−0.940664 + 0.339339i \(0.889797\pi\)
\(194\) −10.8798 7.90466i −0.781126 0.567521i
\(195\) 7.72036 3.43733i 0.552866 0.246152i
\(196\) 3.51937 + 0.748066i 0.251384 + 0.0534333i
\(197\) −2.26914 21.5894i −0.161670 1.53818i −0.711367 0.702820i \(-0.751924\pi\)
0.549698 0.835364i \(-0.314743\pi\)
\(198\) −4.04883 + 4.49668i −0.287738 + 0.319565i
\(199\) 10.1477 + 11.2702i 0.719352 + 0.798921i 0.986330 0.164781i \(-0.0526919\pi\)
−0.266978 + 0.963703i \(0.586025\pi\)
\(200\) −0.834602 + 7.94071i −0.0590153 + 0.561493i
\(201\) −4.75848 + 14.6451i −0.335637 + 1.03299i
\(202\) −0.151820 + 0.467255i −0.0106820 + 0.0328759i
\(203\) −2.70710 + 25.7564i −0.190001 + 1.80774i
\(204\) −2.52457 2.80382i −0.176755 0.196307i
\(205\) −0.348683 + 0.387252i −0.0243531 + 0.0270468i
\(206\) −0.422043 4.01547i −0.0294051 0.279771i
\(207\) −1.16187 0.246962i −0.0807553 0.0171651i
\(208\) 6.75092 3.00570i 0.468092 0.208408i
\(209\) 18.5580 + 13.4832i 1.28368 + 0.932651i
\(210\) 13.7319 + 6.11384i 0.947591 + 0.421895i
\(211\) −3.15220 5.45978i −0.217007 0.375867i 0.736885 0.676018i \(-0.236296\pi\)
−0.953891 + 0.300152i \(0.902963\pi\)
\(212\) −0.564643 + 0.977990i −0.0387798 + 0.0671687i
\(213\) 8.55826 6.21794i 0.586403 0.426046i
\(214\) −3.80478 + 0.808730i −0.260089 + 0.0552837i
\(215\) −1.85509 5.70937i −0.126516 0.389376i
\(216\) 10.7517 0.731564
\(217\) 19.6767 7.83276i 1.33574 0.531722i
\(218\) 8.57126 0.580519
\(219\) 3.45720 + 10.6402i 0.233616 + 0.718996i
\(220\) 2.73965 0.582330i 0.184707 0.0392607i
\(221\) 8.04618 5.84589i 0.541245 0.393237i
\(222\) 2.31903 4.01668i 0.155643 0.269582i
\(223\) −3.69455 6.39915i −0.247406 0.428519i 0.715400 0.698716i \(-0.246245\pi\)
−0.962805 + 0.270196i \(0.912911\pi\)
\(224\) −9.24454 4.11594i −0.617677 0.275007i
\(225\) 2.75776 + 2.00363i 0.183851 + 0.133575i
\(226\) −17.1625 + 7.64123i −1.14163 + 0.508287i
\(227\) −18.8193 4.00018i −1.24908 0.265501i −0.464528 0.885559i \(-0.653776\pi\)
−0.784556 + 0.620058i \(0.787109\pi\)
\(228\) 0.637207 + 6.06262i 0.0422000 + 0.401507i
\(229\) −4.07307 + 4.52360i −0.269156 + 0.298928i −0.862537 0.505994i \(-0.831126\pi\)
0.593381 + 0.804921i \(0.297793\pi\)
\(230\) −1.15946 1.28771i −0.0764523 0.0849088i
\(231\) −3.10330 + 29.5260i −0.204182 + 1.94267i
\(232\) 6.43383 19.8013i 0.422401 1.30002i
\(233\) 5.41646 16.6702i 0.354844 1.09210i −0.601255 0.799057i \(-0.705333\pi\)
0.956100 0.293042i \(-0.0946675\pi\)
\(234\) 0.443078 4.21561i 0.0289649 0.275583i
\(235\) 1.22984 + 1.36588i 0.0802262 + 0.0891002i
\(236\) −2.50754 + 2.78491i −0.163227 + 0.181282i
\(237\) 2.11195 + 20.0938i 0.137186 + 1.30523i
\(238\) 17.3033 + 3.67794i 1.12161 + 0.238405i
\(239\) −25.4989 + 11.3529i −1.64939 + 0.734355i −0.999667 0.0258176i \(-0.991781\pi\)
−0.649721 + 0.760172i \(0.725114\pi\)
\(240\) −7.27639 5.28660i −0.469689 0.341249i
\(241\) 20.7829 + 9.25315i 1.33875 + 0.596048i 0.946169 0.323672i \(-0.104917\pi\)
0.392576 + 0.919720i \(0.371584\pi\)
\(242\) −1.94010 3.36034i −0.124714 0.216011i
\(243\) 6.35849 11.0132i 0.407897 0.706499i
\(244\) −1.06144 + 0.771185i −0.0679520 + 0.0493701i
\(245\) 11.2913 2.40005i 0.721378 0.153334i
\(246\) 0.266369 + 0.819798i 0.0169830 + 0.0522684i
\(247\) −16.0694 −1.02247
\(248\) −16.7822 + 2.87048i −1.06567 + 0.182276i
\(249\) −17.4197 −1.10393
\(250\) 4.47921 + 13.7856i 0.283290 + 0.871878i
\(251\) 15.8797 3.37534i 1.00232 0.213050i 0.322611 0.946532i \(-0.395439\pi\)
0.679709 + 0.733482i \(0.262106\pi\)
\(252\) −1.93543 + 1.40617i −0.121921 + 0.0885805i
\(253\) 1.71121 2.96390i 0.107583 0.186339i
\(254\) 12.4612 + 21.5834i 0.781884 + 1.35426i
\(255\) −11.0583 4.92346i −0.692496 0.308319i
\(256\) 8.76759 + 6.37002i 0.547974 + 0.398126i
\(257\) 21.3332 9.49816i 1.33073 0.592479i 0.386659 0.922223i \(-0.373629\pi\)
0.944070 + 0.329744i \(0.106963\pi\)
\(258\) −9.71331 2.06463i −0.604724 0.128538i
\(259\) −0.721274 6.86246i −0.0448178 0.426412i
\(260\) −1.31289 + 1.45811i −0.0814220 + 0.0904283i
\(261\) −5.94774 6.60563i −0.368156 0.408878i
\(262\) −1.62945 + 15.5032i −0.100668 + 0.957789i
\(263\) −3.21203 + 9.88562i −0.198062 + 0.609574i 0.801865 + 0.597506i \(0.203841\pi\)
−0.999927 + 0.0120680i \(0.996159\pi\)
\(264\) 7.37545 22.6993i 0.453928 1.39705i
\(265\) −0.378721 + 3.60329i −0.0232646 + 0.221348i
\(266\) −19.1252 21.2406i −1.17264 1.30235i
\(267\) 7.07488 7.85745i 0.432975 0.480868i
\(268\) −0.373707 3.55558i −0.0228278 0.217192i
\(269\) 4.32150 + 0.918563i 0.263487 + 0.0560058i 0.337761 0.941232i \(-0.390331\pi\)
−0.0742740 + 0.997238i \(0.523664\pi\)
\(270\) 6.11722 2.72356i 0.372282 0.165751i
\(271\) −4.97777 3.61656i −0.302378 0.219691i 0.426241 0.904610i \(-0.359838\pi\)
−0.728619 + 0.684919i \(0.759838\pi\)
\(272\) −9.66970 4.30523i −0.586312 0.261043i
\(273\) −10.3989 18.0114i −0.629369 1.09010i
\(274\) 6.08571 10.5408i 0.367651 0.636790i
\(275\) −7.94578 + 5.77295i −0.479149 + 0.348122i
\(276\) 0.889629 0.189096i 0.0535493 0.0113823i
\(277\) 6.81302 + 20.9683i 0.409355 + 1.25987i 0.917204 + 0.398419i \(0.130441\pi\)
−0.507849 + 0.861446i \(0.669559\pi\)
\(278\) −19.0974 −1.14539
\(279\) −2.52109 + 6.81762i −0.150933 + 0.408160i
\(280\) −17.9782 −1.07440
\(281\) −9.50955 29.2674i −0.567292 1.74595i −0.661040 0.750351i \(-0.729885\pi\)
0.0937474 0.995596i \(-0.470115\pi\)
\(282\) 2.97389 0.632119i 0.177092 0.0376421i
\(283\) 17.2687 12.5464i 1.02652 0.745807i 0.0589075 0.998263i \(-0.481238\pi\)
0.967608 + 0.252456i \(0.0812383\pi\)
\(284\) −1.22803 + 2.12701i −0.0728701 + 0.126215i
\(285\) 9.77904 + 16.9378i 0.579260 + 1.00331i
\(286\) 11.1572 + 4.96752i 0.659741 + 0.293736i
\(287\) 1.03750 + 0.753786i 0.0612415 + 0.0444946i
\(288\) 3.17290 1.41267i 0.186965 0.0832421i
\(289\) 2.69417 + 0.572664i 0.158481 + 0.0336861i
\(290\) −1.35540 12.8957i −0.0795917 0.757264i
\(291\) 15.1536 16.8298i 0.888321 0.986581i
\(292\) −1.73805 1.93030i −0.101712 0.112963i
\(293\) 0.188050 1.78917i 0.0109860 0.104525i −0.987655 0.156646i \(-0.949932\pi\)
0.998641 + 0.0521218i \(0.0165984\pi\)
\(294\) 5.90071 18.1605i 0.344136 1.05914i
\(295\) −3.71535 + 11.4347i −0.216316 + 0.665753i
\(296\) −0.579852 + 5.51692i −0.0337032 + 0.320664i
\(297\) 8.84961 + 9.82848i 0.513506 + 0.570306i
\(298\) −12.5678 + 13.9580i −0.728034 + 0.808564i
\(299\) 0.250607 + 2.38437i 0.0144930 + 0.137892i
\(300\) −2.55303 0.542663i −0.147399 0.0313307i
\(301\) −13.4965 + 6.00904i −0.777926 + 0.346355i
\(302\) 0.261003 + 0.189630i 0.0150190 + 0.0109120i
\(303\) −0.755821 0.336513i −0.0434208 0.0193322i
\(304\) 8.55109 + 14.8109i 0.490439 + 0.849465i
\(305\) −2.10470 + 3.64545i −0.120515 + 0.208738i
\(306\) −4.91195 + 3.56874i −0.280797 + 0.204011i
\(307\) −26.1844 + 5.56567i −1.49442 + 0.317650i −0.881383 0.472402i \(-0.843387\pi\)
−0.613041 + 0.790051i \(0.710054\pi\)
\(308\) −2.13001 6.55551i −0.121369 0.373535i
\(309\) 6.79928 0.386798
\(310\) −8.82113 + 5.88433i −0.501006 + 0.334207i
\(311\) 4.18114 0.237090 0.118545 0.992949i \(-0.462177\pi\)
0.118545 + 0.992949i \(0.462177\pi\)
\(312\) 5.16673 + 15.9016i 0.292509 + 0.900249i
\(313\) 11.0950 2.35831i 0.627124 0.133299i 0.116623 0.993176i \(-0.462793\pi\)
0.510501 + 0.859877i \(0.329460\pi\)
\(314\) −15.8763 + 11.5348i −0.895953 + 0.650948i
\(315\) −3.83769 + 6.64708i −0.216229 + 0.374520i
\(316\) −2.34546 4.06246i −0.131943 0.228531i
\(317\) 23.6438 + 10.5269i 1.32797 + 0.591249i 0.943341 0.331824i \(-0.107664\pi\)
0.384626 + 0.923073i \(0.374331\pi\)
\(318\) 4.84867 + 3.52277i 0.271900 + 0.197547i
\(319\) 23.3965 10.4168i 1.30995 0.583229i
\(320\) 13.4356 + 2.85582i 0.751071 + 0.159645i
\(321\) −0.684701 6.51449i −0.0382163 0.363604i
\(322\) −2.85341 + 3.16903i −0.159014 + 0.176603i
\(323\) 15.4015 + 17.1050i 0.856960 + 0.951750i
\(324\) −0.564609 + 5.37189i −0.0313672 + 0.298439i
\(325\) 2.12612 6.54354i 0.117936 0.362970i
\(326\) −0.0507081 + 0.156064i −0.00280846 + 0.00864356i
\(327\) −1.50876 + 14.3549i −0.0834347 + 0.793828i
\(328\) −0.689854 0.766160i −0.0380908 0.0423041i
\(329\) 3.02663 3.36141i 0.166864 0.185321i
\(330\) −1.55377 14.7831i −0.0855321 0.813784i
\(331\) −0.749053 0.159216i −0.0411717 0.00875131i 0.187280 0.982307i \(-0.440033\pi\)
−0.228451 + 0.973555i \(0.573366\pi\)
\(332\) 3.69472 1.64500i 0.202774 0.0902808i
\(333\) 1.91599 + 1.39205i 0.104996 + 0.0762839i
\(334\) −4.44493 1.97901i −0.243215 0.108287i
\(335\) −5.73517 9.93361i −0.313346 0.542731i
\(336\) −11.0672 + 19.1689i −0.603765 + 1.04575i
\(337\) −1.93706 + 1.40736i −0.105519 + 0.0766637i −0.639293 0.768963i \(-0.720773\pi\)
0.533775 + 0.845627i \(0.320773\pi\)
\(338\) 7.29950 1.55156i 0.397041 0.0843936i
\(339\) −9.77628 30.0883i −0.530974 1.63417i
\(340\) 2.81040 0.152415
\(341\) −16.4372 12.9784i −0.890123 0.702822i
\(342\) 9.80991 0.530459
\(343\) −0.550776 1.69511i −0.0297391 0.0915276i
\(344\) 11.6175 2.46938i 0.626374 0.133140i
\(345\) 2.36071 1.71516i 0.127096 0.0923408i
\(346\) 8.90672 15.4269i 0.478828 0.829355i
\(347\) −2.82890 4.89980i −0.151863 0.263035i 0.780049 0.625718i \(-0.215194\pi\)
−0.931912 + 0.362683i \(0.881861\pi\)
\(348\) 6.21761 + 2.76826i 0.333299 + 0.148394i
\(349\) −23.5162 17.0855i −1.25879 0.914566i −0.260095 0.965583i \(-0.583754\pi\)
−0.998698 + 0.0510167i \(0.983754\pi\)
\(350\) 11.1797 4.97752i 0.597580 0.266060i
\(351\) −9.06243 1.92628i −0.483717 0.102817i
\(352\) 1.04602 + 9.95223i 0.0557532 + 0.530456i
\(353\) −12.8976 + 14.3243i −0.686471 + 0.762404i −0.981162 0.193189i \(-0.938117\pi\)
0.294690 + 0.955593i \(0.404784\pi\)
\(354\) 13.3079 + 14.7799i 0.707307 + 0.785544i
\(355\) −0.823670 + 7.83670i −0.0437159 + 0.415929i
\(356\) −0.758579 + 2.33467i −0.0402046 + 0.123737i
\(357\) −9.20553 + 28.3317i −0.487209 + 1.49947i
\(358\) 2.28227 21.7143i 0.120622 1.14764i
\(359\) 6.92167 + 7.68729i 0.365312 + 0.405720i 0.897577 0.440858i \(-0.145326\pi\)
−0.532265 + 0.846578i \(0.678659\pi\)
\(360\) 4.12884 4.58554i 0.217609 0.241679i
\(361\) −1.90131 18.0898i −0.100069 0.952095i
\(362\) 14.5343 + 3.08935i 0.763904 + 0.162373i
\(363\) 5.96932 2.65771i 0.313308 0.139494i
\(364\) 3.90647 + 2.83822i 0.204755 + 0.148763i
\(365\) −7.61312 3.38958i −0.398489 0.177419i
\(366\) 3.48154 + 6.03020i 0.181983 + 0.315203i
\(367\) 0.0682819 0.118268i 0.00356428 0.00617352i −0.864238 0.503084i \(-0.832199\pi\)
0.867802 + 0.496910i \(0.165532\pi\)
\(368\) 2.06428 1.49978i 0.107608 0.0781817i
\(369\) −0.430531 + 0.0915122i −0.0224125 + 0.00476393i
\(370\) 1.06760 + 3.28574i 0.0555020 + 0.170818i
\(371\) 8.91649 0.462921
\(372\) −0.359759 5.55402i −0.0186527 0.287963i
\(373\) −7.36393 −0.381290 −0.190645 0.981659i \(-0.561058\pi\)
−0.190645 + 0.981659i \(0.561058\pi\)
\(374\) −5.40578 16.6373i −0.279526 0.860294i
\(375\) −23.8762 + 5.07504i −1.23296 + 0.262074i
\(376\) −2.94187 + 2.13739i −0.151715 + 0.110228i
\(377\) −8.97053 + 15.5374i −0.462006 + 0.800218i
\(378\) −8.23955 14.2713i −0.423797 0.734038i
\(379\) −4.20974 1.87430i −0.216240 0.0962762i 0.295758 0.955263i \(-0.404428\pi\)
−0.511998 + 0.858987i \(0.671094\pi\)
\(380\) −3.67362 2.66904i −0.188453 0.136919i
\(381\) −38.3408 + 17.0704i −1.96426 + 0.874544i
\(382\) −6.11243 1.29924i −0.312739 0.0664748i
\(383\) 3.37572 + 32.1179i 0.172491 + 1.64115i 0.648147 + 0.761515i \(0.275544\pi\)
−0.475656 + 0.879631i \(0.657789\pi\)
\(384\) 7.81602 8.68057i 0.398860 0.442979i
\(385\) −14.7976 16.4344i −0.754155 0.837574i
\(386\) 2.58132 24.5596i 0.131386 1.25005i
\(387\) 1.56691 4.82246i 0.0796506 0.245139i
\(388\) −1.62479 + 5.00060i −0.0824864 + 0.253867i
\(389\) 3.68685 35.0781i 0.186931 1.77853i −0.351825 0.936066i \(-0.614439\pi\)
0.538756 0.842462i \(-0.318895\pi\)
\(390\) 6.96770 + 7.73842i 0.352823 + 0.391850i
\(391\) 2.29784 2.55201i 0.116207 0.129061i
\(392\) 2.38727 + 22.7134i 0.120575 + 1.14720i
\(393\) −25.6774 5.45791i −1.29526 0.275315i
\(394\) 24.4359 10.8796i 1.23106 0.548105i
\(395\) −12.1758 8.84621i −0.612629 0.445101i
\(396\) 2.16123 + 0.962241i 0.108606 + 0.0483544i
\(397\) 2.01701 + 3.49356i 0.101231 + 0.175337i 0.912192 0.409763i \(-0.134389\pi\)
−0.810961 + 0.585100i \(0.801055\pi\)
\(398\) −9.34326 + 16.1830i −0.468335 + 0.811181i
\(399\) 38.9398 28.2914i 1.94943 1.41634i
\(400\) −7.16245 + 1.52243i −0.358122 + 0.0761213i
\(401\) 7.68933 + 23.6653i 0.383987 + 1.18179i 0.937212 + 0.348759i \(0.113397\pi\)
−0.553225 + 0.833032i \(0.686603\pi\)
\(402\) −18.9739 −0.946334
\(403\) 14.6597 + 0.587221i 0.730249 + 0.0292516i
\(404\) 0.192087 0.00955671
\(405\) 5.35520 + 16.4816i 0.266102 + 0.818978i
\(406\) −31.2137 + 6.63469i −1.54911 + 0.329274i
\(407\) −5.52044 + 4.01084i −0.273638 + 0.198810i
\(408\) 11.9744 20.7403i 0.592821 1.02680i
\(409\) −1.75361 3.03734i −0.0867105 0.150187i 0.819408 0.573210i \(-0.194302\pi\)
−0.906119 + 0.423023i \(0.860969\pi\)
\(410\) −0.586572 0.261159i −0.0289687 0.0128977i
\(411\) 16.5821 + 12.0476i 0.817936 + 0.594265i
\(412\) −1.44213 + 0.642076i −0.0710485 + 0.0316328i
\(413\) 28.9422 + 6.15186i 1.42415 + 0.302713i
\(414\) −0.152988 1.45559i −0.00751896 0.0715381i
\(415\) 8.68246 9.64284i 0.426205 0.473349i
\(416\) −4.69077 5.20963i −0.229984 0.255423i
\(417\) 3.36163 31.9838i 0.164620 1.56625i
\(418\) −8.73429 + 26.8814i −0.427208 + 1.31481i
\(419\) 1.27325 3.91865i 0.0622022 0.191439i −0.915126 0.403167i \(-0.867909\pi\)
0.977328 + 0.211729i \(0.0679093\pi\)
\(420\) 0.614309 5.84476i 0.0299752 0.285195i
\(421\) 18.4689 + 20.5118i 0.900121 + 0.999686i 0.999989 + 0.00468505i \(0.00149130\pi\)
−0.0998679 + 0.995001i \(0.531842\pi\)
\(422\) 5.19788 5.77283i 0.253029 0.281017i
\(423\) 0.162276 + 1.54395i 0.00789012 + 0.0750695i
\(424\) −7.01157 1.49035i −0.340512 0.0723780i
\(425\) −9.00298 + 4.00839i −0.436709 + 0.194435i
\(426\) 10.5453 + 7.66158i 0.510919 + 0.371205i
\(427\) 9.46367 + 4.21350i 0.457979 + 0.203905i
\(428\) 0.760408 + 1.31706i 0.0367557 + 0.0636627i
\(429\) −10.2834 + 17.8114i −0.496488 + 0.859943i
\(430\) 5.98427 4.34783i 0.288587 0.209671i
\(431\) 14.5489 3.09247i 0.700796 0.148959i 0.156284 0.987712i \(-0.450048\pi\)
0.544512 + 0.838753i \(0.316715\pi\)
\(432\) 3.04701 + 9.37772i 0.146599 + 0.451186i
\(433\) 9.26195 0.445101 0.222550 0.974921i \(-0.428562\pi\)
0.222550 + 0.974921i \(0.428562\pi\)
\(434\) 16.6711 + 20.0761i 0.800238 + 0.963682i
\(435\) 21.8360 1.04696
\(436\) −1.03557 3.18715i −0.0495947 0.152637i
\(437\) −5.42728 + 1.15361i −0.259622 + 0.0551844i
\(438\) −11.1525 + 8.10275i −0.532886 + 0.387164i
\(439\) −8.85909 + 15.3444i −0.422821 + 0.732348i −0.996214 0.0869324i \(-0.972294\pi\)
0.573393 + 0.819281i \(0.305627\pi\)
\(440\) 8.88929 + 15.3967i 0.423780 + 0.734009i
\(441\) 8.90741 + 3.96584i 0.424163 + 0.188849i
\(442\) 9.91428 + 7.20314i 0.471574 + 0.342619i
\(443\) −16.8551 + 7.50439i −0.800811 + 0.356544i −0.765993 0.642850i \(-0.777752\pi\)
−0.0348187 + 0.999394i \(0.511085\pi\)
\(444\) −1.77375 0.377023i −0.0841785 0.0178927i
\(445\) 0.823253 + 7.83273i 0.0390259 + 0.371307i
\(446\) 6.09220 6.76608i 0.288474 0.320383i
\(447\) −21.1642 23.5052i −1.00103 1.11176i
\(448\) 3.53342 33.6183i 0.166939 1.58831i
\(449\) 7.01784 21.5987i 0.331192 1.01931i −0.637375 0.770554i \(-0.719980\pi\)
0.968567 0.248752i \(-0.0800203\pi\)
\(450\) −1.29793 + 3.99463i −0.0611852 + 0.188309i
\(451\) 0.132561 1.26123i 0.00624204 0.0593890i
\(452\) 4.91487 + 5.45852i 0.231176 + 0.256747i
\(453\) −0.363530 + 0.403740i −0.0170801 + 0.0189694i
\(454\) −2.47803 23.5769i −0.116300 1.10652i
\(455\) 15.1535 + 3.22097i 0.710405 + 0.151001i
\(456\) −35.3494 + 15.7386i −1.65539 + 0.737027i
\(457\) 13.0752 + 9.49970i 0.611633 + 0.444377i 0.849989 0.526800i \(-0.176608\pi\)
−0.238356 + 0.971178i \(0.576608\pi\)
\(458\) −6.85192 3.05067i −0.320169 0.142549i
\(459\) 6.63529 + 11.4927i 0.309709 + 0.536432i
\(460\) −0.338739 + 0.586713i −0.0157938 + 0.0273556i
\(461\) −17.4252 + 12.6602i −0.811573 + 0.589642i −0.914286 0.405069i \(-0.867248\pi\)
0.102713 + 0.994711i \(0.467248\pi\)
\(462\) −35.7821 + 7.60571i −1.66473 + 0.353850i
\(463\) −5.41083 16.6528i −0.251462 0.773922i −0.994506 0.104679i \(-0.966619\pi\)
0.743044 0.669243i \(-0.233381\pi\)
\(464\) 19.0941 0.886421
\(465\) −8.30216 15.8092i −0.385003 0.733133i
\(466\) 21.5976 1.00049
\(467\) −3.64845 11.2288i −0.168830 0.519605i 0.830468 0.557066i \(-0.188073\pi\)
−0.999298 + 0.0374608i \(0.988073\pi\)
\(468\) −1.62107 + 0.344569i −0.0749341 + 0.0159277i
\(469\) −22.8372 + 16.5922i −1.05453 + 0.766158i
\(470\) −1.13235 + 1.96129i −0.0522314 + 0.0904674i
\(471\) −16.5236 28.6197i −0.761366 1.31872i
\(472\) −21.7307 9.67514i −1.00024 0.445335i
\(473\) 11.8195 + 8.58739i 0.543463 + 0.394849i
\(474\) −22.7431 + 10.1259i −1.04463 + 0.465097i
\(475\) 15.5751 + 3.31058i 0.714632 + 0.151900i
\(476\) −0.722955 6.87846i −0.0331366 0.315274i
\(477\) −2.04774 + 2.27425i −0.0937597 + 0.104131i
\(478\) −23.0130 25.5586i −1.05259 1.16902i
\(479\) 1.65246 15.7221i 0.0755029 0.718362i −0.889644 0.456654i \(-0.849048\pi\)
0.965147 0.261708i \(-0.0842856\pi\)
\(480\) −2.63658 + 8.11456i −0.120343 + 0.370377i
\(481\) 1.47715 4.54621i 0.0673525 0.207290i
\(482\) −2.93010 + 27.8780i −0.133462 + 1.26981i
\(483\) −4.80513 5.33664i −0.218641 0.242825i
\(484\) −1.01512 + 1.12740i −0.0461416 + 0.0512455i
\(485\) 1.76332 + 16.7769i 0.0800682 + 0.761798i
\(486\) 15.3271 + 3.25787i 0.695251 + 0.147780i
\(487\) 11.6857 5.20283i 0.529532 0.235763i −0.124514 0.992218i \(-0.539737\pi\)
0.654046 + 0.756455i \(0.273070\pi\)
\(488\) −6.73758 4.89514i −0.304996 0.221593i
\(489\) −0.252445 0.112396i −0.0114160 0.00508271i
\(490\) 7.11185 + 12.3181i 0.321281 + 0.556475i
\(491\) 9.26410 16.0459i 0.418083 0.724141i −0.577664 0.816275i \(-0.696036\pi\)
0.995747 + 0.0921341i \(0.0293688\pi\)
\(492\) 0.272653 0.198094i 0.0122921 0.00893076i
\(493\) 25.1364 5.34290i 1.13209 0.240632i
\(494\) −6.11864 18.8312i −0.275290 0.847257i
\(495\) 7.59016 0.341152
\(496\) −7.25967 13.8240i −0.325969 0.620717i
\(497\) 19.3922 0.869861
\(498\) −6.63277 20.4136i −0.297221 0.914754i
\(499\) −39.9938 + 8.50094i −1.79037 + 0.380554i −0.978980 0.203955i \(-0.934620\pi\)
−0.811387 + 0.584510i \(0.801287\pi\)
\(500\) 4.58489 3.33112i 0.205042 0.148972i
\(501\) 4.09681 7.09588i 0.183032 0.317021i
\(502\) 10.0018 + 17.3237i 0.446404 + 0.773195i
\(503\) 18.3413 + 8.16609i 0.817800 + 0.364108i 0.772618 0.634871i \(-0.218947\pi\)
0.0451817 + 0.998979i \(0.485613\pi\)
\(504\) −12.2852 8.92575i −0.547228 0.397585i
\(505\) 0.563001 0.250664i 0.0250532 0.0111544i
\(506\) 4.12485 + 0.876764i 0.183372 + 0.0389769i
\(507\) 1.31361 + 12.4981i 0.0583393 + 0.555061i
\(508\) 6.52007 7.24127i 0.289281 0.321279i
\(509\) −21.3528 23.7147i −0.946445 1.05113i −0.998621 0.0524956i \(-0.983282\pi\)
0.0521763 0.998638i \(-0.483384\pi\)
\(510\) 1.55906 14.8335i 0.0690364 0.656837i
\(511\) −6.33760 + 19.5051i −0.280359 + 0.862855i
\(512\) −7.60561 + 23.4076i −0.336123 + 1.03448i
\(513\) 2.24127 21.3242i 0.0989544 0.941488i
\(514\) 19.2534 + 21.3831i 0.849233 + 0.943169i
\(515\) −3.38895 + 3.76381i −0.149335 + 0.165853i
\(516\) 0.405835 + 3.86126i 0.0178659 + 0.169982i
\(517\) −4.37526 0.929990i −0.192424 0.0409009i
\(518\) 7.76725 3.45820i 0.341273 0.151945i
\(519\) 24.2687 + 17.6323i 1.06528 + 0.773970i
\(520\) −11.3777 5.06568i −0.498945 0.222145i
\(521\) −1.05378 1.82520i −0.0461670 0.0799635i 0.842019 0.539449i \(-0.181367\pi\)
−0.888185 + 0.459485i \(0.848034\pi\)
\(522\) 5.47624 9.48512i 0.239688 0.415152i
\(523\) −3.97047 + 2.88471i −0.173616 + 0.126140i −0.671200 0.741276i \(-0.734221\pi\)
0.497584 + 0.867416i \(0.334221\pi\)
\(524\) 5.96159 1.26717i 0.260433 0.0553568i
\(525\) 6.36830 + 19.5996i 0.277935 + 0.855397i
\(526\) −12.8076 −0.558440
\(527\) −13.4252 16.1672i −0.584811 0.704255i
\(528\) 21.8886 0.952580
\(529\) −6.85158 21.0870i −0.297895 0.916826i
\(530\) −4.36677 + 0.928185i −0.189680 + 0.0403178i
\(531\) −8.21591 + 5.96921i −0.356540 + 0.259042i
\(532\) −5.58748 + 9.67780i −0.242248 + 0.419586i
\(533\) 0.444199 + 0.769375i 0.0192404 + 0.0333253i
\(534\) 11.9017 + 5.29898i 0.515038 + 0.229310i
\(535\) 3.94743 + 2.86798i 0.170662 + 0.123993i
\(536\) 20.7316 9.23030i 0.895469 0.398688i
\(537\) 35.9648 + 7.64456i 1.55200 + 0.329887i
\(538\) 0.569031 + 5.41397i 0.0245327 + 0.233413i
\(539\) −18.7980 + 20.8773i −0.809689 + 0.899251i
\(540\) −1.75181 1.94558i −0.0753858 0.0837245i
\(541\) 1.30002 12.3689i 0.0558923 0.531780i −0.930373 0.366613i \(-0.880517\pi\)
0.986266 0.165167i \(-0.0528162\pi\)
\(542\) 2.34278 7.21033i 0.100631 0.309710i
\(543\) −7.73236 + 23.7978i −0.331827 + 1.02126i
\(544\) −1.04959 + 9.98614i −0.0450006 + 0.428152i
\(545\) −7.19428 7.99006i −0.308169 0.342257i
\(546\) 17.1474 19.0442i 0.733842 0.815014i
\(547\) 1.45974 + 13.8885i 0.0624140 + 0.593830i 0.980373 + 0.197154i \(0.0631697\pi\)
−0.917959 + 0.396676i \(0.870164\pi\)
\(548\) −4.65476 0.989399i −0.198841 0.0422650i
\(549\) −3.24811 + 1.44615i −0.138626 + 0.0617202i
\(550\) −9.79058 7.11327i −0.417472 0.303311i
\(551\) −37.9313 16.8881i −1.61593 0.719456i
\(552\) 2.88656 + 4.99967i 0.122860 + 0.212800i
\(553\) −18.5190 + 32.0759i −0.787509 + 1.36401i
\(554\) −21.9779 + 15.9679i −0.933752 + 0.678411i
\(555\) −5.69080 + 1.20962i −0.241561 + 0.0513454i
\(556\) 2.30732 + 7.10121i 0.0978523 + 0.301159i
\(557\) −37.2207 −1.57709 −0.788546 0.614976i \(-0.789166\pi\)
−0.788546 + 0.614976i \(0.789166\pi\)
\(558\) −8.94927 0.358481i −0.378853 0.0151757i
\(559\) −10.2346 −0.432876
\(560\) −5.09496 15.6807i −0.215301 0.662629i
\(561\) 28.8152 6.12487i 1.21658 0.258592i
\(562\) 30.6766 22.2878i 1.29401 0.940156i
\(563\) 15.0134 26.0039i 0.632738 1.09593i −0.354252 0.935150i \(-0.615264\pi\)
0.986990 0.160784i \(-0.0514023\pi\)
\(564\) −0.594349 1.02944i −0.0250266 0.0433474i
\(565\) 21.5284 + 9.58507i 0.905707 + 0.403247i
\(566\) 21.2780 + 15.4594i 0.894380 + 0.649805i
\(567\) 38.9613 17.3467i 1.63622 0.728492i
\(568\) −15.2493 3.24133i −0.639846 0.136003i
\(569\) 4.21995 + 40.1502i 0.176910 + 1.68318i 0.618359 + 0.785896i \(0.287798\pi\)
−0.441449 + 0.897286i \(0.645536\pi\)
\(570\) −16.1253 + 17.9090i −0.675415 + 0.750125i
\(571\) 28.5060 + 31.6591i 1.19294 + 1.32489i 0.933262 + 0.359197i \(0.116949\pi\)
0.259677 + 0.965696i \(0.416384\pi\)
\(572\) 0.499129 4.74889i 0.0208696 0.198561i
\(573\) 3.25187 10.0082i 0.135849 0.418100i
\(574\) −0.488296 + 1.50282i −0.0203811 + 0.0627265i
\(575\) 0.248324 2.36264i 0.0103558 0.0985290i
\(576\) 7.76324 + 8.62195i 0.323468 + 0.359248i
\(577\) −4.37462 + 4.85851i −0.182118 + 0.202262i −0.827290 0.561775i \(-0.810119\pi\)
0.645173 + 0.764037i \(0.276785\pi\)
\(578\) 0.354754 + 3.37526i 0.0147558 + 0.140392i
\(579\) 40.6774 + 8.64624i 1.69049 + 0.359325i
\(580\) −4.63142 + 2.06204i −0.192309 + 0.0856216i
\(581\) −25.8344 18.7698i −1.07179 0.778703i
\(582\) 25.4922 + 11.3499i 1.05669 + 0.470467i
\(583\) −4.40874 7.63617i −0.182591 0.316258i
\(584\) 8.24383 14.2787i 0.341132 0.590858i
\(585\) −4.30166 + 3.12534i −0.177852 + 0.129217i
\(586\) 2.16827 0.460880i 0.0895704 0.0190388i
\(587\) −6.60607 20.3314i −0.272662 0.839167i −0.989829 0.142265i \(-0.954561\pi\)
0.717167 0.696902i \(-0.245439\pi\)
\(588\) −7.46576 −0.307883
\(589\) 2.19476 + 33.8830i 0.0904333 + 1.39612i
\(590\) −14.8146 −0.609907
\(591\) 13.9195 + 42.8397i 0.572570 + 1.76219i
\(592\) −4.97621 + 1.05773i −0.204521 + 0.0434723i
\(593\) −21.0268 + 15.2769i −0.863468 + 0.627347i −0.928826 0.370515i \(-0.879181\pi\)
0.0653579 + 0.997862i \(0.479181\pi\)
\(594\) −8.14807 + 14.1129i −0.334319 + 0.579058i
\(595\) −11.0950 19.2171i −0.454851 0.787824i
\(596\) 6.70858 + 2.98685i 0.274794 + 0.122346i
\(597\) −25.4582 18.4965i −1.04193 0.757010i
\(598\) −2.69874 + 1.20156i −0.110360 + 0.0491353i
\(599\) 8.98718 + 1.91028i 0.367206 + 0.0780521i 0.387819 0.921735i \(-0.373228\pi\)
−0.0206131 + 0.999788i \(0.506562\pi\)
\(600\) −1.73178 16.4768i −0.0706996 0.672661i
\(601\) 22.2948 24.7609i 0.909423 1.01002i −0.0904769 0.995899i \(-0.528839\pi\)
0.999900 0.0141185i \(-0.00449419\pi\)
\(602\) −12.1807 13.5281i −0.496450 0.551364i
\(603\) 1.01272 9.63543i 0.0412413 0.392385i
\(604\) 0.0389782 0.119962i 0.00158600 0.00488120i
\(605\) −1.50407 + 4.62905i −0.0611491 + 0.188197i
\(606\) 0.106560 1.01385i 0.00432871 0.0411849i
\(607\) −32.5872 36.1917i −1.32267 1.46898i −0.774434 0.632654i \(-0.781965\pi\)
−0.548238 0.836322i \(-0.684701\pi\)
\(608\) 10.8558 12.0566i 0.440262 0.488961i
\(609\) −5.61717 53.4438i −0.227619 2.16565i
\(610\) −5.07336 1.07838i −0.205414 0.0436622i
\(611\) 2.86257 1.27450i 0.115807 0.0515608i
\(612\) 1.92046 + 1.39530i 0.0776300 + 0.0564015i
\(613\) 19.1059 + 8.50649i 0.771680 + 0.343574i 0.754519 0.656279i \(-0.227870\pi\)
0.0171613 + 0.999853i \(0.494537\pi\)
\(614\) −16.4923 28.5654i −0.665573 1.15281i
\(615\) 0.540633 0.936404i 0.0218004 0.0377594i
\(616\) 35.3968 25.7173i 1.42618 1.03618i
\(617\) −44.3922 + 9.43586i −1.78716 + 0.379873i −0.978147 0.207913i \(-0.933333\pi\)
−0.809016 + 0.587787i \(0.799999\pi\)
\(618\) 2.58891 + 7.96784i 0.104141 + 0.320514i
\(619\) −10.2462 −0.411832 −0.205916 0.978570i \(-0.566017\pi\)
−0.205916 + 0.978570i \(0.566017\pi\)
\(620\) 3.25379 + 2.56913i 0.130676 + 0.103179i
\(621\) −3.19902 −0.128372
\(622\) 1.59202 + 4.89973i 0.0638341 + 0.196461i
\(623\) 18.9589 4.02983i 0.759571 0.161452i
\(624\) −12.4052 + 9.01290i −0.496605 + 0.360805i
\(625\) 2.56358 4.44025i 0.102543 0.177610i
\(626\) 6.98816 + 12.1038i 0.279303 + 0.483767i
\(627\) −43.4827 19.3598i −1.73653 0.773154i
\(628\) 6.20729 + 4.50986i 0.247698 + 0.179963i
\(629\) −6.25495 + 2.78488i −0.249401 + 0.111041i
\(630\) −9.25073 1.96630i −0.368558 0.0783394i
\(631\) 1.11605 + 10.6185i 0.0444291 + 0.422715i 0.994018 + 0.109217i \(0.0348343\pi\)
−0.949589 + 0.313498i \(0.898499\pi\)
\(632\) 19.9240 22.1278i 0.792533 0.880197i
\(633\) 8.75322 + 9.72144i 0.347909 + 0.386392i
\(634\) −3.33344 + 31.7156i −0.132388 + 1.25959i
\(635\) 9.66059 29.7322i 0.383369 1.17989i
\(636\) 0.724101 2.22855i 0.0287125 0.0883679i
\(637\) 2.05714 19.5724i 0.0815068 0.775485i
\(638\) 21.1156 + 23.4512i 0.835975 + 0.928444i
\(639\) −4.45358 + 4.94621i −0.176181 + 0.195669i
\(640\) 0.909495 + 8.65326i 0.0359509 + 0.342050i
\(641\) −23.3407 4.96121i −0.921900 0.195956i −0.277572 0.960705i \(-0.589530\pi\)
−0.644328 + 0.764749i \(0.722863\pi\)
\(642\) 7.37340 3.28285i 0.291005 0.129564i
\(643\) 6.42300 + 4.66658i 0.253298 + 0.184032i 0.707187 0.707026i \(-0.249964\pi\)
−0.453889 + 0.891058i \(0.649964\pi\)
\(644\) 1.52312 + 0.678137i 0.0600194 + 0.0267224i
\(645\) 6.22823 + 10.7876i 0.245237 + 0.424762i
\(646\) −14.1805 + 24.5614i −0.557925 + 0.966355i
\(647\) −2.00443 + 1.45630i −0.0788023 + 0.0572532i −0.626489 0.779430i \(-0.715509\pi\)
0.547687 + 0.836684i \(0.315509\pi\)
\(648\) −33.5370 + 7.12851i −1.31746 + 0.280034i
\(649\) −9.04192 27.8282i −0.354926 1.09235i
\(650\) 8.47769 0.332523
\(651\) −36.5574 + 24.3864i −1.43280 + 0.955778i
\(652\) 0.0641574 0.00251260
\(653\) 6.95104 + 21.3931i 0.272015 + 0.837177i 0.989994 + 0.141112i \(0.0450677\pi\)
−0.717978 + 0.696065i \(0.754932\pi\)
\(654\) −17.3965 + 3.69774i −0.680257 + 0.144593i
\(655\) 15.8196 11.4936i 0.618123 0.449093i
\(656\) 0.472746 0.818821i 0.0184576 0.0319696i
\(657\) −3.51952 6.09598i −0.137309 0.237827i
\(658\) 5.09155 + 2.26690i 0.198489 + 0.0883731i
\(659\) 9.67555 + 7.02970i 0.376906 + 0.273838i 0.760069 0.649843i \(-0.225165\pi\)
−0.383163 + 0.923681i \(0.625165\pi\)
\(660\) −5.30925 + 2.36383i −0.206662 + 0.0920120i
\(661\) −23.3151 4.95578i −0.906852 0.192757i −0.269202 0.963084i \(-0.586760\pi\)
−0.637650 + 0.770326i \(0.720093\pi\)
\(662\) −0.0986312 0.938413i −0.00383341 0.0364725i
\(663\) −13.8088 + 15.3362i −0.536289 + 0.595609i
\(664\) 17.1779 + 19.0779i 0.666630 + 0.740368i
\(665\) −3.74766 + 35.6567i −0.145328 + 1.38271i
\(666\) −0.901758 + 2.77533i −0.0349424 + 0.107542i
\(667\) −1.91429 + 5.89158i −0.0741216 + 0.228123i
\(668\) −0.198848 + 1.89191i −0.00769365 + 0.0732002i
\(669\) 10.2593 + 11.3941i 0.396646 + 0.440520i
\(670\) 9.45712 10.5032i 0.365360 0.405774i
\(671\) −1.07082 10.1881i −0.0413384 0.393309i
\(672\) 20.5387 + 4.36563i 0.792297 + 0.168408i
\(673\) 3.19204 1.42119i 0.123044 0.0547827i −0.344291 0.938863i \(-0.611881\pi\)
0.467335 + 0.884080i \(0.345214\pi\)
\(674\) −2.38679 1.73411i −0.0919359 0.0667953i
\(675\) 8.38677 + 3.73403i 0.322807 + 0.143723i
\(676\) −1.45885 2.52680i −0.0561096 0.0971847i
\(677\) 9.62287 16.6673i 0.369837 0.640576i −0.619703 0.784836i \(-0.712747\pi\)
0.989540 + 0.144260i \(0.0460803\pi\)
\(678\) 31.5370 22.9130i 1.21117 0.879967i
\(679\) 40.6079 8.63147i 1.55839 0.331245i
\(680\) 5.51260 + 16.9660i 0.211399 + 0.650618i
\(681\) 39.9221 1.52982
\(682\) 8.95034 24.2039i 0.342726 0.926814i
\(683\) −39.8738 −1.52573 −0.762865 0.646558i \(-0.776208\pi\)
−0.762865 + 0.646558i \(0.776208\pi\)
\(684\) −1.18522 3.64773i −0.0453180 0.139475i
\(685\) −14.9340 + 3.17433i −0.570601 + 0.121285i
\(686\) 1.77673 1.29087i 0.0678359 0.0492857i
\(687\) 6.31529 10.9384i 0.240944 0.417326i
\(688\) 5.44616 + 9.43303i 0.207633 + 0.359631i
\(689\) 5.64290 + 2.51238i 0.214977 + 0.0957140i
\(690\) 2.90880 + 2.11337i 0.110736 + 0.0804545i
\(691\) 35.0897 15.6229i 1.33487 0.594325i 0.389716 0.920935i \(-0.372573\pi\)
0.945159 + 0.326611i \(0.105907\pi\)
\(692\) −6.81246 1.44803i −0.258971 0.0550459i
\(693\) −1.95252 18.5770i −0.0741700 0.705680i
\(694\) 4.66477 5.18075i 0.177072 0.196659i
\(695\) 16.0294 + 17.8025i 0.608030 + 0.675286i
\(696\) −4.51580 + 42.9649i −0.171171 + 1.62858i
\(697\) 0.393224 1.21022i 0.0148944 0.0458403i
\(698\) 11.0678 34.0633i 0.418924 1.28932i
\(699\) −3.80173 + 36.1710i −0.143795 + 1.36811i
\(700\) −3.20156 3.55570i −0.121008 0.134393i
\(701\) −23.7043 + 26.3263i −0.895298 + 0.994329i −1.00000 0.000174860i \(-0.999944\pi\)
0.104702 + 0.994504i \(0.466611\pi\)
\(702\) −1.19329 11.3534i −0.0450379 0.428507i
\(703\) 10.8210 + 2.30007i 0.408121 + 0.0867488i
\(704\) −30.5381 + 13.5965i −1.15095 + 0.512436i
\(705\) −3.08539 2.24166i −0.116202 0.0844260i
\(706\) −21.6970 9.66015i −0.816579 0.363564i
\(707\) −0.758331 1.31347i −0.0285200 0.0493980i
\(708\) 3.88795 6.73412i 0.146118 0.253084i
\(709\) 20.8801 15.1703i 0.784170 0.569733i −0.122057 0.992523i \(-0.538949\pi\)
0.906228 + 0.422790i \(0.138949\pi\)
\(710\) −9.49718 + 2.01869i −0.356423 + 0.0757600i
\(711\) −3.92827 12.0900i −0.147322 0.453409i
\(712\) −15.5821 −0.583962
\(713\) 4.99330 0.854070i 0.187001 0.0319852i
\(714\) −36.7061 −1.37369
\(715\) −4.73414 14.5702i −0.177047 0.544894i
\(716\) −8.35004 + 1.77486i −0.312056 + 0.0663295i
\(717\) 46.8557 34.0426i 1.74986 1.27135i
\(718\) −6.37296 + 11.0383i −0.237837 + 0.411945i
\(719\) 19.5234 + 33.8155i 0.728099 + 1.26110i 0.957686 + 0.287816i \(0.0929291\pi\)
−0.229587 + 0.973288i \(0.573738\pi\)
\(720\) 5.16963 + 2.30167i 0.192661 + 0.0857780i
\(721\) 10.0837 + 7.32625i 0.375537 + 0.272844i
\(722\) 20.4749 9.11599i 0.761995 0.339262i
\(723\) −46.1736 9.81450i −1.71721 0.365005i
\(724\) −0.607260 5.77769i −0.0225686 0.214726i
\(725\) 11.8955 13.2113i 0.441788 0.490656i
\(726\) 5.38737 + 5.98328i 0.199944 + 0.222060i
\(727\) −2.61150 + 24.8468i −0.0968552 + 0.921516i 0.832921 + 0.553391i \(0.186667\pi\)
−0.929777 + 0.368124i \(0.880000\pi\)
\(728\) −9.47144 + 29.1501i −0.351035 + 1.08037i
\(729\) 2.24010 6.89433i 0.0829668 0.255345i
\(730\) 1.07334 10.2122i 0.0397262 0.377970i
\(731\) 9.80913 + 10.8941i 0.362804 + 0.402934i
\(732\) 1.82164 2.02314i 0.0673299 0.0747774i
\(733\) 1.77166 + 16.8562i 0.0654377 + 0.622598i 0.977265 + 0.212023i \(0.0680052\pi\)
−0.911827 + 0.410575i \(0.865328\pi\)
\(734\) 0.164593 + 0.0349853i 0.00607524 + 0.00129133i
\(735\) −21.8819 + 9.74243i −0.807125 + 0.359355i
\(736\) −1.95825 1.42275i −0.0721821 0.0524434i
\(737\) 25.5016 + 11.3540i 0.939363 + 0.418231i
\(738\) −0.271170 0.469680i −0.00998190 0.0172892i
\(739\) −7.19107 + 12.4553i −0.264528 + 0.458175i −0.967440 0.253101i \(-0.918549\pi\)
0.702912 + 0.711277i \(0.251883\pi\)
\(740\) 1.09279 0.793959i 0.0401718 0.0291865i
\(741\) 32.6151 6.93254i 1.19814 0.254673i
\(742\) 3.39506 + 10.4489i 0.124637 + 0.383592i
\(743\) −27.7705 −1.01880 −0.509400 0.860530i \(-0.670133\pi\)
−0.509400 + 0.860530i \(0.670133\pi\)
\(744\) 32.8233 13.0661i 1.20336 0.479025i
\(745\) 23.5603 0.863183
\(746\) −2.80390 8.62953i −0.102658 0.315950i
\(747\) 10.7205 2.27872i 0.392244 0.0833740i
\(748\) −5.53332 + 4.02019i −0.202318 + 0.146993i
\(749\) 6.00394 10.3991i 0.219379 0.379976i
\(750\) −15.0384 26.0473i −0.549126 0.951113i
\(751\) −39.8034 17.7216i −1.45245 0.646670i −0.479465 0.877561i \(-0.659169\pi\)
−0.972980 + 0.230891i \(0.925836\pi\)
\(752\) −2.69796 1.96018i −0.0983844 0.0714804i
\(753\) −30.7739 + 13.7014i −1.12146 + 0.499307i
\(754\) −21.6234 4.59620i −0.787478 0.167384i
\(755\) −0.0423013 0.402470i −0.00153950 0.0146474i
\(756\) −4.31118 + 4.78805i −0.156796 + 0.174140i
\(757\) 16.8735 + 18.7400i 0.613279 + 0.681115i 0.967158 0.254176i \(-0.0818042\pi\)
−0.353879 + 0.935291i \(0.615138\pi\)
\(758\) 0.593514 5.64691i 0.0215574 0.205105i
\(759\) −2.19446 + 6.75385i −0.0796538 + 0.245149i
\(760\) 8.90688 27.4125i 0.323086 0.994358i
\(761\) 0.273439 2.60160i 0.00991216 0.0943079i −0.988447 0.151565i \(-0.951569\pi\)
0.998359 + 0.0572569i \(0.0182354\pi\)
\(762\) −34.6029 38.4305i −1.25353 1.39219i
\(763\) −17.7050 + 19.6634i −0.640966 + 0.711864i
\(764\) 0.255385 + 2.42983i 0.00923952 + 0.0879081i
\(765\) 7.44959 + 1.58346i 0.269341 + 0.0572501i