Properties

Label 31.2.g.a.19.2
Level 31
Weight 2
Character 31.19
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 19.2
Root \(-1.83925i\)
Character \(\chi\) = 31.19
Dual form 31.2.g.a.18.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.557811 + 0.405274i) q^{2} +(-0.824384 - 0.367040i) q^{3} +(-0.471127 - 1.44998i) q^{4} +(-1.85376 + 3.21080i) q^{5} +(-0.311099 - 0.538840i) q^{6} +(0.510810 - 0.567312i) q^{7} +(0.750969 - 2.31124i) q^{8} +(-1.46250 - 1.62427i) q^{9} +O(q^{10})\) \(q+(0.557811 + 0.405274i) q^{2} +(-0.824384 - 0.367040i) q^{3} +(-0.471127 - 1.44998i) q^{4} +(-1.85376 + 3.21080i) q^{5} +(-0.311099 - 0.538840i) q^{6} +(0.510810 - 0.567312i) q^{7} +(0.750969 - 2.31124i) q^{8} +(-1.46250 - 1.62427i) q^{9} +(-2.33530 + 1.03974i) q^{10} +(4.02569 + 0.855686i) q^{11} +(-0.143810 + 1.36826i) q^{12} +(0.304152 + 2.89381i) q^{13} +(0.514852 - 0.109435i) q^{14} +(2.70670 - 1.96653i) q^{15} +(-1.11127 + 0.807384i) q^{16} +(-1.27993 + 0.272057i) q^{17} +(-0.157525 - 1.49875i) q^{18} +(0.397160 - 3.77873i) q^{19} +(5.52896 + 1.17522i) q^{20} +(-0.629330 + 0.280196i) q^{21} +(1.89879 + 2.10882i) q^{22} +(-1.01449 + 3.12228i) q^{23} +(-1.46740 + 1.62972i) q^{24} +(-4.37284 - 7.57398i) q^{25} +(-1.00313 + 1.73747i) q^{26} +(1.44606 + 4.45052i) q^{27} +(-1.06325 - 0.473389i) q^{28} +(-3.96065 - 2.87758i) q^{29} +2.30681 q^{30} +(-1.63580 - 5.32204i) q^{31} -5.80746 q^{32} +(-3.00464 - 2.18300i) q^{33} +(-0.824217 - 0.366965i) q^{34} +(0.874609 + 2.69177i) q^{35} +(-1.66614 + 2.88584i) q^{36} +(5.20639 + 9.01773i) q^{37} +(1.75296 - 1.94686i) q^{38} +(0.811405 - 2.49725i) q^{39} +(6.02884 + 6.69570i) q^{40} +(0.690591 - 0.307471i) q^{41} +(-0.464603 - 0.0987545i) q^{42} +(0.748099 - 7.11768i) q^{43} +(-0.655882 - 6.24030i) q^{44} +(7.92634 - 1.68480i) q^{45} +(-1.83127 + 1.33050i) q^{46} +(0.708753 - 0.514939i) q^{47} +(1.21245 - 0.257715i) q^{48} +(0.670783 + 6.38208i) q^{49} +(0.630315 - 5.99705i) q^{50} +(1.15501 + 0.245505i) q^{51} +(4.05268 - 1.80437i) q^{52} +(2.39261 + 2.65727i) q^{53} +(-0.997049 + 3.06860i) q^{54} +(-10.2101 + 11.3395i) q^{55} +(-0.927595 - 1.60664i) q^{56} +(-1.71435 + 2.96935i) q^{57} +(-1.04309 - 3.21029i) q^{58} +(0.847103 + 0.377155i) q^{59} +(-4.12664 - 2.99818i) q^{60} +2.31704 q^{61} +(1.24441 - 3.63164i) q^{62} -1.66853 q^{63} +(-1.01693 - 0.738843i) q^{64} +(-9.85528 - 4.38785i) q^{65} +(-0.791311 - 2.43540i) q^{66} +(1.04345 - 1.80731i) q^{67} +(0.997488 + 1.72770i) q^{68} +(1.98233 - 2.20160i) q^{69} +(-0.603037 + 1.85596i) q^{70} +(-5.17645 - 5.74903i) q^{71} +(-4.85238 + 2.16042i) q^{72} +(5.53385 + 1.17626i) q^{73} +(-0.750466 + 7.14021i) q^{74} +(0.824950 + 7.84887i) q^{75} +(-5.66619 + 1.20439i) q^{76} +(2.54180 - 1.84673i) q^{77} +(1.46468 - 1.06415i) q^{78} +(13.7867 - 2.93046i) q^{79} +(-0.532328 - 5.06476i) q^{80} +(-0.243989 + 2.32140i) q^{81} +(0.509829 + 0.108368i) q^{82} +(-12.8880 + 5.73812i) q^{83} +(0.702773 + 0.780508i) q^{84} +(1.49916 - 4.61393i) q^{85} +(3.30191 - 3.66714i) q^{86} +(2.20891 + 3.82595i) q^{87} +(5.00086 - 8.66175i) q^{88} +(-1.37043 - 4.21776i) q^{89} +(5.10420 + 2.27254i) q^{90} +(1.79706 + 1.30564i) q^{91} +5.00520 q^{92} +(-0.604868 + 4.98781i) q^{93} +0.604042 q^{94} +(11.3965 + 8.28005i) q^{95} +(4.78758 + 2.13157i) q^{96} +(-1.63088 - 5.01933i) q^{97} +(-2.21232 + 3.83184i) q^{98} +(-4.49770 - 7.79025i) 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 \(\left(\mathbb{Z}/31\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.557811 + 0.405274i 0.394432 + 0.286572i 0.767269 0.641325i \(-0.221615\pi\)
−0.372837 + 0.927897i \(0.621615\pi\)
\(3\) −0.824384 0.367040i −0.475958 0.211910i 0.154714 0.987959i \(-0.450554\pi\)
−0.630673 + 0.776049i \(0.717221\pi\)
\(4\) −0.471127 1.44998i −0.235564 0.724990i
\(5\) −1.85376 + 3.21080i −0.829026 + 1.43591i 0.0697774 + 0.997563i \(0.477771\pi\)
−0.898803 + 0.438352i \(0.855562\pi\)
\(6\) −0.311099 0.538840i −0.127006 0.219981i
\(7\) 0.510810 0.567312i 0.193068 0.214424i −0.638836 0.769343i \(-0.720584\pi\)
0.831905 + 0.554919i \(0.187251\pi\)
\(8\) 0.750969 2.31124i 0.265508 0.817148i
\(9\) −1.46250 1.62427i −0.487500 0.541424i
\(10\) −2.33530 + 1.03974i −0.738487 + 0.328796i
\(11\) 4.02569 + 0.855686i 1.21379 + 0.257999i 0.769948 0.638106i \(-0.220282\pi\)
0.443842 + 0.896105i \(0.353615\pi\)
\(12\) −0.143810 + 1.36826i −0.0415145 + 0.394984i
\(13\) 0.304152 + 2.89381i 0.0843565 + 0.802599i 0.952141 + 0.305658i \(0.0988766\pi\)
−0.867785 + 0.496940i \(0.834457\pi\)
\(14\) 0.514852 0.109435i 0.137600 0.0292478i
\(15\) 2.70670 1.96653i 0.698867 0.507757i
\(16\) −1.11127 + 0.807384i −0.277817 + 0.201846i
\(17\) −1.27993 + 0.272057i −0.310429 + 0.0659836i −0.360492 0.932762i \(-0.617391\pi\)
0.0500631 + 0.998746i \(0.484058\pi\)
\(18\) −0.157525 1.49875i −0.0371290 0.353259i
\(19\) 0.397160 3.77873i 0.0911148 0.866900i −0.849538 0.527528i \(-0.823119\pi\)
0.940652 0.339371i \(-0.110214\pi\)
\(20\) 5.52896 + 1.17522i 1.23631 + 0.262786i
\(21\) −0.629330 + 0.280196i −0.137331 + 0.0611437i
\(22\) 1.89879 + 2.10882i 0.404823 + 0.449601i
\(23\) −1.01449 + 3.12228i −0.211536 + 0.651040i 0.787846 + 0.615873i \(0.211196\pi\)
−0.999381 + 0.0351674i \(0.988804\pi\)
\(24\) −1.46740 + 1.62972i −0.299533 + 0.332665i
\(25\) −4.37284 7.57398i −0.874568 1.51480i
\(26\) −1.00313 + 1.73747i −0.196729 + 0.340745i
\(27\) 1.44606 + 4.45052i 0.278295 + 0.856503i
\(28\) −1.06325 0.473389i −0.200935 0.0894620i
\(29\) −3.96065 2.87758i −0.735474 0.534353i 0.155816 0.987786i \(-0.450199\pi\)
−0.891290 + 0.453433i \(0.850199\pi\)
\(30\) 2.30681 0.421164
\(31\) −1.63580 5.32204i −0.293799 0.955867i
\(32\) −5.80746 −1.02662
\(33\) −3.00464 2.18300i −0.523041 0.380012i
\(34\) −0.824217 0.366965i −0.141352 0.0629340i
\(35\) 0.874609 + 2.69177i 0.147836 + 0.454992i
\(36\) −1.66614 + 2.88584i −0.277690 + 0.480973i
\(37\) 5.20639 + 9.01773i 0.855925 + 1.48251i 0.875784 + 0.482704i \(0.160345\pi\)
−0.0198583 + 0.999803i \(0.506321\pi\)
\(38\) 1.75296 1.94686i 0.284368 0.315822i
\(39\) 0.811405 2.49725i 0.129929 0.399880i
\(40\) 6.02884 + 6.69570i 0.953243 + 1.05868i
\(41\) 0.690591 0.307471i 0.107852 0.0480189i −0.352101 0.935962i \(-0.614533\pi\)
0.459953 + 0.887943i \(0.347866\pi\)
\(42\) −0.464603 0.0987545i −0.0716898 0.0152381i
\(43\) 0.748099 7.11768i 0.114084 1.08544i −0.776343 0.630311i \(-0.782928\pi\)
0.890427 0.455126i \(-0.150406\pi\)
\(44\) −0.655882 6.24030i −0.0988780 0.940761i
\(45\) 7.92634 1.68480i 1.18159 0.251154i
\(46\) −1.83127 + 1.33050i −0.270006 + 0.196171i
\(47\) 0.708753 0.514939i 0.103382 0.0751116i −0.534893 0.844920i \(-0.679648\pi\)
0.638275 + 0.769808i \(0.279648\pi\)
\(48\) 1.21245 0.257715i 0.175003 0.0371980i
\(49\) 0.670783 + 6.38208i 0.0958262 + 0.911725i
\(50\) 0.630315 5.99705i 0.0891400 0.848111i
\(51\) 1.15501 + 0.245505i 0.161734 + 0.0343776i
\(52\) 4.05268 1.80437i 0.562005 0.250221i
\(53\) 2.39261 + 2.65727i 0.328651 + 0.365004i 0.884712 0.466138i \(-0.154355\pi\)
−0.556062 + 0.831141i \(0.687688\pi\)
\(54\) −0.997049 + 3.06860i −0.135681 + 0.417584i
\(55\) −10.2101 + 11.3395i −1.37673 + 1.52901i
\(56\) −0.927595 1.60664i −0.123955 0.214696i
\(57\) −1.71435 + 2.96935i −0.227072 + 0.393300i
\(58\) −1.04309 3.21029i −0.136964 0.421532i
\(59\) 0.847103 + 0.377155i 0.110283 + 0.0491014i 0.461137 0.887329i \(-0.347442\pi\)
−0.350853 + 0.936430i \(0.614108\pi\)
\(60\) −4.12664 2.99818i −0.532746 0.387063i
\(61\) 2.31704 0.296666 0.148333 0.988937i \(-0.452609\pi\)
0.148333 + 0.988937i \(0.452609\pi\)
\(62\) 1.24441 3.63164i 0.158041 0.461219i
\(63\) −1.66853 −0.210215
\(64\) −1.01693 0.738843i −0.127116 0.0923554i
\(65\) −9.85528 4.38785i −1.22240 0.544246i
\(66\) −0.791311 2.43540i −0.0974036 0.299778i
\(67\) 1.04345 1.80731i 0.127478 0.220798i −0.795221 0.606320i \(-0.792645\pi\)
0.922699 + 0.385522i \(0.125979\pi\)
\(68\) 0.997488 + 1.72770i 0.120963 + 0.209514i
\(69\) 1.98233 2.20160i 0.238644 0.265041i
\(70\) −0.603037 + 1.85596i −0.0720767 + 0.221829i
\(71\) −5.17645 5.74903i −0.614332 0.682284i 0.353051 0.935604i \(-0.385144\pi\)
−0.967383 + 0.253320i \(0.918478\pi\)
\(72\) −4.85238 + 2.16042i −0.571858 + 0.254608i
\(73\) 5.53385 + 1.17626i 0.647688 + 0.137670i 0.520030 0.854148i \(-0.325921\pi\)
0.127658 + 0.991818i \(0.459254\pi\)
\(74\) −0.750466 + 7.14021i −0.0872399 + 0.830032i
\(75\) 0.824950 + 7.84887i 0.0952570 + 0.906310i
\(76\) −5.66619 + 1.20439i −0.649957 + 0.138153i
\(77\) 2.54180 1.84673i 0.289665 0.210454i
\(78\) 1.46468 1.06415i 0.165842 0.120492i
\(79\) 13.7867 2.93046i 1.55113 0.329702i 0.648869 0.760900i \(-0.275242\pi\)
0.902257 + 0.431198i \(0.141909\pi\)
\(80\) −0.532328 5.06476i −0.0595161 0.566257i
\(81\) −0.243989 + 2.32140i −0.0271098 + 0.257933i
\(82\) 0.509829 + 0.108368i 0.0563012 + 0.0119672i
\(83\) −12.8880 + 5.73812i −1.41465 + 0.629841i −0.964733 0.263231i \(-0.915212\pi\)
−0.449913 + 0.893072i \(0.648545\pi\)
\(84\) 0.702773 + 0.780508i 0.0766788 + 0.0851604i
\(85\) 1.49916 4.61393i 0.162606 0.500451i
\(86\) 3.30191 3.66714i 0.356054 0.395438i
\(87\) 2.20891 + 3.82595i 0.236820 + 0.410184i
\(88\) 5.00086 8.66175i 0.533094 0.923346i
\(89\) −1.37043 4.21776i −0.145266 0.447081i 0.851780 0.523900i \(-0.175524\pi\)
−0.997045 + 0.0768191i \(0.975524\pi\)
\(90\) 5.10420 + 2.27254i 0.538030 + 0.239547i
\(91\) 1.79706 + 1.30564i 0.188383 + 0.136868i
\(92\) 5.00520 0.521828
\(93\) −0.604868 + 4.98781i −0.0627219 + 0.517212i
\(94\) 0.604042 0.0623021
\(95\) 11.3965 + 8.28005i 1.16926 + 0.849515i
\(96\) 4.78758 + 2.13157i 0.488630 + 0.217552i
\(97\) −1.63088 5.01933i −0.165591 0.509636i 0.833489 0.552537i \(-0.186340\pi\)
−0.999079 + 0.0429007i \(0.986340\pi\)
\(98\) −2.21232 + 3.83184i −0.223478 + 0.387075i
\(99\) −4.49770 7.79025i −0.452036 0.782949i
\(100\) −8.92196 + 9.90884i −0.892196 + 0.990884i
\(101\) 1.17656 3.62108i 0.117072 0.360311i −0.875301 0.483578i \(-0.839337\pi\)
0.992374 + 0.123267i \(0.0393371\pi\)
\(102\) 0.544781 + 0.605040i 0.0539413 + 0.0599079i
\(103\) −5.70573 + 2.54035i −0.562202 + 0.250308i −0.668104 0.744068i \(-0.732894\pi\)
0.105902 + 0.994377i \(0.466227\pi\)
\(104\) 6.91671 + 1.47019i 0.678239 + 0.144164i
\(105\) 0.266972 2.54007i 0.0260538 0.247885i
\(106\) 0.257707 + 2.45192i 0.0250307 + 0.238151i
\(107\) −2.27653 + 0.483890i −0.220080 + 0.0467795i −0.316632 0.948548i \(-0.602552\pi\)
0.0965518 + 0.995328i \(0.469219\pi\)
\(108\) 5.77189 4.19352i 0.555400 0.403522i
\(109\) −1.19478 + 0.868057i −0.114439 + 0.0831448i −0.643533 0.765419i \(-0.722532\pi\)
0.529094 + 0.848563i \(0.322532\pi\)
\(110\) −10.2909 + 2.18740i −0.981197 + 0.208560i
\(111\) −0.982202 9.34503i −0.0932265 0.886991i
\(112\) −0.109609 + 1.04286i −0.0103570 + 0.0985407i
\(113\) −6.24112 1.32659i −0.587115 0.124795i −0.0952299 0.995455i \(-0.530359\pi\)
−0.491885 + 0.870660i \(0.663692\pi\)
\(114\) −2.15969 + 0.961554i −0.202273 + 0.0900578i
\(115\) −8.14440 9.04528i −0.759470 0.843476i
\(116\) −2.30647 + 7.09857i −0.214150 + 0.659086i
\(117\) 4.25551 4.72623i 0.393422 0.436940i
\(118\) 0.319673 + 0.553690i 0.0294283 + 0.0509713i
\(119\) −0.499460 + 0.865089i −0.0457854 + 0.0793026i
\(120\) −2.51249 7.73265i −0.229358 0.705891i
\(121\) 5.42495 + 2.41534i 0.493178 + 0.219577i
\(122\) 1.29247 + 0.939035i 0.117015 + 0.0850162i
\(123\) −0.682166 −0.0615089
\(124\) −6.94619 + 4.87924i −0.623786 + 0.438169i
\(125\) 13.8872 1.24211
\(126\) −0.930724 0.676211i −0.0829155 0.0602417i
\(127\) −1.30821 0.582453i −0.116085 0.0516843i 0.347872 0.937542i \(-0.386904\pi\)
−0.463957 + 0.885858i \(0.653571\pi\)
\(128\) 3.32139 + 10.2222i 0.293572 + 0.903521i
\(129\) −3.22919 + 5.59312i −0.284314 + 0.492447i
\(130\) −3.71911 6.44168i −0.326187 0.564973i
\(131\) 4.21077 4.67654i 0.367897 0.408591i −0.530564 0.847645i \(-0.678020\pi\)
0.898461 + 0.439054i \(0.144686\pi\)
\(132\) −1.74974 + 5.38514i −0.152295 + 0.468717i
\(133\) −1.94084 2.15553i −0.168293 0.186908i
\(134\) 1.31450 0.585254i 0.113556 0.0505582i
\(135\) −16.9704 3.60717i −1.46058 0.310456i
\(136\) −0.332396 + 3.16254i −0.0285027 + 0.271185i
\(137\) −1.33273 12.6801i −0.113863 1.08333i −0.891001 0.454001i \(-0.849996\pi\)
0.777139 0.629330i \(-0.216670\pi\)
\(138\) 1.99802 0.424691i 0.170082 0.0361521i
\(139\) −15.1397 + 10.9997i −1.28414 + 0.932979i −0.999670 0.0257067i \(-0.991816\pi\)
−0.284466 + 0.958686i \(0.591816\pi\)
\(140\) 3.49096 2.53633i 0.295040 0.214359i
\(141\) −0.773288 + 0.164367i −0.0651226 + 0.0138422i
\(142\) −0.557552 5.30475i −0.0467887 0.445165i
\(143\) −1.25177 + 11.9098i −0.104679 + 0.995950i
\(144\) 2.93664 + 0.624203i 0.244720 + 0.0520169i
\(145\) 16.5814 7.38253i 1.37701 0.613086i
\(146\) 2.61014 + 2.89885i 0.216017 + 0.239911i
\(147\) 1.78949 5.50749i 0.147595 0.454250i
\(148\) 10.6227 11.7977i 0.873178 0.969762i
\(149\) 10.0677 + 17.4377i 0.824774 + 1.42855i 0.902092 + 0.431545i \(0.142031\pi\)
−0.0773172 + 0.997007i \(0.524635\pi\)
\(150\) −2.72078 + 4.71252i −0.222150 + 0.384776i
\(151\) 4.75035 + 14.6201i 0.386578 + 1.18977i 0.935329 + 0.353779i \(0.115104\pi\)
−0.548751 + 0.835986i \(0.684896\pi\)
\(152\) −8.43531 3.75564i −0.684194 0.304623i
\(153\) 2.31379 + 1.68107i 0.187059 + 0.135906i
\(154\) 2.16628 0.174564
\(155\) 20.1204 + 4.61353i 1.61611 + 0.370568i
\(156\) −4.00324 −0.320515
\(157\) −12.2544 8.90334i −0.978008 0.710564i −0.0207452 0.999785i \(-0.506604\pi\)
−0.957262 + 0.289221i \(0.906604\pi\)
\(158\) 8.87802 + 3.95275i 0.706298 + 0.314464i
\(159\) −0.997111 3.06879i −0.0790760 0.243371i
\(160\) 10.7656 18.6466i 0.851098 1.47414i
\(161\) 1.25310 + 2.17042i 0.0987577 + 0.171053i
\(162\) −1.07690 + 1.19602i −0.0846093 + 0.0939681i
\(163\) −0.322882 + 0.993730i −0.0252901 + 0.0778349i −0.962905 0.269841i \(-0.913029\pi\)
0.937615 + 0.347676i \(0.113029\pi\)
\(164\) −0.771183 0.856485i −0.0602193 0.0668803i
\(165\) 12.5791 5.60056i 0.979279 0.436003i
\(166\) −9.51460 2.02239i −0.738477 0.156968i
\(167\) 1.18006 11.2276i 0.0913161 0.868815i −0.848973 0.528437i \(-0.822778\pi\)
0.940289 0.340378i \(-0.110555\pi\)
\(168\) 0.174994 + 1.66495i 0.0135011 + 0.128454i
\(169\) 4.43428 0.942536i 0.341099 0.0725028i
\(170\) 2.70615 1.96613i 0.207552 0.150796i
\(171\) −6.71853 + 4.88129i −0.513778 + 0.373282i
\(172\) −10.6730 + 2.26861i −0.813805 + 0.172980i
\(173\) 2.15879 + 20.5395i 0.164130 + 1.56159i 0.698045 + 0.716054i \(0.254054\pi\)
−0.533915 + 0.845538i \(0.679280\pi\)
\(174\) −0.318400 + 3.02937i −0.0241378 + 0.229656i
\(175\) −6.53050 1.38810i −0.493660 0.104931i
\(176\) −5.16449 + 2.29938i −0.389288 + 0.173322i
\(177\) −0.559908 0.621841i −0.0420853 0.0467404i
\(178\) 0.944903 2.90811i 0.0708235 0.217972i
\(179\) −0.0880993 + 0.0978442i −0.00658485 + 0.00731322i −0.746428 0.665466i \(-0.768233\pi\)
0.739843 + 0.672779i \(0.234900\pi\)
\(180\) −6.17723 10.6993i −0.460424 0.797477i
\(181\) −3.86599 + 6.69610i −0.287357 + 0.497717i −0.973178 0.230053i \(-0.926110\pi\)
0.685821 + 0.727770i \(0.259443\pi\)
\(182\) 0.473278 + 1.45660i 0.0350817 + 0.107970i
\(183\) −1.91013 0.850445i −0.141201 0.0628667i
\(184\) 6.45450 + 4.68947i 0.475832 + 0.345712i
\(185\) −38.6056 −2.83834
\(186\) −2.35883 + 2.53712i −0.172958 + 0.186031i
\(187\) −5.38539 −0.393819
\(188\) −1.08056 0.785076i −0.0788083 0.0572576i
\(189\) 3.26350 + 1.45300i 0.237385 + 0.105690i
\(190\) 3.00142 + 9.23741i 0.217746 + 0.670152i
\(191\) 10.5513 18.2755i 0.763468 1.32237i −0.177585 0.984106i \(-0.556828\pi\)
0.941053 0.338260i \(-0.109838\pi\)
\(192\) 0.567157 + 0.982344i 0.0409310 + 0.0708946i
\(193\) 3.78944 4.20860i 0.272770 0.302942i −0.591159 0.806555i \(-0.701330\pi\)
0.863929 + 0.503613i \(0.167996\pi\)
\(194\) 1.12448 3.46079i 0.0807330 0.248471i
\(195\) 6.51402 + 7.23456i 0.466479 + 0.518077i
\(196\) 8.93786 3.97939i 0.638419 0.284242i
\(197\) −15.5670 3.30887i −1.10910 0.235747i −0.383283 0.923631i \(-0.625207\pi\)
−0.725821 + 0.687883i \(0.758540\pi\)
\(198\) 0.648313 6.16829i 0.0460736 0.438361i
\(199\) 0.445443 + 4.23811i 0.0315766 + 0.300432i 0.998900 + 0.0468866i \(0.0149299\pi\)
−0.967324 + 0.253545i \(0.918403\pi\)
\(200\) −20.7892 + 4.41888i −1.47002 + 0.312462i
\(201\) −1.52356 + 1.10693i −0.107463 + 0.0780767i
\(202\) 2.12383 1.54305i 0.149432 0.108569i
\(203\) −3.65563 + 0.777027i −0.256575 + 0.0545366i
\(204\) −0.188179 1.79041i −0.0131752 0.125353i
\(205\) −0.292960 + 2.78733i −0.0204612 + 0.194675i
\(206\) −4.21226 0.895343i −0.293482 0.0623815i
\(207\) 6.55512 2.91853i 0.455612 0.202852i
\(208\) −2.67441 2.97024i −0.185437 0.205949i
\(209\) 4.83225 14.8721i 0.334254 1.02873i
\(210\) 1.17834 1.30868i 0.0813134 0.0903077i
\(211\) 5.75414 + 9.96646i 0.396131 + 0.686120i 0.993245 0.116037i \(-0.0370191\pi\)
−0.597113 + 0.802157i \(0.703686\pi\)
\(212\) 2.72576 4.72115i 0.187206 0.324250i
\(213\) 2.15726 + 6.63937i 0.147813 + 0.454922i
\(214\) −1.46598 0.652696i −0.100212 0.0446174i
\(215\) 21.4667 + 15.5965i 1.46402 + 1.06367i
\(216\) 11.3722 0.773780
\(217\) −3.85485 1.79054i −0.261684 0.121550i
\(218\) −1.01826 −0.0689654
\(219\) −4.13028 3.00083i −0.279099 0.202777i
\(220\) 21.2522 + 9.46211i 1.43283 + 0.637935i
\(221\) −1.17658 3.62113i −0.0791450 0.243583i
\(222\) 3.23941 5.61082i 0.217415 0.376574i
\(223\) −4.71196 8.16135i −0.315536 0.546524i 0.664015 0.747719i \(-0.268851\pi\)
−0.979551 + 0.201195i \(0.935518\pi\)
\(224\) −2.96651 + 3.29464i −0.198208 + 0.220133i
\(225\) −5.90692 + 18.1796i −0.393795 + 1.21197i
\(226\) −2.94373 3.26935i −0.195814 0.217474i
\(227\) 19.8815 8.85182i 1.31958 0.587516i 0.378471 0.925613i \(-0.376450\pi\)
0.941111 + 0.338097i \(0.109783\pi\)
\(228\) 5.11318 + 1.08684i 0.338629 + 0.0719777i
\(229\) −1.77237 + 16.8630i −0.117122 + 1.11434i 0.765233 + 0.643754i \(0.222624\pi\)
−0.882355 + 0.470585i \(0.844043\pi\)
\(230\) −0.877228 8.34627i −0.0578427 0.550337i
\(231\) −2.77324 + 0.589471i −0.182466 + 0.0387844i
\(232\) −9.62511 + 6.99305i −0.631920 + 0.459117i
\(233\) 7.95758 5.78152i 0.521318 0.378760i −0.295782 0.955255i \(-0.595580\pi\)
0.817100 + 0.576496i \(0.195580\pi\)
\(234\) 4.28919 0.911695i 0.280393 0.0595994i
\(235\) 0.339512 + 3.23024i 0.0221473 + 0.210718i
\(236\) 0.147774 1.40597i 0.00961924 0.0915209i
\(237\) −12.4411 2.64445i −0.808139 0.171775i
\(238\) −0.629202 + 0.280139i −0.0407851 + 0.0181587i
\(239\) 0.395212 + 0.438927i 0.0255641 + 0.0283919i 0.755791 0.654813i \(-0.227252\pi\)
−0.730227 + 0.683204i \(0.760586\pi\)
\(240\) −1.42012 + 4.37069i −0.0916687 + 0.282127i
\(241\) 10.2848 11.4225i 0.662504 0.735786i −0.314440 0.949277i \(-0.601817\pi\)
0.976945 + 0.213491i \(0.0684836\pi\)
\(242\) 2.04722 + 3.54590i 0.131601 + 0.227939i
\(243\) 8.07252 13.9820i 0.517852 0.896946i
\(244\) −1.09162 3.35966i −0.0698838 0.215080i
\(245\) −21.7351 9.67707i −1.38860 0.618245i
\(246\) −0.380520 0.276464i −0.0242611 0.0176267i
\(247\) 11.0557 0.703459
\(248\) −13.5290 0.215944i −0.859091 0.0137124i
\(249\) 12.7308 0.806783
\(250\) 7.74642 + 5.62810i 0.489926 + 0.355952i
\(251\) −5.52832 2.46137i −0.348945 0.155360i 0.224778 0.974410i \(-0.427834\pi\)
−0.573722 + 0.819050i \(0.694501\pi\)
\(252\) 0.786090 + 2.41933i 0.0495190 + 0.152404i
\(253\) −6.75571 + 11.7012i −0.424728 + 0.735650i
\(254\) −0.493682 0.855082i −0.0309763 0.0536526i
\(255\) −2.92938 + 3.25340i −0.183445 + 0.203736i
\(256\) −3.06694 + 9.43906i −0.191684 + 0.589942i
\(257\) −3.02972 3.36484i −0.188988 0.209893i 0.641203 0.767371i \(-0.278436\pi\)
−0.830192 + 0.557478i \(0.811769\pi\)
\(258\) −4.06803 + 1.81120i −0.253264 + 0.112760i
\(259\) 7.77535 + 1.65270i 0.483137 + 0.102694i
\(260\) −1.71921 + 16.3572i −0.106621 + 1.01443i
\(261\) 1.11848 + 10.6416i 0.0692322 + 0.658700i
\(262\) 4.24409 0.902110i 0.262201 0.0557325i
\(263\) 2.02971 1.47467i 0.125157 0.0909322i −0.523445 0.852059i \(-0.675354\pi\)
0.648603 + 0.761127i \(0.275354\pi\)
\(264\) −7.30184 + 5.30510i −0.449397 + 0.326506i
\(265\) −12.9673 + 2.75628i −0.796574 + 0.169317i
\(266\) −0.209047 1.98895i −0.0128175 0.121950i
\(267\) −0.418321 + 3.98005i −0.0256008 + 0.243575i
\(268\) −3.11216 0.661509i −0.190105 0.0404081i
\(269\) 12.1865 5.42577i 0.743023 0.330815i −7.27860e−5 1.00000i \(-0.500023\pi\)
0.743096 + 0.669185i \(0.233357\pi\)
\(270\) −8.00439 8.88978i −0.487132 0.541015i
\(271\) 4.27190 13.1476i 0.259500 0.798658i −0.733410 0.679787i \(-0.762072\pi\)
0.992910 0.118871i \(-0.0379276\pi\)
\(272\) 1.20269 1.33572i 0.0729239 0.0809902i
\(273\) −1.00225 1.73594i −0.0606586 0.105064i
\(274\) 4.39548 7.61320i 0.265541 0.459930i
\(275\) −11.1227 34.2322i −0.670726 2.06428i
\(276\) −4.12621 1.83711i −0.248368 0.110581i
\(277\) −9.36093 6.80111i −0.562444 0.408639i 0.269909 0.962886i \(-0.413006\pi\)
−0.832353 + 0.554247i \(0.813006\pi\)
\(278\) −12.9030 −0.773870
\(279\) −6.25208 + 10.4405i −0.374302 + 0.625055i
\(280\) 6.87814 0.411048
\(281\) 12.4583 + 9.05151i 0.743202 + 0.539968i 0.893712 0.448641i \(-0.148092\pi\)
−0.150510 + 0.988608i \(0.548092\pi\)
\(282\) −0.497962 0.221707i −0.0296532 0.0132025i
\(283\) −7.01336 21.5849i −0.416901 1.28309i −0.910539 0.413422i \(-0.864333\pi\)
0.493638 0.869667i \(-0.335667\pi\)
\(284\) −5.89722 + 10.2143i −0.349935 + 0.606106i
\(285\) −6.35600 11.0089i −0.376497 0.652112i
\(286\) −5.52500 + 6.13613i −0.326700 + 0.362837i
\(287\) 0.178329 0.548840i 0.0105264 0.0323970i
\(288\) 8.49342 + 9.43289i 0.500479 + 0.555839i
\(289\) −13.9661 + 6.21809i −0.821533 + 0.365770i
\(290\) 12.2413 + 2.60196i 0.718831 + 0.152792i
\(291\) −0.497822 + 4.73646i −0.0291828 + 0.277656i
\(292\) −0.901599 8.57814i −0.0527621 0.501998i
\(293\) −12.1299 + 2.57828i −0.708635 + 0.150625i −0.548109 0.836407i \(-0.684652\pi\)
−0.160525 + 0.987032i \(0.551319\pi\)
\(294\) 3.23024 2.34690i 0.188391 0.136874i
\(295\) −2.78129 + 2.02073i −0.161933 + 0.117651i
\(296\) 24.7520 5.26121i 1.43868 0.305801i
\(297\) 2.01314 + 19.1538i 0.116814 + 1.11142i
\(298\) −1.45118 + 13.8071i −0.0840649 + 0.799824i
\(299\) −9.34384 1.98610i −0.540368 0.114859i
\(300\) 10.9921 4.89398i 0.634627 0.282554i
\(301\) −3.65581 4.06019i −0.210718 0.234026i
\(302\) −3.27533 + 10.0804i −0.188474 + 0.580064i
\(303\) −2.29902 + 2.55332i −0.132075 + 0.146684i
\(304\) 2.60953 + 4.51984i 0.149667 + 0.259231i
\(305\) −4.29523 + 7.43956i −0.245944 + 0.425988i
\(306\) 0.609367 + 1.87544i 0.0348352 + 0.107212i
\(307\) 28.0641 + 12.4949i 1.60170 + 0.713124i 0.996551 0.0829855i \(-0.0264455\pi\)
0.605152 + 0.796110i \(0.293112\pi\)
\(308\) −3.87523 2.81552i −0.220812 0.160429i
\(309\) 5.63612 0.320628
\(310\) 9.35366 + 10.7278i 0.531252 + 0.609296i
\(311\) 2.38141 0.135037 0.0675187 0.997718i \(-0.478492\pi\)
0.0675187 + 0.997718i \(0.478492\pi\)
\(312\) −5.16241 3.75071i −0.292264 0.212342i
\(313\) 9.81659 + 4.37063i 0.554866 + 0.247042i 0.664960 0.746879i \(-0.268449\pi\)
−0.110094 + 0.993921i \(0.535115\pi\)
\(314\) −3.22735 9.93277i −0.182130 0.560539i
\(315\) 3.09305 5.35732i 0.174274 0.301851i
\(316\) −10.7444 18.6098i −0.604420 1.04689i
\(317\) 5.85245 6.49980i 0.328706 0.365065i −0.556026 0.831165i \(-0.687674\pi\)
0.884732 + 0.466100i \(0.154341\pi\)
\(318\) 0.687501 2.11591i 0.0385531 0.118654i
\(319\) −13.4820 14.9733i −0.754849 0.838344i
\(320\) 4.25742 1.89553i 0.237997 0.105963i
\(321\) 2.05434 + 0.436663i 0.114662 + 0.0243722i
\(322\) −0.180625 + 1.71853i −0.0100658 + 0.0957701i
\(323\) 0.519694 + 4.94456i 0.0289165 + 0.275122i
\(324\) 3.48093 0.739894i 0.193385 0.0411052i
\(325\) 20.5877 14.9578i 1.14200 0.829710i
\(326\) −0.582840 + 0.423458i −0.0322805 + 0.0234532i
\(327\) 1.30357 0.277082i 0.0720874 0.0153227i
\(328\) −0.192028 1.82703i −0.0106030 0.100881i
\(329\) 0.0699070 0.665120i 0.00385410 0.0366693i
\(330\) 9.28650 + 1.97391i 0.511205 + 0.108660i
\(331\) −29.5706 + 13.1657i −1.62535 + 0.723652i −0.998461 0.0554567i \(-0.982339\pi\)
−0.626889 + 0.779109i \(0.715672\pi\)
\(332\) 14.3921 + 15.9840i 0.789868 + 0.877237i
\(333\) 7.03290 21.6450i 0.385400 1.18614i
\(334\) 5.20849 5.78461i 0.284996 0.316520i
\(335\) 3.86860 + 6.70062i 0.211364 + 0.366094i
\(336\) 0.473129 0.819484i 0.0258113 0.0447065i
\(337\) 8.57021 + 26.3764i 0.466849 + 1.43681i 0.856642 + 0.515912i \(0.172547\pi\)
−0.389792 + 0.920903i \(0.627453\pi\)
\(338\) 2.85548 + 1.27134i 0.155318 + 0.0691518i
\(339\) 4.65817 + 3.38436i 0.252997 + 0.183813i
\(340\) −7.39640 −0.401126
\(341\) −2.03124 22.8246i −0.109998 1.23602i
\(342\) −5.72593 −0.309623
\(343\) 8.28646 + 6.02047i 0.447427 + 0.325075i
\(344\) −15.8889 7.07420i −0.856672 0.381415i
\(345\) 3.39414 + 10.4461i 0.182735 + 0.562399i
\(346\) −7.11994 + 12.3321i −0.382770 + 0.662977i
\(347\) 12.9580 + 22.4440i 0.695624 + 1.20486i 0.969970 + 0.243224i \(0.0782051\pi\)
−0.274347 + 0.961631i \(0.588462\pi\)
\(348\) 4.50687 5.00539i 0.241594 0.268317i
\(349\) 1.72862 5.32015i 0.0925309 0.284781i −0.894071 0.447924i \(-0.852163\pi\)
0.986602 + 0.163144i \(0.0521634\pi\)
\(350\) −3.08023 3.42094i −0.164645 0.182857i
\(351\) −12.4391 + 5.53827i −0.663953 + 0.295611i
\(352\) −23.3790 4.96936i −1.24611 0.264868i
\(353\) −1.21974 + 11.6051i −0.0649202 + 0.617675i 0.912893 + 0.408198i \(0.133843\pi\)
−0.977814 + 0.209477i \(0.932824\pi\)
\(354\) −0.0603073 0.573786i −0.00320530 0.0304964i
\(355\) 28.0549 5.96325i 1.48900 0.316497i
\(356\) −5.47002 + 3.97420i −0.289910 + 0.210632i
\(357\) 0.729269 0.529845i 0.0385970 0.0280424i
\(358\) −0.0887965 + 0.0188743i −0.00469304 + 0.000997537i
\(359\) −2.73863 26.0563i −0.144539 1.37520i −0.790796 0.612080i \(-0.790333\pi\)
0.646257 0.763120i \(-0.276334\pi\)
\(360\) 2.05846 19.5849i 0.108490 1.03222i
\(361\) 4.46376 + 0.948801i 0.234935 + 0.0499369i
\(362\) −4.87025 + 2.16837i −0.255974 + 0.113967i
\(363\) −3.58572 3.98234i −0.188201 0.209019i
\(364\) 1.04651 3.22082i 0.0548519 0.168817i
\(365\) −14.0351 + 15.5876i −0.734633 + 0.815893i
\(366\) −0.720830 1.24851i −0.0376784 0.0652608i
\(367\) −13.5073 + 23.3953i −0.705076 + 1.22123i 0.261589 + 0.965179i \(0.415754\pi\)
−0.966664 + 0.256047i \(0.917580\pi\)
\(368\) −1.39351 4.28877i −0.0726416 0.223568i
\(369\) −1.50941 0.672031i −0.0785765 0.0349845i
\(370\) −21.5346 15.6458i −1.11953 0.813387i
\(371\) 2.72967 0.141717
\(372\) 7.51720 1.47285i 0.389749 0.0763636i
\(373\) −12.4058 −0.642351 −0.321175 0.947020i \(-0.604078\pi\)
−0.321175 + 0.947020i \(0.604078\pi\)
\(374\) −3.00403 2.18256i −0.155335 0.112857i
\(375\) −11.4484 5.09714i −0.591191 0.263215i
\(376\) −0.657899 2.02480i −0.0339285 0.104421i
\(377\) 7.12253 12.3366i 0.366829 0.635367i
\(378\) 1.23155 + 2.13311i 0.0633442 + 0.109715i
\(379\) −3.10411 + 3.44746i −0.159447 + 0.177084i −0.817575 0.575822i \(-0.804682\pi\)
0.658128 + 0.752906i \(0.271349\pi\)
\(380\) 6.63670 20.4257i 0.340456 1.04782i
\(381\) 0.864685 + 0.960330i 0.0442991 + 0.0491992i
\(382\) 13.2922 5.91808i 0.680089 0.302795i
\(383\) 4.91161 + 1.04399i 0.250971 + 0.0533456i 0.331679 0.943392i \(-0.392385\pi\)
−0.0807080 + 0.996738i \(0.525718\pi\)
\(384\) 1.01384 9.64608i 0.0517375 0.492250i
\(385\) 1.21759 + 11.5846i 0.0620542 + 0.590407i
\(386\) 3.81943 0.811845i 0.194404 0.0413218i
\(387\) −12.6551 + 9.19450i −0.643297 + 0.467383i
\(388\) −6.50958 + 4.72949i −0.330474 + 0.240103i
\(389\) −18.1953 + 3.86754i −0.922540 + 0.196092i −0.644612 0.764510i \(-0.722981\pi\)
−0.277928 + 0.960602i \(0.589648\pi\)
\(390\) 0.701621 + 6.67548i 0.0355280 + 0.338026i
\(391\) 0.449036 4.27230i 0.0227087 0.216059i
\(392\) 15.2543 + 3.24240i 0.770457 + 0.163766i
\(393\) −5.18777 + 2.30974i −0.261688 + 0.116511i
\(394\) −7.34246 8.15463i −0.369908 0.410824i
\(395\) −16.1481 + 49.6988i −0.812500 + 2.50062i
\(396\) −9.17672 + 10.1918i −0.461147 + 0.512156i
\(397\) −16.2794 28.1968i −0.817040 1.41515i −0.907854 0.419287i \(-0.862280\pi\)
0.0908142 0.995868i \(-0.471053\pi\)
\(398\) −1.46912 + 2.54459i −0.0736404 + 0.127549i
\(399\) 0.808838 + 2.48935i 0.0404926 + 0.124623i
\(400\) 10.9745 + 4.88617i 0.548725 + 0.244308i
\(401\) 10.0239 + 7.28282i 0.500572 + 0.363687i 0.809235 0.587485i \(-0.199882\pi\)
−0.308664 + 0.951171i \(0.599882\pi\)
\(402\) −1.29847 −0.0647616
\(403\) 14.9035 6.35242i 0.742394 0.316437i
\(404\) −5.80481 −0.288800
\(405\) −7.00125 5.08671i −0.347895 0.252760i
\(406\) −2.35406 1.04809i −0.116830 0.0520161i
\(407\) 13.2429 + 40.7576i 0.656429 + 2.02028i
\(408\) 1.43480 2.48514i 0.0710331 0.123033i
\(409\) 1.72404 + 2.98613i 0.0852484 + 0.147654i 0.905497 0.424353i \(-0.139498\pi\)
−0.820249 + 0.572007i \(0.806165\pi\)
\(410\) −1.29305 + 1.43607i −0.0638590 + 0.0709227i
\(411\) −3.55540 + 10.9424i −0.175375 + 0.539749i
\(412\) 6.37158 + 7.07636i 0.313905 + 0.348627i
\(413\) 0.646673 0.287918i 0.0318207 0.0141675i
\(414\) 4.83932 + 1.02863i 0.237840 + 0.0505544i
\(415\) 5.46732 52.0180i 0.268380 2.55347i
\(416\) −1.76635 16.8057i −0.0866024 0.823967i
\(417\) 16.5183 3.51107i 0.808903 0.171938i
\(418\) 8.72276 6.33746i 0.426644 0.309975i
\(419\) 32.3988 23.5391i 1.58279 1.14996i 0.669374 0.742926i \(-0.266563\pi\)
0.913412 0.407035i \(-0.133437\pi\)
\(420\) −3.80883 + 0.809592i −0.185852 + 0.0395040i
\(421\) −2.26664 21.5656i −0.110469 1.05104i −0.899569 0.436779i \(-0.856119\pi\)
0.789100 0.614265i \(-0.210548\pi\)
\(422\) −0.829421 + 7.89141i −0.0403756 + 0.384148i
\(423\) −1.87295 0.398108i −0.0910660 0.0193567i
\(424\) 7.93837 3.53439i 0.385521 0.171645i
\(425\) 7.65748 + 8.50450i 0.371442 + 0.412529i
\(426\) −1.48742 + 4.57780i −0.0720656 + 0.221795i
\(427\) 1.18357 1.31448i 0.0572768 0.0636124i
\(428\) 1.77417 + 3.07294i 0.0857575 + 0.148536i
\(429\) 5.40332 9.35883i 0.260875 0.451849i
\(430\) 5.65353 + 17.3998i 0.272637 + 0.839091i
\(431\) −10.6160 4.72655i −0.511355 0.227670i 0.134805 0.990872i \(-0.456959\pi\)
−0.646160 + 0.763202i \(0.723626\pi\)
\(432\) −5.20024 3.77820i −0.250197 0.181779i
\(433\) 24.5964 1.18203 0.591015 0.806661i \(-0.298728\pi\)
0.591015 + 0.806661i \(0.298728\pi\)
\(434\) −1.42462 2.56105i −0.0683838 0.122934i
\(435\) −16.3791 −0.785320
\(436\) 1.82156 + 1.32344i 0.0872368 + 0.0633813i
\(437\) 11.3953 + 5.07353i 0.545112 + 0.242700i
\(438\) −1.08776 3.34779i −0.0519753 0.159964i
\(439\) −9.09662 + 15.7558i −0.434158 + 0.751984i −0.997227 0.0744265i \(-0.976287\pi\)
0.563068 + 0.826410i \(0.309621\pi\)
\(440\) 18.5408 + 32.1136i 0.883897 + 1.53096i
\(441\) 9.38520 10.4233i 0.446914 0.496349i
\(442\) 0.811240 2.49674i 0.0385868 0.118758i
\(443\) 11.8840 + 13.1985i 0.564625 + 0.627080i 0.956076 0.293119i \(-0.0946933\pi\)
−0.391451 + 0.920199i \(0.628027\pi\)
\(444\) −13.0874 + 5.82687i −0.621099 + 0.276531i
\(445\) 16.0828 + 3.41851i 0.762400 + 0.162053i
\(446\) 0.679196 6.46212i 0.0321609 0.305990i
\(447\) −1.89929 18.0706i −0.0898336 0.854709i
\(448\) −0.938613 + 0.199508i −0.0443453 + 0.00942588i
\(449\) 7.44180 5.40679i 0.351200 0.255162i −0.398172 0.917311i \(-0.630355\pi\)
0.749372 + 0.662149i \(0.230355\pi\)
\(450\) −10.6627 + 7.74688i −0.502643 + 0.365192i
\(451\) 3.04320 0.646852i 0.143299 0.0304591i
\(452\) 1.01683 + 9.67449i 0.0478277 + 0.455050i
\(453\) 1.45003 13.7961i 0.0681284 0.648199i
\(454\) 14.6775 + 3.11981i 0.688851 + 0.146420i
\(455\) −7.52346 + 3.34966i −0.352705 + 0.157035i
\(456\) 5.57547 + 6.19218i 0.261095 + 0.289975i
\(457\) −9.64130 + 29.6729i −0.451001 + 1.38804i 0.424766 + 0.905303i \(0.360356\pi\)
−0.875767 + 0.482735i \(0.839644\pi\)
\(458\) −7.82278 + 8.68808i −0.365535 + 0.405967i
\(459\) −3.06166 5.30294i −0.142906 0.247520i
\(460\) −9.27842 + 16.0707i −0.432609 + 0.749300i
\(461\) −2.06067 6.34209i −0.0959750 0.295381i 0.891532 0.452959i \(-0.149631\pi\)
−0.987507 + 0.157578i \(0.949631\pi\)
\(462\) −1.78584 0.795109i −0.0830850 0.0369918i
\(463\) −28.5732 20.7597i −1.32791 0.964784i −0.999797 0.0201457i \(-0.993587\pi\)
−0.328114 0.944638i \(-0.606413\pi\)
\(464\) 6.72466 0.312184
\(465\) −14.8936 11.1883i −0.690675 0.518846i
\(466\) 6.78192 0.314167
\(467\) −29.0789 21.1270i −1.34561 0.977642i −0.999218 0.0395520i \(-0.987407\pi\)
−0.346391 0.938090i \(-0.612593\pi\)
\(468\) −8.85782 3.94376i −0.409453 0.182300i
\(469\) −0.492303 1.51515i −0.0227324 0.0699632i
\(470\) −1.11975 + 1.93946i −0.0516501 + 0.0894606i
\(471\) 6.83446 + 11.8376i 0.314915 + 0.545449i
\(472\) 1.50784 1.67463i 0.0694042 0.0770811i
\(473\) 9.10211 28.0134i 0.418516 1.28806i
\(474\) −5.86809 6.51717i −0.269530 0.299344i
\(475\) −30.3567 + 13.5157i −1.39286 + 0.620142i
\(476\) 1.48967 + 0.316640i 0.0682790 + 0.0145131i
\(477\) 0.816923 7.77251i 0.0374043 0.355879i
\(478\) 0.0425680 + 0.405008i 0.00194702 + 0.0185246i
\(479\) −32.5179 + 6.91190i −1.48578 + 0.315813i −0.878142 0.478400i \(-0.841217\pi\)
−0.607640 + 0.794212i \(0.707884\pi\)
\(480\) −15.7191 + 11.4206i −0.717474 + 0.521275i
\(481\) −24.5121 + 17.8091i −1.11765 + 0.812024i
\(482\) 10.3662 2.20341i 0.472168 0.100363i
\(483\) −0.236400 2.24920i −0.0107566 0.102342i
\(484\) 0.946360 9.00401i 0.0430163 0.409273i
\(485\) 19.1393 + 4.06819i 0.869073 + 0.184727i
\(486\) 10.1695 4.52775i 0.461297 0.205383i
\(487\) 19.0805 + 21.1910i 0.864620 + 0.960258i 0.999532 0.0305999i \(-0.00974178\pi\)
−0.134912 + 0.990858i \(0.543075\pi\)
\(488\) 1.74002 5.35524i 0.0787672 0.242420i
\(489\) 0.630917 0.700705i 0.0285311 0.0316870i
\(490\) −8.20220 14.2066i −0.370538 0.641790i
\(491\) 13.9818 24.2172i 0.630991 1.09291i −0.356359 0.934349i \(-0.615982\pi\)
0.987350 0.158559i \(-0.0506848\pi\)
\(492\) 0.321387 + 0.989128i 0.0144892 + 0.0445933i
\(493\) 5.85222 + 2.60558i 0.263571 + 0.117349i
\(494\) 6.16701 + 4.48059i 0.277467 + 0.201591i
\(495\) 33.3506 1.49900
\(496\) 6.11475 + 4.59350i 0.274560 + 0.206254i
\(497\) −5.90568 −0.264906
\(498\) 7.10139 + 5.15946i 0.318221 + 0.231201i
\(499\) −37.7340 16.8002i −1.68920 0.752082i −0.999611 0.0278849i \(-0.991123\pi\)
−0.689593 0.724197i \(-0.742211\pi\)
\(500\) −6.54262 20.1361i −0.292595 0.900514i
\(501\) −5.09378 + 8.82269i −0.227573 + 0.394169i
\(502\) −2.08623 3.61346i −0.0931132 0.161277i
\(503\) −17.1204 + 19.0141i −0.763361 + 0.847798i −0.992069 0.125697i \(-0.959883\pi\)
0.228708 + 0.973495i \(0.426550\pi\)
\(504\) −1.25301 + 3.85638i −0.0558136 + 0.171777i
\(505\) 9.44552 + 10.4903i 0.420320 + 0.466813i
\(506\) −8.51061 + 3.78917i −0.378343 + 0.168449i
\(507\) −4.00150 0.850545i −0.177713 0.0377741i
\(508\) −0.228212 + 2.17129i −0.0101253 + 0.0963353i
\(509\) 2.55758 + 24.3337i 0.113363 + 1.07857i 0.892291 + 0.451461i \(0.149097\pi\)
−0.778928 + 0.627113i \(0.784236\pi\)
\(510\) −2.95256 + 0.627585i −0.130741 + 0.0277900i
\(511\) 3.49405 2.53858i 0.154568 0.112300i
\(512\) 11.8548 8.61304i 0.523915 0.380646i
\(513\) 17.3916 3.69670i 0.767859 0.163213i
\(514\) −0.326329 3.10481i −0.0143937 0.136947i
\(515\) 2.42046 23.0292i 0.106658 1.01479i
\(516\) 9.63128 + 2.04719i 0.423994 + 0.0901226i
\(517\) 3.29384 1.46651i 0.144863 0.0644972i
\(518\) 3.66738 + 4.07304i 0.161135 + 0.178959i
\(519\) 5.75915 17.7248i 0.252799 0.778034i
\(520\) −17.5424 + 19.4828i −0.769286 + 0.854378i
\(521\) −7.48279 12.9606i −0.327827 0.567813i 0.654253 0.756275i \(-0.272983\pi\)
−0.982080 + 0.188462i \(0.939650\pi\)
\(522\) −3.68887 + 6.38931i −0.161458 + 0.279653i
\(523\) −6.47873 19.9395i −0.283295 0.871893i −0.986904 0.161306i \(-0.948429\pi\)
0.703609 0.710587i \(-0.251571\pi\)
\(524\) −8.76470 3.90229i −0.382887 0.170472i
\(525\) 4.87415 + 3.54128i 0.212726 + 0.154554i
\(526\) 1.72984 0.0754247
\(527\) 3.54162 + 6.36681i 0.154275 + 0.277342i
\(528\) 5.10148 0.222014
\(529\) 9.88796 + 7.18402i 0.429911 + 0.312349i
\(530\) −8.35035 3.71781i −0.362716 0.161492i
\(531\) −0.626287 1.92751i −0.0271786 0.0836470i
\(532\) −2.21109 + 3.82971i −0.0958628 + 0.166039i
\(533\) 1.09981 + 1.90492i 0.0476379 + 0.0825113i
\(534\) −1.84636 + 2.05059i −0.0798996 + 0.0887375i
\(535\) 2.66645 8.20649i 0.115281 0.354798i
\(536\) −3.39353 3.76890i −0.146578 0.162791i
\(537\) 0.108540 0.0483253i 0.00468386 0.00208539i
\(538\) 8.99669 + 1.91230i 0.387875 + 0.0824453i
\(539\) −2.76069 + 26.2662i −0.118911 + 1.13137i
\(540\) 2.76489 + 26.3062i 0.118982 + 1.13204i
\(541\) −1.69347 + 0.359958i −0.0728079 + 0.0154758i −0.244172 0.969732i \(-0.578516\pi\)
0.171364 + 0.985208i \(0.445183\pi\)
\(542\) 7.71128 5.60257i 0.331228 0.240651i
\(543\) 5.64480 4.10118i 0.242241 0.175999i
\(544\) 7.43314 1.57996i 0.318693 0.0677404i
\(545\) −0.572331 5.44536i −0.0245160 0.233254i
\(546\) 0.144467 1.37451i 0.00618261 0.0588236i
\(547\) 12.8347 + 2.72810i 0.548772 + 0.116645i 0.473950 0.880552i \(-0.342828\pi\)
0.0748220 + 0.997197i \(0.476161\pi\)
\(548\) −17.7580 + 7.90635i −0.758582 + 0.337743i
\(549\) −3.38867 3.76350i −0.144625 0.160622i
\(550\) 7.66904 23.6029i 0.327009 1.00643i
\(551\) −12.4466 + 13.8234i −0.530243 + 0.588895i
\(552\) −3.59977 6.23498i −0.153216 0.265378i
\(553\) 5.37991 9.31828i 0.228777 0.396254i
\(554\) −2.46532 7.58748i −0.104741 0.322361i
\(555\) 31.8258 + 14.1698i 1.35093 + 0.601473i
\(556\) 23.0820 + 16.7701i 0.978897 + 0.711210i
\(557\) −28.0246 −1.18744 −0.593721 0.804671i \(-0.702342\pi\)
−0.593721 + 0.804671i \(0.702342\pi\)
\(558\) −7.71873 + 3.29002i −0.326760 + 0.139278i
\(559\) 20.8248 0.880794
\(560\) −3.14522 2.28514i −0.132910 0.0965646i
\(561\) 4.43963 + 1.97665i 0.187441 + 0.0834543i
\(562\) 3.28106 + 10.0981i 0.138403 + 0.425961i
\(563\) −11.3259 + 19.6171i −0.477331 + 0.826762i −0.999662 0.0259808i \(-0.991729\pi\)
0.522331 + 0.852743i \(0.325062\pi\)
\(564\) 0.602646 + 1.04381i 0.0253760 + 0.0439525i
\(565\) 15.8289 17.5798i 0.665928 0.739589i
\(566\) 4.83566 14.8826i 0.203258 0.625564i
\(567\) 1.19232 + 1.32421i 0.0500729 + 0.0556116i
\(568\) −17.1748 + 7.64670i −0.720637 + 0.320848i
\(569\) 45.4271 + 9.65584i 1.90441 + 0.404794i 0.999771 0.0213953i \(-0.00681086\pi\)
0.904634 + 0.426189i \(0.140144\pi\)
\(570\) 0.916174 8.71682i 0.0383743 0.365107i
\(571\) 1.30643 + 12.4299i 0.0546726 + 0.520175i 0.987247 + 0.159197i \(0.0508904\pi\)
−0.932574 + 0.360978i \(0.882443\pi\)
\(572\) 17.8588 3.79600i 0.746713 0.158719i
\(573\) −15.4062 + 11.1932i −0.643602 + 0.467604i
\(574\) 0.321904 0.233877i 0.0134360 0.00976184i
\(575\) 28.0843 5.96950i 1.17120 0.248945i
\(576\) 0.287179 + 2.73233i 0.0119658 + 0.113847i
\(577\) 3.18648 30.3173i 0.132655 1.26213i −0.702330 0.711852i \(-0.747857\pi\)
0.834984 0.550274i \(-0.185477\pi\)
\(578\) −10.3105 2.19156i −0.428859 0.0911567i
\(579\) −4.66868 + 2.07863i −0.194024 + 0.0863850i
\(580\) −18.5165 20.5646i −0.768855 0.853900i
\(581\) −3.32803 + 10.2426i −0.138070 + 0.424936i
\(582\) −2.19725 + 2.44030i −0.0910790 + 0.101153i
\(583\) 7.35812 + 12.7446i 0.304742 + 0.527829i
\(584\) 6.87436 11.9067i 0.284463 0.492705i
\(585\) 7.28629 + 22.4249i 0.301251 + 0.927155i
\(586\) −7.81109 3.47772i −0.322673 0.143663i
\(587\) −27.2300 19.7837i −1.12390 0.816562i −0.139105 0.990278i \(-0.544423\pi\)
−0.984796 + 0.173716i \(0.944423\pi\)
\(588\) −8.82883 −0.364095
\(589\) −20.7602 + 4.06756i −0.855410 + 0.167601i
\(590\) −2.37039 −0.0975872
\(591\) 11.6187 + 8.44150i 0.477930 + 0.347237i
\(592\) −13.0665 5.81757i −0.537029 0.239101i
\(593\) −13.8711 42.6909i −0.569619 1.75311i −0.653812 0.756657i \(-0.726831\pi\)
0.0841933 0.996449i \(-0.473169\pi\)
\(594\) −6.63957 + 11.5001i −0.272425 + 0.471854i
\(595\) −1.85175 3.20733i −0.0759145 0.131488i
\(596\) 20.5412 22.8133i 0.841399 0.934468i
\(597\) 1.18834 3.65733i 0.0486354 0.149684i
\(598\) −4.40719 4.89468i −0.180223 0.200158i
\(599\) −17.8914 + 7.96578i −0.731024 + 0.325473i −0.738274 0.674501i \(-0.764359\pi\)
0.00724987 + 0.999974i \(0.497692\pi\)
\(600\) 18.7602 + 3.98760i 0.765881 + 0.162793i
\(601\) −3.18388 + 30.2926i −0.129873 + 1.23566i 0.714396 + 0.699742i \(0.246702\pi\)
−0.844269 + 0.535919i \(0.819965\pi\)
\(602\) −0.393765 3.74642i −0.0160487 0.152693i
\(603\) −4.46160 + 0.948342i −0.181690 + 0.0386195i
\(604\) 18.9608 13.7758i 0.771504 0.560531i
\(605\) −17.8117 + 12.9410i −0.724150 + 0.526126i
\(606\) −2.31721 + 0.492538i −0.0941302 + 0.0200080i
\(607\) 1.39802 + 13.3013i 0.0567440 + 0.539883i 0.985558 + 0.169337i \(0.0541627\pi\)
−0.928814 + 0.370546i \(0.879171\pi\)
\(608\) −2.30649 + 21.9448i −0.0935406 + 0.889980i
\(609\) 3.29884 + 0.701190i 0.133676 + 0.0284137i
\(610\) −5.41099 + 2.40913i −0.219084 + 0.0975427i
\(611\) 1.70570 + 1.89438i 0.0690054 + 0.0766383i
\(612\) 1.34743 4.14695i 0.0544665 0.167631i
\(613\) −3.47627 + 3.86079i −0.140405 + 0.155936i −0.809246 0.587470i \(-0.800124\pi\)
0.668841 + 0.743406i \(0.266791\pi\)
\(614\) 10.5906 + 18.3435i 0.427402 + 0.740282i
\(615\) 1.26457 2.19030i 0.0509924 0.0883215i
\(616\) −2.35942 7.26156i −0.0950639 0.292577i
\(617\) −27.4183 12.2074i −1.10382 0.491452i −0.227790 0.973710i \(-0.573150\pi\)
−0.876029 + 0.482258i \(0.839817\pi\)
\(618\) 3.14389 + 2.28417i 0.126466 + 0.0918828i
\(619\) 18.3260 0.736584 0.368292 0.929710i \(-0.379943\pi\)
0.368292 + 0.929710i \(0.379943\pi\)
\(620\) −2.78974 31.3478i −0.112039 1.25896i
\(621\) −15.3628 −0.616487
\(622\) 1.32838 + 0.965124i 0.0532631 + 0.0386979i
\(623\) −3.09282 1.37701i −0.123911 0.0551687i
\(624\) 1.11455 + 3.43023i 0.0446177 + 0.137319i
\(625\) −3.87924 + 6.71905i −0.155170 + 0.268762i
\(626\) 3.70450 + 6.41639i 0.148062 + 0.256450i
\(627\) −9.44229 + 10.4867i −0.377089 + 0.418799i
\(628\) −7.13629 + 21.9632i −0.284769 + 0.876429i
\(629\) −9.11716 10.1256i −0.363525 0.403735i
\(630\) 3.89652 1.73484i 0.155241 0.0691178i
\(631\) −10.1094 2.14881i −0.402447 0.0855428i 0.00224100 0.999997i \(-0.499287\pi\)
−0.404688 + 0.914455i \(0.632620\pi\)
\(632\) 3.58039 34.0651i 0.142420 1.35504i
\(633\) −1.08554 10.3282i −0.0431462 0.410509i
\(634\) 5.89876 1.25382i 0.234270 0.0497956i
\(635\) 4.29525 3.12068i 0.170452 0.123840i
\(636\) −3.97992 + 2.89158i −0.157814 + 0.114659i
\(637\) −18.2645 + 3.88224i −0.723666 + 0.153820i
\(638\) −1.45214 13.8162i −0.0574908 0.546988i
\(639\) −1.76742 + 16.8159i −0.0699182 + 0.665228i
\(640\) −38.9785 8.28513i −1.54076 0.327498i
\(641\) 0.0924983 0.0411829i 0.00365346 0.00162663i −0.404909 0.914357i \(-0.632697\pi\)
0.408563 + 0.912730i \(0.366030\pi\)
\(642\) 0.968965 + 1.07615i 0.0382420 + 0.0424721i
\(643\) −4.23719 + 13.0407i −0.167098 + 0.514276i −0.999185 0.0403701i \(-0.987146\pi\)
0.832086 + 0.554646i \(0.187146\pi\)
\(644\) 2.55671 2.83951i 0.100748 0.111892i
\(645\) −11.9723 20.7366i −0.471408 0.816503i
\(646\) −1.71401 + 2.96875i −0.0674367 + 0.116804i
\(647\) −3.34800 10.3041i −0.131624 0.405096i 0.863426 0.504476i \(-0.168314\pi\)
−0.995050 + 0.0993798i \(0.968314\pi\)
\(648\) 5.18208 + 2.30721i 0.203572 + 0.0906359i
\(649\) 3.08745 + 2.24316i 0.121193 + 0.0880518i
\(650\) 17.5460 0.688212
\(651\) 2.52067 + 2.89098i 0.0987930 + 0.113306i
\(652\) 1.59301 0.0623870
\(653\) 19.6204 + 14.2551i 0.767807 + 0.557844i 0.901295 0.433206i \(-0.142618\pi\)
−0.133488 + 0.991050i \(0.542618\pi\)
\(654\) 0.839439 + 0.373742i 0.0328246 + 0.0146145i
\(655\) 7.20968 + 22.1891i 0.281706 + 0.867001i
\(656\) −0.519185 + 0.899255i −0.0202708 + 0.0351100i
\(657\) −6.18270 10.7087i −0.241210 0.417788i
\(658\) 0.308551 0.342680i 0.0120286 0.0133591i
\(659\) −2.63699 + 8.11583i −0.102723 + 0.316148i −0.989189 0.146645i \(-0.953153\pi\)
0.886467 + 0.462793i \(0.153153\pi\)
\(660\) −14.0470 15.6008i −0.546780 0.607261i
\(661\) 34.6089 15.4089i 1.34613 0.599337i 0.398050 0.917364i \(-0.369687\pi\)
0.948082 + 0.318027i \(0.103020\pi\)
\(662\) −21.8306 4.64023i −0.848469 0.180348i
\(663\) −0.359146 + 3.41705i −0.0139481 + 0.132707i
\(664\) 3.58369 + 34.0966i 0.139074 + 1.32320i
\(665\) 10.5188 2.23585i 0.407903 0.0867024i
\(666\) 12.6952 9.22360i 0.491929 0.357407i
\(667\) 13.0026 9.44697i 0.503464 0.365788i
\(668\) −16.8357 + 3.57854i −0.651393 + 0.138458i
\(669\) 0.888925 + 8.45756i 0.0343678 + 0.326988i
\(670\) −0.557633 + 5.30552i −0.0215432 + 0.204970i
\(671\) 9.32767 + 1.98266i 0.360091 + 0.0765397i
\(672\) 3.65481 1.62723i 0.140987 0.0627716i
\(673\) 4.76428 + 5.29127i 0.183650 + 0.203963i 0.827939 0.560818i \(-0.189513\pi\)
−0.644289 + 0.764782i \(0.722847\pi\)
\(674\) −5.90910 + 18.1863i −0.227610 + 0.700512i
\(675\) 27.3848 30.4139i 1.05404 1.17063i
\(676\) −3.45577 5.98557i −0.132914 0.230214i
\(677\) −24.0305 + 41.6220i −0.923567 + 1.59966i −0.129716 + 0.991551i \(0.541407\pi\)
−0.793850 + 0.608113i \(0.791927\pi\)
\(678\) 1.22679 + 3.77566i 0.0471145 + 0.145004i
\(679\) −3.68060 1.63871i −0.141248 0.0628879i
\(680\) −9.53810 6.92984i −0.365769 0.265747i
\(681\) −19.6390 −0.752567
\(682\) 8.11717 13.5550i 0.310822 0.519049i
\(683\) 32.5731 1.24638 0.623188 0.782072i \(-0.285837\pi\)
0.623188 + 0.782072i \(0.285837\pi\)
\(684\) 10.2431 + 7.44202i 0.391653 + 0.284553i
\(685\) 43.1837 + 19.2266i 1.64997 + 0.734612i
\(686\) 2.18235 + 6.71657i 0.0833224 + 0.256440i
\(687\) 7.65051 13.2511i 0.291885 0.505560i
\(688\) 4.91537 + 8.51366i 0.187397 + 0.324580i
\(689\) −6.96191 + 7.73198i −0.265228 + 0.294565i
\(690\) −2.34024 + 7.20251i −0.0890913 + 0.274195i
\(691\) 18.2359 + 20.2530i 0.693725 + 0.770460i 0.982364 0.186978i \(-0.0598693\pi\)
−0.288639 + 0.957438i \(0.593203\pi\)
\(692\) 28.7649 12.8069i 1.09348 0.486847i
\(693\) −6.71698 1.42774i −0.255157 0.0542353i
\(694\) −1.86781 + 17.7710i −0.0709012 + 0.674580i
\(695\) −7.25234 69.0014i −0.275097 2.61737i
\(696\) 10.5015 2.23217i 0.398059 0.0846101i
\(697\) −0.800258 + 0.581421i −0.0303119 + 0.0220229i
\(698\) 3.12036 2.26707i 0.118107 0.0858100i
\(699\) −8.68215 + 1.84545i −0.328389 + 0.0698012i
\(700\) 1.06398 + 10.1231i 0.0402146 + 0.382616i
\(701\) −0.887358 + 8.44265i −0.0335150 + 0.318874i 0.964901 + 0.262614i \(0.0845845\pi\)
−0.998416 + 0.0562607i \(0.982082\pi\)
\(702\) −9.18321 1.95195i −0.346598 0.0736717i
\(703\) 36.1433 16.0920i 1.36317 0.606923i
\(704\) −3.46162 3.84452i −0.130465 0.144896i
\(705\) 0.905737 2.78757i 0.0341120 0.104986i
\(706\) −5.38361 + 5.97910i −0.202615 + 0.225026i
\(707\) −1.45328 2.51716i −0.0546564 0.0946676i
\(708\) −0.637869 + 1.10482i −0.0239726 + 0.0415217i
\(709\) −7.22670 22.2415i −0.271404 0.835297i −0.990148 0.140022i \(-0.955283\pi\)
0.718744 0.695275i \(-0.244717\pi\)
\(710\) 18.0661 + 8.04354i 0.678008 + 0.301869i
\(711\) −24.9229 18.1076i −0.934683 0.679087i
\(712\) −10.7774 −0.403901
\(713\) 18.2764 + 0.291720i 0.684457 + 0.0109250i
\(714\) 0.621526 0.0232600
\(715\) −35.9197 26.0972i −1.34332 0.975978i
\(716\) 0.183378 + 0.0816452i 0.00685317 + 0.00305123i
\(717\) −0.164703 0.506903i −0.00615094 0.0189306i
\(718\) 9.03230 15.6444i 0.337083 0.583844i
\(719\) −6.48843 11.2383i −0.241978 0.419118i 0.719300 0.694700i \(-0.244463\pi\)
−0.961278 + 0.275582i \(0.911129\pi\)
\(720\) −7.44802 + 8.27186i −0.277571 + 0.308274i
\(721\) −1.47337 + 4.53457i −0.0548712 + 0.168876i
\(722\) 2.10541 + 2.33830i 0.0783553 + 0.0870224i
\(723\) −12.6712 + 5.64156i −0.471245 + 0.209812i
\(724\) 11.5306 + 2.45090i 0.428531 + 0.0910870i
\(725\) −4.47545 + 42.5811i −0.166214 + 1.58142i
\(726\) −0.386215 3.67459i −0.0143338 0.136377i
\(727\) 12.1515 2.58289i 0.450676 0.0957941i 0.0230186 0.999735i \(-0.492672\pi\)
0.427657 + 0.903941i \(0.359339\pi\)
\(728\) 4.36719 3.17295i 0.161859 0.117597i
\(729\) −6.12163 + 4.44762i −0.226727 + 0.164727i
\(730\) −14.1462 + 3.00687i −0.523575 + 0.111289i
\(731\) 0.978905 + 9.31366i 0.0362061 + 0.344478i
\(732\) −0.333214 + 3.17032i −0.0123159 + 0.117178i
\(733\) 33.4109 + 7.10171i 1.23406 + 0.262308i 0.778356 0.627823i \(-0.216054\pi\)
0.455705 + 0.890131i \(0.349387\pi\)
\(734\) −17.0160 + 7.57603i −0.628074 + 0.279636i
\(735\) 14.3662 + 15.9553i 0.529904 + 0.588518i
\(736\) 5.89161 18.1325i 0.217168 0.668373i
\(737\) 5.74708 6.38278i 0.211697 0.235113i
\(738\) −0.569607 0.986589i −0.0209675 0.0363168i
\(739\) 6.18747 10.7170i 0.227610 0.394231i −0.729490 0.683992i \(-0.760242\pi\)
0.957099 + 0.289761i \(0.0935757\pi\)
\(740\) 18.1881 + 55.9773i 0.668609 + 2.05777i
\(741\) −9.11416 4.05789i −0.334817 0.149070i
\(742\) 1.52264 + 1.10626i 0.0558979 + 0.0406122i
\(743\) −16.2455 −0.595990 −0.297995 0.954567i \(-0.596318\pi\)
−0.297995 + 0.954567i \(0.596318\pi\)
\(744\) 11.0738 + 5.14369i 0.405986 + 0.188577i
\(745\) −74.6520 −2.73504
\(746\) −6.92012 5.02776i −0.253364 0.184080i
\(747\) 28.1690 + 12.5417i 1.03065 + 0.458875i
\(748\) 2.53720 + 7.80871i 0.0927694 + 0.285515i
\(749\) −0.888356 + 1.53868i −0.0324598 + 0.0562220i
\(750\) −4.32029 7.48296i −0.157755 0.273239i
\(751\) −7.21876 + 8.01725i −0.263416 + 0.292554i −0.860315 0.509763i \(-0.829733\pi\)
0.596898 + 0.802317i \(0.296400\pi\)
\(752\) −0.371861 + 1.14447i −0.0135604 + 0.0417346i
\(753\) 3.65404 + 4.05823i 0.133161 + 0.147890i
\(754\) 8.97273 3.99492i 0.326767 0.145486i
\(755\) −55.7482 11.8496i −2.02888 0.431253i
\(756\) 0.569303 5.41656i 0.0207054 0.196998i
\(757\) −4.29629 40.8765i −0.156151 1.48568i −0.739333 0.673340i \(-0.764859\pi\)
0.583181 0.812342i \(-0.301808\pi\)
\(758\) −3.12867 + 0.665019i −0.113638 + 0.0241546i
\(759\) 9.86411 7.16670i 0.358045 0.260135i
\(760\) 27.6956 20.1221i 1.00463 0.729904i
\(761\) −19.2309 + 4.08765i −0.697119 + 0.148177i −0.542823 0.839847i \(-0.682644\pi\)
−0.154296 + 0.988025i \(0.549311\pi\)
\(762\) 0.0931346 + 0.886117i 0.00337391 + 0.0321006i
\(763\) −0.117845 + 1.12122i −0.00426629 + 0.0405911i
\(764\) −31.4701 6.68917i −1.13855 0.242006i
\(765\) −9.68679 + 4.31284i −0.350227 + 0.155931i