Properties

Label 585.2.i.e.196.8
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 5 x^{15} + 20 x^{14} - 44 x^{13} + 96 x^{12} - 107 x^{11} + 178 x^{10} - 19 x^{9} + 231 x^{8} + 326 x^{7} + 551 x^{6} + 859 x^{5} + 1118 x^{4} + 1215 x^{3} + 1103 x^{2} + \cdots + 268 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.8
Root \(1.79305 + 1.53983i\) of defining polynomial
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.e.391.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29305 - 2.23963i) q^{2} +(1.68259 + 0.410979i) q^{3} +(-2.34397 - 4.05987i) q^{4} +(0.500000 + 0.866025i) q^{5} +(3.09611 - 3.23696i) q^{6} +(2.13745 - 3.70217i) q^{7} -6.95128 q^{8} +(2.66219 + 1.38302i) q^{9} +O(q^{10})\) \(q+(1.29305 - 2.23963i) q^{2} +(1.68259 + 0.410979i) q^{3} +(-2.34397 - 4.05987i) q^{4} +(0.500000 + 0.866025i) q^{5} +(3.09611 - 3.23696i) q^{6} +(2.13745 - 3.70217i) q^{7} -6.95128 q^{8} +(2.66219 + 1.38302i) q^{9} +2.58610 q^{10} +(-2.19223 + 3.79706i) q^{11} +(-2.27540 - 7.79440i) q^{12} +(0.500000 + 0.866025i) q^{13} +(-5.52766 - 9.57419i) q^{14} +(0.485374 + 1.66265i) q^{15} +(-4.30043 + 7.44856i) q^{16} +0.619151 q^{17} +(6.53980 - 4.17402i) q^{18} -2.61288 q^{19} +(2.34397 - 4.05987i) q^{20} +(5.11795 - 5.35077i) q^{21} +(5.66934 + 9.81959i) q^{22} +(-2.71443 - 4.70154i) q^{23} +(-11.6961 - 2.85683i) q^{24} +(-0.500000 + 0.866025i) q^{25} +2.58610 q^{26} +(3.91098 + 3.42115i) q^{27} -20.0404 q^{28} +(-3.47887 + 6.02558i) q^{29} +(4.35134 + 1.06284i) q^{30} +(3.44304 + 5.96353i) q^{31} +(4.17008 + 7.22278i) q^{32} +(-5.24913 + 5.48791i) q^{33} +(0.800595 - 1.38667i) q^{34} +4.27489 q^{35} +(-0.625222 - 14.0499i) q^{36} -4.02164 q^{37} +(-3.37859 + 5.85188i) q^{38} +(0.485374 + 1.66265i) q^{39} +(-3.47564 - 6.01998i) q^{40} +(2.03714 + 3.52842i) q^{41} +(-5.36597 - 18.3811i) q^{42} +(5.01845 - 8.69221i) q^{43} +20.5541 q^{44} +(0.133368 + 2.99703i) q^{45} -14.0396 q^{46} +(0.202993 - 0.351595i) q^{47} +(-10.2970 + 10.7655i) q^{48} +(-5.63736 - 9.76419i) q^{49} +(1.29305 + 2.23963i) q^{50} +(1.04178 + 0.254458i) q^{51} +(2.34397 - 4.05987i) q^{52} -8.71205 q^{53} +(12.7192 - 4.33542i) q^{54} -4.38446 q^{55} +(-14.8580 + 25.7348i) q^{56} +(-4.39639 - 1.07384i) q^{57} +(8.99672 + 15.5828i) q^{58} +(5.36073 + 9.28505i) q^{59} +(5.61245 - 5.86776i) q^{60} +(-2.53609 + 4.39263i) q^{61} +17.8081 q^{62} +(10.8105 - 6.89975i) q^{63} +4.36679 q^{64} +(-0.500000 + 0.866025i) q^{65} +(5.50350 + 18.8523i) q^{66} +(-7.27894 - 12.6075i) q^{67} +(-1.45127 - 2.51367i) q^{68} +(-2.63503 - 9.02632i) q^{69} +(5.52766 - 9.57419i) q^{70} +6.57523 q^{71} +(-18.5056 - 9.61373i) q^{72} +16.7313 q^{73} +(-5.20019 + 9.00700i) q^{74} +(-1.19721 + 1.25167i) q^{75} +(6.12450 + 10.6079i) q^{76} +(9.37156 + 16.2320i) q^{77} +(4.35134 + 1.06284i) q^{78} +(-7.27288 + 12.5970i) q^{79} -8.60086 q^{80} +(5.17453 + 7.36371i) q^{81} +10.5365 q^{82} +(1.52057 - 2.63370i) q^{83} +(-33.7197 - 8.23620i) q^{84} +(0.309576 + 0.536201i) q^{85} +(-12.9782 - 22.4790i) q^{86} +(-8.32989 + 8.70881i) q^{87} +(15.2388 - 26.3944i) q^{88} +7.27070 q^{89} +(6.88470 + 3.57663i) q^{90} +4.27489 q^{91} +(-12.7251 + 22.0405i) q^{92} +(3.34233 + 11.4492i) q^{93} +(-0.524962 - 0.909260i) q^{94} +(-1.30644 - 2.26282i) q^{95} +(4.04810 + 13.8668i) q^{96} +(4.81738 - 8.34394i) q^{97} -29.1576 q^{98} +(-11.0875 + 7.07660i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 3 q^{2} + q^{3} - 9 q^{4} + 8 q^{5} + 8 q^{6} + 11 q^{7} - 12 q^{8} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 3 q^{2} + q^{3} - 9 q^{4} + 8 q^{5} + 8 q^{6} + 11 q^{7} - 12 q^{8} + q^{9} - 6 q^{10} - 6 q^{11} + 2 q^{12} + 8 q^{13} - 10 q^{14} + 5 q^{15} - 11 q^{16} - 4 q^{17} + 5 q^{18} - 20 q^{19} + 9 q^{20} + 11 q^{21} - 3 q^{22} - 6 q^{23} - 57 q^{24} - 8 q^{25} - 6 q^{26} - 14 q^{27} - 68 q^{28} - 14 q^{29} + 7 q^{30} + 31 q^{31} - q^{32} - 31 q^{33} + 7 q^{34} + 22 q^{35} + 2 q^{36} + 2 q^{37} - 9 q^{38} + 5 q^{39} - 6 q^{40} + 12 q^{41} - 26 q^{42} - 15 q^{43} + 32 q^{44} - 16 q^{45} - 64 q^{46} + 18 q^{47} - 4 q^{48} - 17 q^{49} - 3 q^{50} + 32 q^{51} + 9 q^{52} + 4 q^{53} + 2 q^{54} - 12 q^{55} - 16 q^{56} + 45 q^{57} + 42 q^{58} - 24 q^{59} - 8 q^{60} + 9 q^{61} - 40 q^{62} + 47 q^{63} - 60 q^{64} - 8 q^{65} + 55 q^{66} + 18 q^{67} + 14 q^{68} - 12 q^{69} + 10 q^{70} + 20 q^{71} - 9 q^{72} + 12 q^{73} + 37 q^{74} + 4 q^{75} + 53 q^{76} + 34 q^{77} + 7 q^{78} + 3 q^{79} - 22 q^{80} + 13 q^{81} - 68 q^{82} + 10 q^{83} + 22 q^{84} - 2 q^{85} - 60 q^{86} + 11 q^{87} + 14 q^{88} - 26 q^{89} + 19 q^{90} + 22 q^{91} - 5 q^{92} + 74 q^{93} - 17 q^{94} - 10 q^{95} + 13 q^{96} + 34 q^{97} - 60 q^{98} - 43 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29305 2.23963i 0.914326 1.58366i 0.106440 0.994319i \(-0.466055\pi\)
0.807885 0.589340i \(-0.200612\pi\)
\(3\) 1.68259 + 0.410979i 0.971442 + 0.237279i
\(4\) −2.34397 4.05987i −1.17198 2.02993i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) 3.09611 3.23696i 1.26398 1.32148i
\(7\) 2.13745 3.70217i 0.807879 1.39929i −0.106451 0.994318i \(-0.533949\pi\)
0.914330 0.404969i \(-0.132718\pi\)
\(8\) −6.95128 −2.45765
\(9\) 2.66219 + 1.38302i 0.887397 + 0.461006i
\(10\) 2.58610 0.817798
\(11\) −2.19223 + 3.79706i −0.660983 + 1.14486i 0.319375 + 0.947628i \(0.396527\pi\)
−0.980358 + 0.197227i \(0.936806\pi\)
\(12\) −2.27540 7.79440i −0.656852 2.25005i
\(13\) 0.500000 + 0.866025i 0.138675 + 0.240192i
\(14\) −5.52766 9.57419i −1.47733 2.55881i
\(15\) 0.485374 + 1.66265i 0.125323 + 0.429295i
\(16\) −4.30043 + 7.44856i −1.07511 + 1.86214i
\(17\) 0.619151 0.150166 0.0750831 0.997177i \(-0.476078\pi\)
0.0750831 + 0.997177i \(0.476078\pi\)
\(18\) 6.53980 4.17402i 1.54145 0.983825i
\(19\) −2.61288 −0.599435 −0.299718 0.954028i \(-0.596892\pi\)
−0.299718 + 0.954028i \(0.596892\pi\)
\(20\) 2.34397 4.05987i 0.524127 0.907814i
\(21\) 5.11795 5.35077i 1.11683 1.16763i
\(22\) 5.66934 + 9.81959i 1.20871 + 2.09354i
\(23\) −2.71443 4.70154i −0.565998 0.980338i −0.996956 0.0779658i \(-0.975157\pi\)
0.430958 0.902372i \(-0.358176\pi\)
\(24\) −11.6961 2.85683i −2.38746 0.583148i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.58610 0.507177
\(27\) 3.91098 + 3.42115i 0.752668 + 0.658401i
\(28\) −20.0404 −3.78728
\(29\) −3.47887 + 6.02558i −0.646010 + 1.11892i 0.338057 + 0.941125i \(0.390230\pi\)
−0.984067 + 0.177796i \(0.943103\pi\)
\(30\) 4.35134 + 1.06284i 0.794443 + 0.194046i
\(31\) 3.44304 + 5.96353i 0.618389 + 1.07108i 0.989780 + 0.142605i \(0.0455477\pi\)
−0.371391 + 0.928477i \(0.621119\pi\)
\(32\) 4.17008 + 7.22278i 0.737172 + 1.27682i
\(33\) −5.24913 + 5.48791i −0.913757 + 0.955323i
\(34\) 0.800595 1.38667i 0.137301 0.237812i
\(35\) 4.27489 0.722589
\(36\) −0.625222 14.0499i −0.104204 2.34165i
\(37\) −4.02164 −0.661154 −0.330577 0.943779i \(-0.607243\pi\)
−0.330577 + 0.943779i \(0.607243\pi\)
\(38\) −3.37859 + 5.85188i −0.548079 + 0.949301i
\(39\) 0.485374 + 1.66265i 0.0777221 + 0.266237i
\(40\) −3.47564 6.01998i −0.549547 0.951843i
\(41\) 2.03714 + 3.52842i 0.318147 + 0.551047i 0.980101 0.198497i \(-0.0636060\pi\)
−0.661954 + 0.749544i \(0.730273\pi\)
\(42\) −5.36597 18.3811i −0.827987 2.83627i
\(43\) 5.01845 8.69221i 0.765307 1.32555i −0.174778 0.984608i \(-0.555921\pi\)
0.940084 0.340942i \(-0.110746\pi\)
\(44\) 20.5541 3.09864
\(45\) 0.133368 + 2.99703i 0.0198814 + 0.446771i
\(46\) −14.0396 −2.07003
\(47\) 0.202993 0.351595i 0.0296096 0.0512854i −0.850841 0.525423i \(-0.823907\pi\)
0.880450 + 0.474138i \(0.157240\pi\)
\(48\) −10.2970 + 10.7655i −1.48625 + 1.55386i
\(49\) −5.63736 9.76419i −0.805337 1.39488i
\(50\) 1.29305 + 2.23963i 0.182865 + 0.316732i
\(51\) 1.04178 + 0.254458i 0.145878 + 0.0356313i
\(52\) 2.34397 4.05987i 0.325050 0.563003i
\(53\) −8.71205 −1.19669 −0.598346 0.801238i \(-0.704175\pi\)
−0.598346 + 0.801238i \(0.704175\pi\)
\(54\) 12.7192 4.33542i 1.73087 0.589976i
\(55\) −4.38446 −0.591201
\(56\) −14.8580 + 25.7348i −1.98548 + 3.43895i
\(57\) −4.39639 1.07384i −0.582316 0.142233i
\(58\) 8.99672 + 15.5828i 1.18133 + 2.04612i
\(59\) 5.36073 + 9.28505i 0.697907 + 1.20881i 0.969191 + 0.246311i \(0.0792185\pi\)
−0.271284 + 0.962499i \(0.587448\pi\)
\(60\) 5.61245 5.86776i 0.724564 0.757524i
\(61\) −2.53609 + 4.39263i −0.324713 + 0.562419i −0.981454 0.191697i \(-0.938601\pi\)
0.656742 + 0.754116i \(0.271934\pi\)
\(62\) 17.8081 2.26164
\(63\) 10.8105 6.89975i 1.36199 0.869287i
\(64\) 4.36679 0.545849
\(65\) −0.500000 + 0.866025i −0.0620174 + 0.107417i
\(66\) 5.50350 + 18.8523i 0.677435 + 2.32056i
\(67\) −7.27894 12.6075i −0.889264 1.54025i −0.840747 0.541428i \(-0.817884\pi\)
−0.0485164 0.998822i \(-0.515449\pi\)
\(68\) −1.45127 2.51367i −0.175992 0.304828i
\(69\) −2.63503 9.02632i −0.317221 1.08664i
\(70\) 5.52766 9.57419i 0.660682 1.14433i
\(71\) 6.57523 0.780336 0.390168 0.920744i \(-0.372417\pi\)
0.390168 + 0.920744i \(0.372417\pi\)
\(72\) −18.5056 9.61373i −2.18091 1.13299i
\(73\) 16.7313 1.95825 0.979125 0.203257i \(-0.0651527\pi\)
0.979125 + 0.203257i \(0.0651527\pi\)
\(74\) −5.20019 + 9.00700i −0.604510 + 1.04704i
\(75\) −1.19721 + 1.25167i −0.138242 + 0.144531i
\(76\) 6.12450 + 10.6079i 0.702528 + 1.21681i
\(77\) 9.37156 + 16.2320i 1.06799 + 1.84981i
\(78\) 4.35134 + 1.06284i 0.492693 + 0.120342i
\(79\) −7.27288 + 12.5970i −0.818263 + 1.41727i 0.0886982 + 0.996059i \(0.471729\pi\)
−0.906961 + 0.421214i \(0.861604\pi\)
\(80\) −8.60086 −0.961605
\(81\) 5.17453 + 7.36371i 0.574948 + 0.818190i
\(82\) 10.5365 1.16356
\(83\) 1.52057 2.63370i 0.166904 0.289086i −0.770426 0.637530i \(-0.779956\pi\)
0.937330 + 0.348444i \(0.113290\pi\)
\(84\) −33.7197 8.23620i −3.67912 0.898643i
\(85\) 0.309576 + 0.536201i 0.0335782 + 0.0581591i
\(86\) −12.9782 22.4790i −1.39948 2.42397i
\(87\) −8.32989 + 8.70881i −0.893058 + 0.933682i
\(88\) 15.2388 26.3944i 1.62446 2.81365i
\(89\) 7.27070 0.770693 0.385347 0.922772i \(-0.374082\pi\)
0.385347 + 0.922772i \(0.374082\pi\)
\(90\) 6.88470 + 3.57663i 0.725712 + 0.377009i
\(91\) 4.27489 0.448131
\(92\) −12.7251 + 22.0405i −1.32668 + 2.29788i
\(93\) 3.34233 + 11.4492i 0.346584 + 1.18722i
\(94\) −0.524962 0.909260i −0.0541457 0.0937830i
\(95\) −1.30644 2.26282i −0.134038 0.232160i
\(96\) 4.04810 + 13.8668i 0.413157 + 1.41527i
\(97\) 4.81738 8.34394i 0.489130 0.847199i −0.510791 0.859705i \(-0.670648\pi\)
0.999922 + 0.0125059i \(0.00398085\pi\)
\(98\) −29.1576 −2.94536
\(99\) −11.0875 + 7.07660i −1.11434 + 0.711225i
\(100\) 4.68793 0.468793
\(101\) −3.89976 + 6.75458i −0.388041 + 0.672106i −0.992186 0.124768i \(-0.960181\pi\)
0.604145 + 0.796874i \(0.293515\pi\)
\(102\) 1.91696 2.00417i 0.189808 0.198442i
\(103\) −0.496621 0.860172i −0.0489335 0.0847553i 0.840521 0.541779i \(-0.182249\pi\)
−0.889455 + 0.457023i \(0.848916\pi\)
\(104\) −3.47564 6.01998i −0.340814 0.590308i
\(105\) 7.19288 + 1.75689i 0.701953 + 0.171455i
\(106\) −11.2651 + 19.5118i −1.09417 + 1.89515i
\(107\) 4.24171 0.410062 0.205031 0.978755i \(-0.434270\pi\)
0.205031 + 0.978755i \(0.434270\pi\)
\(108\) 4.72223 23.8971i 0.454397 2.29950i
\(109\) 4.72247 0.452330 0.226165 0.974089i \(-0.427381\pi\)
0.226165 + 0.974089i \(0.427381\pi\)
\(110\) −5.66934 + 9.81959i −0.540550 + 0.936261i
\(111\) −6.76676 1.65281i −0.642272 0.156878i
\(112\) 18.3839 + 31.8418i 1.73711 + 3.00877i
\(113\) 1.77704 + 3.07792i 0.167170 + 0.289546i 0.937424 0.348191i \(-0.113204\pi\)
−0.770254 + 0.637737i \(0.779871\pi\)
\(114\) −8.08977 + 8.45777i −0.757676 + 0.792143i
\(115\) 2.71443 4.70154i 0.253122 0.438420i
\(116\) 32.6174 3.02845
\(117\) 0.133368 + 2.99703i 0.0123299 + 0.277076i
\(118\) 27.7268 2.55246
\(119\) 1.32340 2.29220i 0.121316 0.210126i
\(120\) −3.37397 11.5576i −0.308000 1.05506i
\(121\) −4.11176 7.12178i −0.373797 0.647435i
\(122\) 6.55858 + 11.3598i 0.593786 + 1.02847i
\(123\) 1.97755 + 6.77410i 0.178309 + 0.610800i
\(124\) 16.1408 27.9566i 1.44948 2.51058i
\(125\) −1.00000 −0.0894427
\(126\) −1.47443 33.1332i −0.131353 2.95174i
\(127\) −13.6413 −1.21047 −0.605234 0.796048i \(-0.706920\pi\)
−0.605234 + 0.796048i \(0.706920\pi\)
\(128\) −2.69366 + 4.66556i −0.238088 + 0.412381i
\(129\) 12.0163 12.5629i 1.05798 1.10610i
\(130\) 1.29305 + 2.23963i 0.113408 + 0.196429i
\(131\) −4.18118 7.24202i −0.365312 0.632738i 0.623514 0.781812i \(-0.285704\pi\)
−0.988826 + 0.149073i \(0.952371\pi\)
\(132\) 34.5840 + 8.44730i 3.01015 + 0.735244i
\(133\) −5.58489 + 9.67331i −0.484271 + 0.838782i
\(134\) −37.6482 −3.25231
\(135\) −1.00732 + 5.09758i −0.0866960 + 0.438730i
\(136\) −4.30389 −0.369056
\(137\) 3.37544 5.84643i 0.288383 0.499494i −0.685041 0.728505i \(-0.740216\pi\)
0.973424 + 0.229010i \(0.0735489\pi\)
\(138\) −23.6229 5.76999i −2.01091 0.491174i
\(139\) −1.75288 3.03608i −0.148678 0.257517i 0.782061 0.623201i \(-0.214168\pi\)
−0.930739 + 0.365684i \(0.880835\pi\)
\(140\) −10.0202 17.3555i −0.846862 1.46681i
\(141\) 0.486052 0.508162i 0.0409330 0.0427950i
\(142\) 8.50211 14.7261i 0.713481 1.23579i
\(143\) −4.38446 −0.366647
\(144\) −21.7500 + 13.8819i −1.81250 + 1.15683i
\(145\) −6.95774 −0.577809
\(146\) 21.6344 37.4720i 1.79048 3.10120i
\(147\) −5.47246 18.7459i −0.451361 1.54614i
\(148\) 9.42660 + 16.3273i 0.774861 + 1.34210i
\(149\) −6.13951 10.6339i −0.502968 0.871166i −0.999994 0.00343063i \(-0.998908\pi\)
0.497026 0.867736i \(-0.334425\pi\)
\(150\) 1.25523 + 4.29979i 0.102489 + 0.351076i
\(151\) 8.34821 14.4595i 0.679367 1.17670i −0.295804 0.955249i \(-0.595588\pi\)
0.975172 0.221450i \(-0.0710791\pi\)
\(152\) 18.1628 1.47320
\(153\) 1.64830 + 0.856297i 0.133257 + 0.0692275i
\(154\) 48.4717 3.90596
\(155\) −3.44304 + 5.96353i −0.276552 + 0.479002i
\(156\) 5.61245 5.86776i 0.449356 0.469797i
\(157\) −3.99844 6.92550i −0.319110 0.552715i 0.661192 0.750216i \(-0.270051\pi\)
−0.980303 + 0.197501i \(0.936717\pi\)
\(158\) 18.8084 + 32.5771i 1.49632 + 2.59170i
\(159\) −14.6588 3.58048i −1.16252 0.283950i
\(160\) −4.17008 + 7.22278i −0.329674 + 0.571011i
\(161\) −23.2078 −1.82903
\(162\) 23.1829 2.06738i 1.82142 0.162429i
\(163\) −17.3723 −1.36071 −0.680353 0.732885i \(-0.738173\pi\)
−0.680353 + 0.732885i \(0.738173\pi\)
\(164\) 9.54996 16.5410i 0.745727 1.29164i
\(165\) −7.37724 1.80192i −0.574317 0.140280i
\(166\) −3.93234 6.81102i −0.305209 0.528637i
\(167\) −2.13795 3.70303i −0.165439 0.286549i 0.771372 0.636385i \(-0.219571\pi\)
−0.936811 + 0.349835i \(0.886238\pi\)
\(168\) −35.5763 + 37.1947i −2.74477 + 2.86963i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) 1.60119 0.122806
\(171\) −6.95598 3.61365i −0.531937 0.276343i
\(172\) −47.0523 −3.58771
\(173\) −6.47793 + 11.2201i −0.492508 + 0.853049i −0.999963 0.00862929i \(-0.997253\pi\)
0.507455 + 0.861679i \(0.330587\pi\)
\(174\) 8.73355 + 29.9168i 0.662089 + 2.26799i
\(175\) 2.13745 + 3.70217i 0.161576 + 0.279857i
\(176\) −18.8551 32.6579i −1.42125 2.46169i
\(177\) 5.20392 + 17.8260i 0.391150 + 1.33989i
\(178\) 9.40140 16.2837i 0.704665 1.22051i
\(179\) 18.8530 1.40914 0.704571 0.709633i \(-0.251139\pi\)
0.704571 + 0.709633i \(0.251139\pi\)
\(180\) 11.8550 7.56641i 0.883616 0.563967i
\(181\) −21.2593 −1.58019 −0.790097 0.612982i \(-0.789970\pi\)
−0.790097 + 0.612982i \(0.789970\pi\)
\(182\) 5.52766 9.57419i 0.409737 0.709686i
\(183\) −6.07246 + 6.34870i −0.448889 + 0.469309i
\(184\) 18.8688 + 32.6817i 1.39102 + 2.40933i
\(185\) −2.01082 3.48284i −0.147838 0.256064i
\(186\) 29.9637 + 7.31878i 2.19705 + 0.536639i
\(187\) −1.35732 + 2.35095i −0.0992573 + 0.171919i
\(188\) −1.90324 −0.138808
\(189\) 21.0252 7.16655i 1.52936 0.521290i
\(190\) −6.75717 −0.490217
\(191\) 7.70849 13.3515i 0.557767 0.966081i −0.439916 0.898039i \(-0.644992\pi\)
0.997682 0.0680415i \(-0.0216750\pi\)
\(192\) 7.34751 + 1.79466i 0.530261 + 0.129519i
\(193\) −0.944008 1.63507i −0.0679512 0.117695i 0.830048 0.557692i \(-0.188313\pi\)
−0.897999 + 0.439997i \(0.854980\pi\)
\(194\) −12.4582 21.5783i −0.894449 1.54923i
\(195\) −1.19721 + 1.25167i −0.0857341 + 0.0896341i
\(196\) −26.4276 + 45.7739i −1.88768 + 3.26956i
\(197\) −10.8597 −0.773723 −0.386862 0.922138i \(-0.626441\pi\)
−0.386862 + 0.922138i \(0.626441\pi\)
\(198\) 1.51222 + 33.9824i 0.107469 + 2.41502i
\(199\) −1.20110 −0.0851436 −0.0425718 0.999093i \(-0.513555\pi\)
−0.0425718 + 0.999093i \(0.513555\pi\)
\(200\) 3.47564 6.01998i 0.245765 0.425677i
\(201\) −7.06602 24.2047i −0.498399 1.70727i
\(202\) 10.0852 + 17.4681i 0.709591 + 1.22905i
\(203\) 14.8718 + 25.7587i 1.04380 + 1.80791i
\(204\) −1.40882 4.82591i −0.0986370 0.337882i
\(205\) −2.03714 + 3.52842i −0.142280 + 0.246436i
\(206\) −2.56863 −0.178965
\(207\) −0.724038 16.2705i −0.0503241 1.13088i
\(208\) −8.60086 −0.596362
\(209\) 5.72803 9.92125i 0.396216 0.686267i
\(210\) 13.2356 13.8376i 0.913340 0.954888i
\(211\) 0.117606 + 0.203699i 0.00809632 + 0.0140232i 0.870045 0.492972i \(-0.164089\pi\)
−0.861949 + 0.506995i \(0.830756\pi\)
\(212\) 20.4208 + 35.3698i 1.40250 + 2.42921i
\(213\) 11.0634 + 2.70228i 0.758051 + 0.185157i
\(214\) 5.48476 9.49988i 0.374930 0.649398i
\(215\) 10.0369 0.684511
\(216\) −27.1863 23.7814i −1.84979 1.61812i
\(217\) 29.4373 1.99833
\(218\) 6.10639 10.5766i 0.413577 0.716337i
\(219\) 28.1519 + 6.87622i 1.90233 + 0.464652i
\(220\) 10.2770 + 17.8004i 0.692878 + 1.20010i
\(221\) 0.309576 + 0.536201i 0.0208243 + 0.0360688i
\(222\) −12.4515 + 13.0179i −0.835687 + 0.873703i
\(223\) 8.37747 14.5102i 0.560997 0.971675i −0.436413 0.899747i \(-0.643751\pi\)
0.997410 0.0719287i \(-0.0229154\pi\)
\(224\) 35.6533 2.38218
\(225\) −2.52882 + 1.61402i −0.168588 + 0.107601i
\(226\) 9.19121 0.611390
\(227\) −11.4002 + 19.7457i −0.756656 + 1.31057i 0.187891 + 0.982190i \(0.439835\pi\)
−0.944547 + 0.328377i \(0.893498\pi\)
\(228\) 5.94535 + 20.3658i 0.393740 + 1.34876i
\(229\) 3.48739 + 6.04033i 0.230453 + 0.399156i 0.957942 0.286964i \(-0.0926459\pi\)
−0.727488 + 0.686120i \(0.759313\pi\)
\(230\) −7.01981 12.1587i −0.462872 0.801718i
\(231\) 9.09743 + 31.1633i 0.598567 + 2.05039i
\(232\) 24.1826 41.8855i 1.58766 2.74992i
\(233\) −8.63201 −0.565502 −0.282751 0.959193i \(-0.591247\pi\)
−0.282751 + 0.959193i \(0.591247\pi\)
\(234\) 6.88470 + 3.57663i 0.450067 + 0.233811i
\(235\) 0.405987 0.0264836
\(236\) 25.1307 43.5277i 1.63587 2.83341i
\(237\) −17.4144 + 18.2065i −1.13118 + 1.18264i
\(238\) −3.42246 5.92787i −0.221845 0.384247i
\(239\) 1.53550 + 2.65957i 0.0993235 + 0.172033i 0.911405 0.411511i \(-0.134999\pi\)
−0.812081 + 0.583544i \(0.801665\pi\)
\(240\) −14.4717 3.53478i −0.934143 0.228169i
\(241\) −2.91634 + 5.05125i −0.187858 + 0.325379i −0.944536 0.328408i \(-0.893488\pi\)
0.756678 + 0.653788i \(0.226821\pi\)
\(242\) −21.2669 −1.36709
\(243\) 5.68026 + 14.5167i 0.364389 + 0.931247i
\(244\) 23.7780 1.52223
\(245\) 5.63736 9.76419i 0.360157 0.623811i
\(246\) 17.7286 + 4.33028i 1.13033 + 0.276089i
\(247\) −1.30644 2.26282i −0.0831267 0.143980i
\(248\) −23.9336 41.4541i −1.51978 2.63234i
\(249\) 3.64088 3.80650i 0.230731 0.241227i
\(250\) −1.29305 + 2.23963i −0.0817798 + 0.141647i
\(251\) −23.7101 −1.49657 −0.748285 0.663378i \(-0.769122\pi\)
−0.748285 + 0.663378i \(0.769122\pi\)
\(252\) −53.3514 27.7162i −3.36082 1.74596i
\(253\) 23.8027 1.49646
\(254\) −17.6389 + 30.5514i −1.10676 + 1.91697i
\(255\) 0.300520 + 1.02943i 0.0188193 + 0.0644656i
\(256\) 11.3329 + 19.6291i 0.708305 + 1.22682i
\(257\) −9.65384 16.7209i −0.602190 1.04302i −0.992489 0.122335i \(-0.960962\pi\)
0.390299 0.920688i \(-0.372372\pi\)
\(258\) −12.5986 43.1566i −0.784355 2.68681i
\(259\) −8.59604 + 14.8888i −0.534132 + 0.925144i
\(260\) 4.68793 0.290733
\(261\) −17.5949 + 11.2299i −1.08910 + 0.695114i
\(262\) −21.6260 −1.33606
\(263\) 5.85985 10.1496i 0.361334 0.625848i −0.626847 0.779142i \(-0.715655\pi\)
0.988181 + 0.153294i \(0.0489882\pi\)
\(264\) 36.4882 38.1480i 2.24569 2.34785i
\(265\) −4.35603 7.54486i −0.267589 0.463477i
\(266\) 14.4431 + 25.0162i 0.885563 + 1.53384i
\(267\) 12.2336 + 2.98811i 0.748683 + 0.182869i
\(268\) −34.1232 + 59.1031i −2.08440 + 3.61029i
\(269\) −17.0088 −1.03705 −0.518524 0.855063i \(-0.673518\pi\)
−0.518524 + 0.855063i \(0.673518\pi\)
\(270\) 10.1142 + 8.84745i 0.615530 + 0.538439i
\(271\) −12.4840 −0.758348 −0.379174 0.925325i \(-0.623792\pi\)
−0.379174 + 0.925325i \(0.623792\pi\)
\(272\) −2.66262 + 4.61179i −0.161445 + 0.279631i
\(273\) 7.19288 + 1.75689i 0.435333 + 0.106332i
\(274\) −8.72924 15.1195i −0.527353 0.913401i
\(275\) −2.19223 3.79706i −0.132197 0.228971i
\(276\) −30.4692 + 31.8553i −1.83403 + 1.91746i
\(277\) −10.1444 + 17.5705i −0.609516 + 1.05571i 0.381805 + 0.924243i \(0.375303\pi\)
−0.991320 + 0.131469i \(0.958031\pi\)
\(278\) −9.06628 −0.543759
\(279\) 0.918386 + 20.6378i 0.0549823 + 1.23556i
\(280\) −29.7160 −1.77587
\(281\) 4.18725 7.25252i 0.249790 0.432649i −0.713677 0.700475i \(-0.752972\pi\)
0.963467 + 0.267825i \(0.0863050\pi\)
\(282\) −0.509606 1.74566i −0.0303466 0.103952i
\(283\) 1.11281 + 1.92745i 0.0661498 + 0.114575i 0.897203 0.441617i \(-0.145595\pi\)
−0.831054 + 0.556192i \(0.812262\pi\)
\(284\) −15.4121 26.6946i −0.914541 1.58403i
\(285\) −1.26822 4.34431i −0.0751231 0.257335i
\(286\) −5.66934 + 9.81959i −0.335235 + 0.580644i
\(287\) 17.4171 1.02810
\(288\) 1.11231 + 24.9957i 0.0655436 + 1.47289i
\(289\) −16.6167 −0.977450
\(290\) −8.99672 + 15.5828i −0.528305 + 0.915052i
\(291\) 11.5348 12.0596i 0.676184 0.706944i
\(292\) −39.2176 67.9269i −2.29504 3.97512i
\(293\) 1.26944 + 2.19873i 0.0741613 + 0.128451i 0.900721 0.434398i \(-0.143039\pi\)
−0.826560 + 0.562849i \(0.809705\pi\)
\(294\) −49.0601 11.9832i −2.86125 0.698873i
\(295\) −5.36073 + 9.28505i −0.312114 + 0.540596i
\(296\) 27.9555 1.62488
\(297\) −21.5641 + 7.35024i −1.25127 + 0.426504i
\(298\) −31.7548 −1.83951
\(299\) 2.71443 4.70154i 0.156980 0.271897i
\(300\) 7.88785 + 1.92664i 0.455405 + 0.111235i
\(301\) −21.4533 37.1583i −1.23655 2.14177i
\(302\) −21.5893 37.3938i −1.24233 2.15177i
\(303\) −9.33768 + 9.76245i −0.536436 + 0.560838i
\(304\) 11.2365 19.4622i 0.644457 1.11623i
\(305\) −5.07217 −0.290432
\(306\) 4.04913 2.58435i 0.231473 0.147737i
\(307\) 19.2343 1.09776 0.548881 0.835901i \(-0.315054\pi\)
0.548881 + 0.835901i \(0.315054\pi\)
\(308\) 43.9332 76.0946i 2.50333 4.33589i
\(309\) −0.482094 1.65141i −0.0274254 0.0939457i
\(310\) 8.90407 + 15.4223i 0.505717 + 0.875928i
\(311\) −4.38021 7.58674i −0.248379 0.430205i 0.714697 0.699434i \(-0.246564\pi\)
−0.963076 + 0.269229i \(0.913231\pi\)
\(312\) −3.37397 11.5576i −0.191014 0.654318i
\(313\) 6.08910 10.5466i 0.344176 0.596131i −0.641027 0.767518i \(-0.721491\pi\)
0.985204 + 0.171387i \(0.0548248\pi\)
\(314\) −20.6808 −1.16708
\(315\) 11.3806 + 5.91225i 0.641223 + 0.333117i
\(316\) 68.1896 3.83596
\(317\) −8.66227 + 15.0035i −0.486521 + 0.842680i −0.999880 0.0154945i \(-0.995068\pi\)
0.513359 + 0.858174i \(0.328401\pi\)
\(318\) −26.9735 + 28.2005i −1.51260 + 1.58141i
\(319\) −15.2530 26.4189i −0.854003 1.47918i
\(320\) 2.18340 + 3.78175i 0.122056 + 0.211407i
\(321\) 7.13705 + 1.74326i 0.398351 + 0.0972992i
\(322\) −30.0089 + 51.9770i −1.67233 + 2.89656i
\(323\) −1.61777 −0.0900149
\(324\) 17.7668 38.2682i 0.987043 2.12601i
\(325\) −1.00000 −0.0554700
\(326\) −22.4633 + 38.9076i −1.24413 + 2.15489i
\(327\) 7.94596 + 1.94084i 0.439412 + 0.107329i
\(328\) −14.1607 24.5270i −0.781894 1.35428i
\(329\) −0.867775 1.50303i −0.0478420 0.0828647i
\(330\) −13.5748 + 14.1923i −0.747268 + 0.781261i
\(331\) −1.23037 + 2.13106i −0.0676272 + 0.117134i −0.897856 0.440288i \(-0.854876\pi\)
0.830229 + 0.557422i \(0.188210\pi\)
\(332\) −14.2566 −0.782434
\(333\) −10.7064 5.56200i −0.586706 0.304796i
\(334\) −11.0579 −0.605062
\(335\) 7.27894 12.6075i 0.397691 0.688821i
\(336\) 17.8461 + 61.1320i 0.973586 + 3.33502i
\(337\) −10.3743 17.9688i −0.565123 0.978821i −0.997038 0.0769073i \(-0.975495\pi\)
0.431915 0.901914i \(-0.357838\pi\)
\(338\) 1.29305 + 2.23963i 0.0703328 + 0.121820i
\(339\) 1.72506 + 5.90919i 0.0936922 + 0.320943i
\(340\) 1.45127 2.51367i 0.0787062 0.136323i
\(341\) −30.1918 −1.63498
\(342\) −17.0877 + 10.9062i −0.923997 + 0.589739i
\(343\) −18.2739 −0.986700
\(344\) −34.8846 + 60.4220i −1.88085 + 3.25773i
\(345\) 6.49950 6.79516i 0.349921 0.365839i
\(346\) 16.7526 + 29.0164i 0.900626 + 1.55993i
\(347\) 6.29383 + 10.9012i 0.337871 + 0.585209i 0.984032 0.177992i \(-0.0569601\pi\)
−0.646161 + 0.763201i \(0.723627\pi\)
\(348\) 54.8816 + 13.4051i 2.94196 + 0.718588i
\(349\) 9.98642 17.2970i 0.534561 0.925887i −0.464624 0.885508i \(-0.653810\pi\)
0.999184 0.0403782i \(-0.0128563\pi\)
\(350\) 11.0553 0.590932
\(351\) −1.00732 + 5.09758i −0.0537665 + 0.272089i
\(352\) −36.5671 −1.94903
\(353\) −2.94467 + 5.10031i −0.156729 + 0.271462i −0.933687 0.358090i \(-0.883428\pi\)
0.776958 + 0.629552i \(0.216762\pi\)
\(354\) 46.6527 + 11.3951i 2.47956 + 0.605645i
\(355\) 3.28761 + 5.69431i 0.174488 + 0.302223i
\(356\) −17.0423 29.5181i −0.903240 1.56446i
\(357\) 3.16879 3.31293i 0.167710 0.175339i
\(358\) 24.3780 42.2239i 1.28842 2.23160i
\(359\) 17.8334 0.941209 0.470605 0.882344i \(-0.344036\pi\)
0.470605 + 0.882344i \(0.344036\pi\)
\(360\) −0.927080 20.8332i −0.0488614 1.09801i
\(361\) −12.1729 −0.640677
\(362\) −27.4894 + 47.6131i −1.44481 + 2.50249i
\(363\) −3.99149 13.6729i −0.209499 0.717639i
\(364\) −10.0202 17.3555i −0.525202 0.909676i
\(365\) 8.36565 + 14.4897i 0.437878 + 0.758427i
\(366\) 6.36673 + 21.8093i 0.332795 + 1.13999i
\(367\) 14.9165 25.8361i 0.778633 1.34863i −0.154097 0.988056i \(-0.549247\pi\)
0.932730 0.360576i \(-0.117420\pi\)
\(368\) 46.6929 2.43404
\(369\) 0.543379 + 12.2107i 0.0282872 + 0.635665i
\(370\) −10.4004 −0.540690
\(371\) −18.6215 + 32.2535i −0.966783 + 1.67452i
\(372\) 38.6478 40.4059i 2.00380 2.09495i
\(373\) 7.28970 + 12.6261i 0.377446 + 0.653756i 0.990690 0.136138i \(-0.0434690\pi\)
−0.613244 + 0.789894i \(0.710136\pi\)
\(374\) 3.51018 + 6.07981i 0.181507 + 0.314379i
\(375\) −1.68259 0.410979i −0.0868884 0.0212229i
\(376\) −1.41106 + 2.44403i −0.0727700 + 0.126041i
\(377\) −6.95774 −0.358342
\(378\) 11.1362 56.3554i 0.572784 2.89861i
\(379\) 20.7048 1.06353 0.531766 0.846891i \(-0.321529\pi\)
0.531766 + 0.846891i \(0.321529\pi\)
\(380\) −6.12450 + 10.6079i −0.314180 + 0.544176i
\(381\) −22.9526 5.60628i −1.17590 0.287219i
\(382\) −19.9350 34.5284i −1.01996 1.76663i
\(383\) 12.7832 + 22.1412i 0.653193 + 1.13136i 0.982344 + 0.187086i \(0.0599043\pi\)
−0.329150 + 0.944277i \(0.606762\pi\)
\(384\) −6.44977 + 6.74317i −0.329138 + 0.344111i
\(385\) −9.37156 + 16.2320i −0.477619 + 0.827260i
\(386\) −4.88260 −0.248518
\(387\) 25.3816 16.1997i 1.29022 0.823479i
\(388\) −45.1671 −2.29301
\(389\) 8.56520 14.8354i 0.434273 0.752183i −0.562963 0.826482i \(-0.690339\pi\)
0.997236 + 0.0742992i \(0.0236720\pi\)
\(390\) 1.25523 + 4.29979i 0.0635610 + 0.217728i
\(391\) −1.68064 2.91096i −0.0849939 0.147214i
\(392\) 39.1868 + 67.8736i 1.97923 + 3.42813i
\(393\) −4.05888 13.9037i −0.204743 0.701349i
\(394\) −14.0422 + 24.3218i −0.707435 + 1.22531i
\(395\) −14.5458 −0.731877
\(396\) 54.7189 + 28.4266i 2.74973 + 1.42849i
\(397\) −15.8337 −0.794669 −0.397334 0.917674i \(-0.630065\pi\)
−0.397334 + 0.917674i \(0.630065\pi\)
\(398\) −1.55308 + 2.69002i −0.0778490 + 0.134838i
\(399\) −13.3726 + 13.9809i −0.669467 + 0.699920i
\(400\) −4.30043 7.44856i −0.215021 0.372428i
\(401\) 17.0554 + 29.5408i 0.851706 + 1.47520i 0.879668 + 0.475588i \(0.157765\pi\)
−0.0279624 + 0.999609i \(0.508902\pi\)
\(402\) −63.3463 15.4726i −3.15943 0.771705i
\(403\) −3.44304 + 5.96353i −0.171510 + 0.297065i
\(404\) 36.5636 1.81911
\(405\) −3.78990 + 8.16313i −0.188321 + 0.405629i
\(406\) 76.9200 3.81748
\(407\) 8.81637 15.2704i 0.437011 0.756926i
\(408\) −7.24167 1.76881i −0.358516 0.0875692i
\(409\) 9.57264 + 16.5803i 0.473336 + 0.819843i 0.999534 0.0305196i \(-0.00971618\pi\)
−0.526198 + 0.850362i \(0.676383\pi\)
\(410\) 5.26825 + 9.12487i 0.260180 + 0.450645i
\(411\) 8.08223 8.44989i 0.398667 0.416802i
\(412\) −2.32812 + 4.03243i −0.114698 + 0.198664i
\(413\) 45.8331 2.25530
\(414\) −37.3761 19.4170i −1.83694 0.954294i
\(415\) 3.04113 0.149283
\(416\) −4.17008 + 7.22278i −0.204455 + 0.354126i
\(417\) −1.70161 5.82887i −0.0833282 0.285441i
\(418\) −14.8133 25.6574i −0.724542 1.25494i
\(419\) −3.56749 6.17908i −0.174284 0.301868i 0.765630 0.643282i \(-0.222428\pi\)
−0.939913 + 0.341414i \(0.889094\pi\)
\(420\) −9.72710 33.3202i −0.474634 1.62586i
\(421\) 13.0809 22.6568i 0.637524 1.10422i −0.348451 0.937327i \(-0.613292\pi\)
0.985974 0.166896i \(-0.0533745\pi\)
\(422\) 0.608282 0.0296107
\(423\) 1.02667 0.655269i 0.0499183 0.0318603i
\(424\) 60.5599 2.94105
\(425\) −0.309576 + 0.536201i −0.0150166 + 0.0260096i
\(426\) 20.3577 21.2837i 0.986332 1.03120i
\(427\) 10.8415 + 18.7780i 0.524657 + 0.908732i
\(428\) −9.94244 17.2208i −0.480586 0.832399i
\(429\) −7.37724 1.80192i −0.356176 0.0869978i
\(430\) 12.9782 22.4790i 0.625866 1.08403i
\(431\) −12.4211 −0.598302 −0.299151 0.954206i \(-0.596703\pi\)
−0.299151 + 0.954206i \(0.596703\pi\)
\(432\) −42.3015 + 14.4187i −2.03523 + 0.693721i
\(433\) −6.04541 −0.290524 −0.145262 0.989393i \(-0.546402\pi\)
−0.145262 + 0.989393i \(0.546402\pi\)
\(434\) 38.0640 65.9287i 1.82713 3.16468i
\(435\) −11.7070 2.85949i −0.561307 0.137102i
\(436\) −11.0693 19.1726i −0.530124 0.918201i
\(437\) 7.09248 + 12.2845i 0.339279 + 0.587649i
\(438\) 51.8020 54.1585i 2.47520 2.58779i
\(439\) 14.3382 24.8345i 0.684326 1.18529i −0.289323 0.957232i \(-0.593430\pi\)
0.973648 0.228055i \(-0.0732366\pi\)
\(440\) 30.4776 1.45296
\(441\) −1.50369 33.7907i −0.0716042 1.60908i
\(442\) 1.60119 0.0761608
\(443\) 4.57498 7.92410i 0.217364 0.376485i −0.736637 0.676288i \(-0.763588\pi\)
0.954001 + 0.299803i \(0.0969209\pi\)
\(444\) 9.15086 + 31.3463i 0.434280 + 1.48763i
\(445\) 3.63535 + 6.29661i 0.172332 + 0.298488i
\(446\) −21.6650 37.5249i −1.02587 1.77686i
\(447\) −5.95992 20.4157i −0.281895 0.965631i
\(448\) 9.33379 16.1666i 0.440980 0.763800i
\(449\) 35.4645 1.67367 0.836837 0.547452i \(-0.184402\pi\)
0.836837 + 0.547452i \(0.184402\pi\)
\(450\) 0.344904 + 7.75064i 0.0162589 + 0.365369i
\(451\) −17.8635 −0.841160
\(452\) 8.33064 14.4291i 0.391840 0.678687i
\(453\) 19.9891 20.8984i 0.939172 0.981895i
\(454\) 29.4820 + 51.0644i 1.38366 + 2.39657i
\(455\) 2.13745 + 3.70217i 0.100205 + 0.173560i
\(456\) 30.5605 + 7.46455i 1.43113 + 0.349560i
\(457\) −4.70631 + 8.15156i −0.220152 + 0.381314i −0.954854 0.297076i \(-0.903989\pi\)
0.734702 + 0.678390i \(0.237322\pi\)
\(458\) 18.0375 0.842837
\(459\) 2.42149 + 2.11821i 0.113025 + 0.0988696i
\(460\) −25.4502 −1.18662
\(461\) 10.2513 17.7557i 0.477450 0.826967i −0.522216 0.852813i \(-0.674895\pi\)
0.999666 + 0.0258461i \(0.00822797\pi\)
\(462\) 81.5577 + 19.9209i 3.79441 + 0.926802i
\(463\) 18.8916 + 32.7211i 0.877965 + 1.52068i 0.853570 + 0.520978i \(0.174433\pi\)
0.0243951 + 0.999702i \(0.492234\pi\)
\(464\) −29.9213 51.8251i −1.38906 2.40592i
\(465\) −8.24411 + 8.61913i −0.382311 + 0.399703i
\(466\) −11.1616 + 19.3325i −0.517053 + 0.895562i
\(467\) −12.8882 −0.596394 −0.298197 0.954504i \(-0.596385\pi\)
−0.298197 + 0.954504i \(0.596385\pi\)
\(468\) 11.8550 7.56641i 0.547996 0.349757i
\(469\) −62.2334 −2.87367
\(470\) 0.524962 0.909260i 0.0242147 0.0419411i
\(471\) −3.88148 13.2960i −0.178849 0.612649i
\(472\) −37.2639 64.5429i −1.71521 2.97083i
\(473\) 22.0032 + 38.1107i 1.01171 + 1.75233i
\(474\) 18.2583 + 62.5437i 0.838629 + 2.87273i
\(475\) 1.30644 2.26282i 0.0599435 0.103825i
\(476\) −12.4080 −0.568722
\(477\) −23.1932 12.0489i −1.06194 0.551682i
\(478\) 7.94194 0.363256
\(479\) −10.0940 + 17.4833i −0.461207 + 0.798835i −0.999021 0.0442289i \(-0.985917\pi\)
0.537814 + 0.843063i \(0.319250\pi\)
\(480\) −9.98493 + 10.4391i −0.455748 + 0.476479i
\(481\) −2.01082 3.48284i −0.0916855 0.158804i
\(482\) 7.54195 + 13.0630i 0.343527 + 0.595006i
\(483\) −39.0492 9.53794i −1.77680 0.433991i
\(484\) −19.2757 + 33.3865i −0.876167 + 1.51757i
\(485\) 9.63475 0.437492
\(486\) 39.8569 + 6.04917i 1.80795 + 0.274396i
\(487\) 15.1480 0.686423 0.343212 0.939258i \(-0.388485\pi\)
0.343212 + 0.939258i \(0.388485\pi\)
\(488\) 17.6290 30.5344i 0.798029 1.38223i
\(489\) −29.2304 7.13967i −1.32185 0.322867i
\(490\) −14.5788 25.2512i −0.658603 1.14073i
\(491\) 5.74374 + 9.94845i 0.259211 + 0.448967i 0.966031 0.258427i \(-0.0832040\pi\)
−0.706820 + 0.707394i \(0.749871\pi\)
\(492\) 22.8666 23.9068i 1.03091 1.07780i
\(493\) −2.15395 + 3.73074i −0.0970089 + 0.168024i
\(494\) −6.75717 −0.304020
\(495\) −11.6723 6.06379i −0.524630 0.272547i
\(496\) −59.2263 −2.65934
\(497\) 14.0542 24.3426i 0.630417 1.09191i
\(498\) −3.81732 13.0762i −0.171058 0.585960i
\(499\) 6.56005 + 11.3623i 0.293668 + 0.508648i 0.974674 0.223630i \(-0.0717906\pi\)
−0.681006 + 0.732278i \(0.738457\pi\)
\(500\) 2.34397 + 4.05987i 0.104825 + 0.181563i
\(501\) −2.07541 7.10933i −0.0927225 0.317621i
\(502\) −30.6584 + 53.1019i −1.36835 + 2.37006i
\(503\) 7.80396 0.347961 0.173981 0.984749i \(-0.444337\pi\)
0.173981 + 0.984749i \(0.444337\pi\)
\(504\) −75.1464 + 47.9621i −3.34729 + 2.13640i
\(505\) −7.79952 −0.347074
\(506\) 30.7781 53.3092i 1.36825 2.36988i
\(507\) −1.19721 + 1.25167i −0.0531700 + 0.0555887i
\(508\) 31.9747 + 55.3818i 1.41865 + 2.45717i
\(509\) −10.9919 19.0385i −0.487205 0.843865i 0.512686 0.858576i \(-0.328650\pi\)
−0.999892 + 0.0147114i \(0.995317\pi\)
\(510\) 2.69414 + 0.658056i 0.119298 + 0.0291392i
\(511\) 35.7623 61.9421i 1.58203 2.74016i
\(512\) 47.8414 2.11431
\(513\) −10.2189 8.93905i −0.451175 0.394669i
\(514\) −49.9316 −2.20239
\(515\) 0.496621 0.860172i 0.0218837 0.0379037i
\(516\) −79.1696 19.3375i −3.48525 0.851288i
\(517\) 0.890017 + 1.54155i 0.0391429 + 0.0677975i
\(518\) 22.2303 + 38.5039i 0.976742 + 1.69177i
\(519\) −15.5109 + 16.2165i −0.680854 + 0.711826i
\(520\) 3.47564 6.01998i 0.152417 0.263994i
\(521\) 12.1706 0.533205 0.266603 0.963807i \(-0.414099\pi\)
0.266603 + 0.963807i \(0.414099\pi\)
\(522\) 2.39975 + 53.9269i 0.105034 + 2.36032i
\(523\) 32.5468 1.42317 0.711587 0.702598i \(-0.247977\pi\)
0.711587 + 0.702598i \(0.247977\pi\)
\(524\) −19.6011 + 33.9501i −0.856279 + 1.48312i
\(525\) 2.07492 + 7.10766i 0.0905571 + 0.310204i
\(526\) −15.1542 26.2478i −0.660753 1.14446i
\(527\) 2.13177 + 3.69233i 0.0928612 + 0.160840i
\(528\) −18.3035 62.6988i −0.796559 2.72862i
\(529\) −3.23629 + 5.60543i −0.140708 + 0.243714i
\(530\) −22.5303 −0.978653
\(531\) 1.42990 + 32.1326i 0.0620524 + 1.39443i
\(532\) 52.3632 2.27023
\(533\) −2.03714 + 3.52842i −0.0882382 + 0.152833i
\(534\) 22.5109 23.5349i 0.974143 1.01846i
\(535\) 2.12086 + 3.67343i 0.0916927 + 0.158816i
\(536\) 50.5979 + 87.6381i 2.18550 + 3.78539i
\(537\) 31.7219 + 7.74821i 1.36890 + 0.334360i
\(538\) −21.9933 + 38.0936i −0.948199 + 1.64233i
\(539\) 49.4336 2.12925
\(540\) 23.0566 7.85899i 0.992199 0.338197i
\(541\) −16.3865 −0.704511 −0.352256 0.935904i \(-0.614585\pi\)
−0.352256 + 0.935904i \(0.614585\pi\)
\(542\) −16.1424 + 27.9595i −0.693378 + 1.20097i
\(543\) −35.7707 8.73715i −1.53507 0.374947i
\(544\) 2.58191 + 4.47200i 0.110698 + 0.191735i
\(545\) 2.36123 + 4.08978i 0.101144 + 0.175187i
\(546\) 13.2356 13.8376i 0.566430 0.592196i
\(547\) −9.53335 + 16.5122i −0.407616 + 0.706012i −0.994622 0.103570i \(-0.966973\pi\)
0.587006 + 0.809583i \(0.300307\pi\)
\(548\) −31.6477 −1.35192
\(549\) −12.8266 + 8.18657i −0.547427 + 0.349394i
\(550\) −11.3387 −0.483483
\(551\) 9.08986 15.7441i 0.387241 0.670721i
\(552\) 18.3168 + 62.7444i 0.779616 + 2.67058i
\(553\) 31.0908 + 53.8508i 1.32211 + 2.28997i
\(554\) 26.2344 + 45.4393i 1.11459 + 1.93053i
\(555\) −1.95200 6.68659i −0.0828579 0.283830i
\(556\) −8.21740 + 14.2330i −0.348495 + 0.603612i
\(557\) −38.2913 −1.62245 −0.811227 0.584732i \(-0.801200\pi\)
−0.811227 + 0.584732i \(0.801200\pi\)
\(558\) 47.4087 + 24.6290i 2.00697 + 1.04263i
\(559\) 10.0369 0.424516
\(560\) −18.3839 + 31.8418i −0.776860 + 1.34556i
\(561\) −3.25001 + 3.39785i −0.137215 + 0.143457i
\(562\) −10.8287 18.7558i −0.456779 0.791165i
\(563\) −5.17040 8.95540i −0.217906 0.377425i 0.736261 0.676697i \(-0.236589\pi\)
−0.954168 + 0.299272i \(0.903256\pi\)
\(564\) −3.20236 0.782192i −0.134844 0.0329362i
\(565\) −1.77704 + 3.07792i −0.0747605 + 0.129489i
\(566\) 5.75569 0.241930
\(567\) 38.3220 3.41743i 1.60937 0.143518i
\(568\) −45.7062 −1.91779
\(569\) 13.0134 22.5398i 0.545548 0.944917i −0.453024 0.891498i \(-0.649655\pi\)
0.998572 0.0534187i \(-0.0170118\pi\)
\(570\) −11.3695 2.77706i −0.476217 0.116318i
\(571\) 16.1620 + 27.9933i 0.676357 + 1.17148i 0.976070 + 0.217456i \(0.0697757\pi\)
−0.299713 + 0.954029i \(0.596891\pi\)
\(572\) 10.2770 + 17.8004i 0.429705 + 0.744270i
\(573\) 18.4574 19.2970i 0.771069 0.806144i
\(574\) 22.5212 39.0078i 0.940016 1.62816i
\(575\) 5.42887 0.226399
\(576\) 11.6252 + 6.03935i 0.484385 + 0.251640i
\(577\) 12.4808 0.519581 0.259790 0.965665i \(-0.416347\pi\)
0.259790 + 0.965665i \(0.416347\pi\)
\(578\) −21.4862 + 37.2152i −0.893708 + 1.54795i
\(579\) −0.916394 3.13911i −0.0380841 0.130457i
\(580\) 16.3087 + 28.2475i 0.677182 + 1.17291i
\(581\) −6.50026 11.2588i −0.269676 0.467093i
\(582\) −12.0938 41.4274i −0.501305 1.71722i
\(583\) 19.0988 33.0802i 0.790993 1.37004i
\(584\) −116.304 −4.81269
\(585\) −2.52882 + 1.61402i −0.104554 + 0.0667314i
\(586\) 6.56579 0.271230
\(587\) 12.5975 21.8195i 0.519955 0.900588i −0.479776 0.877391i \(-0.659282\pi\)
0.999731 0.0231969i \(-0.00738446\pi\)
\(588\) −63.2788 + 66.1573i −2.60957 + 2.72828i
\(589\) −8.99625 15.5820i −0.370684 0.642044i
\(590\) 13.8634 + 24.0121i 0.570747 + 0.988563i
\(591\) −18.2724 4.46312i −0.751627 0.183588i
\(592\) 17.2948 29.9554i 0.710811 1.23116i
\(593\) −38.4456 −1.57877 −0.789385 0.613898i \(-0.789601\pi\)
−0.789385 + 0.613898i \(0.789601\pi\)
\(594\) −11.4216 + 57.7998i −0.468635 + 2.37156i
\(595\) 2.64681 0.108508
\(596\) −28.7816 + 49.8512i −1.17894 + 2.04198i
\(597\) −2.02095 0.493627i −0.0827120 0.0202028i
\(598\) −7.01981 12.1587i −0.287061 0.497205i
\(599\) 23.6618 + 40.9834i 0.966795 + 1.67454i 0.704713 + 0.709493i \(0.251076\pi\)
0.262082 + 0.965045i \(0.415591\pi\)
\(600\) 8.32215 8.70072i 0.339750 0.355205i
\(601\) −20.0328 + 34.6979i −0.817156 + 1.41536i 0.0906140 + 0.995886i \(0.471117\pi\)
−0.907770 + 0.419469i \(0.862216\pi\)
\(602\) −110.961 −4.52244
\(603\) −1.94156 43.6304i −0.0790664 1.77677i
\(604\) −78.2717 −3.18483
\(605\) 4.11176 7.12178i 0.167167 0.289542i
\(606\) 9.79018 + 33.5363i 0.397699 + 1.36232i
\(607\) −10.3060 17.8505i −0.418306 0.724528i 0.577463 0.816417i \(-0.304043\pi\)
−0.995769 + 0.0918893i \(0.970709\pi\)
\(608\) −10.8959 18.8723i −0.441887 0.765371i
\(609\) 14.4368 + 49.4532i 0.585008 + 2.00395i
\(610\) −6.55858 + 11.3598i −0.265549 + 0.459945i
\(611\) 0.405987 0.0164245
\(612\) −0.387107 8.69901i −0.0156479 0.351637i
\(613\) −4.02465 −0.162554 −0.0812770 0.996692i \(-0.525900\pi\)
−0.0812770 + 0.996692i \(0.525900\pi\)
\(614\) 24.8710 43.0778i 1.00371 1.73848i
\(615\) −4.87777 + 5.09966i −0.196691 + 0.205638i
\(616\) −65.1443 112.833i −2.62474 4.54618i
\(617\) −14.9120 25.8283i −0.600334 1.03981i −0.992770 0.120030i \(-0.961701\pi\)
0.392436 0.919779i \(-0.371632\pi\)
\(618\) −4.32193 1.05565i −0.173854 0.0424646i
\(619\) 23.7693 41.1696i 0.955368 1.65475i 0.221844 0.975082i \(-0.428792\pi\)
0.733524 0.679664i \(-0.237874\pi\)
\(620\) 32.2815 1.29646
\(621\) 5.46858 27.6741i 0.219447 1.11052i
\(622\) −22.6554 −0.908397
\(623\) 15.5407 26.9174i 0.622627 1.07842i
\(624\) −14.4717 3.53478i −0.579331 0.141504i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −15.7471 27.2747i −0.629379 1.09012i
\(627\) 13.7153 14.3392i 0.547738 0.572654i
\(628\) −18.7444 + 32.4663i −0.747984 + 1.29555i
\(629\) −2.49000 −0.0992830
\(630\) 27.9569 17.8435i 1.11383 0.710901i
\(631\) 32.2213 1.28271 0.641354 0.767245i \(-0.278373\pi\)
0.641354 + 0.767245i \(0.278373\pi\)
\(632\) 50.5558 87.5652i 2.01100 3.48316i
\(633\) 0.114166 + 0.391075i 0.00453768 + 0.0155438i
\(634\) 22.4015 + 38.8006i 0.889678 + 1.54097i
\(635\) −6.82064 11.8137i −0.270669 0.468812i
\(636\) 19.8234 + 67.9052i 0.786050 + 2.69262i
\(637\) 5.63736 9.76419i 0.223360 0.386871i
\(638\) −78.8916 −3.12335
\(639\) 17.5045 + 9.09365i 0.692468 + 0.359739i
\(640\) −5.38732 −0.212953
\(641\) −1.75107 + 3.03295i −0.0691632 + 0.119794i −0.898533 0.438906i \(-0.855366\pi\)
0.829370 + 0.558700i \(0.188700\pi\)
\(642\) 13.1328 13.7302i 0.518312 0.541889i
\(643\) −0.0115697 0.0200394i −0.000456266 0.000790276i 0.865797 0.500395i \(-0.166812\pi\)
−0.866253 + 0.499605i \(0.833479\pi\)
\(644\) 54.3984 + 94.2207i 2.14360 + 3.71282i
\(645\) 16.8880 + 4.12496i 0.664963 + 0.162420i
\(646\) −2.09186 + 3.62320i −0.0823030 + 0.142553i
\(647\) −20.8611 −0.820136 −0.410068 0.912055i \(-0.634495\pi\)
−0.410068 + 0.912055i \(0.634495\pi\)
\(648\) −35.9696 51.1872i −1.41302 2.01082i
\(649\) −47.0078 −1.84522
\(650\) −1.29305 + 2.23963i −0.0507177 + 0.0878456i
\(651\) 49.5308 + 12.0981i 1.94126 + 0.474163i
\(652\) 40.7202 + 70.5294i 1.59472 + 2.76214i
\(653\) −5.47824 9.48859i −0.214380 0.371317i 0.738700 0.674034i \(-0.235440\pi\)
−0.953081 + 0.302716i \(0.902106\pi\)
\(654\) 14.6213 15.2864i 0.571738 0.597746i
\(655\) 4.18118 7.24202i 0.163372 0.282969i
\(656\) −35.0422 −1.36817
\(657\) 44.5419 + 23.1397i 1.73775 + 0.902765i
\(658\) −4.48831 −0.174973
\(659\) 17.0546 29.5395i 0.664354 1.15070i −0.315106 0.949057i \(-0.602040\pi\)
0.979460 0.201639i \(-0.0646267\pi\)
\(660\) 9.97642 + 34.1743i 0.388332 + 1.33023i
\(661\) 12.0901 + 20.9406i 0.470249 + 0.814495i 0.999421 0.0340194i \(-0.0108308\pi\)
−0.529172 + 0.848514i \(0.677497\pi\)
\(662\) 3.18186 + 5.51115i 0.123667 + 0.214197i
\(663\) 0.300520 + 1.02943i 0.0116712 + 0.0399799i
\(664\) −10.5699 + 18.3076i −0.410191 + 0.710471i
\(665\) −11.1698 −0.433145
\(666\) −26.3007 + 16.7864i −1.01913 + 0.650460i
\(667\) 37.7726 1.46256
\(668\) −10.0226 + 17.3596i −0.387784 + 0.671662i
\(669\) 20.0592 20.9717i 0.775534 0.810813i
\(670\) −18.8241 32.6043i −0.727238 1.25961i
\(671\) −11.1194 19.2593i −0.429259 0.743498i
\(672\) 59.9897 + 14.6528i 2.31415 + 0.565243i
\(673\) −9.66073 + 16.7329i −0.372394 + 0.645005i −0.989933 0.141535i \(-0.954796\pi\)
0.617539 + 0.786540i \(0.288130\pi\)
\(674\) −53.6579 −2.06683
\(675\) −4.91829 + 1.67643i −0.189305 + 0.0645258i
\(676\) 4.68793 0.180305
\(677\) 19.1367 33.1457i 0.735483 1.27389i −0.219028 0.975718i \(-0.570289\pi\)
0.954511 0.298175i \(-0.0963779\pi\)
\(678\) 15.4650 + 3.77740i 0.593930 + 0.145070i
\(679\) −20.5938 35.6695i −0.790316 1.36887i
\(680\) −2.15195 3.72728i −0.0825234 0.142935i
\(681\) −27.2968 + 28.5386i −1.04602 + 1.09360i
\(682\) −39.0396 + 67.6185i −1.49490 + 2.58925i
\(683\) 0.692198 0.0264862 0.0132431 0.999912i \(-0.495784\pi\)
0.0132431 + 0.999912i \(0.495784\pi\)
\(684\) 1.63363 + 36.7107i 0.0624633 + 1.40367i
\(685\) 6.75088 0.257938
\(686\) −23.6292 + 40.9269i −0.902165 + 1.56260i
\(687\) 3.38538 + 11.5966i 0.129160 + 0.442439i
\(688\) 43.1630 + 74.7605i 1.64557 + 2.85022i
\(689\) −4.35603 7.54486i −0.165951 0.287436i
\(690\) −6.81447 23.3430i −0.259422 0.888652i
\(691\) 16.4956 28.5711i 0.627520 1.08690i −0.360527 0.932749i \(-0.617403\pi\)
0.988048 0.154148i \(-0.0492634\pi\)
\(692\) 60.7363 2.30885
\(693\) 2.49974 + 56.1738i 0.0949571 + 2.13386i
\(694\) 32.5530 1.23569
\(695\) 1.75288 3.03608i 0.0664907 0.115165i
\(696\) 57.9033 60.5373i 2.19482 2.29466i
\(697\) 1.26130 + 2.18463i 0.0477750 + 0.0827487i
\(698\) −25.8259 44.7318i −0.977526 1.69312i
\(699\) −14.5241 3.54758i −0.549352 0.134182i
\(700\) 10.0202 17.3555i 0.378728 0.655977i
\(701\) −18.7776 −0.709219 −0.354610 0.935014i \(-0.615386\pi\)
−0.354610 + 0.935014i \(0.615386\pi\)
\(702\) 10.1142 + 8.84745i 0.381735 + 0.333926i
\(703\) 10.5081 0.396319
\(704\) −9.57303 + 16.5810i −0.360797 + 0.624919i
\(705\) 0.683107 + 0.166852i 0.0257273 + 0.00628402i
\(706\) 7.61522 + 13.1899i 0.286603 + 0.496410i
\(707\) 16.6711 + 28.8751i 0.626980 + 1.08596i
\(708\) 60.1736 62.9109i 2.26146 2.36434i
\(709\) −4.04721 + 7.00997i −0.151996 + 0.263265i −0.931961 0.362558i \(-0.881903\pi\)
0.779965 + 0.625823i \(0.215237\pi\)
\(710\) 17.0042 0.638157
\(711\) −36.7837 + 23.4771i −1.37949 + 0.880460i
\(712\) −50.5407 −1.89409
\(713\) 18.6918 32.3752i 0.700014 1.21246i
\(714\) −3.32235 11.3807i −0.124336 0.425912i
\(715\) −2.19223 3.79706i −0.0819848 0.142002i
\(716\) −44.1909 76.5409i −1.65149 2.86047i
\(717\) 1.49059 + 5.10602i 0.0556670 + 0.190688i
\(718\) 23.0595 39.9402i 0.860572 1.49055i
\(719\) 31.8467 1.18768 0.593840 0.804583i \(-0.297611\pi\)
0.593840 + 0.804583i \(0.297611\pi\)
\(720\) −22.8971 11.8951i −0.853325 0.443305i
\(721\) −4.24600 −0.158129
\(722\) −15.7402 + 27.2627i −0.585788 + 1.01461i
\(723\) −6.98295 + 7.30060i −0.259699 + 0.271512i
\(724\) 49.8312 + 86.3101i 1.85196 + 3.20769i
\(725\) −3.47887 6.02558i −0.129202 0.223784i
\(726\) −35.7834 8.74026i −1.32805 0.324381i
\(727\) 10.1546 17.5883i 0.376613 0.652313i −0.613954 0.789342i \(-0.710422\pi\)
0.990567 + 0.137029i \(0.0437552\pi\)
\(728\) −29.7160 −1.10135
\(729\) 3.59145 + 26.7601i 0.133017 + 0.991114i
\(730\) 43.2689 1.60145
\(731\) 3.10718 5.38180i 0.114923 0.199053i
\(732\) 40.0085 + 9.77227i 1.47876 + 0.361194i
\(733\) 7.15966 + 12.4009i 0.264448 + 0.458037i 0.967419 0.253181i \(-0.0814769\pi\)
−0.702971 + 0.711219i \(0.748144\pi\)
\(734\) −38.5755 66.8147i −1.42385 2.46618i
\(735\) 13.4982 14.1122i 0.497889 0.520538i
\(736\) 22.6388 39.2115i 0.834477 1.44536i
\(737\) 63.8285 2.35115
\(738\) 28.0502 + 14.5721i 1.03254 + 0.536408i
\(739\) −32.7316 −1.20405 −0.602025 0.798477i \(-0.705639\pi\)
−0.602025 + 0.798477i \(0.705639\pi\)
\(740\) −9.42660 + 16.3273i −0.346529 + 0.600205i
\(741\) −1.26822 4.34431i −0.0465894 0.159592i
\(742\) 48.1573 + 83.4108i 1.76791 + 3.06211i
\(743\) −19.4753 33.7323i −0.714481 1.23752i −0.963159 0.268931i \(-0.913330\pi\)
0.248678 0.968586i \(-0.420004\pi\)
\(744\) −23.2335 79.5863i −0.851780 2.91778i
\(745\) 6.13951 10.6339i 0.224934 0.389597i
\(746\) 37.7038 1.38044
\(747\) 7.69049 4.90844i 0.281380 0.179590i
\(748\) 12.7261 0.465312
\(749\) 9.06644 15.7035i 0.331280 0.573795i
\(750\) −3.09611 + 3.23696i −0.113054 + 0.118197i
\(751\) 11.5075 + 19.9316i 0.419916 + 0.727316i 0.995931 0.0901237i \(-0.0287263\pi\)
−0.576015 + 0.817439i \(0.695393\pi\)
\(752\) 1.74592 + 3.02401i 0.0636670 + 0.110274i
\(753\) −39.8943 9.74437i −1.45383 0.355105i
\(754\) −8.99672 + 15.5828i −0.327641 + 0.567491i
\(755\) 16.6964 0.607645
\(756\) −78.3776 68.5613i −2.85056 2.49355i
\(757\) 41.6474 1.51370 0.756850 0.653588i \(-0.226737\pi\)
0.756850 + 0.653588i \(0.226737\pi\)
\(758\) 26.7723 46.3710i 0.972415 1.68427i
\(759\) 40.0500 + 9.78241i 1.45372 + 0.355079i
\(760\) 9.08142 + 15.7295i 0.329418 + 0.570568i
\(761\) −3.44431 5.96571i −0.124856 0.216257i 0.796821 0.604216i \(-0.206514\pi\)
−0.921677 + 0.387959i \(0.873180\pi\)
\(762\) −42.2349 + 44.1562i −1.53001 + 1.59961i
\(763\) 10.0940 17.4834i 0.365428 0.632940i
\(764\) −72.2738 −2.61477
\(765\) 0.0825751 + 1.85562i 0.00298551 + 0.0670900i
\(766\) 66.1176 2.38893
\(767\) −5.36073 + 9.28505i −0.193565 + 0.335264i
\(768\) 11.0014 + 37.6853i 0.396978 + 1.35985i
\(769\) 4.78387 + 8.28591i 0.172511 + 0.298797i 0.939297 0.343105i \(-0.111479\pi\)
−0.766786 + 0.641903i \(0.778145\pi\)
\(770\) 24.2358 + 41.9777i 0.873399 + 1.51277i
\(771\) −9.37145 32.1019i −0.337504 1.15612i
\(772\) −4.42545 + 7.66510i −0.159275 + 0.275873i
\(773\) −10.5131