Properties

Label 144.2.x.e.85.17
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.17
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30266 + 0.550520i) q^{2} +(-1.71859 - 0.215523i) q^{3} +(1.39386 + 1.43428i) q^{4} +(2.73721 - 0.733432i) q^{5} +(-2.12009 - 1.22687i) q^{6} +(-1.14487 + 0.660988i) q^{7} +(1.02612 + 2.63573i) q^{8} +(2.90710 + 0.740791i) q^{9} +O(q^{10})\) \(q+(1.30266 + 0.550520i) q^{2} +(-1.71859 - 0.215523i) q^{3} +(1.39386 + 1.43428i) q^{4} +(2.73721 - 0.733432i) q^{5} +(-2.12009 - 1.22687i) q^{6} +(-1.14487 + 0.660988i) q^{7} +(1.02612 + 2.63573i) q^{8} +(2.90710 + 0.740791i) q^{9} +(3.96942 + 0.551472i) q^{10} +(-0.343957 + 1.28367i) q^{11} +(-2.08635 - 2.76535i) q^{12} +(-0.902174 - 3.36696i) q^{13} +(-1.85526 + 0.230773i) q^{14} +(-4.86220 + 0.670538i) q^{15} +(-0.114331 + 3.99837i) q^{16} -7.60772 q^{17} +(3.37915 + 2.56542i) q^{18} +(4.32297 - 4.32297i) q^{19} +(4.86722 + 2.90363i) q^{20} +(2.11001 - 0.889223i) q^{21} +(-1.15474 + 1.48283i) q^{22} +(-3.46087 - 1.99814i) q^{23} +(-1.19542 - 4.75089i) q^{24} +(2.62424 - 1.51511i) q^{25} +(0.678350 - 4.88267i) q^{26} +(-4.83645 - 1.89966i) q^{27} +(-2.54382 - 0.720737i) q^{28} +(-3.54658 - 0.950303i) q^{29} +(-6.70295 - 1.80325i) q^{30} +(0.569129 - 0.985760i) q^{31} +(-2.35011 + 5.14558i) q^{32} +(0.867781 - 2.13197i) q^{33} +(-9.91029 - 4.18820i) q^{34} +(-2.64894 + 2.64894i) q^{35} +(2.98958 + 5.20216i) q^{36} +(2.26014 + 2.26014i) q^{37} +(8.01124 - 3.25149i) q^{38} +(0.824810 + 5.98086i) q^{39} +(4.74184 + 6.46194i) q^{40} +(-1.42311 - 0.821634i) q^{41} +(3.23817 + 0.00324637i) q^{42} +(1.65438 - 6.17424i) q^{43} +(-2.32057 + 1.29591i) q^{44} +(8.50065 - 0.104463i) q^{45} +(-3.40833 - 4.50817i) q^{46} +(4.58731 + 7.94546i) q^{47} +(1.05823 - 6.84691i) q^{48} +(-2.62619 + 4.54869i) q^{49} +(4.25260 - 0.528975i) q^{50} +(13.0746 + 1.63964i) q^{51} +(3.57167 - 5.98703i) q^{52} +(7.72215 + 7.72215i) q^{53} +(-5.25446 - 5.13718i) q^{54} +3.76593i q^{55} +(-2.91696 - 2.33930i) q^{56} +(-8.36111 + 6.49771i) q^{57} +(-4.09683 - 3.19038i) q^{58} +(-4.80982 + 1.28879i) q^{59} +(-7.73895 - 6.03914i) q^{60} +(9.92979 + 2.66068i) q^{61} +(1.28406 - 0.970795i) q^{62} +(-3.81789 + 1.07345i) q^{63} +(-5.89415 + 5.40916i) q^{64} +(-4.93887 - 8.55438i) q^{65} +(2.30411 - 2.29950i) q^{66} +(-3.73189 - 13.9276i) q^{67} +(-10.6041 - 10.9116i) q^{68} +(5.51718 + 4.17987i) q^{69} +(-4.90897 + 1.99238i) q^{70} +7.87498i q^{71} +(1.03052 + 8.42247i) q^{72} +0.577222i q^{73} +(1.69995 + 4.18846i) q^{74} +(-4.83654 + 2.03826i) q^{75} +(12.2259 + 0.174761i) q^{76} +(-0.454704 - 1.69698i) q^{77} +(-2.21813 + 8.24511i) q^{78} +(0.716890 + 1.24169i) q^{79} +(2.61958 + 11.0282i) q^{80} +(7.90246 + 4.30711i) q^{81} +(-1.40151 - 1.85376i) q^{82} +(3.30414 + 0.885341i) q^{83} +(4.21645 + 1.78690i) q^{84} +(-20.8239 + 5.57975i) q^{85} +(5.55414 - 7.13218i) q^{86} +(5.89030 + 2.39755i) q^{87} +(-3.73634 + 0.410620i) q^{88} -16.2114i q^{89} +(11.1310 + 4.54369i) q^{90} +(3.25839 + 3.25839i) q^{91} +(-1.95807 - 7.74898i) q^{92} +(-1.19055 + 1.57146i) q^{93} +(1.60159 + 12.8757i) q^{94} +(8.66225 - 15.0035i) q^{95} +(5.14787 - 8.33663i) q^{96} +(-0.648931 - 1.12398i) q^{97} +(-5.92518 + 4.47964i) q^{98} +(-1.95085 + 3.47695i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30266 + 0.550520i 0.921121 + 0.389276i
\(3\) −1.71859 0.215523i −0.992228 0.124432i
\(4\) 1.39386 + 1.43428i 0.696928 + 0.717141i
\(5\) 2.73721 0.733432i 1.22412 0.328001i 0.411830 0.911261i \(-0.364890\pi\)
0.812286 + 0.583260i \(0.198223\pi\)
\(6\) −2.12009 1.22687i −0.865524 0.500868i
\(7\) −1.14487 + 0.660988i −0.432718 + 0.249830i −0.700504 0.713648i \(-0.747041\pi\)
0.267786 + 0.963479i \(0.413708\pi\)
\(8\) 1.02612 + 2.63573i 0.362789 + 0.931871i
\(9\) 2.90710 + 0.740791i 0.969033 + 0.246930i
\(10\) 3.96942 + 0.551472i 1.25524 + 0.174391i
\(11\) −0.343957 + 1.28367i −0.103707 + 0.387040i −0.998195 0.0600515i \(-0.980874\pi\)
0.894488 + 0.447092i \(0.147540\pi\)
\(12\) −2.08635 2.76535i −0.602276 0.798288i
\(13\) −0.902174 3.36696i −0.250218 0.933827i −0.970689 0.240341i \(-0.922741\pi\)
0.720470 0.693486i \(-0.243926\pi\)
\(14\) −1.85526 + 0.230773i −0.495839 + 0.0616768i
\(15\) −4.86220 + 0.670538i −1.25542 + 0.173132i
\(16\) −0.114331 + 3.99837i −0.0285827 + 0.999591i
\(17\) −7.60772 −1.84514 −0.922572 0.385825i \(-0.873917\pi\)
−0.922572 + 0.385825i \(0.873917\pi\)
\(18\) 3.37915 + 2.56542i 0.796473 + 0.604674i
\(19\) 4.32297 4.32297i 0.991757 0.991757i −0.00820954 0.999966i \(-0.502613\pi\)
0.999966 + 0.00820954i \(0.00261321\pi\)
\(20\) 4.86722 + 2.90363i 1.08834 + 0.649271i
\(21\) 2.11001 0.889223i 0.460442 0.194044i
\(22\) −1.15474 + 1.48283i −0.246192 + 0.316140i
\(23\) −3.46087 1.99814i −0.721642 0.416640i 0.0937148 0.995599i \(-0.470126\pi\)
−0.815357 + 0.578959i \(0.803459\pi\)
\(24\) −1.19542 4.75089i −0.244015 0.969772i
\(25\) 2.62424 1.51511i 0.524849 0.303021i
\(26\) 0.678350 4.88267i 0.133035 0.957571i
\(27\) −4.83645 1.89966i −0.930776 0.365590i
\(28\) −2.54382 0.720737i −0.480737 0.136207i
\(29\) −3.54658 0.950303i −0.658583 0.176467i −0.0859765 0.996297i \(-0.527401\pi\)
−0.572606 + 0.819830i \(0.694068\pi\)
\(30\) −6.70295 1.80325i −1.22379 0.329228i
\(31\) 0.569129 0.985760i 0.102219 0.177048i −0.810380 0.585905i \(-0.800739\pi\)
0.912598 + 0.408857i \(0.134073\pi\)
\(32\) −2.35011 + 5.14558i −0.415445 + 0.909618i
\(33\) 0.867781 2.13197i 0.151061 0.371128i
\(34\) −9.91029 4.18820i −1.69960 0.718271i
\(35\) −2.64894 + 2.64894i −0.447753 + 0.447753i
\(36\) 2.98958 + 5.20216i 0.498263 + 0.867026i
\(37\) 2.26014 + 2.26014i 0.371565 + 0.371565i 0.868047 0.496482i \(-0.165375\pi\)
−0.496482 + 0.868047i \(0.665375\pi\)
\(38\) 8.01124 3.25149i 1.29960 0.527461i
\(39\) 0.824810 + 5.98086i 0.132075 + 0.957704i
\(40\) 4.74184 + 6.46194i 0.749750 + 1.02172i
\(41\) −1.42311 0.821634i −0.222253 0.128318i 0.384740 0.923025i \(-0.374291\pi\)
−0.606993 + 0.794707i \(0.707624\pi\)
\(42\) 3.23817 + 0.00324637i 0.499660 + 0.000500926i
\(43\) 1.65438 6.17424i 0.252291 0.941563i −0.717287 0.696778i \(-0.754616\pi\)
0.969578 0.244784i \(-0.0787172\pi\)
\(44\) −2.32057 + 1.29591i −0.349839 + 0.195366i
\(45\) 8.50065 0.104463i 1.26720 0.0155724i
\(46\) −3.40833 4.50817i −0.502531 0.664694i
\(47\) 4.58731 + 7.94546i 0.669129 + 1.15896i 0.978148 + 0.207909i \(0.0666658\pi\)
−0.309020 + 0.951056i \(0.600001\pi\)
\(48\) 1.05823 6.84691i 0.152742 0.988266i
\(49\) −2.62619 + 4.54869i −0.375170 + 0.649813i
\(50\) 4.25260 0.528975i 0.601408 0.0748084i
\(51\) 13.0746 + 1.63964i 1.83080 + 0.229595i
\(52\) 3.57167 5.98703i 0.495301 0.830252i
\(53\) 7.72215 + 7.72215i 1.06072 + 1.06072i 0.998033 + 0.0626852i \(0.0199664\pi\)
0.0626852 + 0.998033i \(0.480034\pi\)
\(54\) −5.25446 5.13718i −0.715042 0.699082i
\(55\) 3.76593i 0.507798i
\(56\) −2.91696 2.33930i −0.389795 0.312602i
\(57\) −8.36111 + 6.49771i −1.10746 + 0.860642i
\(58\) −4.09683 3.19038i −0.537940 0.418918i
\(59\) −4.80982 + 1.28879i −0.626185 + 0.167786i −0.557938 0.829883i \(-0.688407\pi\)
−0.0682473 + 0.997668i \(0.521741\pi\)
\(60\) −7.73895 6.03914i −0.999094 0.779649i
\(61\) 9.92979 + 2.66068i 1.27138 + 0.340665i 0.830559 0.556931i \(-0.188021\pi\)
0.440820 + 0.897596i \(0.354688\pi\)
\(62\) 1.28406 0.970795i 0.163076 0.123291i
\(63\) −3.81789 + 1.07345i −0.481009 + 0.135242i
\(64\) −5.89415 + 5.40916i −0.736768 + 0.676145i
\(65\) −4.93887 8.55438i −0.612592 1.06104i
\(66\) 2.30411 2.29950i 0.283617 0.283049i
\(67\) −3.73189 13.9276i −0.455923 1.70153i −0.685359 0.728205i \(-0.740355\pi\)
0.229436 0.973324i \(-0.426312\pi\)
\(68\) −10.6041 10.9116i −1.28593 1.32323i
\(69\) 5.51718 + 4.17987i 0.664190 + 0.503198i
\(70\) −4.90897 + 1.99238i −0.586734 + 0.238135i
\(71\) 7.87498i 0.934588i 0.884102 + 0.467294i \(0.154771\pi\)
−0.884102 + 0.467294i \(0.845229\pi\)
\(72\) 1.03052 + 8.42247i 0.121447 + 0.992598i
\(73\) 0.577222i 0.0675588i 0.999429 + 0.0337794i \(0.0107544\pi\)
−0.999429 + 0.0337794i \(0.989246\pi\)
\(74\) 1.69995 + 4.18846i 0.197615 + 0.486898i
\(75\) −4.83654 + 2.03826i −0.558475 + 0.235358i
\(76\) 12.2259 + 0.174761i 1.40241 + 0.0200464i
\(77\) −0.454704 1.69698i −0.0518183 0.193389i
\(78\) −2.21813 + 8.24511i −0.251154 + 0.933575i
\(79\) 0.716890 + 1.24169i 0.0806564 + 0.139701i 0.903532 0.428521i \(-0.140965\pi\)
−0.822876 + 0.568221i \(0.807632\pi\)
\(80\) 2.61958 + 11.0282i 0.292878 + 1.23299i
\(81\) 7.90246 + 4.30711i 0.878051 + 0.478567i
\(82\) −1.40151 1.85376i −0.154771 0.204714i
\(83\) 3.30414 + 0.885341i 0.362676 + 0.0971788i 0.435555 0.900162i \(-0.356552\pi\)
−0.0728790 + 0.997341i \(0.523219\pi\)
\(84\) 4.21645 + 1.78690i 0.460052 + 0.194967i
\(85\) −20.8239 + 5.57975i −2.25867 + 0.605208i
\(86\) 5.55414 7.13218i 0.598919 0.769082i
\(87\) 5.89030 + 2.39755i 0.631506 + 0.257044i
\(88\) −3.73634 + 0.410620i −0.398295 + 0.0437723i
\(89\) 16.2114i 1.71841i −0.511635 0.859203i \(-0.670960\pi\)
0.511635 0.859203i \(-0.329040\pi\)
\(90\) 11.1310 + 4.54369i 1.17331 + 0.478947i
\(91\) 3.25839 + 3.25839i 0.341572 + 0.341572i
\(92\) −1.95807 7.74898i −0.204143 0.807887i
\(93\) −1.19055 + 1.57146i −0.123455 + 0.162952i
\(94\) 1.60159 + 12.8757i 0.165191 + 1.32802i
\(95\) 8.66225 15.0035i 0.888728 1.53932i
\(96\) 5.14787 8.33663i 0.525402 0.850854i
\(97\) −0.648931 1.12398i −0.0658889 0.114123i 0.831199 0.555975i \(-0.187655\pi\)
−0.897088 + 0.441852i \(0.854322\pi\)
\(98\) −5.92518 + 4.47964i −0.598534 + 0.452512i
\(99\) −1.95085 + 3.47695i −0.196068 + 0.349446i
\(100\) 5.83091 + 1.65206i 0.583091 + 0.165206i
\(101\) 2.60956 9.73900i 0.259661 0.969067i −0.705777 0.708434i \(-0.749402\pi\)
0.965438 0.260633i \(-0.0839313\pi\)
\(102\) 16.1291 + 9.33369i 1.59702 + 0.924173i
\(103\) 8.04850 + 4.64680i 0.793042 + 0.457863i 0.841033 0.540985i \(-0.181948\pi\)
−0.0479901 + 0.998848i \(0.515282\pi\)
\(104\) 7.94866 5.83280i 0.779430 0.571953i
\(105\) 5.12335 3.98154i 0.499988 0.388558i
\(106\) 5.80815 + 14.3105i 0.564138 + 1.38996i
\(107\) 1.89502 + 1.89502i 0.183199 + 0.183199i 0.792748 0.609549i \(-0.208650\pi\)
−0.609549 + 0.792748i \(0.708650\pi\)
\(108\) −4.01667 9.58469i −0.386504 0.922288i
\(109\) −8.63272 + 8.63272i −0.826864 + 0.826864i −0.987082 0.160217i \(-0.948780\pi\)
0.160217 + 0.987082i \(0.448780\pi\)
\(110\) −2.07322 + 4.90573i −0.197674 + 0.467743i
\(111\) −3.39715 4.37137i −0.322443 0.414912i
\(112\) −2.51198 4.65316i −0.237360 0.439682i
\(113\) −1.70180 + 2.94761i −0.160092 + 0.277288i −0.934902 0.354907i \(-0.884512\pi\)
0.774809 + 0.632195i \(0.217846\pi\)
\(114\) −14.4688 + 3.86136i −1.35513 + 0.361650i
\(115\) −10.9386 2.93099i −1.02003 0.273317i
\(116\) −3.58042 6.41138i −0.332433 0.595281i
\(117\) −0.128497 10.4564i −0.0118796 0.966695i
\(118\) −6.97507 0.969047i −0.642108 0.0892080i
\(119\) 8.70982 5.02862i 0.798428 0.460972i
\(120\) −6.75657 12.1274i −0.616788 1.10708i
\(121\) 7.99679 + 4.61695i 0.726981 + 0.419722i
\(122\) 11.4704 + 8.93251i 1.03848 + 0.808711i
\(123\) 2.26866 + 1.71877i 0.204559 + 0.154976i
\(124\) 2.20714 0.557716i 0.198207 0.0500844i
\(125\) −3.94700 + 3.94700i −0.353031 + 0.353031i
\(126\) −5.56438 0.703478i −0.495714 0.0626708i
\(127\) −5.24504 −0.465422 −0.232711 0.972546i \(-0.574760\pi\)
−0.232711 + 0.972546i \(0.574760\pi\)
\(128\) −10.6559 + 3.80147i −0.941860 + 0.336006i
\(129\) −4.17390 + 10.2544i −0.367491 + 0.902852i
\(130\) −1.72433 13.8624i −0.151233 1.21581i
\(131\) 1.68026 + 6.27080i 0.146805 + 0.547883i 0.999668 + 0.0257490i \(0.00819707\pi\)
−0.852864 + 0.522134i \(0.825136\pi\)
\(132\) 4.26740 1.72701i 0.371430 0.150317i
\(133\) −2.09178 + 7.80665i −0.181381 + 0.676922i
\(134\) 2.80603 20.1975i 0.242404 1.74479i
\(135\) −14.6316 1.65256i −1.25929 0.142229i
\(136\) −7.80646 20.0519i −0.669398 1.71944i
\(137\) −6.16622 + 3.56007i −0.526816 + 0.304157i −0.739719 0.672916i \(-0.765042\pi\)
0.212903 + 0.977073i \(0.431708\pi\)
\(138\) 4.88591 + 8.48228i 0.415916 + 0.722059i
\(139\) 4.07133 1.09091i 0.345326 0.0925298i −0.0819876 0.996633i \(-0.526127\pi\)
0.427313 + 0.904104i \(0.359460\pi\)
\(140\) −7.49157 0.107086i −0.633154 0.00905045i
\(141\) −6.17128 14.6437i −0.519716 1.23322i
\(142\) −4.33533 + 10.2584i −0.363813 + 0.860869i
\(143\) 4.63236 0.387378
\(144\) −3.29432 + 11.5390i −0.274527 + 0.961579i
\(145\) −10.4047 −0.864063
\(146\) −0.317772 + 0.751925i −0.0262990 + 0.0622298i
\(147\) 5.49369 7.25133i 0.453112 0.598080i
\(148\) −0.0913688 + 6.39200i −0.00751047 + 0.525419i
\(149\) −8.40971 + 2.25338i −0.688950 + 0.184604i −0.586276 0.810111i \(-0.699407\pi\)
−0.102674 + 0.994715i \(0.532740\pi\)
\(150\) −7.42248 0.00744129i −0.606043 0.000607579i
\(151\) 17.8103 10.2828i 1.44938 0.836803i 0.450940 0.892554i \(-0.351089\pi\)
0.998445 + 0.0557515i \(0.0177554\pi\)
\(152\) 15.8301 + 6.95828i 1.28399 + 0.564391i
\(153\) −22.1164 5.63573i −1.78801 0.455622i
\(154\) 0.341894 2.46091i 0.0275506 0.198306i
\(155\) 0.834834 3.11564i 0.0670555 0.250255i
\(156\) −7.42858 + 9.51947i −0.594762 + 0.762168i
\(157\) −2.38710 8.90879i −0.190512 0.710999i −0.993383 0.114847i \(-0.963362\pi\)
0.802872 0.596152i \(-0.203304\pi\)
\(158\) 0.250290 + 2.01216i 0.0199120 + 0.160079i
\(159\) −11.6069 14.9355i −0.920487 1.18446i
\(160\) −2.65881 + 15.8081i −0.210198 + 1.24974i
\(161\) 5.28298 0.416357
\(162\) 7.92308 + 9.96116i 0.622496 + 0.782623i
\(163\) −10.4053 + 10.4053i −0.815004 + 0.815004i −0.985379 0.170375i \(-0.945502\pi\)
0.170375 + 0.985379i \(0.445502\pi\)
\(164\) −0.805158 3.18638i −0.0628723 0.248815i
\(165\) 0.811644 6.47209i 0.0631864 0.503851i
\(166\) 3.81678 + 2.97229i 0.296239 + 0.230695i
\(167\) −5.95392 3.43750i −0.460728 0.266001i 0.251622 0.967826i \(-0.419036\pi\)
−0.712350 + 0.701824i \(0.752369\pi\)
\(168\) 4.50888 + 4.64897i 0.347868 + 0.358676i
\(169\) 0.735830 0.424832i 0.0566023 0.0326794i
\(170\) −30.1983 4.19544i −2.31610 0.321776i
\(171\) 15.7697 9.36488i 1.20594 0.716150i
\(172\) 11.1616 6.23315i 0.851062 0.475273i
\(173\) −3.07494 0.823927i −0.233783 0.0626420i 0.140025 0.990148i \(-0.455282\pi\)
−0.373808 + 0.927506i \(0.621948\pi\)
\(174\) 6.35317 + 6.36592i 0.481633 + 0.482599i
\(175\) −2.00294 + 3.46919i −0.151408 + 0.262246i
\(176\) −5.09324 1.52203i −0.383918 0.114727i
\(177\) 8.54387 1.17827i 0.642197 0.0885642i
\(178\) 8.92470 21.1180i 0.668934 1.58286i
\(179\) −3.73648 + 3.73648i −0.279278 + 0.279278i −0.832821 0.553543i \(-0.813275\pi\)
0.553543 + 0.832821i \(0.313275\pi\)
\(180\) 11.9985 + 12.0467i 0.894316 + 0.897910i
\(181\) 0.169132 + 0.169132i 0.0125715 + 0.0125715i 0.713365 0.700793i \(-0.247170\pi\)
−0.700793 + 0.713365i \(0.747170\pi\)
\(182\) 2.45077 + 6.03839i 0.181663 + 0.447595i
\(183\) −16.4918 6.71271i −1.21911 0.496218i
\(184\) 1.71527 11.1723i 0.126451 0.823630i
\(185\) 7.84414 + 4.52882i 0.576713 + 0.332965i
\(186\) −2.41600 + 1.39165i −0.177150 + 0.102041i
\(187\) 2.61673 9.76578i 0.191354 0.714145i
\(188\) −5.00198 + 17.6543i −0.364807 + 1.28757i
\(189\) 6.79274 1.02198i 0.494099 0.0743383i
\(190\) 19.5437 14.7757i 1.41785 1.07194i
\(191\) 11.0451 + 19.1306i 0.799194 + 1.38424i 0.920142 + 0.391586i \(0.128073\pi\)
−0.120947 + 0.992659i \(0.538593\pi\)
\(192\) 11.2954 8.02581i 0.815176 0.579213i
\(193\) 7.90683 13.6950i 0.569146 0.985790i −0.427505 0.904013i \(-0.640607\pi\)
0.996651 0.0817767i \(-0.0260594\pi\)
\(194\) −0.226564 1.82142i −0.0162663 0.130770i
\(195\) 6.64423 + 15.7659i 0.475803 + 1.12902i
\(196\) −10.1846 + 2.57353i −0.727474 + 0.183823i
\(197\) 1.19611 + 1.19611i 0.0852196 + 0.0852196i 0.748432 0.663212i \(-0.230807\pi\)
−0.663212 + 0.748432i \(0.730807\pi\)
\(198\) −4.45542 + 3.45531i −0.316633 + 0.245558i
\(199\) 6.39170i 0.453095i 0.974000 + 0.226548i \(0.0727439\pi\)
−0.974000 + 0.226548i \(0.927256\pi\)
\(200\) 6.68621 + 5.36211i 0.472786 + 0.379158i
\(201\) 3.41187 + 24.7402i 0.240655 + 1.74504i
\(202\) 8.76088 11.2500i 0.616414 0.791548i
\(203\) 4.68849 1.25628i 0.329068 0.0881734i
\(204\) 15.8723 + 21.0380i 1.11129 + 1.47296i
\(205\) −4.49796 1.20523i −0.314151 0.0841766i
\(206\) 7.92632 + 10.4841i 0.552253 + 0.730460i
\(207\) −8.58090 8.37256i −0.596414 0.581933i
\(208\) 13.5655 3.22228i 0.940597 0.223425i
\(209\) 4.06233 + 7.03617i 0.280997 + 0.486702i
\(210\) 8.86591 2.36609i 0.611806 0.163276i
\(211\) 0.539586 + 2.01376i 0.0371466 + 0.138633i 0.982009 0.188835i \(-0.0604712\pi\)
−0.944862 + 0.327468i \(0.893805\pi\)
\(212\) −0.312176 + 21.8393i −0.0214404 + 1.49993i
\(213\) 1.69724 13.5339i 0.116293 0.927324i
\(214\) 1.42533 + 3.51182i 0.0974333 + 0.240063i
\(215\) 18.1135i 1.23533i
\(216\) 0.0442025 14.6969i 0.00300760 0.999995i
\(217\) 1.50475i 0.102149i
\(218\) −15.9980 + 6.49303i −1.08352 + 0.439764i
\(219\) 0.124405 0.992008i 0.00840649 0.0670337i
\(220\) −5.40140 + 5.24916i −0.364163 + 0.353898i
\(221\) 6.86349 + 25.6149i 0.461688 + 1.72304i
\(222\) −2.01881 7.56462i −0.135493 0.507704i
\(223\) 13.6496 + 23.6417i 0.914042 + 1.58317i 0.808297 + 0.588775i \(0.200389\pi\)
0.105745 + 0.994393i \(0.466277\pi\)
\(224\) −0.710603 7.44439i −0.0474792 0.497399i
\(225\) 8.75131 2.46055i 0.583421 0.164037i
\(226\) −3.83959 + 2.90286i −0.255406 + 0.193095i
\(227\) 2.80787 + 0.752368i 0.186365 + 0.0499364i 0.350794 0.936452i \(-0.385912\pi\)
−0.164429 + 0.986389i \(0.552578\pi\)
\(228\) −20.9737 2.93531i −1.38902 0.194396i
\(229\) −6.48583 + 1.73787i −0.428596 + 0.114842i −0.466667 0.884433i \(-0.654545\pi\)
0.0380710 + 0.999275i \(0.487879\pi\)
\(230\) −12.6357 9.84002i −0.833177 0.648832i
\(231\) 0.415712 + 3.01441i 0.0273518 + 0.198333i
\(232\) −1.13448 10.3229i −0.0744824 0.677735i
\(233\) 11.8159i 0.774086i −0.922062 0.387043i \(-0.873497\pi\)
0.922062 0.387043i \(-0.126503\pi\)
\(234\) 5.58907 13.6919i 0.365369 0.895068i
\(235\) 18.3839 + 18.3839i 1.19923 + 1.19923i
\(236\) −8.55268 5.10226i −0.556732 0.332129i
\(237\) −0.964426 2.28846i −0.0626462 0.148651i
\(238\) 14.1143 1.75566i 0.914894 0.113803i
\(239\) −1.75364 + 3.03739i −0.113433 + 0.196472i −0.917152 0.398537i \(-0.869518\pi\)
0.803719 + 0.595009i \(0.202852\pi\)
\(240\) −2.12516 19.5175i −0.137178 1.25985i
\(241\) −4.35635 7.54543i −0.280617 0.486044i 0.690920 0.722932i \(-0.257206\pi\)
−0.971537 + 0.236888i \(0.923873\pi\)
\(242\) 7.87539 + 10.4167i 0.506249 + 0.669611i
\(243\) −12.6528 9.10531i −0.811678 0.584106i
\(244\) 10.0245 + 17.9507i 0.641755 + 1.14918i
\(245\) −3.85226 + 14.3768i −0.246112 + 0.918502i
\(246\) 2.00909 + 3.48791i 0.128095 + 0.222381i
\(247\) −18.4553 10.6552i −1.17428 0.677973i
\(248\) 3.18219 + 0.488559i 0.202069 + 0.0310235i
\(249\) −5.48765 2.23366i −0.347766 0.141552i
\(250\) −7.31451 + 2.96871i −0.462610 + 0.187758i
\(251\) −9.70213 9.70213i −0.612393 0.612393i 0.331176 0.943569i \(-0.392555\pi\)
−0.943569 + 0.331176i \(0.892555\pi\)
\(252\) −6.86123 3.97970i −0.432217 0.250697i
\(253\) 3.75533 3.75533i 0.236096 0.236096i
\(254\) −6.83251 2.88750i −0.428710 0.181178i
\(255\) 36.9903 5.10127i 2.31642 0.319454i
\(256\) −15.9739 0.914271i −0.998366 0.0571420i
\(257\) −9.26857 + 16.0536i −0.578158 + 1.00140i 0.417533 + 0.908662i \(0.362895\pi\)
−0.995691 + 0.0927366i \(0.970439\pi\)
\(258\) −11.0824 + 11.0602i −0.689962 + 0.688580i
\(259\) −4.08149 1.09363i −0.253611 0.0679550i
\(260\) 5.38531 19.0073i 0.333983 1.17878i
\(261\) −9.60628 5.38990i −0.594614 0.333626i
\(262\) −1.26339 + 9.09375i −0.0780528 + 0.561814i
\(263\) 3.42692 1.97853i 0.211313 0.122002i −0.390608 0.920557i \(-0.627735\pi\)
0.601922 + 0.798555i \(0.294402\pi\)
\(264\) 6.50974 + 0.0995794i 0.400647 + 0.00612869i
\(265\) 26.8008 + 15.4734i 1.64636 + 0.950525i
\(266\) −7.02260 + 9.01785i −0.430583 + 0.552920i
\(267\) −3.49393 + 27.8608i −0.213825 + 1.70505i
\(268\) 14.7744 24.7657i 0.902491 1.51280i
\(269\) 17.6742 17.6742i 1.07762 1.07762i 0.0808951 0.996723i \(-0.474222\pi\)
0.996723 0.0808951i \(-0.0257779\pi\)
\(270\) −18.1503 10.2077i −1.10459 0.621222i
\(271\) −26.9563 −1.63748 −0.818738 0.574167i \(-0.805326\pi\)
−0.818738 + 0.574167i \(0.805326\pi\)
\(272\) 0.869796 30.4185i 0.0527391 1.84439i
\(273\) −4.89758 6.30209i −0.296415 0.381420i
\(274\) −9.99239 + 1.24294i −0.603662 + 0.0750888i
\(275\) 1.04226 + 3.88979i 0.0628509 + 0.234563i
\(276\) 1.69503 + 13.7393i 0.102029 + 0.827010i
\(277\) 2.47723 9.24514i 0.148842 0.555487i −0.850712 0.525632i \(-0.823829\pi\)
0.999554 0.0298548i \(-0.00950449\pi\)
\(278\) 5.90414 + 0.820261i 0.354107 + 0.0491960i
\(279\) 2.38476 2.44410i 0.142772 0.146324i
\(280\) −9.70003 4.26376i −0.579688 0.254808i
\(281\) 8.51476 4.91600i 0.507948 0.293264i −0.224042 0.974580i \(-0.571925\pi\)
0.731990 + 0.681316i \(0.238592\pi\)
\(282\) 0.0225301 22.4731i 0.00134165 1.33826i
\(283\) −30.0988 + 8.06496i −1.78919 + 0.479412i −0.992208 0.124591i \(-0.960238\pi\)
−0.796982 + 0.604003i \(0.793572\pi\)
\(284\) −11.2949 + 10.9766i −0.670231 + 0.651341i
\(285\) −18.1204 + 23.9179i −1.07336 + 1.41677i
\(286\) 6.03440 + 2.55021i 0.356822 + 0.150797i
\(287\) 2.17236 0.128231
\(288\) −10.6438 + 13.2178i −0.627193 + 0.778864i
\(289\) 40.8774 2.40456
\(290\) −13.5538 5.72799i −0.795906 0.336359i
\(291\) 0.873002 + 2.07152i 0.0511763 + 0.121435i
\(292\) −0.827900 + 0.804565i −0.0484492 + 0.0470836i
\(293\) 30.6204 8.20472i 1.78886 0.479325i 0.796711 0.604360i \(-0.206571\pi\)
0.992152 + 0.125035i \(0.0399044\pi\)
\(294\) 11.1484 6.42165i 0.650189 0.374518i
\(295\) −12.2202 + 7.05535i −0.711489 + 0.410778i
\(296\) −3.63794 + 8.27631i −0.211451 + 0.481051i
\(297\) 4.10207 5.55499i 0.238026 0.322333i
\(298\) −12.1955 1.69433i −0.706468 0.0981496i
\(299\) −3.60533 + 13.4553i −0.208502 + 0.778139i
\(300\) −9.66488 4.09591i −0.558002 0.236478i
\(301\) 2.18706 + 8.16220i 0.126060 + 0.470462i
\(302\) 28.8617 3.59007i 1.66081 0.206586i
\(303\) −6.58374 + 16.1749i −0.378226 + 0.929225i
\(304\) 16.7906 + 17.7791i 0.963005 + 1.01970i
\(305\) 29.1313 1.66805
\(306\) −25.7076 19.5170i −1.46961 1.11571i
\(307\) 17.2513 17.2513i 0.984581 0.984581i −0.0153018 0.999883i \(-0.504871\pi\)
0.999883 + 0.0153018i \(0.00487090\pi\)
\(308\) 1.80015 3.01752i 0.102573 0.171939i
\(309\) −12.8306 9.72059i −0.729906 0.552985i
\(310\) 2.80273 3.59904i 0.159184 0.204412i
\(311\) −8.53625 4.92841i −0.484046 0.279464i 0.238055 0.971252i \(-0.423490\pi\)
−0.722101 + 0.691787i \(0.756824\pi\)
\(312\) −14.9176 + 8.31107i −0.844542 + 0.470522i
\(313\) −8.45774 + 4.88308i −0.478060 + 0.276008i −0.719608 0.694381i \(-0.755678\pi\)
0.241548 + 0.970389i \(0.422345\pi\)
\(314\) 1.79488 12.9193i 0.101291 0.729078i
\(315\) −9.66305 + 5.73843i −0.544451 + 0.323324i
\(316\) −0.781692 + 2.75896i −0.0439736 + 0.155204i
\(317\) −12.8098 3.43237i −0.719469 0.192781i −0.119534 0.992830i \(-0.538140\pi\)
−0.599935 + 0.800049i \(0.704807\pi\)
\(318\) −6.89758 25.8457i −0.386797 1.44936i
\(319\) 2.43974 4.22576i 0.136599 0.236597i
\(320\) −12.1662 + 19.1289i −0.680113 + 1.06934i
\(321\) −2.84834 3.66519i −0.158979 0.204571i
\(322\) 6.88194 + 2.90838i 0.383515 + 0.162078i
\(323\) −32.8879 + 32.8879i −1.82993 + 1.82993i
\(324\) 4.83728 + 17.3378i 0.268738 + 0.963213i
\(325\) −7.46883 7.46883i −0.414296 0.414296i
\(326\) −19.2829 + 7.82624i −1.06798 + 0.433456i
\(327\) 16.6966 12.9756i 0.923327 0.717550i
\(328\) 0.705318 4.59404i 0.0389447 0.253663i
\(329\) −10.5037 6.06432i −0.579089 0.334337i
\(330\) 4.62031 7.98411i 0.254340 0.439511i
\(331\) 0.274151 1.02314i 0.0150687 0.0562371i −0.957982 0.286828i \(-0.907399\pi\)
0.973051 + 0.230591i \(0.0740659\pi\)
\(332\) 3.33566 + 5.97311i 0.183068 + 0.327817i
\(333\) 4.89617 + 8.24476i 0.268308 + 0.451810i
\(334\) −5.86353 7.75565i −0.320838 0.424370i
\(335\) −20.4299 35.3857i −1.11621 1.93332i
\(336\) 3.31420 + 8.53826i 0.180804 + 0.465801i
\(337\) −2.50387 + 4.33683i −0.136395 + 0.236242i −0.926129 0.377206i \(-0.876885\pi\)
0.789735 + 0.613448i \(0.210218\pi\)
\(338\) 1.19242 0.148323i 0.0648589 0.00806771i
\(339\) 3.55998 4.69895i 0.193351 0.255212i
\(340\) −37.0284 22.0900i −2.00815 1.19800i
\(341\) 1.06963 + 1.06963i 0.0579238 + 0.0579238i
\(342\) 25.6982 3.51774i 1.38960 0.190217i
\(343\) 16.1974i 0.874575i
\(344\) 17.9712 1.97502i 0.968944 0.106486i
\(345\) 18.1673 + 7.39470i 0.978094 + 0.398117i
\(346\) −3.55201 2.76611i −0.190958 0.148707i
\(347\) 5.88711 1.57745i 0.316036 0.0846817i −0.0973140 0.995254i \(-0.531025\pi\)
0.413350 + 0.910572i \(0.364358\pi\)
\(348\) 4.77147 + 11.7902i 0.255777 + 0.632020i
\(349\) −5.42227 1.45289i −0.290247 0.0777715i 0.110758 0.993847i \(-0.464672\pi\)
−0.401005 + 0.916076i \(0.631339\pi\)
\(350\) −4.51901 + 3.41652i −0.241551 + 0.182621i
\(351\) −2.03276 + 17.9980i −0.108501 + 0.960661i
\(352\) −5.79687 4.78662i −0.308974 0.255128i
\(353\) −5.06146 8.76671i −0.269395 0.466605i 0.699311 0.714817i \(-0.253490\pi\)
−0.968706 + 0.248212i \(0.920157\pi\)
\(354\) 11.7784 + 3.16868i 0.626017 + 0.168414i
\(355\) 5.77576 + 21.5554i 0.306546 + 1.14404i
\(356\) 23.2517 22.5964i 1.23234 1.19761i
\(357\) −16.0524 + 6.76496i −0.849582 + 0.358040i
\(358\) −6.92438 + 2.81037i −0.365965 + 0.148532i
\(359\) 5.28081i 0.278710i −0.990242 0.139355i \(-0.955497\pi\)
0.990242 0.139355i \(-0.0445030\pi\)
\(360\) 8.99804 + 22.2982i 0.474238 + 1.17522i
\(361\) 18.3761i 0.967163i
\(362\) 0.127212 + 0.313433i 0.00668610 + 0.0164737i
\(363\) −12.7481 9.65813i −0.669104 0.506920i
\(364\) −0.131724 + 9.21518i −0.00690421 + 0.483006i
\(365\) 0.423353 + 1.57998i 0.0221593 + 0.0826997i
\(366\) −17.7877 17.8234i −0.929780 0.931647i
\(367\) 5.01941 + 8.69388i 0.262011 + 0.453817i 0.966776 0.255624i \(-0.0822810\pi\)
−0.704765 + 0.709441i \(0.748948\pi\)
\(368\) 8.38496 13.6094i 0.437096 0.709438i
\(369\) −3.52847 3.44280i −0.183685 0.179225i
\(370\) 7.72506 + 10.2179i 0.401607 + 0.531202i
\(371\) −13.9451 3.73657i −0.723992 0.193993i
\(372\) −3.91337 + 0.482795i −0.202899 + 0.0250318i
\(373\) 25.1865 6.74869i 1.30411 0.349434i 0.461105 0.887346i \(-0.347453\pi\)
0.843001 + 0.537912i \(0.180787\pi\)
\(374\) 8.78497 11.2809i 0.454260 0.583324i
\(375\) 7.63395 5.93261i 0.394215 0.306359i
\(376\) −16.2349 + 20.2439i −0.837253 + 1.04400i
\(377\) 12.7985i 0.659157i
\(378\) 9.41127 + 2.40824i 0.484063 + 0.123867i
\(379\) −11.3259 11.3259i −0.581771 0.581771i 0.353619 0.935390i \(-0.384951\pi\)
−0.935390 + 0.353619i \(0.884951\pi\)
\(380\) 33.5931 8.48855i 1.72329 0.435453i
\(381\) 9.01407 + 1.13043i 0.461805 + 0.0579135i
\(382\) 3.85621 + 31.0013i 0.197301 + 1.58616i
\(383\) 2.50076 4.33145i 0.127783 0.221327i −0.795034 0.606564i \(-0.792547\pi\)
0.922817 + 0.385238i \(0.125881\pi\)
\(384\) 19.1325 4.23657i 0.976350 0.216196i
\(385\) −2.48924 4.31148i −0.126863 0.219733i
\(386\) 17.8393 13.4871i 0.907997 0.686477i
\(387\) 9.38328 16.7236i 0.476979 0.850107i
\(388\) 0.707590 2.49742i 0.0359224 0.126787i
\(389\) −3.45749 + 12.9035i −0.175302 + 0.654235i 0.821198 + 0.570643i \(0.193306\pi\)
−0.996500 + 0.0835921i \(0.973361\pi\)
\(390\) −0.0242567 + 24.1954i −0.00122829 + 1.22518i
\(391\) 26.3294 + 15.2013i 1.33153 + 0.768761i
\(392\) −14.6839 2.25441i −0.741650 0.113865i
\(393\) −1.53617 11.1391i −0.0774895 0.561892i
\(394\) 0.899647 + 2.21662i 0.0453236 + 0.111671i
\(395\) 2.87297 + 2.87297i 0.144555 + 0.144555i
\(396\) −7.70612 + 2.04830i −0.387247 + 0.102931i
\(397\) −18.7165 + 18.7165i −0.939356 + 0.939356i −0.998263 0.0589078i \(-0.981238\pi\)
0.0589078 + 0.998263i \(0.481238\pi\)
\(398\) −3.51876 + 8.32622i −0.176379 + 0.417356i
\(399\) 5.27743 12.9656i 0.264202 0.649092i
\(400\) 5.75792 + 10.6659i 0.287896 + 0.533295i
\(401\) 6.66124 11.5376i 0.332647 0.576161i −0.650383 0.759606i \(-0.725392\pi\)
0.983030 + 0.183445i \(0.0587250\pi\)
\(402\) −9.17543 + 34.1064i −0.457629 + 1.70107i
\(403\) −3.83247 1.02691i −0.190909 0.0511538i
\(404\) 17.6058 9.83193i 0.875923 0.489157i
\(405\) 24.7896 + 5.99352i 1.23181 + 0.297820i
\(406\) 6.79913 + 0.944602i 0.337435 + 0.0468798i
\(407\) −3.67866 + 2.12388i −0.182345 + 0.105277i
\(408\) 9.09445 + 36.1435i 0.450242 + 1.78937i
\(409\) −10.6037 6.12206i −0.524320 0.302717i 0.214380 0.976750i \(-0.431227\pi\)
−0.738701 + 0.674034i \(0.764560\pi\)
\(410\) −5.19582 4.04622i −0.256604 0.199829i
\(411\) 11.3645 4.78934i 0.560568 0.236241i
\(412\) 4.55362 + 18.0208i 0.224341 + 0.887821i
\(413\) 4.65472 4.65472i 0.229044 0.229044i
\(414\) −6.56875 15.6306i −0.322837 0.768201i
\(415\) 9.69344 0.475832
\(416\) 19.4452 + 3.27053i 0.953378 + 0.160351i
\(417\) −7.23206 + 0.997361i −0.354156 + 0.0488410i
\(418\) 1.41830 + 11.4021i 0.0693712 + 0.557697i
\(419\) −8.58573 32.0424i −0.419440 1.56537i −0.775772 0.631013i \(-0.782639\pi\)
0.356332 0.934360i \(-0.384027\pi\)
\(420\) 12.8519 + 1.79864i 0.627107 + 0.0877648i
\(421\) 6.61930 24.7035i 0.322605 1.20398i −0.594093 0.804396i \(-0.702489\pi\)
0.916698 0.399581i \(-0.130844\pi\)
\(422\) −0.405718 + 2.92030i −0.0197500 + 0.142158i
\(423\) 7.44985 + 26.4965i 0.362224 + 1.28830i
\(424\) −12.4296 + 28.2774i −0.603636 + 1.37327i
\(425\) −19.9645 + 11.5265i −0.968421 + 0.559118i
\(426\) 9.66158 16.6957i 0.468105 0.808908i
\(427\) −13.1269 + 3.51736i −0.635258 + 0.170217i
\(428\) −0.0766084 + 5.35938i −0.00370300 + 0.259056i
\(429\) −7.96113 0.998381i −0.384367 0.0482023i
\(430\) 9.97186 23.5958i 0.480886 1.13789i
\(431\) −10.3041 −0.496332 −0.248166 0.968717i \(-0.579828\pi\)
−0.248166 + 0.968717i \(0.579828\pi\)
\(432\) 8.14850 19.1207i 0.392045 0.919946i
\(433\) −11.7692 −0.565591 −0.282795 0.959180i \(-0.591262\pi\)
−0.282795 + 0.959180i \(0.591262\pi\)
\(434\) −0.828394 + 1.96018i −0.0397642 + 0.0940916i
\(435\) 17.8814 + 2.24245i 0.857347 + 0.107517i
\(436\) −24.4145 0.348987i −1.16924 0.0167135i
\(437\) −23.5991 + 6.32337i −1.12890 + 0.302488i
\(438\) 0.708177 1.22376i 0.0338380 0.0584737i
\(439\) −23.9893 + 13.8502i −1.14494 + 0.661034i −0.947650 0.319310i \(-0.896549\pi\)
−0.197294 + 0.980344i \(0.563215\pi\)
\(440\) −9.92597 + 3.86430i −0.473202 + 0.184223i
\(441\) −11.0042 + 11.2780i −0.524011 + 0.537050i
\(442\) −5.16070 + 37.1460i −0.245469 + 1.76686i
\(443\) 6.50677 24.2836i 0.309146 1.15375i −0.620172 0.784466i \(-0.712937\pi\)
0.929317 0.369282i \(-0.120396\pi\)
\(444\) 1.53465 10.9655i 0.0728312 0.520401i
\(445\) −11.8900 44.3739i −0.563638 2.10353i
\(446\) 4.76552 + 38.3115i 0.225654 + 1.81410i
\(447\) 14.9385 2.06014i 0.706567 0.0974413i
\(448\) 3.17261 10.0887i 0.149892 0.476648i
\(449\) −20.0988 −0.948522 −0.474261 0.880384i \(-0.657285\pi\)
−0.474261 + 0.880384i \(0.657285\pi\)
\(450\) 12.7546 + 1.61250i 0.601257 + 0.0760141i
\(451\) 1.54419 1.54419i 0.0727133 0.0727133i
\(452\) −6.59977 + 1.66768i −0.310427 + 0.0784409i
\(453\) −32.8248 + 13.8334i −1.54225 + 0.649949i
\(454\) 3.24352 + 2.52587i 0.152226 + 0.118545i
\(455\) 11.3087 + 6.52907i 0.530159 + 0.306088i
\(456\) −25.7057 15.3702i −1.20378 0.719774i
\(457\) −20.8270 + 12.0245i −0.974244 + 0.562480i −0.900527 0.434799i \(-0.856819\pi\)
−0.0737167 + 0.997279i \(0.523486\pi\)
\(458\) −9.40558 1.30672i −0.439494 0.0610589i
\(459\) 36.7944 + 14.4521i 1.71742 + 0.674566i
\(460\) −11.0430 19.7744i −0.514882 0.921988i
\(461\) −3.90967 1.04759i −0.182092 0.0487913i 0.166621 0.986021i \(-0.446714\pi\)
−0.348713 + 0.937230i \(0.613381\pi\)
\(462\) −1.11796 + 4.15561i −0.0520122 + 0.193336i
\(463\) 5.16489 8.94585i 0.240033 0.415749i −0.720691 0.693257i \(-0.756175\pi\)
0.960723 + 0.277508i \(0.0895085\pi\)
\(464\) 4.20514 14.0719i 0.195219 0.653270i
\(465\) −2.10623 + 5.17459i −0.0976741 + 0.239966i
\(466\) 6.50489 15.3921i 0.301333 0.713027i
\(467\) 11.8966 11.8966i 0.550509 0.550509i −0.376079 0.926588i \(-0.622728\pi\)
0.926588 + 0.376079i \(0.122728\pi\)
\(468\) 14.8183 14.7590i 0.684978 0.682236i
\(469\) 13.4785 + 13.4785i 0.622380 + 0.622380i
\(470\) 13.8273 + 34.0687i 0.637805 + 1.57147i
\(471\) 2.18240 + 15.8250i 0.100560 + 0.729179i
\(472\) −8.33236 11.3549i −0.383528 0.522653i
\(473\) 7.35663 + 4.24735i 0.338258 + 0.195293i
\(474\) 0.00352093 3.51203i 0.000161722 0.161313i
\(475\) 4.79476 17.8943i 0.219999 0.821046i
\(476\) 19.3527 + 5.48317i 0.887029 + 0.251321i
\(477\) 16.7286 + 28.1695i 0.765948 + 1.28980i
\(478\) −3.95654 + 2.99128i −0.180968 + 0.136818i
\(479\) −7.47878 12.9536i −0.341714 0.591866i 0.643037 0.765835i \(-0.277674\pi\)
−0.984751 + 0.173969i \(0.944341\pi\)
\(480\) 7.97642 26.5947i 0.364072 1.21388i
\(481\) 5.57077 9.64886i 0.254005 0.439950i
\(482\) −1.52095 12.2274i −0.0692774 0.556943i
\(483\) −9.07927 1.13860i −0.413121 0.0518082i
\(484\) 4.52436 + 17.9050i 0.205653 + 0.813864i
\(485\) −2.60062 2.60062i −0.118088 0.118088i
\(486\) −11.4697 18.8268i −0.520275 0.853999i
\(487\) 27.0362i 1.22513i −0.790420 0.612565i \(-0.790138\pi\)
0.790420 0.612565i \(-0.209862\pi\)
\(488\) 3.17635 + 28.9024i 0.143787 + 1.30835i
\(489\) 20.1250 15.6398i 0.910082 0.707257i
\(490\) −12.9329 + 16.6074i −0.584250 + 0.750246i
\(491\) 5.41853 1.45189i 0.244535 0.0655229i −0.134470 0.990918i \(-0.542933\pi\)
0.379005 + 0.925395i \(0.376266\pi\)
\(492\) 0.696998 + 5.64962i 0.0314231 + 0.254704i
\(493\) 26.9814 + 7.22964i 1.21518 + 0.325607i
\(494\) −18.1752 24.0401i −0.817739 1.08162i
\(495\) −2.78977 + 10.9479i −0.125391 + 0.492073i
\(496\) 3.87636 + 2.38829i 0.174054 + 0.107237i
\(497\) −5.20527 9.01579i −0.233488 0.404413i
\(498\) −5.91888 5.93076i −0.265231 0.265764i
\(499\) 5.68146 + 21.2035i 0.254337 + 0.949198i 0.968458 + 0.249176i \(0.0801598\pi\)
−0.714121 + 0.700022i \(0.753174\pi\)
\(500\) −11.1627 0.159562i −0.499210 0.00713583i
\(501\) 9.49148 + 7.19085i 0.424048 + 0.321264i
\(502\) −7.29738 17.9798i −0.325698 0.802478i
\(503\) 23.1955i 1.03423i 0.855915 + 0.517117i \(0.172995\pi\)
−0.855915 + 0.517117i \(0.827005\pi\)
\(504\) −6.74696 8.96144i −0.300533 0.399174i
\(505\) 28.5716i 1.27142i
\(506\) 6.95932 2.82454i 0.309379 0.125566i
\(507\) −1.35615 + 0.571523i −0.0602288 + 0.0253822i
\(508\) −7.31083 7.52286i −0.324366 0.333773i
\(509\) −3.37049 12.5788i −0.149394 0.557547i −0.999520 0.0309681i \(-0.990141\pi\)
0.850126 0.526579i \(-0.176526\pi\)
\(510\) 50.9942 + 13.7187i 2.25806 + 0.607473i
\(511\) −0.381537 0.660842i −0.0168782 0.0292339i
\(512\) −20.3052 9.98491i −0.897372 0.441275i
\(513\) −29.1200 + 12.6957i −1.28568 + 0.560527i
\(514\) −20.9117 + 15.8099i −0.922374 + 0.697346i
\(515\) 25.4385 + 6.81623i 1.12095 + 0.300359i
\(516\) −20.5256 + 8.30665i −0.903587 + 0.365680i
\(517\) −11.7772 + 3.15568i −0.517959 + 0.138787i
\(518\) −4.71473 3.67157i −0.207154 0.161320i
\(519\) 5.10698 + 2.07871i 0.224171 + 0.0912453i
\(520\) 17.4791 21.7954i 0.766511 0.955790i
\(521\) 21.4547i 0.939949i 0.882680 + 0.469974i \(0.155737\pi\)
−0.882680 + 0.469974i \(0.844263\pi\)
\(522\) −9.54649 12.3097i −0.417838 0.538779i
\(523\) 2.07495 + 2.07495i 0.0907314 + 0.0907314i 0.751016 0.660284i \(-0.229564\pi\)
−0.660284 + 0.751016i \(0.729564\pi\)
\(524\) −6.65206 + 11.1506i −0.290597 + 0.487114i
\(525\) 4.18992 5.53043i 0.182863 0.241368i
\(526\) 5.55334 0.690773i 0.242137 0.0301191i
\(527\) −4.32977 + 7.49939i −0.188608 + 0.326678i
\(528\) 8.42516 + 3.71346i 0.366658 + 0.161607i
\(529\) −3.51490 6.08799i −0.152822 0.264695i
\(530\) 26.3939 + 34.9110i 1.14648 + 1.51644i
\(531\) −14.9374 + 0.183562i −0.648226 + 0.00796593i
\(532\) −14.1126 + 7.88113i −0.611858 + 0.341690i
\(533\) −1.48251 + 5.53282i −0.0642148 + 0.239653i
\(534\) −19.8893 + 34.3697i −0.860694 + 1.48732i
\(535\) 6.57693 + 3.79719i 0.284346 + 0.164167i
\(536\) 32.8801 24.1277i 1.42020 1.04216i
\(537\) 7.22677 5.61618i 0.311858 0.242356i
\(538\) 32.7536 13.2935i 1.41211 0.573125i
\(539\) −4.93571 4.93571i −0.212596 0.212596i
\(540\) −18.0242 23.2893i −0.775637 1.00221i
\(541\) 22.7947 22.7947i 0.980022 0.980022i −0.0197819 0.999804i \(-0.506297\pi\)
0.999804 + 0.0197819i \(0.00629719\pi\)
\(542\) −35.1149 14.8399i −1.50831 0.637430i
\(543\) −0.254217 0.327121i −0.0109095 0.0140381i
\(544\) 17.8790 39.1461i 0.766556 1.67838i
\(545\) −17.2980 + 29.9610i −0.740965 + 1.28339i
\(546\) −2.91046 10.9057i −0.124556 0.466721i
\(547\) 13.3804 + 3.58528i 0.572106 + 0.153295i 0.533262 0.845950i \(-0.320966\pi\)
0.0388438 + 0.999245i \(0.487633\pi\)
\(548\) −13.7010 3.88188i −0.585276 0.165826i
\(549\) 26.8959 + 15.0908i 1.14789 + 0.644058i
\(550\) −0.783685 + 5.64086i −0.0334164 + 0.240527i
\(551\) −19.4399 + 11.2236i −0.828166 + 0.478142i
\(552\) −5.35572 + 18.8308i −0.227955 + 0.801494i
\(553\) −1.64148 0.947711i −0.0698030 0.0403008i
\(554\) 8.31663 10.6795i 0.353340 0.453730i
\(555\) −12.5048 9.47377i −0.530799 0.402139i
\(556\) 7.23952 + 4.31887i 0.307024 + 0.183161i
\(557\) −8.62660 + 8.62660i −0.365521 + 0.365521i −0.865841 0.500320i \(-0.833216\pi\)
0.500320 + 0.865841i \(0.333216\pi\)
\(558\) 4.45205 1.87098i 0.188470 0.0792047i
\(559\) −22.2810 −0.942384
\(560\) −10.2886 10.8943i −0.434772 0.460368i
\(561\) −6.60184 + 16.2194i −0.278730 + 0.684784i
\(562\) 13.7982 1.71634i 0.582042 0.0723995i
\(563\) −5.46409 20.3923i −0.230284 0.859432i −0.980218 0.197920i \(-0.936582\pi\)
0.749934 0.661513i \(-0.230085\pi\)
\(564\) 12.4013 29.2625i 0.522187 1.23217i
\(565\) −2.49631 + 9.31636i −0.105021 + 0.391942i
\(566\) −43.6485 6.06409i −1.83468 0.254893i
\(567\) −11.8942 + 0.292376i −0.499509 + 0.0122786i
\(568\) −20.7563 + 8.08069i −0.870916 + 0.339058i
\(569\) 21.4776 12.4001i 0.900389 0.519840i 0.0230625 0.999734i \(-0.492658\pi\)
0.877326 + 0.479894i \(0.159325\pi\)
\(570\) −36.7721 + 21.1812i −1.54021 + 0.887184i
\(571\) 17.7063 4.74438i 0.740985 0.198546i 0.131469 0.991320i \(-0.458031\pi\)
0.609516 + 0.792774i \(0.291364\pi\)
\(572\) 6.45685 + 6.64412i 0.269974 + 0.277804i
\(573\) −14.8589 35.2582i −0.620738 1.47293i
\(574\) 2.82985 + 1.19593i 0.118116 + 0.0499171i
\(575\) −12.1096 −0.505004
\(576\) −21.1419 + 11.3586i −0.880914 + 0.473277i
\(577\) −23.4462 −0.976078 −0.488039 0.872822i \(-0.662288\pi\)
−0.488039 + 0.872822i \(0.662288\pi\)
\(578\) 53.2495 + 22.5038i 2.21489 + 0.936036i
\(579\) −16.5402 + 21.8320i −0.687387 + 0.907308i
\(580\) −14.5026 14.9233i −0.602189 0.619655i
\(581\) −4.36800 + 1.17040i −0.181215 + 0.0485564i
\(582\) −0.00318715 + 3.17910i −0.000132112 + 0.131778i
\(583\) −12.5688 + 7.25657i −0.520545 + 0.300537i
\(584\) −1.52140 + 0.592301i −0.0629561 + 0.0245096i
\(585\) −8.02079 28.5271i −0.331619 1.17945i
\(586\) 44.4049 + 6.16917i 1.83435 + 0.254846i
\(587\) 4.33159 16.1657i 0.178784 0.667230i −0.817092 0.576507i \(-0.804415\pi\)
0.995876 0.0907235i \(-0.0289180\pi\)
\(588\) 18.0579 2.22781i 0.744694 0.0918735i
\(589\) −1.80108 6.72173i −0.0742123 0.276964i
\(590\) −19.8029 + 2.46326i −0.815274 + 0.101411i
\(591\) −1.79784 2.31342i −0.0739532 0.0951613i
\(592\) −9.29528 + 8.77848i −0.382034 + 0.360793i
\(593\) 6.18675 0.254059 0.127030 0.991899i \(-0.459456\pi\)
0.127030 + 0.991899i \(0.459456\pi\)
\(594\) 8.40174 4.97801i 0.344728 0.204250i
\(595\) 20.1524 20.1524i 0.826168 0.826168i
\(596\) −14.9539 8.92102i −0.612536 0.365419i
\(597\) 1.37756 10.9847i 0.0563797 0.449574i
\(598\) −12.1039 + 15.5429i −0.494967 + 0.635596i
\(599\) 7.98730 + 4.61147i 0.326352 + 0.188420i 0.654220 0.756304i \(-0.272997\pi\)
−0.327868 + 0.944723i \(0.606330\pi\)
\(600\) −10.3352 10.6563i −0.421932 0.435041i
\(601\) −15.0097 + 8.66586i −0.612259 + 0.353488i −0.773849 0.633370i \(-0.781671\pi\)
0.161590 + 0.986858i \(0.448338\pi\)
\(602\) −1.64446 + 11.8366i −0.0670232 + 0.482424i
\(603\) −0.531535 43.2535i −0.0216458 1.76142i
\(604\) 39.5735 + 11.2123i 1.61022 + 0.456222i
\(605\) 25.2751 + 6.77243i 1.02758 + 0.275339i
\(606\) −17.4810 + 17.4460i −0.710117 + 0.708695i
\(607\) 11.8418 20.5106i 0.480643 0.832498i −0.519110 0.854707i \(-0.673737\pi\)
0.999753 + 0.0222090i \(0.00706992\pi\)
\(608\) 12.0847 + 32.4036i 0.490099 + 1.31414i
\(609\) −8.32835 + 1.14855i −0.337482 + 0.0465415i
\(610\) 37.9482 + 16.0374i 1.53648 + 0.649333i
\(611\) 22.6135 22.6135i 0.914844 0.914844i
\(612\) −22.7439 39.5766i −0.919366 1.59979i
\(613\) 15.4110 + 15.4110i 0.622445 + 0.622445i 0.946156 0.323711i \(-0.104930\pi\)
−0.323711 + 0.946156i \(0.604930\pi\)
\(614\) 31.9697 12.9754i 1.29019 0.523644i
\(615\) 7.47040 + 3.04070i 0.301236 + 0.122613i
\(616\) 4.00619 2.93978i 0.161414 0.118447i
\(617\) −11.9979 6.92700i −0.483018 0.278870i 0.238655 0.971104i \(-0.423293\pi\)
−0.721673 + 0.692234i \(0.756627\pi\)
\(618\) −11.3625 19.7261i −0.457068 0.793501i
\(619\) −10.3518 + 38.6333i −0.416072 + 1.55280i 0.366606 + 0.930376i \(0.380520\pi\)
−0.782678 + 0.622427i \(0.786147\pi\)
\(620\) 5.63235 3.14537i 0.226201 0.126321i
\(621\) 12.9426 + 16.2384i 0.519367 + 0.651624i
\(622\) −8.40666 11.1194i −0.337076 0.445848i
\(623\) 10.7156 + 18.5599i 0.429310 + 0.743586i
\(624\) −24.0080 + 2.61410i −0.961088 + 0.104648i
\(625\) −15.4844 + 26.8198i −0.619377 + 1.07279i
\(626\) −13.7058 + 1.70485i −0.547794 + 0.0681394i
\(627\) −5.46503 12.9678i −0.218252 0.517884i
\(628\) 9.45044 15.8414i 0.377114 0.632139i
\(629\) −17.1945 17.1945i −0.685591 0.685591i
\(630\) −15.7468 + 2.15553i −0.627368 + 0.0858783i
\(631\) 16.7956i 0.668624i 0.942462 + 0.334312i \(0.108504\pi\)
−0.942462 + 0.334312i \(0.891496\pi\)
\(632\) −2.53714 + 3.16365i −0.100922 + 0.125843i
\(633\) −0.493315 3.57712i −0.0196075 0.142178i
\(634\) −14.7972 11.5233i −0.587673 0.457647i
\(635\) −14.3567 + 3.84688i −0.569730 + 0.152659i
\(636\) 5.24337 37.4655i 0.207913 1.48560i
\(637\) 17.6845 + 4.73856i 0.700687 + 0.187749i
\(638\) 5.50452 4.16161i 0.217926 0.164760i
\(639\) −5.83371 + 22.8933i −0.230778 + 0.905647i
\(640\) −26.3793 + 18.2208i −1.04274 + 0.720240i
\(641\) 20.0246 + 34.6837i 0.790925 + 1.36992i 0.925395 + 0.379005i \(0.123734\pi\)
−0.134470 + 0.990918i \(0.542933\pi\)
\(642\) −1.69267 6.34257i −0.0668044 0.250321i
\(643\) −0.289008 1.07859i −0.0113974 0.0425356i 0.959993 0.280024i \(-0.0903425\pi\)
−0.971390 + 0.237489i \(0.923676\pi\)
\(644\) 7.36371 + 7.57728i 0.290171 + 0.298587i
\(645\) −3.90388 + 31.1297i −0.153715 + 1.22573i
\(646\) −60.9473 + 24.7364i −2.39794 + 0.973241i
\(647\) 31.9272i 1.25519i 0.778541 + 0.627594i \(0.215960\pi\)
−0.778541 + 0.627594i \(0.784040\pi\)
\(648\) −3.24348 + 25.2484i −0.127416 + 0.991849i
\(649\) 6.61750i 0.259759i
\(650\) −5.61762 13.8411i −0.220341 0.542893i
\(651\) 0.324308 2.58605i 0.0127106 0.101355i
\(652\) −29.4275 0.420645i −1.15247 0.0164737i
\(653\) −3.36682 12.5651i −0.131754 0.491712i 0.868236 0.496151i \(-0.165254\pi\)
−0.999990 + 0.00443888i \(0.998587\pi\)
\(654\) 28.8934 7.71092i 1.12982 0.301521i
\(655\) 9.19841 + 15.9321i 0.359412 + 0.622519i
\(656\) 3.44790 5.59619i 0.134618 0.218494i
\(657\) −0.427601 + 1.67804i −0.0166823 + 0.0654667i
\(658\) −10.3443 13.6823i −0.403261 0.533390i
\(659\) 15.4883 + 4.15007i 0.603337 + 0.161664i 0.547541 0.836779i \(-0.315564\pi\)
0.0557954 + 0.998442i \(0.482231\pi\)
\(660\) 10.4141 7.85703i 0.405369 0.305834i
\(661\) 21.9923 5.89283i 0.855403 0.229204i 0.195637 0.980676i \(-0.437322\pi\)
0.659765 + 0.751472i \(0.270656\pi\)
\(662\) 0.920387 1.18189i 0.0357719 0.0459353i
\(663\) −6.27493 45.5007i −0.243698 1.76710i
\(664\) 1.05693 + 9.61729i 0.0410169 + 0.373223i
\(665\) 22.9026i 0.888124i
\(666\) 1.83915 + 13.4356i 0.0712657 + 0.520618i
\(667\) 10.3754 + 10.3754i 0.401738 + 0.401738i
\(668\) −3.36857 13.3310i −0.130334 0.515791i
\(669\) −18.3627 43.5722i −0.709941 1.68460i
\(670\) −7.13277 57.3426i −0.275563 2.21534i
\(671\) −6.83085 + 11.8314i −0.263702 + 0.456745i
\(672\) −0.383202 + 12.9470i −0.0147823 + 0.499442i
\(673\) 16.3212 + 28.2692i 0.629136 + 1.08970i 0.987725 + 0.156201i \(0.0499246\pi\)
−0.358589 + 0.933496i \(0.616742\pi\)
\(674\) −5.64921 + 4.27100i −0.217599 + 0.164513i
\(675\) −15.5702 + 2.34257i −0.599298 + 0.0901656i
\(676\) 1.63497 + 0.463234i 0.0628835 + 0.0178167i
\(677\) 3.84993 14.3681i 0.147965 0.552212i −0.851641 0.524126i \(-0.824392\pi\)
0.999606 0.0280861i \(-0.00894127\pi\)
\(678\) 7.22431 4.16131i 0.277448 0.159814i
\(679\) 1.48588 + 0.857871i 0.0570227 + 0.0329221i
\(680\) −36.0746 49.1607i −1.38340 1.88523i
\(681\) −4.66343 1.89817i −0.178703 0.0727381i
\(682\) 0.804514 + 1.98222i 0.0308065 + 0.0759031i
\(683\) 21.4912 + 21.4912i 0.822338 + 0.822338i 0.986443 0.164105i \(-0.0524736\pi\)
−0.164105 + 0.986443i \(0.552474\pi\)
\(684\) 35.4126 + 9.56492i 1.35403 + 0.365724i
\(685\) −14.2671 + 14.2671i −0.545120 + 0.545120i
\(686\) 8.91697 21.0997i 0.340451 0.805590i
\(687\) 11.5210 1.58885i 0.439555 0.0606183i
\(688\) 24.4977 + 7.32073i 0.933967 + 0.279100i
\(689\) 19.0334 32.9669i 0.725116 1.25594i
\(690\) 19.5949 + 19.6342i 0.745966 + 0.747463i
\(691\) −8.83775 2.36807i −0.336204 0.0900855i 0.0867676 0.996229i \(-0.472346\pi\)
−0.422971 + 0.906143i \(0.639013\pi\)
\(692\) −3.10428 5.55876i −0.118007 0.211312i
\(693\) −0.0647636 5.27012i −0.00246017 0.200195i
\(694\) 8.53733 + 1.18609i 0.324072 + 0.0450234i
\(695\) 10.3440 5.97209i 0.392369 0.226534i
\(696\) −0.275123 + 17.9854i −0.0104285 + 0.681735i
\(697\) 10.8266 + 6.25077i 0.410088 + 0.236765i
\(698\) −6.26354 4.87769i −0.237078 0.184623i
\(699\) −2.54660 + 20.3067i −0.0963212 + 0.768070i
\(700\) −7.76760 + 1.96277i −0.293588 + 0.0741858i
\(701\) −4.05144 + 4.05144i −0.153021 + 0.153021i −0.779466 0.626445i \(-0.784509\pi\)
0.626445 + 0.779466i \(0.284509\pi\)
\(702\) −12.5562 + 22.3262i −0.473905 + 0.842648i
\(703\) 19.5411 0.737005
\(704\) −4.91623 9.42664i −0.185287 0.355280i
\(705\) −27.6322 35.5565i −1.04069 1.33913i
\(706\) −1.76713 14.2065i −0.0665067 0.534669i
\(707\) 3.44978 + 12.8747i 0.129742 + 0.484204i
\(708\) 13.5989 + 10.6120i 0.511078 + 0.398823i
\(709\) −1.00775 + 3.76098i −0.0378469 + 0.141247i −0.982264 0.187503i \(-0.939961\pi\)
0.944417 + 0.328750i \(0.106627\pi\)
\(710\) −4.34283 + 31.2591i −0.162983 + 1.17313i
\(711\) 1.16424 + 4.14078i 0.0436623 + 0.155291i
\(712\) 42.7289 16.6349i 1.60133 0.623419i
\(713\) −3.93936 + 2.27439i −0.147530 + 0.0851767i
\(714\) −24.6351 0.0246975i −0.921945 0.000924281i
\(715\) 12.6797 3.39752i 0.474195 0.127060i
\(716\) −10.5673 0.151051i −0.394918 0.00564506i
\(717\) 3.66841 4.84208i 0.136999 0.180831i
\(718\) 2.90719 6.87911i 0.108495 0.256726i
\(719\) −37.0063 −1.38010 −0.690050 0.723761i \(-0.742412\pi\)
−0.690050 + 0.723761i \(0.742412\pi\)
\(720\) −0.554203 + 34.0006i −0.0206539 + 1.26713i
\(721\) −12.2859 −0.457552
\(722\) 10.1164 23.9378i 0.376494 0.890874i
\(723\) 5.86057 + 13.9064i 0.217957 + 0.517184i
\(724\) −0.00683737 + 0.478330i −0.000254109 + 0.0177770i
\(725\) −10.7469 + 2.87962i −0.399129 + 0.106946i
\(726\) −11.2895 19.5994i −0.418993 0.727401i
\(727\) 28.4066 16.4006i 1.05354 0.608264i 0.129905 0.991526i \(-0.458533\pi\)
0.923640 + 0.383262i \(0.125199\pi\)
\(728\) −5.24473 + 11.9317i −0.194383 + 0.442220i
\(729\) 19.7826 + 18.3753i 0.732688 + 0.680565i
\(730\) −0.318322 + 2.29124i −0.0117816 + 0.0848025i
\(731\) −12.5861 + 46.9719i −0.465513 + 1.73732i
\(732\) −13.3593 33.0104i −0.493772 1.22010i
\(733\) 10.9743 + 40.9566i 0.405345 + 1.51277i 0.803419 + 0.595413i \(0.203012\pi\)
−0.398075 + 0.917353i \(0.630322\pi\)
\(734\) 1.75245 + 14.0885i 0.0646840 + 0.520015i
\(735\) 9.71899 23.8776i 0.358490 0.880740i
\(736\) 18.4150 13.1123i 0.678786 0.483327i
\(737\) 19.1620 0.705842
\(738\) −2.70107 6.42730i −0.0994279 0.236592i
\(739\) −15.3761 + 15.3761i −0.565620 + 0.565620i −0.930898 0.365278i \(-0.880974\pi\)
0.365278 + 0.930898i \(0.380974\pi\)
\(740\) 4.43800 + 17.5632i 0.163144 + 0.645637i
\(741\) 29.4207 + 22.2894i 1.08080 + 0.818823i
\(742\) −16.1087 12.5445i −0.591367 0.460524i
\(743\) 40.4824 + 23.3725i 1.48516 + 0.857456i 0.999857 0.0168926i \(-0.00537734\pi\)
0.485299 + 0.874348i \(0.338711\pi\)
\(744\) −5.36359 1.52547i −0.196639 0.0559264i
\(745\) −21.3664 + 12.3359i −0.782805 + 0.451952i
\(746\) 36.5247 + 5.07438i 1.33727 + 0.185786i
\(747\) 8.94961 + 5.02145i 0.327449 + 0.183725i
\(748\) 17.6542 9.85896i 0.645503 0.360479i
\(749\) −3.42213 0.916958i −0.125042 0.0335049i
\(750\) 13.2105 3.52554i 0.482378 0.128735i
\(751\) 25.7074 44.5265i 0.938077 1.62480i 0.169023 0.985612i \(-0.445939\pi\)
0.769054 0.639184i \(-0.220728\pi\)
\(752\) −32.2933 + 17.4334i −1.17762 + 0.635729i
\(753\) 14.5829 + 18.7650i 0.531432 + 0.683835i
\(754\) −7.04584 + 16.6721i −0.256594 + 0.607164i
\(755\) 41.2088 41.2088i 1.49974 1.49974i
\(756\) 10.9339 + 8.31821i 0.397663 + 0.302531i
\(757\) 25.4143 + 25.4143i 0.923698 + 0.923698i 0.997289 0.0735910i \(-0.0234459\pi\)
−0.0735910 + 0.997289i \(0.523446\pi\)
\(758\) −8.51866 20.9889i −0.309412 0.762351i
\(759\) −7.26324 + 5.64452i −0.263639 + 0.204883i
\(760\) 48.4336 + 7.43596i 1.75687 + 0.269731i
\(761\) 20.2336 + 11.6819i 0.733467 + 0.423467i 0.819689 0.572808i \(-0.194146\pi\)
−0.0862220 + 0.996276i \(0.527479\pi\)
\(762\) 11.1200 + 6.43498i 0.402834 + 0.233115i
\(763\) 4.17717 15.5894i 0.151224 0.564375i
\(764\) −12.0435 + 42.5071i −0.435718 + 1.53785i
\(765\) −64.6706 + 0.794725i −2.33817 + 0.0287334i
\(766\) 5.64219 4.26569i 0.203861 0.154126i
\(767\) 8.67859 + 15.0318i 0.313366 + 0.542765i
\(768\) 27.2555 + 5.01399i 0.983497 + 0.180927i
\(769\) −12.7645 + 22.1087i −0.460299 + 0.797261i −0.998976 0.0452513i \(-0.985591\pi\)
0.538677 + 0.842513i \(0.318924\pi\)
\(770\) −0.869076 6.98678i −0.0313193 0.251786i
\(771\) 19.3888 25.5920i 0.698270 0.921674i
\(772\) 30.6635 7.74828i 1.10360 0.278867i
\(773\) −19.2256