Properties

Label 547.2.o.a.4.11
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.11
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.82406 - 0.0209916i) q^{2} +(-0.585104 + 2.56351i) q^{3} +(1.32728 + 0.0305533i) q^{4} +(-1.34163 + 2.52090i) q^{5} +(1.12108 - 4.66371i) q^{6} +(-0.483254 - 1.19083i) q^{7} +(1.22578 + 0.0423345i) q^{8} +(-3.52632 - 1.69819i) q^{9} +O(q^{10})\) \(q+(-1.82406 - 0.0209916i) q^{2} +(-0.585104 + 2.56351i) q^{3} +(1.32728 + 0.0305533i) q^{4} +(-1.34163 + 2.52090i) q^{5} +(1.12108 - 4.66371i) q^{6} +(-0.483254 - 1.19083i) q^{7} +(1.22578 + 0.0423345i) q^{8} +(-3.52632 - 1.69819i) q^{9} +(2.50012 - 4.57011i) q^{10} +(-4.19869 - 4.37130i) q^{11} +(-0.854923 + 3.38463i) q^{12} +(4.43866 + 0.669020i) q^{13} +(0.856487 + 2.18229i) q^{14} +(-5.67735 - 4.91425i) q^{15} +(-4.88747 - 0.225133i) q^{16} +(1.03622 - 6.15233i) q^{17} +(6.39657 + 3.17162i) q^{18} +(-0.803415 + 0.433529i) q^{19} +(-1.85774 + 3.30496i) q^{20} +(3.33546 - 0.542065i) q^{21} +(7.56691 + 8.06166i) q^{22} +(-3.89912 - 0.913584i) q^{23} +(-0.825736 + 3.11754i) q^{24} +(-1.76218 - 2.61687i) q^{25} +(-8.08233 - 1.31351i) q^{26} +(1.49830 - 1.87881i) q^{27} +(-0.605031 - 1.59534i) q^{28} +(-2.04301 - 1.16391i) q^{29} +(10.2527 + 9.08307i) q^{30} +(6.95289 + 2.50048i) q^{31} +(6.46135 + 0.372186i) q^{32} +(13.6625 - 8.20572i) q^{33} +(-2.01927 + 11.2005i) q^{34} +(3.65031 + 0.379416i) q^{35} +(-4.62854 - 2.36172i) q^{36} +(-3.02909 + 2.44426i) q^{37} +(1.47458 - 0.773918i) q^{38} +(-4.31211 + 10.9871i) q^{39} +(-1.75126 + 3.03328i) q^{40} +(-2.40457 - 4.16484i) q^{41} +(-6.09546 + 0.918742i) q^{42} +(0.0164151 - 0.167282i) q^{43} +(-5.43930 - 5.93024i) q^{44} +(9.01195 - 6.61116i) q^{45} +(7.09306 + 1.74828i) q^{46} +(-0.355226 + 0.0286768i) q^{47} +(3.43681 - 12.3973i) q^{48} +(3.83589 - 3.72709i) q^{49} +(3.15939 + 4.81032i) q^{50} +(15.1652 + 6.25611i) q^{51} +(5.87092 + 1.02359i) q^{52} +(3.56384 - 1.23554i) q^{53} +(-2.77243 + 3.39561i) q^{54} +(16.6527 - 4.71982i) q^{55} +(-0.541951 - 1.48016i) q^{56} +(-0.641274 - 2.31322i) q^{57} +(3.70213 + 2.16592i) q^{58} +(-8.91486 + 3.79827i) q^{59} +(-7.38531 - 6.69607i) q^{60} +(-1.88000 + 0.878854i) q^{61} +(-12.6300 - 4.70698i) q^{62} +(-0.318146 + 5.01991i) q^{63} +(-2.01608 - 0.139424i) q^{64} +(-7.64154 + 10.2918i) q^{65} +(-25.0935 + 14.6809i) q^{66} +(-6.72930 - 6.53843i) q^{67} +(1.56333 - 8.13422i) q^{68} +(4.62337 - 9.46089i) q^{69} +(-6.65042 - 0.768704i) q^{70} +(14.7267 - 2.91831i) q^{71} +(-4.25061 - 2.23089i) q^{72} +(8.25677 - 7.14697i) q^{73} +(5.57655 - 4.39489i) q^{74} +(7.73942 - 2.98622i) q^{75} +(-1.07961 + 0.550869i) q^{76} +(-3.17645 + 7.11239i) q^{77} +(8.09619 - 19.9506i) q^{78} +(-6.30247 - 4.51286i) q^{79} +(7.12469 - 12.0188i) q^{80} +(-3.38118 - 4.23987i) q^{81} +(4.29865 + 7.64739i) q^{82} +(-5.22418 - 3.30357i) q^{83} +(4.44366 - 0.617565i) q^{84} +(14.1192 + 10.8663i) q^{85} +(-0.0334536 + 0.304788i) q^{86} +(4.17906 - 4.55626i) q^{87} +(-4.96163 - 5.53602i) q^{88} +(0.418554 + 4.83752i) q^{89} +(-16.5771 + 11.8700i) q^{90} +(-1.34831 - 5.60900i) q^{91} +(-5.14733 - 1.33172i) q^{92} +(-10.4782 + 16.3607i) q^{93} +(0.648555 - 0.0448514i) q^{94} +(-0.0150002 - 2.60696i) q^{95} +(-4.73466 + 16.3460i) q^{96} +(-1.89774 - 14.2562i) q^{97} +(-7.07513 + 6.71791i) q^{98} +(7.38265 + 22.5448i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.82406 0.0209916i −1.28981 0.0148433i −0.636108 0.771600i \(-0.719457\pi\)
−0.653697 + 0.756756i \(0.726783\pi\)
\(3\) −0.585104 + 2.56351i −0.337810 + 1.48004i 0.465802 + 0.884889i \(0.345766\pi\)
−0.803612 + 0.595153i \(0.797091\pi\)
\(4\) 1.32728 + 0.0305533i 0.663642 + 0.0152766i
\(5\) −1.34163 + 2.52090i −0.599993 + 1.12738i 0.379365 + 0.925247i \(0.376142\pi\)
−0.979358 + 0.202132i \(0.935213\pi\)
\(6\) 1.12108 4.66371i 0.457678 1.90395i
\(7\) −0.483254 1.19083i −0.182653 0.450092i 0.807538 0.589816i \(-0.200800\pi\)
−0.990190 + 0.139724i \(0.955378\pi\)
\(8\) 1.22578 + 0.0423345i 0.433380 + 0.0149675i
\(9\) −3.52632 1.69819i −1.17544 0.566062i
\(10\) 2.50012 4.57011i 0.790608 1.44519i
\(11\) −4.19869 4.37130i −1.26595 1.31800i −0.925985 0.377561i \(-0.876763\pi\)
−0.339969 0.940437i \(-0.610417\pi\)
\(12\) −0.854923 + 3.38463i −0.246795 + 0.977057i
\(13\) 4.43866 + 0.669020i 1.23106 + 0.185553i 0.732176 0.681115i \(-0.238505\pi\)
0.498885 + 0.866668i \(0.333743\pi\)
\(14\) 0.856487 + 2.18229i 0.228906 + 0.583242i
\(15\) −5.67735 4.91425i −1.46589 1.26886i
\(16\) −4.88747 0.225133i −1.22187 0.0562832i
\(17\) 1.03622 6.15233i 0.251320 1.49216i −0.519151 0.854683i \(-0.673752\pi\)
0.770471 0.637475i \(-0.220021\pi\)
\(18\) 6.39657 + 3.17162i 1.50769 + 0.747557i
\(19\) −0.803415 + 0.433529i −0.184316 + 0.0994584i −0.564429 0.825482i \(-0.690904\pi\)
0.380113 + 0.924940i \(0.375885\pi\)
\(20\) −1.85774 + 3.30496i −0.415403 + 0.739011i
\(21\) 3.33546 0.542065i 0.727857 0.118288i
\(22\) 7.56691 + 8.06166i 1.61327 + 1.71875i
\(23\) −3.89912 0.913584i −0.813023 0.190496i −0.199220 0.979955i \(-0.563841\pi\)
−0.613803 + 0.789459i \(0.710361\pi\)
\(24\) −0.825736 + 3.11754i −0.168553 + 0.636364i
\(25\) −1.76218 2.61687i −0.352436 0.523374i
\(26\) −8.08233 1.31351i −1.58508 0.257600i
\(27\) 1.49830 1.87881i 0.288348 0.361577i
\(28\) −0.605031 1.59534i −0.114340 0.301490i
\(29\) −2.04301 1.16391i −0.379377 0.216132i 0.293380 0.955996i \(-0.405220\pi\)
−0.672757 + 0.739863i \(0.734890\pi\)
\(30\) 10.2527 + 9.08307i 1.87187 + 1.65833i
\(31\) 6.95289 + 2.50048i 1.24878 + 0.449100i 0.877569 0.479450i \(-0.159164\pi\)
0.371207 + 0.928550i \(0.378944\pi\)
\(32\) 6.46135 + 0.372186i 1.14222 + 0.0657938i
\(33\) 13.6625 8.20572i 2.37834 1.42843i
\(34\) −2.01927 + 11.2005i −0.346302 + 1.92086i
\(35\) 3.65031 + 0.379416i 0.617015 + 0.0641331i
\(36\) −4.62854 2.36172i −0.771424 0.393619i
\(37\) −3.02909 + 2.44426i −0.497979 + 0.401834i −0.843959 0.536408i \(-0.819781\pi\)
0.345980 + 0.938242i \(0.387546\pi\)
\(38\) 1.47458 0.773918i 0.239208 0.125546i
\(39\) −4.31211 + 10.9871i −0.690491 + 1.75934i
\(40\) −1.75126 + 3.03328i −0.276899 + 0.479603i
\(41\) −2.40457 4.16484i −0.375531 0.650438i 0.614876 0.788624i \(-0.289206\pi\)
−0.990406 + 0.138186i \(0.955873\pi\)
\(42\) −6.09546 + 0.918742i −0.940550 + 0.141765i
\(43\) 0.0164151 0.167282i 0.00250328 0.0255102i −0.993887 0.110406i \(-0.964785\pi\)
0.996390 + 0.0848961i \(0.0270558\pi\)
\(44\) −5.43930 5.93024i −0.820006 0.894018i
\(45\) 9.01195 6.61116i 1.34342 0.985534i
\(46\) 7.09306 + 1.74828i 1.04581 + 0.257770i
\(47\) −0.355226 + 0.0286768i −0.0518150 + 0.00418294i −0.106347 0.994329i \(-0.533915\pi\)
0.0545319 + 0.998512i \(0.482633\pi\)
\(48\) 3.43681 12.3973i 0.496061 1.78940i
\(49\) 3.83589 3.72709i 0.547984 0.532441i
\(50\) 3.15939 + 4.81032i 0.446805 + 0.680281i
\(51\) 15.1652 + 6.25611i 2.12356 + 0.876030i
\(52\) 5.87092 + 1.02359i 0.814150 + 0.141947i
\(53\) 3.56384 1.23554i 0.489531 0.169715i −0.0716144 0.997432i \(-0.522815\pi\)
0.561145 + 0.827717i \(0.310361\pi\)
\(54\) −2.77243 + 3.39561i −0.377280 + 0.462084i
\(55\) 16.6527 4.71982i 2.24545 0.636421i
\(56\) −0.541951 1.48016i −0.0724213 0.197795i
\(57\) −0.641274 2.31322i −0.0849388 0.306394i
\(58\) 3.70213 + 2.16592i 0.486114 + 0.284400i
\(59\) −8.91486 + 3.79827i −1.16062 + 0.494492i −0.884458 0.466620i \(-0.845472\pi\)
−0.276158 + 0.961112i \(0.589061\pi\)
\(60\) −7.38531 6.69607i −0.953439 0.864459i
\(61\) −1.88000 + 0.878854i −0.240709 + 0.112526i −0.540088 0.841609i \(-0.681609\pi\)
0.299378 + 0.954134i \(0.403221\pi\)
\(62\) −12.6300 4.70698i −1.60401 0.597787i
\(63\) −0.318146 + 5.01991i −0.0400826 + 0.632449i
\(64\) −2.01608 0.139424i −0.252010 0.0174280i
\(65\) −7.64154 + 10.2918i −0.947817 + 1.27654i
\(66\) −25.0935 + 14.6809i −3.08880 + 1.80710i
\(67\) −6.72930 6.53843i −0.822115 0.798797i 0.159993 0.987118i \(-0.448853\pi\)
−0.982107 + 0.188321i \(0.939695\pi\)
\(68\) 1.56333 8.13422i 0.189582 0.986419i
\(69\) 4.62337 9.46089i 0.556589 1.13896i
\(70\) −6.65042 0.768704i −0.794877 0.0918777i
\(71\) 14.7267 2.91831i 1.74773 0.346339i 0.785562 0.618782i \(-0.212374\pi\)
0.962172 + 0.272443i \(0.0878316\pi\)
\(72\) −4.25061 2.23089i −0.500939 0.262913i
\(73\) 8.25677 7.14697i 0.966381 0.836490i −0.0201941 0.999796i \(-0.506428\pi\)
0.986575 + 0.163307i \(0.0522160\pi\)
\(74\) 5.57655 4.39489i 0.648260 0.510896i
\(75\) 7.73942 2.98622i 0.893672 0.344819i
\(76\) −1.07961 + 0.550869i −0.123839 + 0.0631890i
\(77\) −3.17645 + 7.11239i −0.361990 + 0.810532i
\(78\) 8.09619 19.9506i 0.916713 2.25896i
\(79\) −6.30247 4.51286i −0.709084 0.507736i 0.169377 0.985551i \(-0.445825\pi\)
−0.878460 + 0.477815i \(0.841429\pi\)
\(80\) 7.12469 12.0188i 0.796565 1.34374i
\(81\) −3.38118 4.23987i −0.375687 0.471096i
\(82\) 4.29865 + 7.64739i 0.474707 + 0.844513i
\(83\) −5.22418 3.30357i −0.573429 0.362614i 0.216059 0.976380i \(-0.430679\pi\)
−0.789488 + 0.613766i \(0.789654\pi\)
\(84\) 4.44366 0.617565i 0.484844 0.0673819i
\(85\) 14.1192 + 10.8663i 1.53144 + 1.17862i
\(86\) −0.0334536 + 0.304788i −0.00360740 + 0.0328661i
\(87\) 4.17906 4.55626i 0.448042 0.488482i
\(88\) −4.96163 5.53602i −0.528912 0.590142i
\(89\) 0.418554 + 4.83752i 0.0443666 + 0.512776i 0.984906 + 0.173091i \(0.0553754\pi\)
−0.940539 + 0.339685i \(0.889680\pi\)
\(90\) −16.5771 + 11.8700i −1.74738 + 1.25121i
\(91\) −1.34831 5.60900i −0.141341 0.587983i
\(92\) −5.14733 1.33172i −0.536646 0.138841i
\(93\) −10.4782 + 16.3607i −1.08654 + 1.69653i
\(94\) 0.648555 0.0448514i 0.0668933 0.00462607i
\(95\) −0.0150002 2.60696i −0.00153899 0.267469i
\(96\) −4.73466 + 16.3460i −0.483229 + 1.66830i
\(97\) −1.89774 14.2562i −0.192686 1.44750i −0.773671 0.633587i \(-0.781582\pi\)
0.580985 0.813914i \(-0.302667\pi\)
\(98\) −7.07513 + 6.71791i −0.714696 + 0.678612i
\(99\) 7.38265 + 22.5448i 0.741984 + 2.26584i
\(100\) −2.25896 3.52717i −0.225896 0.352717i
\(101\) 9.66519 + 13.0173i 0.961722 + 1.29527i 0.955407 + 0.295291i \(0.0954166\pi\)
0.00631469 + 0.999980i \(0.497990\pi\)
\(102\) −27.5310 11.7299i −2.72597 1.16143i
\(103\) −3.19409 6.93639i −0.314723 0.683463i 0.684227 0.729269i \(-0.260140\pi\)
−0.998950 + 0.0458059i \(0.985414\pi\)
\(104\) 5.41251 + 1.00798i 0.530740 + 0.0988407i
\(105\) −3.10845 + 9.13560i −0.303353 + 0.891543i
\(106\) −6.52659 + 2.17890i −0.633919 + 0.211633i
\(107\) −2.91051 + 0.717377i −0.281370 + 0.0693514i −0.377475 0.926020i \(-0.623208\pi\)
0.0961052 + 0.995371i \(0.469361\pi\)
\(108\) 2.04608 2.44794i 0.196884 0.235553i
\(109\) 5.28793 + 10.2178i 0.506492 + 0.978684i 0.994389 + 0.105783i \(0.0337348\pi\)
−0.487897 + 0.872901i \(0.662236\pi\)
\(110\) −30.4746 + 8.25968i −2.90564 + 0.787529i
\(111\) −4.49355 9.19524i −0.426509 0.872773i
\(112\) 2.09380 + 5.92895i 0.197845 + 0.560233i
\(113\) −0.370990 12.8918i −0.0348998 1.21276i −0.812104 0.583513i \(-0.801678\pi\)
0.777204 0.629249i \(-0.216637\pi\)
\(114\) 1.12116 + 4.23291i 0.105007 + 0.396449i
\(115\) 7.53422 8.60360i 0.702569 0.802290i
\(116\) −2.67609 1.60726i −0.248469 0.149230i
\(117\) −14.5160 9.89684i −1.34200 0.914963i
\(118\) 16.3410 6.74113i 1.50431 0.620572i
\(119\) −7.82714 + 1.73917i −0.717513 + 0.159430i
\(120\) −6.75116 6.26416i −0.616294 0.571837i
\(121\) −1.03634 + 25.7164i −0.0942125 + 2.33786i
\(122\) 3.44768 1.56362i 0.312138 0.141563i
\(123\) 12.0835 3.72727i 1.08953 0.336077i
\(124\) 9.15206 + 3.53128i 0.821879 + 0.317119i
\(125\) −5.24082 + 0.544736i −0.468753 + 0.0487227i
\(126\) 0.685693 9.14993i 0.0610864 0.815141i
\(127\) −3.24893 + 8.87337i −0.288296 + 0.787384i 0.708374 + 0.705838i \(0.249429\pi\)
−0.996670 + 0.0815468i \(0.974014\pi\)
\(128\) −9.22762 0.744930i −0.815614 0.0658432i
\(129\) 0.419224 + 0.139957i 0.0369106 + 0.0123226i
\(130\) 14.1547 18.6125i 1.24145 1.63242i
\(131\) −19.0736 4.00836i −1.66647 0.350212i −0.725373 0.688356i \(-0.758333\pi\)
−0.941094 + 0.338144i \(0.890201\pi\)
\(132\) 18.3848 10.4739i 1.60019 0.911634i
\(133\) 0.904514 + 0.747227i 0.0784313 + 0.0647928i
\(134\) 12.1374 + 12.0678i 1.04851 + 1.04250i
\(135\) 2.72613 + 6.29773i 0.234628 + 0.542022i
\(136\) 1.53064 7.49755i 0.131251 0.642910i
\(137\) 4.42654 0.101896i 0.378185 0.00870559i 0.166495 0.986042i \(-0.446755\pi\)
0.211690 + 0.977337i \(0.432103\pi\)
\(138\) −8.63191 + 17.1602i −0.734797 + 1.46077i
\(139\) −1.47239 0.667768i −0.124886 0.0566394i 0.349619 0.936892i \(-0.386311\pi\)
−0.474506 + 0.880252i \(0.657373\pi\)
\(140\) 4.83341 + 0.615122i 0.408497 + 0.0519873i
\(141\) 0.134331 0.927403i 0.0113127 0.0781014i
\(142\) −26.9236 + 5.01403i −2.25938 + 0.420768i
\(143\) −15.7121 22.2117i −1.31391 1.85744i
\(144\) 16.8525 + 9.09373i 1.40437 + 0.757811i
\(145\) 5.67504 3.58868i 0.471287 0.298024i
\(146\) −15.2109 + 12.8632i −1.25886 + 1.06456i
\(147\) 7.31003 + 12.0141i 0.602921 + 0.990903i
\(148\) −4.09514 + 3.15168i −0.336618 + 0.259067i
\(149\) −1.33597 + 1.35923i −0.109447 + 0.111353i −0.765730 0.643162i \(-0.777622\pi\)
0.656283 + 0.754515i \(0.272128\pi\)
\(150\) −14.1799 + 5.28459i −1.15778 + 0.431485i
\(151\) −1.02183 3.38164i −0.0831551 0.275194i 0.905735 0.423845i \(-0.139320\pi\)
−0.988890 + 0.148651i \(0.952507\pi\)
\(152\) −1.00317 + 0.497401i −0.0813675 + 0.0403445i
\(153\) −14.1018 + 19.9354i −1.14007 + 1.61168i
\(154\) 5.94334 12.9067i 0.478928 1.04005i
\(155\) −15.6316 + 14.1728i −1.25556 + 1.13839i
\(156\) −6.05909 + 14.4512i −0.485115 + 1.15702i
\(157\) −2.69087 3.21937i −0.214755 0.256934i 0.649067 0.760731i \(-0.275159\pi\)
−0.863822 + 0.503797i \(0.831936\pi\)
\(158\) 11.4014 + 8.36402i 0.907043 + 0.665406i
\(159\) 1.08211 + 9.85885i 0.0858170 + 0.781858i
\(160\) −9.60695 + 15.7891i −0.759496 + 1.24823i
\(161\) 0.796341 + 5.08469i 0.0627605 + 0.400730i
\(162\) 6.07847 + 7.80475i 0.477570 + 0.613199i
\(163\) 1.96848 6.25369i 0.154184 0.489827i −0.844791 0.535096i \(-0.820275\pi\)
0.998975 + 0.0452694i \(0.0144146\pi\)
\(164\) −3.06430 5.60139i −0.239282 0.437395i
\(165\) 2.35576 + 45.4509i 0.183395 + 3.53835i
\(166\) 9.45988 + 6.13558i 0.734229 + 0.476213i
\(167\) −0.0557832 + 3.23134i −0.00431664 + 0.250048i 0.989845 + 0.142149i \(0.0454013\pi\)
−0.994162 + 0.107899i \(0.965588\pi\)
\(168\) 4.11150 0.523249i 0.317209 0.0403695i
\(169\) 6.83163 + 2.10728i 0.525510 + 0.162098i
\(170\) −25.5261 20.1172i −1.95776 1.54292i
\(171\) 3.56931 0.164414i 0.272952 0.0125730i
\(172\) 0.0268985 0.221529i 0.00205099 0.0168914i
\(173\) 14.5030 9.64538i 1.10264 0.733324i 0.136320 0.990665i \(-0.456473\pi\)
0.966321 + 0.257340i \(0.0828462\pi\)
\(174\) −7.71850 + 8.22316i −0.585138 + 0.623396i
\(175\) −2.26467 + 3.36307i −0.171193 + 0.254224i
\(176\) 19.5369 + 22.3099i 1.47265 + 1.68167i
\(177\) −4.52077 25.0757i −0.339802 1.88481i
\(178\) −0.661920 8.83271i −0.0496130 0.662040i
\(179\) 13.0841 + 3.70838i 0.977949 + 0.277177i 0.723817 0.689992i \(-0.242386\pi\)
0.254132 + 0.967170i \(0.418210\pi\)
\(180\) 12.1634 8.49954i 0.906607 0.633518i
\(181\) −5.30189 25.9704i −0.394087 1.93036i −0.365607 0.930769i \(-0.619139\pi\)
−0.0284794 0.999594i \(-0.509067\pi\)
\(182\) 2.34165 + 10.2595i 0.173575 + 0.760481i
\(183\) −1.15295 5.33362i −0.0852289 0.394272i
\(184\) −4.74080 1.28492i −0.349497 0.0947259i
\(185\) −2.09783 10.9153i −0.154236 0.802509i
\(186\) 19.4562 29.6230i 1.42660 2.17207i
\(187\) −31.2444 + 21.3021i −2.28482 + 1.55776i
\(188\) −0.472361 + 0.0272089i −0.0344505 + 0.00198441i
\(189\) −2.96141 0.876283i −0.215411 0.0637402i
\(190\) −0.0273630 + 4.75557i −0.00198512 + 0.345005i
\(191\) −0.918445 14.4918i −0.0664563 1.04859i −0.882412 0.470477i \(-0.844082\pi\)
0.815956 0.578114i \(-0.196211\pi\)
\(192\) 1.53703 5.08666i 0.110926 0.367098i
\(193\) −0.0916862 0.544367i −0.00659971 0.0391844i 0.982616 0.185647i \(-0.0594382\pi\)
−0.989216 + 0.146463i \(0.953211\pi\)
\(194\) 3.16232 + 26.0441i 0.227042 + 1.86986i
\(195\) −21.9121 25.6109i −1.56916 1.83404i
\(196\) 5.20519 4.82971i 0.371799 0.344979i
\(197\) −12.1238 + 17.5644i −0.863786 + 1.25141i 0.102705 + 0.994712i \(0.467250\pi\)
−0.966491 + 0.256699i \(0.917365\pi\)
\(198\) −12.9931 41.2780i −0.923383 2.93350i
\(199\) 14.5862 15.1858i 1.03399 1.07649i 0.0369691 0.999316i \(-0.488230\pi\)
0.997017 0.0771775i \(-0.0245908\pi\)
\(200\) −2.04927 3.28232i −0.144905 0.232095i
\(201\) 20.6987 13.4249i 1.45997 0.946923i
\(202\) −17.3566 23.9473i −1.22121 1.68492i
\(203\) −0.398728 + 2.99534i −0.0279852 + 0.210232i
\(204\) 19.9374 + 8.76698i 1.39590 + 0.613811i
\(205\) 13.7252 0.474022i 0.958607 0.0331071i
\(206\) 5.68061 + 12.7194i 0.395787 + 0.886206i
\(207\) 12.1981 + 9.84303i 0.847828 + 0.684138i
\(208\) −21.5432 4.26910i −1.49375 0.296009i
\(209\) 5.26838 + 1.69172i 0.364422 + 0.117018i
\(210\) 5.86177 16.5986i 0.404500 1.14541i
\(211\) 16.4957 1.90670i 1.13561 0.131262i 0.473589 0.880746i \(-0.342958\pi\)
0.662023 + 0.749483i \(0.269698\pi\)
\(212\) 4.76798 1.53103i 0.327466 0.105152i
\(213\) −1.13553 + 39.4595i −0.0778051 + 2.70372i
\(214\) 5.32401 1.24744i 0.363942 0.0852734i
\(215\) 0.399678 + 0.265810i 0.0272578 + 0.0181281i
\(216\) 1.91613 2.23959i 0.130376 0.152385i
\(217\) −0.382357 9.48809i −0.0259561 0.644093i
\(218\) −9.43102 18.7488i −0.638749 1.26983i
\(219\) 13.4902 + 25.3480i 0.911586 + 1.71286i
\(220\) 22.2470 5.75575i 1.49990 0.388053i
\(221\) 8.71545 26.6148i 0.586264 1.79031i
\(222\) 8.00349 + 16.8670i 0.537159 + 1.13204i
\(223\) −17.2772 22.7185i −1.15697 1.52134i −0.812907 0.582394i \(-0.802116\pi\)
−0.344062 0.938947i \(-0.611803\pi\)
\(224\) −2.67926 7.87424i −0.179016 0.526120i
\(225\) 1.77008 + 12.2204i 0.118006 + 0.814695i
\(226\) 0.406087 + 23.5233i 0.0270125 + 1.56475i
\(227\) 7.02456 11.2512i 0.466236 0.746772i −0.528533 0.848912i \(-0.677258\pi\)
0.994770 + 0.102141i \(0.0325693\pi\)
\(228\) −0.780476 3.08989i −0.0516883 0.204633i
\(229\) −0.530057 5.40168i −0.0350272 0.356953i −0.996599 0.0824004i \(-0.973741\pi\)
0.961572 0.274552i \(-0.0885297\pi\)
\(230\) −13.9235 + 15.5353i −0.918086 + 1.02437i
\(231\) −16.3741 12.3043i −1.07734 0.809566i
\(232\) −2.45501 1.51319i −0.161179 0.0993457i
\(233\) −5.75524 7.04889i −0.377038 0.461788i 0.550873 0.834589i \(-0.314295\pi\)
−0.927911 + 0.372801i \(0.878397\pi\)
\(234\) 26.2703 + 18.3571i 1.71734 + 1.20004i
\(235\) 0.404289 0.933961i 0.0263729 0.0609249i
\(236\) −11.9486 + 4.76900i −0.777788 + 0.310436i
\(237\) 15.2564 13.5159i 0.991006 0.877955i
\(238\) 14.3137 3.00805i 0.927818 0.194983i
\(239\) 6.71372 14.1489i 0.434275 0.915215i −0.561848 0.827240i \(-0.689909\pi\)
0.996123 0.0879742i \(-0.0280393\pi\)
\(240\) 26.6415 + 25.2964i 1.71970 + 1.63288i
\(241\) −0.595529 + 0.821662i −0.0383614 + 0.0529279i −0.828441 0.560076i \(-0.810772\pi\)
0.790080 + 0.613004i \(0.210039\pi\)
\(242\) 2.43017 46.8866i 0.156217 3.01398i
\(243\) 19.3426 9.31491i 1.24083 0.597552i
\(244\) −2.52215 + 1.10905i −0.161464 + 0.0709996i
\(245\) 4.24929 + 14.6702i 0.271477 + 0.937247i
\(246\) −22.1193 + 6.54512i −1.41028 + 0.417301i
\(247\) −3.85612 + 1.38679i −0.245359 + 0.0882391i
\(248\) 8.41688 + 3.35940i 0.534472 + 0.213322i
\(249\) 11.5254 11.4593i 0.730394 0.726204i
\(250\) 9.57101 0.883618i 0.605324 0.0558849i
\(251\) −2.63019 + 1.97646i −0.166016 + 0.124753i −0.680503 0.732745i \(-0.738239\pi\)
0.514487 + 0.857498i \(0.327982\pi\)
\(252\) −0.575644 + 6.65312i −0.0362622 + 0.419107i
\(253\) 12.3777 + 20.8801i 0.778177 + 1.31272i
\(254\) 6.11251 16.1174i 0.383533 1.01129i
\(255\) −36.1171 + 29.8367i −2.26174 + 1.86844i
\(256\) 20.8408 + 1.92407i 1.30255 + 0.120254i
\(257\) 24.9653 15.3878i 1.55729 0.959864i 0.566560 0.824021i \(-0.308274\pi\)
0.990730 0.135843i \(-0.0433742\pi\)
\(258\) −0.761752 0.264091i −0.0474246 0.0164416i
\(259\) 4.37452 + 2.42593i 0.271820 + 0.150740i
\(260\) −10.4569 + 13.4267i −0.648512 + 0.832688i
\(261\) 5.22776 + 7.57372i 0.323590 + 0.468801i
\(262\) 34.7072 + 7.71187i 2.14422 + 0.476441i
\(263\) −24.4881 + 4.26950i −1.51000 + 0.263268i −0.865333 0.501197i \(-0.832893\pi\)
−0.644665 + 0.764465i \(0.723003\pi\)
\(264\) 17.0947 9.48003i 1.05211 0.583456i
\(265\) −1.66666 + 10.6417i −0.102382 + 0.653715i
\(266\) −1.63420 1.38197i −0.100199 0.0847343i
\(267\) −12.6459 1.75749i −0.773918 0.107556i
\(268\) −8.73192 8.88396i −0.533387 0.542674i
\(269\) −26.3571 12.3213i −1.60702 0.751242i −0.607933 0.793988i \(-0.708001\pi\)
−0.999086 + 0.0427460i \(0.986389\pi\)
\(270\) −4.84043 11.5447i −0.294579 0.702586i
\(271\) −12.7326 + 24.6029i −0.773448 + 1.49452i 0.0932277 + 0.995645i \(0.470282\pi\)
−0.866676 + 0.498872i \(0.833748\pi\)
\(272\) −6.44958 + 29.8360i −0.391063 + 1.80908i
\(273\) 15.1676 0.174551i 0.917986 0.0105643i
\(274\) −8.07641 + 0.0929448i −0.487914 + 0.00561500i
\(275\) −4.04027 + 18.6905i −0.243637 + 1.12708i
\(276\) 6.42559 12.4160i 0.386775 0.747357i
\(277\) −0.152802 0.364441i −0.00918099 0.0218971i 0.917564 0.397588i \(-0.130153\pi\)
−0.926745 + 0.375691i \(0.877405\pi\)
\(278\) 2.67171 + 1.24896i 0.160238 + 0.0749075i
\(279\) −20.2718 20.6248i −1.21364 1.23477i
\(280\) 4.45843 + 0.619617i 0.266442 + 0.0370292i
\(281\) 5.95139 + 5.03283i 0.355030 + 0.300234i 0.805544 0.592535i \(-0.201873\pi\)
−0.450514 + 0.892769i \(0.648759\pi\)
\(282\) −0.264495 + 1.68882i −0.0157505 + 0.100568i
\(283\) 24.1825 13.4107i 1.43750 0.797181i 0.442475 0.896781i \(-0.354100\pi\)
0.995028 + 0.0995993i \(0.0317561\pi\)
\(284\) 19.6356 3.42348i 1.16516 0.203146i
\(285\) 6.69174 + 1.48689i 0.396385 + 0.0880758i
\(286\) 28.1935 + 40.8453i 1.66712 + 2.41523i
\(287\) −3.79760 + 4.87611i −0.224165 + 0.287828i
\(288\) −22.1527 12.2850i −1.30536 0.723902i
\(289\) −20.7153 7.18175i −1.21854 0.422456i
\(290\) −10.4270 + 6.42684i −0.612292 + 0.377397i
\(291\) 37.6564 + 3.47652i 2.20745 + 0.203797i
\(292\) 11.1774 9.23379i 0.654110 0.540367i
\(293\) 9.27104 24.4457i 0.541620 1.42814i −0.332815 0.942992i \(-0.607998\pi\)
0.874435 0.485143i \(-0.161232\pi\)
\(294\) −13.0817 22.0678i −0.762943 1.28702i
\(295\) 2.38536 27.5693i 0.138881 1.60515i
\(296\) −3.81648 + 2.86790i −0.221828 + 0.166693i
\(297\) −14.5038 + 1.33902i −0.841594 + 0.0776979i
\(298\) 2.46542 2.45128i 0.142818 0.141999i
\(299\) −16.6957 6.66368i −0.965535 0.385370i
\(300\) 10.3637 3.72710i 0.598346 0.215184i
\(301\) −0.207137 + 0.0612920i −0.0119392 + 0.00353281i
\(302\) 1.79289 + 6.18977i 0.103169 + 0.356181i
\(303\) −39.0251 + 17.1603i −2.24193 + 0.985834i
\(304\) 4.02427 1.93799i 0.230808 0.111151i
\(305\) 0.306755 5.91838i 0.0175647 0.338885i
\(306\) 26.1411 36.0673i 1.49439 2.06183i
\(307\) −13.1770 12.5117i −0.752052 0.714082i 0.212736 0.977110i \(-0.431762\pi\)
−0.964788 + 0.263028i \(0.915279\pi\)
\(308\) −4.43336 + 9.34310i −0.252614 + 0.532373i
\(309\) 19.6504 4.12957i 1.11787 0.234923i
\(310\) 28.8105 25.5239i 1.63633 1.44966i
\(311\) −12.7947 + 5.10669i −0.725519 + 0.289574i −0.704005 0.710195i \(-0.748607\pi\)
−0.0215139 + 0.999769i \(0.506849\pi\)
\(312\) −5.75085 + 13.2852i −0.325578 + 0.752128i
\(313\) 19.1644 + 13.3917i 1.08324 + 0.756943i 0.971558 0.236802i \(-0.0760992\pi\)
0.111678 + 0.993744i \(0.464378\pi\)
\(314\) 4.84073 + 5.92881i 0.273178 + 0.334582i
\(315\) −12.2278 7.53685i −0.688961 0.424653i
\(316\) −8.22729 6.18241i −0.462821 0.347788i
\(317\) 12.5152 13.9640i 0.702924 0.784299i −0.281603 0.959531i \(-0.590866\pi\)
0.984527 + 0.175232i \(0.0560676\pi\)
\(318\) −1.76688 18.0058i −0.0990819 1.00972i
\(319\) 3.49016 + 13.8175i 0.195411 + 0.773631i
\(320\) 3.05630 4.89528i 0.170852 0.273654i
\(321\) −0.136049 7.88086i −0.00759351 0.439867i
\(322\) −1.34584 9.29150i −0.0750007 0.517795i
\(323\) 1.83470 + 5.39210i 0.102085 + 0.300025i
\(324\) −4.35824 5.73081i −0.242125 0.318378i
\(325\) −6.07098 12.7943i −0.336757 0.709701i
\(326\) −3.72191 + 11.3658i −0.206137 + 0.629492i
\(327\) −29.2873 + 7.57721i −1.61959 + 0.419020i
\(328\) −2.77117 5.20699i −0.153012 0.287508i
\(329\) 0.205813 + 0.409156i 0.0113469 + 0.0225575i
\(330\) −3.34295 82.9546i −0.184024 4.56650i
\(331\) −22.5847 + 26.3972i −1.24137 + 1.45092i −0.394691 + 0.918814i \(0.629148\pi\)
−0.846678 + 0.532105i \(0.821401\pi\)
\(332\) −6.83304 4.54440i −0.375012 0.249406i
\(333\) 14.8323 3.47529i 0.812807 0.190445i
\(334\) 0.169583 5.89298i 0.00927916 0.322450i
\(335\) 25.5109 8.19174i 1.39381 0.447563i
\(336\) −16.4240 + 1.89841i −0.896003 + 0.103567i
\(337\) 1.95974 5.54934i 0.106754 0.302292i −0.877360 0.479833i \(-0.840697\pi\)
0.984113 + 0.177542i \(0.0568144\pi\)
\(338\) −12.4171 3.98721i −0.675400 0.216876i
\(339\) 33.2654 + 6.59203i 1.80673 + 0.358030i
\(340\) 18.4081 + 14.8541i 0.998321 + 0.805575i
\(341\) −18.2627 40.8919i −0.988979 2.21442i
\(342\) −6.51409 + 0.224975i −0.352242 + 0.0121653i
\(343\) −14.5271 6.38792i −0.784390 0.344915i
\(344\) 0.0272031 0.204356i 0.00146670 0.0110182i
\(345\) 17.6471 + 24.3480i 0.950088 + 1.31085i
\(346\) −26.6568 + 17.2893i −1.43308 + 0.929479i
\(347\) −8.31598 13.3197i −0.446425 0.715040i 0.546014 0.837776i \(-0.316145\pi\)
−0.992439 + 0.122736i \(0.960833\pi\)
\(348\) 5.68601 5.91976i 0.304802 0.317332i
\(349\) 5.00008 + 15.8848i 0.267648 + 0.850292i 0.987698 + 0.156371i \(0.0499794\pi\)
−0.720050 + 0.693922i \(0.755881\pi\)
\(350\) 4.20149 6.08691i 0.224579 0.325359i
\(351\) 7.90741 7.33701i 0.422066 0.391620i
\(352\) −25.5023 29.8072i −1.35928 1.58873i
\(353\) 3.87637 + 31.9248i 0.206318 + 1.69918i 0.616642 + 0.787243i \(0.288492\pi\)
−0.410324 + 0.911940i \(0.634584\pi\)
\(354\) 7.71978 + 45.8345i 0.410301 + 2.43608i
\(355\) −12.4009 + 41.0397i −0.658173 + 2.17816i
\(356\) 0.407738 + 6.43355i 0.0216101 + 0.340977i
\(357\) 0.121307 21.0825i 0.00642023 1.11581i
\(358\) −23.7883 7.03897i −1.25725 0.372021i
\(359\) 1.47004 0.0846770i 0.0775856 0.00446908i −0.0186703 0.999826i \(-0.505943\pi\)
0.0962560 + 0.995357i \(0.469313\pi\)
\(360\) 11.3266 7.72233i 0.596963 0.407003i
\(361\) −9.97299 + 15.1843i −0.524894 + 0.799175i
\(362\) 9.12581 + 47.4828i 0.479642 + 2.49564i
\(363\) −65.3179 17.7035i −3.42830 0.929190i
\(364\) −1.61821 7.48593i −0.0848175 0.392369i
\(365\) 6.93929 + 30.4030i 0.363219 + 1.59137i
\(366\) 1.99110 + 9.75304i 0.104076 + 0.509800i
\(367\) −8.18160 + 5.71713i −0.427076 + 0.298432i −0.766551 0.642183i \(-0.778029\pi\)
0.339475 + 0.940615i \(0.389750\pi\)
\(368\) 18.8512 + 5.34294i 0.982686 + 0.278520i
\(369\) 1.40661 + 18.7700i 0.0732254 + 0.977125i
\(370\) 3.59744 + 19.9542i 0.187022 + 1.03737i
\(371\) −3.19356 3.64685i −0.165802 0.189335i
\(372\) −14.4074 + 21.3952i −0.746988 + 1.10929i
\(373\) −14.2641 + 15.1967i −0.738565 + 0.786855i −0.983155 0.182772i \(-0.941493\pi\)
0.244590 + 0.969626i \(0.421347\pi\)
\(374\) 57.4389 38.2004i 2.97010 1.97530i
\(375\) 1.66999 13.7536i 0.0862380 0.710234i
\(376\) −0.436644 + 0.0201132i −0.0225182 + 0.00103726i
\(377\) −8.28952 6.53300i −0.426932 0.336467i
\(378\) 5.38339 + 1.66056i 0.276892 + 0.0854098i
\(379\) −36.5918 + 4.65685i −1.87960 + 0.239207i −0.980212 0.197951i \(-0.936571\pi\)
−0.899385 + 0.437158i \(0.855985\pi\)
\(380\) 0.0597417 3.46064i 0.00306468 0.177527i
\(381\) −20.8460 13.5205i −1.06797 0.692676i
\(382\) 1.37109 + 26.4532i 0.0701512 + 1.35346i
\(383\) 11.0333 + 20.1684i 0.563777 + 1.03056i 0.991922 + 0.126847i \(0.0404858\pi\)
−0.428145 + 0.903710i \(0.640833\pi\)
\(384\) 7.30875 23.2192i 0.372973 1.18490i
\(385\) −13.6680 17.5497i −0.696585 0.894414i
\(386\) 0.155814 + 0.994882i 0.00793072 + 0.0506382i
\(387\) −0.341961 + 0.562013i −0.0173828 + 0.0285688i
\(388\) −2.08326 18.9801i −0.105761 0.963566i
\(389\) −5.98300 4.38912i −0.303350 0.222537i 0.429268 0.903177i \(-0.358772\pi\)
−0.732618 + 0.680640i \(0.761702\pi\)
\(390\) 39.4313 + 47.1759i 1.99668 + 2.38884i
\(391\) −9.66101 + 23.0420i −0.488578 + 1.16528i
\(392\) 4.85975 4.40621i 0.245455 0.222547i
\(393\) 21.4355 46.5500i 1.08128 2.34814i
\(394\) 22.4833 31.7840i 1.13269 1.60125i
\(395\) 19.8320 9.83332i 0.997857 0.494768i
\(396\) 9.11006 + 30.1489i 0.457798 + 1.51504i
\(397\) 6.82619 2.54400i 0.342596 0.127680i −0.172036 0.985091i \(-0.555035\pi\)
0.514633 + 0.857411i \(0.327928\pi\)
\(398\) −26.9248 + 27.3937i −1.34962 + 1.37312i
\(399\) −2.44476 + 1.88152i −0.122391 + 0.0941939i
\(400\) 8.02347 + 13.1866i 0.401173 + 0.659330i
\(401\) −18.7213 + 15.8318i −0.934897 + 0.790603i −0.978029 0.208467i \(-0.933153\pi\)
0.0431324 + 0.999069i \(0.486266\pi\)
\(402\) −38.0374 + 24.0534i −1.89713 + 1.19968i
\(403\) 29.1886 + 15.7504i 1.45399 + 0.784583i
\(404\) 12.4307 + 17.5730i 0.618452 + 0.874288i
\(405\) 15.2245 2.83530i 0.756514 0.140887i
\(406\) 0.790181 5.45531i 0.0392160 0.270742i
\(407\) 23.4028 + 2.97835i 1.16003 + 0.147632i
\(408\) 18.3244 + 8.31064i 0.907195 + 0.411438i
\(409\) −16.5040 + 32.8099i −0.816072 + 1.62235i −0.0337838 + 0.999429i \(0.510756\pi\)
−0.782288 + 0.622917i \(0.785948\pi\)
\(410\) −25.0455 + 0.576532i −1.23691 + 0.0284729i
\(411\) −2.32877 + 11.4071i −0.114870 + 0.562670i
\(412\) −4.02754 9.30415i −0.198423 0.458383i
\(413\) 8.83124 + 8.78057i 0.434557 + 0.432064i
\(414\) −22.0435 18.2103i −1.08338 0.894989i
\(415\) 15.3369 8.73747i 0.752857 0.428906i
\(416\) 28.4307 + 5.97477i 1.39393 + 0.292937i
\(417\) 2.57333 3.38376i 0.126016 0.165704i
\(418\) −9.57433 3.19638i −0.468296 0.156340i
\(419\) 8.36842 + 0.675569i 0.408824 + 0.0330037i 0.283168 0.959070i \(-0.408614\pi\)
0.125656 + 0.992074i \(0.459897\pi\)
\(420\) −4.40492 + 12.0306i −0.214938 + 0.587031i
\(421\) 0.186790 2.49254i 0.00910358 0.121479i −0.990800 0.135331i \(-0.956790\pi\)
0.999904 + 0.0138519i \(0.00440935\pi\)
\(422\) −30.1292 + 3.13166i −1.46667 + 0.152447i
\(423\) 1.30134 + 0.502116i 0.0632732 + 0.0244137i
\(424\) 4.42080 1.36364i 0.214693 0.0662240i
\(425\) −17.9258 + 8.12986i −0.869531 + 0.394356i
\(426\) 2.89959 71.9526i 0.140486 3.48611i
\(427\) 1.95508 + 1.81405i 0.0946132 + 0.0877882i
\(428\) −3.88500 + 0.863237i −0.187788 + 0.0417261i
\(429\) 66.1331 27.2818i 3.19294 1.31718i
\(430\) −0.723456 0.493244i −0.0348881 0.0237863i
\(431\) 18.4198 + 11.0629i 0.887251 + 0.532882i 0.884198 0.467113i \(-0.154706\pi\)
0.00305298 + 0.999995i \(0.499028\pi\)
\(432\) −7.74589 + 8.84532i −0.372674 + 0.425571i
\(433\) 2.76446 + 10.4371i 0.132851 + 0.501576i 0.999994 + 0.00351543i \(0.00111900\pi\)
−0.867142 + 0.498060i \(0.834046\pi\)
\(434\) 0.498272 + 17.3149i 0.0239178 + 0.831140i
\(435\) 5.87912 + 16.6478i 0.281882 + 0.798199i
\(436\) 6.70640 + 13.7234i 0.321178 + 0.657233i
\(437\) 3.52868 0.956396i 0.168800 0.0457506i
\(438\) −24.0749 46.5195i −1.15034 2.22279i
\(439\) 12.3496 14.7752i 0.589416 0.705181i −0.386755 0.922182i \(-0.626404\pi\)
0.976171 + 0.217001i \(0.0696276\pi\)
\(440\) 20.6124 5.08050i 0.982657 0.242203i
\(441\) −19.8559 + 6.62886i −0.945517 + 0.315660i
\(442\) −16.4562 + 48.3640i −0.782741 + 2.30044i
\(443\) 11.4092 + 2.12476i 0.542068 + 0.100950i 0.447023 0.894523i \(-0.352484\pi\)
0.0950453 + 0.995473i \(0.469700\pi\)
\(444\) −5.68328 12.3420i −0.269716 0.585725i
\(445\) −12.7564 5.43501i −0.604713 0.257644i
\(446\) 31.0378 + 41.8025i 1.46968 + 1.97941i
\(447\) −2.70272 4.22006i −0.127834 0.199602i
\(448\) 0.808248 + 2.46819i 0.0381861 + 0.116611i
\(449\) −16.1228 + 15.3088i −0.760884 + 0.722468i −0.966641 0.256135i \(-0.917551\pi\)
0.205757 + 0.978603i \(0.434034\pi\)
\(450\) −2.97221 22.3279i −0.140111 1.05255i
\(451\) −8.10972 + 27.9980i −0.381872 + 1.31837i
\(452\) −0.0985209 17.1225i −0.00463403 0.805373i
\(453\) 9.26674 0.640850i 0.435389 0.0301098i
\(454\) −13.0494 + 20.3755i −0.612439 + 0.956269i
\(455\) 15.9486 + 4.12623i 0.747683 + 0.193441i
\(456\) −0.688134 2.86266i −0.0322248 0.134056i
\(457\) 17.1927 12.3107i 0.804240 0.575873i −0.103877 0.994590i \(-0.533125\pi\)
0.908116 + 0.418718i \(0.137520\pi\)
\(458\) 0.853467 + 9.86411i 0.0398799 + 0.460920i
\(459\) −10.0065 11.1649i −0.467063 0.521133i
\(460\) 10.2629 11.1892i 0.478511 0.521700i
\(461\) 0.548462 4.99690i 0.0255444 0.232729i −0.974423 0.224720i \(-0.927853\pi\)
0.999968 0.00800946i \(-0.00254952\pi\)
\(462\) 29.6091 + 22.7876i 1.37754 + 1.06017i
\(463\) −1.39005 + 0.193184i −0.0646009 + 0.00897801i −0.169881 0.985465i \(-0.554338\pi\)
0.105280 + 0.994443i \(0.466426\pi\)
\(464\) 9.72310 + 6.14852i 0.451384 + 0.285438i
\(465\) −27.1860 48.3644i −1.26072 2.24284i
\(466\) 10.3499 + 12.9784i 0.479452 + 0.601213i
\(467\) 3.38317 5.70713i 0.156555 0.264095i −0.771742 0.635936i \(-0.780614\pi\)
0.928296 + 0.371841i \(0.121274\pi\)
\(468\) −18.9645 13.5794i −0.876633 0.627709i
\(469\) −4.53421 + 11.1732i −0.209371 + 0.515930i
\(470\) −0.757052 + 1.69511i −0.0349202 + 0.0781898i
\(471\) 9.82732 5.01440i 0.452819 0.231051i
\(472\) −11.0885 + 4.27845i −0.510389 + 0.196932i
\(473\) −0.800162 + 0.630610i −0.0367915 + 0.0289955i
\(474\) −28.1122 + 24.3336i −1.29124 + 1.11768i
\(475\) 2.55025 + 1.33848i 0.117014 + 0.0614135i
\(476\) −10.4420 + 2.06923i −0.478607 + 0.0948431i
\(477\) −14.6654 1.69514i −0.671483 0.0776150i
\(478\) −12.5432 + 25.6675i −0.573715 + 1.17400i
\(479\) −3.76768 + 19.6038i −0.172150 + 0.895719i 0.787882 + 0.615827i \(0.211178\pi\)
−0.960031 + 0.279892i \(0.909701\pi\)
\(480\) −34.8543 33.8657i −1.59087 1.54575i
\(481\) −15.0803 + 8.82272i −0.687604 + 0.402281i
\(482\) 1.10353 1.48626i 0.0502643 0.0676972i
\(483\) −13.5006 0.933646i −0.614298 0.0424824i
\(484\) −2.16124 + 34.1014i −0.0982380 + 1.55006i
\(485\) 38.4846 + 14.3425i 1.74749 + 0.651261i
\(486\) −35.4776 + 16.5849i −1.60930 + 0.752307i
\(487\) −22.8143 20.6851i −1.03381 0.937332i −0.0357388 0.999361i \(-0.511378\pi\)
−0.998074 + 0.0620289i \(0.980243\pi\)
\(488\) −2.34168 + 0.997696i −0.106003 + 0.0451636i
\(489\) 14.8796 + 8.70528i 0.672879 + 0.393666i
\(490\) −7.44300 26.8486i −0.336241 1.21290i
\(491\) 3.54387 + 9.67890i 0.159933 + 0.436803i 0.993250 0.115992i \(-0.0370047\pi\)
−0.833318 + 0.552795i \(0.813561\pi\)
\(492\) 16.1521 4.57796i 0.728195 0.206390i
\(493\) −9.27774 + 11.3632i −0.417849 + 0.511772i
\(494\) 7.06291 2.44863i 0.317775 0.110169i
\(495\) −66.7378 11.6357i −2.99964 0.522988i
\(496\) −33.4191 13.7864i −1.50056 0.619026i
\(497\) −10.5919 16.1267i −0.475113 0.723381i
\(498\) −21.2636 + 20.6605i −0.952845 + 0.925820i
\(499\) 3.47814 12.5464i 0.155703 0.561656i −0.843977 0.536379i \(-0.819792\pi\)
0.999680 0.0252775i \(-0.00804694\pi\)
\(500\) −6.97270 + 0.562895i −0.311829 + 0.0251734i
\(501\) −8.25092 2.03367i −0.368624 0.0908576i
\(502\) 4.83911 3.54996i 0.215980 0.158443i
\(503\) −9.19711 10.0272i −0.410079 0.447092i 0.497191 0.867641i \(-0.334365\pi\)
−0.907270 + 0.420549i \(0.861837\pi\)
\(504\) −0.602493 + 6.13985i −0.0268372 + 0.273491i
\(505\) −45.7824 + 6.90058i −2.03729 + 0.307072i
\(506\) −22.1393 38.3464i −0.984212 1.70471i
\(507\) −9.39924 + 16.2800i −0.417435 + 0.723019i
\(508\) −4.58336 + 11.6782i −0.203354 + 0.518137i
\(509\) 3.03895 1.59496i 0.134699 0.0706954i −0.396027 0.918239i \(-0.629612\pi\)
0.530726 + 0.847543i \(0.321919\pi\)
\(510\) 66.5060 53.6657i 2.94494 2.37636i
\(511\) −12.5010 6.37862i −0.553009 0.282173i
\(512\) −19.5584 2.03291i −0.864366 0.0898429i
\(513\) −0.389239 + 2.15902i −0.0171853 + 0.0953232i
\(514\) −45.8611 + 27.5442i −2.02285 + 1.21492i
\(515\) 21.7712 + 1.25406i 0.959354 + 0.0552606i
\(516\) 0.552153 + 0.198572i 0.0243072 + 0.00874165i
\(517\) 1.61684 + 1.43239i 0.0711085 + 0.0629966i
\(518\) −7.92847 4.51688i −0.348357 0.198460i
\(519\) 16.2403 + 42.8220i 0.712868 + 1.87968i
\(520\) −9.80258 + 12.2920i −0.429871 + 0.539042i
\(521\) −1.61050 0.261732i −0.0705573 0.0114667i 0.125030 0.992153i \(-0.460097\pi\)
−0.195587 + 0.980686i \(0.562661\pi\)
\(522\) −9.37676 13.9247i −0.410410 0.609466i
\(523\) −3.02724 + 11.4292i −0.132372 + 0.499765i 0.867625 + 0.497219i \(0.165646\pi\)
−0.999997 + 0.00254576i \(0.999190\pi\)
\(524\) −25.1936 5.90299i −1.10059 0.257873i
\(525\) −7.29620 7.77324i −0.318432 0.339252i
\(526\) 44.7573 7.27377i 1.95151 0.317152i
\(527\) 22.5885 40.1854i 0.983970 1.75050i
\(528\) −68.6227 + 37.0293i −2.98642 + 1.61149i
\(529\) −6.23755 3.09277i −0.271198 0.134468i
\(530\) 3.26347 19.3761i 0.141756 0.841645i
\(531\) 37.8868 + 1.74519i 1.64415 + 0.0757347i
\(532\) 1.17772 + 1.01942i 0.0510605 + 0.0441974i
\(533\) −7.88670 20.0950i −0.341611 0.870411i
\(534\) 23.0300 + 3.47122i 0.996606 + 0.150214i
\(535\) 2.09638 8.29955i 0.0906346 0.358821i
\(536\) −7.97186 8.29959i −0.344332 0.358488i
\(537\) −17.1620 + 31.3713i −0.740595 + 1.35377i
\(538\) 47.8182 + 23.0280i 2.06159 + 0.992810i
\(539\) −32.3980 1.11892i −1.39548 0.0481953i
\(540\) 3.42593 + 8.44217i 0.147429 + 0.363293i
\(541\) 7.68602 31.9741i 0.330448 1.37467i −0.522484 0.852649i \(-0.674994\pi\)
0.852932 0.522023i \(-0.174822\pi\)
\(542\) 23.7414 44.6098i 1.01978 1.91616i
\(543\) 69.6775 + 1.60393i 2.99015 + 0.0688313i
\(544\) 8.98518 39.3666i 0.385236 1.68783i
\(545\) −32.8523 0.378071i −1.40724 0.0161948i
\(546\) −27.6703 −1.18418
\(547\) −20.5912 11.0907i −0.880416 0.474203i
\(548\) 5.87839 0.251112
\(549\) 8.12194 + 0.0934687i 0.346636 + 0.00398915i
\(550\) 7.76204 34.0077i 0.330974 1.45009i
\(551\) 2.14597 + 0.0493989i 0.0914214 + 0.00210447i
\(552\) 6.06778 11.4013i 0.258262 0.485271i
\(553\) −2.32836 + 9.68604i −0.0990119 + 0.411892i
\(554\) 0.271070 + 0.667969i 0.0115167 + 0.0283793i
\(555\) 29.2089 + 1.00878i 1.23985 + 0.0428203i
\(556\) −1.93387 0.931305i −0.0820145 0.0394961i
\(557\) 3.69944 6.76240i 0.156750 0.286532i −0.787151 0.616761i \(-0.788445\pi\)
0.943901 + 0.330229i \(0.107126\pi\)
\(558\) 36.5441 + 38.0464i 1.54703 + 1.61063i
\(559\) 0.184776 0.731525i 0.00781518 0.0309402i
\(560\) −17.7554 2.67619i −0.750301 0.113090i
\(561\) −36.3269 92.5593i −1.53372 3.90786i
\(562\) −10.7500 9.30512i −0.453463 0.392513i
\(563\) 25.5404 + 1.17647i 1.07640 + 0.0495825i 0.576966 0.816768i \(-0.304237\pi\)
0.499436 + 0.866351i \(0.333541\pi\)
\(564\) 0.206630 1.22682i 0.00870070 0.0516585i
\(565\) 32.9967 + 16.3608i 1.38818 + 0.688304i
\(566\) −44.3919 + 23.9542i −1.86593 + 1.00687i
\(567\) −3.41500 + 6.07535i −0.143416 + 0.255141i
\(568\) 18.1753 2.95377i 0.762617 0.123937i
\(569\) −23.7968 25.3527i −0.997613 1.06284i −0.998024 0.0628397i \(-0.979984\pi\)
0.000411062 1.00000i \(-0.499869\pi\)
\(570\) −12.1749 2.85265i −0.509952 0.119484i
\(571\) 10.7608 40.6271i 0.450326 1.70019i −0.235036 0.971987i \(-0.575521\pi\)
0.685362 0.728203i \(-0.259644\pi\)
\(572\) −20.1757 29.9613i −0.843590 1.25275i
\(573\) 37.6872 + 6.12477i 1.57441 + 0.255866i
\(574\) 7.02941 8.81460i 0.293402 0.367914i
\(575\) 4.48023 + 11.8134i 0.186838 + 0.492653i
\(576\) 6.87258 + 3.91533i 0.286357 + 0.163139i
\(577\) 22.2230 + 19.6878i 0.925155 + 0.819616i 0.983911 0.178657i \(-0.0571751\pi\)
−0.0587567 + 0.998272i \(0.518714\pi\)
\(578\) 37.6351 + 13.5348i 1.56541 + 0.562973i
\(579\) 1.44913 + 0.0834729i 0.0602240 + 0.00346902i
\(580\) 7.64204 4.58981i 0.317318 0.190581i
\(581\) −1.40939 + 7.81759i −0.0584714 + 0.324328i
\(582\) −68.6145 7.13185i −2.84416 0.295625i
\(583\) −20.3644 10.3909i −0.843407 0.430349i
\(584\) 10.4236 8.41109i 0.431330 0.348053i
\(585\) 44.4240 23.3155i 1.83670 0.963977i
\(586\) −17.4241 + 44.3959i −0.719783 + 1.83398i
\(587\) −14.9018 + 25.8107i −0.615063 + 1.06532i 0.375311 + 0.926899i \(0.377536\pi\)
−0.990373 + 0.138421i \(0.955797\pi\)
\(588\) 9.33542 + 16.1694i 0.384986 + 0.666816i
\(589\) −6.67009 + 1.00535i −0.274836 + 0.0414249i
\(590\) −4.92977 + 50.2380i −0.202955 + 2.06827i
\(591\) −37.9327 41.3565i −1.56034 1.70118i
\(592\) 15.3549 11.2643i 0.631081 0.462960i
\(593\) −29.9231 7.37538i −1.22879 0.302871i −0.429088 0.903263i \(-0.641165\pi\)
−0.799706 + 0.600392i \(0.795011\pi\)
\(594\) 26.4839 2.13800i 1.08665 0.0877231i
\(595\) 6.11681 22.0647i 0.250765 0.904566i
\(596\) −1.81474 + 1.76327i −0.0743347 + 0.0722263i
\(597\) 30.3945 + 46.2771i 1.24397 + 1.89399i
\(598\) 30.3140 + 12.5054i 1.23963 + 0.511384i
\(599\) 11.8038 + 2.05799i 0.482289 + 0.0840871i 0.407678 0.913126i \(-0.366338\pi\)
0.0746108 + 0.997213i \(0.476229\pi\)
\(600\) 9.61328 3.33282i 0.392460 0.136062i
\(601\) −1.72116 + 2.10804i −0.0702076 + 0.0859888i −0.808515 0.588476i \(-0.799728\pi\)
0.738307 + 0.674465i \(0.235626\pi\)
\(602\) 0.379117 0.107452i 0.0154517 0.00437942i
\(603\) 12.6262 + 34.4842i 0.514178 + 1.40431i
\(604\) −1.25293 4.51962i −0.0509812 0.183901i
\(605\) −63.4381 37.1143i −2.57913 1.50891i
\(606\) 71.5444 30.4822i 2.90629 1.23826i
\(607\) −27.7653 25.1741i −1.12696 1.02178i −0.999552 0.0299324i \(-0.990471\pi\)
−0.127405 0.991851i \(-0.540665\pi\)
\(608\) −5.35250 + 2.50216i −0.217072 + 0.101476i
\(609\) −7.44528 2.77473i −0.301698 0.112438i
\(610\) −0.683775 + 10.7890i −0.0276852 + 0.436836i
\(611\) −1.59591 0.110367i −0.0645636 0.00446495i
\(612\) −19.3262 + 26.0290i −0.781216 + 1.05216i
\(613\) 6.05372 3.54172i 0.244508 0.143049i −0.377630 0.925957i \(-0.623261\pi\)
0.622137 + 0.782908i \(0.286264\pi\)
\(614\) 23.7730 + 23.0988i 0.959401 + 0.932190i
\(615\) −6.81549 + 35.4619i −0.274827 + 1.42996i
\(616\) −4.19474 + 8.58377i −0.169011 + 0.345850i
\(617\) −26.1538 3.02304i −1.05291 0.121703i −0.429083 0.903265i \(-0.641163\pi\)
−0.623828 + 0.781562i \(0.714423\pi\)
\(618\) −35.9301 + 7.12009i −1.44532 + 0.286412i
\(619\) −38.5808 20.2488i −1.55069 0.813867i −0.550908 0.834566i \(-0.685718\pi\)
−0.999786 + 0.0206991i \(0.993411\pi\)
\(620\) −21.1806 + 18.3337i −0.850635 + 0.736301i
\(621\) −7.55852 + 5.95689i −0.303313 + 0.239042i
\(622\) 23.4454 9.04633i 0.940076 0.362725i
\(623\) 5.55840 2.83618i 0.222693 0.113629i
\(624\) 23.5489 52.7283i 0.942710 2.11082i
\(625\) 11.5896 28.5591i 0.463585 1.14236i
\(626\) −34.6759 24.8295i −1.38593 0.992387i
\(627\) −7.41928 + 12.5157i −0.296297 + 0.499829i
\(628\) −3.47318 4.35524i −0.138595 0.173793i
\(629\) 11.8991 + 21.1687i 0.474448 + 0.844052i
\(630\) 22.1461 + 14.0043i 0.882322 + 0.557947i
\(631\) −0.459346 + 0.0638383i −0.0182863 + 0.00254136i −0.146791 0.989168i \(-0.546894\pi\)
0.128505 + 0.991709i \(0.458982\pi\)
\(632\) −7.53442 5.79860i −0.299703 0.230656i
\(633\) −4.76388 + 43.4025i −0.189347 + 1.72510i
\(634\) −23.1216 + 25.2085i −0.918277 + 1.00116i
\(635\) −18.0100 20.0950i −0.714706 0.797444i
\(636\) 1.13505 + 13.1186i 0.0450076 + 0.520185i
\(637\) 19.5197 13.9770i 0.773398 0.553788i
\(638\) −6.07621 25.2772i −0.240559 1.00073i
\(639\) −56.8868 14.7177i −2.25041 0.582225i
\(640\) 14.2579 22.2625i 0.563593 0.880001i
\(641\) −12.4696 + 0.862344i −0.492518 + 0.0340606i −0.313115 0.949715i \(-0.601373\pi\)
−0.179403 + 0.983776i \(0.557417\pi\)
\(642\) 0.0827296 + 14.3780i 0.00326508 + 0.567455i
\(643\) −8.56840 + 29.5815i −0.337905 + 1.16658i 0.594177 + 0.804334i \(0.297478\pi\)
−0.932082 + 0.362248i \(0.882009\pi\)
\(644\) 0.901617 + 6.77316i 0.0355287 + 0.266900i
\(645\) −0.915260 + 0.869050i −0.0360383 + 0.0342188i
\(646\) −3.23341 9.87403i −0.127217 0.388489i
\(647\) 20.3650 + 31.7982i 0.800632 + 1.25012i 0.964617 + 0.263654i \(0.0849276\pi\)
−0.163985 + 0.986463i \(0.552435\pi\)
\(648\) −3.96510 5.34030i −0.155764 0.209787i
\(649\) 54.0342 + 23.0218i 2.12103 + 0.903685i
\(650\) 10.8053 + 23.4650i 0.423817 + 0.920374i
\(651\) 24.5465 + 4.57134i 0.962053 + 0.179165i
\(652\) 2.80381 8.24028i 0.109806 0.322714i
\(653\) 6.77650 2.26233i 0.265185 0.0885318i −0.180966 0.983489i \(-0.557923\pi\)
0.446151 + 0.894958i \(0.352794\pi\)
\(654\) 53.5808 13.2065i 2.09518 0.516415i
\(655\) 35.6943 42.7048i 1.39469 1.66862i
\(656\) 10.8146 + 20.8969i 0.422240 + 0.815886i
\(657\) −41.2529 + 11.1810i −1.60943 + 0.436211i
\(658\) −0.366827 0.750645i −0.0143004 0.0292632i
\(659\) 0.217463 + 0.615785i 0.00847116 + 0.0239876i 0.947089 0.320972i \(-0.104010\pi\)
−0.938617 + 0.344960i \(0.887892\pi\)
\(660\) 1.73808 + 60.3982i 0.0676549 + 2.35100i
\(661\) 2.95313 + 11.1494i 0.114863 + 0.433663i 0.999466 0.0326833i \(-0.0104053\pi\)
−0.884602 + 0.466346i \(0.845570\pi\)
\(662\) 41.7500 47.6759i 1.62266 1.85298i
\(663\) 63.1278 + 37.9145i 2.45168 + 1.47248i
\(664\) −6.26386 4.27063i −0.243085 0.165733i
\(665\) −3.09720 + 1.27769i −0.120104 + 0.0495466i
\(666\) −27.1280 + 6.02779i −1.05119 + 0.233572i
\(667\) 6.90260 + 6.40468i 0.267270 + 0.247990i
\(668\) −0.172768 + 4.28720i −0.00668460 + 0.165877i
\(669\) 68.3479 30.9977i 2.64248 1.19844i
\(670\) −46.7054 + 14.4067i −1.80439 + 0.556580i
\(671\) 11.7353 + 4.52801i 0.453036 + 0.174802i
\(672\) 21.7533 2.26106i 0.839152 0.0872223i
\(673\) 0.652557 8.70777i 0.0251542 0.335660i −0.970402 0.241494i \(-0.922363\pi\)
0.995557 0.0941659i \(-0.0300184\pi\)
\(674\) −3.69116 + 10.0812i −0.142178 + 0.388313i
\(675\) −7.55688 0.610055i −0.290865 0.0234810i
\(676\) 9.00313 + 3.00569i 0.346274 + 0.115603i
\(677\) 0.0463842 0.0609922i 0.00178269 0.00234412i −0.795081 0.606504i \(-0.792572\pi\)
0.796863 + 0.604159i \(0.206491\pi\)
\(678\) −60.5397 12.7226i −2.32501 0.488607i
\(679\) −16.0597 + 9.14927i −0.616314 + 0.351117i
\(680\) 16.8470 + 13.9175i 0.646053 + 0.533711i
\(681\) 24.7326 + 24.5907i 0.947754 + 0.942316i
\(682\) 32.4538 + 74.9727i 1.24272 + 2.87085i
\(683\) −5.52727 + 27.0744i −0.211495 + 1.03597i 0.725926 + 0.687773i \(0.241412\pi\)
−0.937421 + 0.348199i \(0.886793\pi\)
\(684\) 4.74251 0.109170i 0.181335 0.00417421i
\(685\) −5.68189 + 11.2956i −0.217094 + 0.431581i
\(686\) 26.3642 + 11.9569i 1.00659 + 0.456517i
\(687\) 14.1574 + 1.80174i 0.540138 + 0.0687405i
\(688\) −0.117889 + 0.813890i −0.00449447 + 0.0310293i
\(689\) 16.6453 3.09988i 0.634134 0.118096i
\(690\) −31.6783 44.7827i −1.20597 1.70485i
\(691\) −14.8626 8.01997i −0.565400 0.305094i 0.167013 0.985955i \(-0.446588\pi\)
−0.732413 + 0.680860i \(0.761606\pi\)
\(692\) 19.5443 12.3590i 0.742961 0.469820i
\(693\) 23.2793 19.6863i 0.884309 0.747822i
\(694\) 14.8893 + 24.4705i 0.565188 + 0.928889i
\(695\) 3.65877 2.81584i 0.138785 0.106811i
\(696\) 5.31551 5.40806i 0.201484 0.204992i
\(697\) −28.1151 + 10.4780i −1.06494 + 0.396883i
\(698\) −8.78699 29.0797i −0.332593 1.10068i
\(699\) 21.4373 10.6293i 0.810833 0.402036i
\(700\) −3.10861 + 4.39456i −0.117494 + 0.166099i
\(701\) −9.84197 + 21.3731i −0.371726 + 0.807252i 0.627856 + 0.778330i \(0.283933\pi\)
−0.999582 + 0.0289223i \(0.990792\pi\)
\(702\) −14.5776 + 13.2171i −0.550196 + 0.498849i
\(703\) 1.37396 3.27695i 0.0518197 0.123593i
\(704\) 7.85544 + 9.39830i 0.296063 + 0.354212i
\(705\) 2.15767 + 1.58286i 0.0812624 + 0.0596140i
\(706\) −6.40057 58.3140i −0.240889 2.19468i
\(707\) 10.8307 17.8003i 0.407330 0.669448i
\(708\) −5.23420 33.4207i −0.196713 1.25603i
\(709\) 6.25191 + 8.02744i 0.234795 + 0.301477i 0.891818 0.452394i \(-0.149430\pi\)
−0.657023 + 0.753871i \(0.728184\pi\)
\(710\) 23.4815 74.5986i 0.881246 2.79963i
\(711\) 14.5609 + 26.6166i 0.546075 + 0.998199i
\(712\) 0.308262 + 5.94747i 0.0115526 + 0.222891i
\(713\) −24.8258 16.1017i −0.929732 0.603015i
\(714\) −0.663827 + 38.4533i −0.0248431 + 1.43908i
\(715\) 77.0732 9.80870i 2.88237 0.366825i
\(716\) 17.2530 + 5.32184i 0.644774 + 0.198886i
\(717\) 32.3425 + 25.4893i 1.20785 + 0.951913i
\(718\) −2.68321 + 0.123597i −0.100137 + 0.00461262i
\(719\) −2.07051 + 17.0522i −0.0772170 + 0.635939i 0.901799 + 0.432156i \(0.142247\pi\)
−0.979016 + 0.203783i \(0.934676\pi\)
\(720\) −45.5341 + 30.2830i −1.69695 + 1.12858i
\(721\) −6.71652 + 7.15566i −0.250136 + 0.266491i
\(722\) 18.5101 27.4878i 0.688874 1.02299i
\(723\) −1.75789 2.00740i −0.0653766 0.0746560i
\(724\) −6.24364 34.6321i −0.232043 1.28709i
\(725\) 0.554351 + 7.39730i 0.0205881 + 0.274729i
\(726\) 118.772 + 33.6633i 4.40805 + 1.24936i
\(727\) 23.6355 16.5160i 0.876590 0.612543i −0.0457365 0.998954i \(-0.514563\pi\)
0.922327 + 0.386410i \(0.126285\pi\)
\(728\) −1.41528 6.93250i −0.0524537 0.256935i
\(729\) 8.94121 + 39.1740i 0.331156 + 1.45089i
\(730\) −12.0195 55.6026i −0.444861 2.05794i
\(731\) −1.01216 0.274332i −0.0374362 0.0101465i
\(732\) −1.36734 7.11445i −0.0505383 0.262958i
\(733\) 2.96371 4.51239i 0.109467 0.166669i −0.776941 0.629574i \(-0.783230\pi\)
0.886408 + 0.462905i \(0.153193\pi\)
\(734\) 15.0437 10.2566i 0.555274 0.378580i
\(735\) −40.0935 + 2.30946i −1.47887 + 0.0851859i
\(736\) −24.8536 7.35419i −0.916115 0.271079i
\(737\) −0.327217 + 56.8687i −0.0120532 + 2.09479i
\(738\) −2.17174 34.2671i −0.0799427 1.26139i
\(739\) −7.72764 + 25.5739i −0.284266 + 0.940752i 0.691581 + 0.722299i \(0.256914\pi\)
−0.975847 + 0.218453i \(0.929899\pi\)
\(740\) −2.45092 14.5518i −0.0900976 0.534935i
\(741\) −1.29880 10.6966i −0.0477128 0.392950i
\(742\) 5.74870 + 6.71911i 0.211041 + 0.246666i
\(743\) 1.56144 1.44881i 0.0572838 0.0531516i −0.651011 0.759068i \(-0.725655\pi\)
0.708295 + 0.705916i \(0.249465\pi\)
\(744\) −13.5366 + 19.6111i −0.496275 + 0.718979i
\(745\) −1.63411 5.19142i −0.0598693 0.190199i
\(746\) 26.3375 27.4202i 0.964284 1.00393i
\(747\) 12.8121 + 20.5211i 0.468769 + 0.750827i
\(748\) −42.1211 + 27.3193i −1.54010 + 0.998893i
\(749\) 2.26079 + 3.11925i 0.0826075