Properties

Label 273.2.bt.a.136.9
Level $273$
Weight $2$
Character 273.136
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bt (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 136.9
Character \(\chi\) \(=\) 273.136
Dual form 273.2.bt.a.271.9

$q$-expansion

\(f(q)\) \(=\) \(q+(1.74432 - 1.74432i) q^{2} +(0.866025 - 0.500000i) q^{3} -4.08534i q^{4} +(0.130892 - 0.488495i) q^{5} +(0.638467 - 2.38279i) q^{6} +(1.09376 + 2.40909i) q^{7} +(-3.63751 - 3.63751i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(1.74432 - 1.74432i) q^{2} +(0.866025 - 0.500000i) q^{3} -4.08534i q^{4} +(0.130892 - 0.488495i) q^{5} +(0.638467 - 2.38279i) q^{6} +(1.09376 + 2.40909i) q^{7} +(-3.63751 - 3.63751i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.623777 - 1.08041i) q^{10} +(-1.54092 + 5.75079i) q^{11} +(-2.04267 - 3.53801i) q^{12} +(-3.50782 - 0.833795i) q^{13} +(6.11010 + 2.29436i) q^{14} +(-0.130892 - 0.488495i) q^{15} -4.51932 q^{16} +0.933228 q^{17} +(-0.638467 - 2.38279i) q^{18} +(-7.66303 + 2.05330i) q^{19} +(-1.99567 - 0.534738i) q^{20} +(2.15177 + 1.53945i) q^{21} +(7.34338 + 12.7191i) q^{22} -8.12427i q^{23} +(-4.96893 - 1.33142i) q^{24} +(4.10863 + 2.37212i) q^{25} +(-7.57318 + 4.66436i) q^{26} -1.00000i q^{27} +(9.84193 - 4.46838i) q^{28} +(1.96458 - 3.40276i) q^{29} +(-1.08041 - 0.623777i) q^{30} +(-2.37727 + 0.636987i) q^{31} +(-0.608140 + 0.608140i) q^{32} +(1.54092 + 5.75079i) q^{33} +(1.62785 - 1.62785i) q^{34} +(1.31999 - 0.218966i) q^{35} +(-3.53801 - 2.04267i) q^{36} +(0.859350 + 0.859350i) q^{37} +(-9.78519 + 16.9484i) q^{38} +(-3.45476 + 1.03182i) q^{39} +(-2.25303 + 1.30079i) q^{40} +(7.84968 - 2.10332i) q^{41} +(6.43868 - 1.06808i) q^{42} +(-0.152677 + 0.0881483i) q^{43} +(23.4939 + 6.29518i) q^{44} +(-0.357603 - 0.357603i) q^{45} +(-14.1714 - 14.1714i) q^{46} +(1.65836 + 0.444356i) q^{47} +(-3.91384 + 2.25966i) q^{48} +(-4.60738 + 5.26992i) q^{49} +(11.3045 - 3.02904i) q^{50} +(0.808199 - 0.466614i) q^{51} +(-3.40634 + 14.3306i) q^{52} +(0.750763 - 1.30036i) q^{53} +(-1.74432 - 1.74432i) q^{54} +(2.60754 + 1.50546i) q^{55} +(4.78451 - 12.7416i) q^{56} +(-5.60973 + 5.60973i) q^{57} +(-2.50865 - 9.36239i) q^{58} +(-3.03017 + 3.03017i) q^{59} +(-1.99567 + 0.534738i) q^{60} +(-6.74749 - 3.89567i) q^{61} +(-3.03561 + 5.25784i) q^{62} +(2.63321 + 0.257320i) q^{63} -6.91705i q^{64} +(-0.866450 + 1.60442i) q^{65} +(12.7191 + 7.34338i) q^{66} +(-7.37302 - 1.97559i) q^{67} -3.81255i q^{68} +(-4.06214 - 7.03583i) q^{69} +(1.92055 - 2.68444i) q^{70} +(6.54710 + 1.75429i) q^{71} +(-4.96893 + 1.33142i) q^{72} +(-3.27893 - 12.2371i) q^{73} +2.99797 q^{74} +4.74424 q^{75} +(8.38844 + 31.3061i) q^{76} +(-15.5395 + 2.57777i) q^{77} +(-4.22639 + 7.82605i) q^{78} +(4.64069 + 8.03790i) q^{79} +(-0.591542 + 2.20767i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(10.0235 - 17.3613i) q^{82} +(1.66068 + 1.66068i) q^{83} +(6.28917 - 8.79069i) q^{84} +(0.122152 - 0.455878i) q^{85} +(-0.112560 + 0.420078i) q^{86} -3.92917i q^{87} +(26.5237 - 15.3134i) q^{88} +(3.02064 - 3.02064i) q^{89} -1.24755 q^{90} +(-1.82802 - 9.36260i) q^{91} -33.1904 q^{92} +(-1.74028 + 1.74028i) q^{93} +(3.66782 - 2.11762i) q^{94} +4.01211i q^{95} +(-0.222595 + 0.830735i) q^{96} +(-0.856967 + 3.19825i) q^{97} +(1.15567 + 17.2292i) q^{98} +(4.20987 + 4.20987i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 6q^{7} + 18q^{9} + O(q^{10}) \) \( 36q + 6q^{7} + 18q^{9} - 8q^{11} - 16q^{12} + 42q^{14} - 24q^{16} - 8q^{17} - 18q^{19} + 14q^{20} - 4q^{21} + 4q^{22} + 18q^{24} + 24q^{25} - 50q^{26} + 34q^{28} + 8q^{29} + 6q^{31} - 50q^{32} + 8q^{33} - 24q^{34} + 14q^{35} - 14q^{37} - 8q^{38} - 2q^{39} - 30q^{40} + 34q^{41} - 18q^{42} + 30q^{43} + 28q^{44} - 32q^{46} - 10q^{47} + 24q^{48} + 6q^{49} - 20q^{50} - 24q^{51} + 4q^{52} - 8q^{53} - 30q^{55} - 92q^{56} - 24q^{57} + 72q^{58} - 70q^{59} + 14q^{60} - 60q^{61} - 48q^{62} + 6q^{63} - 44q^{65} + 18q^{66} - 46q^{67} + 4q^{69} + 80q^{70} + 42q^{71} + 18q^{72} - 56q^{73} + 40q^{74} - 20q^{75} + 12q^{76} + 24q^{77} - 16q^{78} + 170q^{80} - 18q^{81} + 24q^{82} - 60q^{83} + 2q^{85} + 12q^{86} + 84q^{88} + 64q^{89} - 86q^{91} - 100q^{92} + 12q^{93} - 66q^{94} + 46q^{96} + 36q^{97} - 22q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.74432 1.74432i 1.23342 1.23342i 0.270784 0.962640i \(-0.412717\pi\)
0.962640 0.270784i \(-0.0872829\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 4.08534i 2.04267i
\(5\) 0.130892 0.488495i 0.0585366 0.218462i −0.930461 0.366390i \(-0.880594\pi\)
0.988998 + 0.147928i \(0.0472604\pi\)
\(6\) 0.638467 2.38279i 0.260653 0.972771i
\(7\) 1.09376 + 2.40909i 0.413402 + 0.910549i
\(8\) −3.63751 3.63751i −1.28605 1.28605i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −0.623777 1.08041i −0.197255 0.341656i
\(11\) −1.54092 + 5.75079i −0.464605 + 1.73393i 0.193592 + 0.981082i \(0.437986\pi\)
−0.658197 + 0.752846i \(0.728680\pi\)
\(12\) −2.04267 3.53801i −0.589668 1.02133i
\(13\) −3.50782 0.833795i −0.972894 0.231253i
\(14\) 6.11010 + 2.29436i 1.63299 + 0.613193i
\(15\) −0.130892 0.488495i −0.0337962 0.126129i
\(16\) −4.51932 −1.12983
\(17\) 0.933228 0.226341 0.113171 0.993576i \(-0.463899\pi\)
0.113171 + 0.993576i \(0.463899\pi\)
\(18\) −0.638467 2.38279i −0.150488 0.561630i
\(19\) −7.66303 + 2.05330i −1.75802 + 0.471060i −0.986308 0.164913i \(-0.947266\pi\)
−0.771711 + 0.635973i \(0.780599\pi\)
\(20\) −1.99567 0.534738i −0.446245 0.119571i
\(21\) 2.15177 + 1.53945i 0.469554 + 0.335935i
\(22\) 7.34338 + 12.7191i 1.56561 + 2.71172i
\(23\) 8.12427i 1.69403i −0.531571 0.847014i \(-0.678398\pi\)
0.531571 0.847014i \(-0.321602\pi\)
\(24\) −4.96893 1.33142i −1.01428 0.271775i
\(25\) 4.10863 + 2.37212i 0.821726 + 0.474424i
\(26\) −7.57318 + 4.66436i −1.48522 + 0.914757i
\(27\) 1.00000i 0.192450i
\(28\) 9.84193 4.46838i 1.85995 0.844444i
\(29\) 1.96458 3.40276i 0.364814 0.631877i −0.623932 0.781479i \(-0.714466\pi\)
0.988746 + 0.149602i \(0.0477992\pi\)
\(30\) −1.08041 0.623777i −0.197255 0.113885i
\(31\) −2.37727 + 0.636987i −0.426970 + 0.114406i −0.465903 0.884836i \(-0.654271\pi\)
0.0389336 + 0.999242i \(0.487604\pi\)
\(32\) −0.608140 + 0.608140i −0.107505 + 0.107505i
\(33\) 1.54092 + 5.75079i 0.268240 + 1.00108i
\(34\) 1.62785 1.62785i 0.279174 0.279174i
\(35\) 1.31999 0.218966i 0.223119 0.0370120i
\(36\) −3.53801 2.04267i −0.589668 0.340445i
\(37\) 0.859350 + 0.859350i 0.141276 + 0.141276i 0.774208 0.632932i \(-0.218149\pi\)
−0.632932 + 0.774208i \(0.718149\pi\)
\(38\) −9.78519 + 16.9484i −1.58737 + 2.74940i
\(39\) −3.45476 + 1.03182i −0.553204 + 0.165224i
\(40\) −2.25303 + 1.30079i −0.356235 + 0.205672i
\(41\) 7.84968 2.10332i 1.22591 0.328483i 0.412927 0.910764i \(-0.364506\pi\)
0.812987 + 0.582281i \(0.197840\pi\)
\(42\) 6.43868 1.06808i 0.993510 0.164808i
\(43\) −0.152677 + 0.0881483i −0.0232831 + 0.0134425i −0.511596 0.859226i \(-0.670946\pi\)
0.488313 + 0.872668i \(0.337612\pi\)
\(44\) 23.4939 + 6.29518i 3.54184 + 0.949034i
\(45\) −0.357603 0.357603i −0.0533084 0.0533084i
\(46\) −14.1714 14.1714i −2.08945 2.08945i
\(47\) 1.65836 + 0.444356i 0.241897 + 0.0648160i 0.377730 0.925916i \(-0.376705\pi\)
−0.135834 + 0.990732i \(0.543371\pi\)
\(48\) −3.91384 + 2.25966i −0.564915 + 0.326154i
\(49\) −4.60738 + 5.26992i −0.658198 + 0.752845i
\(50\) 11.3045 3.02904i 1.59870 0.428371i
\(51\) 0.808199 0.466614i 0.113171 0.0653390i
\(52\) −3.40634 + 14.3306i −0.472374 + 1.98730i
\(53\) 0.750763 1.30036i 0.103125 0.178618i −0.809845 0.586643i \(-0.800449\pi\)
0.912971 + 0.408025i \(0.133782\pi\)
\(54\) −1.74432 1.74432i −0.237373 0.237373i
\(55\) 2.60754 + 1.50546i 0.351601 + 0.202997i
\(56\) 4.78451 12.7416i 0.639357 1.70267i
\(57\) −5.60973 + 5.60973i −0.743026 + 0.743026i
\(58\) −2.50865 9.36239i −0.329401 1.22934i
\(59\) −3.03017 + 3.03017i −0.394495 + 0.394495i −0.876286 0.481791i \(-0.839986\pi\)
0.481791 + 0.876286i \(0.339986\pi\)
\(60\) −1.99567 + 0.534738i −0.257640 + 0.0690344i
\(61\) −6.74749 3.89567i −0.863928 0.498789i 0.00139788 0.999999i \(-0.499555\pi\)
−0.865326 + 0.501210i \(0.832888\pi\)
\(62\) −3.03561 + 5.25784i −0.385523 + 0.667746i
\(63\) 2.63321 + 0.257320i 0.331753 + 0.0324192i
\(64\) 6.91705i 0.864631i
\(65\) −0.866450 + 1.60442i −0.107470 + 0.199003i
\(66\) 12.7191 + 7.34338i 1.56561 + 0.903908i
\(67\) −7.37302 1.97559i −0.900757 0.241357i −0.221416 0.975179i \(-0.571068\pi\)
−0.679341 + 0.733822i \(0.737734\pi\)
\(68\) 3.81255i 0.462340i
\(69\) −4.06214 7.03583i −0.489024 0.847014i
\(70\) 1.92055 2.68444i 0.229549 0.320852i
\(71\) 6.54710 + 1.75429i 0.776998 + 0.208196i 0.625461 0.780256i \(-0.284911\pi\)
0.151537 + 0.988452i \(0.451578\pi\)
\(72\) −4.96893 + 1.33142i −0.585594 + 0.156909i
\(73\) −3.27893 12.2371i −0.383770 1.43225i −0.840097 0.542437i \(-0.817502\pi\)
0.456327 0.889812i \(-0.349165\pi\)
\(74\) 2.99797 0.348507
\(75\) 4.74424 0.547818
\(76\) 8.38844 + 31.3061i 0.962220 + 3.59105i
\(77\) −15.5395 + 2.57777i −1.77089 + 0.293764i
\(78\) −4.22639 + 7.82605i −0.478544 + 0.886126i
\(79\) 4.64069 + 8.03790i 0.522118 + 0.904335i 0.999669 + 0.0257307i \(0.00819123\pi\)
−0.477551 + 0.878604i \(0.658475\pi\)
\(80\) −0.591542 + 2.20767i −0.0661364 + 0.246824i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 10.0235 17.3613i 1.10691 1.91723i
\(83\) 1.66068 + 1.66068i 0.182284 + 0.182284i 0.792350 0.610067i \(-0.208857\pi\)
−0.610067 + 0.792350i \(0.708857\pi\)
\(84\) 6.28917 8.79069i 0.686205 0.959143i
\(85\) 0.122152 0.455878i 0.0132492 0.0494469i
\(86\) −0.112560 + 0.420078i −0.0121376 + 0.0452982i
\(87\) 3.92917i 0.421251i
\(88\) 26.5237 15.3134i 2.82743 1.63242i
\(89\) 3.02064 3.02064i 0.320187 0.320187i −0.528652 0.848839i \(-0.677302\pi\)
0.848839 + 0.528652i \(0.177302\pi\)
\(90\) −1.24755 −0.131504
\(91\) −1.82802 9.36260i −0.191629 0.981467i
\(92\) −33.1904 −3.46034
\(93\) −1.74028 + 1.74028i −0.180459 + 0.180459i
\(94\) 3.66782 2.11762i 0.378307 0.218416i
\(95\) 4.01211i 0.411634i
\(96\) −0.222595 + 0.830735i −0.0227185 + 0.0847865i
\(97\) −0.856967 + 3.19825i −0.0870119 + 0.324733i −0.995688 0.0927700i \(-0.970428\pi\)
0.908676 + 0.417503i \(0.137095\pi\)
\(98\) 1.15567 + 17.2292i 0.116741 + 1.74041i
\(99\) 4.20987 + 4.20987i 0.423108 + 0.423108i
\(100\) 9.69091 16.7852i 0.969091 1.67852i
\(101\) 2.23693 + 3.87447i 0.222583 + 0.385524i 0.955591 0.294695i \(-0.0952180\pi\)
−0.733009 + 0.680219i \(0.761885\pi\)
\(102\) 0.595836 2.22369i 0.0589965 0.220178i
\(103\) 2.07621 + 3.59610i 0.204575 + 0.354335i 0.949997 0.312258i \(-0.101085\pi\)
−0.745422 + 0.666593i \(0.767752\pi\)
\(104\) 9.72678 + 15.7927i 0.953789 + 1.54860i
\(105\) 1.03366 0.849626i 0.100875 0.0829150i
\(106\) −0.958675 3.57782i −0.0931148 0.347509i
\(107\) 9.43055 0.911686 0.455843 0.890060i \(-0.349338\pi\)
0.455843 + 0.890060i \(0.349338\pi\)
\(108\) −4.08534 −0.393112
\(109\) 1.78152 + 6.64872i 0.170638 + 0.636832i 0.997254 + 0.0740637i \(0.0235968\pi\)
−0.826615 + 0.562768i \(0.809737\pi\)
\(110\) 7.17442 1.92238i 0.684054 0.183292i
\(111\) 1.17389 + 0.314544i 0.111421 + 0.0298552i
\(112\) −4.94304 10.8874i −0.467074 1.02876i
\(113\) −2.13688 3.70118i −0.201020 0.348178i 0.747837 0.663882i \(-0.231092\pi\)
−0.948857 + 0.315705i \(0.897759\pi\)
\(114\) 19.5704i 1.83293i
\(115\) −3.96867 1.06340i −0.370080 0.0991627i
\(116\) −13.9014 8.02599i −1.29072 0.745195i
\(117\) −2.47600 + 2.62096i −0.228906 + 0.242308i
\(118\) 10.5712i 0.973160i
\(119\) 1.02073 + 2.24823i 0.0935698 + 0.206095i
\(120\) −1.30079 + 2.25303i −0.118745 + 0.205672i
\(121\) −21.1709 12.2230i −1.92462 1.11118i
\(122\) −18.5651 + 4.97451i −1.68081 + 0.450371i
\(123\) 5.74636 5.74636i 0.518132 0.518132i
\(124\) 2.60231 + 9.71194i 0.233694 + 0.872158i
\(125\) 3.48457 3.48457i 0.311670 0.311670i
\(126\) 5.04202 4.14432i 0.449179 0.369206i
\(127\) 9.06211 + 5.23201i 0.804132 + 0.464266i 0.844914 0.534902i \(-0.179652\pi\)
−0.0407820 + 0.999168i \(0.512985\pi\)
\(128\) −13.2819 13.2819i −1.17396 1.17396i
\(129\) −0.0881483 + 0.152677i −0.00776103 + 0.0134425i
\(130\) 1.28725 + 4.30999i 0.112899 + 0.378011i
\(131\) −13.7862 + 7.95947i −1.20451 + 0.695422i −0.961554 0.274617i \(-0.911449\pi\)
−0.242952 + 0.970038i \(0.578116\pi\)
\(132\) 23.4939 6.29518i 2.04488 0.547925i
\(133\) −13.3281 16.2151i −1.15569 1.40603i
\(134\) −16.3070 + 9.41486i −1.40871 + 0.813320i
\(135\) −0.488495 0.130892i −0.0420430 0.0112654i
\(136\) −3.39463 3.39463i −0.291087 0.291087i
\(137\) −13.6514 13.6514i −1.16631 1.16631i −0.983067 0.183247i \(-0.941339\pi\)
−0.183247 0.983067i \(-0.558661\pi\)
\(138\) −19.3585 5.18708i −1.64790 0.441554i
\(139\) −6.10481 + 3.52462i −0.517804 + 0.298954i −0.736036 0.676943i \(-0.763304\pi\)
0.218232 + 0.975897i \(0.429971\pi\)
\(140\) −0.894551 5.39261i −0.0756034 0.455759i
\(141\) 1.65836 0.444356i 0.139659 0.0374216i
\(142\) 14.4803 8.36022i 1.21516 0.701574i
\(143\) 10.2002 18.8879i 0.852987 1.57949i
\(144\) −2.25966 + 3.91384i −0.188305 + 0.326154i
\(145\) −1.40508 1.40508i −0.116686 0.116686i
\(146\) −27.0651 15.6260i −2.23992 1.29322i
\(147\) −1.35515 + 6.86757i −0.111771 + 0.566428i
\(148\) 3.51074 3.51074i 0.288581 0.288581i
\(149\) 3.76840 + 14.0639i 0.308720 + 1.15216i 0.929696 + 0.368328i \(0.120070\pi\)
−0.620976 + 0.783829i \(0.713264\pi\)
\(150\) 8.27550 8.27550i 0.675691 0.675691i
\(151\) −4.94839 + 1.32592i −0.402694 + 0.107902i −0.454481 0.890757i \(-0.650175\pi\)
0.0517866 + 0.998658i \(0.483508\pi\)
\(152\) 35.3432 + 20.4054i 2.86672 + 1.65510i
\(153\) 0.466614 0.808199i 0.0377235 0.0653390i
\(154\) −22.6095 + 31.6025i −1.82193 + 2.54660i
\(155\) 1.24466i 0.0999735i
\(156\) 4.21534 + 14.1139i 0.337497 + 1.13001i
\(157\) 0.998876 + 0.576701i 0.0797190 + 0.0460258i 0.539330 0.842095i \(-0.318678\pi\)
−0.459611 + 0.888121i \(0.652011\pi\)
\(158\) 22.1156 + 5.92585i 1.75942 + 0.471435i
\(159\) 1.50153i 0.119079i
\(160\) 0.217473 + 0.376674i 0.0171927 + 0.0297787i
\(161\) 19.5721 8.88599i 1.54249 0.700314i
\(162\) −2.38279 0.638467i −0.187210 0.0501627i
\(163\) −13.2155 + 3.54108i −1.03512 + 0.277359i −0.736089 0.676885i \(-0.763329\pi\)
−0.299029 + 0.954244i \(0.596663\pi\)
\(164\) −8.59276 32.0686i −0.670982 2.50414i
\(165\) 3.01093 0.234400
\(166\) 5.79354 0.449666
\(167\) −0.561041 2.09383i −0.0434146 0.162026i 0.940815 0.338920i \(-0.110062\pi\)
−0.984230 + 0.176894i \(0.943395\pi\)
\(168\) −2.22730 13.4268i −0.171840 1.03590i
\(169\) 11.6096 + 5.84960i 0.893044 + 0.449970i
\(170\) −0.582126 1.00827i −0.0446470 0.0773309i
\(171\) −2.05330 + 7.66303i −0.157020 + 0.586006i
\(172\) 0.360116 + 0.623739i 0.0274586 + 0.0475596i
\(173\) 1.38571 2.40012i 0.105354 0.182478i −0.808529 0.588456i \(-0.799736\pi\)
0.913883 + 0.405978i \(0.133069\pi\)
\(174\) −6.85375 6.85375i −0.519581 0.519581i
\(175\) −1.22079 + 12.4926i −0.0922828 + 0.944350i
\(176\) 6.96390 25.9896i 0.524924 1.95904i
\(177\) −1.10912 + 4.13930i −0.0833666 + 0.311128i
\(178\) 10.5380i 0.789854i
\(179\) 7.91226 4.56814i 0.591390 0.341439i −0.174257 0.984700i \(-0.555752\pi\)
0.765647 + 0.643261i \(0.222419\pi\)
\(180\) −1.46093 + 1.46093i −0.108891 + 0.108891i
\(181\) 12.3155 0.915405 0.457703 0.889105i \(-0.348672\pi\)
0.457703 + 0.889105i \(0.348672\pi\)
\(182\) −19.5201 13.1428i −1.44693 0.974206i
\(183\) −7.79133 −0.575952
\(184\) −29.5521 + 29.5521i −2.17861 + 2.17861i
\(185\) 0.532271 0.307307i 0.0391333 0.0225936i
\(186\) 6.07123i 0.445164i
\(187\) −1.43803 + 5.36680i −0.105159 + 0.392459i
\(188\) 1.81535 6.77497i 0.132398 0.494115i
\(189\) 2.40909 1.09376i 0.175235 0.0795592i
\(190\) 6.99843 + 6.99843i 0.507720 + 0.507720i
\(191\) 0.267357 0.463075i 0.0193452 0.0335069i −0.856191 0.516660i \(-0.827175\pi\)
0.875536 + 0.483153i \(0.160509\pi\)
\(192\) −3.45852 5.99034i −0.249597 0.432315i
\(193\) −1.74626 + 6.51711i −0.125698 + 0.469112i −0.999864 0.0165163i \(-0.994742\pi\)
0.874165 + 0.485628i \(0.161409\pi\)
\(194\) 4.08395 + 7.07361i 0.293211 + 0.507856i
\(195\) 0.0518399 + 1.82269i 0.00371233 + 0.130526i
\(196\) 21.5294 + 18.8227i 1.53781 + 1.34448i
\(197\) −0.252665 0.942958i −0.0180016 0.0671830i 0.956341 0.292254i \(-0.0944053\pi\)
−0.974342 + 0.225071i \(0.927739\pi\)
\(198\) 14.6868 1.04374
\(199\) −15.1705 −1.07541 −0.537703 0.843134i \(-0.680708\pi\)
−0.537703 + 0.843134i \(0.680708\pi\)
\(200\) −6.31658 23.5738i −0.446650 1.66692i
\(201\) −7.37302 + 1.97559i −0.520052 + 0.139348i
\(202\) 10.6603 + 2.85641i 0.750053 + 0.200976i
\(203\) 10.3463 + 1.01105i 0.726169 + 0.0709620i
\(204\) −1.90628 3.30177i −0.133466 0.231170i
\(205\) 4.10984i 0.287044i
\(206\) 9.89436 + 2.65119i 0.689373 + 0.184717i
\(207\) −7.03583 4.06214i −0.489024 0.282338i
\(208\) 15.8529 + 3.76819i 1.09920 + 0.261277i
\(209\) 47.2324i 3.26714i
\(210\) 0.321020 3.28507i 0.0221525 0.226691i
\(211\) 10.0981 17.4904i 0.695180 1.20409i −0.274940 0.961461i \(-0.588658\pi\)
0.970120 0.242626i \(-0.0780088\pi\)
\(212\) −5.31241 3.06712i −0.364858 0.210651i
\(213\) 6.54710 1.75429i 0.448600 0.120202i
\(214\) 16.4500 16.4500i 1.12450 1.12450i
\(215\) 0.0230758 + 0.0861201i 0.00157376 + 0.00587334i
\(216\) −3.63751 + 3.63751i −0.247501 + 0.247501i
\(217\) −4.13471 5.03033i −0.280683 0.341481i
\(218\) 14.7051 + 8.48998i 0.995953 + 0.575014i
\(219\) −8.95821 8.95821i −0.605340 0.605340i
\(220\) 6.15033 10.6527i 0.414655 0.718204i
\(221\) −3.27359 0.778121i −0.220206 0.0523421i
\(222\) 2.59632 1.49899i 0.174254 0.100605i
\(223\) 18.5472 4.96970i 1.24201 0.332796i 0.422765 0.906239i \(-0.361059\pi\)
0.819245 + 0.573444i \(0.194393\pi\)
\(224\) −2.13022 0.799903i −0.142331 0.0534457i
\(225\) 4.10863 2.37212i 0.273909 0.158141i
\(226\) −10.1835 2.72865i −0.677394 0.181507i
\(227\) 15.5280 + 15.5280i 1.03063 + 1.03063i 0.999516 + 0.0311110i \(0.00990453\pi\)
0.0311110 + 0.999516i \(0.490095\pi\)
\(228\) 22.9176 + 22.9176i 1.51776 + 1.51776i
\(229\) 25.3854 + 6.80200i 1.67751 + 0.449489i 0.967121 0.254316i \(-0.0818503\pi\)
0.710394 + 0.703805i \(0.248517\pi\)
\(230\) −8.77757 + 5.06773i −0.578776 + 0.334156i
\(231\) −12.1687 + 10.0022i −0.800645 + 0.658095i
\(232\) −19.5238 + 5.23138i −1.28180 + 0.343457i
\(233\) −8.80891 + 5.08583i −0.577091 + 0.333184i −0.759976 0.649951i \(-0.774790\pi\)
0.182886 + 0.983134i \(0.441456\pi\)
\(234\) 0.252866 + 8.89075i 0.0165304 + 0.581207i
\(235\) 0.434132 0.751939i 0.0283197 0.0490511i
\(236\) 12.3793 + 12.3793i 0.805823 + 0.805823i
\(237\) 8.03790 + 4.64069i 0.522118 + 0.301445i
\(238\) 5.70212 + 2.14116i 0.369613 + 0.138791i
\(239\) −0.836974 + 0.836974i −0.0541394 + 0.0541394i −0.733658 0.679519i \(-0.762189\pi\)
0.679519 + 0.733658i \(0.262189\pi\)
\(240\) 0.591542 + 2.20767i 0.0381839 + 0.142504i
\(241\) −9.04828 + 9.04828i −0.582851 + 0.582851i −0.935686 0.352835i \(-0.885218\pi\)
0.352835 + 0.935686i \(0.385218\pi\)
\(242\) −58.2498 + 15.6080i −3.74444 + 1.00332i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −15.9151 + 27.5658i −1.01886 + 1.76472i
\(245\) 1.97126 + 2.94047i 0.125939 + 0.187860i
\(246\) 20.0471i 1.27815i
\(247\) 28.5925 0.813213i 1.81930 0.0517435i
\(248\) 10.9644 + 6.33028i 0.696239 + 0.401973i
\(249\) 2.26853 + 0.607852i 0.143763 + 0.0385211i
\(250\) 12.1565i 0.768842i
\(251\) 7.87428 + 13.6386i 0.497020 + 0.860864i 0.999994 0.00343776i \(-0.00109428\pi\)
−0.502974 + 0.864301i \(0.667761\pi\)
\(252\) 1.05124 10.7575i 0.0662218 0.677662i
\(253\) 46.7210 + 12.5188i 2.93732 + 0.787053i
\(254\) 24.9336 6.68093i 1.56447 0.419199i
\(255\) −0.122152 0.455878i −0.00764946 0.0285482i
\(256\) −32.5017 −2.03135
\(257\) −13.0956 −0.816883 −0.408442 0.912784i \(-0.633928\pi\)
−0.408442 + 0.912784i \(0.633928\pi\)
\(258\) 0.112560 + 0.420078i 0.00700766 + 0.0261529i
\(259\) −1.13033 + 3.01017i −0.0702350 + 0.187043i
\(260\) 6.55458 + 3.53974i 0.406498 + 0.219526i
\(261\) −1.96458 3.40276i −0.121605 0.210626i
\(262\) −10.1637 + 37.9315i −0.627917 + 2.34342i
\(263\) 5.02804 + 8.70882i 0.310042 + 0.537009i 0.978371 0.206857i \(-0.0663235\pi\)
−0.668329 + 0.743866i \(0.732990\pi\)
\(264\) 15.3134 26.5237i 0.942477 1.63242i
\(265\) −0.536951 0.536951i −0.0329846 0.0329846i
\(266\) −51.5329 5.03584i −3.15968 0.308767i
\(267\) 1.10563 4.12627i 0.0676636 0.252524i
\(268\) −8.07097 + 30.1213i −0.493013 + 1.83995i
\(269\) 29.3765i 1.79112i −0.444942 0.895559i \(-0.646776\pi\)
0.444942 0.895559i \(-0.353224\pi\)
\(270\) −1.08041 + 0.623777i −0.0657518 + 0.0379618i
\(271\) 1.15041 1.15041i 0.0698825 0.0698825i −0.671302 0.741184i \(-0.734265\pi\)
0.741184 + 0.671302i \(0.234265\pi\)
\(272\) −4.21755 −0.255727
\(273\) −6.26442 7.19424i −0.379140 0.435415i
\(274\) −47.6248 −2.87712
\(275\) −19.9726 + 19.9726i −1.20440 + 1.20440i
\(276\) −28.7437 + 16.5952i −1.73017 + 0.998914i
\(277\) 30.7313i 1.84647i 0.384239 + 0.923233i \(0.374464\pi\)
−0.384239 + 0.923233i \(0.625536\pi\)
\(278\) −4.50070 + 16.7969i −0.269934 + 1.00741i
\(279\) −0.636987 + 2.37727i −0.0381354 + 0.142323i
\(280\) −5.59797 4.00499i −0.334543 0.239344i
\(281\) −3.89852 3.89852i −0.232566 0.232566i 0.581197 0.813763i \(-0.302585\pi\)
−0.813763 + 0.581197i \(0.802585\pi\)
\(282\) 2.11762 3.66782i 0.126102 0.218416i
\(283\) −3.66949 6.35574i −0.218128 0.377809i 0.736107 0.676865i \(-0.236662\pi\)
−0.954236 + 0.299055i \(0.903328\pi\)
\(284\) 7.16687 26.7471i 0.425276 1.58715i
\(285\) 2.00606 + 3.47459i 0.118829 + 0.205817i
\(286\) −15.1541 50.7392i −0.896081 3.00027i
\(287\) 13.6527 + 16.6100i 0.805895 + 0.980459i
\(288\) 0.222595 + 0.830735i 0.0131165 + 0.0489515i
\(289\) −16.1291 −0.948770
\(290\) −4.90185 −0.287846
\(291\) 0.856967 + 3.19825i 0.0502363 + 0.187484i
\(292\) −49.9929 + 13.3955i −2.92561 + 0.783915i
\(293\) 21.1201 + 5.65910i 1.23385 + 0.330608i 0.816076 0.577944i \(-0.196145\pi\)
0.417771 + 0.908552i \(0.362812\pi\)
\(294\) 9.61545 + 14.3431i 0.560785 + 0.836507i
\(295\) 1.08360 + 1.87685i 0.0630897 + 0.109275i
\(296\) 6.25179i 0.363378i
\(297\) 5.75079 + 1.54092i 0.333695 + 0.0894132i
\(298\) 31.1053 + 17.9586i 1.80188 + 1.04032i
\(299\) −6.77398 + 28.4985i −0.391749 + 1.64811i
\(300\) 19.3818i 1.11901i
\(301\) −0.379349 0.271400i −0.0218653 0.0156432i
\(302\) −6.31877 + 10.9444i −0.363604 + 0.629781i
\(303\) 3.87447 + 2.23693i 0.222583 + 0.128508i
\(304\) 34.6317 9.27953i 1.98626 0.532217i
\(305\) −2.78621 + 2.78621i −0.159538 + 0.159538i
\(306\) −0.595836 2.22369i −0.0340617 0.127120i
\(307\) 2.37972 2.37972i 0.135818 0.135818i −0.635929 0.771747i \(-0.719383\pi\)
0.771747 + 0.635929i \(0.219383\pi\)
\(308\) 10.5311 + 63.4843i 0.600063 + 3.61735i
\(309\) 3.59610 + 2.07621i 0.204575 + 0.118112i
\(310\) 2.17109 + 2.17109i 0.123310 + 0.123310i
\(311\) 6.25768 10.8386i 0.354841 0.614602i −0.632250 0.774764i \(-0.717868\pi\)
0.987091 + 0.160162i \(0.0512018\pi\)
\(312\) 16.3200 + 8.81345i 0.923936 + 0.498963i
\(313\) 8.39852 4.84889i 0.474713 0.274075i −0.243498 0.969901i \(-0.578295\pi\)
0.718210 + 0.695826i \(0.244962\pi\)
\(314\) 2.74832 0.736410i 0.155097 0.0415580i
\(315\) 0.470365 1.25263i 0.0265021 0.0705776i
\(316\) 32.8376 18.9588i 1.84726 1.06651i
\(317\) −22.5235 6.03514i −1.26504 0.338967i −0.436913 0.899504i \(-0.643928\pi\)
−0.828130 + 0.560536i \(0.810595\pi\)
\(318\) −2.61915 2.61915i −0.146875 0.146875i
\(319\) 16.5413 + 16.5413i 0.926135 + 0.926135i
\(320\) −3.37895 0.905386i −0.188889 0.0506126i
\(321\) 8.16710 4.71528i 0.455843 0.263181i
\(322\) 18.6400 49.6401i 1.03877 2.76633i
\(323\) −7.15135 + 1.91620i −0.397912 + 0.106620i
\(324\) −3.53801 + 2.04267i −0.196556 + 0.113482i
\(325\) −12.4345 11.7467i −0.689740 0.651591i
\(326\) −16.8753 + 29.2289i −0.934638 + 1.61884i
\(327\) 4.86720 + 4.86720i 0.269157 + 0.269157i
\(328\) −36.2041 20.9025i −1.99904 1.15414i
\(329\) 0.743354 + 4.48115i 0.0409824 + 0.247054i
\(330\) 5.25204 5.25204i 0.289115 0.289115i
\(331\) 6.22017 + 23.2140i 0.341892 + 1.27596i 0.896202 + 0.443647i \(0.146315\pi\)
−0.554310 + 0.832310i \(0.687018\pi\)
\(332\) 6.78445 6.78445i 0.372345 0.372345i
\(333\) 1.17389 0.314544i 0.0643290 0.0172369i
\(334\) −4.63096 2.67369i −0.253395 0.146298i
\(335\) −1.93014 + 3.34309i −0.105455 + 0.182653i
\(336\) −9.72451 6.95726i −0.530516 0.379550i
\(337\) 6.92235i 0.377085i 0.982065 + 0.188542i \(0.0603762\pi\)
−0.982065 + 0.188542i \(0.939624\pi\)
\(338\) 30.4545 10.0473i 1.65651 0.546499i
\(339\) −3.70118 2.13688i −0.201020 0.116059i
\(340\) −1.86241 0.499032i −0.101004 0.0270638i
\(341\) 14.6527i 0.793489i
\(342\) 9.78519 + 16.9484i 0.529122 + 0.916467i
\(343\) −17.7350 5.33556i −0.957602 0.288093i
\(344\) 0.876006 + 0.234725i 0.0472311 + 0.0126555i
\(345\) −3.96867 + 1.06340i −0.213666 + 0.0572516i
\(346\) −1.76946 6.60373i −0.0951270 0.355019i
\(347\) 27.6471 1.48418 0.742088 0.670302i \(-0.233835\pi\)
0.742088 + 0.670302i \(0.233835\pi\)
\(348\) −16.0520 −0.860477
\(349\) −1.89736 7.08103i −0.101563 0.379039i 0.896369 0.443308i \(-0.146195\pi\)
−0.997933 + 0.0642689i \(0.979528\pi\)
\(350\) 19.6617 + 23.9206i 1.05096 + 1.27861i
\(351\) −0.833795 + 3.50782i −0.0445047 + 0.187233i
\(352\) −2.56019 4.43438i −0.136459 0.236353i
\(353\) 6.64590 24.8028i 0.353725 1.32012i −0.528355 0.849023i \(-0.677191\pi\)
0.882081 0.471098i \(-0.156142\pi\)
\(354\) 5.28561 + 9.15494i 0.280927 + 0.486580i
\(355\) 1.71393 2.96861i 0.0909657 0.157557i
\(356\) −12.3403 12.3403i −0.654037 0.654037i
\(357\) 2.00809 + 1.43666i 0.106279 + 0.0760360i
\(358\) 5.83322 21.7699i 0.308295 1.15057i
\(359\) 0.592674 2.21189i 0.0312801 0.116739i −0.948521 0.316716i \(-0.897420\pi\)
0.979801 + 0.199977i \(0.0640866\pi\)
\(360\) 2.60157i 0.137115i
\(361\) 38.0515 21.9690i 2.00271 1.15626i
\(362\) 21.4823 21.4823i 1.12908 1.12908i
\(363\) −24.4460 −1.28308
\(364\) −38.2494 + 7.46809i −2.00481 + 0.391434i
\(365\) −6.40697 −0.335356
\(366\) −13.5906 + 13.5906i −0.710393 + 0.710393i
\(367\) 23.3720 13.4938i 1.22001 0.704371i 0.255088 0.966918i \(-0.417896\pi\)
0.964919 + 0.262547i \(0.0845624\pi\)
\(368\) 36.7162i 1.91396i
\(369\) 2.10332 7.84968i 0.109494 0.408638i
\(370\) 0.392410 1.46450i 0.0204004 0.0761355i
\(371\) 3.95383 + 0.386372i 0.205273 + 0.0200595i
\(372\) 7.10963 + 7.10963i 0.368617 + 0.368617i
\(373\) 8.38541 14.5240i 0.434180 0.752022i −0.563048 0.826424i \(-0.690371\pi\)
0.997228 + 0.0744019i \(0.0237048\pi\)
\(374\) 6.85305 + 11.8698i 0.354363 + 0.613774i
\(375\) 1.27544 4.76002i 0.0658636 0.245806i
\(376\) −4.41595 7.64865i −0.227735 0.394449i
\(377\) −9.72861 + 10.2982i −0.501049 + 0.530384i
\(378\) 2.29436 6.11010i 0.118009 0.314270i
\(379\) −6.13097 22.8811i −0.314927 1.17532i −0.924058 0.382253i \(-0.875148\pi\)
0.609131 0.793070i \(-0.291518\pi\)
\(380\) 16.3908 0.840833
\(381\) 10.4640 0.536088
\(382\) −0.341397 1.27411i −0.0174674 0.0651892i
\(383\) 19.3985 5.19780i 0.991215 0.265595i 0.273454 0.961885i \(-0.411834\pi\)
0.717761 + 0.696290i \(0.245167\pi\)
\(384\) −18.1434 4.86150i −0.925874 0.248087i
\(385\) −0.774771 + 7.92840i −0.0394860 + 0.404069i
\(386\) 8.32193 + 14.4140i 0.423575 + 0.733653i
\(387\) 0.176297i 0.00896166i
\(388\) 13.0659 + 3.50100i 0.663321 + 0.177736i
\(389\) −28.3573 16.3721i −1.43777 0.830099i −0.440078 0.897959i \(-0.645049\pi\)
−0.997695 + 0.0678608i \(0.978383\pi\)
\(390\) 3.26979 + 3.08894i 0.165572 + 0.156414i
\(391\) 7.58180i 0.383428i
\(392\) 35.9288 2.40997i 1.81468 0.121722i
\(393\) −7.95947 + 13.7862i −0.401502 + 0.695422i
\(394\) −2.08555 1.20410i −0.105069 0.0606614i
\(395\) 4.53391 1.21486i 0.228126 0.0611261i
\(396\) 17.1987 17.1987i 0.864270 0.864270i
\(397\) −0.946584 3.53270i −0.0475077 0.177301i 0.938095 0.346377i \(-0.112588\pi\)
−0.985603 + 0.169076i \(0.945922\pi\)
\(398\) −26.4622 + 26.4622i −1.32643 + 1.32643i
\(399\) −19.6500 7.37862i −0.983730 0.369393i
\(400\) −18.5682 10.7204i −0.928411 0.536018i
\(401\) −3.97864 3.97864i −0.198684 0.198684i 0.600752 0.799436i \(-0.294868\pi\)
−0.799436 + 0.600752i \(0.794868\pi\)
\(402\) −9.41486 + 16.3070i −0.469570 + 0.813320i
\(403\) 8.87014 0.252279i 0.441853 0.0125669i
\(404\) 15.8285 9.13860i 0.787499 0.454663i
\(405\) −0.488495 + 0.130892i −0.0242735 + 0.00650407i
\(406\) 19.8110 16.2837i 0.983201 0.808149i
\(407\) −6.26613 + 3.61775i −0.310601 + 0.179325i
\(408\) −4.63714 1.24252i −0.229573 0.0615139i
\(409\) −7.22691 7.22691i −0.357348 0.357348i 0.505487 0.862834i \(-0.331313\pi\)
−0.862834 + 0.505487i \(0.831313\pi\)
\(410\) −7.16890 7.16890i −0.354047 0.354047i
\(411\) −18.6481 4.99674i −0.919843 0.246471i
\(412\) 14.6913 8.48202i 0.723788 0.417879i
\(413\) −10.6142 3.98567i −0.522292 0.196122i
\(414\) −19.3585 + 5.18708i −0.951416 + 0.254931i
\(415\) 1.02861 0.593866i 0.0504923 0.0291517i
\(416\) 2.64031 1.62618i 0.129452 0.0797300i
\(417\) −3.52462 + 6.10481i −0.172601 + 0.298954i
\(418\) −82.3887 82.3887i −4.02976 4.02976i
\(419\) −12.7783 7.37756i −0.624261 0.360417i 0.154265 0.988029i \(-0.450699\pi\)
−0.778526 + 0.627612i \(0.784032\pi\)
\(420\) −3.47101 4.22286i −0.169368 0.206055i
\(421\) −15.6726 + 15.6726i −0.763838 + 0.763838i −0.977014 0.213176i \(-0.931619\pi\)
0.213176 + 0.977014i \(0.431619\pi\)
\(422\) −12.8946 48.1232i −0.627698 2.34260i
\(423\) 1.21400 1.21400i 0.0590269 0.0590269i
\(424\) −7.46098 + 1.99916i −0.362337 + 0.0970879i
\(425\) 3.83429 + 2.21373i 0.185990 + 0.107382i
\(426\) 8.36022 14.4803i 0.405054 0.701574i
\(427\) 2.00486 20.5162i 0.0970222 0.992849i
\(428\) 38.5270i 1.86227i
\(429\) −0.610283 21.4575i −0.0294648 1.03598i
\(430\) 0.190473 + 0.109970i 0.00918543 + 0.00530321i
\(431\) −24.3888 6.53496i −1.17477 0.314778i −0.381918 0.924196i \(-0.624736\pi\)
−0.792849 + 0.609418i \(0.791403\pi\)
\(432\) 4.51932i 0.217436i
\(433\) 12.7247 + 22.0399i 0.611512 + 1.05917i 0.990986 + 0.133967i \(0.0427717\pi\)
−0.379474 + 0.925203i \(0.623895\pi\)
\(434\) −15.9868 1.56225i −0.767391 0.0749903i
\(435\) −1.91938 0.514297i −0.0920273 0.0246586i
\(436\) 27.1623 7.27811i 1.30084 0.348558i
\(437\) 16.6816 + 62.2565i 0.797989 + 2.97813i
\(438\) −31.2521 −1.49328
\(439\) −12.5999 −0.601362 −0.300681 0.953725i \(-0.597214\pi\)
−0.300681 + 0.953725i \(0.597214\pi\)
\(440\) −4.00881 14.9611i −0.191113 0.713242i
\(441\) 2.26019 + 6.62507i 0.107628 + 0.315479i
\(442\) −7.06751 + 4.35292i −0.336167 + 0.207047i
\(443\) −5.24317 9.08144i −0.249111 0.431472i 0.714169 0.699974i \(-0.246805\pi\)
−0.963279 + 0.268501i \(0.913472\pi\)
\(444\) 1.28502 4.79576i 0.0609843 0.227596i
\(445\) −1.08019 1.87095i −0.0512060 0.0886914i
\(446\) 23.6835 41.0211i 1.12145 1.94240i
\(447\) 10.2955 + 10.2955i 0.486959 + 0.486959i
\(448\) 16.6638 7.56558i 0.787288 0.357440i
\(449\) −1.45535 + 5.43146i −0.0686824 + 0.256326i −0.991727 0.128368i \(-0.959026\pi\)
0.923044 + 0.384694i \(0.125693\pi\)
\(450\) 3.02904 11.3045i 0.142790 0.532901i
\(451\) 48.3829i 2.27826i
\(452\) −15.1206 + 8.72987i −0.711212 + 0.410618i
\(453\) −3.62247 + 3.62247i −0.170199 + 0.170199i
\(454\) 54.1716 2.54240
\(455\) −4.81286 0.332509i −0.225630 0.0155883i
\(456\) 40.8109 1.91114
\(457\) 8.37852 8.37852i 0.391930 0.391930i −0.483445 0.875375i \(-0.660615\pi\)
0.875375 + 0.483445i \(0.160615\pi\)
\(458\) 56.1453 32.4155i 2.62350 1.51468i
\(459\) 0.933228i 0.0435594i
\(460\) −4.34436 + 16.2134i −0.202557 + 0.755952i
\(461\) −2.12757 + 7.94019i −0.0990907 + 0.369812i −0.997608 0.0691268i \(-0.977979\pi\)
0.898517 + 0.438938i \(0.144645\pi\)
\(462\) −3.77919 + 38.6733i −0.175824 + 1.79925i
\(463\) −21.3807 21.3807i −0.993646 0.993646i 0.00633382 0.999980i \(-0.497984\pi\)
−0.999980 + 0.00633382i \(0.997984\pi\)
\(464\) −8.87858 + 15.3782i −0.412178 + 0.713913i
\(465\) 0.622330 + 1.07791i 0.0288599 + 0.0499868i
\(466\) −6.49427 + 24.2369i −0.300841 + 1.12275i
\(467\) 14.3612 + 24.8744i 0.664559 + 1.15105i 0.979405 + 0.201907i \(0.0647139\pi\)
−0.314846 + 0.949143i \(0.601953\pi\)
\(468\) 10.7075 + 10.1153i 0.494955 + 0.467579i
\(469\) −3.30493 19.9230i −0.152607 0.919961i
\(470\) −0.554358 2.06889i −0.0255706 0.0954309i
\(471\) 1.15340 0.0531460
\(472\) 22.0446 1.01468
\(473\) −0.271659 1.01384i −0.0124909 0.0466166i
\(474\) 22.1156 5.92585i 1.01580 0.272183i
\(475\) −36.3552 9.74136i −1.66809 0.446964i
\(476\) 9.18477 4.17001i 0.420983 0.191132i
\(477\) −0.750763 1.30036i −0.0343751 0.0595394i
\(478\) 2.91991i 0.133554i
\(479\) 16.5106 + 4.42401i 0.754390 + 0.202138i 0.615464 0.788165i \(-0.288968\pi\)
0.138925 + 0.990303i \(0.455635\pi\)
\(480\) 0.376674 + 0.217473i 0.0171927 + 0.00992624i
\(481\) −2.29792 3.73097i −0.104776 0.170117i
\(482\) 31.5663i 1.43780i
\(483\) 12.5069 17.4815i 0.569084 0.795437i
\(484\) −49.9351 + 86.4902i −2.26978 + 3.93137i
\(485\) 1.45016 + 0.837249i 0.0658483 + 0.0380175i
\(486\) −2.38279 + 0.638467i −0.108086 + 0.0289615i
\(487\) −10.7094 + 10.7094i −0.485290 + 0.485290i −0.906816 0.421526i \(-0.861494\pi\)
0.421526 + 0.906816i \(0.361494\pi\)
\(488\) 10.3735 + 38.7146i 0.469588 + 1.75253i
\(489\) −9.67442 + 9.67442i −0.437492 + 0.437492i
\(490\) 8.56766 + 1.69063i 0.387048 + 0.0763747i
\(491\) 4.15520 + 2.39900i 0.187521 + 0.108266i 0.590822 0.806802i \(-0.298804\pi\)
−0.403300 + 0.915068i \(0.632137\pi\)
\(492\) −23.4758 23.4758i −1.05837 1.05837i
\(493\) 1.83341 3.17555i 0.0825724 0.143020i
\(494\) 48.4562 51.2932i 2.18015 2.30779i
\(495\) 2.60754 1.50546i 0.117200 0.0676656i
\(496\) 10.7436 2.87875i 0.482403 0.129259i
\(497\) 2.93471 + 17.6913i 0.131640 + 0.793563i
\(498\) 5.01735 2.89677i 0.224833 0.129807i
\(499\) −14.5993 3.91188i −0.653556 0.175120i −0.0832201 0.996531i \(-0.526520\pi\)
−0.570336 + 0.821411i \(0.693187\pi\)
\(500\) −14.2357 14.2357i −0.636638 0.636638i
\(501\) −1.53279 1.53279i −0.0684801 0.0684801i
\(502\) 37.5255 + 10.0549i 1.67485 + 0.448774i
\(503\) −13.9638 + 8.06201i −0.622615 + 0.359467i −0.777887 0.628405i \(-0.783708\pi\)
0.155271 + 0.987872i \(0.450375\pi\)
\(504\) −8.64232 10.5143i −0.384959 0.468345i
\(505\) 2.18546 0.585591i 0.0972515 0.0260585i
\(506\) 103.334 59.6596i 4.59373 2.65219i
\(507\) 12.9790 0.738880i 0.576417 0.0328148i
\(508\) 21.3745 37.0218i 0.948342 1.64258i
\(509\) −23.4399 23.4399i −1.03896 1.03896i −0.999210 0.0397455i \(-0.987345\pi\)
−0.0397455 0.999210i \(-0.512655\pi\)
\(510\) −1.00827 0.582126i −0.0446470 0.0257770i
\(511\) 25.8940 21.2837i 1.14548 0.941536i
\(512\) −30.1297 + 30.1297i −1.33156 + 1.33156i
\(513\) 2.05330 + 7.66303i 0.0906555 + 0.338331i
\(514\) −22.8430 + 22.8430i −1.00756 + 1.00756i
\(515\) 2.02844 0.543518i 0.0893837 0.0239503i
\(516\) 0.623739 + 0.360116i 0.0274586 + 0.0158532i
\(517\) −5.11080 + 8.85217i −0.224773 + 0.389318i
\(518\) 3.27906 + 7.22237i 0.144074 + 0.317333i
\(519\) 2.77142i 0.121652i
\(520\) 8.98780 2.68436i 0.394141 0.117717i
\(521\) −8.41886 4.86063i −0.368837 0.212948i 0.304113 0.952636i \(-0.401640\pi\)
−0.672950 + 0.739688i \(0.734973\pi\)
\(522\) −9.36239 2.50865i −0.409781 0.109800i
\(523\) 19.4487i 0.850434i 0.905091 + 0.425217i \(0.139802\pi\)
−0.905091 + 0.425217i \(0.860198\pi\)
\(524\) 32.5171 + 56.3213i 1.42052 + 2.46041i
\(525\) 5.18905 + 11.4293i 0.226469 + 0.498815i
\(526\) 23.9615 + 6.42047i 1.04477 + 0.279946i
\(527\) −2.21853 + 0.594454i −0.0966408 + 0.0258948i
\(528\) −6.96390 25.9896i −0.303065 1.13105i
\(529\) −43.0038 −1.86973
\(530\) −1.87323 −0.0813681
\(531\) 1.10912 + 4.13930i 0.0481317 + 0.179630i
\(532\) −66.2441 + 54.4498i −2.87204 + 2.36070i
\(533\) −29.2890 + 0.833021i −1.26865 + 0.0360821i
\(534\) −5.26898 9.12614i −0.228011 0.394927i
\(535\) 1.23438 4.60678i 0.0533671 0.199169i
\(536\) 19.6332 + 34.0057i 0.848024 + 1.46882i
\(537\) 4.56814 7.91226i 0.197130 0.341439i
\(538\) −51.2422 51.2422i −2.20921 2.20921i
\(539\) −23.2066 34.6166i −0.999578 1.49104i
\(540\) −0.534738 + 1.99567i −0.0230115 + 0.0858799i
\(541\) 2.74629 10.2493i 0.118072 0.440652i −0.881426 0.472322i \(-0.843416\pi\)
0.999498 + 0.0316700i \(0.0100826\pi\)
\(542\) 4.01338i 0.172389i
\(543\) 10.6656 6.15776i 0.457703 0.264255i
\(544\) −0.567533 + 0.567533i −0.0243328 + 0.0243328i
\(545\) 3.48105 0.149112
\(546\) −23.4763 1.62192i −1.00469 0.0694117i
\(547\) −23.4548 −1.00285 −0.501427 0.865200i \(-0.667192\pi\)
−0.501427 + 0.865200i \(0.667192\pi\)
\(548\) −55.7704 + 55.7704i −2.38239 + 2.38239i
\(549\) −6.74749 + 3.89567i −0.287976 + 0.166263i
\(550\) 69.6775i 2.97106i
\(551\) −8.06777 + 30.1093i −0.343699 + 1.28270i
\(552\) −10.8168 + 40.3689i −0.460395 + 1.71822i
\(553\) −14.2882 + 19.9713i −0.607596 + 0.849267i
\(554\) 53.6054 + 53.6054i 2.27748 + 2.27748i
\(555\) 0.307307 0.532271i 0.0130444 0.0225936i
\(556\) 14.3993 + 24.9402i 0.610664 + 1.05770i
\(557\) 5.18753 19.3601i 0.219803 0.820315i −0.764618 0.644484i \(-0.777072\pi\)
0.984420 0.175831i \(-0.0562612\pi\)
\(558\) 3.03561 + 5.25784i 0.128508 + 0.222582i
\(559\) 0.609062 0.181907i 0.0257606 0.00769383i
\(560\) −5.96546 + 0.989578i −0.252087 + 0.0418173i
\(561\) 1.43803 + 5.36680i 0.0607136 + 0.226586i
\(562\) −13.6006 −0.573706
\(563\) −45.7544 −1.92832 −0.964159 0.265327i \(-0.914520\pi\)
−0.964159 + 0.265327i \(0.914520\pi\)
\(564\) −1.81535 6.77497i −0.0764399 0.285278i
\(565\) −2.08771 + 0.559400i −0.0878306 + 0.0235341i
\(566\) −17.4872 4.68569i −0.735044 0.196954i
\(567\) 1.53945 2.15177i 0.0646508 0.0903657i
\(568\) −17.4339 30.1964i −0.731510 1.26701i
\(569\) 24.1207i 1.01119i 0.862771 + 0.505595i \(0.168727\pi\)
−0.862771 + 0.505595i \(0.831273\pi\)
\(570\) 9.56004 + 2.56160i 0.400426 + 0.107294i
\(571\) −15.0931 8.71402i −0.631628 0.364671i 0.149754 0.988723i \(-0.452152\pi\)
−0.781382 + 0.624053i \(0.785485\pi\)
\(572\) −77.1635 41.6715i −3.22637 1.74237i
\(573\) 0.534713i 0.0223380i
\(574\) 52.7881 + 5.15850i 2.20333 + 0.215312i
\(575\) 19.2717 33.3796i 0.803687 1.39203i
\(576\) −5.99034 3.45852i −0.249597 0.144105i
\(577\) 21.0789 5.64807i 0.877525 0.235132i 0.208186 0.978089i \(-0.433244\pi\)
0.669339 + 0.742957i \(0.266577\pi\)
\(578\) −28.1344 + 28.1344i −1.17024 + 1.17024i
\(579\) 1.74626 + 6.51711i 0.0725719 + 0.270842i
\(580\) −5.74025 + 5.74025i −0.238351 + 0.238351i
\(581\) −2.18434 + 5.81711i −0.0906217 + 0.241334i
\(582\) 7.07361 + 4.08395i 0.293211 + 0.169285i
\(583\) 6.32123 + 6.32123i 0.261799 + 0.261799i
\(584\) −32.5856 + 56.4399i −1.34840 + 2.33550i
\(585\) 0.956240 + 1.55258i 0.0395356 + 0.0641911i
\(586\) 46.7116 26.9689i 1.92964 1.11408i
\(587\) 13.4282 3.59809i 0.554243 0.148509i 0.0291829 0.999574i \(-0.490709\pi\)
0.525060 + 0.851065i \(0.324043\pi\)
\(588\) 28.0564 + 5.53626i 1.15702 + 0.228312i
\(589\) 16.9091 9.76250i 0.696729 0.402257i
\(590\) 5.16399 + 1.38369i 0.212598 + 0.0569655i
\(591\) −0.690293 0.690293i −0.0283949 0.0283949i
\(592\) −3.88368 3.88368i −0.159618 0.159618i
\(593\) −32.5656 8.72592i −1.33731 0.358331i −0.481873 0.876241i \(-0.660043\pi\)
−0.855435 + 0.517911i \(0.826710\pi\)
\(594\) 12.7191 7.34338i 0.521871 0.301303i
\(595\) 1.23185 0.204345i 0.0505010 0.00837735i
\(596\) 57.4557 15.3952i 2.35348 0.630612i
\(597\) −13.1380 + 7.58524i −0.537703 + 0.310443i
\(598\) 37.8946 + 61.5266i 1.54962 + 2.51601i
\(599\) −6.39544 + 11.0772i −0.261311 + 0.452603i −0.966590 0.256326i \(-0.917488\pi\)
0.705280 + 0.708929i \(0.250821\pi\)
\(600\) −17.2572 17.2572i −0.704523 0.704523i
\(601\) 26.5897 + 15.3516i 1.08462 + 0.626205i 0.932138 0.362102i \(-0.117941\pi\)
0.152480 + 0.988307i \(0.451274\pi\)
\(602\) −1.13512 + 0.188299i −0.0462639 + 0.00767448i
\(603\) −5.39742 + 5.39742i −0.219800 + 0.219800i
\(604\) 5.41682 + 20.2158i 0.220407 + 0.822571i
\(605\) −8.74198 + 8.74198i −0.355412 + 0.355412i
\(606\) 10.6603 2.85641i 0.433044 0.116034i
\(607\) 23.2575 + 13.4277i 0.943992 + 0.545014i 0.891210 0.453592i \(-0.149858\pi\)
0.0527827 + 0.998606i \(0.483191\pi\)
\(608\) 3.41150 5.90889i 0.138355 0.239637i
\(609\) 9.46570 4.29756i 0.383570 0.174146i
\(610\) 9.72010i 0.393555i
\(611\) −5.44672 2.94145i −0.220351 0.118999i
\(612\) −3.30177 1.90628i −0.133466 0.0770567i
\(613\) 10.3125 + 2.76321i 0.416516 + 0.111605i 0.460990 0.887405i \(-0.347494\pi\)
−0.0444737 + 0.999011i \(0.514161\pi\)
\(614\) 8.30201i 0.335042i
\(615\) −2.05492 3.55923i −0.0828624 0.143522i
\(616\) 65.9019 + 47.1485i 2.65526 + 1.89967i
\(617\) −8.37021 2.24279i −0.336972 0.0902913i 0.0863653 0.996264i \(-0.472475\pi\)
−0.423337 + 0.905972i \(0.639141\pi\)
\(618\) 9.89436 2.65119i 0.398009 0.106646i
\(619\) −1.40877 5.25761i −0.0566233 0.211321i 0.931818 0.362926i \(-0.118222\pi\)
−0.988441 + 0.151605i \(0.951556\pi\)
\(620\) 5.08486 0.204213
\(621\) −8.12427 −0.326016
\(622\) −7.99065 29.8215i −0.320396 1.19573i
\(623\) 10.5808 + 3.97313i 0.423912 + 0.159180i
\(624\) 15.6131 4.66313i 0.625026 0.186674i
\(625\) 10.6145 + 18.3849i 0.424580 + 0.735394i
\(626\) 6.19171 23.1078i 0.247471 0.923573i
\(627\) −23.6162 40.9045i −0.943141 1.63357i
\(628\) 2.35602 4.08075i 0.0940154 0.162839i
\(629\) 0.801970 + 0.801970i 0.0319766 + 0.0319766i
\(630\) −1.36452 3.00546i −0.0543639 0.119740i
\(631\) 1.72756 6.44735i 0.0687731 0.256665i −0.922976 0.384857i \(-0.874251\pi\)
0.991749 + 0.128192i \(0.0409174\pi\)
\(632\) 12.3574 46.1185i 0.491551 1.83449i
\(633\) 20.1962i 0.802725i
\(634\) −49.8155 + 28.7610i −1.97842 + 1.14224i
\(635\) 3.74197 3.74197i 0.148495 0.148495i
\(636\) −6.13424 −0.243239
\(637\) 20.5559 14.6443i 0.814454 0.580228i
\(638\) 57.7068 2.28463
\(639\) 4.79281 4.79281i 0.189601 0.189601i
\(640\) −8.22661 + 4.74964i −0.325185 + 0.187746i
\(641\) 3.66669i 0.144826i 0.997375 + 0.0724129i \(0.0230699\pi\)
−0.997375 + 0.0724129i \(0.976930\pi\)
\(642\) 6.02110 22.4711i 0.237634 0.886862i
\(643\) −4.98038 + 18.5870i −0.196407 + 0.733001i 0.795491 + 0.605965i \(0.207213\pi\)
−0.991898 + 0.127036i \(0.959454\pi\)
\(644\) −36.3023 79.9585i −1.43051 3.15081i
\(645\) 0.0630443 + 0.0630443i 0.00248237 + 0.00248237i
\(646\) −9.13181 + 15.8168i −0.359286 + 0.622302i
\(647\) 1.07235 + 1.85736i 0.0421583 + 0.0730204i 0.886335 0.463045i \(-0.153243\pi\)
−0.844176 + 0.536066i \(0.819910\pi\)
\(648\) −1.33142 + 4.96893i −0.0523031 + 0.195198i
\(649\) −12.7566 22.0952i −0.500742 0.867311i
\(650\) −42.1799 + 1.19966i −1.65443 + 0.0470544i
\(651\) −6.09593 2.28904i −0.238918 0.0897144i
\(652\) 14.4665 + 53.9898i 0.566553 + 2.11440i
\(653\) −22.7955 −0.892057 −0.446029 0.895019i \(-0.647162\pi\)
−0.446029 + 0.895019i \(0.647162\pi\)
\(654\) 16.9800 0.663969
\(655\) 2.08366 + 7.77632i 0.0814153 + 0.303846i
\(656\) −35.4752 + 9.50555i −1.38507 + 0.371129i
\(657\) −12.2371 3.27893i −0.477416 0.127923i
\(658\) 9.11323 + 6.51993i 0.355271 + 0.254173i
\(659\) −16.2426 28.1330i −0.632721 1.09591i −0.986993 0.160763i \(-0.948605\pi\)
0.354272 0.935142i \(-0.384729\pi\)
\(660\) 12.3007i 0.478803i
\(661\) −33.3853 8.94556i −1.29854 0.347942i −0.457641 0.889137i \(-0.651305\pi\)
−0.840897 + 0.541195i \(0.817972\pi\)
\(662\) 51.3428 + 29.6428i 1.99549 + 1.15210i
\(663\) −3.22408 + 0.962924i −0.125213 + 0.0373969i
\(664\) 12.0815i 0.468853i
\(665\) −9.66553 + 4.38829i −0.374813 + 0.170170i
\(666\) 1.49899 2.59632i 0.0580845 0.100605i
\(667\) −27.6450 15.9608i −1.07042 0.618005i
\(668\) −8.55402 + 2.29204i −0.330965 + 0.0886818i
\(669\) 13.5775 13.5775i 0.524935 0.524935i
\(670\) 2.46466 + 9.19823i 0.0952180 + 0.355359i
\(671\) 32.8005 32.8005i 1.26625 1.26625i
\(672\) −2.24478 + 0.372374i −0.0865941 + 0.0143646i
\(673\) −14.0303 8.10040i −0.540828 0.312247i 0.204586 0.978849i \(-0.434415\pi\)
−0.745415 + 0.666601i \(0.767748\pi\)
\(674\) 12.0748 + 12.0748i 0.465105 + 0.465105i
\(675\) 2.37212 4.10863i 0.0913029 0.158141i
\(676\) 23.8976 47.4290i 0.919139 1.82419i
\(677\) 16.1987 9.35233i 0.622567 0.359439i −0.155301 0.987867i \(-0.549635\pi\)
0.777868 + 0.628428i \(0.216301\pi\)
\(678\) −10.1835 + 2.72865i −0.391094 + 0.104793i
\(679\) −8.64216 + 1.43360i −0.331656 + 0.0550166i
\(680\) −2.10259 + 1.21393i −0.0806306 + 0.0465521i
\(681\) 21.2116 + 5.68363i 0.812830 + 0.217797i
\(682\) −25.5591 25.5591i −0.978708 0.978708i
\(683\) 5.04992 + 5.04992i 0.193230 + 0.193230i 0.797090 0.603860i \(-0.206372\pi\)
−0.603860 + 0.797090i \(0.706372\pi\)
\(684\) 31.3061 + 8.38844i 1.19702 + 0.320740i
\(685\) −8.45547 + 4.88177i −0.323067 + 0.186523i
\(686\) −40.2426 + 21.6287i −1.53647 + 0.825788i
\(687\) 25.3854 6.80200i 0.968514 0.259512i
\(688\) 0.689998 0.398370i 0.0263059 0.0151877i
\(689\) −3.71777 + 3.93544i −0.141636 + 0.149928i
\(690\) −5.06773 + 8.77757i −0.192925 + 0.334156i
\(691\) 33.0564 + 33.0564i 1.25752 + 1.25752i 0.952271 + 0.305253i \(0.0987412\pi\)
0.305253 + 0.952271i \(0.401259\pi\)
\(692\) −9.80532 5.66110i −0.372742 0.215203i
\(693\) −5.53735 + 14.7465i −0.210347 + 0.560174i
\(694\) 48.2256 48.2256i 1.83062 1.83062i
\(695\) 0.922688 + 3.44352i 0.0349995 + 0.130620i
\(696\) −14.2924 + 14.2924i −0.541752 + 0.541752i
\(697\) 7.32554 1.96287i 0.277475 0.0743491i
\(698\) −15.6612 9.04201i −0.592786 0.342245i
\(699\) −5.08583 + 8.80891i −0.192364 + 0.333184i
\(700\) 51.0364 + 4.98733i 1.92899 + 0.188503i
\(701\) 12.2740i 0.463581i −0.972766 0.231790i \(-0.925542\pi\)
0.972766 0.231790i \(-0.0744584\pi\)
\(702\) 4.66436 + 7.57318i 0.176045 + 0.285831i
\(703\) −8.34973 4.82072i −0.314916 0.181817i
\(704\) 39.7785 + 10.6586i 1.49921 + 0.401712i
\(705\) 0.868264i 0.0327007i
\(706\) −31.6716 54.8568i −1.19198 2.06456i
\(707\) −6.88727 + 9.62668i −0.259023 + 0.362049i
\(708\) 16.9104 + 4.53113i 0.635533 + 0.170290i
\(709\) 42.5380 11.3980i 1.59755 0.428062i 0.653247 0.757145i \(-0.273406\pi\)
0.944301 + 0.329084i \(0.106740\pi\)
\(710\) −2.18857 8.16786i −0.0821356 0.306534i
\(711\) 9.28137 0.348079
\(712\) −21.9752 −0.823556
\(713\) 5.17505 + 19.3136i 0.193807 + 0.723299i
\(714\) 6.00876 0.996760i 0.224872 0.0373028i
\(715\) −7.89153 7.45505i −0.295126 0.278803i
\(716\) −18.6624 32.3242i −0.697447 1.20801i
\(717\) −0.306354 + 1.14333i −0.0114410 + 0.0426984i
\(718\) −2.82444 4.89207i −0.105407 0.182570i
\(719\) 0.267002 0.462460i 0.00995748 0.0172469i −0.861004 0.508599i \(-0.830164\pi\)
0.870961 + 0.491352i \(0.163497\pi\)
\(720\) 1.61612 + 1.61612i 0.0602294 + 0.0602294i
\(721\) −6.39244 + 8.93504i −0.238067 + 0.332758i
\(722\) 28.0530 104.695i 1.04403 3.89635i
\(723\) −3.31190 + 12.3602i −0.123171 + 0.459680i
\(724\) 50.3131i 1.86987i
\(725\) 16.1435 9.32046i 0.599555 0.346153i
\(726\) −42.6418 + 42.6418i −1.58259 + 1.58259i
\(727\) −17.0326 −0.631703 −0.315851 0.948809i \(-0.602290\pi\)
−0.315851 + 0.948809i \(0.602290\pi\)
\(728\) −27.4071 + 40.7060i −1.01577 + 1.50866i
\(729\) −1.00000 −0.0370370
\(730\) −11.1758 + 11.1758i −0.413636 + 0.413636i
\(731\) −0.142483 + 0.0822625i −0.00526992 + 0.00304259i
\(732\) 31.8302i 1.17648i
\(733\) −7.48252 + 27.9251i −0.276373 + 1.03144i 0.678542 + 0.734561i \(0.262612\pi\)
−0.954916 + 0.296877i \(0.904055\pi\)
\(734\) 17.2307 64.3059i 0.635997 2.37357i
\(735\) 3.17740 + 1.56090i 0.117200 + 0.0575745i
\(736\) 4.94070 + 4.94070i 0.182116 + 0.182116i
\(737\) 22.7224 39.3564i 0.836992 1.44971i
\(738\) −10.0235 17.3613i −0.368971 0.639077i
\(739\) −3.67777 + 13.7256i −0.135289 + 0.504906i 0.864707 + 0.502276i \(0.167504\pi\)
−0.999997 + 0.00262992i \(0.999163\pi\)
\(740\) −1.25545 2.17451i −0.0461513 0.0799364i
\(741\) 24.3553 15.0005i 0.894713 0.551058i
\(742\) 7.57072 6.22281i 0.277930 0.228446i
\(743\) 12.9109 + 48.1840i 0.473654 + 1.76770i 0.626470 + 0.779446i \(0.284499\pi\)
−0.152816 + 0.988255i \(0.548834\pi\)
\(744\) 12.6606 0.464159
\(745\) 7.36339 0.269774
\(746\) −10.7076 39.9614i −0.392034 1.46309i
\(747\) 2.26853 0.607852i 0.0830013 0.0222401i
\(748\) 21.9252 + 5.87484i 0.801664 + 0.214805i
\(749\) 10.3148 + 22.7190i 0.376893 + 0.830135i
\(750\) −6.07823 10.5278i −0.221946 0.384421i
\(751\) 5.71485i 0.208538i −0.994549 0.104269i \(-0.966750\pi\)
0.994549 0.104269i \(-0.0332503\pi\)
\(752\) −7.49466 2.00819i −0.273302 0.0732311i
\(753\) 13.6386 + 7.87428i 0.497020 + 0.286955i
\(754\) 0.993553 + 34.9333i 0.0361831 + 1.27219i
\(755\) 2.59082i 0.0942894i
\(756\) −4.46838 9.84193i −0.162513 0.357948i
\(757\) −8.98844 + 15.5684i −0.326690 + 0.565844i −0.981853 0.189643i \(-0.939267\pi\)
0.655163 + 0.755488i \(0.272600\pi\)
\(758\) −50.6065 29.2177i −1.83811 1.06123i
\(759\) 46.7210 12.5188i 1.69586 0.454405i
\(760\) 14.5941 14.5941i 0.529384 0.529384i
\(761\) 9.13126 + 34.0783i 0.331008 + 1.23534i 0.908133 + 0.418682i \(0.137508\pi\)
−0.577125 + 0.816656i \(0.695825\pi\)
\(762\) 18.2526 18.2526i 0.661224 0.661224i
\(763\) −14.0688 + 11.5639i −0.509324 + 0.418642i
\(764\) −1.89182 1.09224i −0.0684436 0.0395159i
\(765\) −0.333726 0.333726i −0.0120659 0.0120659i
\(766\) 24.7706 42.9039i 0.894997 1.55018i
\(767\) 13.1558 8.10275i 0.475030 0.292574i
\(768\) −28.1473 + 16.2508i −1.01568 + 0.586401i
\(769\) −31.5109 + 8.44333i −1.13631 + 0.304474i −0.777468 0.628923i \(-0.783496\pi\)
−0.358845 + 0.933397i \(0.616829\pi\)
\(770\) 12.4783 + 15.1812i 0.449685 + 0.547091i
\(771\) −11.3412 + 6.54782i −0.408442 + 0.235814i
\(772\) 26.6246 + 7.13404i 0.958241 + 0.256760i
\(773\) 21.4303 + 21.4303i 0.770796 + 0.770796i 0.978246 0.207450i \(-0.0665164\pi\)
−0.207450 + 0.978246i \(0.566516\pi\)
\(774\) 0.307519