Properties

Label 80.2.j.b.67.9
Level $80$
Weight $2$
Character 80.67
Analytic conductor $0.639$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 80.j (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.638803216170\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(9\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + 74 x^{8} + 24 x^{7} - 80 x^{6} - 224 x^{5} - 160 x^{4} - 256 x^{3} + 256 x^{2} + 512\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{6} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 67.9
Root \(1.41303 + 0.0578659i\) of defining polynomial
Character \(\chi\) \(=\) 80.67
Dual form 80.2.j.b.43.9

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29521 + 0.567819i) q^{2} -1.96251i q^{3} +(1.35516 + 1.47090i) q^{4} +(-1.72581 + 1.42182i) q^{5} +(1.11435 - 2.54187i) q^{6} +(-1.60205 - 1.60205i) q^{7} +(0.920026 + 2.67461i) q^{8} -0.851447 q^{9} +O(q^{10})\) \(q+(1.29521 + 0.567819i) q^{2} -1.96251i q^{3} +(1.35516 + 1.47090i) q^{4} +(-1.72581 + 1.42182i) q^{5} +(1.11435 - 2.54187i) q^{6} +(-1.60205 - 1.60205i) q^{7} +(0.920026 + 2.67461i) q^{8} -0.851447 q^{9} +(-3.04263 + 0.861621i) q^{10} +(0.754587 + 0.754587i) q^{11} +(2.88665 - 2.65952i) q^{12} -5.94580 q^{13} +(-1.16532 - 2.98467i) q^{14} +(2.79034 + 3.38692i) q^{15} +(-0.327065 + 3.98661i) q^{16} +(1.95574 + 1.95574i) q^{17} +(-1.10281 - 0.483468i) q^{18} +(-0.780680 - 0.780680i) q^{19} +(-4.43011 - 0.611680i) q^{20} +(-3.14404 + 3.14404i) q^{21} +(0.548884 + 1.40582i) q^{22} +(4.93121 - 4.93121i) q^{23} +(5.24896 - 1.80556i) q^{24} +(0.956833 - 4.90759i) q^{25} +(-7.70109 - 3.37614i) q^{26} -4.21656i q^{27} +(0.185408 - 4.52748i) q^{28} +(1.44802 - 1.44802i) q^{29} +(1.69094 + 5.97120i) q^{30} +3.60859i q^{31} +(-2.68729 + 4.97780i) q^{32} +(1.48089 - 1.48089i) q^{33} +(1.42260 + 3.64361i) q^{34} +(5.04266 + 0.486998i) q^{35} +(-1.15385 - 1.25239i) q^{36} +10.2364 q^{37} +(-0.567864 - 1.45443i) q^{38} +11.6687i q^{39} +(-5.39062 - 3.30776i) q^{40} +6.93334i q^{41} +(-5.85745 + 2.28696i) q^{42} -9.91344 q^{43} +(-0.0873298 + 2.13251i) q^{44} +(1.46944 - 1.21061i) q^{45} +(9.18700 - 3.58694i) q^{46} +(-0.104270 + 0.104270i) q^{47} +(7.82376 + 0.641868i) q^{48} -1.86688i q^{49} +(4.02593 - 5.81308i) q^{50} +(3.83816 - 3.83816i) q^{51} +(-8.05753 - 8.74565i) q^{52} +4.03213i q^{53} +(2.39424 - 5.46135i) q^{54} +(-2.37516 - 0.229383i) q^{55} +(2.81093 - 5.75878i) q^{56} +(-1.53209 + 1.53209i) q^{57} +(2.69771 - 1.05328i) q^{58} +(3.46736 - 3.46736i) q^{59} +(-1.20043 + 8.69413i) q^{60} +(0.680578 + 0.680578i) q^{61} +(-2.04902 + 4.67390i) q^{62} +(1.36406 + 1.36406i) q^{63} +(-6.30711 + 4.92142i) q^{64} +(10.2613 - 8.45388i) q^{65} +(2.75894 - 1.07719i) q^{66} -9.04721 q^{67} +(-0.226341 + 5.52703i) q^{68} +(-9.67754 - 9.67754i) q^{69} +(6.25480 + 3.49408i) q^{70} -3.64007 q^{71} +(-0.783353 - 2.27729i) q^{72} +(2.94030 + 2.94030i) q^{73} +(13.2583 + 5.81242i) q^{74} +(-9.63120 - 1.87779i) q^{75} +(0.0903496 - 2.20625i) q^{76} -2.41777i q^{77} +(-6.62570 + 15.1135i) q^{78} -10.7140 q^{79} +(-5.10380 - 7.34515i) q^{80} -10.8294 q^{81} +(-3.93688 + 8.98016i) q^{82} +4.23845i q^{83} +(-8.88523 - 0.363865i) q^{84} +(-6.15595 - 0.594515i) q^{85} +(-12.8400 - 5.62904i) q^{86} +(-2.84176 - 2.84176i) q^{87} +(-1.32399 + 2.71247i) q^{88} -0.0426256 q^{89} +(2.59064 - 0.733625i) q^{90} +(9.52546 + 9.52546i) q^{91} +(13.9359 + 0.570698i) q^{92} +7.08189 q^{93} +(-0.194258 + 0.0758455i) q^{94} +(2.45730 + 0.237315i) q^{95} +(9.76898 + 5.27383i) q^{96} +(-1.91173 - 1.91173i) q^{97} +(1.06005 - 2.41802i) q^{98} +(-0.642491 - 0.642491i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 8 q^{6} + 2 q^{7} - 4 q^{8} - 10 q^{9} + O(q^{10}) \) \( 18 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 8 q^{6} + 2 q^{7} - 4 q^{8} - 10 q^{9} - 12 q^{10} - 2 q^{11} + 4 q^{12} + 12 q^{14} + 20 q^{15} - 6 q^{17} + 16 q^{18} + 2 q^{19} - 4 q^{20} - 16 q^{21} + 4 q^{22} - 2 q^{23} + 4 q^{24} + 6 q^{25} - 16 q^{26} - 4 q^{28} - 14 q^{29} + 20 q^{30} - 4 q^{32} - 8 q^{33} - 28 q^{34} - 6 q^{35} - 4 q^{36} + 8 q^{37} + 16 q^{38} + 20 q^{40} + 28 q^{42} - 44 q^{43} + 44 q^{44} - 4 q^{45} + 12 q^{46} - 38 q^{47} + 60 q^{48} + 20 q^{50} + 8 q^{51} - 40 q^{52} - 4 q^{54} - 6 q^{55} + 20 q^{56} + 24 q^{57} - 20 q^{58} - 10 q^{59} - 68 q^{60} + 14 q^{61} + 6 q^{63} - 16 q^{64} + 4 q^{66} + 12 q^{67} + 36 q^{68} + 32 q^{69} - 36 q^{70} + 24 q^{71} - 36 q^{72} + 14 q^{73} + 48 q^{74} + 64 q^{75} - 16 q^{76} - 84 q^{78} + 16 q^{79} - 20 q^{80} + 2 q^{81} - 28 q^{82} - 24 q^{84} - 10 q^{85} - 36 q^{86} + 24 q^{87} - 96 q^{88} - 12 q^{89} - 64 q^{90} + 52 q^{92} + 16 q^{93} + 28 q^{94} - 34 q^{95} - 40 q^{96} + 18 q^{97} + 32 q^{98} - 22 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{3}{4}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29521 + 0.567819i 0.915855 + 0.401509i
\(3\) 1.96251i 1.13306i −0.824043 0.566528i \(-0.808286\pi\)
0.824043 0.566528i \(-0.191714\pi\)
\(4\) 1.35516 + 1.47090i 0.677582 + 0.735448i
\(5\) −1.72581 + 1.42182i −0.771805 + 0.635859i
\(6\) 1.11435 2.54187i 0.454932 1.03772i
\(7\) −1.60205 1.60205i −0.605517 0.605517i 0.336254 0.941771i \(-0.390840\pi\)
−0.941771 + 0.336254i \(0.890840\pi\)
\(8\) 0.920026 + 2.67461i 0.325278 + 0.945618i
\(9\) −0.851447 −0.283816
\(10\) −3.04263 + 0.861621i −0.962165 + 0.272468i
\(11\) 0.754587 + 0.754587i 0.227517 + 0.227517i 0.811654 0.584138i \(-0.198567\pi\)
−0.584138 + 0.811654i \(0.698567\pi\)
\(12\) 2.88665 2.65952i 0.833303 0.767738i
\(13\) −5.94580 −1.64907 −0.824534 0.565812i \(-0.808563\pi\)
−0.824534 + 0.565812i \(0.808563\pi\)
\(14\) −1.16532 2.98467i −0.311446 0.797687i
\(15\) 2.79034 + 3.38692i 0.720464 + 0.874498i
\(16\) −0.327065 + 3.98661i −0.0817662 + 0.996652i
\(17\) 1.95574 + 1.95574i 0.474336 + 0.474336i 0.903315 0.428978i \(-0.141126\pi\)
−0.428978 + 0.903315i \(0.641126\pi\)
\(18\) −1.10281 0.483468i −0.259934 0.113954i
\(19\) −0.780680 0.780680i −0.179100 0.179100i 0.611863 0.790964i \(-0.290420\pi\)
−0.790964 + 0.611863i \(0.790420\pi\)
\(20\) −4.43011 0.611680i −0.990602 0.136776i
\(21\) −3.14404 + 3.14404i −0.686085 + 0.686085i
\(22\) 0.548884 + 1.40582i 0.117022 + 0.299722i
\(23\) 4.93121 4.93121i 1.02823 1.02823i 0.0286378 0.999590i \(-0.490883\pi\)
0.999590 0.0286378i \(-0.00911693\pi\)
\(24\) 5.24896 1.80556i 1.07144 0.368558i
\(25\) 0.956833 4.90759i 0.191367 0.981519i
\(26\) −7.70109 3.37614i −1.51031 0.662115i
\(27\) 4.21656i 0.811477i
\(28\) 0.185408 4.52748i 0.0350388 0.855614i
\(29\) 1.44802 1.44802i 0.268891 0.268891i −0.559762 0.828653i \(-0.689108\pi\)
0.828653 + 0.559762i \(0.189108\pi\)
\(30\) 1.69094 + 5.97120i 0.308722 + 1.09019i
\(31\) 3.60859i 0.648121i 0.946036 + 0.324061i \(0.105048\pi\)
−0.946036 + 0.324061i \(0.894952\pi\)
\(32\) −2.68729 + 4.97780i −0.475050 + 0.879959i
\(33\) 1.48089 1.48089i 0.257789 0.257789i
\(34\) 1.42260 + 3.64361i 0.243973 + 0.624874i
\(35\) 5.04266 + 0.486998i 0.852365 + 0.0823177i
\(36\) −1.15385 1.25239i −0.192308 0.208732i
\(37\) 10.2364 1.68285 0.841427 0.540371i \(-0.181716\pi\)
0.841427 + 0.540371i \(0.181716\pi\)
\(38\) −0.567864 1.45443i −0.0921197 0.235940i
\(39\) 11.6687i 1.86849i
\(40\) −5.39062 3.30776i −0.852331 0.523002i
\(41\) 6.93334i 1.08281i 0.840763 + 0.541403i \(0.182107\pi\)
−0.840763 + 0.541403i \(0.817893\pi\)
\(42\) −5.85745 + 2.28696i −0.903823 + 0.352885i
\(43\) −9.91344 −1.51179 −0.755893 0.654695i \(-0.772797\pi\)
−0.755893 + 0.654695i \(0.772797\pi\)
\(44\) −0.0873298 + 2.13251i −0.0131655 + 0.321488i
\(45\) 1.46944 1.21061i 0.219050 0.180467i
\(46\) 9.18700 3.58694i 1.35455 0.528865i
\(47\) −0.104270 + 0.104270i −0.0152093 + 0.0152093i −0.714671 0.699461i \(-0.753423\pi\)
0.699461 + 0.714671i \(0.253423\pi\)
\(48\) 7.82376 + 0.641868i 1.12926 + 0.0926457i
\(49\) 1.86688i 0.266698i
\(50\) 4.02593 5.81308i 0.569352 0.822094i
\(51\) 3.83816 3.83816i 0.537450 0.537450i
\(52\) −8.05753 8.74565i −1.11738 1.21280i
\(53\) 4.03213i 0.553856i 0.960891 + 0.276928i \(0.0893164\pi\)
−0.960891 + 0.276928i \(0.910684\pi\)
\(54\) 2.39424 5.46135i 0.325815 0.743195i
\(55\) −2.37516 0.229383i −0.320267 0.0309300i
\(56\) 2.81093 5.75878i 0.375627 0.769550i
\(57\) −1.53209 + 1.53209i −0.202931 + 0.202931i
\(58\) 2.69771 1.05328i 0.354227 0.138303i
\(59\) 3.46736 3.46736i 0.451412 0.451412i −0.444411 0.895823i \(-0.646587\pi\)
0.895823 + 0.444411i \(0.146587\pi\)
\(60\) −1.20043 + 8.69413i −0.154975 + 1.12241i
\(61\) 0.680578 + 0.680578i 0.0871391 + 0.0871391i 0.749333 0.662194i \(-0.230374\pi\)
−0.662194 + 0.749333i \(0.730374\pi\)
\(62\) −2.04902 + 4.67390i −0.260226 + 0.593585i
\(63\) 1.36406 + 1.36406i 0.171855 + 0.171855i
\(64\) −6.30711 + 4.92142i −0.788388 + 0.615178i
\(65\) 10.2613 8.45388i 1.27276 1.04857i
\(66\) 2.75894 1.07719i 0.339602 0.132593i
\(67\) −9.04721 −1.10529 −0.552646 0.833416i \(-0.686382\pi\)
−0.552646 + 0.833416i \(0.686382\pi\)
\(68\) −0.226341 + 5.52703i −0.0274479 + 0.670251i
\(69\) −9.67754 9.67754i −1.16504 1.16504i
\(70\) 6.25480 + 3.49408i 0.747592 + 0.417623i
\(71\) −3.64007 −0.431997 −0.215998 0.976394i \(-0.569301\pi\)
−0.215998 + 0.976394i \(0.569301\pi\)
\(72\) −0.783353 2.27729i −0.0923191 0.268381i
\(73\) 2.94030 + 2.94030i 0.344136 + 0.344136i 0.857920 0.513784i \(-0.171757\pi\)
−0.513784 + 0.857920i \(0.671757\pi\)
\(74\) 13.2583 + 5.81242i 1.54125 + 0.675681i
\(75\) −9.63120 1.87779i −1.11212 0.216829i
\(76\) 0.0903496 2.20625i 0.0103638 0.253074i
\(77\) 2.41777i 0.275530i
\(78\) −6.62570 + 15.1135i −0.750213 + 1.71126i
\(79\) −10.7140 −1.20542 −0.602711 0.797960i \(-0.705913\pi\)
−0.602711 + 0.797960i \(0.705913\pi\)
\(80\) −5.10380 7.34515i −0.570622 0.821213i
\(81\) −10.8294 −1.20326
\(82\) −3.93688 + 8.98016i −0.434756 + 0.991693i
\(83\) 4.23845i 0.465230i 0.972569 + 0.232615i \(0.0747282\pi\)
−0.972569 + 0.232615i \(0.925272\pi\)
\(84\) −8.88523 0.363865i −0.969458 0.0397009i
\(85\) −6.15595 0.594515i −0.667707 0.0644842i
\(86\) −12.8400 5.62904i −1.38458 0.606995i
\(87\) −2.84176 2.84176i −0.304668 0.304668i
\(88\) −1.32399 + 2.71247i −0.141138 + 0.289150i
\(89\) −0.0426256 −0.00451831 −0.00225915 0.999997i \(-0.500719\pi\)
−0.00225915 + 0.999997i \(0.500719\pi\)
\(90\) 2.59064 0.733625i 0.273078 0.0773308i
\(91\) 9.52546 + 9.52546i 0.998539 + 0.998539i
\(92\) 13.9359 + 0.570698i 1.45292 + 0.0594993i
\(93\) 7.08189 0.734358
\(94\) −0.194258 + 0.0758455i −0.0200362 + 0.00782287i
\(95\) 2.45730 + 0.237315i 0.252113 + 0.0243480i
\(96\) 9.76898 + 5.27383i 0.997042 + 0.538258i
\(97\) −1.91173 1.91173i −0.194106 0.194106i 0.603362 0.797468i \(-0.293828\pi\)
−0.797468 + 0.603362i \(0.793828\pi\)
\(98\) 1.06005 2.41802i 0.107081 0.244257i
\(99\) −0.642491 0.642491i −0.0645728 0.0645728i
\(100\) 8.51522 5.24319i 0.851522 0.524319i
\(101\) 4.96537 4.96537i 0.494073 0.494073i −0.415514 0.909587i \(-0.636398\pi\)
0.909587 + 0.415514i \(0.136398\pi\)
\(102\) 7.15062 2.79186i 0.708017 0.276435i
\(103\) 0.442220 0.442220i 0.0435733 0.0435733i −0.684984 0.728558i \(-0.740191\pi\)
0.728558 + 0.684984i \(0.240191\pi\)
\(104\) −5.47029 15.9027i −0.536406 1.55939i
\(105\) 0.955739 9.89627i 0.0932706 0.965777i
\(106\) −2.28952 + 5.22248i −0.222378 + 0.507252i
\(107\) 17.5924i 1.70072i 0.526204 + 0.850359i \(0.323615\pi\)
−0.526204 + 0.850359i \(0.676385\pi\)
\(108\) 6.20211 5.71412i 0.596799 0.549842i
\(109\) −0.345161 + 0.345161i −0.0330605 + 0.0330605i −0.723444 0.690383i \(-0.757442\pi\)
0.690383 + 0.723444i \(0.257442\pi\)
\(110\) −2.94610 1.64576i −0.280900 0.156917i
\(111\) 20.0890i 1.90677i
\(112\) 6.91071 5.86276i 0.653001 0.553979i
\(113\) −5.43662 + 5.43662i −0.511435 + 0.511435i −0.914966 0.403531i \(-0.867783\pi\)
0.403531 + 0.914966i \(0.367783\pi\)
\(114\) −2.85434 + 1.11444i −0.267334 + 0.104377i
\(115\) −1.49901 + 15.5216i −0.139784 + 1.44740i
\(116\) 4.09219 + 0.167582i 0.379950 + 0.0155596i
\(117\) 5.06253 0.468031
\(118\) 6.45981 2.52214i 0.594673 0.232182i
\(119\) 6.26638i 0.574438i
\(120\) −6.49151 + 10.5791i −0.592591 + 0.965739i
\(121\) 9.86120i 0.896472i
\(122\) 0.495050 + 1.26794i 0.0448197 + 0.114794i
\(123\) 13.6067 1.22688
\(124\) −5.30785 + 4.89023i −0.476659 + 0.439155i
\(125\) 5.32642 + 9.83002i 0.476410 + 0.879223i
\(126\) 0.992211 + 2.54129i 0.0883932 + 0.226396i
\(127\) 6.27150 6.27150i 0.556505 0.556505i −0.371805 0.928311i \(-0.621261\pi\)
0.928311 + 0.371805i \(0.121261\pi\)
\(128\) −10.9635 + 2.79301i −0.969049 + 0.246869i
\(129\) 19.4552i 1.71294i
\(130\) 18.0909 5.12302i 1.58667 0.449319i
\(131\) 1.61521 1.61521i 0.141122 0.141122i −0.633017 0.774138i \(-0.718184\pi\)
0.774138 + 0.633017i \(0.218184\pi\)
\(132\) 4.18507 + 0.171386i 0.364263 + 0.0149172i
\(133\) 2.50138i 0.216897i
\(134\) −11.7181 5.13718i −1.01229 0.443785i
\(135\) 5.99520 + 7.27697i 0.515985 + 0.626302i
\(136\) −3.43152 + 7.03018i −0.294250 + 0.602833i
\(137\) −6.83585 + 6.83585i −0.584026 + 0.584026i −0.936007 0.351981i \(-0.885508\pi\)
0.351981 + 0.936007i \(0.385508\pi\)
\(138\) −7.03941 18.0296i −0.599234 1.53478i
\(139\) 13.7427 13.7427i 1.16564 1.16564i 0.182423 0.983220i \(-0.441606\pi\)
0.983220 0.182423i \(-0.0583940\pi\)
\(140\) 6.11730 + 8.07718i 0.517006 + 0.682647i
\(141\) 0.204631 + 0.204631i 0.0172330 + 0.0172330i
\(142\) −4.71467 2.06690i −0.395647 0.173450i
\(143\) −4.48662 4.48662i −0.375190 0.375190i
\(144\) 0.278479 3.39439i 0.0232066 0.282865i
\(145\) −0.440176 + 4.55784i −0.0365547 + 0.378508i
\(146\) 2.13876 + 5.47788i 0.177005 + 0.453353i
\(147\) −3.66378 −0.302184
\(148\) 13.8720 + 15.0567i 1.14027 + 1.23765i
\(149\) 1.73811 + 1.73811i 0.142391 + 0.142391i 0.774709 0.632318i \(-0.217896\pi\)
−0.632318 + 0.774709i \(0.717896\pi\)
\(150\) −11.4082 7.90093i −0.931478 0.645108i
\(151\) 5.83522 0.474864 0.237432 0.971404i \(-0.423694\pi\)
0.237432 + 0.971404i \(0.423694\pi\)
\(152\) 1.36977 2.80626i 0.111103 0.227618i
\(153\) −1.66521 1.66521i −0.134624 0.134624i
\(154\) 1.37286 3.13153i 0.110628 0.252346i
\(155\) −5.13078 6.22773i −0.412114 0.500223i
\(156\) −17.1634 + 15.8130i −1.37417 + 1.26605i
\(157\) 3.14732i 0.251183i 0.992082 + 0.125592i \(0.0400829\pi\)
−0.992082 + 0.125592i \(0.959917\pi\)
\(158\) −13.8770 6.08363i −1.10399 0.483987i
\(159\) 7.91310 0.627550
\(160\) −2.43980 12.4116i −0.192883 0.981222i
\(161\) −15.8001 −1.24522
\(162\) −14.0264 6.14913i −1.10202 0.483121i
\(163\) 7.82117i 0.612601i −0.951935 0.306301i \(-0.900909\pi\)
0.951935 0.306301i \(-0.0990913\pi\)
\(164\) −10.1982 + 9.39580i −0.796347 + 0.733689i
\(165\) −0.450167 + 4.66128i −0.0350454 + 0.362880i
\(166\) −2.40667 + 5.48970i −0.186794 + 0.426083i
\(167\) −9.88460 9.88460i −0.764893 0.764893i 0.212309 0.977203i \(-0.431902\pi\)
−0.977203 + 0.212309i \(0.931902\pi\)
\(168\) −11.3017 5.51649i −0.871943 0.425606i
\(169\) 22.3525 1.71942
\(170\) −7.63570 4.26549i −0.585632 0.327148i
\(171\) 0.664708 + 0.664708i 0.0508315 + 0.0508315i
\(172\) −13.4343 14.5816i −1.02436 1.11184i
\(173\) 3.49245 0.265526 0.132763 0.991148i \(-0.457615\pi\)
0.132763 + 0.991148i \(0.457615\pi\)
\(174\) −2.06708 5.29429i −0.156705 0.401359i
\(175\) −9.39509 + 6.32931i −0.710202 + 0.478451i
\(176\) −3.25504 + 2.76144i −0.245358 + 0.208152i
\(177\) −6.80473 6.80473i −0.511475 0.511475i
\(178\) −0.0552094 0.0242036i −0.00413812 0.00181414i
\(179\) 13.0809 + 13.0809i 0.977713 + 0.977713i 0.999757 0.0220444i \(-0.00701753\pi\)
−0.0220444 + 0.999757i \(0.507018\pi\)
\(180\) 3.77200 + 0.520813i 0.281148 + 0.0388191i
\(181\) 13.6393 13.6393i 1.01380 1.01380i 0.0138952 0.999903i \(-0.495577\pi\)
0.999903 0.0138952i \(-0.00442312\pi\)
\(182\) 6.92878 + 17.7462i 0.513595 + 1.31544i
\(183\) 1.33564 1.33564i 0.0987335 0.0987335i
\(184\) 17.7259 + 8.65223i 1.30677 + 0.637851i
\(185\) −17.6661 + 14.5544i −1.29884 + 1.07006i
\(186\) 9.17257 + 4.02123i 0.672565 + 0.294851i
\(187\) 2.95155i 0.215839i
\(188\) −0.294673 0.0120674i −0.0214912 0.000880102i
\(189\) −6.75513 + 6.75513i −0.491363 + 0.491363i
\(190\) 3.04797 + 1.70267i 0.221123 + 0.123525i
\(191\) 2.92523i 0.211662i −0.994384 0.105831i \(-0.966250\pi\)
0.994384 0.105831i \(-0.0337503\pi\)
\(192\) 9.65835 + 12.3778i 0.697031 + 0.893288i
\(193\) 0.0830702 0.0830702i 0.00597953 0.00597953i −0.704111 0.710090i \(-0.748654\pi\)
0.710090 + 0.704111i \(0.248654\pi\)
\(194\) −1.39058 3.56161i −0.0998379 0.255709i
\(195\) −16.5908 20.1379i −1.18809 1.44211i
\(196\) 2.74599 2.52993i 0.196142 0.180710i
\(197\) 7.80487 0.556074 0.278037 0.960570i \(-0.410316\pi\)
0.278037 + 0.960570i \(0.410316\pi\)
\(198\) −0.467346 1.19698i −0.0332128 0.0850659i
\(199\) 10.9740i 0.777924i 0.921254 + 0.388962i \(0.127166\pi\)
−0.921254 + 0.388962i \(0.872834\pi\)
\(200\) 14.0062 1.95595i 0.990389 0.138307i
\(201\) 17.7552i 1.25236i
\(202\) 9.25065 3.61179i 0.650873 0.254125i
\(203\) −4.63960 −0.325636
\(204\) 10.8469 + 0.444197i 0.759432 + 0.0311000i
\(205\) −9.85799 11.9656i −0.688512 0.835715i
\(206\) 0.823871 0.321669i 0.0574018 0.0224118i
\(207\) −4.19866 + 4.19866i −0.291827 + 0.291827i
\(208\) 1.94466 23.7036i 0.134838 1.64355i
\(209\) 1.17818i 0.0814966i
\(210\) 6.85718 12.2751i 0.473190 0.847063i
\(211\) −8.92204 + 8.92204i −0.614218 + 0.614218i −0.944042 0.329824i \(-0.893011\pi\)
0.329824 + 0.944042i \(0.393011\pi\)
\(212\) −5.93085 + 5.46420i −0.407332 + 0.375283i
\(213\) 7.14367i 0.489477i
\(214\) −9.98927 + 22.7859i −0.682853 + 1.55761i
\(215\) 17.1087 14.0952i 1.16680 0.961283i
\(216\) 11.2777 3.87934i 0.767347 0.263956i
\(217\) 5.78113 5.78113i 0.392449 0.392449i
\(218\) −0.643047 + 0.251069i −0.0435527 + 0.0170045i
\(219\) 5.77037 5.77037i 0.389926 0.389926i
\(220\) −2.88134 3.80447i −0.194260 0.256497i
\(221\) −11.6284 11.6284i −0.782213 0.782213i
\(222\) 11.4069 26.0196i 0.765584 1.74632i
\(223\) 13.1678 + 13.1678i 0.881784 + 0.881784i 0.993716 0.111931i \(-0.0357037\pi\)
−0.111931 + 0.993716i \(0.535704\pi\)
\(224\) 12.2798 3.66950i 0.820481 0.245179i
\(225\) −0.814693 + 4.17856i −0.0543129 + 0.278570i
\(226\) −10.1286 + 3.95458i −0.673745 + 0.263055i
\(227\) 19.3432 1.28385 0.641927 0.766766i \(-0.278135\pi\)
0.641927 + 0.766766i \(0.278135\pi\)
\(228\) −4.32979 0.177312i −0.286747 0.0117428i
\(229\) −13.2143 13.2143i −0.873223 0.873223i 0.119599 0.992822i \(-0.461839\pi\)
−0.992822 + 0.119599i \(0.961839\pi\)
\(230\) −10.7550 + 19.2527i −0.709165 + 1.26948i
\(231\) −4.74490 −0.312191
\(232\) 5.20511 + 2.54068i 0.341732 + 0.166804i
\(233\) −20.6884 20.6884i −1.35534 1.35534i −0.879570 0.475769i \(-0.842170\pi\)
−0.475769 0.879570i \(-0.657830\pi\)
\(234\) 6.55707 + 2.87460i 0.428649 + 0.187919i
\(235\) 0.0316965 0.328204i 0.00206765 0.0214096i
\(236\) 9.79896 + 0.401284i 0.637858 + 0.0261214i
\(237\) 21.0264i 1.36581i
\(238\) 3.55817 8.11630i 0.230642 0.526102i
\(239\) −14.1053 −0.912395 −0.456198 0.889878i \(-0.650789\pi\)
−0.456198 + 0.889878i \(0.650789\pi\)
\(240\) −14.4149 + 10.0163i −0.930480 + 0.646547i
\(241\) 12.8011 0.824592 0.412296 0.911050i \(-0.364727\pi\)
0.412296 + 0.911050i \(0.364727\pi\)
\(242\) 5.59937 12.7724i 0.359941 0.821039i
\(243\) 8.60310i 0.551889i
\(244\) −0.0787646 + 1.92335i −0.00504238 + 0.123130i
\(245\) 2.65438 + 3.22189i 0.169582 + 0.205839i
\(246\) 17.6237 + 7.72617i 1.12364 + 0.492603i
\(247\) 4.64177 + 4.64177i 0.295349 + 0.295349i
\(248\) −9.65157 + 3.31999i −0.612876 + 0.210820i
\(249\) 8.31800 0.527132
\(250\) 1.31719 + 15.7564i 0.0833066 + 0.996524i
\(251\) −6.84118 6.84118i −0.431812 0.431812i 0.457433 0.889244i \(-0.348769\pi\)
−0.889244 + 0.457433i \(0.848769\pi\)
\(252\) −0.157865 + 3.85491i −0.00994457 + 0.242837i
\(253\) 7.44205 0.467878
\(254\) 11.6840 4.56186i 0.733120 0.286237i
\(255\) −1.16674 + 12.0811i −0.0730642 + 0.756549i
\(256\) −15.7861 2.60776i −0.986629 0.162985i
\(257\) −6.66524 6.66524i −0.415766 0.415766i 0.467975 0.883742i \(-0.344984\pi\)
−0.883742 + 0.467975i \(0.844984\pi\)
\(258\) −11.0471 + 25.1987i −0.687759 + 1.56880i
\(259\) −16.3992 16.3992i −1.01900 1.01900i
\(260\) 26.3405 + 3.63693i 1.63357 + 0.225553i
\(261\) −1.23291 + 1.23291i −0.0763154 + 0.0763154i
\(262\) 3.00919 1.17490i 0.185908 0.0725854i
\(263\) −7.32015 + 7.32015i −0.451380 + 0.451380i −0.895812 0.444432i \(-0.853405\pi\)
0.444432 + 0.895812i \(0.353405\pi\)
\(264\) 5.32325 + 2.59834i 0.327623 + 0.159917i
\(265\) −5.73298 6.95869i −0.352174 0.427469i
\(266\) −1.42033 + 3.23982i −0.0870859 + 0.198646i
\(267\) 0.0836533i 0.00511950i
\(268\) −12.2604 13.3075i −0.748926 0.812885i
\(269\) 15.9801 15.9801i 0.974321 0.974321i −0.0253576 0.999678i \(-0.508072\pi\)
0.999678 + 0.0253576i \(0.00807242\pi\)
\(270\) 3.63307 + 12.8294i 0.221102 + 0.780774i
\(271\) 3.59684i 0.218492i 0.994015 + 0.109246i \(0.0348437\pi\)
−0.994015 + 0.109246i \(0.965156\pi\)
\(272\) −8.43642 + 7.15711i −0.511533 + 0.433963i
\(273\) 18.6938 18.6938i 1.13140 1.13140i
\(274\) −12.7354 + 4.97237i −0.769375 + 0.300392i
\(275\) 4.42522 2.98119i 0.266851 0.179773i
\(276\) 1.12000 27.3493i 0.0674161 1.64623i
\(277\) −20.9416 −1.25826 −0.629131 0.777300i \(-0.716589\pi\)
−0.629131 + 0.777300i \(0.716589\pi\)
\(278\) 25.6032 9.99640i 1.53558 0.599545i
\(279\) 3.07252i 0.183947i
\(280\) 3.33684 + 13.9352i 0.199415 + 0.832788i
\(281\) 3.26699i 0.194892i 0.995241 + 0.0974462i \(0.0310674\pi\)
−0.995241 + 0.0974462i \(0.968933\pi\)
\(282\) 0.148848 + 0.381234i 0.00886375 + 0.0227022i
\(283\) 0.000151619 0 9.01279e−6 0 4.50640e−6 1.00000i \(-0.499999\pi\)
4.50640e−6 1.00000i \(0.499999\pi\)
\(284\) −4.93289 5.35416i −0.292713 0.317711i
\(285\) 0.465733 4.82247i 0.0275877 0.285658i
\(286\) −3.26355 8.35873i −0.192978 0.494262i
\(287\) 11.1075 11.1075i 0.655657 0.655657i
\(288\) 2.28809 4.23833i 0.134827 0.249746i
\(289\) 9.35017i 0.550010i
\(290\) −3.15815 + 5.65344i −0.185453 + 0.331981i
\(291\) −3.75178 + 3.75178i −0.219933 + 0.219933i
\(292\) −0.340287 + 8.30947i −0.0199138 + 0.486275i
\(293\) 11.0593i 0.646091i 0.946384 + 0.323045i \(0.104707\pi\)
−0.946384 + 0.323045i \(0.895293\pi\)
\(294\) −4.74538 2.08036i −0.276756 0.121329i
\(295\) −1.05402 + 10.9140i −0.0613677 + 0.635436i
\(296\) 9.41775 + 27.3784i 0.547396 + 1.59134i
\(297\) 3.18176 3.18176i 0.184624 0.184624i
\(298\) 1.26429 + 3.23815i 0.0732384 + 0.187581i
\(299\) −29.3200 + 29.3200i −1.69562 + 1.69562i
\(300\) −10.2898 16.7112i −0.594083 0.964822i
\(301\) 15.8818 + 15.8818i 0.915413 + 0.915413i
\(302\) 7.55787 + 3.31335i 0.434906 + 0.190662i
\(303\) −9.74459 9.74459i −0.559812 0.559812i
\(304\) 3.36760 2.85693i 0.193145 0.163856i
\(305\) −2.14221 0.206885i −0.122663 0.0118462i
\(306\) −1.21127 3.10234i −0.0692435 0.177349i
\(307\) 15.1317 0.863613 0.431806 0.901966i \(-0.357876\pi\)
0.431806 + 0.901966i \(0.357876\pi\)
\(308\) 3.55629 3.27647i 0.202638 0.186694i
\(309\) −0.867862 0.867862i −0.0493709 0.0493709i
\(310\) −3.10923 10.9796i −0.176593 0.623600i
\(311\) −27.1556 −1.53985 −0.769925 0.638134i \(-0.779707\pi\)
−0.769925 + 0.638134i \(0.779707\pi\)
\(312\) −31.2092 + 10.7355i −1.76687 + 0.607778i
\(313\) 13.6695 + 13.6695i 0.772646 + 0.772646i 0.978568 0.205922i \(-0.0660194\pi\)
−0.205922 + 0.978568i \(0.566019\pi\)
\(314\) −1.78711 + 4.07645i −0.100852 + 0.230048i
\(315\) −4.29356 0.414653i −0.241915 0.0233631i
\(316\) −14.5193 15.7592i −0.816772 0.886525i
\(317\) 25.8314i 1.45084i −0.688307 0.725419i \(-0.741646\pi\)
0.688307 0.725419i \(-0.258354\pi\)
\(318\) 10.2492 + 4.49321i 0.574745 + 0.251967i
\(319\) 2.18532 0.122354
\(320\) 3.88746 17.4610i 0.217316 0.976101i
\(321\) 34.5252 1.92701
\(322\) −20.4645 8.97157i −1.14044 0.499966i
\(323\) 3.05361i 0.169908i
\(324\) −14.6756 15.9289i −0.815310 0.884938i
\(325\) −5.68914 + 29.1796i −0.315576 + 1.61859i
\(326\) 4.44101 10.1301i 0.245965 0.561054i
\(327\) 0.677383 + 0.677383i 0.0374594 + 0.0374594i
\(328\) −18.5440 + 6.37885i −1.02392 + 0.352213i
\(329\) 0.334091 0.0184190
\(330\) −3.22983 + 5.78175i −0.177796 + 0.318275i
\(331\) −13.6207 13.6207i −0.748659 0.748659i 0.225568 0.974227i \(-0.427576\pi\)
−0.974227 + 0.225568i \(0.927576\pi\)
\(332\) −6.23431 + 5.74379i −0.342152 + 0.315231i
\(333\) −8.71576 −0.477621
\(334\) −7.19002 18.4153i −0.393420 1.00764i
\(335\) 15.6138 12.8635i 0.853071 0.702810i
\(336\) −11.5057 13.5623i −0.627689 0.739886i
\(337\) 16.0911 + 16.0911i 0.876536 + 0.876536i 0.993174 0.116638i \(-0.0372119\pi\)
−0.116638 + 0.993174i \(0.537212\pi\)
\(338\) 28.9513 + 12.6922i 1.57474 + 0.690364i
\(339\) 10.6694 + 10.6694i 0.579484 + 0.579484i
\(340\) −7.46785 9.86042i −0.405001 0.534756i
\(341\) −2.72299 + 2.72299i −0.147458 + 0.147458i
\(342\) 0.483506 + 1.23837i 0.0261450 + 0.0669636i
\(343\) −14.2052 + 14.2052i −0.767007 + 0.767007i
\(344\) −9.12062 26.5146i −0.491751 1.42957i
\(345\) 30.4614 + 2.94183i 1.63998 + 0.158383i
\(346\) 4.52347 + 1.98308i 0.243183 + 0.106611i
\(347\) 5.57562i 0.299315i 0.988738 + 0.149658i \(0.0478171\pi\)
−0.988738 + 0.149658i \(0.952183\pi\)
\(348\) 0.328882 8.03097i 0.0176299 0.430505i
\(349\) −15.0811 + 15.0811i −0.807273 + 0.807273i −0.984220 0.176947i \(-0.943378\pi\)
0.176947 + 0.984220i \(0.443378\pi\)
\(350\) −15.7626 + 2.86310i −0.842544 + 0.153039i
\(351\) 25.0708i 1.33818i
\(352\) −5.78398 + 1.72839i −0.308287 + 0.0921234i
\(353\) 2.57880 2.57880i 0.137256 0.137256i −0.635141 0.772397i \(-0.719058\pi\)
0.772397 + 0.635141i \(0.219058\pi\)
\(354\) −4.94973 12.6774i −0.263075 0.673798i
\(355\) 6.28206 5.17554i 0.333417 0.274689i
\(356\) −0.0577647 0.0626979i −0.00306152 0.00332298i
\(357\) −12.2978 −0.650870
\(358\) 9.51500 + 24.3702i 0.502883 + 1.28800i
\(359\) 5.77227i 0.304649i −0.988331 0.152324i \(-0.951324\pi\)
0.988331 0.152324i \(-0.0486758\pi\)
\(360\) 4.58983 + 2.81638i 0.241905 + 0.148436i
\(361\) 17.7811i 0.935846i
\(362\) 25.4104 9.92115i 1.33554 0.521444i
\(363\) −19.3527 −1.01575
\(364\) −1.10240 + 26.9195i −0.0577814 + 1.41096i
\(365\) −9.25499 0.893807i −0.484428 0.0467840i
\(366\) 2.48835 0.971540i 0.130068 0.0507832i
\(367\) −8.30496 + 8.30496i −0.433516 + 0.433516i −0.889822 0.456307i \(-0.849172\pi\)
0.456307 + 0.889822i \(0.349172\pi\)
\(368\) 18.0460 + 21.2716i 0.940710 + 1.10886i
\(369\) 5.90337i 0.307317i
\(370\) −31.1456 + 8.81990i −1.61918 + 0.458525i
\(371\) 6.45967 6.45967i 0.335369 0.335369i
\(372\) 9.59712 + 10.4167i 0.497587 + 0.540082i
\(373\) 16.0484i 0.830953i −0.909604 0.415477i \(-0.863615\pi\)
0.909604 0.415477i \(-0.136385\pi\)
\(374\) −1.67595 + 3.82289i −0.0866612 + 0.197677i
\(375\) 19.2915 10.4532i 0.996209 0.539799i
\(376\) −0.374813 0.182951i −0.0193295 0.00943496i
\(377\) −8.60964 + 8.60964i −0.443419 + 0.443419i
\(378\) −12.5850 + 4.91365i −0.647304 + 0.252731i
\(379\) 8.91367 8.91367i 0.457865 0.457865i −0.440089 0.897954i \(-0.645053\pi\)
0.897954 + 0.440089i \(0.145053\pi\)
\(380\) 2.98097 + 3.93602i 0.152921 + 0.201914i
\(381\) −12.3079 12.3079i −0.630552 0.630552i
\(382\) 1.66100 3.78880i 0.0849841 0.193852i
\(383\) 24.8928 + 24.8928i 1.27196 + 1.27196i 0.945057 + 0.326904i \(0.106005\pi\)
0.326904 + 0.945057i \(0.393995\pi\)
\(384\) 5.48131 + 21.5161i 0.279717 + 1.09799i
\(385\) 3.43764 + 4.17261i 0.175199 + 0.212656i
\(386\) 0.154763 0.0604250i 0.00787721 0.00307555i
\(387\) 8.44078 0.429069
\(388\) 0.221247 5.40265i 0.0112321 0.274278i
\(389\) 16.5819 + 16.5819i 0.840738 + 0.840738i 0.988955 0.148217i \(-0.0473534\pi\)
−0.148217 + 0.988955i \(0.547353\pi\)
\(390\) −10.0540 35.5035i −0.509103 1.79779i
\(391\) 19.2883 0.975452
\(392\) 4.99319 1.71758i 0.252194 0.0867510i
\(393\) −3.16987 3.16987i −0.159899 0.159899i
\(394\) 10.1090 + 4.43176i 0.509284 + 0.223269i
\(395\) 18.4904 15.2335i 0.930351 0.766478i
\(396\) 0.0743567 1.81572i 0.00373656 0.0912432i
\(397\) 8.62531i 0.432892i −0.976295 0.216446i \(-0.930553\pi\)
0.976295 0.216446i \(-0.0694465\pi\)
\(398\) −6.23123 + 14.2137i −0.312343 + 0.712466i
\(399\) 4.90897 0.245756
\(400\) 19.2517 + 5.41962i 0.962585 + 0.270981i
\(401\) 19.7107 0.984307 0.492153 0.870508i \(-0.336210\pi\)
0.492153 + 0.870508i \(0.336210\pi\)
\(402\) −10.0818 + 22.9969i −0.502833 + 1.14698i
\(403\) 21.4559i 1.06880i
\(404\) 14.0324 + 0.574651i 0.698139 + 0.0285900i
\(405\) 18.6894 15.3975i 0.928686 0.765107i
\(406\) −6.00928 2.63445i −0.298235 0.130746i
\(407\) 7.72426 + 7.72426i 0.382877 + 0.382877i
\(408\) 13.7968 + 6.73438i 0.683043 + 0.333402i
\(409\) −26.7930 −1.32483 −0.662414 0.749138i \(-0.730468\pi\)
−0.662414 + 0.749138i \(0.730468\pi\)
\(410\) −5.97391 21.0956i −0.295030 1.04184i
\(411\) 13.4154 + 13.4154i 0.661734 + 0.661734i
\(412\) 1.24974 + 0.0511790i 0.0615703 + 0.00252141i
\(413\) −11.1098 −0.546675
\(414\) −7.82225 + 3.05409i −0.384443 + 0.150100i
\(415\) −6.02633 7.31475i −0.295821 0.359067i
\(416\) 15.9781 29.5970i 0.783390 1.45111i
\(417\) −26.9702 26.9702i −1.32074 1.32074i
\(418\) 0.668995 1.52600i 0.0327216 0.0746391i
\(419\) −11.0752 11.0752i −0.541061 0.541061i 0.382779 0.923840i \(-0.374967\pi\)
−0.923840 + 0.382779i \(0.874967\pi\)
\(420\) 15.8516 12.0053i 0.773477 0.585797i
\(421\) −0.243092 + 0.243092i −0.0118476 + 0.0118476i −0.713006 0.701158i \(-0.752667\pi\)
0.701158 + 0.713006i \(0.252667\pi\)
\(422\) −16.6221 + 6.48985i −0.809149 + 0.315921i
\(423\) 0.0887804 0.0887804i 0.00431665 0.00431665i
\(424\) −10.7844 + 3.70967i −0.523737 + 0.180157i
\(425\) 11.4693 7.72666i 0.556342 0.374798i
\(426\) −4.05631 + 9.25259i −0.196529 + 0.448290i
\(427\) 2.18064i 0.105528i
\(428\) −25.8765 + 23.8405i −1.25079 + 1.15237i
\(429\) −8.80505 + 8.80505i −0.425112 + 0.425112i
\(430\) 30.1630 8.54163i 1.45459 0.411914i
\(431\) 20.7024i 0.997200i 0.866832 + 0.498600i \(0.166152\pi\)
−0.866832 + 0.498600i \(0.833848\pi\)
\(432\) 16.8098 + 1.37909i 0.808760 + 0.0663514i
\(433\) −5.68221 + 5.68221i −0.273069 + 0.273069i −0.830335 0.557265i \(-0.811851\pi\)
0.557265 + 0.830335i \(0.311851\pi\)
\(434\) 10.7704 4.20517i 0.516998 0.201855i
\(435\) 8.94480 + 0.863851i 0.428871 + 0.0414185i
\(436\) −0.975446 0.0399462i −0.0467154 0.00191307i
\(437\) −7.69939 −0.368312
\(438\) 10.7504 4.19735i 0.513674 0.200557i
\(439\) 18.7902i 0.896808i −0.893831 0.448404i \(-0.851993\pi\)
0.893831 0.448404i \(-0.148007\pi\)
\(440\) −1.57170 6.56368i −0.0749279 0.312911i
\(441\) 1.58955i 0.0756930i
\(442\) −8.45848 21.6642i −0.402329 1.03046i
\(443\) 12.1641 0.577934 0.288967 0.957339i \(-0.406688\pi\)
0.288967 + 0.957339i \(0.406688\pi\)
\(444\) 29.5489 27.2239i 1.40233 1.29199i
\(445\) 0.0735637 0.0606062i 0.00348725 0.00287301i
\(446\) 9.57824 + 24.5321i 0.453543 + 1.16163i
\(447\) 3.41105 3.41105i 0.161337 0.161337i
\(448\) 17.9886 + 2.21993i 0.849884 + 0.104882i
\(449\) 27.2708i 1.28699i 0.765452 + 0.643493i \(0.222516\pi\)
−0.765452 + 0.643493i \(0.777484\pi\)
\(450\) −3.42787 + 4.94953i −0.161591 + 0.233323i
\(451\) −5.23181 + 5.23181i −0.246356 + 0.246356i
\(452\) −15.3642 0.629191i −0.722672 0.0295946i
\(453\) 11.4517i 0.538047i
\(454\) 25.0536 + 10.9834i 1.17582 + 0.515479i
\(455\) −29.9826 2.89559i −1.40561 0.135748i
\(456\) −5.50732 2.68819i −0.257904 0.125886i
\(457\) −19.7514 + 19.7514i −0.923933 + 0.923933i −0.997305 0.0733714i \(-0.976624\pi\)
0.0733714 + 0.997305i \(0.476624\pi\)
\(458\) −9.61200 24.6186i −0.449139 1.15035i
\(459\) 8.24649 8.24649i 0.384913 0.384913i
\(460\) −24.8621 + 18.8295i −1.15920 + 0.877928i
\(461\) 12.9262 + 12.9262i 0.602035 + 0.602035i 0.940852 0.338818i \(-0.110027\pi\)
−0.338818 + 0.940852i \(0.610027\pi\)
\(462\) −6.14566 2.69424i −0.285922 0.125348i
\(463\) −14.5647 14.5647i −0.676879 0.676879i 0.282414 0.959293i \(-0.408865\pi\)
−0.959293 + 0.282414i \(0.908865\pi\)
\(464\) 5.29909 + 6.24629i 0.246004 + 0.289977i
\(465\) −12.2220 + 10.0692i −0.566781 + 0.466948i
\(466\) −15.0486 38.5431i −0.697114 1.78547i
\(467\) −42.3556 −1.95998 −0.979991 0.199040i \(-0.936218\pi\)
−0.979991 + 0.199040i \(0.936218\pi\)
\(468\) 6.86056 + 7.44646i 0.317130 + 0.344213i
\(469\) 14.4941 + 14.4941i 0.669274 + 0.669274i
\(470\) 0.227414 0.407096i 0.0104898 0.0187779i
\(471\) 6.17665 0.284605
\(472\) 12.4639 + 6.08378i 0.573698 + 0.280029i
\(473\) −7.48056 7.48056i −0.343956 0.343956i
\(474\) −11.9392 + 27.2337i −0.548385 + 1.25088i
\(475\) −4.57824 + 3.08428i −0.210064 + 0.141517i
\(476\) 9.21718 8.49196i 0.422469 0.389229i
\(477\) 3.43315i 0.157193i
\(478\) −18.2694 8.00925i −0.835622 0.366335i
\(479\) −27.0905 −1.23780 −0.618899 0.785470i \(-0.712421\pi\)
−0.618899 + 0.785470i \(0.712421\pi\)
\(480\) −24.3579 + 4.78814i −1.11178 + 0.218548i
\(481\) −60.8636 −2.77514
\(482\) 16.5802 + 7.26871i 0.755207 + 0.331081i
\(483\) 31.0078i 1.41090i
\(484\) 14.5048 13.3635i 0.659308 0.607433i
\(485\) 6.01741 + 0.581136i 0.273236 + 0.0263880i
\(486\) −4.88500 + 11.1429i −0.221588 + 0.505450i
\(487\) 21.9674 + 21.9674i 0.995436 + 0.995436i 0.999990 0.00455390i \(-0.00144956\pi\)
−0.00455390 + 0.999990i \(0.501450\pi\)
\(488\) −1.19413 + 2.44643i −0.0540559 + 0.110745i
\(489\) −15.3491 −0.694111
\(490\) 1.60855 + 5.68024i 0.0726667 + 0.256607i
\(491\) −6.11955 6.11955i −0.276171 0.276171i 0.555407 0.831579i \(-0.312562\pi\)
−0.831579 + 0.555407i \(0.812562\pi\)
\(492\) 18.4394 + 20.0141i 0.831311 + 0.902305i
\(493\) 5.66390 0.255089
\(494\) 3.37640 + 8.64777i 0.151912 + 0.389082i
\(495\) 2.02233 + 0.195308i 0.0908968 + 0.00877842i
\(496\) −14.3860 1.18024i −0.645951 0.0529945i
\(497\) 5.83157 + 5.83157i 0.261581 + 0.261581i
\(498\) 10.7736 + 4.72312i 0.482776 + 0.211648i
\(499\) −15.4115 15.4115i −0.689914 0.689914i 0.272298 0.962213i \(-0.412216\pi\)
−0.962213 + 0.272298i \(0.912216\pi\)
\(500\) −7.24075 + 21.1559i −0.323816 + 0.946120i
\(501\) −19.3986 + 19.3986i −0.866667 + 0.866667i
\(502\) −4.97625 12.7454i −0.222101 0.568853i
\(503\) 26.4312 26.4312i 1.17851 1.17851i 0.198387 0.980124i \(-0.436430\pi\)
0.980124 0.198387i \(-0.0635704\pi\)
\(504\) −2.39336 + 4.90330i −0.106609 + 0.218410i
\(505\) −1.50940 + 15.6292i −0.0671673 + 0.695488i
\(506\) 9.63905 + 4.22574i 0.428508 + 0.187857i
\(507\) 43.8671i 1.94820i
\(508\) 17.7236 + 0.725812i 0.786358 + 0.0322027i
\(509\) 0.233714 0.233714i 0.0103592 0.0103592i −0.701908 0.712267i \(-0.747668\pi\)
0.712267 + 0.701908i \(0.247668\pi\)
\(510\) −8.37107 + 14.9851i −0.370677 + 0.663553i
\(511\) 9.42101i 0.416761i
\(512\) −18.9656 12.3412i −0.838169 0.545410i
\(513\) −3.29178 + 3.29178i −0.145336 + 0.145336i
\(514\) −4.84827 12.4176i −0.213848 0.547716i
\(515\) −0.134428 + 1.39195i −0.00592362 + 0.0613365i
\(516\) −28.6166 + 26.3650i −1.25978 + 1.16066i
\(517\) −0.157362 −0.00692075
\(518\) −11.9287 30.5523i −0.524118 1.34239i
\(519\) 6.85397i 0.300856i
\(520\) 32.0515 + 19.6673i 1.40555 + 0.862466i
\(521\) 4.50147i 0.197213i 0.995127 + 0.0986064i \(0.0314385\pi\)
−0.995127 + 0.0986064i \(0.968562\pi\)
\(522\) −2.29696 + 0.896816i −0.100535 + 0.0392526i
\(523\) −12.6042 −0.551141 −0.275571 0.961281i \(-0.588867\pi\)
−0.275571 + 0.961281i \(0.588867\pi\)
\(524\) 4.56468 + 0.186931i 0.199409 + 0.00816613i
\(525\) 12.4213 + 18.4380i 0.542111 + 0.804699i
\(526\) −13.6377 + 5.32465i −0.594632 + 0.232166i
\(527\) −7.05746 + 7.05746i −0.307428 + 0.307428i
\(528\) 5.41936 + 6.38805i 0.235847 + 0.278004i
\(529\) 25.6336i 1.11450i
\(530\) −3.47417 12.2683i −0.150908 0.532901i
\(531\) −2.95227 + 2.95227i −0.128118 + 0.128118i
\(532\) −3.67926 + 3.38977i −0.159516 + 0.146965i
\(533\) 41.2242i 1.78562i
\(534\) −0.0474999 + 0.108349i −0.00205552 + 0.00468872i
\(535\) −25.0132 30.3610i −1.08142 1.31262i
\(536\) −8.32367 24.1978i −0.359528 1.04519i
\(537\) 25.6714 25.6714i 1.10780 1.10780i
\(538\) 29.7714 11.6238i 1.28354 0.501139i
\(539\) 1.40873 1.40873i 0.0606782 0.0606782i
\(540\) −2.57918 + 18.6798i −0.110990 + 0.803851i
\(541\) 14.5013 + 14.5013i 0.623459 + 0.623459i 0.946414 0.322955i \(-0.104676\pi\)
−0.322955 + 0.946414i \(0.604676\pi\)
\(542\) −2.04235 + 4.65868i −0.0877266 + 0.200107i
\(543\) −26.7672 26.7672i −1.14869 1.14869i
\(544\) −14.9909 + 4.47964i −0.642730 + 0.192063i
\(545\) 0.104924 1.08644i 0.00449444 0.0465380i
\(546\) 34.8272 13.5978i 1.49047 0.581932i
\(547\) 30.2936 1.29526 0.647630 0.761955i \(-0.275760\pi\)
0.647630 + 0.761955i \(0.275760\pi\)
\(548\) −19.3185 0.791125i −0.825246 0.0337952i
\(549\) −0.579476 0.579476i −0.0247314 0.0247314i
\(550\) 7.42439 1.34856i 0.316577 0.0575029i
\(551\) −2.26088 −0.0963169
\(552\) 16.9801 34.7873i 0.722721 1.48064i
\(553\) 17.1644 + 17.1644i 0.729904 + 0.729904i
\(554\) −27.1239 11.8911i −1.15239 0.505203i
\(555\) 28.5631 + 34.6699i 1.21244 + 1.47165i
\(556\) 38.8378 + 1.59047i 1.64709 + 0.0674510i
\(557\) 9.72758i 0.412171i −0.978534 0.206085i \(-0.933928\pi\)
0.978534 0.206085i \(-0.0660725\pi\)
\(558\) 1.74464 3.97958i 0.0738563 0.168469i
\(559\) 58.9433 2.49304
\(560\) −3.59075 + 19.9438i −0.151737 + 0.842780i
\(561\) 5.79245 0.244557
\(562\) −1.85506 + 4.23146i −0.0782510 + 0.178493i
\(563\) 17.7853i 0.749562i 0.927113 + 0.374781i \(0.122282\pi\)
−0.927113 + 0.374781i \(0.877718\pi\)
\(564\) −0.0236823 + 0.578299i −0.000997205 + 0.0243508i
\(565\) 1.65265 17.1125i 0.0695276 0.719928i
\(566\) 0.000196379 0 8.60919e-5i 8.25441e−6 0 3.61871e-6i
\(567\) 17.3492 + 17.3492i 0.728597 + 0.728597i
\(568\) −3.34896 9.73578i −0.140519 0.408504i
\(569\) −15.7897 −0.661938 −0.330969 0.943642i \(-0.607376\pi\)
−0.330969 + 0.943642i \(0.607376\pi\)
\(570\) 3.34151 5.98168i 0.139961 0.250545i
\(571\) 23.3108 + 23.3108i 0.975528 + 0.975528i 0.999708 0.0241793i \(-0.00769727\pi\)
−0.0241793 + 0.999708i \(0.507697\pi\)
\(572\) 0.519245 12.6795i 0.0217107 0.530155i
\(573\) −5.74079 −0.239825
\(574\) 20.6937 8.07958i 0.863739 0.337235i
\(575\) −19.4820 28.9187i −0.812456 1.20599i
\(576\) 5.37017 4.19033i 0.223757 0.174597i
\(577\) 25.7383 + 25.7383i 1.07150 + 1.07150i 0.997239 + 0.0742597i \(0.0236594\pi\)
0.0742597 + 0.997239i \(0.476341\pi\)
\(578\) 5.30920 12.1105i 0.220834 0.503729i
\(579\) −0.163026 0.163026i −0.00677514 0.00677514i
\(580\) −7.30061 + 5.52916i −0.303141 + 0.229586i
\(581\) 6.79020 6.79020i 0.281705 0.281705i
\(582\) −6.98969 + 2.72903i −0.289732 + 0.113122i
\(583\) −3.04260 + 3.04260i −0.126011 + 0.126011i
\(584\) −5.15902 + 10.5693i −0.213482 + 0.437362i
\(585\) −8.73697 + 7.19803i −0.361229 + 0.297602i
\(586\) −6.27967 + 14.3242i −0.259411 + 0.591725i
\(587\) 23.1327i 0.954790i 0.878689 + 0.477395i \(0.158419\pi\)
−0.878689 + 0.477395i \(0.841581\pi\)
\(588\) −4.96502 5.38904i −0.204754 0.222240i
\(589\) 2.81715 2.81715i 0.116079 0.116079i
\(590\) −7.56235 + 13.5374i −0.311337 + 0.557328i
\(591\) 15.3171i 0.630063i
\(592\) −3.34797 + 40.8085i −0.137601 + 1.67722i
\(593\) −25.5047 + 25.5047i −1.04735 + 1.04735i −0.0485322 + 0.998822i \(0.515454\pi\)
−0.998822 + 0.0485322i \(0.984546\pi\)
\(594\) 5.92773 2.31440i 0.243218 0.0949609i
\(595\) 8.90969 + 10.8146i 0.365261 + 0.443354i
\(596\) −0.201154 + 4.91199i −0.00823960 + 0.201203i
\(597\) 21.5365 0.881432
\(598\) −54.6241 + 21.3272i −2.23374 + 0.872135i
\(599\) 11.0699i 0.452304i 0.974092 + 0.226152i \(0.0726146\pi\)
−0.974092 + 0.226152i \(0.927385\pi\)
\(600\) −3.83858 27.4874i −0.156709 1.12217i
\(601\) 13.7579i 0.561197i −0.959825 0.280599i \(-0.909467\pi\)
0.959825 0.280599i \(-0.0905330\pi\)
\(602\) 11.5524 + 29.5884i 0.470839 + 1.20593i
\(603\) 7.70322 0.313700
\(604\) 7.90768 + 8.58300i 0.321759 + 0.349237i
\(605\) 14.0209 + 17.0185i 0.570030 + 0.691902i
\(606\) −7.08817 18.1545i −0.287937 0.737476i
\(607\) 18.4675 18.4675i 0.749573 0.749573i −0.224826 0.974399i \(-0.572181\pi\)
0.974399 + 0.224826i \(0.0721813\pi\)
\(608\) 5.98398 1.78815i 0.242683 0.0725193i
\(609\) 9.10526i 0.368964i
\(610\) −2.65715 1.48435i −0.107585 0.0600995i
\(611\) 0.619968 0.619968i 0.0250812 0.0250812i
\(612\) 0.192718 4.70598i 0.00779015 0.190228i
\(613\) 11.6810i 0.471790i 0.971779 + 0.235895i \(0.0758021\pi\)
−0.971779 + 0.235895i \(0.924198\pi\)
\(614\) 19.5988 + 8.59208i 0.790944 + 0.346748i
\(615\) −23.4826 + 19.3464i −0.946912 + 0.780122i
\(616\) 6.46660 2.22441i 0.260547 0.0896240i
\(617\) 29.1000 29.1000i 1.17152 1.17152i 0.189677 0.981847i \(-0.439256\pi\)
0.981847 0.189677i \(-0.0607441\pi\)
\(618\) −0.631279 1.61686i −0.0253938 0.0650395i
\(619\) −4.23279 + 4.23279i −0.170130 + 0.170130i −0.787036 0.616906i \(-0.788386\pi\)
0.616906 + 0.787036i \(0.288386\pi\)
\(620\) 2.20730 15.9864i 0.0886474 0.642030i
\(621\) −20.7927 20.7927i −0.834383 0.834383i
\(622\) −35.1723 15.4194i −1.41028 0.618263i
\(623\) 0.0682883 + 0.0682883i 0.00273591 + 0.00273591i
\(624\) −46.5185 3.81642i −1.86223 0.152779i
\(625\) −23.1689 9.39149i −0.926758 0.375660i
\(626\) 9.94314 + 25.4668i 0.397408 + 1.01786i
\(627\) −2.31220 −0.0923402
\(628\) −4.62938 + 4.26513i −0.184732 + 0.170197i
\(629\) 20.0197 + 20.0197i 0.798239 + 0.798239i
\(630\) −5.32563 2.97503i −0.212178 0.118528i
\(631\) −1.33886 −0.0532991 −0.0266496 0.999645i \(-0.508484\pi\)
−0.0266496 + 0.999645i \(0.508484\pi\)
\(632\) −9.85718 28.6559i −0.392097 1.13987i
\(633\) 17.5096 + 17.5096i 0.695944 + 0.695944i
\(634\) 14.6676 33.4573i 0.582524 1.32876i
\(635\) −1.90644 + 19.7404i −0.0756548 + 0.783373i
\(636\) 10.7235 + 11.6393i 0.425216 + 0.461530i
\(637\) 11.1001i 0.439803i
\(638\) 2.83045 + 1.24086i 0.112059 + 0.0491263i
\(639\) 3.09933 0.122608
\(640\) 14.9498 20.4084i 0.590943 0.806713i
\(641\) 24.5069 0.967965 0.483982 0.875078i \(-0.339190\pi\)
0.483982 + 0.875078i \(0.339190\pi\)
\(642\) 44.7175 + 19.6041i 1.76486 + 0.773710i
\(643\) 10.8979i 0.429771i 0.976639 + 0.214885i \(0.0689378\pi\)
−0.976639 + 0.214885i \(0.931062\pi\)
\(644\) −21.4117 23.2402i −0.843738 0.915793i
\(645\) −27.6619 33.5760i −1.08919 1.32205i
\(646\) 1.73390 3.95509i 0.0682194 0.155611i
\(647\) −11.6612 11.6612i −0.458448 0.458448i 0.439698 0.898146i \(-0.355085\pi\)
−0.898146 + 0.439698i \(0.855085\pi\)
\(648\) −9.96331 28.9644i −0.391396 1.13783i
\(649\) 5.23285 0.205407
\(650\) −23.9374 + 34.5634i −0.938901 + 1.35569i
\(651\) −11.3455 11.3455i −0.444666 0.444666i
\(652\) 11.5041 10.5990i 0.450536 0.415087i
\(653\) 5.28393 0.206776 0.103388 0.994641i \(-0.467032\pi\)
0.103388 + 0.994641i \(0.467032\pi\)
\(654\) 0.492726 + 1.26199i 0.0192671 + 0.0493476i
\(655\) −0.491000 + 5.08409i −0.0191849 + 0.198652i
\(656\) −27.6405 2.26765i −1.07918 0.0885369i
\(657\) −2.50351 2.50351i −0.0976713 0.0976713i
\(658\) 0.432720 + 0.189703i 0.0168692 + 0.00739540i
\(659\) 16.2902 + 16.2902i 0.634578 + 0.634578i 0.949213 0.314635i \(-0.101882\pi\)
−0.314635 + 0.949213i \(0.601882\pi\)
\(660\) −7.46631 + 5.65465i −0.290626 + 0.220107i
\(661\) −12.7924 + 12.7924i −0.497566 + 0.497566i −0.910679 0.413114i \(-0.864441\pi\)
0.413114 + 0.910679i \(0.364441\pi\)
\(662\) −9.90761 25.3757i −0.385070 0.986256i
\(663\) −22.8209 + 22.8209i −0.886291 + 0.886291i
\(664\) −11.3362 + 3.89948i −0.439930 + 0.151329i
\(665\) −3.55652 4.31690i −0.137916 0.167402i
\(666\) −11.2888 4.94897i −0.437431 0.191769i
\(667\) 14.2810i 0.552962i
\(668\) 1.14396 27.9344i 0.0442613 1.08082i
\(669\) 25.8420 25.8420i 0.999111 0.999111i
\(670\) 27.5273 7.79526i 1.06347 0.301157i
\(671\) 1.02711i 0.0396512i
\(672\) −7.20144 24.0993i −0.277802 0.929651i
\(673\) 11.9553 11.9553i 0.460841 0.460841i −0.438090 0.898931i \(-0.644345\pi\)
0.898931 + 0.438090i \(0.144345\pi\)
\(674\) 11.7046 + 29.9782i 0.450843 + 1.15472i
\(675\) −20.6931 4.03454i −0.796480 0.155290i
\(676\) 30.2913 + 32.8782i 1.16505 + 1.26455i
\(677\) −3.18699 −0.122486 −0.0612430 0.998123i \(-0.519506\pi\)
−0.0612430 + 0.998123i \(0.519506\pi\)
\(678\) 7.76090 + 19.8775i 0.298056 + 0.763391i
\(679\) 6.12535i 0.235069i
\(680\) −4.07353 17.0118i −0.156213 0.652371i
\(681\) 37.9613i 1.45468i
\(682\) −5.07303 + 1.98069i −0.194256 + 0.0758447i
\(683\) 35.1661 1.34559 0.672797 0.739827i \(-0.265093\pi\)
0.672797 + 0.739827i \(0.265093\pi\)
\(684\) −0.0769279 + 1.87850i −0.00294141 + 0.0718264i
\(685\) 2.07799 21.5167i 0.0793961 0.822112i
\(686\) −26.4647 + 10.3328i −1.01043 + 0.394508i
\(687\) −25.9331 + 25.9331i −0.989410 + 0.989410i
\(688\) 3.24234 39.5210i 0.123613 1.50672i
\(689\) 23.9743i 0.913346i
\(690\) 37.7836 + 21.1068i 1.43840 + 0.803523i
\(691\) 2.90121 2.90121i 0.110367 0.110367i −0.649767 0.760134i \(-0.725133\pi\)
0.760134 + 0.649767i \(0.225133\pi\)
\(692\) 4.73284 + 5.13703i 0.179916 + 0.195280i
\(693\) 2.05860i 0.0781999i
\(694\) −3.16594 + 7.22163i −0.120178 + 0.274129i
\(695\) −4.17758 + 43.2571i −0.158465 + 1.64083i
\(696\) 4.98611 10.2151i 0.188998 0.387202i
\(697\) −13.5598 + 13.5598i −0.513614 + 0.513614i
\(698\) −28.0966 + 10.9699i −1.06347 + 0.415218i
\(699\) −40.6011 + 40.6011i −1.53568 + 1.53568i
\(700\) −22.0416 5.24195i −0.833095 0.198127i
\(701\) 15.7397 + 15.7397i 0.594481 + 0.594481i 0.938839 0.344358i \(-0.111903\pi\)
−0.344358 + 0.938839i \(0.611903\pi\)
\(702\) −14.2357 + 32.4721i −0.537291 + 1.22558i
\(703\) −7.99136 7.99136i −0.301400 0.301400i
\(704\) −8.47290 1.04562i −0.319335 0.0394082i
\(705\) −0.644103 0.0622047i −0.0242583 0.00234276i
\(706\) 4.80440 1.87581i 0.180816 0.0705971i
\(707\) −15.9095 −0.598339
\(708\) 0.787524 19.2306i 0.0295970 0.722729i
\(709\) −1.95755 1.95755i −0.0735172 0.0735172i 0.669392 0.742909i \(-0.266555\pi\)
−0.742909 + 0.669392i \(0.766555\pi\)
\(710\) 11.0754 3.13636i 0.415652 0.117705i
\(711\) 9.12243 0.342118
\(712\) −0.0392167 0.114007i −0.00146971 0.00427260i
\(713\) 17.7947 + 17.7947i 0.666416 + 0.666416i
\(714\) −15.9283 6.98294i −0.596103 0.261330i
\(715\) 14.1222 + 1.36387i 0.528142 + 0.0510057i
\(716\) −1.51388 + 36.9674i −0.0565762 + 1.38154i
\(717\) 27.6818i 1.03379i
\(718\) 3.27760 7.47633i 0.122319 0.279014i
\(719\) −0.0658604 −0.00245618 −0.00122809 0.999999i \(-0.500391\pi\)
−0.00122809 + 0.999999i \(0.500391\pi\)
\(720\) 4.34562 + 6.25401i 0.161952 + 0.233073i
\(721\) −1.41692 −0.0527687
\(722\) 10.0964 23.0303i 0.375750 0.857100i
\(723\) 25.1223i 0.934309i
\(724\) 38.5454 + 1.57850i 1.43253 + 0.0586644i
\(725\) −5.72078 8.49181i −0.212465 0.315378i
\(726\) −25.0659 10.9888i −0.930283 0.407834i
\(727\) −16.2286 16.2286i −0.601885 0.601885i 0.338927 0.940813i \(-0.389936\pi\)
−0.940813 + 0.338927i \(0.889936\pi\)
\(728\) −16.7132 + 34.2406i −0.619434 + 1.26904i
\(729\) −15.6045 −0.577943
\(730\) −11.4797 6.41283i −0.424882 0.237350i
\(731\) −19.3881 19.3881i −0.717095 0.717095i
\(732\) 3.77460 + 0.154576i 0.139513 + 0.00571330i
\(733\) −0.669106 −0.0247140 −0.0123570 0.999924i \(-0.503933\pi\)
−0.0123570 + 0.999924i \(0.503933\pi\)
\(734\) −15.4724 + 6.04100i −0.571098 + 0.222977i
\(735\) 6.32298 5.20925i 0.233227 0.192146i
\(736\) 11.2950 + 37.7981i 0.416338 + 1.39326i
\(737\) −6.82691 6.82691i −0.251472 0.251472i
\(738\) 3.35205 7.64614i 0.123391 0.281458i
\(739\) 23.4183 + 23.4183i 0.861454 + 0.861454i 0.991507 0.130053i \(-0.0415147\pi\)
−0.130053 + 0.991507i \(0.541515\pi\)
\(740\) −45.3484 6.26141i −1.66704 0.230174i
\(741\) 9.10952 9.10952i 0.334647 0.334647i
\(742\) 12.0346 4.69874i 0.441804 0.172496i
\(743\) 30.0968 30.0968i 1.10414 1.10414i 0.110238 0.993905i \(-0.464839\pi\)
0.993905 0.110238i \(-0.0351614\pi\)
\(744\) 6.51552 + 18.9413i 0.238871 + 0.694422i
\(745\) −5.47092 0.528358i −0.200439 0.0193575i
\(746\) 9.11257 20.7861i 0.333635 0.761033i
\(747\) 3.60882i 0.132040i
\(748\) −4.34142 + 3.99983i −0.158738 + 0.146248i
\(749\) 28.1838 28.1838i 1.02981 1.02981i
\(750\) 30.9222 2.58501i 1.12912 0.0943911i
\(751\) 53.2724i 1.94394i −0.235107 0.971970i \(-0.575544\pi\)
0.235107 0.971970i \(-0.424456\pi\)
\(752\) −0.381580 0.449786i −0.0139148 0.0164020i
\(753\) −13.4259 + 13.4259i −0.489267 + 0.489267i
\(754\) −16.0401 + 6.26262i −0.584144 + 0.228071i
\(755\) −10.0705 + 8.29666i −0.366502 + 0.301946i
\(756\) −19.0904 0.781783i −0.694311 0.0284332i
\(757\) −27.1717 −0.987574 −0.493787 0.869583i \(-0.664388\pi\)
−0.493787 + 0.869583i \(0.664388\pi\)
\(758\) 16.6065 6.48377i 0.603174 0.235501i
\(759\) 14.6051i 0.530132i
\(760\) 1.62605 + 6.79065i 0.0589830 + 0.246323i
\(761\) 12.9068i 0.467870i 0.972252 + 0.233935i \(0.0751604\pi\)
−0.972252 + 0.233935i \(0.924840\pi\)
\(762\) −8.95270 22.9300i −0.324322 0.830666i
\(763\) 1.10593 0.0400374
\(764\) 4.30270 3.96416i 0.155666 0.143418i
\(765\) 5.24147 + 0.506198i 0.189506 + 0.0183016i
\(766\) 18.1069 + 46.3761i 0.654229 + 1.67564i
\(767\) −20.6162 + 20.6162i −0.744409 + 0.744409i
\(768\) −5.11775 + 30.9803i −0.184671 + 1.11791i
\(769\) 34.4858i 1.24359i −0.783180 0.621795i \(-0.786404\pi\)
0.783180 0.621795i \(-0.213596\pi\)
\(770\) 2.08320 + 7.35638i 0.0750733 + 0.265106i
\(771\) −13.0806 + 13.0806i −0.471087 + 0.471087i
\(772\) 0.234761 + 0.00961387i 0.00844925 + 0.000346011i
\(773\) 26.6789i 0.959574i −0.877385 0.479787i \(-0.840714\pi\)