Properties

Label 273.2.j.b.100.8
Level $273$
Weight $2$
Character 273.100
Analytic conductor $2.180$
Analytic rank $0$
Dimension $16$
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.j (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 11 x^{14} - 4 x^{13} + 87 x^{12} - 35 x^{11} + 326 x^{10} - 205 x^{9} + 895 x^{8} - 481 x^{7} + 1005 x^{6} - 544 x^{5} + 811 x^{4} - 312 x^{3} + 195 x^{2} + 13 x + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 100.8
Root \(1.21707 + 2.10803i\) of defining polynomial
Character \(\chi\) \(=\) 273.100
Dual form 273.2.j.b.172.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.21707 + 2.10803i) q^{2} -1.00000 q^{3} +(-1.96253 + 3.39920i) q^{4} +(-0.613891 + 1.06329i) q^{5} +(-1.21707 - 2.10803i) q^{6} +(-2.37183 + 1.17236i) q^{7} -4.68588 q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(1.21707 + 2.10803i) q^{2} -1.00000 q^{3} +(-1.96253 + 3.39920i) q^{4} +(-0.613891 + 1.06329i) q^{5} +(-1.21707 - 2.10803i) q^{6} +(-2.37183 + 1.17236i) q^{7} -4.68588 q^{8} +1.00000 q^{9} -2.98860 q^{10} +3.49255 q^{11} +(1.96253 - 3.39920i) q^{12} +(-2.87580 - 2.17480i) q^{13} +(-5.35806 - 3.57304i) q^{14} +(0.613891 - 1.06329i) q^{15} +(-1.77799 - 3.07957i) q^{16} +(-2.26353 + 3.92054i) q^{17} +(1.21707 + 2.10803i) q^{18} +1.35541 q^{19} +(-2.40956 - 4.17348i) q^{20} +(2.37183 - 1.17236i) q^{21} +(4.25069 + 7.36241i) q^{22} +(0.336664 + 0.583119i) q^{23} +4.68588 q^{24} +(1.74628 + 3.02464i) q^{25} +(1.08449 - 8.70917i) q^{26} -1.00000 q^{27} +(0.669691 - 10.3631i) q^{28} +(2.64824 - 4.58688i) q^{29} +2.98860 q^{30} +(4.99846 + 8.65759i) q^{31} +(-0.357986 + 0.620050i) q^{32} -3.49255 q^{33} -11.0195 q^{34} +(0.209483 - 3.24164i) q^{35} +(-1.96253 + 3.39920i) q^{36} +(1.54118 + 2.66940i) q^{37} +(1.64963 + 2.85725i) q^{38} +(2.87580 + 2.17480i) q^{39} +(2.87662 - 4.98245i) q^{40} +(3.61102 - 6.25447i) q^{41} +(5.35806 + 3.57304i) q^{42} +(4.48886 + 7.77494i) q^{43} +(-6.85424 + 11.8719i) q^{44} +(-0.613891 + 1.06329i) q^{45} +(-0.819488 + 1.41940i) q^{46} +(2.58008 - 4.46883i) q^{47} +(1.77799 + 3.07957i) q^{48} +(4.25114 - 5.56128i) q^{49} +(-4.25069 + 7.36241i) q^{50} +(2.26353 - 3.92054i) q^{51} +(13.0364 - 5.50732i) q^{52} +(-4.95271 - 8.57835i) q^{53} +(-1.21707 - 2.10803i) q^{54} +(-2.14405 + 3.71360i) q^{55} +(11.1141 - 5.49354i) q^{56} -1.35541 q^{57} +12.8924 q^{58} +(-0.401721 + 0.695802i) q^{59} +(2.40956 + 4.17348i) q^{60} +4.64974 q^{61} +(-12.1670 + 21.0738i) q^{62} +(-2.37183 + 1.17236i) q^{63} -8.85475 q^{64} +(4.07787 - 1.72272i) q^{65} +(-4.25069 - 7.36241i) q^{66} -2.12136 q^{67} +(-8.88448 - 15.3884i) q^{68} +(-0.336664 - 0.583119i) q^{69} +(7.08845 - 3.50372i) q^{70} +(-2.52793 - 4.37850i) q^{71} -4.68588 q^{72} +(-6.04227 - 10.4655i) q^{73} +(-3.75145 + 6.49771i) q^{74} +(-1.74628 - 3.02464i) q^{75} +(-2.66004 + 4.60732i) q^{76} +(-8.28373 + 4.09453i) q^{77} +(-1.08449 + 8.70917i) q^{78} +(-5.90140 + 10.2215i) q^{79} +4.36598 q^{80} +1.00000 q^{81} +17.5795 q^{82} +12.6805 q^{83} +(-0.669691 + 10.3631i) q^{84} +(-2.77912 - 4.81357i) q^{85} +(-10.9265 + 18.9253i) q^{86} +(-2.64824 + 4.58688i) q^{87} -16.3657 q^{88} +(1.55233 + 2.68871i) q^{89} -2.98860 q^{90} +(9.37056 + 1.78677i) q^{91} -2.64285 q^{92} +(-4.99846 - 8.65759i) q^{93} +12.5606 q^{94} +(-0.832075 + 1.44120i) q^{95} +(0.357986 - 0.620050i) q^{96} +(-3.59585 - 6.22820i) q^{97} +(16.8973 + 2.19305i) q^{98} +3.49255 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + O(q^{10}) \) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + 8q^{10} + 4q^{11} + 6q^{12} + 5q^{13} - 7q^{14} - 6q^{16} - 2q^{17} + 22q^{19} - 20q^{20} - q^{21} + 7q^{22} + 4q^{23} - 12q^{24} + 2q^{25} - 6q^{26} - 16q^{27} - 7q^{28} + 15q^{29} - 8q^{30} + 3q^{31} + 3q^{32} - 4q^{33} - 68q^{34} - 12q^{35} - 6q^{36} + 4q^{37} + 2q^{38} - 5q^{39} - 25q^{40} + 19q^{41} + 7q^{42} + 11q^{43} - 16q^{44} + 2q^{46} + 5q^{47} + 6q^{48} + 13q^{49} - 7q^{50} + 2q^{51} + 36q^{52} + 36q^{53} - 15q^{55} + 39q^{56} - 22q^{57} - 40q^{58} - 17q^{59} + 20q^{60} + 44q^{61} - 6q^{62} + q^{63} - 20q^{64} - 21q^{65} - 7q^{66} - 52q^{67} + 5q^{68} - 4q^{69} + 46q^{70} + 9q^{71} + 12q^{72} - 6q^{73} + 15q^{74} - 2q^{75} - 16q^{76} - 36q^{77} + 6q^{78} + 16q^{79} + 56q^{80} + 16q^{81} + 2q^{82} + 36q^{83} + 7q^{84} - 4q^{85} + 16q^{86} - 15q^{87} - 48q^{88} + 20q^{89} + 8q^{90} - 7q^{91} - 94q^{92} - 3q^{93} + 40q^{94} - 3q^{96} + 7q^{97} - 3q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.21707 + 2.10803i 0.860600 + 1.49060i 0.871351 + 0.490661i \(0.163245\pi\)
−0.0107503 + 0.999942i \(0.503422\pi\)
\(3\) −1.00000 −0.577350
\(4\) −1.96253 + 3.39920i −0.981265 + 1.69960i
\(5\) −0.613891 + 1.06329i −0.274540 + 0.475518i −0.970019 0.243029i \(-0.921859\pi\)
0.695479 + 0.718547i \(0.255192\pi\)
\(6\) −1.21707 2.10803i −0.496868 0.860600i
\(7\) −2.37183 + 1.17236i −0.896467 + 0.443111i
\(8\) −4.68588 −1.65671
\(9\) 1.00000 0.333333
\(10\) −2.98860 −0.945078
\(11\) 3.49255 1.05304 0.526522 0.850162i \(-0.323496\pi\)
0.526522 + 0.850162i \(0.323496\pi\)
\(12\) 1.96253 3.39920i 0.566534 0.981265i
\(13\) −2.87580 2.17480i −0.797604 0.603181i
\(14\) −5.35806 3.57304i −1.43200 0.954935i
\(15\) 0.613891 1.06329i 0.158506 0.274540i
\(16\) −1.77799 3.07957i −0.444498 0.769894i
\(17\) −2.26353 + 3.92054i −0.548986 + 0.950871i 0.449359 + 0.893351i \(0.351653\pi\)
−0.998344 + 0.0575196i \(0.981681\pi\)
\(18\) 1.21707 + 2.10803i 0.286867 + 0.496868i
\(19\) 1.35541 0.310953 0.155476 0.987840i \(-0.450309\pi\)
0.155476 + 0.987840i \(0.450309\pi\)
\(20\) −2.40956 4.17348i −0.538794 0.933219i
\(21\) 2.37183 1.17236i 0.517575 0.255830i
\(22\) 4.25069 + 7.36241i 0.906250 + 1.56967i
\(23\) 0.336664 + 0.583119i 0.0701992 + 0.121589i 0.898989 0.437972i \(-0.144303\pi\)
−0.828789 + 0.559561i \(0.810970\pi\)
\(24\) 4.68588 0.956501
\(25\) 1.74628 + 3.02464i 0.349255 + 0.604928i
\(26\) 1.08449 8.70917i 0.212686 1.70801i
\(27\) −1.00000 −0.192450
\(28\) 0.669691 10.3631i 0.126560 1.95845i
\(29\) 2.64824 4.58688i 0.491766 0.851763i −0.508189 0.861245i \(-0.669685\pi\)
0.999955 + 0.00948238i \(0.00301838\pi\)
\(30\) 2.98860 0.545641
\(31\) 4.99846 + 8.65759i 0.897750 + 1.55495i 0.830364 + 0.557222i \(0.188133\pi\)
0.0673864 + 0.997727i \(0.478534\pi\)
\(32\) −0.357986 + 0.620050i −0.0632836 + 0.109610i
\(33\) −3.49255 −0.607975
\(34\) −11.0195 −1.88983
\(35\) 0.209483 3.24164i 0.0354091 0.547938i
\(36\) −1.96253 + 3.39920i −0.327088 + 0.566534i
\(37\) 1.54118 + 2.66940i 0.253368 + 0.438847i 0.964451 0.264262i \(-0.0851282\pi\)
−0.711083 + 0.703108i \(0.751795\pi\)
\(38\) 1.64963 + 2.85725i 0.267606 + 0.463507i
\(39\) 2.87580 + 2.17480i 0.460497 + 0.348247i
\(40\) 2.87662 4.98245i 0.454834 0.787795i
\(41\) 3.61102 6.25447i 0.563947 0.976784i −0.433200 0.901298i \(-0.642616\pi\)
0.997147 0.0754865i \(-0.0240510\pi\)
\(42\) 5.35806 + 3.57304i 0.826767 + 0.551332i
\(43\) 4.48886 + 7.77494i 0.684545 + 1.18567i 0.973579 + 0.228348i \(0.0733325\pi\)
−0.289034 + 0.957319i \(0.593334\pi\)
\(44\) −6.85424 + 11.8719i −1.03332 + 1.78975i
\(45\) −0.613891 + 1.06329i −0.0915135 + 0.158506i
\(46\) −0.819488 + 1.41940i −0.120827 + 0.209278i
\(47\) 2.58008 4.46883i 0.376344 0.651846i −0.614184 0.789163i \(-0.710515\pi\)
0.990527 + 0.137317i \(0.0438479\pi\)
\(48\) 1.77799 + 3.07957i 0.256631 + 0.444498i
\(49\) 4.25114 5.56128i 0.607305 0.794469i
\(50\) −4.25069 + 7.36241i −0.601138 + 1.04120i
\(51\) 2.26353 3.92054i 0.316957 0.548986i
\(52\) 13.0364 5.50732i 1.80783 0.763728i
\(53\) −4.95271 8.57835i −0.680308 1.17833i −0.974887 0.222700i \(-0.928513\pi\)
0.294579 0.955627i \(-0.404820\pi\)
\(54\) −1.21707 2.10803i −0.165623 0.286867i
\(55\) −2.14405 + 3.71360i −0.289103 + 0.500741i
\(56\) 11.1141 5.49354i 1.48518 0.734106i
\(57\) −1.35541 −0.179529
\(58\) 12.8924 1.69285
\(59\) −0.401721 + 0.695802i −0.0522997 + 0.0905857i −0.890990 0.454023i \(-0.849988\pi\)
0.838690 + 0.544609i \(0.183322\pi\)
\(60\) 2.40956 + 4.17348i 0.311073 + 0.538794i
\(61\) 4.64974 0.595339 0.297669 0.954669i \(-0.403791\pi\)
0.297669 + 0.954669i \(0.403791\pi\)
\(62\) −12.1670 + 21.0738i −1.54521 + 2.67638i
\(63\) −2.37183 + 1.17236i −0.298822 + 0.147704i
\(64\) −8.85475 −1.10684
\(65\) 4.07787 1.72272i 0.505798 0.213677i
\(66\) −4.25069 7.36241i −0.523223 0.906250i
\(67\) −2.12136 −0.259165 −0.129583 0.991569i \(-0.541364\pi\)
−0.129583 + 0.991569i \(0.541364\pi\)
\(68\) −8.88448 15.3884i −1.07740 1.86611i
\(69\) −0.336664 0.583119i −0.0405295 0.0701992i
\(70\) 7.08845 3.50372i 0.847231 0.418775i
\(71\) −2.52793 4.37850i −0.300010 0.519632i 0.676128 0.736784i \(-0.263657\pi\)
−0.976138 + 0.217152i \(0.930323\pi\)
\(72\) −4.68588 −0.552236
\(73\) −6.04227 10.4655i −0.707194 1.22490i −0.965894 0.258939i \(-0.916627\pi\)
0.258699 0.965958i \(-0.416706\pi\)
\(74\) −3.75145 + 6.49771i −0.436098 + 0.755343i
\(75\) −1.74628 3.02464i −0.201643 0.349255i
\(76\) −2.66004 + 4.60732i −0.305127 + 0.528496i
\(77\) −8.28373 + 4.09453i −0.944019 + 0.466615i
\(78\) −1.08449 + 8.70917i −0.122794 + 0.986120i
\(79\) −5.90140 + 10.2215i −0.663960 + 1.15001i 0.315607 + 0.948890i \(0.397792\pi\)
−0.979566 + 0.201122i \(0.935541\pi\)
\(80\) 4.36598 0.488131
\(81\) 1.00000 0.111111
\(82\) 17.5795 1.94133
\(83\) 12.6805 1.39187 0.695935 0.718105i \(-0.254990\pi\)
0.695935 + 0.718105i \(0.254990\pi\)
\(84\) −0.669691 + 10.3631i −0.0730693 + 1.13071i
\(85\) −2.77912 4.81357i −0.301438 0.522105i
\(86\) −10.9265 + 18.9253i −1.17824 + 2.04077i
\(87\) −2.64824 + 4.58688i −0.283921 + 0.491766i
\(88\) −16.3657 −1.74459
\(89\) 1.55233 + 2.68871i 0.164546 + 0.285003i 0.936494 0.350683i \(-0.114051\pi\)
−0.771948 + 0.635686i \(0.780717\pi\)
\(90\) −2.98860 −0.315026
\(91\) 9.37056 + 1.78677i 0.982302 + 0.187305i
\(92\) −2.64285 −0.275536
\(93\) −4.99846 8.65759i −0.518316 0.897750i
\(94\) 12.5606 1.29553
\(95\) −0.832075 + 1.44120i −0.0853691 + 0.147864i
\(96\) 0.357986 0.620050i 0.0365368 0.0632836i
\(97\) −3.59585 6.22820i −0.365104 0.632378i 0.623689 0.781672i \(-0.285633\pi\)
−0.988793 + 0.149294i \(0.952300\pi\)
\(98\) 16.8973 + 2.19305i 1.70688 + 0.221531i
\(99\) 3.49255 0.351015
\(100\) −13.7085 −1.37085
\(101\) −1.54577 −0.153810 −0.0769050 0.997038i \(-0.524504\pi\)
−0.0769050 + 0.997038i \(0.524504\pi\)
\(102\) 11.0195 1.09109
\(103\) −2.75895 + 4.77865i −0.271848 + 0.470854i −0.969335 0.245743i \(-0.920968\pi\)
0.697487 + 0.716597i \(0.254301\pi\)
\(104\) 13.4757 + 10.1909i 1.32140 + 0.999296i
\(105\) −0.209483 + 3.24164i −0.0204435 + 0.316352i
\(106\) 12.0556 20.8810i 1.17095 2.02814i
\(107\) −0.724187 1.25433i −0.0700098 0.121261i 0.828896 0.559403i \(-0.188970\pi\)
−0.898905 + 0.438143i \(0.855636\pi\)
\(108\) 1.96253 3.39920i 0.188845 0.327088i
\(109\) −8.20485 14.2112i −0.785882 1.36119i −0.928471 0.371406i \(-0.878876\pi\)
0.142588 0.989782i \(-0.454458\pi\)
\(110\) −10.4378 −0.995209
\(111\) −1.54118 2.66940i −0.146282 0.253368i
\(112\) 7.82747 + 5.21977i 0.739626 + 0.493222i
\(113\) 5.38049 + 9.31929i 0.506154 + 0.876685i 0.999975 + 0.00712097i \(0.00226669\pi\)
−0.493820 + 0.869564i \(0.664400\pi\)
\(114\) −1.64963 2.85725i −0.154502 0.267606i
\(115\) −0.826699 −0.0770901
\(116\) 10.3945 + 18.0038i 0.965105 + 1.67161i
\(117\) −2.87580 2.17480i −0.265868 0.201060i
\(118\) −1.95570 −0.180036
\(119\) 0.772402 11.9525i 0.0708060 1.09569i
\(120\) −2.87662 + 4.98245i −0.262598 + 0.454834i
\(121\) 1.19791 0.108901
\(122\) 5.65908 + 9.80181i 0.512349 + 0.887414i
\(123\) −3.61102 + 6.25447i −0.325595 + 0.563947i
\(124\) −39.2385 −3.52372
\(125\) −10.4270 −0.932619
\(126\) −5.35806 3.57304i −0.477334 0.318312i
\(127\) 8.24568 14.2819i 0.731686 1.26732i −0.224476 0.974480i \(-0.572067\pi\)
0.956162 0.292838i \(-0.0945996\pi\)
\(128\) −10.0609 17.4260i −0.889267 1.54026i
\(129\) −4.48886 7.77494i −0.395222 0.684545i
\(130\) 8.59462 + 6.49961i 0.753798 + 0.570053i
\(131\) 3.52172 6.09979i 0.307694 0.532942i −0.670164 0.742213i \(-0.733776\pi\)
0.977857 + 0.209272i \(0.0671094\pi\)
\(132\) 6.85424 11.8719i 0.596585 1.03332i
\(133\) −3.21480 + 1.58903i −0.278759 + 0.137787i
\(134\) −2.58185 4.47189i −0.223038 0.386312i
\(135\) 0.613891 1.06329i 0.0528353 0.0915135i
\(136\) 10.6066 18.3712i 0.909509 1.57532i
\(137\) 9.66065 16.7327i 0.825365 1.42957i −0.0762752 0.997087i \(-0.524303\pi\)
0.901640 0.432487i \(-0.142364\pi\)
\(138\) 0.819488 1.41940i 0.0697595 0.120827i
\(139\) 7.76176 + 13.4438i 0.658343 + 1.14028i 0.981044 + 0.193783i \(0.0620759\pi\)
−0.322701 + 0.946501i \(0.604591\pi\)
\(140\) 10.6079 + 7.07390i 0.896530 + 0.597854i
\(141\) −2.58008 + 4.46883i −0.217282 + 0.376344i
\(142\) 6.15334 10.6579i 0.516377 0.894392i
\(143\) −10.0439 7.59560i −0.839912 0.635176i
\(144\) −1.77799 3.07957i −0.148166 0.256631i
\(145\) 3.25146 + 5.63169i 0.270019 + 0.467687i
\(146\) 14.7078 25.4746i 1.21722 2.10829i
\(147\) −4.25114 + 5.56128i −0.350628 + 0.458687i
\(148\) −12.0984 −0.994486
\(149\) 17.5332 1.43637 0.718187 0.695850i \(-0.244972\pi\)
0.718187 + 0.695850i \(0.244972\pi\)
\(150\) 4.25069 7.36241i 0.347067 0.601138i
\(151\) −7.01950 12.1581i −0.571239 0.989415i −0.996439 0.0843154i \(-0.973130\pi\)
0.425200 0.905099i \(-0.360204\pi\)
\(152\) −6.35130 −0.515158
\(153\) −2.26353 + 3.92054i −0.182995 + 0.316957i
\(154\) −18.7133 12.4790i −1.50796 1.00559i
\(155\) −12.2740 −0.985875
\(156\) −13.0364 + 5.50732i −1.04375 + 0.440939i
\(157\) 5.62295 + 9.73923i 0.448760 + 0.777275i 0.998306 0.0581884i \(-0.0185324\pi\)
−0.549545 + 0.835464i \(0.685199\pi\)
\(158\) −28.7297 −2.28562
\(159\) 4.95271 + 8.57835i 0.392776 + 0.680308i
\(160\) −0.439529 0.761287i −0.0347478 0.0601850i
\(161\) −1.48213 0.988365i −0.116809 0.0778941i
\(162\) 1.21707 + 2.10803i 0.0956222 + 0.165623i
\(163\) 11.6079 0.909205 0.454602 0.890695i \(-0.349781\pi\)
0.454602 + 0.890695i \(0.349781\pi\)
\(164\) 14.1735 + 24.5492i 1.10676 + 1.91697i
\(165\) 2.14405 3.71360i 0.166914 0.289103i
\(166\) 15.4331 + 26.7310i 1.19784 + 2.07472i
\(167\) 3.44594 5.96855i 0.266655 0.461860i −0.701341 0.712826i \(-0.747415\pi\)
0.967996 + 0.250966i \(0.0807482\pi\)
\(168\) −11.1141 + 5.49354i −0.857471 + 0.423836i
\(169\) 3.54048 + 12.5086i 0.272345 + 0.962200i
\(170\) 6.76477 11.7169i 0.518834 0.898648i
\(171\) 1.35541 0.103651
\(172\) −35.2381 −2.68688
\(173\) −15.8386 −1.20419 −0.602093 0.798426i \(-0.705666\pi\)
−0.602093 + 0.798426i \(0.705666\pi\)
\(174\) −12.8924 −0.977370
\(175\) −7.68783 5.12665i −0.581146 0.387539i
\(176\) −6.20973 10.7556i −0.468076 0.810732i
\(177\) 0.401721 0.695802i 0.0301952 0.0522997i
\(178\) −3.77859 + 6.54471i −0.283217 + 0.490547i
\(179\) 21.1031 1.57732 0.788658 0.614832i \(-0.210776\pi\)
0.788658 + 0.614832i \(0.210776\pi\)
\(180\) −2.40956 4.17348i −0.179598 0.311073i
\(181\) 15.0685 1.12003 0.560015 0.828483i \(-0.310796\pi\)
0.560015 + 0.828483i \(0.310796\pi\)
\(182\) 7.63808 + 21.9281i 0.566172 + 1.62542i
\(183\) −4.64974 −0.343719
\(184\) −1.57757 2.73242i −0.116300 0.201437i
\(185\) −3.78446 −0.278239
\(186\) 12.1670 21.0738i 0.892126 1.54521i
\(187\) −7.90548 + 13.6927i −0.578106 + 1.00131i
\(188\) 10.1270 + 17.5404i 0.738586 + 1.27927i
\(189\) 2.37183 1.17236i 0.172525 0.0852768i
\(190\) −4.05078 −0.293875
\(191\) −9.49806 −0.687255 −0.343628 0.939106i \(-0.611656\pi\)
−0.343628 + 0.939106i \(0.611656\pi\)
\(192\) 8.85475 0.639037
\(193\) −18.5435 −1.33479 −0.667395 0.744704i \(-0.732591\pi\)
−0.667395 + 0.744704i \(0.732591\pi\)
\(194\) 8.75283 15.1603i 0.628416 1.08845i
\(195\) −4.07787 + 1.72272i −0.292023 + 0.123367i
\(196\) 10.5609 + 25.3647i 0.754352 + 1.81176i
\(197\) −12.8786 + 22.3065i −0.917565 + 1.58927i −0.114463 + 0.993427i \(0.536515\pi\)
−0.803102 + 0.595842i \(0.796819\pi\)
\(198\) 4.25069 + 7.36241i 0.302083 + 0.523223i
\(199\) −8.84779 + 15.3248i −0.627203 + 1.08635i 0.360907 + 0.932602i \(0.382467\pi\)
−0.988110 + 0.153746i \(0.950866\pi\)
\(200\) −8.18284 14.1731i −0.578614 1.00219i
\(201\) 2.12136 0.149629
\(202\) −1.88132 3.25854i −0.132369 0.229270i
\(203\) −0.903681 + 13.9840i −0.0634259 + 0.981484i
\(204\) 8.88448 + 15.3884i 0.622038 + 1.07740i
\(205\) 4.43355 + 7.67913i 0.309652 + 0.536334i
\(206\) −13.4314 −0.935809
\(207\) 0.336664 + 0.583119i 0.0233997 + 0.0405295i
\(208\) −1.58430 + 12.7230i −0.109852 + 0.882183i
\(209\) 4.73385 0.327447
\(210\) −7.08845 + 3.50372i −0.489149 + 0.241780i
\(211\) −6.23896 + 10.8062i −0.429508 + 0.743929i −0.996830 0.0795669i \(-0.974646\pi\)
0.567322 + 0.823496i \(0.307980\pi\)
\(212\) 38.8794 2.67025
\(213\) 2.52793 + 4.37850i 0.173211 + 0.300010i
\(214\) 1.76278 3.05322i 0.120501 0.208714i
\(215\) −11.0227 −0.751741
\(216\) 4.68588 0.318834
\(217\) −22.0053 14.6743i −1.49382 0.996157i
\(218\) 19.9718 34.5922i 1.35266 2.34288i
\(219\) 6.04227 + 10.4655i 0.408299 + 0.707194i
\(220\) −8.41551 14.5761i −0.567374 0.982720i
\(221\) 15.0359 6.35199i 1.01142 0.427281i
\(222\) 3.75145 6.49771i 0.251781 0.436098i
\(223\) −4.65232 + 8.05805i −0.311542 + 0.539607i −0.978696 0.205313i \(-0.934179\pi\)
0.667154 + 0.744920i \(0.267512\pi\)
\(224\) 0.122159 1.89034i 0.00816207 0.126304i
\(225\) 1.74628 + 3.02464i 0.116418 + 0.201643i
\(226\) −13.0969 + 22.6845i −0.871193 + 1.50895i
\(227\) −4.76651 + 8.25583i −0.316364 + 0.547959i −0.979727 0.200340i \(-0.935795\pi\)
0.663362 + 0.748298i \(0.269129\pi\)
\(228\) 2.66004 4.60732i 0.176165 0.305127i
\(229\) 3.22423 5.58453i 0.213063 0.369036i −0.739608 0.673037i \(-0.764989\pi\)
0.952672 + 0.304001i \(0.0983226\pi\)
\(230\) −1.00615 1.74271i −0.0663438 0.114911i
\(231\) 8.28373 4.09453i 0.545029 0.269400i
\(232\) −12.4093 + 21.4936i −0.814712 + 1.41112i
\(233\) 12.2379 21.1967i 0.801733 1.38864i −0.116742 0.993162i \(-0.537245\pi\)
0.918475 0.395479i \(-0.129421\pi\)
\(234\) 1.08449 8.70917i 0.0708952 0.569336i
\(235\) 3.16778 + 5.48675i 0.206643 + 0.357916i
\(236\) −1.57678 2.73107i −0.102640 0.177777i
\(237\) 5.90140 10.2215i 0.383337 0.663960i
\(238\) 26.1364 12.9188i 1.69417 0.837404i
\(239\) 3.62130 0.234242 0.117121 0.993118i \(-0.462633\pi\)
0.117121 + 0.993118i \(0.462633\pi\)
\(240\) −4.36598 −0.281823
\(241\) −12.5649 + 21.7631i −0.809377 + 1.40188i 0.103919 + 0.994586i \(0.466862\pi\)
−0.913296 + 0.407297i \(0.866471\pi\)
\(242\) 1.45795 + 2.52524i 0.0937203 + 0.162328i
\(243\) −1.00000 −0.0641500
\(244\) −9.12527 + 15.8054i −0.584185 + 1.01184i
\(245\) 3.30352 + 7.93421i 0.211054 + 0.506898i
\(246\) −17.5795 −1.12083
\(247\) −3.89790 2.94775i −0.248017 0.187561i
\(248\) −23.4222 40.5684i −1.48731 2.57610i
\(249\) −12.6805 −0.803596
\(250\) −12.6904 21.9804i −0.802613 1.39017i
\(251\) 0.280269 + 0.485440i 0.0176904 + 0.0306407i 0.874735 0.484601i \(-0.161035\pi\)
−0.857045 + 0.515242i \(0.827702\pi\)
\(252\) 0.669691 10.3631i 0.0421866 0.652815i
\(253\) 1.17581 + 2.03657i 0.0739229 + 0.128038i
\(254\) 40.1424 2.51876
\(255\) 2.77912 + 4.81357i 0.174035 + 0.301438i
\(256\) 15.6349 27.0805i 0.977184 1.69253i
\(257\) 11.8793 + 20.5756i 0.741013 + 1.28347i 0.952034 + 0.305991i \(0.0989879\pi\)
−0.211021 + 0.977482i \(0.567679\pi\)
\(258\) 10.9265 18.9253i 0.680257 1.17824i
\(259\) −6.78491 4.52454i −0.421594 0.281141i
\(260\) −2.14707 + 17.2424i −0.133156 + 1.06933i
\(261\) 2.64824 4.58688i 0.163922 0.283921i
\(262\) 17.1447 1.05921
\(263\) −7.07522 −0.436277 −0.218138 0.975918i \(-0.569998\pi\)
−0.218138 + 0.975918i \(0.569998\pi\)
\(264\) 16.3657 1.00724
\(265\) 12.1617 0.747088
\(266\) −7.26238 4.84294i −0.445285 0.296940i
\(267\) −1.55233 2.68871i −0.0950009 0.164546i
\(268\) 4.16323 7.21093i 0.254310 0.440478i
\(269\) 5.19422 8.99665i 0.316697 0.548536i −0.663100 0.748531i \(-0.730759\pi\)
0.979797 + 0.199996i \(0.0640928\pi\)
\(270\) 2.98860 0.181880
\(271\) 0.0613862 + 0.106324i 0.00372894 + 0.00645872i 0.867884 0.496767i \(-0.165480\pi\)
−0.864155 + 0.503226i \(0.832146\pi\)
\(272\) 16.0981 0.976093
\(273\) −9.37056 1.78677i −0.567132 0.108140i
\(274\) 47.0308 2.84124
\(275\) 6.09896 + 10.5637i 0.367781 + 0.637015i
\(276\) 2.64285 0.159081
\(277\) 2.68599 4.65228i 0.161386 0.279528i −0.773980 0.633210i \(-0.781737\pi\)
0.935366 + 0.353682i \(0.115070\pi\)
\(278\) −18.8932 + 32.7240i −1.13314 + 1.96266i
\(279\) 4.99846 + 8.65759i 0.299250 + 0.518316i
\(280\) −0.981613 + 15.1900i −0.0586626 + 0.907774i
\(281\) −14.8847 −0.887945 −0.443972 0.896040i \(-0.646431\pi\)
−0.443972 + 0.896040i \(0.646431\pi\)
\(282\) −12.5606 −0.747972
\(283\) 4.48537 0.266628 0.133314 0.991074i \(-0.457438\pi\)
0.133314 + 0.991074i \(0.457438\pi\)
\(284\) 19.8446 1.17756
\(285\) 0.832075 1.44120i 0.0492879 0.0853691i
\(286\) 3.78763 30.4172i 0.223967 1.79861i
\(287\) −1.23222 + 19.0680i −0.0727356 + 1.12555i
\(288\) −0.357986 + 0.620050i −0.0210945 + 0.0365368i
\(289\) −1.74710 3.02606i −0.102770 0.178004i
\(290\) −7.91453 + 13.7084i −0.464757 + 0.804983i
\(291\) 3.59585 + 6.22820i 0.210793 + 0.365104i
\(292\) 47.4326 2.77578
\(293\) −11.0016 19.0553i −0.642719 1.11322i −0.984823 0.173560i \(-0.944473\pi\)
0.342105 0.939662i \(-0.388860\pi\)
\(294\) −16.8973 2.19305i −0.985470 0.127901i
\(295\) −0.493226 0.854293i −0.0287168 0.0497389i
\(296\) −7.22178 12.5085i −0.419757 0.727041i
\(297\) −3.49255 −0.202658
\(298\) 21.3392 + 36.9605i 1.23614 + 2.14106i
\(299\) 0.299989 2.40911i 0.0173488 0.139322i
\(300\) 13.7085 0.791459
\(301\) −19.7619 13.1782i −1.13905 0.759582i
\(302\) 17.0865 29.5947i 0.983217 1.70298i
\(303\) 1.54577 0.0888023
\(304\) −2.40991 4.17409i −0.138218 0.239401i
\(305\) −2.85444 + 4.94403i −0.163445 + 0.283094i
\(306\) −11.0195 −0.629943
\(307\) 32.9959 1.88318 0.941589 0.336764i \(-0.109333\pi\)
0.941589 + 0.336764i \(0.109333\pi\)
\(308\) 2.33893 36.1937i 0.133273 2.06233i
\(309\) 2.75895 4.77865i 0.156951 0.271848i
\(310\) −14.9384 25.8741i −0.848444 1.46955i
\(311\) 4.11532 + 7.12794i 0.233358 + 0.404188i 0.958794 0.284101i \(-0.0916952\pi\)
−0.725436 + 0.688290i \(0.758362\pi\)
\(312\) −13.4757 10.1909i −0.762909 0.576944i
\(313\) 7.14348 12.3729i 0.403773 0.699356i −0.590405 0.807107i \(-0.701032\pi\)
0.994178 + 0.107752i \(0.0343651\pi\)
\(314\) −13.6871 + 23.7067i −0.772406 + 1.33785i
\(315\) 0.209483 3.24164i 0.0118030 0.182646i
\(316\) −23.1634 40.1201i −1.30304 2.25693i
\(317\) 4.68195 8.10938i 0.262965 0.455468i −0.704064 0.710137i \(-0.748633\pi\)
0.967028 + 0.254669i \(0.0819664\pi\)
\(318\) −12.0556 + 20.8810i −0.676046 + 1.17095i
\(319\) 9.24911 16.0199i 0.517851 0.896944i
\(320\) 5.43585 9.41518i 0.303874 0.526324i
\(321\) 0.724187 + 1.25433i 0.0404202 + 0.0700098i
\(322\) 0.279641 4.32730i 0.0155838 0.241151i
\(323\) −3.06801 + 5.31395i −0.170709 + 0.295676i
\(324\) −1.96253 + 3.39920i −0.109029 + 0.188845i
\(325\) 1.55604 12.4961i 0.0863137 0.693157i
\(326\) 14.1277 + 24.4699i 0.782462 + 1.35526i
\(327\) 8.20485 + 14.2112i 0.453729 + 0.785882i
\(328\) −16.9208 + 29.3077i −0.934295 + 1.61825i
\(329\) −0.880423 + 13.6241i −0.0485393 + 0.751121i
\(330\) 10.4378 0.574584
\(331\) −24.4779 −1.34543 −0.672714 0.739903i \(-0.734871\pi\)
−0.672714 + 0.739903i \(0.734871\pi\)
\(332\) −24.8859 + 43.1037i −1.36579 + 2.36562i
\(333\) 1.54118 + 2.66940i 0.0844561 + 0.146282i
\(334\) 16.7759 0.917934
\(335\) 1.30228 2.25562i 0.0711513 0.123238i
\(336\) −7.82747 5.21977i −0.427023 0.284762i
\(337\) −13.1685 −0.717334 −0.358667 0.933466i \(-0.616769\pi\)
−0.358667 + 0.933466i \(0.616769\pi\)
\(338\) −22.0595 + 22.6873i −1.19988 + 1.23403i
\(339\) −5.38049 9.31929i −0.292228 0.506154i
\(340\) 21.8164 1.18316
\(341\) 17.4574 + 30.2371i 0.945370 + 1.63743i
\(342\) 1.64963 + 2.85725i 0.0892020 + 0.154502i
\(343\) −3.56314 + 18.1743i −0.192391 + 0.981318i
\(344\) −21.0343 36.4324i −1.13409 1.96430i
\(345\) 0.826699 0.0445080
\(346\) −19.2767 33.3882i −1.03632 1.79496i
\(347\) −7.33666 + 12.7075i −0.393853 + 0.682173i −0.992954 0.118501i \(-0.962191\pi\)
0.599101 + 0.800673i \(0.295525\pi\)
\(348\) −10.3945 18.0038i −0.557204 0.965105i
\(349\) 12.1698 21.0787i 0.651433 1.12831i −0.331342 0.943511i \(-0.607502\pi\)
0.982775 0.184804i \(-0.0591652\pi\)
\(350\) 1.45050 22.4457i 0.0775324 1.19977i
\(351\) 2.87580 + 2.17480i 0.153499 + 0.116082i
\(352\) −1.25029 + 2.16556i −0.0666404 + 0.115425i
\(353\) −0.669625 −0.0356405 −0.0178203 0.999841i \(-0.505673\pi\)
−0.0178203 + 0.999841i \(0.505673\pi\)
\(354\) 1.95570 0.103944
\(355\) 6.20749 0.329459
\(356\) −12.1860 −0.645855
\(357\) −0.772402 + 11.9525i −0.0408798 + 0.632595i
\(358\) 25.6840 + 44.4859i 1.35744 + 2.35115i
\(359\) 17.8146 30.8557i 0.940216 1.62850i 0.175158 0.984540i \(-0.443956\pi\)
0.765058 0.643962i \(-0.222710\pi\)
\(360\) 2.87662 4.98245i 0.151611 0.262598i
\(361\) −17.1629 −0.903308
\(362\) 18.3394 + 31.7648i 0.963897 + 1.66952i
\(363\) −1.19791 −0.0628741
\(364\) −24.4636 + 28.3458i −1.28224 + 1.48573i
\(365\) 14.8372 0.776614
\(366\) −5.65908 9.80181i −0.295805 0.512349i
\(367\) 10.2224 0.533602 0.266801 0.963752i \(-0.414033\pi\)
0.266801 + 0.963752i \(0.414033\pi\)
\(368\) 1.19717 2.07356i 0.0624069 0.108092i
\(369\) 3.61102 6.25447i 0.187982 0.325595i
\(370\) −4.60597 7.97777i −0.239453 0.414745i
\(371\) 21.8039 + 14.5400i 1.13200 + 0.754879i
\(372\) 39.2385 2.03442
\(373\) 4.95108 0.256357 0.128179 0.991751i \(-0.459087\pi\)
0.128179 + 0.991751i \(0.459087\pi\)
\(374\) −38.4862 −1.99007
\(375\) 10.4270 0.538448
\(376\) −12.0900 + 20.9404i −0.623492 + 1.07992i
\(377\) −17.5914 + 7.43158i −0.906002 + 0.382746i
\(378\) 5.35806 + 3.57304i 0.275589 + 0.183777i
\(379\) 6.33641 10.9750i 0.325479 0.563747i −0.656130 0.754648i \(-0.727808\pi\)
0.981609 + 0.190901i \(0.0611410\pi\)
\(380\) −3.26595 5.65679i −0.167540 0.290187i
\(381\) −8.24568 + 14.2819i −0.422439 + 0.731686i
\(382\) −11.5598 20.0222i −0.591452 1.02442i
\(383\) −23.7902 −1.21562 −0.607810 0.794082i \(-0.707952\pi\)
−0.607810 + 0.794082i \(0.707952\pi\)
\(384\) 10.0609 + 17.4260i 0.513418 + 0.889267i
\(385\) 0.731631 11.3216i 0.0372874 0.577003i
\(386\) −22.5688 39.0903i −1.14872 1.98964i
\(387\) 4.48886 + 7.77494i 0.228182 + 0.395222i
\(388\) 28.2279 1.43305
\(389\) 12.7721 + 22.1218i 0.647569 + 1.12162i 0.983702 + 0.179808i \(0.0575475\pi\)
−0.336133 + 0.941815i \(0.609119\pi\)
\(390\) −8.59462 6.49961i −0.435206 0.329121i
\(391\) −3.04819 −0.154153
\(392\) −19.9203 + 26.0595i −1.00613 + 1.31620i
\(393\) −3.52172 + 6.09979i −0.177647 + 0.307694i
\(394\) −62.6969 −3.15863
\(395\) −7.24564 12.5498i −0.364568 0.631450i
\(396\) −6.85424 + 11.8719i −0.344438 + 0.596585i
\(397\) −2.12736 −0.106769 −0.0533846 0.998574i \(-0.517001\pi\)
−0.0533846 + 0.998574i \(0.517001\pi\)
\(398\) −43.0736 −2.15908
\(399\) 3.21480 1.58903i 0.160942 0.0795511i
\(400\) 6.20973 10.7556i 0.310487 0.537779i
\(401\) −0.293644 0.508607i −0.0146639 0.0253986i 0.858600 0.512646i \(-0.171334\pi\)
−0.873264 + 0.487247i \(0.838001\pi\)
\(402\) 2.58185 + 4.47189i 0.128771 + 0.223038i
\(403\) 4.45394 35.7682i 0.221867 1.78174i
\(404\) 3.03362 5.25439i 0.150928 0.261416i
\(405\) −0.613891 + 1.06329i −0.0305045 + 0.0528353i
\(406\) −30.5785 + 15.1145i −1.51759 + 0.750122i
\(407\) 5.38265 + 9.32302i 0.266808 + 0.462125i
\(408\) −10.6066 + 18.3712i −0.525105 + 0.909509i
\(409\) 2.17228 3.76249i 0.107412 0.186043i −0.807309 0.590129i \(-0.799077\pi\)
0.914721 + 0.404086i \(0.132410\pi\)
\(410\) −10.7919 + 18.6921i −0.532974 + 0.923138i
\(411\) −9.66065 + 16.7327i −0.476525 + 0.825365i
\(412\) −10.8291 18.7565i −0.533510 0.924066i
\(413\) 0.137083 2.12129i 0.00674540 0.104382i
\(414\) −0.819488 + 1.41940i −0.0402756 + 0.0697595i
\(415\) −7.78446 + 13.4831i −0.382124 + 0.661859i
\(416\) 2.37798 1.00459i 0.116590 0.0492543i
\(417\) −7.76176 13.4438i −0.380095 0.658343i
\(418\) 5.76143 + 9.97909i 0.281801 + 0.488093i
\(419\) −4.72818 + 8.18946i −0.230987 + 0.400081i −0.958099 0.286438i \(-0.907529\pi\)
0.727112 + 0.686519i \(0.240862\pi\)
\(420\) −10.6079 7.07390i −0.517612 0.345171i
\(421\) −11.9569 −0.582741 −0.291371 0.956610i \(-0.594111\pi\)
−0.291371 + 0.956610i \(0.594111\pi\)
\(422\) −30.3731 −1.47854
\(423\) 2.58008 4.46883i 0.125448 0.217282i
\(424\) 23.2078 + 40.1971i 1.12707 + 1.95214i
\(425\) −15.8110 −0.766944
\(426\) −6.15334 + 10.6579i −0.298131 + 0.516377i
\(427\) −11.0284 + 5.45118i −0.533701 + 0.263801i
\(428\) 5.68496 0.274793
\(429\) 10.0439 + 7.59560i 0.484923 + 0.366719i
\(430\) −13.4154 23.2362i −0.646949 1.12055i
\(431\) −26.4705 −1.27504 −0.637519 0.770435i \(-0.720039\pi\)
−0.637519 + 0.770435i \(0.720039\pi\)
\(432\) 1.77799 + 3.07957i 0.0855437 + 0.148166i
\(433\) 4.13088 + 7.15489i 0.198517 + 0.343842i 0.948048 0.318128i \(-0.103054\pi\)
−0.749531 + 0.661970i \(0.769721\pi\)
\(434\) 4.15184 64.2476i 0.199295 3.08398i
\(435\) −3.25146 5.63169i −0.155896 0.270019i
\(436\) 64.4091 3.08464
\(437\) 0.456318 + 0.790366i 0.0218286 + 0.0378083i
\(438\) −14.7078 + 25.4746i −0.702764 + 1.21722i
\(439\) −17.5522 30.4012i −0.837719 1.45097i −0.891797 0.452435i \(-0.850555\pi\)
0.0540784 0.998537i \(-0.482778\pi\)
\(440\) 10.0467 17.4015i 0.478960 0.829582i
\(441\) 4.25114 5.56128i 0.202435 0.264823i
\(442\) 31.6899 + 23.9652i 1.50734 + 1.13991i
\(443\) 0.192275 0.333030i 0.00913525 0.0158227i −0.861422 0.507890i \(-0.830425\pi\)
0.870557 + 0.492068i \(0.163759\pi\)
\(444\) 12.0984 0.574167
\(445\) −3.81184 −0.180699
\(446\) −22.6488 −1.07245
\(447\) −17.5332 −0.829291
\(448\) 21.0020 10.3810i 0.992249 0.490455i
\(449\) −18.9728 32.8619i −0.895382 1.55085i −0.833331 0.552774i \(-0.813569\pi\)
−0.0620505 0.998073i \(-0.519764\pi\)
\(450\) −4.25069 + 7.36241i −0.200379 + 0.347067i
\(451\) 12.6117 21.8441i 0.593860 1.02860i
\(452\) −42.2375 −1.98669
\(453\) 7.01950 + 12.1581i 0.329805 + 0.571239i
\(454\) −23.2047 −1.08905
\(455\) −7.65236 + 8.86675i −0.358748 + 0.415679i
\(456\) 6.35130 0.297427
\(457\) 7.19474 + 12.4617i 0.336556 + 0.582932i 0.983782 0.179366i \(-0.0574046\pi\)
−0.647227 + 0.762298i \(0.724071\pi\)
\(458\) 15.6965 0.733449
\(459\) 2.26353 3.92054i 0.105652 0.182995i
\(460\) 1.62242 2.81012i 0.0756459 0.131022i
\(461\) 1.79501 + 3.10905i 0.0836019 + 0.144803i 0.904795 0.425848i \(-0.140024\pi\)
−0.821193 + 0.570651i \(0.806691\pi\)
\(462\) 18.7133 + 12.4790i 0.870622 + 0.580577i
\(463\) 4.69484 0.218188 0.109094 0.994031i \(-0.465205\pi\)
0.109094 + 0.994031i \(0.465205\pi\)
\(464\) −18.8342 −0.874356
\(465\) 12.2740 0.569195
\(466\) 59.5777 2.75988
\(467\) 20.0343 34.7003i 0.927075 1.60574i 0.138885 0.990309i \(-0.455648\pi\)
0.788190 0.615432i \(-0.211018\pi\)
\(468\) 13.0364 5.50732i 0.602610 0.254576i
\(469\) 5.03150 2.48700i 0.232333 0.114839i
\(470\) −7.71083 + 13.3556i −0.355674 + 0.616046i
\(471\) −5.62295 9.73923i −0.259092 0.448760i
\(472\) 1.88242 3.26044i 0.0866453 0.150074i
\(473\) 15.6776 + 27.1544i 0.720856 + 1.24856i
\(474\) 28.7297 1.31960
\(475\) 2.36692 + 4.09963i 0.108602 + 0.188104i
\(476\) 39.1132 + 26.0827i 1.79275 + 1.19550i
\(477\) −4.95271 8.57835i −0.226769 0.392776i
\(478\) 4.40738 + 7.63381i 0.201589 + 0.349162i
\(479\) 20.4700 0.935300 0.467650 0.883914i \(-0.345101\pi\)
0.467650 + 0.883914i \(0.345101\pi\)
\(480\) 0.439529 + 0.761287i 0.0200617 + 0.0347478i
\(481\) 1.37329 11.0284i 0.0626165 0.502853i
\(482\) −61.1696 −2.78620
\(483\) 1.48213 + 0.988365i 0.0674394 + 0.0449722i
\(484\) −2.35094 + 4.07195i −0.106861 + 0.185088i
\(485\) 8.82985 0.400943
\(486\) −1.21707 2.10803i −0.0552075 0.0956222i
\(487\) −16.7968 + 29.0930i −0.761138 + 1.31833i 0.181127 + 0.983460i \(0.442026\pi\)
−0.942264 + 0.334870i \(0.891308\pi\)
\(488\) −21.7881 −0.986303
\(489\) −11.6079 −0.524930
\(490\) −12.7049 + 16.6204i −0.573951 + 0.750835i
\(491\) 20.2312 35.0415i 0.913021 1.58140i 0.103248 0.994656i \(-0.467077\pi\)
0.809773 0.586743i \(-0.199590\pi\)
\(492\) −14.1735 24.5492i −0.638990 1.10676i
\(493\) 11.9887 + 20.7651i 0.539944 + 0.935211i
\(494\) 1.46993 11.8045i 0.0661352 0.531110i
\(495\) −2.14405 + 3.71360i −0.0963677 + 0.166914i
\(496\) 17.7745 30.7863i 0.798097 1.38234i
\(497\) 11.1290 + 7.42140i 0.499204 + 0.332896i
\(498\) −15.4331 26.7310i −0.691575 1.19784i
\(499\) −2.38204 + 4.12581i −0.106635 + 0.184697i −0.914405 0.404801i \(-0.867341\pi\)
0.807770 + 0.589498i \(0.200674\pi\)
\(500\) 20.4633 35.4435i 0.915147 1.58508i
\(501\) −3.44594 + 5.96855i −0.153953 + 0.266655i
\(502\) −0.682215 + 1.18163i −0.0304487 + 0.0527388i
\(503\) −0.350346 0.606817i −0.0156212 0.0270567i 0.858109 0.513467i \(-0.171639\pi\)
−0.873730 + 0.486411i \(0.838306\pi\)
\(504\) 11.1141 5.49354i 0.495061 0.244702i
\(505\) 0.948935 1.64360i 0.0422271 0.0731394i
\(506\) −2.86210 + 4.95731i −0.127236 + 0.220379i
\(507\) −3.54048 12.5086i −0.157238 0.555526i
\(508\) 32.3648 + 56.0575i 1.43596 + 2.48715i
\(509\) −13.4457 23.2886i −0.595970 1.03225i −0.993409 0.114622i \(-0.963434\pi\)
0.397439 0.917628i \(-0.369899\pi\)
\(510\) −6.76477 + 11.7169i −0.299549 + 0.518834i
\(511\) 26.6006 + 17.7387i 1.17674 + 0.784713i
\(512\) 35.8718 1.58533
\(513\) −1.35541 −0.0598429
\(514\) −28.9161 + 50.0841i −1.27543 + 2.20911i
\(515\) −3.38739 5.86714i −0.149266 0.258537i
\(516\) 35.2381 1.55127
\(517\) 9.01107 15.6076i 0.396306 0.686423i
\(518\) 1.28014 19.8095i 0.0562461 0.870380i
\(519\) 15.8386 0.695237
\(520\) −19.1084 + 8.07247i −0.837960 + 0.354001i
\(521\) −15.4700 26.7948i −0.677753 1.17390i −0.975656 0.219306i \(-0.929621\pi\)
0.297903 0.954596i \(-0.403713\pi\)
\(522\) 12.8924 0.564285
\(523\) 0.851131 + 1.47420i 0.0372173 + 0.0644623i 0.884034 0.467422i \(-0.154817\pi\)
−0.846817 + 0.531885i \(0.821484\pi\)
\(524\) 13.8230 + 23.9421i 0.603859 + 1.04591i
\(525\) 7.68783 + 5.12665i 0.335525 + 0.223746i
\(526\) −8.61105 14.9148i −0.375460 0.650315i
\(527\) −45.2566 −1.97141
\(528\) 6.20973 + 10.7556i 0.270244 + 0.468076i
\(529\) 11.2733 19.5260i 0.490144 0.848955i
\(530\) 14.8017 + 25.6373i 0.642944 + 1.11361i
\(531\) −0.401721 + 0.695802i −0.0174332 + 0.0301952i
\(532\) 0.907707 14.0463i 0.0393541 0.608984i
\(533\) −23.9868 + 10.1334i −1.03898 + 0.438925i
\(534\) 3.77859 6.54471i 0.163516 0.283217i
\(535\) 1.77829 0.0768821
\(536\) 9.94043 0.429361
\(537\) −21.1031 −0.910664
\(538\) 25.2870 1.09020
\(539\) 14.8473 19.4231i 0.639519 0.836610i
\(540\) 2.40956 + 4.17348i 0.103691 + 0.179598i
\(541\) 1.00845 1.74668i 0.0433566 0.0750958i −0.843533 0.537078i \(-0.819528\pi\)
0.886889 + 0.461982i \(0.152862\pi\)
\(542\) −0.149423 + 0.258808i −0.00641826 + 0.0111168i
\(543\) −15.0685 −0.646649
\(544\) −1.62062 2.80700i −0.0694836 0.120349i
\(545\) 20.1475 0.863026
\(546\) −7.63808 21.9281i −0.326880 0.938435i
\(547\) −2.08074 −0.0889658 −0.0444829 0.999010i \(-0.514164\pi\)
−0.0444829 + 0.999010i \(0.514164\pi\)
\(548\) 37.9186 + 65.6770i 1.61980 + 2.80558i
\(549\) 4.64974 0.198446
\(550\) −14.8457 + 25.7136i −0.633025 + 1.09643i
\(551\) 3.58945 6.21712i 0.152916 0.264858i
\(552\) 1.57757 + 2.73242i 0.0671456 + 0.116300i
\(553\) 2.01379 31.1623i 0.0856349 1.32516i
\(554\) 13.0762 0.555554
\(555\) 3.78446 0.160642
\(556\) −60.9307 −2.58404
\(557\) 19.6341 0.831922 0.415961 0.909383i \(-0.363445\pi\)
0.415961 + 0.909383i \(0.363445\pi\)
\(558\) −12.1670 + 21.0738i −0.515069 + 0.892126i
\(559\) 3.99986 32.1216i 0.169176 1.35860i
\(560\) −10.3553 + 5.11850i −0.437593 + 0.216296i
\(561\) 7.90548 13.6927i 0.333770 0.578106i
\(562\) −18.1157 31.3773i −0.764166 1.32357i
\(563\) 11.6699 20.2128i 0.491826 0.851868i −0.508130 0.861281i \(-0.669663\pi\)
0.999956 + 0.00941281i \(0.00299623\pi\)
\(564\) −10.1270 17.5404i −0.426423 0.738586i
\(565\) −13.2121 −0.555839
\(566\) 5.45902 + 9.45531i 0.229460 + 0.397436i
\(567\) −2.37183 + 1.17236i −0.0996074 + 0.0492346i
\(568\) 11.8456 + 20.5171i 0.497029 + 0.860880i
\(569\) 10.8206 + 18.7419i 0.453625 + 0.785702i 0.998608 0.0527455i \(-0.0167972\pi\)
−0.544983 + 0.838447i \(0.683464\pi\)
\(570\) 4.05078 0.169669
\(571\) −3.91282 6.77720i −0.163746 0.283617i 0.772463 0.635060i \(-0.219025\pi\)
−0.936209 + 0.351443i \(0.885691\pi\)
\(572\) 45.5304 19.2346i 1.90372 0.804239i
\(573\) 9.49806 0.396787
\(574\) −41.6955 + 20.6095i −1.74034 + 0.860225i
\(575\) −1.17581 + 2.03657i −0.0490349 + 0.0849309i
\(576\) −8.85475 −0.368948
\(577\) 5.92244 + 10.2580i 0.246555 + 0.427045i 0.962568 0.271042i \(-0.0873682\pi\)
−0.716013 + 0.698087i \(0.754035\pi\)
\(578\) 4.25269 7.36587i 0.176889 0.306380i
\(579\) 18.5435 0.770642
\(580\) −25.5244 −1.05984
\(581\) −30.0760 + 14.8662i −1.24776 + 0.616752i
\(582\) −8.75283 + 15.1603i −0.362816 + 0.628416i
\(583\) −17.2976 29.9603i −0.716394 1.24083i
\(584\) 28.3134 + 49.0402i 1.17161 + 2.02930i
\(585\) 4.07787 1.72272i 0.168599 0.0712258i
\(586\) 26.7794 46.3833i 1.10625 1.91608i
\(587\) −2.24869 + 3.89484i −0.0928134 + 0.160757i −0.908694 0.417463i \(-0.862919\pi\)
0.815881 + 0.578220i \(0.196253\pi\)
\(588\) −10.5609 25.3647i −0.435526 1.04602i
\(589\) 6.77497 + 11.7346i 0.279158 + 0.483516i
\(590\) 1.20058 2.07947i 0.0494273 0.0856106i
\(591\) 12.8786 22.3065i 0.529756 0.917565i
\(592\) 5.48041 9.49235i 0.225244 0.390133i
\(593\) 17.8835 30.9751i 0.734388 1.27200i −0.220604 0.975363i \(-0.570803\pi\)
0.954992 0.296633i \(-0.0958638\pi\)
\(594\) −4.25069 7.36241i −0.174408 0.302083i
\(595\) 12.2348 + 8.15883i 0.501579 + 0.334480i
\(596\) −34.4094 + 59.5988i −1.40946 + 2.44126i
\(597\) 8.84779 15.3248i 0.362116 0.627203i
\(598\) 5.44359 2.29968i 0.222605 0.0940408i
\(599\) −9.70429 16.8083i −0.396507 0.686769i 0.596786 0.802401i \(-0.296444\pi\)
−0.993292 + 0.115631i \(0.963111\pi\)
\(600\) 8.18284 + 14.1731i 0.334063 + 0.578614i
\(601\) −20.4135 + 35.3571i −0.832682 + 1.44225i 0.0632213 + 0.998000i \(0.479863\pi\)
−0.895904 + 0.444248i \(0.853471\pi\)
\(602\) 3.72856 57.6975i 0.151965 2.35157i
\(603\) −2.12136 −0.0863884
\(604\) 55.1039 2.24215
\(605\) −0.735387 + 1.27373i −0.0298977 + 0.0517844i
\(606\) 1.88132 + 3.25854i 0.0764232 + 0.132369i
\(607\) 0.942690 0.0382626 0.0191313 0.999817i \(-0.493910\pi\)
0.0191313 + 0.999817i \(0.493910\pi\)
\(608\) −0.485219 + 0.840424i −0.0196782 + 0.0340837i
\(609\) 0.903681 13.9840i 0.0366190 0.566660i
\(610\) −13.8962 −0.562642
\(611\) −17.1386 + 7.24032i −0.693355 + 0.292912i
\(612\) −8.88448 15.3884i −0.359134 0.622038i
\(613\) 0.921093 0.0372026 0.0186013 0.999827i \(-0.494079\pi\)
0.0186013 + 0.999827i \(0.494079\pi\)
\(614\) 40.1585 + 69.5565i 1.62066 + 2.80707i
\(615\) −4.43355 7.67913i −0.178778 0.309652i
\(616\) 38.8166 19.1865i 1.56396 0.773045i
\(617\) 12.3732 + 21.4311i 0.498127 + 0.862782i 0.999998 0.00216105i \(-0.000687883\pi\)
−0.501870 + 0.864943i \(0.667355\pi\)
\(618\) 13.4314 0.540290
\(619\) −12.0229 20.8243i −0.483242 0.836999i 0.516573 0.856243i \(-0.327207\pi\)
−0.999815 + 0.0192441i \(0.993874\pi\)
\(620\) 24.0882 41.7220i 0.967405 1.67559i
\(621\) −0.336664 0.583119i −0.0135098 0.0233997i
\(622\) −10.0173 + 17.3504i −0.401656 + 0.695689i
\(623\) −6.83400 4.55727i −0.273798 0.182583i
\(624\) 1.58430 12.7230i 0.0634229 0.509329i
\(625\) −2.33033 + 4.03626i −0.0932133 + 0.161450i
\(626\) 34.7765 1.38995
\(627\) −4.73385 −0.189052
\(628\) −44.1408 −1.76141
\(629\) −13.9540 −0.556382
\(630\) 7.08845 3.50372i 0.282410 0.139592i
\(631\) −14.7428 25.5353i −0.586902 1.01654i −0.994635 0.103443i \(-0.967014\pi\)
0.407734 0.913101i \(-0.366319\pi\)
\(632\) 27.6533 47.8969i 1.09999 1.90523i
\(633\) 6.23896 10.8062i 0.247976 0.429508i
\(634\) 22.7931 0.905229
\(635\) 10.1239 + 17.5351i 0.401755 + 0.695860i
\(636\) −38.8794 −1.54167
\(637\) −24.3201 + 6.74777i −0.963598 + 0.267356i
\(638\) 45.0273 1.78265
\(639\) −2.52793 4.37850i −0.100003 0.173211i
\(640\) 24.7052 0.976559
\(641\) −1.09270 + 1.89260i −0.0431589 + 0.0747534i −0.886798 0.462157i \(-0.847075\pi\)
0.843639 + 0.536911i \(0.180409\pi\)
\(642\) −1.76278 + 3.05322i −0.0695712 + 0.120501i
\(643\) 5.19137 + 8.99172i 0.204728 + 0.354599i 0.950046 0.312110i \(-0.101036\pi\)
−0.745318 + 0.666709i \(0.767702\pi\)
\(644\) 6.26839 3.09838i 0.247009 0.122093i
\(645\) 11.0227 0.434018
\(646\) −14.9360 −0.587648
\(647\) −12.1316 −0.476943 −0.238471 0.971150i \(-0.576646\pi\)
−0.238471 + 0.971150i \(0.576646\pi\)
\(648\) −4.68588 −0.184079
\(649\) −1.40303 + 2.43012i −0.0550738 + 0.0953907i
\(650\) 28.2359 11.9284i 1.10750 0.467872i
\(651\) 22.0053 + 14.6743i 0.862456 + 0.575131i
\(652\) −22.7810 + 39.4578i −0.892171 + 1.54529i
\(653\) 12.0127 + 20.8065i 0.470091 + 0.814222i 0.999415 0.0341978i \(-0.0108876\pi\)
−0.529324 + 0.848420i \(0.677554\pi\)
\(654\) −19.9718 + 34.5922i −0.780959 + 1.35266i
\(655\) 4.32390 + 7.48922i 0.168949 + 0.292628i
\(656\) −25.6815 −1.00269
\(657\) −6.04227 10.4655i −0.235731 0.408299i
\(658\) −29.7916 + 14.7255i −1.16140 + 0.574062i
\(659\) 10.4678 + 18.1307i 0.407766 + 0.706272i 0.994639 0.103407i \(-0.0329744\pi\)
−0.586873 + 0.809679i \(0.699641\pi\)
\(660\) 8.41551 + 14.5761i 0.327573 + 0.567374i
\(661\) −21.4780 −0.835398 −0.417699 0.908586i \(-0.637163\pi\)
−0.417699 + 0.908586i \(0.637163\pi\)
\(662\) −29.7914 51.6002i −1.15787 2.00550i
\(663\) −15.0359 + 6.35199i −0.583944 + 0.246691i
\(664\) −59.4194 −2.30592
\(665\) 0.283936 4.39376i 0.0110106 0.170383i
\(666\) −3.75145 + 6.49771i −0.145366 + 0.251781i
\(667\) 3.56626 0.138086
\(668\) 13.5255 + 23.4269i 0.523319 + 0.906415i
\(669\) 4.65232 8.05805i 0.179869 0.311542i
\(670\) 6.33989 0.244931
\(671\) 16.2395 0.626918
\(672\) −0.122159 + 1.89034i −0.00471237 + 0.0729215i
\(673\) −0.483978 + 0.838274i −0.0186560 + 0.0323131i −0.875203 0.483756i \(-0.839272\pi\)
0.856547 + 0.516070i \(0.172605\pi\)
\(674\) −16.0270 27.7596i −0.617338 1.06926i
\(675\) −1.74628 3.02464i −0.0672142 0.116418i
\(676\) −49.4676 12.5137i −1.90260 0.481296i
\(677\) −23.4146 + 40.5552i −0.899895 + 1.55866i −0.0722691 + 0.997385i \(0.523024\pi\)
−0.827626 + 0.561279i \(0.810309\pi\)
\(678\) 13.0969 22.6845i 0.502983 0.871193i
\(679\) 15.8304 + 10.5566i 0.607517 + 0.405124i
\(680\) 13.0226 + 22.5558i 0.499394 + 0.864976i
\(681\) 4.76651 8.25583i 0.182653 0.316364i
\(682\) −42.4938 + 73.6014i −1.62717 + 2.81834i
\(683\) −8.94014 + 15.4848i −0.342085 + 0.592509i −0.984820 0.173580i \(-0.944466\pi\)
0.642735 + 0.766089i \(0.277800\pi\)
\(684\) −2.66004 + 4.60732i −0.101709 + 0.176165i
\(685\) 11.8612 + 20.5442i 0.453192 + 0.784952i
\(686\) −42.6485 + 14.6082i −1.62833 + 0.557744i
\(687\) −3.22423 + 5.58453i −0.123012 + 0.213063i
\(688\) 15.9623 27.6476i 0.608558 1.05405i
\(689\) −4.41318 + 35.4408i −0.168129 + 1.35019i
\(690\) 1.00615 + 1.74271i 0.0383036 + 0.0663438i
\(691\) 16.6082 + 28.7663i 0.631806 + 1.09432i 0.987182 + 0.159597i \(0.0510193\pi\)
−0.355377 + 0.934723i \(0.615647\pi\)
\(692\) 31.0837 53.8386i 1.18163 2.04664i
\(693\) −8.28373 + 4.09453i −0.314673 + 0.155538i
\(694\) −35.7170 −1.35580
\(695\) −19.0595 −0.722968
\(696\) 12.4093 21.4936i 0.470374 0.814712i
\(697\) 16.3473 + 28.3143i 0.619197 + 1.07248i
\(698\) 59.2460 2.24249
\(699\) −12.2379 + 21.1967i −0.462881 + 0.801733i
\(700\) 32.5142 16.0713i 1.22892 0.607438i
\(701\) 29.1267 1.10010 0.550050 0.835132i \(-0.314609\pi\)
0.550050 + 0.835132i \(0.314609\pi\)
\(702\) −1.08449 + 8.70917i −0.0409314 + 0.328707i
\(703\) 2.08893 + 3.61814i 0.0787856 + 0.136461i
\(704\) −30.9257 −1.16556
\(705\) −3.16778 5.48675i −0.119305 0.206643i
\(706\) −0.814982 1.41159i −0.0306723 0.0531259i
\(707\) 3.66630 1.81220i 0.137886 0.0681549i
\(708\) 1.57678 + 2.73107i 0.0592591 + 0.102640i
\(709\) 11.4015 0.428191 0.214096 0.976813i \(-0.431320\pi\)
0.214096 + 0.976813i \(0.431320\pi\)
\(710\) 7.55497 + 13.0856i 0.283533 + 0.491093i
\(711\) −5.90140 + 10.2215i −0.221320 + 0.383337i
\(712\) −7.27402 12.5990i −0.272605 0.472166i
\(713\) −3.36560 + 5.82939i −0.126043 + 0.218312i
\(714\) −26.1364 + 12.9188i −0.978129 + 0.483475i
\(715\) 14.2422 6.01670i 0.532628 0.225012i
\(716\) −41.4154 + 71.7336i −1.54777 + 2.68081i
\(717\) −3.62130 −0.135240
\(718\) 86.7264 3.23660
\(719\) −36.2517 −1.35196 −0.675980 0.736920i \(-0.736280\pi\)
−0.675980 + 0.736920i \(0.736280\pi\)
\(720\) 4.36598 0.162710
\(721\) 0.941461 14.5686i 0.0350618 0.542564i
\(722\) −20.8884 36.1798i −0.777387 1.34647i
\(723\) 12.5649 21.7631i 0.467294 0.809377i
\(724\) −29.5723 + 51.2207i −1.09905 + 1.90360i
\(725\) 18.4982 0.687006
\(726\) −1.45795 2.52524i −0.0541094 0.0937203i
\(727\) 4.46075 0.165440 0.0827200 0.996573i \(-0.473639\pi\)
0.0827200 + 0.996573i \(0.473639\pi\)
\(728\) −43.9093 8.37261i −1.62739 0.310309i
\(729\) 1.00000 0.0370370
\(730\) 18.0579 + 31.2773i 0.668354 + 1.15762i
\(731\) −40.6426 −1.50322
\(732\) 9.12527 15.8054i 0.337280 0.584185i
\(733\) 5.24983 9.09297i 0.193907 0.335856i −0.752635 0.658438i \(-0.771217\pi\)
0.946542 + 0.322582i \(0.104551\pi\)
\(734\) 12.4413 + 21.5490i 0.459218 + 0.795390i
\(735\) −3.30352 7.93421i −0.121852 0.292658i
\(736\) −0.482084 −0.0177698
\(737\) −7.40895 −0.272912
\(738\) 17.5795 0.647110
\(739\) −4.64923 −0.171025 −0.0855123 0.996337i \(-0.527253\pi\)
−0.0855123 + 0.996337i \(0.527253\pi\)
\(740\) 7.42713 12.8642i 0.273027 0.472896i
\(741\) 3.89790 + 2.94775i 0.143193 + 0.108288i
\(742\) −4.11384 + 63.6596i −0.151024 + 2.33702i
\(743\) 9.95236 17.2380i 0.365117 0.632400i −0.623678 0.781681i \(-0.714362\pi\)
0.988795 + 0.149281i \(0.0476958\pi\)
\(744\) 23.4222 + 40.5684i 0.858699 + 1.48731i
\(745\) −10.7635 + 18.6429i −0.394343 + 0.683022i
\(746\) 6.02582 + 10.4370i 0.220621 + 0.382127i
\(747\) 12.6805 0.463956
\(748\) −31.0295 53.7447i −1.13455 1.96510i
\(749\) 3.18817 + 2.12604i 0.116493 + 0.0776839i
\(750\) 12.6904 + 21.9804i 0.463389 + 0.802613i
\(751\) 20.9950 + 36.3645i 0.766120 + 1.32696i 0.939652 + 0.342131i \(0.111149\pi\)
−0.173532 + 0.984828i \(0.555518\pi\)
\(752\) −18.3495 −0.669136
\(753\) −0.280269 0.485440i −0.0102136 0.0176904i
\(754\) −37.0760 28.0384i −1.35023 1.02110i
\(755\) 17.2368 0.627313
\(756\) −0.669691 + 10.3631i −0.0243564 + 0.376903i
\(757\) 21.8795 37.8965i 0.795225 1.37737i −0.127471 0.991842i \(-0.540686\pi\)
0.922696 0.385528i \(-0.125981\pi\)
\(758\) 30.8475 1.12043
\(759\) −1.17581 2.03657i −0.0426794 0.0739229i
\(760\) 3.89900 6.75327i 0.141432 0.244967i
\(761\) 12.0389 0.436411 0.218206 0.975903i \(-0.429980\pi\)
0.218206 + 0.975903i \(0.429980\pi\)
\(762\) −40.1424 −1.45420
\(763\) 36.1212 + 24.0875i 1.30767 + 0.872027i
\(764\) 18.6402 32.2858i 0.674380 1.16806i
\(765\) −2.77912 4.81357i −0.100479 0.174035i
\(766\) −28.9544 50.1504i −1.04616 1.81201i
\(767\) 2.66850 1.12732i 0.0963540 0.0407053i
\(768\) −15.6349 + 27.0805i −0.564178 + 0.977184i
\(769\) 13.1918 22.8489i 0.475708 0.823951i −0.523905 0.851777i \(-0.675525\pi\)
0.999613 + 0.0278261i \(0.00885848\pi\)
\(770\) 24.7568 12.2369i 0.892172 0.440988i
\(771\) −11.8793 20.5756i −0.427824 0.741013i
\(772\) 36.3922 63.0331i 1.30978 2.26861i
\(773\) 4.94438 8.56392i 0.177837 0.308023i −0.763302 0.646041i \(-0.776423\pi\)
0.941139 + 0.338018i \(0.109757\pi\)
\(774\) −10.9265 + 18.9253i −0.392747 + 0.680257i
\(775\) −17.4574 + 30.2371i −0.627088 + 1.08615i
\(776\) 16.8497 + 29.1846i 0.604870 + 1.04767i