Properties

Label 273.2.j.b.100.1
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 100.1
Root \(-1.27528 - 2.20885i\) of defining polynomial
Character \(\chi\) \(=\) 273.100
Dual form 273.2.j.b.172.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27528 - 2.20885i) q^{2} -1.00000 q^{3} +(-2.25269 + 3.90177i) q^{4} +(-1.39351 + 2.41363i) q^{5} +(1.27528 + 2.20885i) q^{6} +(2.06947 - 1.64842i) q^{7} +6.39011 q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(-1.27528 - 2.20885i) q^{2} -1.00000 q^{3} +(-2.25269 + 3.90177i) q^{4} +(-1.39351 + 2.41363i) q^{5} +(1.27528 + 2.20885i) q^{6} +(2.06947 - 1.64842i) q^{7} +6.39011 q^{8} +1.00000 q^{9} +7.10846 q^{10} -2.76747 q^{11} +(2.25269 - 3.90177i) q^{12} +(2.99297 - 2.01050i) q^{13} +(-6.28028 - 2.46895i) q^{14} +(1.39351 - 2.41363i) q^{15} +(-3.64382 - 6.31127i) q^{16} +(2.94340 - 5.09812i) q^{17} +(-1.27528 - 2.20885i) q^{18} +3.40075 q^{19} +(-6.27828 - 10.8743i) q^{20} +(-2.06947 + 1.64842i) q^{21} +(3.52930 + 6.11292i) q^{22} +(3.67246 + 6.36089i) q^{23} -6.39011 q^{24} +(-1.38373 - 2.39670i) q^{25} +(-8.25778 - 4.04708i) q^{26} -1.00000 q^{27} +(1.76989 + 11.7880i) q^{28} +(1.56328 - 2.70768i) q^{29} -7.10846 q^{30} +(1.93352 + 3.34896i) q^{31} +(-2.90367 + 5.02931i) q^{32} +2.76747 q^{33} -15.0147 q^{34} +(1.09485 + 7.29202i) q^{35} +(-2.25269 + 3.90177i) q^{36} +(-2.92173 - 5.06059i) q^{37} +(-4.33691 - 7.51175i) q^{38} +(-2.99297 + 2.01050i) q^{39} +(-8.90467 + 15.4233i) q^{40} +(3.24124 - 5.61400i) q^{41} +(6.28028 + 2.46895i) q^{42} +(2.99197 + 5.18224i) q^{43} +(6.23423 - 10.7980i) q^{44} +(-1.39351 + 2.41363i) q^{45} +(9.36684 - 16.2238i) q^{46} +(3.95673 - 6.85325i) q^{47} +(3.64382 + 6.31127i) q^{48} +(1.56542 - 6.82272i) q^{49} +(-3.52930 + 6.11292i) q^{50} +(-2.94340 + 5.09812i) q^{51} +(1.10228 + 16.2069i) q^{52} +(6.34471 + 10.9894i) q^{53} +(1.27528 + 2.20885i) q^{54} +(3.85649 - 6.67963i) q^{55} +(13.2241 - 10.5336i) q^{56} -3.40075 q^{57} -7.97449 q^{58} +(-1.36824 + 2.36987i) q^{59} +(6.27828 + 10.8743i) q^{60} +9.55263 q^{61} +(4.93157 - 8.54173i) q^{62} +(2.06947 - 1.64842i) q^{63} +0.236742 q^{64} +(0.681870 + 10.0256i) q^{65} +(-3.52930 - 6.11292i) q^{66} -8.68066 q^{67} +(13.2611 + 22.9689i) q^{68} +(-3.67246 - 6.36089i) q^{69} +(14.7108 - 11.7177i) q^{70} +(-1.57062 - 2.72039i) q^{71} +6.39011 q^{72} +(-4.80291 - 8.31889i) q^{73} +(-7.45207 + 12.9074i) q^{74} +(1.38373 + 2.39670i) q^{75} +(-7.66082 + 13.2689i) q^{76} +(-5.72719 + 4.56195i) q^{77} +(8.25778 + 4.04708i) q^{78} +(-1.88112 + 3.25819i) q^{79} +20.3108 q^{80} +1.00000 q^{81} -16.5340 q^{82} +4.82088 q^{83} +(-1.76989 - 11.7880i) q^{84} +(8.20331 + 14.2086i) q^{85} +(7.63120 - 13.2176i) q^{86} +(-1.56328 + 2.70768i) q^{87} -17.6844 q^{88} +(-0.877787 - 1.52037i) q^{89} +7.10846 q^{90} +(2.87972 - 9.09435i) q^{91} -33.0916 q^{92} +(-1.93352 - 3.34896i) q^{93} -20.1838 q^{94} +(-4.73897 + 8.20814i) q^{95} +(2.90367 - 5.02931i) q^{96} +(8.48637 + 14.6988i) q^{97} +(-17.0667 + 5.24311i) q^{98} -2.76747 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27528 2.20885i −0.901760 1.56189i −0.825208 0.564829i \(-0.808942\pi\)
−0.0765522 0.997066i \(-0.524391\pi\)
\(3\) −1.00000 −0.577350
\(4\) −2.25269 + 3.90177i −1.12634 + 1.95088i
\(5\) −1.39351 + 2.41363i −0.623196 + 1.07941i 0.365691 + 0.930736i \(0.380833\pi\)
−0.988887 + 0.148671i \(0.952501\pi\)
\(6\) 1.27528 + 2.20885i 0.520632 + 0.901760i
\(7\) 2.06947 1.64842i 0.782186 0.623044i
\(8\) 6.39011 2.25924
\(9\) 1.00000 0.333333
\(10\) 7.10846 2.24789
\(11\) −2.76747 −0.834422 −0.417211 0.908810i \(-0.636992\pi\)
−0.417211 + 0.908810i \(0.636992\pi\)
\(12\) 2.25269 3.90177i 0.650294 1.12634i
\(13\) 2.99297 2.01050i 0.830101 0.557613i
\(14\) −6.28028 2.46895i −1.67847 0.659856i
\(15\) 1.39351 2.41363i 0.359802 0.623196i
\(16\) −3.64382 6.31127i −0.910954 1.57782i
\(17\) 2.94340 5.09812i 0.713880 1.23648i −0.249510 0.968372i \(-0.580270\pi\)
0.963390 0.268104i \(-0.0863971\pi\)
\(18\) −1.27528 2.20885i −0.300587 0.520632i
\(19\) 3.40075 0.780185 0.390093 0.920776i \(-0.372443\pi\)
0.390093 + 0.920776i \(0.372443\pi\)
\(20\) −6.27828 10.8743i −1.40386 2.43157i
\(21\) −2.06947 + 1.64842i −0.451596 + 0.359715i
\(22\) 3.52930 + 6.11292i 0.752449 + 1.30328i
\(23\) 3.67246 + 6.36089i 0.765761 + 1.32634i 0.939843 + 0.341605i \(0.110971\pi\)
−0.174083 + 0.984731i \(0.555696\pi\)
\(24\) −6.39011 −1.30438
\(25\) −1.38373 2.39670i −0.276747 0.479339i
\(26\) −8.25778 4.04708i −1.61948 0.793697i
\(27\) −1.00000 −0.192450
\(28\) 1.76989 + 11.7880i 0.334477 + 2.22772i
\(29\) 1.56328 2.70768i 0.290294 0.502803i −0.683585 0.729871i \(-0.739580\pi\)
0.973879 + 0.227067i \(0.0729137\pi\)
\(30\) −7.10846 −1.29782
\(31\) 1.93352 + 3.34896i 0.347271 + 0.601491i 0.985764 0.168137i \(-0.0537751\pi\)
−0.638493 + 0.769628i \(0.720442\pi\)
\(32\) −2.90367 + 5.02931i −0.513302 + 0.889065i
\(33\) 2.76747 0.481754
\(34\) −15.0147 −2.57499
\(35\) 1.09485 + 7.29202i 0.185063 + 1.23258i
\(36\) −2.25269 + 3.90177i −0.375448 + 0.650294i
\(37\) −2.92173 5.06059i −0.480330 0.831956i 0.519415 0.854522i \(-0.326150\pi\)
−0.999745 + 0.0225659i \(0.992816\pi\)
\(38\) −4.33691 7.51175i −0.703540 1.21857i
\(39\) −2.99297 + 2.01050i −0.479259 + 0.321938i
\(40\) −8.90467 + 15.4233i −1.40795 + 2.43865i
\(41\) 3.24124 5.61400i 0.506197 0.876759i −0.493777 0.869588i \(-0.664384\pi\)
0.999974 0.00717054i \(-0.00228247\pi\)
\(42\) 6.28028 + 2.46895i 0.969068 + 0.380968i
\(43\) 2.99197 + 5.18224i 0.456271 + 0.790284i 0.998760 0.0497783i \(-0.0158515\pi\)
−0.542489 + 0.840063i \(0.682518\pi\)
\(44\) 6.23423 10.7980i 0.939846 1.62786i
\(45\) −1.39351 + 2.41363i −0.207732 + 0.359802i
\(46\) 9.36684 16.2238i 1.38106 2.39207i
\(47\) 3.95673 6.85325i 0.577148 0.999650i −0.418656 0.908145i \(-0.637499\pi\)
0.995805 0.0915053i \(-0.0291678\pi\)
\(48\) 3.64382 + 6.31127i 0.525940 + 0.910954i
\(49\) 1.56542 6.82272i 0.223631 0.974674i
\(50\) −3.52930 + 6.11292i −0.499118 + 0.864498i
\(51\) −2.94340 + 5.09812i −0.412159 + 0.713880i
\(52\) 1.10228 + 16.2069i 0.152859 + 2.24749i
\(53\) 6.34471 + 10.9894i 0.871513 + 1.50951i 0.860431 + 0.509567i \(0.170194\pi\)
0.0110819 + 0.999939i \(0.496472\pi\)
\(54\) 1.27528 + 2.20885i 0.173544 + 0.300587i
\(55\) 3.85649 6.67963i 0.520009 0.900682i
\(56\) 13.2241 10.5336i 1.76715 1.40761i
\(57\) −3.40075 −0.450440
\(58\) −7.97449 −1.04710
\(59\) −1.36824 + 2.36987i −0.178130 + 0.308530i −0.941240 0.337738i \(-0.890338\pi\)
0.763110 + 0.646269i \(0.223671\pi\)
\(60\) 6.27828 + 10.8743i 0.810522 + 1.40386i
\(61\) 9.55263 1.22309 0.611544 0.791210i \(-0.290549\pi\)
0.611544 + 0.791210i \(0.290549\pi\)
\(62\) 4.93157 8.54173i 0.626310 1.08480i
\(63\) 2.06947 1.64842i 0.260729 0.207681i
\(64\) 0.236742 0.0295928
\(65\) 0.681870 + 10.0256i 0.0845756 + 1.24352i
\(66\) −3.52930 6.11292i −0.434427 0.752449i
\(67\) −8.68066 −1.06051 −0.530255 0.847838i \(-0.677904\pi\)
−0.530255 + 0.847838i \(0.677904\pi\)
\(68\) 13.2611 + 22.9689i 1.60815 + 2.78539i
\(69\) −3.67246 6.36089i −0.442112 0.765761i
\(70\) 14.7108 11.7177i 1.75827 1.40054i
\(71\) −1.57062 2.72039i −0.186398 0.322851i 0.757649 0.652663i \(-0.226348\pi\)
−0.944047 + 0.329812i \(0.893015\pi\)
\(72\) 6.39011 0.753082
\(73\) −4.80291 8.31889i −0.562138 0.973652i −0.997310 0.0733045i \(-0.976646\pi\)
0.435171 0.900348i \(-0.356688\pi\)
\(74\) −7.45207 + 12.9074i −0.866285 + 1.50045i
\(75\) 1.38373 + 2.39670i 0.159780 + 0.276747i
\(76\) −7.66082 + 13.2689i −0.878756 + 1.52205i
\(77\) −5.72719 + 4.56195i −0.652674 + 0.519882i
\(78\) 8.25778 + 4.04708i 0.935010 + 0.458241i
\(79\) −1.88112 + 3.25819i −0.211642 + 0.366575i −0.952229 0.305386i \(-0.901215\pi\)
0.740586 + 0.671961i \(0.234548\pi\)
\(80\) 20.3108 2.27081
\(81\) 1.00000 0.111111
\(82\) −16.5340 −1.82587
\(83\) 4.82088 0.529161 0.264580 0.964364i \(-0.414767\pi\)
0.264580 + 0.964364i \(0.414767\pi\)
\(84\) −1.76989 11.7880i −0.193110 1.28617i
\(85\) 8.20331 + 14.2086i 0.889774 + 1.54113i
\(86\) 7.63120 13.2176i 0.822894 1.42529i
\(87\) −1.56328 + 2.70768i −0.167601 + 0.290294i
\(88\) −17.6844 −1.88516
\(89\) −0.877787 1.52037i −0.0930453 0.161159i 0.815746 0.578411i \(-0.196327\pi\)
−0.908791 + 0.417251i \(0.862993\pi\)
\(90\) 7.10846 0.749298
\(91\) 2.87972 9.09435i 0.301876 0.953347i
\(92\) −33.0916 −3.45004
\(93\) −1.93352 3.34896i −0.200497 0.347271i
\(94\) −20.1838 −2.08180
\(95\) −4.73897 + 8.20814i −0.486208 + 0.842137i
\(96\) 2.90367 5.02931i 0.296355 0.513302i
\(97\) 8.48637 + 14.6988i 0.861660 + 1.49244i 0.870325 + 0.492477i \(0.163908\pi\)
−0.00866511 + 0.999962i \(0.502758\pi\)
\(98\) −17.0667 + 5.24311i −1.72400 + 0.529634i
\(99\) −2.76747 −0.278141
\(100\) 12.4685 1.24685
\(101\) −1.84273 −0.183358 −0.0916791 0.995789i \(-0.529223\pi\)
−0.0916791 + 0.995789i \(0.529223\pi\)
\(102\) 15.0147 1.48667
\(103\) −2.38506 + 4.13105i −0.235007 + 0.407045i −0.959275 0.282474i \(-0.908845\pi\)
0.724267 + 0.689519i \(0.242178\pi\)
\(104\) 19.1254 12.8473i 1.87540 1.25978i
\(105\) −1.09485 7.29202i −0.106846 0.711628i
\(106\) 16.1826 28.0291i 1.57179 2.72242i
\(107\) 6.03771 + 10.4576i 0.583688 + 1.01098i 0.995038 + 0.0994995i \(0.0317242\pi\)
−0.411350 + 0.911478i \(0.634942\pi\)
\(108\) 2.25269 3.90177i 0.216765 0.375448i
\(109\) 3.40885 + 5.90430i 0.326508 + 0.565529i 0.981816 0.189832i \(-0.0607945\pi\)
−0.655308 + 0.755362i \(0.727461\pi\)
\(110\) −19.6724 −1.87569
\(111\) 2.92173 + 5.06059i 0.277319 + 0.480330i
\(112\) −17.9444 7.05446i −1.69559 0.666583i
\(113\) −2.72463 4.71920i −0.256312 0.443945i 0.708939 0.705270i \(-0.249174\pi\)
−0.965251 + 0.261325i \(0.915841\pi\)
\(114\) 4.33691 + 7.51175i 0.406189 + 0.703540i
\(115\) −20.4704 −1.90888
\(116\) 7.04316 + 12.1991i 0.653941 + 1.13266i
\(117\) 2.99297 2.01050i 0.276700 0.185871i
\(118\) 6.97958 0.642522
\(119\) −2.31257 15.4024i −0.211993 1.41193i
\(120\) 8.90467 15.4233i 0.812882 1.40795i
\(121\) −3.34113 −0.303739
\(122\) −12.1823 21.1003i −1.10293 1.91034i
\(123\) −3.24124 + 5.61400i −0.292253 + 0.506197i
\(124\) −17.4225 −1.56458
\(125\) −6.22211 −0.556523
\(126\) −6.28028 2.46895i −0.559491 0.219952i
\(127\) −0.886520 + 1.53550i −0.0786660 + 0.136253i −0.902675 0.430324i \(-0.858399\pi\)
0.824009 + 0.566577i \(0.191733\pi\)
\(128\) 5.50543 + 9.53569i 0.486616 + 0.842844i
\(129\) −2.99197 5.18224i −0.263428 0.456271i
\(130\) 21.2754 14.2916i 1.86598 1.25345i
\(131\) −3.50734 + 6.07490i −0.306438 + 0.530766i −0.977580 0.210562i \(-0.932471\pi\)
0.671143 + 0.741328i \(0.265804\pi\)
\(132\) −6.23423 + 10.7980i −0.542620 + 0.939846i
\(133\) 7.03775 5.60586i 0.610250 0.486090i
\(134\) 11.0703 + 19.1743i 0.956326 + 1.65641i
\(135\) 1.39351 2.41363i 0.119934 0.207732i
\(136\) 18.8087 32.5776i 1.61283 2.79350i
\(137\) 9.82872 17.0239i 0.839725 1.45445i −0.0504003 0.998729i \(-0.516050\pi\)
0.890125 0.455717i \(-0.150617\pi\)
\(138\) −9.36684 + 16.2238i −0.797358 + 1.38106i
\(139\) −9.17342 15.8888i −0.778079 1.34767i −0.933048 0.359753i \(-0.882861\pi\)
0.154968 0.987919i \(-0.450472\pi\)
\(140\) −30.9181 12.1548i −2.61306 1.02727i
\(141\) −3.95673 + 6.85325i −0.333217 + 0.577148i
\(142\) −4.00596 + 6.93852i −0.336173 + 0.582268i
\(143\) −8.28295 + 5.56400i −0.692655 + 0.465285i
\(144\) −3.64382 6.31127i −0.303651 0.525940i
\(145\) 4.35689 + 7.54635i 0.361820 + 0.626690i
\(146\) −12.2501 + 21.2178i −1.01383 + 1.75600i
\(147\) −1.56542 + 6.82272i −0.129114 + 0.562728i
\(148\) 26.3270 2.16407
\(149\) −8.80290 −0.721162 −0.360581 0.932728i \(-0.617422\pi\)
−0.360581 + 0.932728i \(0.617422\pi\)
\(150\) 3.52930 6.11292i 0.288166 0.499118i
\(151\) −4.83567 8.37562i −0.393521 0.681598i 0.599390 0.800457i \(-0.295410\pi\)
−0.992911 + 0.118859i \(0.962076\pi\)
\(152\) 21.7311 1.76263
\(153\) 2.94340 5.09812i 0.237960 0.412159i
\(154\) 17.3805 + 6.83275i 1.40056 + 0.550599i
\(155\) −10.7775 −0.865672
\(156\) −1.10228 16.2069i −0.0882532 1.29759i
\(157\) −5.76601 9.98702i −0.460177 0.797051i 0.538792 0.842439i \(-0.318881\pi\)
−0.998969 + 0.0453882i \(0.985548\pi\)
\(158\) 9.59583 0.763403
\(159\) −6.34471 10.9894i −0.503168 0.871513i
\(160\) −8.09259 14.0168i −0.639775 1.10812i
\(161\) 18.0855 + 7.10991i 1.42533 + 0.560339i
\(162\) −1.27528 2.20885i −0.100196 0.173544i
\(163\) −12.1704 −0.953261 −0.476631 0.879104i \(-0.658142\pi\)
−0.476631 + 0.879104i \(0.658142\pi\)
\(164\) 14.6030 + 25.2931i 1.14030 + 1.97506i
\(165\) −3.85649 + 6.67963i −0.300227 + 0.520009i
\(166\) −6.14798 10.6486i −0.477176 0.826493i
\(167\) 4.54697 7.87559i 0.351855 0.609431i −0.634719 0.772743i \(-0.718884\pi\)
0.986575 + 0.163311i \(0.0522175\pi\)
\(168\) −13.2241 + 10.5336i −1.02026 + 0.812684i
\(169\) 4.91577 12.0348i 0.378136 0.925750i
\(170\) 20.9231 36.2398i 1.60473 2.77947i
\(171\) 3.40075 0.260062
\(172\) −26.9599 −2.05567
\(173\) −1.34730 −0.102433 −0.0512165 0.998688i \(-0.516310\pi\)
−0.0512165 + 0.998688i \(0.516310\pi\)
\(174\) 7.97449 0.604544
\(175\) −6.81436 2.67892i −0.515117 0.202507i
\(176\) 10.0841 + 17.4662i 0.760121 + 1.31657i
\(177\) 1.36824 2.36987i 0.102843 0.178130i
\(178\) −2.23885 + 3.87781i −0.167809 + 0.290654i
\(179\) −5.95993 −0.445466 −0.222733 0.974880i \(-0.571498\pi\)
−0.222733 + 0.974880i \(0.571498\pi\)
\(180\) −6.27828 10.8743i −0.467955 0.810522i
\(181\) 10.4495 0.776707 0.388354 0.921510i \(-0.373044\pi\)
0.388354 + 0.921510i \(0.373044\pi\)
\(182\) −23.7605 + 5.23699i −1.76125 + 0.388192i
\(183\) −9.55263 −0.706151
\(184\) 23.4674 + 40.6468i 1.73004 + 2.99652i
\(185\) 16.2858 1.19736
\(186\) −4.93157 + 8.54173i −0.361600 + 0.626310i
\(187\) −8.14577 + 14.1089i −0.595677 + 1.03174i
\(188\) 17.8265 + 30.8765i 1.30013 + 2.25190i
\(189\) −2.06947 + 1.64842i −0.150532 + 0.119905i
\(190\) 24.1741 1.75377
\(191\) −0.658114 −0.0476194 −0.0238097 0.999717i \(-0.507580\pi\)
−0.0238097 + 0.999717i \(0.507580\pi\)
\(192\) −0.236742 −0.0170854
\(193\) 8.78557 0.632399 0.316200 0.948693i \(-0.397593\pi\)
0.316200 + 0.948693i \(0.397593\pi\)
\(194\) 21.6450 37.4903i 1.55402 2.69165i
\(195\) −0.681870 10.0256i −0.0488297 0.717946i
\(196\) 23.0943 + 21.4773i 1.64959 + 1.53410i
\(197\) −9.29781 + 16.1043i −0.662442 + 1.14738i 0.317530 + 0.948248i \(0.397146\pi\)
−0.979972 + 0.199135i \(0.936187\pi\)
\(198\) 3.52930 + 6.11292i 0.250816 + 0.434427i
\(199\) −7.61283 + 13.1858i −0.539659 + 0.934717i 0.459263 + 0.888300i \(0.348113\pi\)
−0.998922 + 0.0464164i \(0.985220\pi\)
\(200\) −8.84221 15.3151i −0.625238 1.08294i
\(201\) 8.68066 0.612286
\(202\) 2.35000 + 4.07031i 0.165345 + 0.286386i
\(203\) −1.22823 8.18041i −0.0862051 0.574152i
\(204\) −13.2611 22.9689i −0.928464 1.60815i
\(205\) 9.03340 + 15.6463i 0.630920 + 1.09279i
\(206\) 12.1665 0.847681
\(207\) 3.67246 + 6.36089i 0.255254 + 0.442112i
\(208\) −23.5947 11.5636i −1.63600 0.801789i
\(209\) −9.41145 −0.651004
\(210\) −14.7108 + 11.7177i −1.01514 + 0.808601i
\(211\) −10.5945 + 18.3503i −0.729357 + 1.26328i 0.227798 + 0.973708i \(0.426847\pi\)
−0.957155 + 0.289575i \(0.906486\pi\)
\(212\) −57.1706 −3.92649
\(213\) 1.57062 + 2.72039i 0.107617 + 0.186398i
\(214\) 15.3996 26.6728i 1.05269 1.82332i
\(215\) −16.6773 −1.13738
\(216\) −6.39011 −0.434792
\(217\) 9.52186 + 3.74332i 0.646386 + 0.254113i
\(218\) 8.69448 15.0593i 0.588865 1.01994i
\(219\) 4.80291 + 8.31889i 0.324551 + 0.562138i
\(220\) 17.3749 + 30.0942i 1.17142 + 2.02895i
\(221\) −1.44026 21.1763i −0.0968825 1.42447i
\(222\) 7.45207 12.9074i 0.500150 0.866285i
\(223\) −0.453274 + 0.785093i −0.0303534 + 0.0525737i −0.880803 0.473483i \(-0.842997\pi\)
0.850450 + 0.526056i \(0.176330\pi\)
\(224\) 2.28135 + 15.1945i 0.152429 + 1.01522i
\(225\) −1.38373 2.39670i −0.0922489 0.159780i
\(226\) −6.94935 + 12.0366i −0.462264 + 0.800664i
\(227\) −0.964045 + 1.66977i −0.0639859 + 0.110827i −0.896244 0.443562i \(-0.853715\pi\)
0.832258 + 0.554389i \(0.187048\pi\)
\(228\) 7.66082 13.2689i 0.507350 0.878756i
\(229\) 5.05578 8.75686i 0.334095 0.578670i −0.649216 0.760604i \(-0.724903\pi\)
0.983311 + 0.181935i \(0.0582360\pi\)
\(230\) 26.1055 + 45.2161i 1.72135 + 2.98146i
\(231\) 5.72719 4.56195i 0.376821 0.300154i
\(232\) 9.98953 17.3024i 0.655845 1.13596i
\(233\) 13.1134 22.7130i 0.859085 1.48798i −0.0137178 0.999906i \(-0.504367\pi\)
0.872803 0.488073i \(-0.162300\pi\)
\(234\) −8.25778 4.04708i −0.539828 0.264566i
\(235\) 11.0275 + 19.1001i 0.719353 + 1.24596i
\(236\) −6.16444 10.6771i −0.401271 0.695022i
\(237\) 1.88112 3.25819i 0.122192 0.211642i
\(238\) −31.0724 + 24.7505i −2.01413 + 1.60434i
\(239\) 28.0556 1.81476 0.907382 0.420306i \(-0.138077\pi\)
0.907382 + 0.420306i \(0.138077\pi\)
\(240\) −20.3108 −1.31105
\(241\) 2.22625 3.85597i 0.143405 0.248385i −0.785372 0.619025i \(-0.787528\pi\)
0.928777 + 0.370640i \(0.120861\pi\)
\(242\) 4.26088 + 7.38007i 0.273900 + 0.474409i
\(243\) −1.00000 −0.0641500
\(244\) −21.5191 + 37.2721i −1.37762 + 2.38610i
\(245\) 14.2861 + 13.2859i 0.912704 + 0.848802i
\(246\) 16.5340 1.05417
\(247\) 10.1783 6.83721i 0.647632 0.435041i
\(248\) 12.3554 + 21.4002i 0.784570 + 1.35892i
\(249\) −4.82088 −0.305511
\(250\) 7.93494 + 13.7437i 0.501850 + 0.869229i
\(251\) 1.55413 + 2.69183i 0.0980956 + 0.169907i 0.910896 0.412635i \(-0.135392\pi\)
−0.812801 + 0.582542i \(0.802058\pi\)
\(252\) 1.76989 + 11.7880i 0.111492 + 0.742572i
\(253\) −10.1634 17.6035i −0.638968 1.10672i
\(254\) 4.52225 0.283751
\(255\) −8.20331 14.2086i −0.513711 0.889774i
\(256\) 14.2787 24.7314i 0.892419 1.54571i
\(257\) 12.9927 + 22.5040i 0.810461 + 1.40376i 0.912542 + 0.408984i \(0.134117\pi\)
−0.102081 + 0.994776i \(0.532550\pi\)
\(258\) −7.63120 + 13.2176i −0.475098 + 0.822894i
\(259\) −14.3884 5.65650i −0.894053 0.351478i
\(260\) −40.6535 19.9240i −2.52122 1.23563i
\(261\) 1.56328 2.70768i 0.0967646 0.167601i
\(262\) 17.8914 1.10533
\(263\) 12.7806 0.788083 0.394042 0.919093i \(-0.371077\pi\)
0.394042 + 0.919093i \(0.371077\pi\)
\(264\) 17.6844 1.08840
\(265\) −35.3656 −2.17249
\(266\) −21.3576 8.39629i −1.30952 0.514810i
\(267\) 0.877787 + 1.52037i 0.0537197 + 0.0930453i
\(268\) 19.5548 33.8699i 1.19450 2.06893i
\(269\) −0.978744 + 1.69523i −0.0596751 + 0.103360i −0.894320 0.447429i \(-0.852340\pi\)
0.834644 + 0.550789i \(0.185673\pi\)
\(270\) −7.10846 −0.432607
\(271\) −13.4609 23.3150i −0.817692 1.41628i −0.907379 0.420314i \(-0.861920\pi\)
0.0896863 0.995970i \(-0.471414\pi\)
\(272\) −42.9009 −2.60125
\(273\) −2.87972 + 9.09435i −0.174288 + 0.550415i
\(274\) −50.1376 −3.02892
\(275\) 3.82943 + 6.63277i 0.230924 + 0.399971i
\(276\) 33.0916 1.99188
\(277\) 11.5778 20.0533i 0.695643 1.20489i −0.274321 0.961638i \(-0.588453\pi\)
0.969964 0.243250i \(-0.0782136\pi\)
\(278\) −23.3974 + 40.5254i −1.40328 + 2.43055i
\(279\) 1.93352 + 3.34896i 0.115757 + 0.200497i
\(280\) 6.99620 + 46.5968i 0.418103 + 2.78469i
\(281\) −26.9347 −1.60679 −0.803396 0.595446i \(-0.796976\pi\)
−0.803396 + 0.595446i \(0.796976\pi\)
\(282\) 20.1838 1.20193
\(283\) 15.2443 0.906181 0.453091 0.891464i \(-0.350321\pi\)
0.453091 + 0.891464i \(0.350321\pi\)
\(284\) 14.1524 0.839792
\(285\) 4.73897 8.20814i 0.280712 0.486208i
\(286\) 22.8531 + 11.2002i 1.35133 + 0.662279i
\(287\) −2.54657 16.9609i −0.150319 1.00117i
\(288\) −2.90367 + 5.02931i −0.171101 + 0.296355i
\(289\) −8.82723 15.2892i −0.519249 0.899365i
\(290\) 11.1125 19.2474i 0.652549 1.13025i
\(291\) −8.48637 14.6988i −0.497480 0.861660i
\(292\) 43.2778 2.53264
\(293\) −2.04388 3.54010i −0.119405 0.206815i 0.800127 0.599830i \(-0.204765\pi\)
−0.919532 + 0.393015i \(0.871432\pi\)
\(294\) 17.0667 5.24311i 0.995352 0.305784i
\(295\) −3.81332 6.60486i −0.222020 0.384550i
\(296\) −18.6702 32.3377i −1.08518 1.87959i
\(297\) 2.76747 0.160585
\(298\) 11.2262 + 19.4443i 0.650315 + 1.12638i
\(299\) 23.7801 + 11.6545i 1.37524 + 0.673995i
\(300\) −12.4685 −0.719867
\(301\) 14.7343 + 5.79247i 0.849271 + 0.333873i
\(302\) −12.3337 + 21.3625i −0.709723 + 1.22928i
\(303\) 1.84273 0.105862
\(304\) −12.3917 21.4631i −0.710713 1.23099i
\(305\) −13.3117 + 23.0565i −0.762224 + 1.32021i
\(306\) −15.0147 −0.858331
\(307\) 1.04296 0.0595250 0.0297625 0.999557i \(-0.490525\pi\)
0.0297625 + 0.999557i \(0.490525\pi\)
\(308\) −4.89810 32.6228i −0.279095 1.85886i
\(309\) 2.38506 4.13105i 0.135682 0.235007i
\(310\) 13.7444 + 23.8060i 0.780628 + 1.35209i
\(311\) −3.88724 6.73290i −0.220425 0.381788i 0.734512 0.678596i \(-0.237411\pi\)
−0.954937 + 0.296808i \(0.904078\pi\)
\(312\) −19.1254 + 12.8473i −1.08276 + 0.727337i
\(313\) −12.1950 + 21.1224i −0.689304 + 1.19391i 0.282759 + 0.959191i \(0.408750\pi\)
−0.972063 + 0.234719i \(0.924583\pi\)
\(314\) −14.7066 + 25.4725i −0.829939 + 1.43750i
\(315\) 1.09485 + 7.29202i 0.0616877 + 0.410859i
\(316\) −8.47514 14.6794i −0.476764 0.825779i
\(317\) −5.38045 + 9.31922i −0.302196 + 0.523419i −0.976633 0.214913i \(-0.931053\pi\)
0.674437 + 0.738333i \(0.264386\pi\)
\(318\) −16.1826 + 28.0291i −0.907474 + 1.57179i
\(319\) −4.32632 + 7.49341i −0.242228 + 0.419550i
\(320\) −0.329903 + 0.571408i −0.0184421 + 0.0319427i
\(321\) −6.03771 10.4576i −0.336992 0.583688i
\(322\) −7.35932 49.0153i −0.410119 2.73151i
\(323\) 10.0098 17.3374i 0.556958 0.964680i
\(324\) −2.25269 + 3.90177i −0.125149 + 0.216765i
\(325\) −8.96004 4.39125i −0.497013 0.243583i
\(326\) 15.5207 + 26.8827i 0.859613 + 1.48889i
\(327\) −3.40885 5.90430i −0.188510 0.326508i
\(328\) 20.7119 35.8741i 1.14362 1.98081i
\(329\) −3.10871 20.7050i −0.171389 1.14150i
\(330\) 19.6724 1.08293
\(331\) −22.9691 −1.26250 −0.631248 0.775581i \(-0.717457\pi\)
−0.631248 + 0.775581i \(0.717457\pi\)
\(332\) −10.8599 + 18.8100i −0.596017 + 1.03233i
\(333\) −2.92173 5.06059i −0.160110 0.277319i
\(334\) −23.1947 −1.26916
\(335\) 12.0966 20.9519i 0.660906 1.14472i
\(336\) 17.9444 + 7.05446i 0.978948 + 0.384852i
\(337\) 6.99034 0.380788 0.190394 0.981708i \(-0.439023\pi\)
0.190394 + 0.981708i \(0.439023\pi\)
\(338\) −32.8520 + 4.48950i −1.78691 + 0.244196i
\(339\) 2.72463 + 4.71920i 0.147982 + 0.256312i
\(340\) −73.9179 −4.00876
\(341\) −5.35096 9.26813i −0.289771 0.501898i
\(342\) −4.33691 7.51175i −0.234513 0.406189i
\(343\) −8.00712 16.6999i −0.432344 0.901709i
\(344\) 19.1190 + 33.1151i 1.03083 + 1.78545i
\(345\) 20.4704 1.10209
\(346\) 1.71818 + 2.97598i 0.0923701 + 0.159990i
\(347\) 1.07692 1.86528i 0.0578120 0.100133i −0.835671 0.549230i \(-0.814921\pi\)
0.893483 + 0.449097i \(0.148254\pi\)
\(348\) −7.04316 12.1991i −0.377553 0.653941i
\(349\) −0.756384 + 1.31010i −0.0404883 + 0.0701278i −0.885559 0.464526i \(-0.846225\pi\)
0.845071 + 0.534654i \(0.179558\pi\)
\(350\) 2.77289 + 18.4683i 0.148217 + 0.987171i
\(351\) −2.99297 + 2.01050i −0.159753 + 0.107313i
\(352\) 8.03582 13.9184i 0.428311 0.741856i
\(353\) −32.3938 −1.72415 −0.862073 0.506784i \(-0.830834\pi\)
−0.862073 + 0.506784i \(0.830834\pi\)
\(354\) −6.97958 −0.370960
\(355\) 8.75467 0.464650
\(356\) 7.90952 0.419204
\(357\) 2.31257 + 15.4024i 0.122394 + 0.815180i
\(358\) 7.60058 + 13.1646i 0.401703 + 0.695771i
\(359\) −7.93156 + 13.7379i −0.418612 + 0.725057i −0.995800 0.0915543i \(-0.970816\pi\)
0.577188 + 0.816611i \(0.304150\pi\)
\(360\) −8.90467 + 15.4233i −0.469317 + 0.812882i
\(361\) −7.43492 −0.391311
\(362\) −13.3261 23.0815i −0.700404 1.21314i
\(363\) 3.34113 0.175364
\(364\) 28.9969 + 31.7227i 1.51985 + 1.66272i
\(365\) 26.7716 1.40129
\(366\) 12.1823 + 21.1003i 0.636779 + 1.10293i
\(367\) 12.5937 0.657388 0.328694 0.944436i \(-0.393391\pi\)
0.328694 + 0.944436i \(0.393391\pi\)
\(368\) 26.7635 46.3558i 1.39515 2.41646i
\(369\) 3.24124 5.61400i 0.168732 0.292253i
\(370\) −20.7690 35.9730i −1.07973 1.87015i
\(371\) 31.2453 + 12.2834i 1.62217 + 0.637723i
\(372\) 17.4225 0.903313
\(373\) −11.7036 −0.605987 −0.302994 0.952993i \(-0.597986\pi\)
−0.302994 + 0.952993i \(0.597986\pi\)
\(374\) 41.5526 2.14863
\(375\) 6.22211 0.321308
\(376\) 25.2839 43.7930i 1.30392 2.25845i
\(377\) −0.764942 11.2470i −0.0393965 0.579249i
\(378\) 6.28028 + 2.46895i 0.323023 + 0.126989i
\(379\) −16.4778 + 28.5403i −0.846406 + 1.46602i 0.0379888 + 0.999278i \(0.487905\pi\)
−0.884395 + 0.466740i \(0.845428\pi\)
\(380\) −21.3508 36.9807i −1.09527 1.89707i
\(381\) 0.886520 1.53550i 0.0454178 0.0786660i
\(382\) 0.839280 + 1.45368i 0.0429413 + 0.0743765i
\(383\) 12.6361 0.645672 0.322836 0.946455i \(-0.395364\pi\)
0.322836 + 0.946455i \(0.395364\pi\)
\(384\) −5.50543 9.53569i −0.280948 0.486616i
\(385\) −3.02996 20.1804i −0.154421 1.02849i
\(386\) −11.2041 19.4060i −0.570272 0.987741i
\(387\) 2.99197 + 5.18224i 0.152090 + 0.263428i
\(388\) −76.4685 −3.88210
\(389\) −0.0593906 0.102868i −0.00301122 0.00521559i 0.864516 0.502606i \(-0.167625\pi\)
−0.867527 + 0.497390i \(0.834292\pi\)
\(390\) −21.2754 + 14.2916i −1.07732 + 0.723682i
\(391\) 43.2381 2.18664
\(392\) 10.0032 43.5979i 0.505238 2.20203i
\(393\) 3.50734 6.07490i 0.176922 0.306438i
\(394\) 47.4293 2.38945
\(395\) −5.24271 9.08064i −0.263789 0.456897i
\(396\) 6.23423 10.7980i 0.313282 0.542620i
\(397\) 6.98302 0.350468 0.175234 0.984527i \(-0.443932\pi\)
0.175234 + 0.984527i \(0.443932\pi\)
\(398\) 38.8340 1.94657
\(399\) −7.03775 + 5.60586i −0.352328 + 0.280644i
\(400\) −10.0841 + 17.4662i −0.504207 + 0.873312i
\(401\) 9.57584 + 16.5858i 0.478194 + 0.828257i 0.999687 0.0249985i \(-0.00795810\pi\)
−0.521493 + 0.853256i \(0.674625\pi\)
\(402\) −11.0703 19.1743i −0.552135 0.956326i
\(403\) 12.5201 + 6.13599i 0.623669 + 0.305656i
\(404\) 4.15109 7.18989i 0.206524 0.357711i
\(405\) −1.39351 + 2.41363i −0.0692440 + 0.119934i
\(406\) −16.5030 + 13.1453i −0.819028 + 0.652391i
\(407\) 8.08580 + 14.0050i 0.400798 + 0.694203i
\(408\) −18.8087 + 32.5776i −0.931167 + 1.61283i
\(409\) −5.84506 + 10.1239i −0.289019 + 0.500596i −0.973576 0.228363i \(-0.926663\pi\)
0.684557 + 0.728960i \(0.259996\pi\)
\(410\) 23.0403 39.9069i 1.13788 1.97086i
\(411\) −9.82872 + 17.0239i −0.484815 + 0.839725i
\(412\) −10.7456 18.6119i −0.529398 0.916944i
\(413\) 1.07500 + 7.15981i 0.0528972 + 0.352311i
\(414\) 9.36684 16.2238i 0.460355 0.797358i
\(415\) −6.71794 + 11.6358i −0.329771 + 0.571180i
\(416\) 1.42082 + 20.8904i 0.0696616 + 1.02424i
\(417\) 9.17342 + 15.8888i 0.449224 + 0.778079i
\(418\) 12.0023 + 20.7885i 0.587049 + 1.01680i
\(419\) 7.89905 13.6816i 0.385894 0.668388i −0.605999 0.795465i \(-0.707226\pi\)
0.991893 + 0.127078i \(0.0405598\pi\)
\(420\) 30.9181 + 12.1548i 1.50865 + 0.593093i
\(421\) 8.58170 0.418247 0.209123 0.977889i \(-0.432939\pi\)
0.209123 + 0.977889i \(0.432939\pi\)
\(422\) 54.0440 2.63082
\(423\) 3.95673 6.85325i 0.192383 0.333217i
\(424\) 40.5434 + 70.2232i 1.96896 + 3.41034i
\(425\) −16.2915 −0.790255
\(426\) 4.00596 6.93852i 0.194089 0.336173i
\(427\) 19.7689 15.7468i 0.956684 0.762039i
\(428\) −54.4043 −2.62973
\(429\) 8.28295 5.56400i 0.399905 0.268632i
\(430\) 21.2683 + 36.8378i 1.02565 + 1.77648i
\(431\) −19.4446 −0.936615 −0.468308 0.883565i \(-0.655136\pi\)
−0.468308 + 0.883565i \(0.655136\pi\)
\(432\) 3.64382 + 6.31127i 0.175313 + 0.303651i
\(433\) 2.35409 + 4.07740i 0.113130 + 0.195948i 0.917031 0.398816i \(-0.130579\pi\)
−0.803900 + 0.594764i \(0.797246\pi\)
\(434\) −3.87463 25.8062i −0.185988 1.23874i
\(435\) −4.35689 7.54635i −0.208897 0.361820i
\(436\) −30.7163 −1.47104
\(437\) 12.4891 + 21.6318i 0.597435 + 1.03479i
\(438\) 12.2501 21.2178i 0.585334 1.01383i
\(439\) 10.3311 + 17.8941i 0.493078 + 0.854037i 0.999968 0.00797405i \(-0.00253825\pi\)
−0.506890 + 0.862011i \(0.669205\pi\)
\(440\) 24.6434 42.6836i 1.17483 2.03486i
\(441\) 1.56542 6.82272i 0.0745437 0.324891i
\(442\) −44.9385 + 30.1870i −2.13751 + 1.43585i
\(443\) 6.14100 10.6365i 0.291768 0.505357i −0.682460 0.730923i \(-0.739090\pi\)
0.974228 + 0.225566i \(0.0724232\pi\)
\(444\) −26.3270 −1.24942
\(445\) 4.89282 0.231942
\(446\) 2.31221 0.109486
\(447\) 8.80290 0.416363
\(448\) 0.489931 0.390251i 0.0231471 0.0184376i
\(449\) 13.7884 + 23.8822i 0.650714 + 1.12707i 0.982950 + 0.183874i \(0.0588638\pi\)
−0.332235 + 0.943196i \(0.607803\pi\)
\(450\) −3.52930 + 6.11292i −0.166373 + 0.288166i
\(451\) −8.97003 + 15.5365i −0.422382 + 0.731587i
\(452\) 24.5510 1.15478
\(453\) 4.83567 + 8.37562i 0.227199 + 0.393521i
\(454\) 4.91771 0.230800
\(455\) 17.9375 + 19.6236i 0.840922 + 0.919970i
\(456\) −21.7311 −1.01765
\(457\) −6.93931 12.0192i −0.324607 0.562236i 0.656826 0.754042i \(-0.271899\pi\)
−0.981433 + 0.191806i \(0.938565\pi\)
\(458\) −25.7901 −1.20509
\(459\) −2.94340 + 5.09812i −0.137386 + 0.237960i
\(460\) 46.1134 79.8708i 2.15005 3.72399i
\(461\) −12.2050 21.1396i −0.568441 0.984569i −0.996720 0.0809228i \(-0.974213\pi\)
0.428279 0.903647i \(-0.359120\pi\)
\(462\) −17.3805 6.83275i −0.808612 0.317888i
\(463\) −11.6449 −0.541185 −0.270593 0.962694i \(-0.587220\pi\)
−0.270593 + 0.962694i \(0.587220\pi\)
\(464\) −22.7852 −1.05778
\(465\) 10.7775 0.499796
\(466\) −66.8929 −3.09875
\(467\) 2.09483 3.62835i 0.0969370 0.167900i −0.813478 0.581595i \(-0.802429\pi\)
0.910415 + 0.413695i \(0.135762\pi\)
\(468\) 1.10228 + 16.2069i 0.0509530 + 0.749165i
\(469\) −17.9644 + 14.3094i −0.829517 + 0.660745i
\(470\) 28.1263 48.7161i 1.29737 2.24711i
\(471\) 5.76601 + 9.98702i 0.265684 + 0.460177i
\(472\) −8.74322 + 15.1437i −0.402439 + 0.697045i
\(473\) −8.28017 14.3417i −0.380723 0.659431i
\(474\) −9.59583 −0.440751
\(475\) −4.70573 8.15056i −0.215914 0.373973i
\(476\) 65.3060 + 25.6736i 2.99329 + 1.17675i
\(477\) 6.34471 + 10.9894i 0.290504 + 0.503168i
\(478\) −35.7788 61.9706i −1.63648 2.83447i
\(479\) −15.0085 −0.685754 −0.342877 0.939380i \(-0.611401\pi\)
−0.342877 + 0.939380i \(0.611401\pi\)
\(480\) 8.09259 + 14.0168i 0.369375 + 0.639775i
\(481\) −18.9190 9.27206i −0.862632 0.422769i
\(482\) −11.3564 −0.517268
\(483\) −18.0855 7.10991i −0.822917 0.323512i
\(484\) 7.52652 13.0363i 0.342115 0.592560i
\(485\) −47.3033 −2.14793
\(486\) 1.27528 + 2.20885i 0.0578479 + 0.100196i
\(487\) −3.30409 + 5.72285i −0.149722 + 0.259327i −0.931125 0.364701i \(-0.881171\pi\)
0.781402 + 0.624027i \(0.214505\pi\)
\(488\) 61.0423 2.76326
\(489\) 12.1704 0.550366
\(490\) 11.1277 48.4990i 0.502699 2.19096i
\(491\) −16.4555 + 28.5018i −0.742628 + 1.28627i 0.208666 + 0.977987i \(0.433088\pi\)
−0.951295 + 0.308283i \(0.900246\pi\)
\(492\) −14.6030 25.2931i −0.658354 1.14030i
\(493\) −9.20272 15.9396i −0.414470 0.717883i
\(494\) −28.0826 13.7631i −1.26350 0.619231i
\(495\) 3.85649 6.67963i 0.173336 0.300227i
\(496\) 14.0908 24.4060i 0.632696 1.09586i
\(497\) −7.73469 3.04073i −0.346948 0.136395i
\(498\) 6.14798 + 10.6486i 0.275498 + 0.477176i
\(499\) −17.9199 + 31.0381i −0.802204 + 1.38946i 0.115959 + 0.993254i \(0.463006\pi\)
−0.918163 + 0.396203i \(0.870328\pi\)
\(500\) 14.0165 24.2772i 0.626835 1.08571i
\(501\) −4.54697 + 7.87559i −0.203144 + 0.351855i
\(502\) 3.96390 6.86567i 0.176917 0.306430i
\(503\) −9.67700 16.7610i −0.431476 0.747338i 0.565525 0.824731i \(-0.308674\pi\)
−0.997001 + 0.0773931i \(0.975340\pi\)
\(504\) 13.2241 10.5336i 0.589050 0.469203i
\(505\) 2.56786 4.44766i 0.114268 0.197918i
\(506\) −25.9224 + 44.8989i −1.15239 + 1.99600i
\(507\) −4.91577 + 12.0348i −0.218317 + 0.534482i
\(508\) −3.99410 6.91799i −0.177210 0.306936i
\(509\) −5.24874 9.09108i −0.232646 0.402955i 0.725940 0.687758i \(-0.241405\pi\)
−0.958586 + 0.284803i \(0.908072\pi\)
\(510\) −20.9231 + 36.2398i −0.926489 + 1.60473i
\(511\) −23.6525 9.29847i −1.04633 0.411340i
\(512\) −50.8157 −2.24576
\(513\) −3.40075 −0.150147
\(514\) 33.1386 57.3978i 1.46168 2.53171i
\(515\) −6.64721 11.5133i −0.292911 0.507337i
\(516\) 26.9599 1.18684
\(517\) −10.9501 + 18.9662i −0.481585 + 0.834130i
\(518\) 5.85492 + 38.9955i 0.257250 + 1.71337i
\(519\) 1.34730 0.0591398
\(520\) 4.35722 + 64.0645i 0.191077 + 2.80941i
\(521\) 10.7923 + 18.6928i 0.472818 + 0.818945i 0.999516 0.0311074i \(-0.00990340\pi\)
−0.526698 + 0.850053i \(0.676570\pi\)
\(522\) −7.97449 −0.349034
\(523\) −1.73189 2.99973i −0.0757304 0.131169i 0.825673 0.564149i \(-0.190796\pi\)
−0.901404 + 0.432980i \(0.857462\pi\)
\(524\) −15.8019 27.3697i −0.690308 1.19565i
\(525\) 6.81436 + 2.67892i 0.297403 + 0.116918i
\(526\) −16.2988 28.2304i −0.710662 1.23090i
\(527\) 22.7645 0.991639
\(528\) −10.0841 17.4662i −0.438856 0.760121i
\(529\) −15.4739 + 26.8016i −0.672779 + 1.16529i
\(530\) 45.1012 + 78.1175i 1.95907 + 3.39321i
\(531\) −1.36824 + 2.36987i −0.0593767 + 0.102843i
\(532\) 6.01893 + 40.0879i 0.260954 + 1.73803i
\(533\) −1.58600 23.3191i −0.0686973 1.01006i
\(534\) 2.23885 3.87781i 0.0968846 0.167809i
\(535\) −33.6544 −1.45501
\(536\) −55.4703 −2.39595
\(537\) 5.95993 0.257190
\(538\) 4.99270 0.215250
\(539\) −4.33224 + 18.8816i −0.186603 + 0.813290i
\(540\) 6.27828 + 10.8743i 0.270174 + 0.467955i
\(541\) 4.46427 7.73234i 0.191934 0.332439i −0.753957 0.656924i \(-0.771857\pi\)
0.945891 + 0.324484i \(0.105191\pi\)
\(542\) −34.3329 + 59.4663i −1.47472 + 2.55430i
\(543\) −10.4495 −0.448432
\(544\) 17.0934 + 29.6066i 0.732872 + 1.26937i
\(545\) −19.0010 −0.813915
\(546\) 23.7605 5.23699i 1.01686 0.224123i
\(547\) −3.62704 −0.155081 −0.0775405 0.996989i \(-0.524707\pi\)
−0.0775405 + 0.996989i \(0.524707\pi\)
\(548\) 44.2821 + 76.6988i 1.89164 + 3.27641i
\(549\) 9.55263 0.407696
\(550\) 9.76721 16.9173i 0.416475 0.721357i
\(551\) 5.31632 9.20813i 0.226483 0.392280i
\(552\) −23.4674 40.6468i −0.998839 1.73004i
\(553\) 1.47795 + 9.84361i 0.0628490 + 0.418593i
\(554\) −59.0598 −2.50921
\(555\) −16.2858 −0.691296
\(556\) 82.6593 3.50554
\(557\) −20.0447 −0.849320 −0.424660 0.905353i \(-0.639606\pi\)
−0.424660 + 0.905353i \(0.639606\pi\)
\(558\) 4.93157 8.54173i 0.208770 0.361600i
\(559\) 19.3738 + 9.49495i 0.819424 + 0.401593i
\(560\) 42.0325 33.4807i 1.77620 1.41482i
\(561\) 8.14577 14.1089i 0.343914 0.595677i
\(562\) 34.3494 + 59.4948i 1.44894 + 2.50964i
\(563\) 3.77715 6.54221i 0.159188 0.275721i −0.775388 0.631485i \(-0.782446\pi\)
0.934576 + 0.355763i \(0.115779\pi\)
\(564\) −17.8265 30.8765i −0.750632 1.30013i
\(565\) 15.1872 0.638930
\(566\) −19.4408 33.6725i −0.817158 1.41536i
\(567\) 2.06947 1.64842i 0.0869096 0.0692272i
\(568\) −10.0364 17.3836i −0.421119 0.729399i
\(569\) −14.0828 24.3921i −0.590381 1.02257i −0.994181 0.107723i \(-0.965644\pi\)
0.403800 0.914847i \(-0.367689\pi\)
\(570\) −24.1741 −1.01254
\(571\) 9.03604 + 15.6509i 0.378146 + 0.654969i 0.990793 0.135389i \(-0.0432283\pi\)
−0.612646 + 0.790357i \(0.709895\pi\)
\(572\) −3.05053 44.8521i −0.127549 1.87536i
\(573\) 0.658114 0.0274931
\(574\) −34.2166 + 27.2550i −1.42817 + 1.13760i
\(575\) 10.1634 17.6035i 0.423843 0.734118i
\(576\) 0.236742 0.00986427
\(577\) 21.5383 + 37.3054i 0.896651 + 1.55305i 0.831747 + 0.555154i \(0.187341\pi\)
0.0649040 + 0.997892i \(0.479326\pi\)
\(578\) −22.5144 + 38.9961i −0.936476 + 1.62202i
\(579\) −8.78557 −0.365116
\(580\) −39.2588 −1.63013
\(581\) 9.97668 7.94684i 0.413902 0.329691i
\(582\) −21.6450 + 37.4903i −0.897215 + 1.55402i
\(583\) −17.5588 30.4127i −0.727210 1.25956i
\(584\) −30.6911 53.1586i −1.27001 2.19972i
\(585\) 0.681870 + 10.0256i 0.0281919 + 0.414506i
\(586\) −5.21304 + 9.02925i −0.215349 + 0.372995i
\(587\) 2.26101 3.91619i 0.0933220 0.161638i −0.815585 0.578637i \(-0.803585\pi\)
0.908907 + 0.416999i \(0.136918\pi\)
\(588\) −23.0943 21.4773i −0.952391 0.885710i
\(589\) 6.57542 + 11.3890i 0.270936 + 0.469274i
\(590\) −9.72610 + 16.8461i −0.400417 + 0.693543i
\(591\) 9.29781 16.1043i 0.382461 0.662442i
\(592\) −21.2925 + 36.8797i −0.875117 + 1.51575i
\(593\) 1.43449 2.48460i 0.0589073 0.102030i −0.835068 0.550147i \(-0.814572\pi\)
0.893975 + 0.448117i \(0.147905\pi\)
\(594\) −3.52930 6.11292i −0.144809 0.250816i
\(595\) 40.3982 + 15.8817i 1.65616 + 0.651085i
\(596\) 19.8302 34.3469i 0.812276 1.40690i
\(597\) 7.61283 13.1858i 0.311572 0.539659i
\(598\) −4.58337 67.3895i −0.187428 2.75576i
\(599\) −2.94653 5.10354i −0.120392 0.208525i 0.799530 0.600626i \(-0.205082\pi\)
−0.919922 + 0.392101i \(0.871748\pi\)
\(600\) 8.84221 + 15.3151i 0.360982 + 0.625238i
\(601\) −9.46284 + 16.3901i −0.385997 + 0.668567i −0.991907 0.126967i \(-0.959476\pi\)
0.605910 + 0.795533i \(0.292809\pi\)
\(602\) −5.99567 39.9329i −0.244365 1.62754i
\(603\) −8.68066 −0.353504
\(604\) 43.5730 1.77296
\(605\) 4.65590 8.06425i 0.189289 0.327858i
\(606\) −2.35000 4.07031i −0.0954621 0.165345i
\(607\) 43.8783 1.78096 0.890482 0.455019i \(-0.150367\pi\)
0.890482 + 0.455019i \(0.150367\pi\)
\(608\) −9.87466 + 17.1034i −0.400470 + 0.693635i
\(609\) 1.22823 + 8.18041i 0.0497705 + 0.331487i
\(610\) 67.9045 2.74937
\(611\) −1.93610 28.4666i −0.0783263 1.15164i
\(612\) 13.2611 + 22.9689i 0.536049 + 0.928464i
\(613\) 30.5826 1.23522 0.617610 0.786484i \(-0.288101\pi\)
0.617610 + 0.786484i \(0.288101\pi\)
\(614\) −1.33007 2.30375i −0.0536773 0.0929718i
\(615\) −9.03340 15.6463i −0.364262 0.630920i
\(616\) −36.5974 + 29.1513i −1.47455 + 1.17454i
\(617\) 22.1042 + 38.2856i 0.889881 + 1.54132i 0.840015 + 0.542563i \(0.182546\pi\)
0.0498659 + 0.998756i \(0.484121\pi\)
\(618\) −12.1665 −0.489409
\(619\) 0.184678 + 0.319871i 0.00742283 + 0.0128567i 0.869713 0.493558i \(-0.164304\pi\)
−0.862290 + 0.506415i \(0.830971\pi\)
\(620\) 24.2784 42.0514i 0.975043 1.68882i
\(621\) −3.67246 6.36089i −0.147371 0.255254i
\(622\) −9.91466 + 17.1727i −0.397542 + 0.688562i
\(623\) −4.32277 1.69940i −0.173188 0.0680851i
\(624\) 23.5947 + 11.5636i 0.944543 + 0.462913i
\(625\) 15.5892 27.0013i 0.623569 1.08005i
\(626\) 62.2084 2.48635
\(627\) 9.41145 0.375857
\(628\) 51.9560 2.07327
\(629\) −34.3993 −1.37159
\(630\) 14.7108 11.7177i 0.586091 0.466846i
\(631\) 6.70906 + 11.6204i 0.267083 + 0.462602i 0.968107 0.250536i \(-0.0806067\pi\)
−0.701024 + 0.713138i \(0.747273\pi\)
\(632\) −12.0206 + 20.8202i −0.478152 + 0.828184i
\(633\) 10.5945 18.3503i 0.421095 0.729357i
\(634\) 27.4464 1.09003
\(635\) −2.47075 4.27946i −0.0980486 0.169825i
\(636\) 57.1706 2.26696
\(637\) −9.03183 23.5675i −0.357854 0.933777i
\(638\) 22.0691 0.873725
\(639\) −1.57062 2.72039i −0.0621327 0.107617i
\(640\) −30.6875 −1.21303
\(641\) −21.5169 + 37.2683i −0.849865 + 1.47201i 0.0314626 + 0.999505i \(0.489984\pi\)
−0.881328 + 0.472505i \(0.843350\pi\)
\(642\) −15.3996 + 26.6728i −0.607773 + 1.05269i
\(643\) 14.6688 + 25.4071i 0.578482 + 1.00196i 0.995654 + 0.0931324i \(0.0296880\pi\)
−0.417172 + 0.908828i \(0.636979\pi\)
\(644\) −68.4821 + 54.5489i −2.69857 + 2.14953i
\(645\) 16.6773 0.656669
\(646\) −51.0611 −2.00897
\(647\) −18.0070 −0.707930 −0.353965 0.935259i \(-0.615167\pi\)
−0.353965 + 0.935259i \(0.615167\pi\)
\(648\) 6.39011 0.251027
\(649\) 3.78656 6.55852i 0.148636 0.257445i
\(650\) 1.72695 + 25.3915i 0.0677366 + 0.995936i
\(651\) −9.52186 3.74332i −0.373191 0.146712i
\(652\) 27.4161 47.4862i 1.07370 1.85970i
\(653\) −17.3270 30.0113i −0.678059 1.17443i −0.975565 0.219713i \(-0.929488\pi\)
0.297505 0.954720i \(-0.403845\pi\)
\(654\) −8.69448 + 15.0593i −0.339981 + 0.588865i
\(655\) −9.77502 16.9308i −0.381942 0.661543i
\(656\) −47.2420 −1.84449
\(657\) −4.80291 8.31889i −0.187379 0.324551i
\(658\) −41.7697 + 33.2713i −1.62835 + 1.29705i
\(659\) −2.68796 4.65569i −0.104708 0.181360i 0.808911 0.587931i \(-0.200058\pi\)
−0.913619 + 0.406572i \(0.866724\pi\)
\(660\) −17.3749 30.0942i −0.676318 1.17142i
\(661\) 40.4711 1.57414 0.787072 0.616861i \(-0.211596\pi\)
0.787072 + 0.616861i \(0.211596\pi\)
\(662\) 29.2921 + 50.7353i 1.13847 + 1.97188i
\(663\) 1.44026 + 21.1763i 0.0559351 + 0.822417i
\(664\) 30.8060 1.19550
\(665\) 3.72330 + 24.7983i 0.144384 + 0.961638i
\(666\) −7.45207 + 12.9074i −0.288762 + 0.500150i
\(667\) 22.9643 0.889182
\(668\) 20.4858 + 35.4825i 0.792620 + 1.37286i
\(669\) 0.453274 0.785093i 0.0175246 0.0303534i
\(670\) −61.7061 −2.38392
\(671\) −26.4366 −1.02057
\(672\) −2.28135 15.1945i −0.0880051 0.586140i
\(673\) 13.1634 22.7996i 0.507411 0.878861i −0.492553 0.870283i \(-0.663936\pi\)
0.999963 0.00857837i \(-0.00273061\pi\)
\(674\) −8.91465 15.4406i −0.343380 0.594751i
\(675\) 1.38373 + 2.39670i 0.0532599 + 0.0922489i
\(676\) 35.8831 + 46.2907i 1.38012 + 1.78041i
\(677\) −1.90262 + 3.29544i −0.0731236 + 0.126654i −0.900269 0.435335i \(-0.856630\pi\)
0.827145 + 0.561988i \(0.189963\pi\)
\(678\) 6.94935 12.0366i 0.266888 0.462264i
\(679\) 41.7921 + 16.4297i 1.60384 + 0.630513i
\(680\) 52.4201 + 90.7942i 2.01022 + 3.48180i
\(681\) 0.964045 1.66977i 0.0369423 0.0639859i
\(682\) −13.6480 + 23.6390i −0.522607 + 0.905182i
\(683\) −5.19765 + 9.00259i −0.198882 + 0.344474i −0.948166 0.317774i \(-0.897065\pi\)
0.749284 + 0.662249i \(0.230398\pi\)
\(684\) −7.66082 + 13.2689i −0.292919 + 0.507350i
\(685\) 27.3928 + 47.4458i 1.04663 + 1.81281i
\(686\) −26.6762 + 38.9836i −1.01850 + 1.48840i
\(687\) −5.05578 + 8.75686i −0.192890 + 0.334095i
\(688\) 21.8044 37.7663i 0.831284 1.43983i
\(689\) 41.0837 + 20.1348i 1.56516 + 0.767075i
\(690\) −26.1055 45.2161i −0.993821 1.72135i
\(691\) 4.09958 + 7.10067i 0.155955 + 0.270122i 0.933406 0.358821i \(-0.116821\pi\)
−0.777451 + 0.628943i \(0.783488\pi\)
\(692\) 3.03504 5.25684i 0.115375 0.199835i
\(693\) −5.72719 + 4.56195i −0.217558 + 0.173294i
\(694\) −5.49350 −0.208530
\(695\) 51.1329 1.93958
\(696\) −9.98953 + 17.3024i −0.378652 + 0.655845i
\(697\) −19.0806 33.0485i −0.722728 1.25180i
\(698\) 3.85841 0.146043
\(699\) −13.1134 + 22.7130i −0.495993 + 0.859085i
\(700\) 25.8031 20.5533i 0.975266 0.776841i
\(701\) 4.64503 0.175440 0.0877201 0.996145i \(-0.472042\pi\)
0.0877201 + 0.996145i \(0.472042\pi\)
\(702\) 8.25778 + 4.04708i 0.311670 + 0.152747i
\(703\) −9.93608 17.2098i −0.374746 0.649080i
\(704\) −0.655177 −0.0246929
\(705\) −11.0275 19.1001i −0.415319 0.719353i
\(706\) 41.3112 + 71.5531i 1.55477 + 2.69293i
\(707\) −3.81347 + 3.03759i −0.143420 + 0.114240i
\(708\) 6.16444 + 10.6771i 0.231674 + 0.401271i
\(709\) −44.3975 −1.66738 −0.833691 0.552231i \(-0.813777\pi\)
−0.833691 + 0.552231i \(0.813777\pi\)
\(710\) −11.1647 19.3378i −0.419003 0.725734i
\(711\) −1.88112 + 3.25819i −0.0705475 + 0.122192i
\(712\) −5.60916 9.71534i −0.210212 0.364098i
\(713\) −14.2016 + 24.5978i −0.531853 + 0.921196i
\(714\) 31.0724 24.7505i 1.16286 0.926264i
\(715\) −1.88705 27.7454i −0.0705718 1.03762i
\(716\) 13.4258 23.2542i 0.501747 0.869052i
\(717\) −28.0556 −1.04775
\(718\) 40.4599 1.50995
\(719\) −44.9378 −1.67590 −0.837949 0.545748i \(-0.816246\pi\)
−0.837949 + 0.545748i \(0.816246\pi\)
\(720\) 20.3108 0.756937
\(721\) 1.87389 + 12.4807i 0.0697874 + 0.464805i
\(722\) 9.48161 + 16.4226i 0.352869 + 0.611187i
\(723\) −2.22625 + 3.85597i −0.0827950 + 0.143405i
\(724\) −23.5395 + 40.7716i −0.874839 + 1.51527i
\(725\) −8.65265 −0.321351
\(726\) −4.26088 7.38007i −0.158136 0.273900i
\(727\) −49.7876 −1.84652 −0.923260 0.384177i \(-0.874485\pi\)
−0.923260 + 0.384177i \(0.874485\pi\)
\(728\) 18.4017 58.1139i 0.682012 2.15384i
\(729\) 1.00000 0.0370370
\(730\) −34.1413 59.1345i −1.26363 2.18867i
\(731\) 35.2263 1.30289
\(732\) 21.5191 37.2721i 0.795368 1.37762i
\(733\) 9.96819 17.2654i 0.368184 0.637713i −0.621098 0.783733i \(-0.713313\pi\)
0.989282 + 0.146020i \(0.0466465\pi\)
\(734\) −16.0606 27.8177i −0.592807 1.02677i
\(735\) −14.2861 13.2859i −0.526950 0.490056i
\(736\) −42.6545 −1.57227
\(737\) 24.0234 0.884914
\(738\) −16.5340 −0.608624
\(739\) 48.0471 1.76744 0.883721 0.468014i \(-0.155030\pi\)
0.883721 + 0.468014i \(0.155030\pi\)
\(740\) −36.6869 + 63.5436i −1.34864 + 2.33591i
\(741\) −10.1783 + 6.83721i −0.373911 + 0.251171i
\(742\) −12.7143 84.6810i −0.466757 3.10874i
\(743\) −0.250266 + 0.433473i −0.00918137 + 0.0159026i −0.870580 0.492028i \(-0.836256\pi\)
0.861398 + 0.507930i \(0.169589\pi\)
\(744\) −12.3554 21.4002i −0.452972 0.784570i
\(745\) 12.2669 21.2469i 0.449425 0.778427i
\(746\) 14.9253 + 25.8514i 0.546455 + 0.946488i
\(747\) 4.82088 0.176387
\(748\) −36.6997 63.5657i −1.34187 2.32419i
\(749\) 29.7334 + 11.6891i 1.08644 + 0.427109i
\(750\) −7.93494 13.7437i −0.289743 0.501850i
\(751\) −21.9025 37.9363i −0.799235 1.38432i −0.920115 0.391648i \(-0.871905\pi\)
0.120880 0.992667i \(-0.461428\pi\)
\(752\) −57.6704 −2.10302
\(753\) −1.55413 2.69183i −0.0566355 0.0980956i
\(754\) −23.8674 + 16.0327i −0.869200 + 0.583877i
\(755\) 26.9542 0.980963
\(756\) −1.76989 11.7880i −0.0643701 0.428724i
\(757\) 1.91271 3.31291i 0.0695186 0.120410i −0.829171 0.558995i \(-0.811187\pi\)
0.898689 + 0.438585i \(0.144520\pi\)
\(758\) 84.0552 3.05302
\(759\) 10.1634 + 17.6035i 0.368908 + 0.638968i
\(760\) −30.2825 + 52.4509i −1.09846 + 1.90259i
\(761\) −5.73144 −0.207765 −0.103882 0.994590i \(-0.533127\pi\)
−0.103882 + 0.994590i \(0.533127\pi\)
\(762\) −4.52225 −0.163824
\(763\) 16.7873 + 6.59956i 0.607740 + 0.238920i
\(764\) 1.48252 2.56781i 0.0536358 0.0928999i
\(765\) 8.20331 + 14.2086i 0.296591 + 0.513711i
\(766\) −16.1145 27.9112i −0.582242 1.00847i
\(767\) 0.669507 + 9.84380i 0.0241745 + 0.355439i
\(768\) −14.2787 + 24.7314i −0.515238 + 0.892419i
\(769\) 8.50053 14.7234i 0.306537 0.530938i −0.671065 0.741398i \(-0.734163\pi\)
0.977602 + 0.210461i \(0.0674964\pi\)
\(770\) −40.7115 + 32.4284i −1.46714 + 1.16864i
\(771\) −12.9927 22.5040i −0.467920 0.810461i
\(772\) −19.7911 + 34.2792i −0.712298 + 1.23374i
\(773\) 6.09320 10.5537i 0.219157 0.379591i −0.735393 0.677640i \(-0.763003\pi\)
0.954550 + 0.298049i \(0.0963360\pi\)
\(774\) 7.63120 13.2176i 0.274298 0.475098i
\(775\) 5.35096 9.26813i 0.192212 0.332921i
\(776\) 54.2288 + 93.9271i 1.94670 + 3.37179i