Properties

Label 273.2.bh.a.131.5
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.5
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.75475 - 1.01310i) q^{2} +(0.351400 - 1.69603i) q^{3} +(1.05276 + 1.82344i) q^{4} +(0.867268 - 1.50215i) q^{5} +(-2.33487 + 2.62010i) q^{6} +(-1.44131 - 2.21870i) q^{7} -0.213809i q^{8} +(-2.75304 - 1.19197i) q^{9} +O(q^{10})\) \(q+(-1.75475 - 1.01310i) q^{2} +(0.351400 - 1.69603i) q^{3} +(1.05276 + 1.82344i) q^{4} +(0.867268 - 1.50215i) q^{5} +(-2.33487 + 2.62010i) q^{6} +(-1.44131 - 2.21870i) q^{7} -0.213809i q^{8} +(-2.75304 - 1.19197i) q^{9} +(-3.04367 + 1.75727i) q^{10} +(1.31189 - 0.757418i) q^{11} +(3.46254 - 1.14476i) q^{12} -1.00000i q^{13} +(0.281367 + 5.35346i) q^{14} +(-2.24294 - 1.99877i) q^{15} +(1.88891 - 3.27169i) q^{16} +(0.154043 + 0.266810i) q^{17} +(3.62330 + 4.88072i) q^{18} +(-2.66086 - 1.53625i) q^{19} +3.65210 q^{20} +(-4.26945 + 1.66486i) q^{21} -3.06937 q^{22} +(0.576577 + 0.332887i) q^{23} +(-0.362627 - 0.0751324i) q^{24} +(0.995693 + 1.72459i) q^{25} +(-1.01310 + 1.75475i) q^{26} +(-2.98903 + 4.25038i) q^{27} +(2.52829 - 4.96390i) q^{28} +5.66850i q^{29} +(1.91083 + 5.77966i) q^{30} +(-7.48790 + 4.32314i) q^{31} +(-6.99945 + 4.04114i) q^{32} +(-0.823607 - 2.49115i) q^{33} -0.624246i q^{34} +(-4.58282 + 0.240864i) q^{35} +(-0.724811 - 6.27484i) q^{36} +(4.16394 - 7.21215i) q^{37} +(3.11276 + 5.39145i) q^{38} +(-1.69603 - 0.351400i) q^{39} +(-0.321174 - 0.185430i) q^{40} -3.26198 q^{41} +(9.17849 + 1.40399i) q^{42} +4.68236 q^{43} +(2.76220 + 1.59476i) q^{44} +(-4.17814 + 3.10172i) q^{45} +(-0.674498 - 1.16826i) q^{46} +(5.48893 - 9.50711i) q^{47} +(-4.88512 - 4.35332i) q^{48} +(-2.84524 + 6.39567i) q^{49} -4.03497i q^{50} +(0.506648 - 0.167504i) q^{51} +(1.82344 - 1.05276i) q^{52} +(8.24085 - 4.75786i) q^{53} +(9.55107 - 4.43014i) q^{54} -2.62754i q^{55} +(-0.474378 + 0.308166i) q^{56} +(-3.54054 + 3.97306i) q^{57} +(5.74278 - 9.94679i) q^{58} +(-5.29169 - 9.16547i) q^{59} +(1.28335 - 6.19408i) q^{60} +(1.22105 + 0.704974i) q^{61} +17.5192 q^{62} +(1.32337 + 7.82615i) q^{63} +8.82073 q^{64} +(-1.50215 - 0.867268i) q^{65} +(-1.07858 + 5.20575i) q^{66} +(-2.53858 - 4.39695i) q^{67} +(-0.324340 + 0.561774i) q^{68} +(0.767195 - 0.860915i) q^{69} +(8.28572 + 4.22022i) q^{70} -1.91112i q^{71} +(-0.254854 + 0.588624i) q^{72} +(0.795968 - 0.459553i) q^{73} +(-14.6133 + 8.43701i) q^{74} +(3.27485 - 1.08271i) q^{75} -6.46920i q^{76} +(-3.57132 - 1.81900i) q^{77} +(2.62010 + 2.33487i) q^{78} +(5.27552 - 9.13746i) q^{79} +(-3.27638 - 5.67486i) q^{80} +(6.15842 + 6.56307i) q^{81} +(5.72395 + 3.30472i) q^{82} +16.3443 q^{83} +(-7.53048 - 6.03238i) q^{84} +0.534385 q^{85} +(-8.21636 - 4.74372i) q^{86} +(9.61395 + 1.99191i) q^{87} +(-0.161943 - 0.280493i) q^{88} +(-2.53503 + 4.39080i) q^{89} +(10.4739 - 1.20985i) q^{90} +(-2.21870 + 1.44131i) q^{91} +1.40180i q^{92} +(4.70093 + 14.2189i) q^{93} +(-19.2634 + 11.1217i) q^{94} +(-4.61535 + 2.66467i) q^{95} +(4.39428 + 13.2913i) q^{96} -18.2497i q^{97} +(11.4722 - 8.34027i) q^{98} +(-4.51449 + 0.521472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.75475 1.01310i −1.24079 0.716373i −0.271538 0.962428i \(-0.587532\pi\)
−0.969256 + 0.246055i \(0.920866\pi\)
\(3\) 0.351400 1.69603i 0.202881 0.979203i
\(4\) 1.05276 + 1.82344i 0.526380 + 0.911718i
\(5\) 0.867268 1.50215i 0.387854 0.671783i −0.604307 0.796752i \(-0.706550\pi\)
0.992161 + 0.124969i \(0.0398832\pi\)
\(6\) −2.33487 + 2.62010i −0.953208 + 1.06965i
\(7\) −1.44131 2.21870i −0.544765 0.838589i
\(8\) 0.213809i 0.0755929i
\(9\) −2.75304 1.19197i −0.917679 0.397323i
\(10\) −3.04367 + 1.75727i −0.962494 + 0.555696i
\(11\) 1.31189 0.757418i 0.395548 0.228370i −0.289013 0.957325i \(-0.593327\pi\)
0.684561 + 0.728955i \(0.259994\pi\)
\(12\) 3.46254 1.14476i 0.999550 0.330464i
\(13\) 1.00000i 0.277350i
\(14\) 0.281367 + 5.35346i 0.0751986 + 1.43077i
\(15\) −2.24294 1.99877i −0.579124 0.516080i
\(16\) 1.88891 3.27169i 0.472228 0.817922i
\(17\) 0.154043 + 0.266810i 0.0373609 + 0.0647109i 0.884101 0.467295i \(-0.154772\pi\)
−0.846740 + 0.532006i \(0.821438\pi\)
\(18\) 3.62330 + 4.88072i 0.854019 + 1.15040i
\(19\) −2.66086 1.53625i −0.610442 0.352439i 0.162696 0.986676i \(-0.447981\pi\)
−0.773139 + 0.634237i \(0.781314\pi\)
\(20\) 3.65210 0.816635
\(21\) −4.26945 + 1.66486i −0.931671 + 0.363302i
\(22\) −3.06937 −0.654392
\(23\) 0.576577 + 0.332887i 0.120225 + 0.0694117i 0.558906 0.829231i \(-0.311221\pi\)
−0.438682 + 0.898642i \(0.644554\pi\)
\(24\) −0.362627 0.0751324i −0.0740208 0.0153363i
\(25\) 0.995693 + 1.72459i 0.199139 + 0.344918i
\(26\) −1.01310 + 1.75475i −0.198686 + 0.344134i
\(27\) −2.98903 + 4.25038i −0.575239 + 0.817985i
\(28\) 2.52829 4.96390i 0.477803 0.938088i
\(29\) 5.66850i 1.05261i 0.850295 + 0.526307i \(0.176424\pi\)
−0.850295 + 0.526307i \(0.823576\pi\)
\(30\) 1.91083 + 5.77966i 0.348868 + 1.05522i
\(31\) −7.48790 + 4.32314i −1.34487 + 0.776459i −0.987517 0.157512i \(-0.949653\pi\)
−0.357349 + 0.933971i \(0.616319\pi\)
\(32\) −6.99945 + 4.04114i −1.23734 + 0.714379i
\(33\) −0.823607 2.49115i −0.143372 0.433654i
\(34\) 0.624246i 0.107057i
\(35\) −4.58282 + 0.240864i −0.774639 + 0.0407135i
\(36\) −0.724811 6.27484i −0.120802 1.04581i
\(37\) 4.16394 7.21215i 0.684547 1.18567i −0.289032 0.957319i \(-0.593333\pi\)
0.973579 0.228351i \(-0.0733333\pi\)
\(38\) 3.11276 + 5.39145i 0.504956 + 0.874609i
\(39\) −1.69603 0.351400i −0.271582 0.0562690i
\(40\) −0.321174 0.185430i −0.0507820 0.0293190i
\(41\) −3.26198 −0.509435 −0.254718 0.967016i \(-0.581982\pi\)
−0.254718 + 0.967016i \(0.581982\pi\)
\(42\) 9.17849 + 1.40399i 1.41627 + 0.216641i
\(43\) 4.68236 0.714053 0.357026 0.934094i \(-0.383791\pi\)
0.357026 + 0.934094i \(0.383791\pi\)
\(44\) 2.76220 + 1.59476i 0.416418 + 0.240419i
\(45\) −4.17814 + 3.10172i −0.622840 + 0.462378i
\(46\) −0.674498 1.16826i −0.0994493 0.172251i
\(47\) 5.48893 9.50711i 0.800643 1.38675i −0.118550 0.992948i \(-0.537825\pi\)
0.919193 0.393807i \(-0.128842\pi\)
\(48\) −4.88512 4.35332i −0.705107 0.628348i
\(49\) −2.84524 + 6.39567i −0.406463 + 0.913667i
\(50\) 4.03497i 0.570630i
\(51\) 0.506648 0.167504i 0.0709449 0.0234553i
\(52\) 1.82344 1.05276i 0.252865 0.145992i
\(53\) 8.24085 4.75786i 1.13197 0.653542i 0.187539 0.982257i \(-0.439949\pi\)
0.944429 + 0.328715i \(0.106616\pi\)
\(54\) 9.55107 4.43014i 1.29974 0.602866i
\(55\) 2.62754i 0.354297i
\(56\) −0.474378 + 0.308166i −0.0633914 + 0.0411804i
\(57\) −3.54054 + 3.97306i −0.468957 + 0.526244i
\(58\) 5.74278 9.94679i 0.754064 1.30608i
\(59\) −5.29169 9.16547i −0.688919 1.19324i −0.972188 0.234202i \(-0.924752\pi\)
0.283269 0.959041i \(-0.408581\pi\)
\(60\) 1.28335 6.19408i 0.165679 0.799652i
\(61\) 1.22105 + 0.704974i 0.156340 + 0.0902627i 0.576129 0.817359i \(-0.304563\pi\)
−0.419789 + 0.907622i \(0.637896\pi\)
\(62\) 17.5192 2.22494
\(63\) 1.32337 + 7.82615i 0.166728 + 0.986003i
\(64\) 8.82073 1.10259
\(65\) −1.50215 0.867268i −0.186319 0.107571i
\(66\) −1.07858 + 5.20575i −0.132764 + 0.640783i
\(67\) −2.53858 4.39695i −0.310137 0.537174i 0.668255 0.743933i \(-0.267042\pi\)
−0.978392 + 0.206759i \(0.933708\pi\)
\(68\) −0.324340 + 0.561774i −0.0393320 + 0.0681251i
\(69\) 0.767195 0.860915i 0.0923594 0.103642i
\(70\) 8.28572 + 4.22022i 0.990333 + 0.504413i
\(71\) 1.91112i 0.226808i −0.993549 0.113404i \(-0.963825\pi\)
0.993549 0.113404i \(-0.0361754\pi\)
\(72\) −0.254854 + 0.588624i −0.0300348 + 0.0693700i
\(73\) 0.795968 0.459553i 0.0931611 0.0537866i −0.452696 0.891665i \(-0.649538\pi\)
0.545857 + 0.837879i \(0.316204\pi\)
\(74\) −14.6133 + 8.43701i −1.69876 + 0.980782i
\(75\) 3.27485 1.08271i 0.378147 0.125020i
\(76\) 6.46920i 0.742068i
\(77\) −3.57132 1.81900i −0.406989 0.207295i
\(78\) 2.62010 + 2.33487i 0.296668 + 0.264372i
\(79\) 5.27552 9.13746i 0.593542 1.02804i −0.400209 0.916424i \(-0.631062\pi\)
0.993751 0.111621i \(-0.0356042\pi\)
\(80\) −3.27638 5.67486i −0.366311 0.634469i
\(81\) 6.15842 + 6.56307i 0.684269 + 0.729230i
\(82\) 5.72395 + 3.30472i 0.632104 + 0.364946i
\(83\) 16.3443 1.79402 0.897012 0.442005i \(-0.145733\pi\)
0.897012 + 0.442005i \(0.145733\pi\)
\(84\) −7.53048 6.03238i −0.821642 0.658186i
\(85\) 0.534385 0.0579622
\(86\) −8.21636 4.74372i −0.885992 0.511528i
\(87\) 9.61395 + 1.99191i 1.03072 + 0.213555i
\(88\) −0.161943 0.280493i −0.0172632 0.0299007i
\(89\) −2.53503 + 4.39080i −0.268713 + 0.465424i −0.968530 0.248898i \(-0.919932\pi\)
0.699817 + 0.714322i \(0.253265\pi\)
\(90\) 10.4739 1.20985i 1.10405 0.127530i
\(91\) −2.21870 + 1.44131i −0.232583 + 0.151091i
\(92\) 1.40180i 0.146148i
\(93\) 4.70093 + 14.2189i 0.487464 + 1.47443i
\(94\) −19.2634 + 11.1217i −1.98687 + 1.14712i
\(95\) −4.61535 + 2.66467i −0.473525 + 0.273390i
\(96\) 4.39428 + 13.2913i 0.448490 + 1.35654i
\(97\) 18.2497i 1.85298i −0.376320 0.926490i \(-0.622811\pi\)
0.376320 0.926490i \(-0.377189\pi\)
\(98\) 11.4722 8.34027i 1.15886 0.842494i
\(99\) −4.51449 + 0.521472i −0.453723 + 0.0524099i
\(100\) −2.09645 + 3.63116i −0.209645 + 0.363116i
\(101\) −1.48099 2.56516i −0.147364 0.255243i 0.782888 0.622163i \(-0.213746\pi\)
−0.930253 + 0.366920i \(0.880412\pi\)
\(102\) −1.05874 0.219360i −0.104831 0.0217198i
\(103\) 0.685447 + 0.395743i 0.0675391 + 0.0389937i 0.533389 0.845870i \(-0.320918\pi\)
−0.465850 + 0.884864i \(0.654251\pi\)
\(104\) −0.213809 −0.0209657
\(105\) −1.20189 + 7.85725i −0.117292 + 0.766789i
\(106\) −19.2808 −1.87272
\(107\) −13.4774 7.78118i −1.30291 0.752235i −0.322007 0.946737i \(-0.604357\pi\)
−0.980902 + 0.194502i \(0.937691\pi\)
\(108\) −10.8970 0.975675i −1.04857 0.0938844i
\(109\) 8.54423 + 14.7990i 0.818389 + 1.41749i 0.906869 + 0.421414i \(0.138466\pi\)
−0.0884794 + 0.996078i \(0.528201\pi\)
\(110\) −2.66197 + 4.61066i −0.253809 + 0.439609i
\(111\) −10.7688 9.59651i −1.02213 0.910860i
\(112\) −9.98140 + 0.524603i −0.943154 + 0.0495704i
\(113\) 0.621896i 0.0585030i 0.999572 + 0.0292515i \(0.00931238\pi\)
−0.999572 + 0.0292515i \(0.990688\pi\)
\(114\) 10.2379 3.38477i 0.958866 0.317013i
\(115\) 1.00009 0.577404i 0.0932591 0.0538432i
\(116\) −10.3361 + 5.96757i −0.959687 + 0.554075i
\(117\) −1.19197 + 2.75304i −0.110198 + 0.254518i
\(118\) 21.4441i 1.97409i
\(119\) 0.369947 0.726331i 0.0339130 0.0665826i
\(120\) −0.427355 + 0.479560i −0.0390120 + 0.0437777i
\(121\) −4.35264 + 7.53899i −0.395694 + 0.685363i
\(122\) −1.42842 2.47410i −0.129324 0.223995i
\(123\) −1.14626 + 5.53241i −0.103355 + 0.498841i
\(124\) −15.7659 9.10246i −1.41582 0.817425i
\(125\) 12.1268 1.08465
\(126\) 5.60654 15.0736i 0.499470 1.34287i
\(127\) −6.46999 −0.574119 −0.287059 0.957913i \(-0.592678\pi\)
−0.287059 + 0.957913i \(0.592678\pi\)
\(128\) −1.47925 0.854046i −0.130749 0.0754877i
\(129\) 1.64538 7.94142i 0.144867 0.699203i
\(130\) 1.75727 + 3.04367i 0.154122 + 0.266948i
\(131\) 4.36454 7.55961i 0.381332 0.660486i −0.609921 0.792462i \(-0.708799\pi\)
0.991253 + 0.131976i \(0.0421322\pi\)
\(132\) 3.67540 4.12438i 0.319902 0.358981i
\(133\) 0.426659 + 8.11785i 0.0369960 + 0.703907i
\(134\) 10.2874i 0.888696i
\(135\) 3.79242 + 8.17619i 0.326399 + 0.703695i
\(136\) 0.0570464 0.0329357i 0.00489169 0.00282422i
\(137\) −0.532033 + 0.307170i −0.0454547 + 0.0262433i −0.522555 0.852605i \(-0.675021\pi\)
0.477100 + 0.878849i \(0.341688\pi\)
\(138\) −2.21843 + 0.733441i −0.188845 + 0.0624346i
\(139\) 2.84490i 0.241301i 0.992695 + 0.120651i \(0.0384981\pi\)
−0.992695 + 0.120651i \(0.961502\pi\)
\(140\) −5.26382 8.10291i −0.444874 0.684821i
\(141\) −14.1955 12.6502i −1.19548 1.06534i
\(142\) −1.93616 + 3.35353i −0.162479 + 0.281422i
\(143\) −0.757418 1.31189i −0.0633384 0.109705i
\(144\) −9.09999 + 6.75556i −0.758333 + 0.562963i
\(145\) 8.51495 + 4.91611i 0.707128 + 0.408260i
\(146\) −1.86230 −0.154125
\(147\) 9.84744 + 7.07305i 0.812203 + 0.583375i
\(148\) 17.5345 1.44133
\(149\) −3.84711 2.22113i −0.315168 0.181962i 0.334069 0.942549i \(-0.391578\pi\)
−0.649237 + 0.760587i \(0.724911\pi\)
\(150\) −6.84342 1.41789i −0.558763 0.115770i
\(151\) −3.79205 6.56802i −0.308592 0.534498i 0.669462 0.742846i \(-0.266525\pi\)
−0.978055 + 0.208348i \(0.933191\pi\)
\(152\) −0.328463 + 0.568915i −0.0266419 + 0.0461451i
\(153\) −0.106056 0.918151i −0.00857414 0.0742281i
\(154\) 4.42392 + 6.81001i 0.356490 + 0.548766i
\(155\) 14.9973i 1.20461i
\(156\) −1.14476 3.46254i −0.0916541 0.277225i
\(157\) 15.2147 8.78419i 1.21426 0.701055i 0.250577 0.968097i \(-0.419380\pi\)
0.963685 + 0.267042i \(0.0860463\pi\)
\(158\) −18.5144 + 10.6893i −1.47293 + 0.850395i
\(159\) −5.17364 15.6486i −0.410296 1.24102i
\(160\) 14.0190i 1.10830i
\(161\) −0.0924519 1.75904i −0.00728623 0.138632i
\(162\) −4.15741 17.7557i −0.326637 1.39502i
\(163\) −4.77489 + 8.27034i −0.373998 + 0.647783i −0.990177 0.139823i \(-0.955347\pi\)
0.616179 + 0.787606i \(0.288680\pi\)
\(164\) −3.43408 5.94800i −0.268157 0.464461i
\(165\) −4.45638 0.923315i −0.346929 0.0718800i
\(166\) −28.6802 16.5585i −2.22602 1.28519i
\(167\) −13.8906 −1.07489 −0.537444 0.843299i \(-0.680610\pi\)
−0.537444 + 0.843299i \(0.680610\pi\)
\(168\) 0.355962 + 0.912848i 0.0274631 + 0.0704278i
\(169\) −1.00000 −0.0769231
\(170\) −0.937712 0.541388i −0.0719192 0.0415226i
\(171\) 5.49428 + 7.40100i 0.420158 + 0.565969i
\(172\) 4.92940 + 8.53797i 0.375863 + 0.651014i
\(173\) −1.64912 + 2.85635i −0.125380 + 0.217165i −0.921881 0.387472i \(-0.873348\pi\)
0.796501 + 0.604637i \(0.206682\pi\)
\(174\) −14.8520 13.2352i −1.12593 1.00336i
\(175\) 2.39124 4.69482i 0.180761 0.354895i
\(176\) 5.72278i 0.431371i
\(177\) −17.4044 + 5.75412i −1.30820 + 0.432506i
\(178\) 8.89668 5.13650i 0.666835 0.384997i
\(179\) 16.2321 9.37158i 1.21324 0.700465i 0.249777 0.968303i \(-0.419643\pi\)
0.963464 + 0.267839i \(0.0863094\pi\)
\(180\) −10.0544 4.35319i −0.749409 0.324468i
\(181\) 6.84735i 0.508959i 0.967078 + 0.254480i \(0.0819042\pi\)
−0.967078 + 0.254480i \(0.918096\pi\)
\(182\) 5.35346 0.281367i 0.396825 0.0208563i
\(183\) 1.62473 1.82321i 0.120104 0.134776i
\(184\) 0.0711742 0.123277i 0.00524703 0.00908812i
\(185\) −7.22250 12.5097i −0.531009 0.919734i
\(186\) 6.15623 29.7130i 0.451397 2.17867i
\(187\) 0.404173 + 0.233349i 0.0295561 + 0.0170642i
\(188\) 23.1141 1.68577
\(189\) 13.7384 + 0.505639i 0.999323 + 0.0367798i
\(190\) 10.7984 0.783396
\(191\) 19.4128 + 11.2080i 1.40466 + 0.810983i 0.994867 0.101193i \(-0.0322661\pi\)
0.409797 + 0.912177i \(0.365599\pi\)
\(192\) 3.09960 14.9602i 0.223694 1.07966i
\(193\) 13.5755 + 23.5135i 0.977187 + 1.69254i 0.672519 + 0.740080i \(0.265212\pi\)
0.304668 + 0.952458i \(0.401454\pi\)
\(194\) −18.4889 + 32.0237i −1.32742 + 2.29917i
\(195\) −1.99877 + 2.24294i −0.143135 + 0.160620i
\(196\) −14.6574 + 1.54500i −1.04696 + 0.110357i
\(197\) 25.1032i 1.78853i 0.447538 + 0.894265i \(0.352301\pi\)
−0.447538 + 0.894265i \(0.647699\pi\)
\(198\) 8.45009 + 3.65860i 0.600522 + 0.260005i
\(199\) 17.2684 9.96993i 1.22413 0.706749i 0.258331 0.966057i \(-0.416828\pi\)
0.965795 + 0.259307i \(0.0834942\pi\)
\(200\) 0.368733 0.212888i 0.0260734 0.0150535i
\(201\) −8.34943 + 2.76043i −0.588923 + 0.194705i
\(202\) 6.00161i 0.422272i
\(203\) 12.5767 8.17008i 0.882710 0.573427i
\(204\) 0.838813 + 0.747498i 0.0587286 + 0.0523353i
\(205\) −2.82901 + 4.89998i −0.197586 + 0.342230i
\(206\) −0.801858 1.38886i −0.0558681 0.0967663i
\(207\) −1.19055 1.60371i −0.0827487 0.111466i
\(208\) −3.27169 1.88891i −0.226851 0.130972i
\(209\) −4.65432 −0.321946
\(210\) 10.0692 12.5699i 0.694843 0.867402i
\(211\) 14.8115 1.01967 0.509833 0.860273i \(-0.329707\pi\)
0.509833 + 0.860273i \(0.329707\pi\)
\(212\) 17.3513 + 10.0178i 1.19169 + 0.688024i
\(213\) −3.24131 0.671566i −0.222091 0.0460150i
\(214\) 15.7663 + 27.3080i 1.07776 + 1.86674i
\(215\) 4.06086 7.03361i 0.276948 0.479688i
\(216\) 0.908769 + 0.639082i 0.0618339 + 0.0434840i
\(217\) 20.3841 + 10.3824i 1.38377 + 0.704802i
\(218\) 34.6248i 2.34509i
\(219\) −0.499712 1.51147i −0.0337674 0.102136i
\(220\) 4.79114 2.76617i 0.323019 0.186495i
\(221\) 0.266810 0.154043i 0.0179476 0.0103620i
\(222\) 9.17430 + 27.7494i 0.615739 + 1.86242i
\(223\) 11.2178i 0.751201i −0.926782 0.375601i \(-0.877436\pi\)
0.926782 0.375601i \(-0.122564\pi\)
\(224\) 19.0545 + 9.70513i 1.27313 + 0.648452i
\(225\) −0.685521 5.93470i −0.0457014 0.395647i
\(226\) 0.630045 1.09127i 0.0419100 0.0725903i
\(227\) 2.54933 + 4.41557i 0.169205 + 0.293072i 0.938141 0.346254i \(-0.112547\pi\)
−0.768935 + 0.639326i \(0.779213\pi\)
\(228\) −10.9720 2.27327i −0.726636 0.150551i
\(229\) 1.47644 + 0.852422i 0.0975658 + 0.0563297i 0.547989 0.836486i \(-0.315394\pi\)
−0.450423 + 0.892815i \(0.648727\pi\)
\(230\) −2.33988 −0.154287
\(231\) −4.34004 + 5.41787i −0.285554 + 0.356469i
\(232\) 1.21198 0.0795702
\(233\) −18.9590 10.9460i −1.24205 0.717096i −0.272536 0.962145i \(-0.587863\pi\)
−0.969511 + 0.245049i \(0.921196\pi\)
\(234\) 4.88072 3.62330i 0.319063 0.236862i
\(235\) −9.52075 16.4904i −0.621065 1.07572i
\(236\) 11.1418 19.2981i 0.725267 1.25620i
\(237\) −13.6436 12.1583i −0.886247 0.789769i
\(238\) −1.38501 + 0.899733i −0.0897770 + 0.0583210i
\(239\) 28.5311i 1.84552i 0.385371 + 0.922762i \(0.374073\pi\)
−0.385371 + 0.922762i \(0.625927\pi\)
\(240\) −10.7761 + 3.56270i −0.695591 + 0.229971i
\(241\) 13.4103 7.74244i 0.863833 0.498734i −0.00146087 0.999999i \(-0.500465\pi\)
0.865294 + 0.501265i \(0.167132\pi\)
\(242\) 15.2756 8.81935i 0.981950 0.566929i
\(243\) 13.2952 8.13861i 0.852889 0.522092i
\(244\) 2.96868i 0.190050i
\(245\) 7.13969 + 9.82074i 0.456138 + 0.627424i
\(246\) 7.61630 8.54671i 0.485598 0.544918i
\(247\) −1.53625 + 2.66086i −0.0977490 + 0.169306i
\(248\) 0.924326 + 1.60098i 0.0586948 + 0.101662i
\(249\) 5.74340 27.7205i 0.363973 1.75672i
\(250\) −21.2795 12.2857i −1.34583 0.777017i
\(251\) −13.7840 −0.870039 −0.435020 0.900421i \(-0.643259\pi\)
−0.435020 + 0.900421i \(0.643259\pi\)
\(252\) −12.8773 + 10.6521i −0.811194 + 0.671022i
\(253\) 1.00854 0.0634062
\(254\) 11.3532 + 6.55478i 0.712363 + 0.411283i
\(255\) 0.187783 0.906333i 0.0117594 0.0567568i
\(256\) −7.09025 12.2807i −0.443141 0.767543i
\(257\) −13.0214 + 22.5537i −0.812252 + 1.40686i 0.0990316 + 0.995084i \(0.468425\pi\)
−0.911284 + 0.411778i \(0.864908\pi\)
\(258\) −10.9327 + 12.2682i −0.680641 + 0.763788i
\(259\) −22.0031 + 1.15644i −1.36721 + 0.0718578i
\(260\) 3.65210i 0.226494i
\(261\) 6.75667 15.6056i 0.418228 0.965962i
\(262\) −15.3173 + 8.84348i −0.946309 + 0.546352i
\(263\) 4.85969 2.80574i 0.299661 0.173009i −0.342629 0.939471i \(-0.611318\pi\)
0.642291 + 0.766461i \(0.277984\pi\)
\(264\) −0.532631 + 0.176095i −0.0327812 + 0.0108379i
\(265\) 16.5053i 1.01392i
\(266\) 7.47555 14.6770i 0.458355 0.899906i
\(267\) 6.55612 + 5.84242i 0.401228 + 0.357550i
\(268\) 5.34504 9.25788i 0.326500 0.565515i
\(269\) 8.42250 + 14.5882i 0.513529 + 0.889458i 0.999877 + 0.0156926i \(0.00499530\pi\)
−0.486348 + 0.873765i \(0.661671\pi\)
\(270\) 1.62859 18.1893i 0.0991131 1.10696i
\(271\) −15.8042 9.12454i −0.960034 0.554276i −0.0638508 0.997959i \(-0.520338\pi\)
−0.896184 + 0.443683i \(0.853672\pi\)
\(272\) 1.16389 0.0705713
\(273\) 1.66486 + 4.26945i 0.100762 + 0.258399i
\(274\) 1.24478 0.0751999
\(275\) 2.61247 + 1.50831i 0.157538 + 0.0909546i
\(276\) 2.37750 + 0.492592i 0.143108 + 0.0296506i
\(277\) −5.70905 9.88837i −0.343024 0.594135i 0.641969 0.766731i \(-0.278118\pi\)
−0.984993 + 0.172596i \(0.944784\pi\)
\(278\) 2.88218 4.99208i 0.172862 0.299405i
\(279\) 25.7675 2.97642i 1.54266 0.178194i
\(280\) 0.0514990 + 0.979849i 0.00307765 + 0.0585572i
\(281\) 8.63231i 0.514960i 0.966284 + 0.257480i \(0.0828922\pi\)
−0.966284 + 0.257480i \(0.917108\pi\)
\(282\) 12.0936 + 36.5795i 0.720165 + 2.17828i
\(283\) −19.5546 + 11.2898i −1.16240 + 0.671111i −0.951878 0.306478i \(-0.900849\pi\)
−0.210521 + 0.977589i \(0.567516\pi\)
\(284\) 3.48480 2.01195i 0.206785 0.119387i
\(285\) 2.89753 + 8.76414i 0.171635 + 0.519143i
\(286\) 3.06937i 0.181496i
\(287\) 4.70153 + 7.23734i 0.277522 + 0.427207i
\(288\) 24.0867 2.78227i 1.41932 0.163947i
\(289\) 8.45254 14.6402i 0.497208 0.861190i
\(290\) −9.96106 17.2531i −0.584933 1.01313i
\(291\) −30.9521 6.41295i −1.81444 0.375934i
\(292\) 1.67593 + 0.967598i 0.0980763 + 0.0566244i
\(293\) −5.10550 −0.298267 −0.149133 0.988817i \(-0.547648\pi\)
−0.149133 + 0.988817i \(0.547648\pi\)
\(294\) −10.1140 22.3879i −0.589862 1.30569i
\(295\) −18.3572 −1.06880
\(296\) −1.54202 0.890287i −0.0896283 0.0517469i
\(297\) −0.701958 + 7.83995i −0.0407317 + 0.454920i
\(298\) 4.50047 + 7.79505i 0.260705 + 0.451555i
\(299\) 0.332887 0.576577i 0.0192513 0.0333443i
\(300\) 5.42187 + 4.83164i 0.313032 + 0.278955i
\(301\) −6.74874 10.3887i −0.388991 0.598797i
\(302\) 15.3670i 0.884269i
\(303\) −4.87101 + 1.61042i −0.279832 + 0.0925160i
\(304\) −10.0522 + 5.80366i −0.576536 + 0.332863i
\(305\) 2.11796 1.22280i 0.121274 0.0700175i
\(306\) −0.744081 + 1.71857i −0.0425363 + 0.0982442i
\(307\) 15.6136i 0.891113i −0.895254 0.445557i \(-0.853006\pi\)
0.895254 0.445557i \(-0.146994\pi\)
\(308\) −0.442909 8.42704i −0.0252371 0.480175i
\(309\) 0.912058 1.02347i 0.0518851 0.0582234i
\(310\) 15.1938 26.3164i 0.862950 1.49467i
\(311\) 0.291458 + 0.504819i 0.0165270 + 0.0286257i 0.874171 0.485619i \(-0.161406\pi\)
−0.857644 + 0.514245i \(0.828072\pi\)
\(312\) −0.0751324 + 0.362627i −0.00425354 + 0.0205297i
\(313\) −9.80310 5.65983i −0.554104 0.319912i 0.196671 0.980469i \(-0.436987\pi\)
−0.750776 + 0.660557i \(0.770320\pi\)
\(314\) −35.5972 −2.00887
\(315\) 12.9038 + 4.79947i 0.727046 + 0.270420i
\(316\) 22.2154 1.24972
\(317\) −2.82566 1.63140i −0.158705 0.0916284i 0.418544 0.908196i \(-0.362541\pi\)
−0.577249 + 0.816568i \(0.695874\pi\)
\(318\) −6.77528 + 32.7009i −0.379939 + 1.83377i
\(319\) 4.29342 + 7.43642i 0.240385 + 0.416360i
\(320\) 7.64993 13.2501i 0.427644 0.740702i
\(321\) −17.9331 + 20.1238i −1.00093 + 1.12320i
\(322\) −1.61986 + 3.18034i −0.0902715 + 0.177233i
\(323\) 0.946590i 0.0526697i
\(324\) −5.48398 + 18.1388i −0.304666 + 1.00771i
\(325\) 1.72459 0.995693i 0.0956631 0.0552311i
\(326\) 16.7574 9.67492i 0.928109 0.535844i
\(327\) 28.1021 9.29090i 1.55405 0.513788i
\(328\) 0.697440i 0.0385097i
\(329\) −29.0047 + 1.52443i −1.59908 + 0.0840446i
\(330\) 6.88441 + 6.13496i 0.378974 + 0.337719i
\(331\) −13.5645 + 23.4944i −0.745571 + 1.29137i 0.204356 + 0.978897i \(0.434490\pi\)
−0.949928 + 0.312470i \(0.898844\pi\)
\(332\) 17.2067 + 29.8029i 0.944340 + 1.63564i
\(333\) −20.0601 + 14.8920i −1.09929 + 0.816078i
\(334\) 24.3745 + 14.0726i 1.33371 + 0.770021i
\(335\) −8.80652 −0.481152
\(336\) −2.61772 + 17.1131i −0.142808 + 0.933596i
\(337\) 13.1305 0.715264 0.357632 0.933863i \(-0.383584\pi\)
0.357632 + 0.933863i \(0.383584\pi\)
\(338\) 1.75475 + 1.01310i 0.0954457 + 0.0551056i
\(339\) 1.05475 + 0.218534i 0.0572864 + 0.0118691i
\(340\) 0.562580 + 0.974417i 0.0305102 + 0.0528452i
\(341\) −6.54884 + 11.3429i −0.354640 + 0.614254i
\(342\) −2.14309 18.5532i −0.115885 1.00324i
\(343\) 18.2909 2.90543i 0.987618 0.156879i
\(344\) 1.00113i 0.0539773i
\(345\) −0.627862 1.89909i −0.0338030 0.102243i
\(346\) 5.78757 3.34145i 0.311142 0.179638i
\(347\) −6.87379 + 3.96859i −0.369005 + 0.213045i −0.673023 0.739621i \(-0.735005\pi\)
0.304019 + 0.952666i \(0.401671\pi\)
\(348\) 6.48907 + 19.6274i 0.347851 + 1.05214i
\(349\) 25.5568i 1.36802i 0.729471 + 0.684012i \(0.239766\pi\)
−0.729471 + 0.684012i \(0.760234\pi\)
\(350\) −8.95237 + 5.81564i −0.478524 + 0.310859i
\(351\) 4.25038 + 2.98903i 0.226868 + 0.159543i
\(352\) −6.12166 + 10.6030i −0.326285 + 0.565143i
\(353\) 4.95484 + 8.58203i 0.263720 + 0.456776i 0.967227 0.253912i \(-0.0817173\pi\)
−0.703508 + 0.710688i \(0.748384\pi\)
\(354\) 36.3699 + 7.53546i 1.93304 + 0.400505i
\(355\) −2.87079 1.65745i −0.152366 0.0879684i
\(356\) −10.6751 −0.565781
\(357\) −1.10188 0.882673i −0.0583176 0.0467160i
\(358\) −37.9776 −2.00718
\(359\) 18.9483 + 10.9398i 1.00005 + 0.577380i 0.908264 0.418398i \(-0.137408\pi\)
0.0917884 + 0.995779i \(0.470742\pi\)
\(360\) 0.663176 + 0.893324i 0.0349525 + 0.0470823i
\(361\) −4.77989 8.27902i −0.251573 0.435738i
\(362\) 6.93708 12.0154i 0.364605 0.631514i
\(363\) 11.2568 + 10.0314i 0.590831 + 0.526512i
\(364\) −4.96390 2.52829i −0.260179 0.132519i
\(365\) 1.59422i 0.0834453i
\(366\) −4.69810 + 1.55325i −0.245574 + 0.0811898i
\(367\) 26.4845 15.2908i 1.38248 0.798174i 0.390026 0.920804i \(-0.372466\pi\)
0.992453 + 0.122630i \(0.0391327\pi\)
\(368\) 2.17820 1.25759i 0.113547 0.0655562i
\(369\) 8.98034 + 3.88817i 0.467498 + 0.202410i
\(370\) 29.2686i 1.52160i
\(371\) −22.4339 11.4264i −1.16471 0.593229i
\(372\) −20.9782 + 23.5409i −1.08767 + 1.22054i
\(373\) −11.0314 + 19.1070i −0.571185 + 0.989322i 0.425259 + 0.905072i \(0.360183\pi\)
−0.996445 + 0.0842506i \(0.973150\pi\)
\(374\) −0.472815 0.818939i −0.0244487 0.0423463i
\(375\) 4.26136 20.5674i 0.220055 1.06210i
\(376\) −2.03271 1.17358i −0.104829 0.0605230i
\(377\) 5.66850 0.291943
\(378\) −23.5952 14.8057i −1.21361 0.761524i
\(379\) −13.9388 −0.715989 −0.357994 0.933724i \(-0.616539\pi\)
−0.357994 + 0.933724i \(0.616539\pi\)
\(380\) −9.71772 5.61053i −0.498509 0.287814i
\(381\) −2.27355 + 10.9733i −0.116478 + 0.562179i
\(382\) −22.7098 39.3345i −1.16193 2.01253i
\(383\) 12.7668 22.1127i 0.652352 1.12991i −0.330199 0.943911i \(-0.607116\pi\)
0.982551 0.185995i \(-0.0595508\pi\)
\(384\) −1.96830 + 2.20874i −0.100444 + 0.112714i
\(385\) −5.82971 + 3.78710i −0.297109 + 0.193008i
\(386\) 55.0137i 2.80012i
\(387\) −12.8907 5.58122i −0.655271 0.283709i
\(388\) 33.2772 19.2126i 1.68939 0.975372i
\(389\) −2.85725 + 1.64963i −0.144868 + 0.0836397i −0.570682 0.821171i \(-0.693321\pi\)
0.425814 + 0.904811i \(0.359988\pi\)
\(390\) 5.77966 1.91083i 0.292665 0.0967586i
\(391\) 0.205115i 0.0103731i
\(392\) 1.36745 + 0.608338i 0.0690668 + 0.0307257i
\(393\) −11.2876 10.0588i −0.569386 0.507401i
\(394\) 25.4322 44.0498i 1.28125 2.21920i
\(395\) −9.15057 15.8493i −0.460415 0.797462i
\(396\) −5.70355 7.68289i −0.286614 0.386080i
\(397\) 23.3342 + 13.4720i 1.17111 + 0.676141i 0.953941 0.299993i \(-0.0969845\pi\)
0.217169 + 0.976134i \(0.430318\pi\)
\(398\) −40.4023 −2.02518
\(399\) 13.9180 + 2.12898i 0.696774 + 0.106582i
\(400\) 7.52310 0.376155
\(401\) −13.0389 7.52803i −0.651133 0.375932i 0.137757 0.990466i \(-0.456011\pi\)
−0.788890 + 0.614534i \(0.789344\pi\)
\(402\) 17.4477 + 3.61499i 0.870214 + 0.180299i
\(403\) 4.32314 + 7.48790i 0.215351 + 0.372999i
\(404\) 3.11827 5.40100i 0.155140 0.268710i
\(405\) 15.1997 3.55895i 0.755280 0.176845i
\(406\) −30.3461 + 1.59493i −1.50605 + 0.0791551i
\(407\) 12.6154i 0.625320i
\(408\) −0.0358139 0.108326i −0.00177305 0.00536293i
\(409\) 12.6854 7.32389i 0.627250 0.362143i −0.152436 0.988313i \(-0.548712\pi\)
0.779686 + 0.626170i \(0.215378\pi\)
\(410\) 9.92839 5.73216i 0.490328 0.283091i
\(411\) 0.334013 + 1.01028i 0.0164756 + 0.0498336i
\(412\) 1.66649i 0.0821021i
\(413\) −12.7084 + 24.9510i −0.625341 + 1.22776i
\(414\) 0.464382 + 4.02026i 0.0228232 + 0.197585i
\(415\) 14.1749 24.5517i 0.695820 1.20519i
\(416\) 4.04114 + 6.99945i 0.198133 + 0.343176i
\(417\) 4.82504 + 0.999697i 0.236283 + 0.0489554i
\(418\) 8.16716 + 4.71531i 0.399469 + 0.230633i
\(419\) 9.87431 0.482392 0.241196 0.970476i \(-0.422460\pi\)
0.241196 + 0.970476i \(0.422460\pi\)
\(420\) −15.5925 + 6.08024i −0.760835 + 0.296685i
\(421\) −10.0942 −0.491962 −0.245981 0.969275i \(-0.579110\pi\)
−0.245981 + 0.969275i \(0.579110\pi\)
\(422\) −25.9905 15.0056i −1.26520 0.730462i
\(423\) −26.4434 + 19.6308i −1.28572 + 0.954482i
\(424\) −1.01727 1.76197i −0.0494032 0.0855688i
\(425\) −0.306759 + 0.531322i −0.0148800 + 0.0257729i
\(426\) 5.00732 + 4.46222i 0.242606 + 0.216195i
\(427\) −0.195791 3.72523i −0.00947499 0.180277i
\(428\) 32.7669i 1.58385i
\(429\) −2.49115 + 0.823607i −0.120274 + 0.0397641i
\(430\) −14.2516 + 8.22814i −0.687271 + 0.396796i
\(431\) 7.60119 4.38855i 0.366136 0.211389i −0.305633 0.952149i \(-0.598868\pi\)
0.671769 + 0.740761i \(0.265535\pi\)
\(432\) 8.25990 + 17.8078i 0.397404 + 0.856776i
\(433\) 0.754847i 0.0362756i −0.999835 0.0181378i \(-0.994226\pi\)
0.999835 0.0181378i \(-0.00577376\pi\)
\(434\) −25.2506 38.8697i −1.21207 1.86581i
\(435\) 11.3300 12.7141i 0.543233 0.609594i
\(436\) −17.9901 + 31.1597i −0.861568 + 1.49228i
\(437\) −1.02279 1.77153i −0.0489268 0.0847437i
\(438\) −0.654411 + 3.15851i −0.0312690 + 0.150920i
\(439\) −10.9688 6.33282i −0.523511 0.302249i 0.214859 0.976645i \(-0.431071\pi\)
−0.738370 + 0.674396i \(0.764404\pi\)
\(440\) −0.561791 −0.0267823
\(441\) 15.4565 14.2161i 0.736023 0.676956i
\(442\) −0.624246 −0.0296923
\(443\) 2.86799 + 1.65583i 0.136262 + 0.0786711i 0.566581 0.824006i \(-0.308266\pi\)
−0.430319 + 0.902677i \(0.641599\pi\)
\(444\) 6.16162 29.7391i 0.292418 1.41135i
\(445\) 4.39710 + 7.61600i 0.208443 + 0.361033i
\(446\) −11.3648 + 19.6845i −0.538140 + 0.932086i
\(447\) −5.11898 + 5.74431i −0.242119 + 0.271697i
\(448\) −12.7134 19.5705i −0.600653 0.924621i
\(449\) 33.2585i 1.56957i −0.619770 0.784783i \(-0.712774\pi\)
0.619770 0.784783i \(-0.287226\pi\)
\(450\) −4.80955 + 11.1084i −0.226724 + 0.523655i
\(451\) −4.27934 + 2.47068i −0.201506 + 0.116340i
\(452\) −1.13399 + 0.654708i −0.0533383 + 0.0307949i
\(453\) −12.4721 + 4.12343i −0.585990 + 0.193736i
\(454\) 10.3310i 0.484856i
\(455\) 0.240864 + 4.58282i 0.0112919 + 0.214846i
\(456\) 0.849475 + 0.757000i 0.0397803 + 0.0354498i
\(457\) −11.9750 + 20.7413i −0.560166 + 0.970236i 0.437315 + 0.899308i \(0.355929\pi\)
−0.997481 + 0.0709281i \(0.977404\pi\)
\(458\) −1.72719 2.99157i −0.0807061 0.139787i
\(459\) −1.59448 0.142763i −0.0744240 0.00666363i
\(460\) 2.10572 + 1.21574i 0.0981795 + 0.0566840i
\(461\) 18.7061 0.871229 0.435614 0.900133i \(-0.356531\pi\)
0.435614 + 0.900133i \(0.356531\pi\)
\(462\) 13.1045 5.11007i 0.609679 0.237742i
\(463\) 33.7450 1.56826 0.784132 0.620594i \(-0.213109\pi\)
0.784132 + 0.620594i \(0.213109\pi\)
\(464\) 18.5456 + 10.7073i 0.860957 + 0.497073i
\(465\) 25.4358 + 5.27004i 1.17956 + 0.244392i
\(466\) 22.1789 + 38.4149i 1.02742 + 1.77954i
\(467\) −5.53543 + 9.58765i −0.256149 + 0.443663i −0.965207 0.261487i \(-0.915787\pi\)
0.709058 + 0.705150i \(0.249121\pi\)
\(468\) −6.27484 + 0.724811i −0.290055 + 0.0335044i
\(469\) −6.09662 + 11.9697i −0.281516 + 0.552711i
\(470\) 38.5821i 1.77966i
\(471\) −9.55182 28.8913i −0.440125 1.33124i
\(472\) −1.95966 + 1.13141i −0.0902007 + 0.0520774i
\(473\) 6.14272 3.54650i 0.282442 0.163068i
\(474\) 11.6234 + 35.1572i 0.533881 + 1.61482i
\(475\) 6.11852i 0.280737i
\(476\) 1.71388 0.0900784i 0.0785557 0.00412874i
\(477\) −28.3586 + 3.27572i −1.29845 + 0.149985i
\(478\) 28.9050 50.0649i 1.32208 2.28992i
\(479\) 19.0267 + 32.9551i 0.869350 + 1.50576i 0.862662 + 0.505781i \(0.168796\pi\)
0.00668789 + 0.999978i \(0.497871\pi\)
\(480\) 23.7766 + 4.92627i 1.08525 + 0.224852i
\(481\) −7.21215 4.16394i −0.328846 0.189859i
\(482\) −31.3756 −1.42912
\(483\) −3.01588 0.461326i −0.137227 0.0209910i
\(484\) −18.3291 −0.833143
\(485\) −27.4139 15.8274i −1.24480 0.718685i
\(486\) −31.5750 + 0.811756i −1.43227 + 0.0368220i
\(487\) 5.60423 + 9.70682i 0.253952 + 0.439858i 0.964610 0.263679i \(-0.0849361\pi\)
−0.710658 + 0.703537i \(0.751603\pi\)
\(488\) 0.150730 0.261072i 0.00682322 0.0118182i
\(489\) 12.3489 + 11.0045i 0.558435 + 0.497643i
\(490\) −2.57891 24.4662i −0.116503 1.10527i
\(491\) 12.2082i 0.550949i −0.961308 0.275474i \(-0.911165\pi\)
0.961308 0.275474i \(-0.0888350\pi\)
\(492\) −11.2947 + 3.73418i −0.509206 + 0.168350i
\(493\) −1.51241 + 0.873191i −0.0681156 + 0.0393266i
\(494\) 5.39145 3.11276i 0.242573 0.140049i
\(495\) −3.13194 + 7.23370i −0.140770 + 0.325131i
\(496\) 32.6641i 1.46666i
\(497\) −4.24019 + 2.75452i −0.190199 + 0.123557i
\(498\) −38.1620 + 42.8238i −1.71008 + 1.91898i
\(499\) −4.97317 + 8.61379i −0.222630 + 0.385606i −0.955606 0.294648i \(-0.904797\pi\)
0.732976 + 0.680255i \(0.238131\pi\)
\(500\) 12.7666 + 22.1125i 0.570941 + 0.988899i
\(501\) −4.88116 + 23.5589i −0.218074 + 1.05253i
\(502\) 24.1875 + 13.9646i 1.07954 + 0.623273i
\(503\) −0.925067 −0.0412467 −0.0206233 0.999787i \(-0.506565\pi\)
−0.0206233 + 0.999787i \(0.506565\pi\)
\(504\) 1.67330 0.282948i 0.0745348 0.0126035i
\(505\) −5.13768 −0.228624
\(506\) −1.76973 1.02175i −0.0786740 0.0454225i
\(507\) −0.351400 + 1.69603i −0.0156062 + 0.0753233i
\(508\) −6.81135 11.7976i −0.302205 0.523434i
\(509\) 16.6659 28.8661i 0.738701 1.27947i −0.214379 0.976750i \(-0.568773\pi\)
0.953080 0.302717i \(-0.0978938\pi\)
\(510\) −1.24772 + 1.40014i −0.0552501 + 0.0619994i
\(511\) −2.16685 1.10365i −0.0958557 0.0488228i
\(512\) 32.1489i 1.42079i
\(513\) 14.4830 6.71775i 0.639440 0.296596i
\(514\) 45.6985 26.3841i 2.01568 1.16375i
\(515\) 1.18893 0.686430i 0.0523906 0.0302477i
\(516\) 16.2129 5.36017i 0.713731 0.235968i
\(517\) 16.6297i 0.731372i
\(518\) 39.7815 + 20.2622i 1.74790 + 0.890269i
\(519\) 4.26496 + 3.80067i 0.187211 + 0.166831i
\(520\) −0.185430 + 0.321174i −0.00813163 + 0.0140844i
\(521\) 2.76659 + 4.79188i 0.121207 + 0.209936i 0.920244 0.391346i \(-0.127990\pi\)
−0.799037 + 0.601282i \(0.794657\pi\)
\(522\) −27.6664 + 20.5387i −1.21092 + 0.898953i
\(523\) −17.3718 10.0296i −0.759615 0.438564i 0.0695426 0.997579i \(-0.477846\pi\)
−0.829157 + 0.559015i \(0.811179\pi\)
\(524\) 18.3793 0.802903
\(525\) −7.12227 5.70538i −0.310841 0.249003i
\(526\) −11.3700 −0.495757
\(527\) −2.30691 1.33190i −0.100491 0.0580183i
\(528\) −9.70600 2.01098i −0.422400 0.0875168i
\(529\) −11.2784 19.5347i −0.490364 0.849335i
\(530\) −16.7216 + 28.9627i −0.726342 + 1.25806i
\(531\) 3.64325 + 31.5404i 0.158104 + 1.36874i
\(532\) −14.3532 + 9.32414i −0.622290 + 0.404253i
\(533\) 3.26198i 0.141292i
\(534\) −5.58537 16.8940i −0.241703 0.731075i
\(535\) −23.3770 + 13.4967i −1.01068 + 0.583514i
\(536\) −0.940109 + 0.542772i −0.0406065 + 0.0234442i
\(537\) −10.1905 30.8232i −0.439755 1.33012i
\(538\) 34.1315i 1.47151i
\(539\) 1.11157 + 10.5454i 0.0478785 + 0.454224i
\(540\) −10.9162 + 15.5228i −0.469760 + 0.667995i
\(541\) −4.91499 + 8.51301i −0.211312 + 0.366003i −0.952125 0.305708i \(-0.901107\pi\)
0.740814 + 0.671711i \(0.234440\pi\)
\(542\) 18.4882 + 32.0225i 0.794137 + 1.37549i
\(543\) 11.6133 + 2.40615i 0.498375 + 0.103258i
\(544\) −2.15643 1.24502i −0.0924562 0.0533796i
\(545\) 29.6406 1.26966
\(546\) 1.40399 9.17849i 0.0600854 0.392803i
\(547\) −14.4504 −0.617855 −0.308927 0.951086i \(-0.599970\pi\)
−0.308927 + 0.951086i \(0.599970\pi\)
\(548\) −1.12021 0.646752i −0.0478529 0.0276279i
\(549\) −2.52129 3.39627i −0.107606 0.144949i
\(550\) −3.05615 5.29341i −0.130315 0.225712i
\(551\) 8.70821 15.0831i 0.370982 0.642560i
\(552\) −0.184071 0.164033i −0.00783460 0.00698171i
\(553\) −27.8769 + 1.46516i −1.18545 + 0.0623049i
\(554\) 23.1355i 0.982932i
\(555\) −23.7549 + 7.85366i −1.00834 + 0.333369i
\(556\) −5.18749 + 2.99500i −0.219999 + 0.127016i
\(557\) 30.5192 17.6202i 1.29314 0.746594i 0.313929 0.949446i \(-0.398355\pi\)
0.979209 + 0.202853i \(0.0650212\pi\)
\(558\) −48.2309 20.8823i −2.04178 0.884018i
\(559\) 4.68236i 0.198043i
\(560\) −7.86851 + 15.4485i −0.332505 + 0.652820i
\(561\) 0.537794 0.603491i 0.0227057 0.0254794i
\(562\) 8.74543 15.1475i 0.368904 0.638960i
\(563\) 4.58013 + 7.93301i 0.193029 + 0.334337i 0.946253 0.323428i \(-0.104835\pi\)
−0.753223 + 0.657765i \(0.771502\pi\)
\(564\) 8.12230 39.2023i 0.342011 1.65071i
\(565\) 0.934182 + 0.539350i 0.0393013 + 0.0226906i
\(566\) 45.7511 1.92306
\(567\) 5.68526 23.1231i 0.238758 0.971079i
\(568\) −0.408614 −0.0171451
\(569\) 9.10695 + 5.25790i 0.381783 + 0.220423i 0.678594 0.734514i \(-0.262590\pi\)
−0.296811 + 0.954936i \(0.595923\pi\)
\(570\) 3.79454 18.3144i 0.158936 0.767104i
\(571\) −0.111559 0.193226i −0.00466860 0.00808626i 0.863682 0.504038i \(-0.168153\pi\)
−0.868350 + 0.495951i \(0.834819\pi\)
\(572\) 1.59476 2.76220i 0.0666802 0.115494i
\(573\) 25.8308 28.9863i 1.07910 1.21092i
\(574\) −0.917814 17.4628i −0.0383088 0.728885i
\(575\) 1.32581i 0.0552902i
\(576\) −24.2838 10.5140i −1.01182 0.438085i
\(577\) −16.4780 + 9.51360i −0.685990 + 0.396056i −0.802108 0.597179i \(-0.796288\pi\)
0.116118 + 0.993235i \(0.462955\pi\)
\(578\) −29.6642 + 17.1266i −1.23387 + 0.712373i
\(579\) 44.6500 14.7619i 1.85559 0.613482i
\(580\) 20.7019i 0.859601i
\(581\) −23.5573 36.2632i −0.977322 1.50445i
\(582\) 47.8161 + 42.6108i 1.98204 + 1.76627i
\(583\) 7.20737 12.4835i 0.298499 0.517015i
\(584\) −0.0982565 0.170185i −0.00406588 0.00704232i
\(585\) 3.10172 + 4.17814i 0.128240 + 0.172745i
\(586\) 8.95887 + 5.17241i 0.370088 + 0.213670i
\(587\) −41.7175 −1.72187 −0.860933 0.508719i \(-0.830119\pi\)
−0.860933 + 0.508719i \(0.830119\pi\)
\(588\) −2.53025 + 25.4024i −0.104346 + 1.04758i
\(589\) 26.5656 1.09462
\(590\) 32.2123 + 18.5978i 1.32616 + 0.765659i
\(591\) 42.5758 + 8.82126i 1.75133 + 0.362858i
\(592\) −15.7306 27.2462i −0.646524 1.11981i
\(593\) −4.99906 + 8.65863i −0.205287 + 0.355567i −0.950224 0.311567i \(-0.899146\pi\)
0.744937 + 0.667135i \(0.232479\pi\)
\(594\) 9.17445 13.0460i 0.376432 0.535283i
\(595\) −0.770216 1.18564i −0.0315758 0.0486065i
\(596\) 9.35328i 0.383125i
\(597\) −10.8412 32.7912i −0.443700 1.34205i
\(598\) −1.16826 + 0.674498i −0.0477739 + 0.0275823i
\(599\) 10.5605 6.09713i 0.431492 0.249122i −0.268490 0.963282i \(-0.586525\pi\)
0.699982 + 0.714160i \(0.253191\pi\)
\(600\) −0.231492 0.700192i −0.00945063 0.0285852i
\(601\) 32.9933i 1.34583i 0.739721 + 0.672913i \(0.234957\pi\)
−0.739721 + 0.672913i \(0.765043\pi\)
\(602\) 1.31746 + 25.0668i 0.0536958 + 1.02165i
\(603\) 1.74778 + 15.1309i 0.0711751 + 0.616177i
\(604\) 7.98424 13.8291i 0.324874 0.562698i
\(605\) 7.54980 + 13.0766i 0.306943 + 0.531641i
\(606\) 10.1789 + 2.10896i 0.413490 + 0.0856708i
\(607\) −4.25454 2.45636i −0.172686 0.0997005i 0.411166 0.911561i \(-0.365122\pi\)
−0.583852 + 0.811860i \(0.698455\pi\)
\(608\) 24.8327 1.00710
\(609\) −9.43725 24.2014i −0.382417 0.980690i
\(610\) −4.95531 −0.200635
\(611\) −9.50711 5.48893i −0.384617 0.222059i
\(612\) 1.56254 1.15998i 0.0631619 0.0468894i
\(613\) 5.01356 + 8.68375i 0.202496 + 0.350733i 0.949332 0.314275i \(-0.101761\pi\)
−0.746836 + 0.665008i \(0.768428\pi\)
\(614\) −15.8182 + 27.3979i −0.638369 + 1.10569i
\(615\) 7.31641 + 6.51993i 0.295026 + 0.262909i
\(616\) −0.388919 + 0.763580i −0.0156700 + 0.0307655i
\(617\) 6.31225i 0.254121i −0.991895 0.127061i \(-0.959446\pi\)
0.991895 0.127061i \(-0.0405543\pi\)
\(618\) −2.63732 + 0.871931i −0.106088 + 0.0350742i
\(619\) −9.25734 + 5.34473i −0.372084 + 0.214823i −0.674368 0.738395i \(-0.735584\pi\)
0.302285 + 0.953218i \(0.402251\pi\)
\(620\) −27.3466 + 15.7885i −1.09826 + 0.634083i
\(621\) −3.13830 + 1.45566i −0.125936 + 0.0584136i
\(622\) 1.18111i 0.0473581i
\(623\) 13.3956 0.704049i 0.536685 0.0282071i
\(624\) −4.35332 + 4.88512i −0.174272 + 0.195561i
\(625\) 5.53872 9.59335i 0.221549 0.383734i
\(626\) 11.4680 + 19.8631i 0.458353 + 0.793891i
\(627\) −1.63553 + 7.89387i −0.0653166 + 0.315251i
\(628\) 32.0348 + 18.4953i 1.27833 + 0.738043i
\(629\) 2.56570 0.102301
\(630\) −17.7805 21.4948i −0.708393 0.856371i
\(631\) 38.8140 1.54516 0.772581 0.634917i \(-0.218966\pi\)
0.772581 + 0.634917i \(0.218966\pi\)
\(632\) −1.95367 1.12795i −0.0777129 0.0448676i
\(633\) 5.20476 25.1208i 0.206871 0.998461i
\(634\) 3.30555 + 5.72538i 0.131280 + 0.227384i
\(635\) −5.61121 + 9.71891i −0.222674 + 0.385683i
\(636\) 23.0877 25.9081i 0.915486 1.02732i
\(637\) 6.39567 + 2.84524i 0.253406 + 0.112732i
\(638\) 17.3987i 0.688823i
\(639\) −2.27799 + 5.26138i −0.0901160 + 0.208137i
\(640\) −2.56581 + 1.48137i −0.101423 + 0.0585564i
\(641\) 22.6684 13.0876i 0.895348 0.516929i 0.0196597 0.999807i \(-0.493742\pi\)
0.875688 + 0.482878i \(0.160408\pi\)
\(642\) 51.8555 17.1441i 2.04657 0.676623i
\(643\) 9.82923i 0.387627i 0.981038 + 0.193813i \(0.0620857\pi\)
−0.981038 + 0.193813i \(0.937914\pi\)
\(644\) 3.11017 2.02043i 0.122558 0.0796162i
\(645\) −10.5022 9.35894i −0.413525 0.368508i
\(646\) −0.958995 + 1.66103i −0.0377311 + 0.0653523i
\(647\) −11.2028 19.4039i −0.440429 0.762846i 0.557292 0.830317i \(-0.311840\pi\)
−0.997721 + 0.0674709i \(0.978507\pi\)
\(648\) 1.40324 1.31673i 0.0551246 0.0517259i
\(649\) −13.8842 8.01603i −0.545002 0.314657i
\(650\) −4.03497 −0.158264
\(651\) 24.7718 30.9237i 0.970884 1.21200i
\(652\) −20.1073 −0.787461
\(653\) 10.3585 + 5.98047i 0.405358 + 0.234034i 0.688793 0.724958i \(-0.258141\pi\)
−0.283435 + 0.958991i \(0.591474\pi\)
\(654\) −58.7247 12.1671i −2.29632 0.475773i
\(655\) −7.57045 13.1124i −0.295802 0.512344i
\(656\) −6.16158 + 10.6722i −0.240569 + 0.416678i
\(657\) −2.73910 + 0.316396i −0.106863 + 0.0123438i
\(658\) 52.4403 + 26.7098i 2.04434 + 1.04126i
\(659\) 23.0438i 0.897658i 0.893618 + 0.448829i \(0.148159\pi\)
−0.893618 + 0.448829i \(0.851841\pi\)
\(660\) −3.00790 9.09795i −0.117082 0.354137i
\(661\) −19.5238 + 11.2721i −0.759389 + 0.438433i −0.829076 0.559135i \(-0.811133\pi\)
0.0696874 + 0.997569i \(0.477800\pi\)
\(662\) 47.6045 27.4845i 1.85020 1.06821i
\(663\) −0.167504 0.506648i −0.00650533 0.0196766i
\(664\) 3.49457i 0.135616i
\(665\) 12.5643 + 6.39944i 0.487221 + 0.248160i
\(666\) 50.2877 5.80876i 1.94861 0.225085i
\(667\) −1.88697 + 3.26832i −0.0730637 + 0.126550i
\(668\) −14.6235 25.3286i −0.565800 0.979994i
\(669\) −19.0258 3.94194i −0.735579 0.152404i
\(670\) 15.4532 + 8.92193i 0.597010 + 0.344684i
\(671\) 2.13584 0.0824532
\(672\) 23.1559 28.9066i 0.893259 1.11509i
\(673\) 30.1670 1.16285 0.581426 0.813599i \(-0.302495\pi\)
0.581426 + 0.813599i \(0.302495\pi\)
\(674\) −23.0407 13.3026i −0.887495 0.512396i
\(675\) −10.3063 0.922787i −0.396690 0.0355181i
\(676\) −1.05276 1.82344i −0.0404908 0.0701321i
\(677\) 17.6192 30.5174i 0.677161 1.17288i −0.298671 0.954356i \(-0.596543\pi\)
0.975832 0.218521i \(-0.0701234\pi\)
\(678\) −1.62943 1.45205i −0.0625779 0.0557656i
\(679\) −40.4906 + 26.3036i −1.55389 + 1.00944i
\(680\) 0.114256i 0.00438153i
\(681\) 8.38478 2.77211i 0.321306 0.106228i
\(682\) 22.9831 13.2693i 0.880070 0.508109i
\(683\) −43.9919 + 25.3987i −1.68330 + 0.971855i −0.723860 + 0.689947i \(0.757634\pi\)
−0.959442 + 0.281907i \(0.909033\pi\)
\(684\) −7.71108 + 17.8099i −0.294841 + 0.680980i
\(685\) 1.06559i 0.0407142i
\(686\) −35.0395 13.4323i −1.33781 0.512849i
\(687\) 1.96455 2.20454i 0.0749524 0.0841086i
\(688\) 8.84455 15.3192i 0.337195 0.584040i
\(689\) −4.75786 8.24085i −0.181260 0.313951i
\(690\) −0.822233 + 3.96851i −0.0313019 + 0.151079i
\(691\) −4.24768 2.45240i −0.161589 0.0932936i 0.417025 0.908895i \(-0.363073\pi\)
−0.578614 + 0.815602i \(0.696406\pi\)
\(692\) −6.94450 −0.263990
\(693\) 7.66377 + 9.26468i 0.291123 + 0.351936i
\(694\) 16.0824 0.610478
\(695\) 4.27347 + 2.46729i 0.162102 + 0.0935896i
\(696\) 0.425888 2.05555i 0.0161432 0.0779154i
\(697\) −0.502484 0.870327i −0.0190329 0.0329660i
\(698\) 25.8917 44.8457i 0.980015 1.69744i
\(699\) −25.2269 + 28.3087i −0.954170 + 1.07073i
\(700\) 11.0781 0.582244i 0.418713 0.0220068i
\(701\) 37.5392i 1.41784i −0.705290 0.708919i \(-0.749183\pi\)
0.705290 0.708919i \(-0.250817\pi\)
\(702\) −4.43014 9.55107i −0.167205 0.360482i
\(703\) −22.1593 + 12.7937i −0.835753 + 0.482522i
\(704\) 11.5718 6.68098i 0.436128 0.251799i
\(705\) −31.3138 + 10.3528i −1.17935 + 0.389907i
\(706\) 20.0791i 0.755686i
\(707\) −3.55673 + 6.98307i −0.133765 + 0.262625i
\(708\) −28.8149 25.6781i −1.08293 0.965043i
\(709\) 6.99663 12.1185i 0.262764 0.455121i −0.704211 0.709990i \(-0.748699\pi\)
0.966975 + 0.254870i \(0.0820326\pi\)
\(710\) 3.35834 + 5.81682i 0.126036 + 0.218301i
\(711\) −25.4153 + 18.8675i −0.953147 + 0.707587i
\(712\) 0.938793 + 0.542013i 0.0351828 + 0.0203128i
\(713\) −5.75646 −0.215581
\(714\) 1.03928 + 2.66519i 0.0388941 + 0.0997422i
\(715\) −2.62754 −0.0982642
\(716\) 34.1769 + 19.7321i 1.27725 + 0.737422i
\(717\) 48.3896 + 10.0258i 1.80714 + 0.374421i
\(718\) −22.1663 38.3932i −0.827239 1.43282i
\(719\) −19.1963 + 33.2489i −0.715900 + 1.23997i 0.246712 + 0.969089i \(0.420650\pi\)
−0.962611 + 0.270886i \(0.912683\pi\)
\(720\) 2.25574 + 19.5284i 0.0840666 + 0.727782i
\(721\) −0.109909 2.09119i −0.00409322 0.0778799i
\(722\) 19.3701i 0.720882i
\(723\) −8.41904 25.4650i −0.313107 0.947052i
\(724\) −12.4857 + 7.20862i −0.464027 + 0.267906i
\(725\) −9.77585 + 5.64409i −0.363066 + 0.209616i
\(726\) −9.59006 29.0069i −0.355920 1.07655i
\(727\) 22.6831i 0.841270i 0.907230 + 0.420635i \(0.138193\pi\)
−0.907230 + 0.420635i \(0.861807\pi\)
\(728\) 0.308166 + 0.474378i 0.0114214 + 0.0175816i
\(729\) −9.13139 25.4090i −0.338200 0.941074i
\(730\) −1.61511 + 2.79746i −0.0597780 + 0.103538i
\(731\) 0.721283 + 1.24930i 0.0266776 + 0.0462070i
\(732\) 5.03497 + 1.04319i 0.186098 + 0.0385575i
\(733\) 23.3264 + 13.4675i 0.861580 + 0.497433i 0.864541 0.502562i \(-0.167609\pi\)
−0.00296118 + 0.999996i \(0.500943\pi\)
\(734\) −61.9648 −2.28716
\(735\) 19.1652 8.65812i 0.706917 0.319359i
\(736\) −5.38096 −0.198345
\(737\) −6.66066 3.84553i −0.245349 0.141652i
\(738\) −11.8191 15.9208i −0.435067 0.586052i
\(739\) −2.77822 4.81202i −0.102198 0.177013i 0.810392 0.585888i \(-0.199254\pi\)
−0.912590 + 0.408876i \(0.865921\pi\)
\(740\) 15.2071 26.3395i 0.559025 0.968260i
\(741\) 3.97306 + 3.54054i 0.145954 + 0.130065i
\(742\) 27.7897 + 42.7783i 1.02019 + 1.57044i
\(743\) 15.4885i 0.568219i −0.958792 0.284109i \(-0.908302\pi\)
0.958792 0.284109i \(-0.0916978\pi\)
\(744\) 3.04012 1.00510i 0.111456 0.0368488i
\(745\) −6.67295 + 3.85263i −0.244478 + 0.141149i
\(746\) 38.7147 22.3520i 1.41745 0.818364i
\(747\) −44.9966 19.4819i −1.64634 0.712807i
\(748\) 0.982644i 0.0359290i
\(749\) 2.16105 + 41.1174i 0.0789631 + 1.50240i
\(750\) −28.3146 + 31.7735i −1.03390 + 1.16020i
\(751\) −23.6375 + 40.9413i −0.862544 + 1.49397i 0.00692172 + 0.999976i \(0.497797\pi\)
−0.869466 + 0.493994i \(0.835537\pi\)
\(752\) −20.7362 35.9162i −0.756172 1.30973i
\(753\) −4.84370 + 23.3781i −0.176514 + 0.851946i
\(754\) −9.94679 5.74278i −0.362241 0.209140i
\(755\) −13.1549 −0.478755
\(756\) 13.5413 + 25.5834i 0.492491 + 0.930461i
\(757\) 12.1688 0.442282 0.221141 0.975242i \(-0.429022\pi\)
0.221141 + 0.975242i \(0.429022\pi\)
\(758\) 24.4591 + 14.1215i 0.888395 + 0.512915i
\(759\) 0.354400 1.71051i 0.0128639 0.0620875i
\(760\) 0.569731 + 0.986804i 0.0206663 + 0.0357951i
\(761\) −9.44864 + 16.3655i −0.342513 + 0.593250i −0.984899 0.173132i \(-0.944611\pi\)
0.642386 + 0.766381i \(0.277945\pi\)
\(762\) 15.1066 16.9520i 0.547255 0.614107i
\(763\) 20.5197 40.2871i 0.742863 1.45849i
\(764\) 47.1974i 1.70754i
\(765\) −1.47118 0.636970i −0.0531907 0.0230297i
\(766\) −44.8049 + 25.8681i −1.61887 + 0.934654i
\(767\) −9.16547 + 5.29169i −0.330946 + 0.191072i
\(768\) −23.3199 + 7.70986i −0.841485 + 0.278206i
\(769\) 39.7848i 1.43468i −0.696726 0.717338i \(-0.745360\pi\)
0.696726 0.717338i \(-0.254640\pi\)
\(770\) 14.0664 0.739303i 0.506918 0.0266426i
\(771\) 33.6761 + 30.0101i 1.21281 + 1.08079i
\(772\) −28.5836 + 49.5082i −1.02874 + 1.78184i
\(773\) −11.1042 19.2331i −0.399392 0.691767i 0.594259 0.804274i \(-0.297445\pi\)
−0.993651 + 0.112506i \(0.964112\pi\)
\(774\) 16.9656 + 22.8533i 0.609815 + 0.821444i
\(775\) −14.9113 8.60904i −0.535630 0.309246i