Properties

Label 819.2.fy.a.50.6
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.6
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.663488 - 2.47617i) q^{2} +(-0.692898 - 1.58742i) q^{3} +(-3.95915 + 2.28582i) q^{4} +(-0.816615 - 3.04765i) q^{5} +(-3.47098 + 2.76896i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(4.66155 + 4.66155i) q^{8} +(-2.03979 + 2.19984i) q^{9} +O(q^{10})\) \(q+(-0.663488 - 2.47617i) q^{2} +(-0.692898 - 1.58742i) q^{3} +(-3.95915 + 2.28582i) q^{4} +(-0.816615 - 3.04765i) q^{5} +(-3.47098 + 2.76896i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(4.66155 + 4.66155i) q^{8} +(-2.03979 + 2.19984i) q^{9} +(-7.00468 + 4.04416i) q^{10} +(0.561751 - 0.150521i) q^{11} +(6.37183 + 4.70098i) q^{12} +(3.52364 + 0.764181i) q^{13} +(2.22007 + 1.28176i) q^{14} +(-4.27206 + 3.40802i) q^{15} +(3.87827 - 6.71736i) q^{16} +(-2.47344 + 4.28413i) q^{17} +(6.80054 + 3.59129i) q^{18} +(-6.25464 + 1.67592i) q^{19} +(10.1995 + 10.1995i) q^{20} +(1.61243 + 0.632521i) q^{21} +(-0.745430 - 1.29112i) q^{22} +6.69818 q^{23} +(4.16984 - 10.6298i) q^{24} +(-4.29119 + 2.47752i) q^{25} +(-0.445650 - 9.23215i) q^{26} +(4.90542 + 1.71373i) q^{27} +(1.18323 - 4.41586i) q^{28} +(-1.72023 - 0.993175i) q^{29} +(11.2733 + 8.31717i) q^{30} +(-6.40609 + 1.71651i) q^{31} +(-6.47093 - 1.73388i) q^{32} +(-0.628175 - 0.787438i) q^{33} +(12.2493 + 3.28219i) q^{34} +(2.73245 + 1.57758i) q^{35} +(3.04740 - 13.3720i) q^{36} +(-8.31622 - 2.22833i) q^{37} +(8.29975 + 14.3756i) q^{38} +(-1.22845 - 6.12298i) q^{39} +(10.4001 - 18.0135i) q^{40} +(-1.75242 + 1.75242i) q^{41} +(0.496404 - 4.41231i) q^{42} -1.53970i q^{43} +(-1.87999 + 1.87999i) q^{44} +(8.37005 + 4.42013i) q^{45} +(-4.44416 - 16.5858i) q^{46} +(-1.97692 + 7.37798i) q^{47} +(-13.3505 - 1.50199i) q^{48} -1.00000i q^{49} +(8.98190 + 8.98190i) q^{50} +(8.51454 + 0.957921i) q^{51} +(-15.6974 + 5.02888i) q^{52} -13.7627i q^{53} +(0.988799 - 13.2837i) q^{54} +(-0.917469 - 1.58910i) q^{55} -6.59242 q^{56} +(6.99421 + 8.76747i) q^{57} +(-1.31792 + 4.91854i) q^{58} +(-0.728588 + 2.71913i) q^{59} +(9.12362 - 23.2580i) q^{60} +3.69471 q^{61} +(8.50072 + 14.7237i) q^{62} +(-0.113172 - 2.99786i) q^{63} +1.66044i q^{64} +(-0.548502 - 11.3629i) q^{65} +(-1.53304 + 2.07792i) q^{66} +(-0.933331 - 0.933331i) q^{67} -22.6153i q^{68} +(-4.64115 - 10.6328i) q^{69} +(2.09341 - 7.81271i) q^{70} +(0.126849 + 0.473407i) q^{71} +(-19.7632 + 0.746080i) q^{72} +(-10.4071 + 10.4071i) q^{73} +22.0708i q^{74} +(6.90621 + 5.09523i) q^{75} +(20.9322 - 20.9322i) q^{76} +(-0.290784 + 0.503652i) q^{77} +(-14.3465 + 7.10437i) q^{78} +(4.07484 + 7.05783i) q^{79} +(-23.6392 - 6.33411i) q^{80} +(-0.678551 - 8.97438i) q^{81} +(5.50200 + 3.17658i) q^{82} +(-13.8670 - 3.71566i) q^{83} +(-7.82966 + 1.18147i) q^{84} +(15.0764 + 4.03970i) q^{85} +(-3.81257 + 1.02157i) q^{86} +(-0.384640 + 3.41889i) q^{87} +(3.32029 + 1.91697i) q^{88} +(-1.71262 + 6.39158i) q^{89} +(5.39157 - 23.6584i) q^{90} +(-3.03195 + 1.95123i) q^{91} +(-26.5191 + 15.3108i) q^{92} +(7.16357 + 8.97977i) q^{93} +19.5808 q^{94} +(10.2153 + 17.6934i) q^{95} +(1.73130 + 11.4735i) q^{96} +(11.6425 + 11.6425i) q^{97} +(-2.47617 + 0.663488i) q^{98} +(-0.814731 + 1.54279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.663488 2.47617i −0.469157 1.75092i −0.642728 0.766095i \(-0.722197\pi\)
0.173571 0.984821i \(-0.444469\pi\)
\(3\) −0.692898 1.58742i −0.400045 0.916496i
\(4\) −3.95915 + 2.28582i −1.97957 + 1.14291i
\(5\) −0.816615 3.04765i −0.365202 1.36295i −0.867147 0.498052i \(-0.834049\pi\)
0.501946 0.864899i \(-0.332618\pi\)
\(6\) −3.47098 + 2.76896i −1.41702 + 1.13042i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) 4.66155 + 4.66155i 1.64811 + 1.64811i
\(9\) −2.03979 + 2.19984i −0.679928 + 0.733278i
\(10\) −7.00468 + 4.04416i −2.21508 + 1.27887i
\(11\) 0.561751 0.150521i 0.169374 0.0453837i −0.173135 0.984898i \(-0.555390\pi\)
0.342510 + 0.939514i \(0.388723\pi\)
\(12\) 6.37183 + 4.70098i 1.83939 + 1.35706i
\(13\) 3.52364 + 0.764181i 0.977281 + 0.211946i
\(14\) 2.22007 + 1.28176i 0.593339 + 0.342565i
\(15\) −4.27206 + 3.40802i −1.10304 + 0.879947i
\(16\) 3.87827 6.71736i 0.969568 1.67934i
\(17\) −2.47344 + 4.28413i −0.599898 + 1.03905i 0.392938 + 0.919565i \(0.371459\pi\)
−0.992836 + 0.119488i \(0.961875\pi\)
\(18\) 6.80054 + 3.59129i 1.60290 + 0.846475i
\(19\) −6.25464 + 1.67592i −1.43491 + 0.384483i −0.890749 0.454496i \(-0.849819\pi\)
−0.544163 + 0.838980i \(0.683153\pi\)
\(20\) 10.1995 + 10.1995i 2.28067 + 2.28067i
\(21\) 1.61243 + 0.632521i 0.351860 + 0.138027i
\(22\) −0.745430 1.29112i −0.158926 0.275268i
\(23\) 6.69818 1.39667 0.698333 0.715773i \(-0.253925\pi\)
0.698333 + 0.715773i \(0.253925\pi\)
\(24\) 4.16984 10.6298i 0.851166 2.16980i
\(25\) −4.29119 + 2.47752i −0.858237 + 0.495503i
\(26\) −0.445650 9.23215i −0.0873991 1.81057i
\(27\) 4.90542 + 1.71373i 0.944048 + 0.329807i
\(28\) 1.18323 4.41586i 0.223609 0.834518i
\(29\) −1.72023 0.993175i −0.319439 0.184428i 0.331704 0.943384i \(-0.392377\pi\)
−0.651142 + 0.758956i \(0.725710\pi\)
\(30\) 11.2733 + 8.31717i 2.05821 + 1.51850i
\(31\) −6.40609 + 1.71651i −1.15057 + 0.308294i −0.783192 0.621779i \(-0.786410\pi\)
−0.367375 + 0.930073i \(0.619743\pi\)
\(32\) −6.47093 1.73388i −1.14391 0.306510i
\(33\) −0.628175 0.787438i −0.109351 0.137075i
\(34\) 12.2493 + 3.28219i 2.10074 + 0.562892i
\(35\) 2.73245 + 1.57758i 0.461868 + 0.266660i
\(36\) 3.04740 13.3720i 0.507899 2.22867i
\(37\) −8.31622 2.22833i −1.36718 0.366334i −0.500731 0.865603i \(-0.666936\pi\)
−0.866447 + 0.499268i \(0.833602\pi\)
\(38\) 8.29975 + 14.3756i 1.34640 + 2.33203i
\(39\) −1.22845 6.12298i −0.196709 0.980462i
\(40\) 10.4001 18.0135i 1.64440 2.84818i
\(41\) −1.75242 + 1.75242i −0.273682 + 0.273682i −0.830581 0.556899i \(-0.811991\pi\)
0.556899 + 0.830581i \(0.311991\pi\)
\(42\) 0.496404 4.41231i 0.0765967 0.680834i
\(43\) 1.53970i 0.234803i −0.993085 0.117401i \(-0.962544\pi\)
0.993085 0.117401i \(-0.0374564\pi\)
\(44\) −1.87999 + 1.87999i −0.283420 + 0.283420i
\(45\) 8.37005 + 4.42013i 1.24773 + 0.658915i
\(46\) −4.44416 16.5858i −0.655255 2.44545i
\(47\) −1.97692 + 7.37798i −0.288364 + 1.07619i 0.657982 + 0.753034i \(0.271410\pi\)
−0.946346 + 0.323155i \(0.895256\pi\)
\(48\) −13.3505 1.50199i −1.92698 0.216793i
\(49\) 1.00000i 0.142857i
\(50\) 8.98190 + 8.98190i 1.27023 + 1.27023i
\(51\) 8.51454 + 0.957921i 1.19227 + 0.134136i
\(52\) −15.6974 + 5.02888i −2.17684 + 0.697381i
\(53\) 13.7627i 1.89045i −0.326419 0.945225i \(-0.605842\pi\)
0.326419 0.945225i \(-0.394158\pi\)
\(54\) 0.988799 13.2837i 0.134558 1.80768i
\(55\) −0.917469 1.58910i −0.123712 0.214275i
\(56\) −6.59242 −0.880950
\(57\) 6.99421 + 8.76747i 0.926406 + 1.16128i
\(58\) −1.31792 + 4.91854i −0.173051 + 0.645836i
\(59\) −0.728588 + 2.71913i −0.0948541 + 0.354000i −0.996997 0.0774364i \(-0.975327\pi\)
0.902143 + 0.431437i \(0.141993\pi\)
\(60\) 9.12362 23.2580i 1.17785 3.00259i
\(61\) 3.69471 0.473059 0.236530 0.971624i \(-0.423990\pi\)
0.236530 + 0.971624i \(0.423990\pi\)
\(62\) 8.50072 + 14.7237i 1.07959 + 1.86991i
\(63\) −0.113172 2.99786i −0.0142584 0.377695i
\(64\) 1.66044i 0.207555i
\(65\) −0.548502 11.3629i −0.0680334 1.40939i
\(66\) −1.53304 + 2.07792i −0.188704 + 0.255775i
\(67\) −0.933331 0.933331i −0.114025 0.114025i 0.647792 0.761817i \(-0.275692\pi\)
−0.761817 + 0.647792i \(0.775692\pi\)
\(68\) 22.6153i 2.74251i
\(69\) −4.64115 10.6328i −0.558729 1.28004i
\(70\) 2.09341 7.81271i 0.250210 0.933797i
\(71\) 0.126849 + 0.473407i 0.0150542 + 0.0561830i 0.973044 0.230618i \(-0.0740748\pi\)
−0.957990 + 0.286801i \(0.907408\pi\)
\(72\) −19.7632 + 0.746080i −2.32911 + 0.0879264i
\(73\) −10.4071 + 10.4071i −1.21806 + 1.21806i −0.249747 + 0.968311i \(0.580348\pi\)
−0.968311 + 0.249747i \(0.919652\pi\)
\(74\) 22.0708i 2.56568i
\(75\) 6.90621 + 5.09523i 0.797460 + 0.588347i
\(76\) 20.9322 20.9322i 2.40108 2.40108i
\(77\) −0.290784 + 0.503652i −0.0331379 + 0.0573965i
\(78\) −14.3465 + 7.10437i −1.62442 + 0.804411i
\(79\) 4.07484 + 7.05783i 0.458455 + 0.794068i 0.998880 0.0473247i \(-0.0150696\pi\)
−0.540424 + 0.841393i \(0.681736\pi\)
\(80\) −23.6392 6.33411i −2.64295 0.708175i
\(81\) −0.678551 8.97438i −0.0753946 0.997154i
\(82\) 5.50200 + 3.17658i 0.607594 + 0.350794i
\(83\) −13.8670 3.71566i −1.52210 0.407847i −0.601670 0.798745i \(-0.705498\pi\)
−0.920434 + 0.390898i \(0.872164\pi\)
\(84\) −7.82966 + 1.18147i −0.854286 + 0.128908i
\(85\) 15.0764 + 4.03970i 1.63526 + 0.438167i
\(86\) −3.81257 + 1.02157i −0.411120 + 0.110159i
\(87\) −0.384640 + 3.41889i −0.0412377 + 0.366544i
\(88\) 3.32029 + 1.91697i 0.353944 + 0.204350i
\(89\) −1.71262 + 6.39158i −0.181537 + 0.677506i 0.813808 + 0.581134i \(0.197391\pi\)
−0.995345 + 0.0963723i \(0.969276\pi\)
\(90\) 5.39157 23.6584i 0.568322 2.49381i
\(91\) −3.03195 + 1.95123i −0.317834 + 0.204545i
\(92\) −26.5191 + 15.3108i −2.76480 + 1.59626i
\(93\) 7.16357 + 8.97977i 0.742828 + 0.931159i
\(94\) 19.5808 2.01960
\(95\) 10.2153 + 17.6934i 1.04806 + 1.81530i
\(96\) 1.73130 + 11.4735i 0.176700 + 1.17101i
\(97\) 11.6425 + 11.6425i 1.18212 + 1.18212i 0.979194 + 0.202925i \(0.0650448\pi\)
0.202925 + 0.979194i \(0.434955\pi\)
\(98\) −2.47617 + 0.663488i −0.250131 + 0.0670224i
\(99\) −0.814731 + 1.54279i −0.0818835 + 0.155056i
\(100\) 11.3263 19.6177i 1.13263 1.96177i
\(101\) 7.69689 13.3314i 0.765869 1.32652i −0.173916 0.984760i \(-0.555642\pi\)
0.939786 0.341764i \(-0.111024\pi\)
\(102\) −3.27731 21.7190i −0.324502 2.15050i
\(103\) 3.65202 + 2.10849i 0.359844 + 0.207756i 0.669012 0.743251i \(-0.266717\pi\)
−0.309168 + 0.951007i \(0.600051\pi\)
\(104\) 12.8633 + 19.9879i 1.26135 + 1.95997i
\(105\) 0.610970 5.43064i 0.0596245 0.529976i
\(106\) −34.0787 + 9.13137i −3.31002 + 0.886917i
\(107\) −7.58667 + 4.38017i −0.733432 + 0.423447i −0.819676 0.572827i \(-0.805847\pi\)
0.0862447 + 0.996274i \(0.472513\pi\)
\(108\) −23.3385 + 4.42797i −2.24575 + 0.426082i
\(109\) −8.43495 8.43495i −0.807922 0.807922i 0.176397 0.984319i \(-0.443556\pi\)
−0.984319 + 0.176397i \(0.943556\pi\)
\(110\) −3.32616 + 3.32616i −0.317137 + 0.317137i
\(111\) 2.22501 + 14.7453i 0.211189 + 1.39956i
\(112\) 2.00754 + 7.49225i 0.189695 + 0.707951i
\(113\) 3.20375 1.84968i 0.301383 0.174004i −0.341681 0.939816i \(-0.610996\pi\)
0.643064 + 0.765812i \(0.277663\pi\)
\(114\) 17.0692 23.1360i 1.59867 2.16688i
\(115\) −5.46984 20.4137i −0.510065 1.90359i
\(116\) 9.08086 0.843137
\(117\) −8.86854 + 6.19266i −0.819897 + 0.572512i
\(118\) 7.21643 0.664326
\(119\) −1.28035 4.77832i −0.117369 0.438028i
\(120\) −35.8011 4.02777i −3.26817 0.367684i
\(121\) −9.23337 + 5.33089i −0.839397 + 0.484626i
\(122\) −2.45140 9.14873i −0.221939 0.828287i
\(123\) 3.99607 + 1.56757i 0.360313 + 0.141343i
\(124\) 21.4390 21.4390i 1.92528 1.92528i
\(125\) −0.100320 0.100320i −0.00897290 0.00897290i
\(126\) −7.34813 + 2.26928i −0.654624 + 0.202164i
\(127\) 1.85353 1.07013i 0.164474 0.0949590i −0.415504 0.909591i \(-0.636395\pi\)
0.579978 + 0.814632i \(0.303061\pi\)
\(128\) −8.83032 + 2.36608i −0.780498 + 0.209134i
\(129\) −2.44415 + 1.06686i −0.215196 + 0.0939316i
\(130\) −27.7724 + 8.89730i −2.43580 + 0.780345i
\(131\) 4.04928 + 2.33785i 0.353787 + 0.204259i 0.666352 0.745637i \(-0.267855\pi\)
−0.312565 + 0.949896i \(0.601188\pi\)
\(132\) 4.28698 + 1.68169i 0.373133 + 0.146372i
\(133\) 3.23764 5.60775i 0.280739 0.486254i
\(134\) −1.69183 + 2.93034i −0.146152 + 0.253143i
\(135\) 1.21701 16.3495i 0.104743 1.40714i
\(136\) −31.5007 + 8.44059i −2.70116 + 0.723775i
\(137\) −2.87167 2.87167i −0.245343 0.245343i 0.573713 0.819056i \(-0.305502\pi\)
−0.819056 + 0.573713i \(0.805502\pi\)
\(138\) −23.2493 + 18.5470i −1.97911 + 1.57883i
\(139\) −7.34950 12.7297i −0.623376 1.07972i −0.988852 0.148898i \(-0.952427\pi\)
0.365476 0.930821i \(-0.380906\pi\)
\(140\) −14.4242 −1.21907
\(141\) 13.0817 1.97398i 1.10168 0.166239i
\(142\) 1.08807 0.628199i 0.0913090 0.0527173i
\(143\) 2.09443 0.101101i 0.175145 0.00845453i
\(144\) 6.86625 + 22.2335i 0.572188 + 1.85280i
\(145\) −1.62208 + 6.05370i −0.134707 + 0.502732i
\(146\) 32.6747 + 18.8648i 2.70418 + 1.56126i
\(147\) −1.58742 + 0.692898i −0.130928 + 0.0571492i
\(148\) 38.0187 10.1871i 3.12512 0.837373i
\(149\) 9.00455 + 2.41276i 0.737681 + 0.197661i 0.608047 0.793901i \(-0.291953\pi\)
0.129634 + 0.991562i \(0.458620\pi\)
\(150\) 8.03448 20.4816i 0.656013 1.67231i
\(151\) 5.87788 + 1.57497i 0.478335 + 0.128170i 0.489927 0.871763i \(-0.337023\pi\)
−0.0115922 + 0.999933i \(0.503690\pi\)
\(152\) −36.9687 21.3439i −2.99856 1.73122i
\(153\) −4.37908 14.1799i −0.354028 1.14637i
\(154\) 1.44006 + 0.385863i 0.116043 + 0.0310937i
\(155\) 10.4626 + 18.1218i 0.840378 + 1.45558i
\(156\) 18.8596 + 21.4338i 1.50998 + 1.71608i
\(157\) −5.89575 + 10.2117i −0.470532 + 0.814986i −0.999432 0.0336983i \(-0.989271\pi\)
0.528900 + 0.848684i \(0.322605\pi\)
\(158\) 14.7728 14.7728i 1.17526 1.17526i
\(159\) −21.8471 + 9.53614i −1.73259 + 0.756265i
\(160\) 21.1371i 1.67103i
\(161\) −4.73633 + 4.73633i −0.373275 + 0.373275i
\(162\) −21.7719 + 7.63460i −1.71056 + 0.599831i
\(163\) 6.22894 + 23.2467i 0.487888 + 1.82082i 0.566686 + 0.823934i \(0.308225\pi\)
−0.0787977 + 0.996891i \(0.525108\pi\)
\(164\) 2.93238 10.9438i 0.228980 0.854567i
\(165\) −1.88686 + 2.55749i −0.146892 + 0.199100i
\(166\) 36.8024i 2.85642i
\(167\) 9.84716 + 9.84716i 0.761996 + 0.761996i 0.976683 0.214687i \(-0.0688731\pi\)
−0.214687 + 0.976683i \(0.568873\pi\)
\(168\) 4.56788 + 10.4649i 0.352419 + 0.807387i
\(169\) 11.8321 + 5.38539i 0.910158 + 0.414261i
\(170\) 40.0119i 3.06877i
\(171\) 9.07136 17.1777i 0.693704 1.31361i
\(172\) 3.51948 + 6.09592i 0.268358 + 0.464809i
\(173\) −5.83462 −0.443598 −0.221799 0.975092i \(-0.571193\pi\)
−0.221799 + 0.975092i \(0.571193\pi\)
\(174\) 8.72096 1.31596i 0.661134 0.0997625i
\(175\) 1.28246 4.78620i 0.0969447 0.361802i
\(176\) 1.16752 4.35725i 0.0880052 0.328440i
\(177\) 4.82123 0.727504i 0.362386 0.0546826i
\(178\) 16.9629 1.27143
\(179\) 3.74123 + 6.47999i 0.279632 + 0.484337i 0.971293 0.237885i \(-0.0764541\pi\)
−0.691661 + 0.722222i \(0.743121\pi\)
\(180\) −43.2419 + 1.63242i −3.22306 + 0.121674i
\(181\) 9.28576i 0.690205i 0.938565 + 0.345102i \(0.112156\pi\)
−0.938565 + 0.345102i \(0.887844\pi\)
\(182\) 6.84324 + 6.21299i 0.507255 + 0.460538i
\(183\) −2.56006 5.86505i −0.189245 0.433557i
\(184\) 31.2239 + 31.2239i 2.30185 + 2.30185i
\(185\) 27.1646i 1.99718i
\(186\) 17.4825 23.6962i 1.28188 1.73749i
\(187\) −0.744608 + 2.77892i −0.0544511 + 0.203214i
\(188\) −9.03777 33.7294i −0.659147 2.45997i
\(189\) −4.68044 + 2.25687i −0.340452 + 0.164163i
\(190\) 37.0340 37.0340i 2.68673 2.68673i
\(191\) 4.18824i 0.303050i 0.988453 + 0.151525i \(0.0484185\pi\)
−0.988453 + 0.151525i \(0.951582\pi\)
\(192\) 2.63582 1.15052i 0.190224 0.0830314i
\(193\) 4.80439 4.80439i 0.345827 0.345827i −0.512725 0.858553i \(-0.671364\pi\)
0.858553 + 0.512725i \(0.171364\pi\)
\(194\) 21.1042 36.5535i 1.51519 2.62439i
\(195\) −17.6575 + 8.74400i −1.26448 + 0.626171i
\(196\) 2.28582 + 3.95915i 0.163273 + 0.282796i
\(197\) −6.32730 1.69540i −0.450802 0.120792i 0.0262728 0.999655i \(-0.491636\pi\)
−0.477075 + 0.878863i \(0.658303\pi\)
\(198\) 4.36077 + 0.993789i 0.309907 + 0.0706255i
\(199\) 3.51632 + 2.03015i 0.249265 + 0.143913i 0.619428 0.785054i \(-0.287365\pi\)
−0.370163 + 0.928967i \(0.620698\pi\)
\(200\) −31.5526 8.45450i −2.23111 0.597824i
\(201\) −0.834882 + 2.12829i −0.0588881 + 0.150118i
\(202\) −38.1176 10.2136i −2.68195 0.718625i
\(203\) 1.91867 0.514105i 0.134664 0.0360831i
\(204\) −35.8999 + 15.6701i −2.51350 + 1.09713i
\(205\) 6.77181 + 3.90971i 0.472964 + 0.273066i
\(206\) 2.79792 10.4420i 0.194940 0.727526i
\(207\) −13.6628 + 14.7349i −0.949633 + 1.02415i
\(208\) 18.7989 20.7059i 1.30347 1.43569i
\(209\) −3.26129 + 1.88290i −0.225588 + 0.130243i
\(210\) −13.8525 + 2.09030i −0.955917 + 0.144244i
\(211\) 5.76369 0.396789 0.198394 0.980122i \(-0.436427\pi\)
0.198394 + 0.980122i \(0.436427\pi\)
\(212\) 31.4590 + 54.4885i 2.16061 + 3.74229i
\(213\) 0.663600 0.529384i 0.0454691 0.0362728i
\(214\) 15.8797 + 15.8797i 1.08551 + 1.08551i
\(215\) −4.69248 + 1.25735i −0.320024 + 0.0857503i
\(216\) 14.8782 + 30.8555i 1.01233 + 2.09945i
\(217\) 3.31604 5.74354i 0.225107 0.389897i
\(218\) −15.2899 + 26.4829i −1.03556 + 1.79365i
\(219\) 23.7315 + 9.30935i 1.60362 + 0.629067i
\(220\) 7.26479 + 4.19433i 0.489792 + 0.282782i
\(221\) −11.9894 + 13.2056i −0.806491 + 0.888302i
\(222\) 35.0356 15.2928i 2.35144 1.02639i
\(223\) −24.7505 + 6.63188i −1.65742 + 0.444104i −0.961676 0.274189i \(-0.911591\pi\)
−0.695741 + 0.718292i \(0.744924\pi\)
\(224\) 5.80168 3.34960i 0.387641 0.223805i
\(225\) 3.30297 14.4935i 0.220198 0.966234i
\(226\) −6.70578 6.70578i −0.446062 0.446062i
\(227\) 4.22979 4.22979i 0.280741 0.280741i −0.552664 0.833404i \(-0.686389\pi\)
0.833404 + 0.552664i \(0.186389\pi\)
\(228\) −47.7319 18.7242i −3.16113 1.24004i
\(229\) −0.677413 2.52814i −0.0447647 0.167064i 0.939925 0.341381i \(-0.110895\pi\)
−0.984690 + 0.174317i \(0.944228\pi\)
\(230\) −46.9186 + 27.0885i −3.09372 + 1.78616i
\(231\) 1.00099 + 0.112616i 0.0658603 + 0.00740956i
\(232\) −3.38920 12.6487i −0.222512 0.830426i
\(233\) 5.04648 0.330606 0.165303 0.986243i \(-0.447140\pi\)
0.165303 + 0.986243i \(0.447140\pi\)
\(234\) 21.2182 + 17.8512i 1.38708 + 1.16697i
\(235\) 24.0999 1.57210
\(236\) −3.33084 12.4308i −0.216819 0.809179i
\(237\) 8.38027 11.3588i 0.544357 0.737835i
\(238\) −10.9824 + 6.34071i −0.711886 + 0.411007i
\(239\) −3.10979 11.6059i −0.201155 0.750722i −0.990587 0.136884i \(-0.956291\pi\)
0.789432 0.613839i \(-0.210375\pi\)
\(240\) 6.32469 + 41.9142i 0.408257 + 2.70555i
\(241\) −11.5688 + 11.5688i −0.745214 + 0.745214i −0.973576 0.228362i \(-0.926663\pi\)
0.228362 + 0.973576i \(0.426663\pi\)
\(242\) 19.3264 + 19.3264i 1.24235 + 1.24235i
\(243\) −13.7759 + 7.29547i −0.883726 + 0.468005i
\(244\) −14.6279 + 8.44543i −0.936456 + 0.540663i
\(245\) −3.04765 + 0.816615i −0.194707 + 0.0521716i
\(246\) 1.23023 10.9350i 0.0784369 0.697190i
\(247\) −23.3198 + 1.12568i −1.48380 + 0.0716254i
\(248\) −37.8639 21.8607i −2.40436 1.38816i
\(249\) 3.71013 + 24.5873i 0.235120 + 1.55816i
\(250\) −0.181848 + 0.314971i −0.0115011 + 0.0199205i
\(251\) −5.51066 + 9.54475i −0.347830 + 0.602459i −0.985864 0.167549i \(-0.946415\pi\)
0.638034 + 0.770008i \(0.279748\pi\)
\(252\) 7.30063 + 11.6103i 0.459897 + 0.731380i
\(253\) 3.76271 1.00821i 0.236559 0.0633859i
\(254\) −3.87962 3.87962i −0.243429 0.243429i
\(255\) −4.03369 26.7316i −0.252600 1.67400i
\(256\) 13.3781 + 23.1715i 0.836129 + 1.44822i
\(257\) −9.84904 −0.614366 −0.307183 0.951650i \(-0.599386\pi\)
−0.307183 + 0.951650i \(0.599386\pi\)
\(258\) 4.26338 + 5.34429i 0.265427 + 0.332721i
\(259\) 7.45612 4.30479i 0.463301 0.267487i
\(260\) 28.1450 + 43.7335i 1.74548 + 2.71223i
\(261\) 5.69372 1.75836i 0.352432 0.108840i
\(262\) 3.10227 11.5778i 0.191659 0.715281i
\(263\) 10.4496 + 6.03306i 0.644348 + 0.372015i 0.786288 0.617861i \(-0.212000\pi\)
−0.141939 + 0.989875i \(0.545334\pi\)
\(264\) 0.742409 6.59895i 0.0456921 0.406137i
\(265\) −41.9439 + 11.2388i −2.57659 + 0.690395i
\(266\) −16.0339 4.29626i −0.983100 0.263421i
\(267\) 11.3328 1.71007i 0.693554 0.104655i
\(268\) 5.82862 + 1.56177i 0.356039 + 0.0954005i
\(269\) −3.48831 2.01397i −0.212686 0.122794i 0.389873 0.920869i \(-0.372519\pi\)
−0.602559 + 0.798074i \(0.705852\pi\)
\(270\) −41.2915 + 7.83415i −2.51292 + 0.476771i
\(271\) −23.2195 6.22164i −1.41048 0.377938i −0.528385 0.849005i \(-0.677202\pi\)
−0.882097 + 0.471067i \(0.843869\pi\)
\(272\) 19.1854 + 33.2300i 1.16328 + 2.01487i
\(273\) 5.19825 + 3.46096i 0.314612 + 0.209467i
\(274\) −5.20542 + 9.01606i −0.314471 + 0.544680i
\(275\) −2.03766 + 2.03766i −0.122876 + 0.122876i
\(276\) 42.6796 + 31.4880i 2.56901 + 1.89536i
\(277\) 24.3826i 1.46501i −0.680764 0.732503i \(-0.738352\pi\)
0.680764 0.732503i \(-0.261648\pi\)
\(278\) −26.6446 + 26.6446i −1.59804 + 1.59804i
\(279\) 9.29101 17.5936i 0.556238 1.05330i
\(280\) 5.38348 + 20.0914i 0.321724 + 1.20069i
\(281\) 2.59978 9.70250i 0.155090 0.578803i −0.844008 0.536331i \(-0.819810\pi\)
0.999098 0.0424720i \(-0.0135233\pi\)
\(282\) −13.5675 31.0829i −0.807932 1.85096i
\(283\) 5.14094i 0.305597i −0.988257 0.152799i \(-0.951171\pi\)
0.988257 0.152799i \(-0.0488286\pi\)
\(284\) −1.58433 1.58433i −0.0940129 0.0940129i
\(285\) 21.0086 28.4756i 1.24444 1.68675i
\(286\) −1.63997 5.11909i −0.0969737 0.302698i
\(287\) 2.47830i 0.146289i
\(288\) 17.0136 10.6982i 1.00253 0.630400i
\(289\) −3.73582 6.47063i −0.219754 0.380625i
\(290\) 16.0662 0.943441
\(291\) 10.4145 26.5486i 0.610507 1.55631i
\(292\) 17.4145 64.9919i 1.01911 3.80337i
\(293\) 7.40343 27.6300i 0.432513 1.61416i −0.314436 0.949279i \(-0.601815\pi\)
0.746949 0.664881i \(-0.231518\pi\)
\(294\) 2.76896 + 3.47098i 0.161489 + 0.202432i
\(295\) 8.88193 0.517126
\(296\) −28.3790 49.1539i −1.64950 2.85701i
\(297\) 3.01358 + 0.224322i 0.174865 + 0.0130165i
\(298\) 23.8976i 1.38435i
\(299\) 23.6020 + 5.11862i 1.36494 + 0.296017i
\(300\) −38.9895 4.38648i −2.25106 0.253253i
\(301\) 1.08874 + 1.08874i 0.0627537 + 0.0627537i
\(302\) 15.5996i 0.897656i
\(303\) −26.4957 2.98087i −1.52214 0.171247i
\(304\) −12.9994 + 48.5144i −0.745566 + 2.78249i
\(305\) −3.01716 11.2602i −0.172762 0.644757i
\(306\) −32.2063 + 20.2515i −1.84111 + 1.15770i
\(307\) −16.6477 + 16.6477i −0.950135 + 0.950135i −0.998814 0.0486798i \(-0.984499\pi\)
0.0486798 + 0.998814i \(0.484499\pi\)
\(308\) 2.65871i 0.151494i
\(309\) 0.816583 7.25824i 0.0464538 0.412907i
\(310\) 37.9308 37.9308i 2.15433 2.15433i
\(311\) 9.13366 15.8200i 0.517922 0.897068i −0.481861 0.876248i \(-0.660039\pi\)
0.999783 0.0208201i \(-0.00662772\pi\)
\(312\) 22.8161 34.2690i 1.29171 1.94010i
\(313\) −5.88760 10.1976i −0.332787 0.576403i 0.650271 0.759703i \(-0.274656\pi\)
−0.983057 + 0.183299i \(0.941322\pi\)
\(314\) 29.1978 + 7.82352i 1.64773 + 0.441507i
\(315\) −9.04403 + 2.79301i −0.509573 + 0.157368i
\(316\) −32.2658 18.6287i −1.81509 1.04794i
\(317\) −25.8520 6.92701i −1.45199 0.389060i −0.555275 0.831667i \(-0.687387\pi\)
−0.896716 + 0.442607i \(0.854054\pi\)
\(318\) 38.1084 + 47.7701i 2.13701 + 2.67881i
\(319\) −1.11583 0.298987i −0.0624747 0.0167400i
\(320\) 5.06045 1.35594i 0.282888 0.0757996i
\(321\) 12.2099 + 9.00821i 0.681493 + 0.502789i
\(322\) 14.8704 + 8.58545i 0.828697 + 0.478449i
\(323\) 8.29060 30.9409i 0.461301 1.72160i
\(324\) 23.2003 + 33.9799i 1.28890 + 1.88777i
\(325\) −17.0139 + 5.45063i −0.943759 + 0.302347i
\(326\) 53.4300 30.8478i 2.95921 1.70850i
\(327\) −7.54523 + 19.2343i −0.417252 + 1.06366i
\(328\) −16.3380 −0.902114
\(329\) −3.81912 6.61492i −0.210555 0.364692i
\(330\) 7.58469 + 2.97531i 0.417523 + 0.163786i
\(331\) −1.91630 1.91630i −0.105329 0.105329i 0.652478 0.757808i \(-0.273729\pi\)
−0.757808 + 0.652478i \(0.773729\pi\)
\(332\) 63.3949 16.9866i 3.47925 0.932262i
\(333\) 21.8653 13.7490i 1.19821 0.753442i
\(334\) 17.8498 30.9167i 0.976696 1.69169i
\(335\) −2.08229 + 3.60664i −0.113768 + 0.197052i
\(336\) 10.5023 8.37817i 0.572947 0.457066i
\(337\) −12.0716 6.96956i −0.657583 0.379656i 0.133772 0.991012i \(-0.457291\pi\)
−0.791356 + 0.611356i \(0.790624\pi\)
\(338\) 5.48472 32.8713i 0.298329 1.78796i
\(339\) −5.15609 3.80404i −0.280040 0.206607i
\(340\) −68.9236 + 18.4680i −3.73791 + 1.00157i
\(341\) −3.34026 + 1.92850i −0.180885 + 0.104434i
\(342\) −48.5536 11.0650i −2.62548 0.598328i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) 7.17740 7.17740i 0.386980 0.386980i
\(345\) −28.6150 + 22.8275i −1.54058 + 1.22899i
\(346\) 3.87120 + 14.4475i 0.208117 + 0.776703i
\(347\) −21.1623 + 12.2180i −1.13605 + 0.655899i −0.945450 0.325769i \(-0.894377\pi\)
−0.190601 + 0.981668i \(0.561044\pi\)
\(348\) −6.29211 14.4151i −0.337292 0.772731i
\(349\) 7.35327 + 27.4428i 0.393611 + 1.46898i 0.824132 + 0.566397i \(0.191663\pi\)
−0.430521 + 0.902581i \(0.641670\pi\)
\(350\) −12.7023 −0.678968
\(351\) 15.9753 + 9.78719i 0.852700 + 0.522401i
\(352\) −3.89604 −0.207659
\(353\) −7.19266 26.8434i −0.382827 1.42873i −0.841564 0.540157i \(-0.818365\pi\)
0.458737 0.888572i \(-0.348302\pi\)
\(354\) −5.00025 11.4555i −0.265760 0.608852i
\(355\) 1.33919 0.773182i 0.0710769 0.0410363i
\(356\) −7.82946 29.2199i −0.414960 1.54865i
\(357\) −6.69804 + 5.34333i −0.354498 + 0.282799i
\(358\) 13.5633 13.5633i 0.716843 0.716843i
\(359\) 4.48701 + 4.48701i 0.236815 + 0.236815i 0.815530 0.578715i \(-0.196445\pi\)
−0.578715 + 0.815530i \(0.696445\pi\)
\(360\) 18.4127 + 59.6220i 0.970436 + 3.14236i
\(361\) 19.8573 11.4646i 1.04512 0.603400i
\(362\) 22.9931 6.16098i 1.20849 0.323814i
\(363\) 14.8601 + 10.9634i 0.779954 + 0.575432i
\(364\) 7.54377 14.6557i 0.395401 0.768166i
\(365\) 40.2158 + 23.2186i 2.10499 + 1.21532i
\(366\) −12.8243 + 10.2305i −0.670336 + 0.534758i
\(367\) −14.6249 + 25.3311i −0.763415 + 1.32227i 0.177665 + 0.984091i \(0.443146\pi\)
−0.941080 + 0.338183i \(0.890188\pi\)
\(368\) 25.9774 44.9941i 1.35416 2.34548i
\(369\) −0.280475 7.42959i −0.0146009 0.386769i
\(370\) 67.2642 18.0234i 3.49690 0.936992i
\(371\) 9.73169 + 9.73169i 0.505244 + 0.505244i
\(372\) −48.8877 19.1776i −2.53471 0.994314i
\(373\) −10.1585 17.5950i −0.525985 0.911033i −0.999542 0.0302694i \(-0.990363\pi\)
0.473557 0.880763i \(-0.342970\pi\)
\(374\) 7.37510 0.381358
\(375\) −0.0897382 + 0.228761i −0.00463406 + 0.0118132i
\(376\) −43.6083 + 25.1773i −2.24893 + 1.29842i
\(377\) −5.30250 4.81416i −0.273093 0.247942i
\(378\) 8.69380 + 10.0922i 0.447161 + 0.519085i
\(379\) −3.94229 + 14.7128i −0.202502 + 0.755748i 0.787694 + 0.616066i \(0.211275\pi\)
−0.990196 + 0.139682i \(0.955392\pi\)
\(380\) −80.8875 46.7004i −4.14944 2.39568i
\(381\) −2.98305 2.20083i −0.152826 0.112752i
\(382\) 10.3708 2.77885i 0.530616 0.142178i
\(383\) 10.1934 + 2.73133i 0.520861 + 0.139564i 0.509665 0.860373i \(-0.329769\pi\)
0.0111960 + 0.999937i \(0.496436\pi\)
\(384\) 9.87447 + 12.3780i 0.503904 + 0.631660i
\(385\) 1.77241 + 0.474917i 0.0903306 + 0.0242040i
\(386\) −15.0841 8.70882i −0.767762 0.443267i
\(387\) 3.38710 + 3.14067i 0.172176 + 0.159649i
\(388\) −72.7071 19.4818i −3.69115 0.989040i
\(389\) −4.94787 8.56996i −0.250867 0.434514i 0.712898 0.701268i \(-0.247382\pi\)
−0.963765 + 0.266754i \(0.914049\pi\)
\(390\) 33.3672 + 37.9215i 1.68961 + 1.92023i
\(391\) −16.5675 + 28.6958i −0.837857 + 1.45121i
\(392\) 4.66155 4.66155i 0.235444 0.235444i
\(393\) 0.905409 8.04778i 0.0456719 0.405957i
\(394\) 16.7923i 0.845986i
\(395\) 18.1822 18.1822i 0.914847 0.914847i
\(396\) −0.300893 7.97046i −0.0151204 0.400531i
\(397\) −8.57668 32.0086i −0.430451 1.60647i −0.751723 0.659479i \(-0.770777\pi\)
0.321271 0.946987i \(-0.395890\pi\)
\(398\) 2.69395 10.0540i 0.135036 0.503960i
\(399\) −11.1452 1.25388i −0.557958 0.0627726i
\(400\) 38.4339i 1.92170i
\(401\) −14.8359 14.8359i −0.740870 0.740870i 0.231875 0.972746i \(-0.425514\pi\)
−0.972746 + 0.231875i \(0.925514\pi\)
\(402\) 5.82394 + 0.655218i 0.290472 + 0.0326793i
\(403\) −23.8845 + 1.15294i −1.18977 + 0.0574320i
\(404\) 70.3747i 3.50127i
\(405\) −26.7967 + 9.39661i −1.33154 + 0.466921i
\(406\) −2.54602 4.40984i −0.126357 0.218857i
\(407\) −5.00706 −0.248191
\(408\) 35.2255 + 44.1563i 1.74392 + 2.18606i
\(409\) 8.21192 30.6473i 0.406053 1.51541i −0.396051 0.918229i \(-0.629620\pi\)
0.802104 0.597184i \(-0.203714\pi\)
\(410\) 5.18809 19.3622i 0.256221 0.956231i
\(411\) −2.56876 + 6.54831i −0.126708 + 0.323004i
\(412\) −19.2785 −0.949783
\(413\) −1.40752 2.43790i −0.0692597 0.119961i
\(414\) 45.5512 + 24.0551i 2.23872 + 1.18224i
\(415\) 45.2961i 2.22350i
\(416\) −21.4762 11.0545i −1.05296 0.541993i
\(417\) −15.1149 + 20.4871i −0.740179 + 1.00326i
\(418\) 6.82621 + 6.82621i 0.333881 + 0.333881i
\(419\) 18.3766i 0.897756i 0.893593 + 0.448878i \(0.148176\pi\)
−0.893593 + 0.448878i \(0.851824\pi\)
\(420\) 9.99451 + 22.8973i 0.487682 + 1.11727i
\(421\) −0.0726400 + 0.271096i −0.00354026 + 0.0132124i −0.967673 0.252207i \(-0.918844\pi\)
0.964133 + 0.265419i \(0.0855104\pi\)
\(422\) −3.82413 14.2719i −0.186156 0.694744i
\(423\) −12.1978 19.3984i −0.593079 0.943183i
\(424\) 64.1554 64.1554i 3.11566 3.11566i
\(425\) 24.5120i 1.18901i
\(426\) −1.75114 1.29195i −0.0848428 0.0625950i
\(427\) −2.61256 + 2.61256i −0.126430 + 0.126430i
\(428\) 20.0245 34.6835i 0.967921 1.67649i
\(429\) −1.61172 3.25468i −0.0778145 0.157138i
\(430\) 6.22680 + 10.7851i 0.300283 + 0.520106i
\(431\) −7.74972 2.07653i −0.373291 0.100023i 0.0672957 0.997733i \(-0.478563\pi\)
−0.440587 + 0.897710i \(0.645230\pi\)
\(432\) 30.5363 26.3052i 1.46918 1.26561i
\(433\) −19.1562 11.0598i −0.920586 0.531501i −0.0367643 0.999324i \(-0.511705\pi\)
−0.883822 + 0.467823i \(0.845038\pi\)
\(434\) −16.4221 4.40030i −0.788287 0.211221i
\(435\) 10.7337 1.61967i 0.514641 0.0776573i
\(436\) 52.6760 + 14.1145i 2.52272 + 0.675961i
\(437\) −41.8947 + 11.2256i −2.00409 + 0.536995i
\(438\) 7.30600 64.9397i 0.349094 3.10294i
\(439\) −22.4824 12.9802i −1.07303 0.619513i −0.144021 0.989575i \(-0.546003\pi\)
−0.929007 + 0.370062i \(0.879337\pi\)
\(440\) 3.13085 11.6845i 0.149258 0.557037i
\(441\) 2.19984 + 2.03979i 0.104754 + 0.0971326i
\(442\) 40.6540 + 20.9260i 1.93371 + 0.995346i
\(443\) −8.91991 + 5.14991i −0.423798 + 0.244680i −0.696701 0.717362i \(-0.745350\pi\)
0.272903 + 0.962042i \(0.412016\pi\)
\(444\) −42.5142 53.2929i −2.01764 2.52917i
\(445\) 20.8778 0.989705
\(446\) 32.8433 + 56.8863i 1.55518 + 2.69364i
\(447\) −2.40917 15.9658i −0.113950 0.755155i
\(448\) −1.17411 1.17411i −0.0554715 0.0554715i
\(449\) −27.0696 + 7.25329i −1.27750 + 0.342304i −0.832898 0.553426i \(-0.813320\pi\)
−0.444598 + 0.895730i \(0.646653\pi\)
\(450\) −38.0799 + 1.43755i −1.79510 + 0.0677669i
\(451\) −0.720648 + 1.24820i −0.0339340 + 0.0587754i
\(452\) −8.45607 + 14.6463i −0.397740 + 0.688906i
\(453\) −1.57263 10.4219i −0.0738886 0.489666i
\(454\) −13.2801 7.66726i −0.623265 0.359842i
\(455\) 8.42261 + 7.64691i 0.394858 + 0.358492i
\(456\) −8.26612 + 73.4738i −0.387096 + 3.44073i
\(457\) 6.44588 1.72717i 0.301526 0.0807935i −0.104884 0.994484i \(-0.533447\pi\)
0.406410 + 0.913691i \(0.366781\pi\)
\(458\) −5.81065 + 3.35478i −0.271514 + 0.156758i
\(459\) −19.4751 + 16.7766i −0.909020 + 0.783066i
\(460\) 68.3178 + 68.3178i 3.18534 + 3.18534i
\(461\) 11.9578 11.9578i 0.556931 0.556931i −0.371502 0.928432i \(-0.621157\pi\)
0.928432 + 0.371502i \(0.121157\pi\)
\(462\) −0.385289 2.55334i −0.0179253 0.118792i
\(463\) 8.87365 + 33.1169i 0.412394 + 1.53907i 0.789999 + 0.613108i \(0.210081\pi\)
−0.377606 + 0.925966i \(0.623253\pi\)
\(464\) −13.3430 + 7.70361i −0.619435 + 0.357631i
\(465\) 21.5173 29.1651i 0.997842 1.35250i
\(466\) −3.34828 12.4959i −0.155106 0.578863i
\(467\) −29.0738 −1.34538 −0.672688 0.739927i \(-0.734860\pi\)
−0.672688 + 0.739927i \(0.734860\pi\)
\(468\) 20.9566 44.7895i 0.968718 2.07040i
\(469\) 1.31993 0.0609487
\(470\) −15.9900 59.6754i −0.737563 2.75262i
\(471\) 20.2955 + 2.28332i 0.935165 + 0.105210i
\(472\) −16.0717 + 9.27900i −0.739760 + 0.427100i
\(473\) −0.231757 0.864930i −0.0106562 0.0397695i
\(474\) −33.6866 13.2145i −1.54728 0.606964i
\(475\) 22.6877 22.6877i 1.04098 1.04098i
\(476\) 15.9914 + 15.9914i 0.732967 + 0.732967i
\(477\) 30.2756 + 28.0729i 1.38623 + 1.28537i
\(478\) −26.6748 + 15.4007i −1.22008 + 0.704413i
\(479\) 41.0413 10.9970i 1.87523 0.502465i 0.875408 0.483386i \(-0.160593\pi\)
0.999818 0.0190795i \(-0.00607356\pi\)
\(480\) 33.5533 14.6458i 1.53149 0.668487i
\(481\) −27.6005 14.2069i −1.25848 0.647779i
\(482\) 36.3222 + 20.9706i 1.65443 + 0.955186i
\(483\) 10.8003 + 4.23674i 0.491431 + 0.192778i
\(484\) 24.3709 42.2116i 1.10777 1.91871i
\(485\) 25.9749 44.9898i 1.17946 2.04288i
\(486\) 27.2050 + 29.2711i 1.23404 + 1.32776i
\(487\) −4.56264 + 1.22256i −0.206753 + 0.0553993i −0.360709 0.932678i \(-0.617465\pi\)
0.153956 + 0.988078i \(0.450799\pi\)
\(488\) 17.2231 + 17.2231i 0.779652 + 0.779652i
\(489\) 32.5862 25.9955i 1.47360 1.17556i
\(490\) 4.04416 + 7.00468i 0.182696 + 0.316439i
\(491\) 6.31163 0.284840 0.142420 0.989806i \(-0.454512\pi\)
0.142420 + 0.989806i \(0.454512\pi\)
\(492\) −19.4042 + 2.92802i −0.874809 + 0.132005i
\(493\) 8.50977 4.91312i 0.383261 0.221276i
\(494\) 18.2598 + 56.9969i 0.821546 + 2.56441i
\(495\) 5.36721 + 1.22315i 0.241238 + 0.0549764i
\(496\) −13.3142 + 49.6891i −0.597823 + 2.23111i
\(497\) −0.424445 0.245053i −0.0190389 0.0109921i
\(498\) 58.4208 25.5003i 2.61790 1.14270i
\(499\) 22.3236 5.98159i 0.999341 0.267773i 0.278172 0.960531i \(-0.410272\pi\)
0.721169 + 0.692759i \(0.243605\pi\)
\(500\) 0.626495 + 0.167869i 0.0280177 + 0.00750732i
\(501\) 8.80848 22.4546i 0.393534 1.00320i
\(502\) 27.2907 + 7.31251i 1.21804 + 0.326373i
\(503\) 22.0338 + 12.7212i 0.982438 + 0.567211i 0.903005 0.429629i \(-0.141356\pi\)
0.0794327 + 0.996840i \(0.474689\pi\)
\(504\) 13.4471 14.5022i 0.598983 0.645981i
\(505\) −46.9149 12.5708i −2.08768 0.559393i
\(506\) −4.99302 8.64816i −0.221967 0.384458i
\(507\) 0.350458 22.5139i 0.0155644 0.999879i
\(508\) −4.89226 + 8.47364i −0.217059 + 0.375957i
\(509\) 2.19648 2.19648i 0.0973574 0.0973574i −0.656750 0.754108i \(-0.728070\pi\)
0.754108 + 0.656750i \(0.228070\pi\)
\(510\) −63.5156 + 27.7242i −2.81252 + 1.22765i
\(511\) 14.7179i 0.651080i
\(512\) 35.5719 35.5719i 1.57207 1.57207i
\(513\) −33.5537 2.49764i −1.48143 0.110273i
\(514\) 6.53471 + 24.3879i 0.288234 + 1.07570i
\(515\) 3.44365 12.8519i 0.151746 0.566322i
\(516\) 7.23812 9.81073i 0.318641 0.431893i
\(517\) 4.44216i 0.195366i
\(518\) −15.6064 15.6064i −0.685708 0.685708i
\(519\) 4.04280 + 9.26198i 0.177459 + 0.406556i
\(520\) 50.4116 55.5254i 2.21070 2.43495i
\(521\) 0.403015i 0.0176564i 0.999961 + 0.00882821i \(0.00281014\pi\)
−0.999961 + 0.00882821i \(0.997190\pi\)
\(522\) −8.13171 12.9320i −0.355915 0.566017i
\(523\) 8.22407 + 14.2445i 0.359613 + 0.622869i 0.987896 0.155116i \(-0.0495753\pi\)
−0.628283 + 0.777985i \(0.716242\pi\)
\(524\) −21.3756 −0.933796
\(525\) −8.48630 + 1.28055i −0.370372 + 0.0558878i
\(526\) 8.00572 29.8778i 0.349066 1.30273i
\(527\) 8.49135 31.6902i 0.369889 1.38045i
\(528\) −7.72574 + 1.16578i −0.336220 + 0.0507342i
\(529\) 21.8656 0.950677
\(530\) 55.6585 + 96.4033i 2.41765 + 4.18749i
\(531\) −4.49547 7.14921i −0.195087 0.310249i
\(532\) 29.6026i 1.28343i
\(533\) −7.51406 + 4.83573i −0.325470 + 0.209459i
\(534\) −11.7536 26.9272i −0.508627 1.16526i
\(535\) 19.5446 + 19.5446i 0.844988 + 0.844988i
\(536\) 8.70153i 0.375849i
\(537\) 7.69416 10.4289i 0.332028 0.450038i
\(538\) −2.67249 + 9.97388i −0.115219 + 0.430005i
\(539\) −0.150521 0.561751i −0.00648339 0.0241963i
\(540\) 32.5535 + 67.5118i 1.40088 + 2.90524i
\(541\) −24.6486 + 24.6486i −1.05972 + 1.05972i −0.0616253 + 0.998099i \(0.519628\pi\)
−0.998099 + 0.0616253i \(0.980372\pi\)
\(542\) 61.6233i 2.64695i
\(543\) 14.7404 6.43408i 0.632570 0.276113i
\(544\) 23.4336 23.4336i 1.00471 1.00471i
\(545\) −18.8187 + 32.5949i −0.806103 + 1.39621i
\(546\) 5.12095 15.1680i 0.219156 0.649132i
\(547\) −6.95077 12.0391i −0.297193 0.514754i 0.678299 0.734786i \(-0.262717\pi\)
−0.975493 + 0.220032i \(0.929384\pi\)
\(548\) 17.9335 + 4.80526i 0.766080 + 0.205271i
\(549\) −7.53642 + 8.12776i −0.321647 + 0.346884i
\(550\) 6.39755 + 3.69363i 0.272793 + 0.157497i
\(551\) 12.4239 + 3.32897i 0.529276 + 0.141819i
\(552\) 27.9304 71.2003i 1.18879 3.03048i
\(553\) −7.87199 2.10929i −0.334751 0.0896962i
\(554\) −60.3754 + 16.1775i −2.56510 + 0.687317i
\(555\) 43.1216 18.8223i 1.83041 0.798963i
\(556\) 58.1955 + 33.5992i 2.46804 + 1.42492i
\(557\) −4.74951 + 17.7254i −0.201243 + 0.751050i 0.789319 + 0.613984i \(0.210434\pi\)
−0.990562 + 0.137066i \(0.956233\pi\)
\(558\) −49.7293 11.3330i −2.10521 0.479762i
\(559\) 1.17661 5.42536i 0.0497654 0.229468i
\(560\) 21.1944 12.2366i 0.895625 0.517089i
\(561\) 4.92724 0.743501i 0.208028 0.0313906i
\(562\) −25.7500 −1.08620
\(563\) 8.41024 + 14.5670i 0.354449 + 0.613924i 0.987024 0.160575i \(-0.0513350\pi\)
−0.632574 + 0.774500i \(0.718002\pi\)
\(564\) −47.2804 + 37.7177i −1.99086 + 1.58820i
\(565\) −8.25342 8.25342i −0.347224 0.347224i
\(566\) −12.7298 + 3.41095i −0.535075 + 0.143373i
\(567\) 6.82566 + 5.86604i 0.286651 + 0.246351i
\(568\) −1.61550 + 2.79812i −0.0677847 + 0.117406i
\(569\) 1.23938 2.14667i 0.0519575 0.0899931i −0.838877 0.544321i \(-0.816787\pi\)
0.890834 + 0.454328i \(0.150121\pi\)
\(570\) −84.4493 33.1277i −3.53719 1.38757i
\(571\) −14.6454 8.45552i −0.612890 0.353852i 0.161206 0.986921i \(-0.448462\pi\)
−0.774096 + 0.633069i \(0.781795\pi\)
\(572\) −8.06107 + 5.18776i −0.337050 + 0.216911i
\(573\) 6.64849 2.90202i 0.277744 0.121234i
\(574\) −6.13668 + 1.64432i −0.256140 + 0.0686325i
\(575\) −28.7431 + 16.5948i −1.19867 + 0.692053i
\(576\) −3.65270 3.38695i −0.152196 0.141123i
\(577\) 24.6642 + 24.6642i 1.02678 + 1.02678i 0.999631 + 0.0271507i \(0.00864339\pi\)
0.0271507 + 0.999631i \(0.491357\pi\)
\(578\) −13.5437 + 13.5437i −0.563344 + 0.563344i
\(579\) −10.9555 4.29762i −0.455296 0.178603i
\(580\) −7.41557 27.6753i −0.307915 1.14915i
\(581\) 12.4328 7.17810i 0.515801 0.297798i
\(582\) −72.6487 8.17329i −3.01139 0.338794i
\(583\) −2.07157 7.73120i −0.0857957 0.320194i
\(584\) −97.0263 −4.01498
\(585\) 26.1152 + 21.9712i 1.07973 + 0.908397i
\(586\) −73.3286 −3.02918
\(587\) 0.675221 + 2.51996i 0.0278694 + 0.104010i 0.978460 0.206439i \(-0.0661874\pi\)
−0.950590 + 0.310449i \(0.899521\pi\)
\(588\) 4.70098 6.37183i 0.193865 0.262770i
\(589\) 37.1910 21.4722i 1.53243 0.884748i
\(590\) −5.89305 21.9932i −0.242613 0.905444i
\(591\) 1.69287 + 11.2188i 0.0696355 + 0.461480i
\(592\) −47.2211 + 47.2211i −1.94077 + 1.94077i
\(593\) −14.9377 14.9377i −0.613419 0.613419i 0.330416 0.943835i \(-0.392811\pi\)
−0.943835 + 0.330416i \(0.892811\pi\)
\(594\) −1.44401 7.61096i −0.0592485 0.312281i
\(595\) −13.5171 + 7.80410i −0.554147 + 0.319937i
\(596\) −41.1655 + 11.0303i −1.68620 + 0.451817i
\(597\) 0.786241 6.98854i 0.0321787 0.286022i
\(598\) −2.98504 61.8386i −0.122067 2.52877i
\(599\) −27.2486 15.7320i −1.11335 0.642791i −0.173652 0.984807i \(-0.555557\pi\)
−0.939694 + 0.342016i \(0.888890\pi\)
\(600\) 8.44193 + 55.9453i 0.344640 + 2.28396i
\(601\) 11.5096 19.9352i 0.469486 0.813174i −0.529905 0.848057i \(-0.677772\pi\)
0.999391 + 0.0348828i \(0.0111058\pi\)
\(602\) 1.97353 3.41825i 0.0804351 0.139318i
\(603\) 3.95697 0.149380i 0.161140 0.00608321i
\(604\) −26.8715 + 7.20020i −1.09339 + 0.292972i
\(605\) 23.7868 + 23.7868i 0.967071 + 0.967071i
\(606\) 10.1984 + 67.5855i 0.414281 + 2.74547i
\(607\) 4.67657 + 8.10005i 0.189816 + 0.328771i 0.945189 0.326524i \(-0.105878\pi\)
−0.755373 + 0.655295i \(0.772544\pi\)
\(608\) 43.3792 1.75926
\(609\) −2.14554 2.68950i −0.0869416 0.108984i
\(610\) −25.8803 + 14.9420i −1.04786 + 0.604984i
\(611\) −12.6041 + 24.4866i −0.509906 + 0.990622i
\(612\) 49.7500 + 46.1304i 2.01102 + 1.86471i
\(613\) −0.721317 + 2.69199i −0.0291337 + 0.108729i −0.978962 0.204045i \(-0.934591\pi\)
0.949828 + 0.312773i \(0.101258\pi\)
\(614\) 52.2681 + 30.1770i 2.10937 + 1.21784i
\(615\) 1.51416 13.4587i 0.0610570 0.542708i
\(616\) −3.70330 + 0.992296i −0.149210 + 0.0399808i
\(617\) 5.52730 + 1.48103i 0.222521 + 0.0596242i 0.368357 0.929685i \(-0.379921\pi\)
−0.145836 + 0.989309i \(0.546587\pi\)
\(618\) −18.5144 + 2.79376i −0.744760 + 0.112381i
\(619\) −34.2266 9.17098i −1.37568 0.368613i −0.506131 0.862456i \(-0.668925\pi\)
−0.869551 + 0.493843i \(0.835592\pi\)
\(620\) −82.8461 47.8312i −3.32718 1.92095i
\(621\) 32.8574 + 11.4789i 1.31852 + 0.460631i
\(622\) −45.2330 12.1201i −1.81368 0.485973i
\(623\) −3.30852 5.73053i −0.132553 0.229589i
\(624\) −45.8946 15.4947i −1.83725 0.620283i
\(625\) −12.6114 + 21.8436i −0.504456 + 0.873744i
\(626\) −21.3447 + 21.3447i −0.853105 + 0.853105i
\(627\) 5.24869 + 3.87236i 0.209613 + 0.154647i
\(628\) 53.9064i 2.15110i
\(629\) 30.1161 30.1161i 1.20081 1.20081i
\(630\) 12.9166 + 20.5414i 0.514608 + 0.818389i
\(631\) 10.8947 + 40.6595i 0.433710 + 1.61863i 0.744135 + 0.668030i \(0.232862\pi\)
−0.310425 + 0.950598i \(0.600471\pi\)
\(632\) −13.9054 + 51.8955i −0.553125 + 2.06429i
\(633\) −3.99365 9.14937i −0.158733 0.363655i
\(634\) 68.6098i 2.72484i
\(635\) −4.77501 4.77501i −0.189491 0.189491i
\(636\) 64.6982 87.6935i 2.56545 3.47727i
\(637\) 0.764181 3.52364i 0.0302779 0.139612i
\(638\) 2.96137i 0.117242i
\(639\) −1.30016 0.686601i −0.0514336 0.0271615i
\(640\) 14.4220 + 24.9796i 0.570078 + 0.987404i
\(641\) −17.6032 −0.695286 −0.347643 0.937627i \(-0.613018\pi\)
−0.347643 + 0.937627i \(0.613018\pi\)
\(642\) 14.2047 36.2107i 0.560615 1.42912i
\(643\) 3.84780 14.3602i 0.151742 0.566311i −0.847620 0.530604i \(-0.821965\pi\)
0.999362 0.0357066i \(-0.0113682\pi\)
\(644\) 7.92545 29.5782i 0.312307 1.16554i
\(645\) 5.24734 + 6.57771i 0.206614 + 0.258997i
\(646\) −82.1157 −3.23080
\(647\) 15.5851 + 26.9942i 0.612714 + 1.06125i 0.990781 + 0.135473i \(0.0432554\pi\)
−0.378067 + 0.925778i \(0.623411\pi\)
\(648\) 38.6714 44.9976i 1.51916 1.76767i
\(649\) 1.63714i 0.0642634i
\(650\) 24.7852 + 38.5128i 0.972155 + 1.51059i
\(651\) −11.4151 1.28424i −0.447392 0.0503335i
\(652\) −77.7990 77.7990i −3.04685 3.04685i
\(653\) 21.7116i 0.849642i 0.905277 + 0.424821i \(0.139663\pi\)
−0.905277 + 0.424821i \(0.860337\pi\)
\(654\) 52.6337 + 5.92151i 2.05814 + 0.231549i
\(655\) 3.81825 14.2499i 0.149191 0.556790i
\(656\) 4.97528 + 18.5680i 0.194252 + 0.724959i
\(657\) −1.66566 44.1221i −0.0649834 1.72137i
\(658\) −13.8457 + 13.8457i −0.539762 + 0.539762i
\(659\) 0.137034i 0.00533810i −0.999996 0.00266905i \(-0.999150\pi\)
0.999996 0.00266905i \(-0.000849587\pi\)
\(660\) 1.62439 14.4385i 0.0632294 0.562018i
\(661\) −11.9150 + 11.9150i −0.463439 + 0.463439i −0.899781 0.436342i \(-0.856274\pi\)
0.436342 + 0.899781i \(0.356274\pi\)
\(662\) −3.47365 + 6.01653i −0.135007 + 0.233839i
\(663\) 29.2701 + 9.88201i 1.13676 + 0.383785i
\(664\) −47.3211 81.9625i −1.83641 3.18076i
\(665\) −19.7344 5.28781i −0.765266 0.205052i
\(666\) −48.5522 45.0198i −1.88136 1.74448i
\(667\) −11.5224 6.65246i −0.446149 0.257584i
\(668\) −61.4952 16.4776i −2.37932 0.637537i
\(669\) 27.6771 + 34.6942i 1.07006 + 1.34135i
\(670\) 10.3122 + 2.76315i 0.398396 + 0.106750i
\(671\) 2.07551 0.556131i 0.0801241 0.0214692i
\(672\) −9.33718 6.88875i −0.360190 0.265739i
\(673\) 35.8568 + 20.7019i 1.38218 + 0.798001i 0.992417 0.122915i \(-0.0392241\pi\)
0.389762 + 0.920916i \(0.372557\pi\)
\(674\) −9.24843 + 34.5156i −0.356236 + 1.32949i
\(675\) −25.2959 + 4.79933i −0.973638 + 0.184726i
\(676\) −59.1549 + 5.72433i −2.27519 + 0.220167i
\(677\) −16.6401 + 9.60716i −0.639530 + 0.369233i −0.784434 0.620213i \(-0.787046\pi\)
0.144903 + 0.989446i \(0.453713\pi\)
\(678\) −5.99845 + 15.2913i −0.230369 + 0.587258i
\(679\) −16.4650 −0.631869
\(680\) 51.4479 + 89.1105i 1.97294 + 3.41723i
\(681\) −9.64525 3.78363i −0.369607 0.144989i
\(682\) 6.99151 + 6.99151i 0.267719 + 0.267719i
\(683\) 40.6094 10.8813i 1.55388 0.416360i 0.623158 0.782096i \(-0.285850\pi\)
0.930718 + 0.365736i \(0.119183\pi\)
\(684\) 3.35019 + 88.7445i 0.128098 + 3.39323i
\(685\) −6.40680 + 11.0969i −0.244791 + 0.423991i
\(686\) 1.28176 2.22007i 0.0489378 0.0847628i
\(687\) −3.54383 + 2.82708i −0.135206 + 0.107860i
\(688\) −10.3428 5.97139i −0.394314 0.227657i
\(689\) 10.5172 48.4947i 0.400673 1.84750i
\(690\) 75.5105 + 55.7099i 2.87464 + 2.12084i
\(691\) 33.2013 8.89625i 1.26304 0.338429i 0.435677 0.900103i \(-0.356509\pi\)
0.827359 + 0.561674i \(0.189842\pi\)
\(692\) 23.1001 13.3369i 0.878135 0.506992i
\(693\) −0.514815 1.66702i −0.0195562 0.0633248i
\(694\) 44.2949 + 44.2949i 1.68141 + 1.68141i
\(695\) −32.7940 + 32.7940i −1.24395 + 1.24395i
\(696\) −17.7303 + 14.1443i −0.672067 + 0.536138i
\(697\) −3.17308 11.8421i −0.120189 0.448551i
\(698\) 63.0742 36.4159i 2.38739 1.37836i
\(699\) −3.49670 8.01087i −0.132257 0.302999i
\(700\) 5.86292 + 21.8807i 0.221598 + 0.827013i
\(701\) 0.518691 0.0195907 0.00979534 0.999952i \(-0.496882\pi\)
0.00979534 + 0.999952i \(0.496882\pi\)
\(702\) 13.6353 46.0513i 0.514631 1.73809i
\(703\) 55.7495 2.10263
\(704\) 0.249931 + 0.932756i 0.00941963 + 0.0351546i
\(705\) −16.6988 38.2566i −0.628912 1.44083i
\(706\) −61.6965 + 35.6205i −2.32198 + 1.34060i
\(707\) 3.98420 + 14.8693i 0.149841 + 0.559216i
\(708\) −17.4250 + 13.9007i −0.654872 + 0.522421i
\(709\) −0.124715 + 0.124715i −0.00468378 + 0.00468378i −0.709445 0.704761i \(-0.751054\pi\)
0.704761 + 0.709445i \(0.251054\pi\)
\(710\) −2.80307 2.80307i −0.105197 0.105197i
\(711\) −23.8379 5.43248i −0.893990 0.203734i
\(712\) −37.7781 + 21.8112i −1.41579 + 0.817409i
\(713\) −42.9091 + 11.4975i −1.60696 + 0.430583i
\(714\) 17.6751 + 13.0402i 0.661473 + 0.488019i
\(715\) −2.01847 6.30054i −0.0754864 0.235627i
\(716\) −29.6241 17.1035i −1.10711 0.639188i
\(717\) −16.2686 + 12.9782i −0.607563 + 0.484681i
\(718\) 8.13353 14.0877i 0.303540 0.525748i
\(719\) −9.40670 + 16.2929i −0.350811 + 0.607622i −0.986392 0.164412i \(-0.947427\pi\)
0.635581 + 0.772034i \(0.280761\pi\)
\(720\) 62.1530 39.0822i 2.31630 1.45651i
\(721\) −4.07329 + 1.09144i −0.151697 + 0.0406472i
\(722\) −41.5633 41.5633i −1.54683 1.54683i
\(723\) 26.3806 + 10.3485i 0.981105 + 0.384867i
\(724\) −21.2255 36.7637i −0.788840 1.36631i
\(725\) 9.84243 0.365539
\(726\) 17.2878 44.0703i 0.641612 1.63560i
\(727\) −20.3528 + 11.7507i −0.754843 + 0.435809i −0.827441 0.561552i \(-0.810204\pi\)
0.0725979 + 0.997361i \(0.476871\pi\)
\(728\) −23.2293 5.03780i −0.860936 0.186713i
\(729\) 21.1263 + 16.8131i 0.782454 + 0.622708i
\(730\) 30.8105 114.986i 1.14035 4.25584i
\(731\) 6.59629 + 3.80837i 0.243972 + 0.140858i
\(732\) 23.5421 + 17.3688i 0.870140 + 0.641968i
\(733\) 18.2968 4.90262i 0.675808 0.181082i 0.0954385 0.995435i \(-0.469575\pi\)
0.580370 + 0.814353i \(0.302908\pi\)
\(734\) 72.4276 + 19.4069i 2.67335 + 0.716323i
\(735\) 3.40802 + 4.27206i 0.125707 + 0.157577i
\(736\) −43.3434 11.6138i −1.59766 0.428092i
\(737\) −0.664785 0.383814i −0.0244877 0.0141380i
\(738\) −18.2108 + 5.62395i −0.670350 + 0.207020i
\(739\) 42.5064 + 11.3896i 1.56362 + 0.418972i 0.933809 0.357773i \(-0.116464\pi\)
0.629816 + 0.776744i \(0.283130\pi\)
\(740\) −62.0933 107.549i −2.28260 3.95357i
\(741\) 17.9452 + 36.2382i 0.659232 + 1.33124i
\(742\) 17.6405 30.5542i 0.647602 1.12168i
\(743\) −13.2793 + 13.2793i −0.487171 + 0.487171i −0.907412 0.420241i \(-0.861945\pi\)
0.420241 + 0.907412i \(0.361945\pi\)
\(744\) −8.46628 + 75.2530i −0.310389 + 2.75891i
\(745\) 29.4130i 1.07761i
\(746\) −36.8281 + 36.8281i −1.34837 + 1.34837i
\(747\) 36.4596 22.9260i 1.33399 0.838820i
\(748\) −3.40407 12.7042i −0.124465 0.464511i
\(749\) 2.26734 8.46184i 0.0828469 0.309189i
\(750\) 0.625992 + 0.0704267i 0.0228580 + 0.00257162i
\(751\) 38.2653i 1.39632i −0.715941 0.698161i \(-0.754002\pi\)
0.715941 0.698161i \(-0.245998\pi\)
\(752\) 41.8935 + 41.8935i 1.52770 + 1.52770i
\(753\) 18.9698 + 2.13419i 0.691299 + 0.0777740i
\(754\) −8.40252 + 16.3240i −0.306002 + 0.594486i
\(755\) 19.1999i 0.698755i
\(756\) 13.3718 19.6339i 0.486327 0.714078i
\(757\) −7.71838 13.3686i −0.280529 0.485891i 0.690986 0.722868i \(-0.257177\pi\)
−0.971515 + 0.236977i \(0.923843\pi\)
\(758\) 39.0471 1.41826
\(759\) −4.20763 5.27440i −0.152727 0.191448i
\(760\) −34.8595 + 130.097i −1.26449 + 4.71913i
\(761\) 8.93299 33.3384i 0.323821 1.20851i −0.591672 0.806179i \(-0.701532\pi\)
0.915492 0.402336i \(-0.131801\pi\)
\(762\) −3.47040 + 8.84676i −0.125719 + 0.320484i
\(763\) 11.9288 0.431852
\(764\) −9.57355 16.5819i −0.346359 0.599911i
\(765\) −39.6392 + 24.9254i −1.43316 + 0.901180i
\(766\) 27.0529i 0.977461i
\(767\) −4.64519 + 9.02445i −0.167728 + 0.325854i
\(768\) 27.5132 37.2920i 0.992796 1.34566i
\(769\) 8.22657 + 8.22657i 0.296658 + 0.296658i 0.839703 0.543046i \(-0.182729\pi\)
−0.543046 + 0.839703i \(0.682729\pi\)
\(770\) 4.70390i 0.169517i
\(771\) 6.82438 + 15.6345i 0.245774 + 0.563064i
\(772\) −8.03934 + 30.0032i −0.289342 + 1.07984i
\(773\) 12.2125 + 45.5776i 0.439252 + 1.63931i 0.730680 + 0.682720i \(0.239203\pi\)
−0.291428 + 0.956593i \(0.594130\pi\)