Properties

Label 546.2.q.i.251.9
Level $546$
Weight $2$
Character 546.251
Analytic conductor $4.360$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.9
Character \(\chi\) \(=\) 546.251
Dual form 546.2.q.i.335.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.514158 - 1.65398i) q^{3} +(-0.500000 - 0.866025i) q^{4} -3.58412i q^{5} +(1.17531 + 1.27226i) q^{6} +(-2.54363 + 0.727985i) q^{7} +1.00000 q^{8} +(-2.47128 - 1.70081i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.514158 - 1.65398i) q^{3} +(-0.500000 - 0.866025i) q^{4} -3.58412i q^{5} +(1.17531 + 1.27226i) q^{6} +(-2.54363 + 0.727985i) q^{7} +1.00000 q^{8} +(-2.47128 - 1.70081i) q^{9} +(3.10394 + 1.79206i) q^{10} +(-0.630804 + 1.09258i) q^{11} +(-1.68947 + 0.381715i) q^{12} +(-2.88239 - 2.16606i) q^{13} +(0.641360 - 2.56684i) q^{14} +(-5.92805 - 1.84280i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.57988 + 2.73643i) q^{17} +(2.70859 - 1.28979i) q^{18} +(0.386956 + 0.670228i) q^{19} +(-3.10394 + 1.79206i) q^{20} +(-0.103757 + 4.58140i) q^{21} +(-0.630804 - 1.09258i) q^{22} +(7.28626 + 4.20672i) q^{23} +(0.514158 - 1.65398i) q^{24} -7.84590 q^{25} +(3.31706 - 1.41319i) q^{26} +(-4.08374 + 3.21296i) q^{27} +(1.90227 + 1.83885i) q^{28} +(-6.76234 - 3.90424i) q^{29} +(4.55994 - 4.21244i) q^{30} -7.70977 q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.48278 + 1.60510i) q^{33} -3.15976 q^{34} +(2.60918 + 9.11666i) q^{35} +(-0.237306 + 2.99060i) q^{36} +(-0.424035 - 0.244817i) q^{37} -0.773913 q^{38} +(-5.06463 + 3.65371i) q^{39} -3.58412i q^{40} +(1.17143 + 0.676327i) q^{41} +(-3.91573 - 2.38056i) q^{42} +(0.125032 + 0.216561i) q^{43} +1.26161 q^{44} +(-6.09591 + 8.85737i) q^{45} +(-7.28626 + 4.20672i) q^{46} -10.9168i q^{47} +(1.17531 + 1.27226i) q^{48} +(5.94008 - 3.70344i) q^{49} +(3.92295 - 6.79475i) q^{50} +(5.33831 - 1.20613i) q^{51} +(-0.434672 + 3.57925i) q^{52} -12.1730i q^{53} +(-0.740636 - 5.14310i) q^{54} +(3.91595 + 2.26088i) q^{55} +(-2.54363 + 0.727985i) q^{56} +(1.30750 - 0.295414i) q^{57} +(6.76234 - 3.90424i) q^{58} +(10.4372 - 6.02594i) q^{59} +(1.36811 + 6.05524i) q^{60} +(3.27341 - 1.88990i) q^{61} +(3.85488 - 6.67685i) q^{62} +(7.52419 + 2.52718i) q^{63} +1.00000 q^{64} +(-7.76343 + 10.3308i) q^{65} +(-2.13144 + 0.481574i) q^{66} +(-10.4963 - 6.06005i) q^{67} +(1.57988 - 2.73643i) q^{68} +(10.7041 - 9.88839i) q^{69} +(-9.19985 - 2.29871i) q^{70} +(-0.0759653 - 0.131576i) q^{71} +(-2.47128 - 1.70081i) q^{72} -10.3607 q^{73} +(0.424035 - 0.244817i) q^{74} +(-4.03403 + 12.9769i) q^{75} +(0.386956 - 0.670228i) q^{76} +(0.809145 - 3.23834i) q^{77} +(-0.631890 - 6.21295i) q^{78} +5.53840 q^{79} +(3.10394 + 1.79206i) q^{80} +(3.21447 + 8.40638i) q^{81} +(-1.17143 + 0.676327i) q^{82} -3.23534i q^{83} +(4.01949 - 2.20084i) q^{84} +(9.80769 - 5.66247i) q^{85} -0.250064 q^{86} +(-9.93444 + 9.17736i) q^{87} +(-0.630804 + 1.09258i) q^{88} +(-5.69791 - 3.28969i) q^{89} +(-4.62275 - 9.70790i) q^{90} +(8.90858 + 3.41132i) q^{91} -8.41345i q^{92} +(-3.96404 + 12.7518i) q^{93} +(9.45425 + 5.45842i) q^{94} +(2.40218 - 1.38690i) q^{95} +(-1.68947 + 0.381715i) q^{96} +(-2.21400 - 3.83477i) q^{97} +(0.237237 + 6.99598i) q^{98} +(3.41718 - 1.62721i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} - 12q^{4} - 18q^{7} + 24q^{8} - 12q^{9} + O(q^{10}) \) \( 24q - 12q^{2} - 12q^{4} - 18q^{7} + 24q^{8} - 12q^{9} + 6q^{15} - 12q^{16} + 6q^{18} - 12q^{21} + 36q^{23} - 12q^{25} + 18q^{28} - 12q^{30} - 12q^{32} + 36q^{35} + 6q^{36} + 36q^{37} + 12q^{39} + 24q^{42} - 42q^{43} - 36q^{46} + 6q^{50} + 12q^{51} - 18q^{56} + 36q^{57} + 6q^{60} + 24q^{63} + 24q^{64} - 66q^{65} - 54q^{67} - 48q^{71} - 12q^{72} - 36q^{74} - 42q^{78} - 48q^{79} + 84q^{81} - 12q^{84} + 84q^{86} + 36q^{91} - 18q^{93} + 36q^{95} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 0.514158 1.65398i 0.296849 0.954924i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 3.58412i 1.60287i −0.598085 0.801433i \(-0.704071\pi\)
0.598085 0.801433i \(-0.295929\pi\)
\(6\) 1.17531 + 1.27226i 0.479817 + 0.519399i
\(7\) −2.54363 + 0.727985i −0.961401 + 0.275152i
\(8\) 1.00000 0.353553
\(9\) −2.47128 1.70081i −0.823761 0.566938i
\(10\) 3.10394 + 1.79206i 0.981551 + 0.566699i
\(11\) −0.630804 + 1.09258i −0.190195 + 0.329427i −0.945315 0.326160i \(-0.894245\pi\)
0.755120 + 0.655587i \(0.227579\pi\)
\(12\) −1.68947 + 0.381715i −0.487707 + 0.110191i
\(13\) −2.88239 2.16606i −0.799431 0.600758i
\(14\) 0.641360 2.56684i 0.171411 0.686016i
\(15\) −5.92805 1.84280i −1.53062 0.475810i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.57988 + 2.73643i 0.383177 + 0.663682i 0.991514 0.129996i \(-0.0414965\pi\)
−0.608337 + 0.793679i \(0.708163\pi\)
\(18\) 2.70859 1.28979i 0.638420 0.304006i
\(19\) 0.386956 + 0.670228i 0.0887739 + 0.153761i 0.906993 0.421145i \(-0.138372\pi\)
−0.818219 + 0.574906i \(0.805038\pi\)
\(20\) −3.10394 + 1.79206i −0.694061 + 0.400716i
\(21\) −0.103757 + 4.58140i −0.0226416 + 0.999744i
\(22\) −0.630804 1.09258i −0.134488 0.232940i
\(23\) 7.28626 + 4.20672i 1.51929 + 0.877162i 0.999742 + 0.0227213i \(0.00723304\pi\)
0.519548 + 0.854441i \(0.326100\pi\)
\(24\) 0.514158 1.65398i 0.104952 0.337617i
\(25\) −7.84590 −1.56918
\(26\) 3.31706 1.41319i 0.650529 0.277149i
\(27\) −4.08374 + 3.21296i −0.785915 + 0.618334i
\(28\) 1.90227 + 1.83885i 0.359495 + 0.347511i
\(29\) −6.76234 3.90424i −1.25574 0.724999i −0.283493 0.958974i \(-0.591493\pi\)
−0.972243 + 0.233975i \(0.924826\pi\)
\(30\) 4.55994 4.21244i 0.832527 0.769083i
\(31\) −7.70977 −1.38471 −0.692357 0.721555i \(-0.743428\pi\)
−0.692357 + 0.721555i \(0.743428\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 1.48278 + 1.60510i 0.258118 + 0.279412i
\(34\) −3.15976 −0.541894
\(35\) 2.60918 + 9.11666i 0.441032 + 1.54100i
\(36\) −0.237306 + 2.99060i −0.0395509 + 0.498433i
\(37\) −0.424035 0.244817i −0.0697109 0.0402476i 0.464739 0.885447i \(-0.346148\pi\)
−0.534450 + 0.845200i \(0.679481\pi\)
\(38\) −0.773913 −0.125545
\(39\) −5.06463 + 3.65371i −0.810989 + 0.585061i
\(40\) 3.58412i 0.566699i
\(41\) 1.17143 + 0.676327i 0.182947 + 0.105625i 0.588677 0.808369i \(-0.299649\pi\)
−0.405730 + 0.913993i \(0.632983\pi\)
\(42\) −3.91573 2.38056i −0.604210 0.367328i
\(43\) 0.125032 + 0.216561i 0.0190672 + 0.0330253i 0.875402 0.483396i \(-0.160597\pi\)
−0.856334 + 0.516422i \(0.827264\pi\)
\(44\) 1.26161 0.190195
\(45\) −6.09591 + 8.85737i −0.908725 + 1.32038i
\(46\) −7.28626 + 4.20672i −1.07430 + 0.620248i
\(47\) 10.9168i 1.59238i −0.605044 0.796192i \(-0.706845\pi\)
0.605044 0.796192i \(-0.293155\pi\)
\(48\) 1.17531 + 1.27226i 0.169641 + 0.183635i
\(49\) 5.94008 3.70344i 0.848582 0.529063i
\(50\) 3.92295 6.79475i 0.554789 0.960922i
\(51\) 5.33831 1.20613i 0.747512 0.168891i
\(52\) −0.434672 + 3.57925i −0.0602781 + 0.496353i
\(53\) 12.1730i 1.67208i −0.548665 0.836042i \(-0.684864\pi\)
0.548665 0.836042i \(-0.315136\pi\)
\(54\) −0.740636 5.14310i −0.100788 0.699887i
\(55\) 3.91595 + 2.26088i 0.528027 + 0.304856i
\(56\) −2.54363 + 0.727985i −0.339906 + 0.0972810i
\(57\) 1.30750 0.295414i 0.173182 0.0391285i
\(58\) 6.76234 3.90424i 0.887939 0.512652i
\(59\) 10.4372 6.02594i 1.35881 0.784510i 0.369348 0.929291i \(-0.379581\pi\)
0.989464 + 0.144781i \(0.0462478\pi\)
\(60\) 1.36811 + 6.05524i 0.176622 + 0.781728i
\(61\) 3.27341 1.88990i 0.419117 0.241977i −0.275583 0.961277i \(-0.588871\pi\)
0.694699 + 0.719300i \(0.255537\pi\)
\(62\) 3.85488 6.67685i 0.489571 0.847961i
\(63\) 7.52419 + 2.52718i 0.947958 + 0.318394i
\(64\) 1.00000 0.125000
\(65\) −7.76343 + 10.3308i −0.962935 + 1.28138i
\(66\) −2.13144 + 0.481574i −0.262363 + 0.0592777i
\(67\) −10.4963 6.06005i −1.28233 0.740353i −0.305056 0.952335i \(-0.598675\pi\)
−0.977274 + 0.211981i \(0.932008\pi\)
\(68\) 1.57988 2.73643i 0.191589 0.331841i
\(69\) 10.7041 9.88839i 1.28862 1.19042i
\(70\) −9.19985 2.29871i −1.09959 0.274748i
\(71\) −0.0759653 0.131576i −0.00901542 0.0156152i 0.861482 0.507787i \(-0.169536\pi\)
−0.870498 + 0.492172i \(0.836203\pi\)
\(72\) −2.47128 1.70081i −0.291243 0.200443i
\(73\) −10.3607 −1.21263 −0.606315 0.795224i \(-0.707353\pi\)
−0.606315 + 0.795224i \(0.707353\pi\)
\(74\) 0.424035 0.244817i 0.0492930 0.0284593i
\(75\) −4.03403 + 12.9769i −0.465810 + 1.49845i
\(76\) 0.386956 0.670228i 0.0443869 0.0768804i
\(77\) 0.809145 3.23834i 0.0922107 0.369043i
\(78\) −0.631890 6.21295i −0.0715475 0.703478i
\(79\) 5.53840 0.623118 0.311559 0.950227i \(-0.399149\pi\)
0.311559 + 0.950227i \(0.399149\pi\)
\(80\) 3.10394 + 1.79206i 0.347031 + 0.200358i
\(81\) 3.21447 + 8.40638i 0.357164 + 0.934042i
\(82\) −1.17143 + 0.676327i −0.129363 + 0.0746878i
\(83\) 3.23534i 0.355125i −0.984110 0.177562i \(-0.943179\pi\)
0.984110 0.177562i \(-0.0568211\pi\)
\(84\) 4.01949 2.20084i 0.438562 0.240132i
\(85\) 9.80769 5.66247i 1.06379 0.614182i
\(86\) −0.250064 −0.0269651
\(87\) −9.93444 + 9.17736i −1.06508 + 0.983916i
\(88\) −0.630804 + 1.09258i −0.0672439 + 0.116470i
\(89\) −5.69791 3.28969i −0.603977 0.348706i 0.166627 0.986020i \(-0.446712\pi\)
−0.770605 + 0.637314i \(0.780046\pi\)
\(90\) −4.62275 9.70790i −0.487280 1.02330i
\(91\) 8.90858 + 3.41132i 0.933873 + 0.357604i
\(92\) 8.41345i 0.877162i
\(93\) −3.96404 + 12.7518i −0.411052 + 1.32230i
\(94\) 9.45425 + 5.45842i 0.975132 + 0.562993i
\(95\) 2.40218 1.38690i 0.246458 0.142293i
\(96\) −1.68947 + 0.381715i −0.172430 + 0.0389586i
\(97\) −2.21400 3.83477i −0.224798 0.389361i 0.731461 0.681883i \(-0.238839\pi\)
−0.956259 + 0.292522i \(0.905506\pi\)
\(98\) 0.237237 + 6.99598i 0.0239646 + 0.706701i
\(99\) 3.41718 1.62721i 0.343439 0.163540i
\(100\) 3.92295 + 6.79475i 0.392295 + 0.679475i
\(101\) 0.490495 0.849562i 0.0488061 0.0845346i −0.840590 0.541671i \(-0.817792\pi\)
0.889396 + 0.457137i \(0.151125\pi\)
\(102\) −1.62462 + 5.22617i −0.160861 + 0.517468i
\(103\) 15.6826i 1.54525i −0.634860 0.772627i \(-0.718942\pi\)
0.634860 0.772627i \(-0.281058\pi\)
\(104\) −2.88239 2.16606i −0.282642 0.212400i
\(105\) 16.4203 + 0.371877i 1.60246 + 0.0362915i
\(106\) 10.5421 + 6.08648i 1.02394 + 0.591171i
\(107\) 4.25464 + 2.45642i 0.411311 + 0.237471i 0.691353 0.722517i \(-0.257015\pi\)
−0.280042 + 0.959988i \(0.590348\pi\)
\(108\) 4.82437 + 1.93014i 0.464225 + 0.185728i
\(109\) 5.99158i 0.573889i 0.957947 + 0.286945i \(0.0926395\pi\)
−0.957947 + 0.286945i \(0.907360\pi\)
\(110\) −3.91595 + 2.26088i −0.373371 + 0.215566i
\(111\) −0.622942 + 0.575469i −0.0591270 + 0.0546211i
\(112\) 0.641360 2.56684i 0.0606029 0.242543i
\(113\) −13.7438 + 7.93500i −1.29291 + 0.746462i −0.979169 0.203047i \(-0.934916\pi\)
−0.313741 + 0.949509i \(0.601582\pi\)
\(114\) −0.397914 + 1.28003i −0.0372680 + 0.119886i
\(115\) 15.0774 26.1148i 1.40597 2.43522i
\(116\) 7.80848i 0.724999i
\(117\) 3.43913 + 10.2554i 0.317948 + 0.948108i
\(118\) 12.0519i 1.10946i
\(119\) −6.01071 5.81033i −0.551000 0.532633i
\(120\) −5.92805 1.84280i −0.541154 0.168224i
\(121\) 4.70417 + 8.14787i 0.427652 + 0.740715i
\(122\) 3.77980i 0.342207i
\(123\) 1.72093 1.58978i 0.155171 0.143346i
\(124\) 3.85488 + 6.67685i 0.346179 + 0.599599i
\(125\) 10.2000i 0.912318i
\(126\) −5.95069 + 5.25255i −0.530130 + 0.467934i
\(127\) −5.41129 + 9.37263i −0.480174 + 0.831686i −0.999741 0.0227433i \(-0.992760\pi\)
0.519567 + 0.854430i \(0.326093\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 0.422474 0.0954529i 0.0371967 0.00840416i
\(130\) −5.06504 11.8887i −0.444233 1.04271i
\(131\) 13.6129 1.18936 0.594682 0.803961i \(-0.297278\pi\)
0.594682 + 0.803961i \(0.297278\pi\)
\(132\) 0.648666 2.08667i 0.0564591 0.181621i
\(133\) −1.47219 1.42311i −0.127655 0.123399i
\(134\) 10.4963 6.06005i 0.906744 0.523509i
\(135\) 11.5156 + 14.6366i 0.991107 + 1.25972i
\(136\) 1.57988 + 2.73643i 0.135474 + 0.234647i
\(137\) −1.10639 1.91632i −0.0945251 0.163722i 0.814885 0.579622i \(-0.196800\pi\)
−0.909410 + 0.415900i \(0.863467\pi\)
\(138\) 3.21153 + 14.2142i 0.273384 + 1.21000i
\(139\) 2.92041 1.68610i 0.247706 0.143013i −0.371007 0.928630i \(-0.620988\pi\)
0.618713 + 0.785617i \(0.287654\pi\)
\(140\) 6.59067 6.81795i 0.557013 0.576222i
\(141\) −18.0562 5.61298i −1.52061 0.472698i
\(142\) 0.151931 0.0127497
\(143\) 4.18483 1.78289i 0.349953 0.149093i
\(144\) 2.70859 1.28979i 0.225716 0.107482i
\(145\) −13.9933 + 24.2370i −1.16208 + 2.01277i
\(146\) 5.18036 8.97264i 0.428730 0.742581i
\(147\) −3.07127 11.7289i −0.253314 0.967384i
\(148\) 0.489633i 0.0402476i
\(149\) −2.67228 4.62852i −0.218922 0.379183i 0.735557 0.677463i \(-0.236921\pi\)
−0.954479 + 0.298279i \(0.903587\pi\)
\(150\) −9.22134 9.98204i −0.752919 0.815030i
\(151\) 13.2645i 1.07945i 0.841842 + 0.539723i \(0.181471\pi\)
−0.841842 + 0.539723i \(0.818529\pi\)
\(152\) 0.386956 + 0.670228i 0.0313863 + 0.0543627i
\(153\) 0.749829 9.44958i 0.0606201 0.763953i
\(154\) 2.39991 + 2.31991i 0.193391 + 0.186944i
\(155\) 27.6327i 2.21951i
\(156\) 5.69652 + 2.55924i 0.456086 + 0.204903i
\(157\) 5.83056i 0.465329i 0.972557 + 0.232665i \(0.0747444\pi\)
−0.972557 + 0.232665i \(0.925256\pi\)
\(158\) −2.76920 + 4.79639i −0.220306 + 0.381581i
\(159\) −20.1338 6.25883i −1.59671 0.496358i
\(160\) −3.10394 + 1.79206i −0.245388 + 0.141675i
\(161\) −21.5960 5.39605i −1.70200 0.425268i
\(162\) −8.88737 1.41937i −0.698258 0.111516i
\(163\) 16.1748 9.33852i 1.26691 0.731449i 0.292506 0.956264i \(-0.405511\pi\)
0.974402 + 0.224815i \(0.0721777\pi\)
\(164\) 1.35265i 0.105625i
\(165\) 5.75286 5.31445i 0.447859 0.413729i
\(166\) 2.80189 + 1.61767i 0.217468 + 0.125555i
\(167\) −2.79787 1.61535i −0.216505 0.124999i 0.387826 0.921733i \(-0.373226\pi\)
−0.604331 + 0.796733i \(0.706560\pi\)
\(168\) −0.103757 + 4.58140i −0.00800502 + 0.353463i
\(169\) 3.61634 + 12.4869i 0.278180 + 0.960529i
\(170\) 11.3249i 0.868584i
\(171\) 0.183654 2.31446i 0.0140444 0.176991i
\(172\) 0.125032 0.216561i 0.00953359 0.0165127i
\(173\) 7.02069 + 12.1602i 0.533773 + 0.924522i 0.999222 + 0.0394472i \(0.0125597\pi\)
−0.465449 + 0.885075i \(0.654107\pi\)
\(174\) −2.98061 13.1922i −0.225959 1.00009i
\(175\) 19.9570 5.71169i 1.50861 0.431763i
\(176\) −0.630804 1.09258i −0.0475486 0.0823567i
\(177\) −4.60038 20.3612i −0.345785 1.53044i
\(178\) 5.69791 3.28969i 0.427076 0.246573i
\(179\) 7.80209 + 4.50454i 0.583156 + 0.336685i 0.762386 0.647122i \(-0.224028\pi\)
−0.179231 + 0.983807i \(0.557361\pi\)
\(180\) 10.7187 + 0.850531i 0.798922 + 0.0633949i
\(181\) 13.9831i 1.03935i −0.854363 0.519676i \(-0.826053\pi\)
0.854363 0.519676i \(-0.173947\pi\)
\(182\) −7.40858 + 6.00940i −0.549161 + 0.445446i
\(183\) −1.44281 6.38585i −0.106655 0.472055i
\(184\) 7.28626 + 4.20672i 0.537150 + 0.310124i
\(185\) −0.877451 + 1.51979i −0.0645115 + 0.111737i
\(186\) −9.06134 9.80885i −0.664410 0.719220i
\(187\) −3.98638 −0.291513
\(188\) −9.45425 + 5.45842i −0.689522 + 0.398096i
\(189\) 8.04852 11.1455i 0.585443 0.810713i
\(190\) 2.77379i 0.201232i
\(191\) 19.5584 11.2921i 1.41520 0.817066i 0.419328 0.907835i \(-0.362266\pi\)
0.995872 + 0.0907692i \(0.0289326\pi\)
\(192\) 0.514158 1.65398i 0.0371062 0.119366i
\(193\) −6.75717 3.90126i −0.486392 0.280819i 0.236684 0.971587i \(-0.423939\pi\)
−0.723076 + 0.690768i \(0.757273\pi\)
\(194\) 4.42801 0.317912
\(195\) 13.0953 + 18.1522i 0.937775 + 1.29991i
\(196\) −6.17731 3.29254i −0.441237 0.235181i
\(197\) 8.91140 15.4350i 0.634911 1.09970i −0.351623 0.936142i \(-0.614370\pi\)
0.986534 0.163557i \(-0.0522967\pi\)
\(198\) −0.299387 + 3.77296i −0.0212765 + 0.268133i
\(199\) 8.97099 5.17941i 0.635937 0.367158i −0.147111 0.989120i \(-0.546997\pi\)
0.783048 + 0.621962i \(0.213664\pi\)
\(200\) −7.84590 −0.554789
\(201\) −15.4200 + 14.2448i −1.08764 + 1.00475i
\(202\) 0.490495 + 0.849562i 0.0345111 + 0.0597750i
\(203\) 20.0431 + 5.00805i 1.40675 + 0.351496i
\(204\) −3.71369 4.02005i −0.260010 0.281459i
\(205\) 2.42403 4.19855i 0.169302 0.293240i
\(206\) 13.5815 + 7.84131i 0.946271 + 0.546330i
\(207\) −10.8516 22.7886i −0.754235 1.58391i
\(208\) 3.31706 1.41319i 0.229997 0.0979871i
\(209\) −0.976374 −0.0675372
\(210\) −8.53219 + 14.0344i −0.588777 + 0.968468i
\(211\) −1.30125 + 2.25382i −0.0895814 + 0.155160i −0.907334 0.420410i \(-0.861886\pi\)
0.817753 + 0.575570i \(0.195220\pi\)
\(212\) −10.5421 + 6.08648i −0.724034 + 0.418021i
\(213\) −0.256681 + 0.0579941i −0.0175875 + 0.00397369i
\(214\) −4.25464 + 2.45642i −0.290841 + 0.167917i
\(215\) 0.776182 0.448129i 0.0529351 0.0305621i
\(216\) −4.08374 + 3.21296i −0.277863 + 0.218614i
\(217\) 19.6108 5.61259i 1.33127 0.381007i
\(218\) −5.18886 2.99579i −0.351434 0.202900i
\(219\) −5.32705 + 17.1364i −0.359969 + 1.15797i
\(220\) 4.52175i 0.304856i
\(221\) 1.37346 11.3096i 0.0923888 0.760765i
\(222\) −0.186900 0.827218i −0.0125439 0.0555193i
\(223\) −6.59396 + 11.4211i −0.441564 + 0.764812i −0.997806 0.0662090i \(-0.978910\pi\)
0.556242 + 0.831021i \(0.312243\pi\)
\(224\) 1.90227 + 1.83885i 0.127101 + 0.122864i
\(225\) 19.3894 + 13.3444i 1.29263 + 0.889627i
\(226\) 15.8700i 1.05566i
\(227\) −19.5736 + 11.3008i −1.29914 + 0.750060i −0.980256 0.197733i \(-0.936642\pi\)
−0.318886 + 0.947793i \(0.603309\pi\)
\(228\) −0.909585 0.984620i −0.0602387 0.0652081i
\(229\) −0.457707 −0.0302461 −0.0151230 0.999886i \(-0.504814\pi\)
−0.0151230 + 0.999886i \(0.504814\pi\)
\(230\) 15.0774 + 26.1148i 0.994174 + 1.72196i
\(231\) −4.94012 3.00333i −0.325036 0.197605i
\(232\) −6.76234 3.90424i −0.443969 0.256326i
\(233\) 15.7117i 1.02931i −0.857398 0.514654i \(-0.827921\pi\)
0.857398 0.514654i \(-0.172079\pi\)
\(234\) −10.6010 2.14931i −0.693007 0.140505i
\(235\) −39.1272 −2.55238
\(236\) −10.4372 6.02594i −0.679406 0.392255i
\(237\) 2.84761 9.16038i 0.184972 0.595031i
\(238\) 8.03725 2.30026i 0.520978 0.149103i
\(239\) −18.8837 −1.22148 −0.610741 0.791830i \(-0.709128\pi\)
−0.610741 + 0.791830i \(0.709128\pi\)
\(240\) 4.55994 4.21244i 0.294343 0.271912i
\(241\) 9.49057 + 16.4382i 0.611341 + 1.05887i 0.991015 + 0.133754i \(0.0427031\pi\)
−0.379673 + 0.925121i \(0.623964\pi\)
\(242\) −9.40835 −0.604791
\(243\) 15.5567 0.994458i 0.997963 0.0637945i
\(244\) −3.27341 1.88990i −0.209558 0.120989i
\(245\) −13.2736 21.2899i −0.848017 1.36016i
\(246\) 0.516328 + 2.28526i 0.0329198 + 0.145703i
\(247\) 0.336398 2.77003i 0.0214045 0.176253i
\(248\) −7.70977 −0.489571
\(249\) −5.35118 1.66348i −0.339117 0.105419i
\(250\) −8.83348 5.10001i −0.558678 0.322553i
\(251\) 2.20065 + 3.81164i 0.138904 + 0.240588i 0.927082 0.374859i \(-0.122309\pi\)
−0.788178 + 0.615447i \(0.788975\pi\)
\(252\) −1.57349 7.77972i −0.0991208 0.490077i
\(253\) −9.19240 + 5.30724i −0.577921 + 0.333663i
\(254\) −5.41129 9.37263i −0.339535 0.588091i
\(255\) −4.32290 19.1331i −0.270710 1.19816i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 4.37736 7.58182i 0.273052 0.472941i −0.696589 0.717470i \(-0.745300\pi\)
0.969642 + 0.244529i \(0.0786334\pi\)
\(258\) −0.128572 + 0.413600i −0.00800456 + 0.0257496i
\(259\) 1.25681 + 0.314031i 0.0780943 + 0.0195130i
\(260\) 12.8285 + 1.55791i 0.795588 + 0.0966177i
\(261\) 10.0713 + 21.1500i 0.623396 + 1.30915i
\(262\) −6.80645 + 11.7891i −0.420504 + 0.728334i
\(263\) 10.3649 + 5.98418i 0.639128 + 0.369000i 0.784278 0.620409i \(-0.213033\pi\)
−0.145151 + 0.989410i \(0.546367\pi\)
\(264\) 1.48278 + 1.60510i 0.0912586 + 0.0987869i
\(265\) −43.6293 −2.68013
\(266\) 1.96855 0.563396i 0.120699 0.0345441i
\(267\) −8.37070 + 7.73279i −0.512279 + 0.473239i
\(268\) 12.1201i 0.740353i
\(269\) −1.75697 3.04316i −0.107124 0.185545i 0.807480 0.589895i \(-0.200831\pi\)
−0.914604 + 0.404350i \(0.867498\pi\)
\(270\) −18.4335 + 2.65452i −1.12183 + 0.161549i
\(271\) −1.27260 + 2.20420i −0.0773046 + 0.133896i −0.902086 0.431556i \(-0.857965\pi\)
0.824782 + 0.565452i \(0.191298\pi\)
\(272\) −3.15976 −0.191589
\(273\) 10.2227 12.9806i 0.618704 0.785624i
\(274\) 2.21278 0.133679
\(275\) 4.94922 8.57230i 0.298449 0.516929i
\(276\) −13.9157 4.32584i −0.837624 0.260385i
\(277\) −6.92333 11.9916i −0.415983 0.720503i 0.579548 0.814938i \(-0.303229\pi\)
−0.995531 + 0.0944347i \(0.969896\pi\)
\(278\) 3.37220i 0.202251i
\(279\) 19.0530 + 13.1129i 1.14067 + 0.785047i
\(280\) 2.60918 + 9.11666i 0.155928 + 0.544824i
\(281\) 15.0793 0.899556 0.449778 0.893140i \(-0.351503\pi\)
0.449778 + 0.893140i \(0.351503\pi\)
\(282\) 13.8891 12.8306i 0.827083 0.764053i
\(283\) −2.40604 1.38913i −0.143024 0.0825752i 0.426780 0.904355i \(-0.359648\pi\)
−0.569805 + 0.821780i \(0.692981\pi\)
\(284\) −0.0759653 + 0.131576i −0.00450771 + 0.00780758i
\(285\) −1.05880 4.68623i −0.0627177 0.277588i
\(286\) −0.548385 + 4.51562i −0.0324267 + 0.267014i
\(287\) −3.47204 0.867538i −0.204948 0.0512092i
\(288\) −0.237306 + 2.99060i −0.0139834 + 0.176223i
\(289\) 3.50796 6.07596i 0.206351 0.357410i
\(290\) −13.9933 24.2370i −0.821712 1.42325i
\(291\) −7.48096 + 1.69023i −0.438542 + 0.0990833i
\(292\) 5.18036 + 8.97264i 0.303158 + 0.525084i
\(293\) −3.84106 + 2.21763i −0.224397 + 0.129556i −0.607985 0.793949i \(-0.708022\pi\)
0.383588 + 0.923504i \(0.374688\pi\)
\(294\) 11.6932 + 3.20466i 0.681959 + 0.186899i
\(295\) −21.5977 37.4083i −1.25746 2.17799i
\(296\) −0.424035 0.244817i −0.0246465 0.0142297i
\(297\) −0.934392 6.48857i −0.0542189 0.376505i
\(298\) 5.34456 0.309602
\(299\) −11.8898 27.9079i −0.687605 1.61396i
\(300\) 13.2554 2.99489i 0.765299 0.172910i
\(301\) −0.475688 0.459830i −0.0274182 0.0265042i
\(302\) −11.4874 6.63223i −0.661024 0.381642i
\(303\) −1.15296 1.24808i −0.0662361 0.0717001i
\(304\) −0.773913 −0.0443869
\(305\) −6.77363 11.7323i −0.387857 0.671788i
\(306\) 7.80866 + 5.37416i 0.446391 + 0.307220i
\(307\) 18.1869 1.03798 0.518990 0.854780i \(-0.326308\pi\)
0.518990 + 0.854780i \(0.326308\pi\)
\(308\) −3.20906 + 0.918431i −0.182853 + 0.0523325i
\(309\) −25.9387 8.06335i −1.47560 0.458708i
\(310\) −23.9306 13.8164i −1.35917 0.784716i
\(311\) 7.71151 0.437279 0.218640 0.975806i \(-0.429838\pi\)
0.218640 + 0.975806i \(0.429838\pi\)
\(312\) −5.06463 + 3.65371i −0.286728 + 0.206850i
\(313\) 15.8942i 0.898391i −0.893433 0.449196i \(-0.851711\pi\)
0.893433 0.449196i \(-0.148289\pi\)
\(314\) −5.04941 2.91528i −0.284955 0.164519i
\(315\) 9.05770 26.9676i 0.510344 1.51945i
\(316\) −2.76920 4.79639i −0.155780 0.269818i
\(317\) 6.00739 0.337409 0.168704 0.985667i \(-0.446042\pi\)
0.168704 + 0.985667i \(0.446042\pi\)
\(318\) 15.4872 14.3070i 0.868479 0.802295i
\(319\) 8.53142 4.92562i 0.477668 0.275782i
\(320\) 3.58412i 0.200358i
\(321\) 6.25041 5.77409i 0.348864 0.322278i
\(322\) 15.4711 16.0046i 0.862170 0.891903i
\(323\) −1.22269 + 2.11776i −0.0680322 + 0.117835i
\(324\) 5.67290 6.98700i 0.315161 0.388167i
\(325\) 22.6149 + 16.9947i 1.25445 + 0.942697i
\(326\) 18.6770i 1.03443i
\(327\) 9.90993 + 3.08062i 0.548021 + 0.170359i
\(328\) 1.17143 + 0.676327i 0.0646815 + 0.0373439i
\(329\) 7.94728 + 27.7683i 0.438148 + 1.53092i
\(330\) 1.72602 + 7.63934i 0.0950142 + 0.420532i
\(331\) −14.2730 + 8.24050i −0.784513 + 0.452939i −0.838027 0.545628i \(-0.816291\pi\)
0.0535143 + 0.998567i \(0.482958\pi\)
\(332\) −2.80189 + 1.61767i −0.153773 + 0.0887811i
\(333\) 0.631522 + 1.32621i 0.0346072 + 0.0726761i
\(334\) 2.79787 1.61535i 0.153092 0.0883880i
\(335\) −21.7199 + 37.6200i −1.18669 + 2.05540i
\(336\) −3.91573 2.38056i −0.213621 0.129870i
\(337\) −28.6451 −1.56040 −0.780200 0.625530i \(-0.784883\pi\)
−0.780200 + 0.625530i \(0.784883\pi\)
\(338\) −12.6221 3.11160i −0.686553 0.169249i
\(339\) 6.05781 + 26.8118i 0.329015 + 1.45622i
\(340\) −9.80769 5.66247i −0.531897 0.307091i
\(341\) 4.86335 8.42357i 0.263365 0.456162i
\(342\) 1.91256 + 1.31628i 0.103419 + 0.0711763i
\(343\) −12.4133 + 13.7445i −0.670255 + 0.742131i
\(344\) 0.125032 + 0.216561i 0.00674126 + 0.0116762i
\(345\) −35.4411 38.3648i −1.90809 2.06549i
\(346\) −14.0414 −0.754869
\(347\) 18.8271 10.8698i 1.01069 0.583522i 0.0992964 0.995058i \(-0.468341\pi\)
0.911394 + 0.411536i \(0.135007\pi\)
\(348\) 12.9150 + 4.01479i 0.692319 + 0.215216i
\(349\) 13.3083 23.0507i 0.712377 1.23387i −0.251585 0.967835i \(-0.580952\pi\)
0.963962 0.266038i \(-0.0857147\pi\)
\(350\) −5.03205 + 20.1391i −0.268974 + 1.07648i
\(351\) 18.7304 0.415364i 0.999754 0.0221705i
\(352\) 1.26161 0.0672439
\(353\) −22.2718 12.8586i −1.18541 0.684396i −0.228149 0.973626i \(-0.573267\pi\)
−0.957259 + 0.289231i \(0.906601\pi\)
\(354\) 19.9335 + 6.19657i 1.05946 + 0.329344i
\(355\) −0.471583 + 0.272268i −0.0250290 + 0.0144505i
\(356\) 6.57938i 0.348706i
\(357\) −12.7006 + 6.95414i −0.672188 + 0.368052i
\(358\) −7.80209 + 4.50454i −0.412353 + 0.238072i
\(359\) −9.32911 −0.492372 −0.246186 0.969223i \(-0.579177\pi\)
−0.246186 + 0.969223i \(0.579177\pi\)
\(360\) −6.09591 + 8.85737i −0.321283 + 0.466824i
\(361\) 9.20053 15.9358i 0.484238 0.838726i
\(362\) 12.1097 + 6.99153i 0.636470 + 0.367466i
\(363\) 15.8951 3.59130i 0.834275 0.188494i
\(364\) −1.50000 9.42072i −0.0786213 0.493780i
\(365\) 37.1340i 1.94368i
\(366\) 6.25171 + 1.94342i 0.326782 + 0.101584i
\(367\) −8.31827 4.80255i −0.434210 0.250691i 0.266928 0.963716i \(-0.413991\pi\)
−0.701139 + 0.713025i \(0.747325\pi\)
\(368\) −7.28626 + 4.20672i −0.379822 + 0.219291i
\(369\) −1.74464 3.66378i −0.0908221 0.190729i
\(370\) −0.877451 1.51979i −0.0456165 0.0790101i
\(371\) 8.86173 + 30.9635i 0.460078 + 1.60754i
\(372\) 13.0254 2.94293i 0.675335 0.152584i
\(373\) 8.44383 + 14.6251i 0.437205 + 0.757262i 0.997473 0.0710501i \(-0.0226350\pi\)
−0.560268 + 0.828312i \(0.689302\pi\)
\(374\) 1.99319 3.45230i 0.103065 0.178514i
\(375\) 16.8706 + 5.24443i 0.871195 + 0.270821i
\(376\) 10.9168i 0.562993i
\(377\) 11.0349 + 25.9012i 0.568325 + 1.33398i
\(378\) 5.62800 + 12.5430i 0.289473 + 0.645140i
\(379\) 25.2872 + 14.5996i 1.29892 + 0.749930i 0.980217 0.197925i \(-0.0634203\pi\)
0.318700 + 0.947856i \(0.396754\pi\)
\(380\) −2.40218 1.38690i −0.123229 0.0711463i
\(381\) 12.7199 + 13.7692i 0.651658 + 0.705416i
\(382\) 22.5841i 1.15551i
\(383\) 7.31222 4.22171i 0.373637 0.215719i −0.301409 0.953495i \(-0.597457\pi\)
0.675046 + 0.737775i \(0.264124\pi\)
\(384\) 1.17531 + 1.27226i 0.0599771 + 0.0649249i
\(385\) −11.6066 2.90007i −0.591527 0.147801i
\(386\) 6.75717 3.90126i 0.343931 0.198569i
\(387\) 0.0593415 0.747840i 0.00301650 0.0380149i
\(388\) −2.21400 + 3.83477i −0.112399 + 0.194681i
\(389\) 0.653576i 0.0331376i −0.999863 0.0165688i \(-0.994726\pi\)
0.999863 0.0165688i \(-0.00527425\pi\)
\(390\) −22.2679 + 2.26477i −1.12758 + 0.114681i
\(391\) 26.5845i 1.34443i
\(392\) 5.94008 3.70344i 0.300019 0.187052i
\(393\) 6.99918 22.5154i 0.353062 1.13575i
\(394\) 8.91140 + 15.4350i 0.448950 + 0.777604i
\(395\) 19.8503i 0.998775i
\(396\) −3.11779 2.14576i −0.156675 0.107828i
\(397\) −2.51686 4.35932i −0.126317 0.218788i 0.795930 0.605389i \(-0.206982\pi\)
−0.922247 + 0.386601i \(0.873649\pi\)
\(398\) 10.3588i 0.519240i
\(399\) −3.11073 + 1.70326i −0.155731 + 0.0852697i
\(400\) 3.92295 6.79475i 0.196147 0.339737i
\(401\) −10.4095 + 18.0297i −0.519824 + 0.900361i 0.479911 + 0.877317i \(0.340669\pi\)
−0.999734 + 0.0230440i \(0.992664\pi\)
\(402\) −4.62642 20.4765i −0.230745 1.02127i
\(403\) 22.2225 + 16.6998i 1.10698 + 0.831878i
\(404\) −0.980990 −0.0488061
\(405\) 30.1294 11.5211i 1.49714 0.572486i
\(406\) −14.3586 + 14.8538i −0.712608 + 0.737182i
\(407\) 0.534966 0.308863i 0.0265173 0.0153097i
\(408\) 5.33831 1.20613i 0.264286 0.0597121i
\(409\) −14.6945 25.4516i −0.726594 1.25850i −0.958314 0.285716i \(-0.907769\pi\)
0.231720 0.972783i \(-0.425565\pi\)
\(410\) 2.42403 + 4.19855i 0.119715 + 0.207352i
\(411\) −3.73841 + 0.844649i −0.184402 + 0.0416635i
\(412\) −13.5815 + 7.84131i −0.669115 + 0.386314i
\(413\) −22.1616 + 22.9259i −1.09050 + 1.12811i
\(414\) 25.1613 + 1.99656i 1.23661 + 0.0981255i
\(415\) −11.5958 −0.569217
\(416\) −0.434672 + 3.57925i −0.0213115 + 0.175487i
\(417\) −1.28722 5.69722i −0.0630353 0.278994i
\(418\) 0.488187 0.845565i 0.0238780 0.0413579i
\(419\) −11.2918 + 19.5580i −0.551640 + 0.955469i 0.446516 + 0.894776i \(0.352665\pi\)
−0.998156 + 0.0606934i \(0.980669\pi\)
\(420\) −7.88808 14.4063i −0.384899 0.702956i
\(421\) 28.5241i 1.39018i −0.718922 0.695091i \(-0.755364\pi\)
0.718922 0.695091i \(-0.244636\pi\)
\(422\) −1.30125 2.25382i −0.0633436 0.109714i
\(423\) −18.5675 + 26.9786i −0.902782 + 1.31174i
\(424\) 12.1730i 0.591171i
\(425\) −12.3956 21.4698i −0.601274 1.04144i
\(426\) 0.0781164 0.251290i 0.00378475 0.0121750i
\(427\) −6.95050 + 7.19019i −0.336358 + 0.347958i
\(428\) 4.91283i 0.237471i
\(429\) −0.797198 7.83830i −0.0384891 0.378437i
\(430\) 0.896257i 0.0432214i
\(431\) 3.76847 6.52718i 0.181521 0.314403i −0.760878 0.648895i \(-0.775231\pi\)
0.942399 + 0.334492i \(0.108565\pi\)
\(432\) −0.740636 5.14310i −0.0356338 0.247447i
\(433\) −28.3474 + 16.3664i −1.36229 + 0.786518i −0.989928 0.141570i \(-0.954785\pi\)
−0.372361 + 0.928088i \(0.621452\pi\)
\(434\) −4.94474 + 19.7897i −0.237355 + 0.949937i
\(435\) 32.8927 + 35.6062i 1.57709 + 1.70719i
\(436\) 5.18886 2.99579i 0.248501 0.143472i
\(437\) 6.51127i 0.311476i
\(438\) −12.1770 13.1816i −0.581841 0.629839i
\(439\) 21.2278 + 12.2559i 1.01315 + 0.584940i 0.912111 0.409943i \(-0.134451\pi\)
0.101035 + 0.994883i \(0.467785\pi\)
\(440\) 3.91595 + 2.26088i 0.186686 + 0.107783i
\(441\) −20.9785 0.950704i −0.998975 0.0452716i
\(442\) 9.10766 + 6.84424i 0.433207 + 0.325547i
\(443\) 10.7332i 0.509951i 0.966948 + 0.254975i \(0.0820674\pi\)
−0.966948 + 0.254975i \(0.917933\pi\)
\(444\) 0.809842 + 0.251749i 0.0384334 + 0.0119475i
\(445\) −11.7906 + 20.4220i −0.558930 + 0.968095i
\(446\) −6.59396 11.4211i −0.312233 0.540803i
\(447\) −9.02945 + 2.04010i −0.427078 + 0.0964932i
\(448\) −2.54363 + 0.727985i −0.120175 + 0.0343940i
\(449\) 19.7420 + 34.1941i 0.931683 + 1.61372i 0.780445 + 0.625224i \(0.214992\pi\)
0.151237 + 0.988497i \(0.451674\pi\)
\(450\) −21.2513 + 10.1195i −1.00180 + 0.477040i
\(451\) −1.47789 + 0.853259i −0.0695910 + 0.0401784i
\(452\) 13.7438 + 7.93500i 0.646455 + 0.373231i
\(453\) 21.9391 + 6.82004i 1.03079 + 0.320433i
\(454\) 22.6016i 1.06075i
\(455\) 12.2266 31.9294i 0.573191 1.49687i
\(456\) 1.30750 0.295414i 0.0612292 0.0138340i
\(457\) 9.89907 + 5.71523i 0.463059 + 0.267347i 0.713330 0.700829i \(-0.247186\pi\)
−0.250271 + 0.968176i \(0.580520\pi\)
\(458\) 0.228853 0.396385i 0.0106936 0.0185219i
\(459\) −15.2439 6.09878i −0.711522 0.284667i
\(460\) −30.1548 −1.40597
\(461\) 8.42605 4.86478i 0.392440 0.226576i −0.290777 0.956791i \(-0.593914\pi\)
0.683217 + 0.730215i \(0.260580\pi\)
\(462\) 5.07102 2.77660i 0.235925 0.129179i
\(463\) 26.6572i 1.23887i 0.785050 + 0.619433i \(0.212637\pi\)
−0.785050 + 0.619433i \(0.787363\pi\)
\(464\) 6.76234 3.90424i 0.313934 0.181250i
\(465\) 45.7039 + 14.2076i 2.11947 + 0.658861i
\(466\) 13.6067 + 7.85585i 0.630319 + 0.363915i
\(467\) −6.02179 −0.278655 −0.139328 0.990246i \(-0.544494\pi\)
−0.139328 + 0.990246i \(0.544494\pi\)
\(468\) 7.16184 8.10605i 0.331056 0.374702i
\(469\) 31.1103 + 7.77335i 1.43654 + 0.358940i
\(470\) 19.5636 33.8851i 0.902402 1.56301i
\(471\) 9.64361 + 2.99783i 0.444354 + 0.138133i
\(472\) 10.4372 6.02594i 0.480412 0.277366i
\(473\) −0.315482 −0.0145059
\(474\) 6.50932 + 7.04630i 0.298983 + 0.323647i
\(475\) −3.03602 5.25854i −0.139302 0.241278i
\(476\) −2.02654 + 8.11059i −0.0928865 + 0.371748i
\(477\) −20.7039 + 30.0828i −0.947968 + 1.37740i
\(478\) 9.44183 16.3537i 0.431859 0.748002i
\(479\) 7.74812 + 4.47338i 0.354021 + 0.204394i 0.666455 0.745546i \(-0.267811\pi\)
−0.312434 + 0.949939i \(0.601144\pi\)
\(480\) 1.36811 + 6.05524i 0.0624454 + 0.276383i
\(481\) 0.691945 + 1.62414i 0.0315500 + 0.0740545i
\(482\) −18.9811 −0.864567
\(483\) −20.0287 + 32.9448i −0.911337 + 1.49904i
\(484\) 4.70417 8.14787i 0.213826 0.370358i
\(485\) −13.7442 + 7.93525i −0.624094 + 0.360321i
\(486\) −6.91713 + 13.9697i −0.313767 + 0.633680i
\(487\) 25.3833 14.6550i 1.15023 0.664083i 0.201284 0.979533i \(-0.435489\pi\)
0.948942 + 0.315450i \(0.102155\pi\)
\(488\) 3.27341 1.88990i 0.148180 0.0855518i
\(489\) −7.12930 31.5542i −0.322398 1.42693i
\(490\) 25.0744 0.850285i 1.13275 0.0384120i
\(491\) 5.50320 + 3.17727i 0.248356 + 0.143388i 0.619011 0.785382i \(-0.287534\pi\)
−0.370655 + 0.928770i \(0.620867\pi\)
\(492\) −2.23726 0.695478i −0.100863 0.0313546i
\(493\) 24.6729i 1.11121i
\(494\) 2.23072 + 1.67634i 0.100365 + 0.0754223i
\(495\) −5.83210 12.2476i −0.262133 0.550487i
\(496\) 3.85488 6.67685i 0.173089 0.299800i
\(497\) 0.289012 + 0.279378i 0.0129640 + 0.0125318i
\(498\) 4.11620 3.80252i 0.184451 0.170395i
\(499\) 5.92485i 0.265233i 0.991167 + 0.132616i \(0.0423378\pi\)
−0.991167 + 0.132616i \(0.957662\pi\)
\(500\) 8.83348 5.10001i 0.395045 0.228080i
\(501\) −4.11030 + 3.79706i −0.183635 + 0.169640i
\(502\) −4.40130 −0.196440
\(503\) −19.6190 33.9811i −0.874767 1.51514i −0.857011 0.515298i \(-0.827681\pi\)
−0.0177557 0.999842i \(-0.505652\pi\)
\(504\) 7.52419 + 2.52718i 0.335154 + 0.112569i
\(505\) −3.04493 1.75799i −0.135498 0.0782296i
\(506\) 10.6145i 0.471871i
\(507\) 22.5124 + 0.438896i 0.999810 + 0.0194921i
\(508\) 10.8226 0.480174
\(509\) 8.72379 + 5.03668i 0.386675 + 0.223247i 0.680718 0.732545i \(-0.261668\pi\)
−0.294043 + 0.955792i \(0.595001\pi\)
\(510\) 18.7312 + 5.82282i 0.829432 + 0.257839i
\(511\) 26.3538 7.54244i 1.16582 0.333658i
\(512\) 1.00000 0.0441942
\(513\) −3.73364 1.49376i −0.164844 0.0659511i
\(514\) 4.37736 + 7.58182i 0.193077 + 0.334420i
\(515\) −56.2083 −2.47684
\(516\) −0.293902 0.318147i −0.0129383 0.0140056i
\(517\) 11.9276 + 6.88638i 0.524573 + 0.302863i
\(518\) −0.900363 + 0.931413i −0.0395597 + 0.0409239i
\(519\) 23.7224 5.35980i 1.04130 0.235269i
\(520\) −7.76343 + 10.3308i −0.340449 + 0.453036i
\(521\) 12.2704 0.537578 0.268789 0.963199i \(-0.413377\pi\)
0.268789 + 0.963199i \(0.413377\pi\)
\(522\) −23.3520 1.85300i −1.02209 0.0811034i
\(523\) −12.6762 7.31862i −0.554292 0.320021i 0.196559 0.980492i \(-0.437023\pi\)
−0.750851 + 0.660471i \(0.770357\pi\)
\(524\) −6.80645 11.7891i −0.297341 0.515010i
\(525\) 0.814066 35.9452i 0.0355288 1.56878i
\(526\) −10.3649 + 5.98418i −0.451931 + 0.260923i
\(527\) −12.1805 21.0973i −0.530591 0.919011i
\(528\) −2.13144 + 0.481574i −0.0927592 + 0.0209578i
\(529\) 23.8930 + 41.3840i 1.03883 + 1.79930i
\(530\) 21.8147 37.7841i 0.947568 1.64124i
\(531\) −36.0423 2.85998i −1.56410 0.124112i
\(532\) −0.496357 + 1.98651i −0.0215198 + 0.0861261i
\(533\) −1.91156 4.48683i −0.0827987 0.194346i
\(534\) −2.51144 11.1156i −0.108681 0.481021i
\(535\) 8.80408 15.2491i 0.380634 0.659277i
\(536\) −10.4963 6.06005i −0.453372 0.261754i
\(537\) 11.4619 10.5884i 0.494618 0.456925i
\(538\) 3.51394 0.151497
\(539\) 0.299300 + 8.82618i 0.0128918 + 0.380171i
\(540\) 6.91785 17.2911i 0.297697 0.744091i
\(541\) 34.8104i 1.49661i −0.663352 0.748307i \(-0.730867\pi\)
0.663352 0.748307i \(-0.269133\pi\)
\(542\) −1.27260 2.20420i −0.0546626 0.0946785i
\(543\) −23.1276 7.18950i −0.992502 0.308531i
\(544\) 1.57988 2.73643i 0.0677368 0.117324i
\(545\) 21.4745 0.919867
\(546\) 6.13022 + 15.3434i 0.262349 + 0.656638i
\(547\) −27.0523 −1.15667 −0.578336 0.815799i \(-0.696298\pi\)
−0.578336 + 0.815799i \(0.696298\pi\)
\(548\) −1.10639 + 1.91632i −0.0472626 + 0.0818612i
\(549\) −11.3039 0.896968i −0.482438 0.0382817i
\(550\) 4.94922 + 8.57230i 0.211036 + 0.365524i
\(551\) 6.04308i 0.257444i
\(552\) 10.7041 9.88839i 0.455597 0.420878i
\(553\) −14.0876 + 4.03187i −0.599066 + 0.171452i
\(554\) 13.8467 0.588288
\(555\) 2.06255 + 2.23270i 0.0875504 + 0.0947727i
\(556\) −2.92041 1.68610i −0.123853 0.0715066i
\(557\) 6.46740 11.2019i 0.274032 0.474638i −0.695858 0.718179i \(-0.744976\pi\)
0.969891 + 0.243541i \(0.0783091\pi\)
\(558\) −20.8826 + 9.94396i −0.884030 + 0.420961i
\(559\) 0.108696 0.895041i 0.00459733 0.0378562i
\(560\) −9.19985 2.29871i −0.388765 0.0971383i
\(561\) −2.04963 + 6.59338i −0.0865354 + 0.278373i
\(562\) −7.53965 + 13.0591i −0.318041 + 0.550863i
\(563\) 2.33044 + 4.03644i 0.0982162 + 0.170115i 0.910946 0.412525i \(-0.135353\pi\)
−0.812730 + 0.582640i \(0.802020\pi\)
\(564\) 4.16711 + 18.4436i 0.175467 + 0.776616i
\(565\) 28.4400 + 49.2595i 1.19648 + 2.07236i
\(566\) 2.40604 1.38913i 0.101134 0.0583895i
\(567\) −14.2961 19.0426i −0.600381 0.799714i
\(568\) −0.0759653 0.131576i −0.00318743 0.00552080i
\(569\) 13.1884 + 7.61435i 0.552888 + 0.319210i 0.750286 0.661113i \(-0.229916\pi\)
−0.197398 + 0.980323i \(0.563249\pi\)
\(570\) 4.58779 + 1.42617i 0.192161 + 0.0597357i
\(571\) 35.0542 1.46697 0.733487 0.679703i \(-0.237891\pi\)
0.733487 + 0.679703i \(0.237891\pi\)
\(572\) −3.63645 2.73272i −0.152047 0.114261i
\(573\) −8.62070 38.1551i −0.360135 1.59395i
\(574\) 2.48733 2.57311i 0.103819 0.107399i
\(575\) −57.1672 33.0055i −2.38404 1.37643i
\(576\) −2.47128 1.70081i −0.102970 0.0708672i
\(577\) 9.20999 0.383417 0.191709 0.981452i \(-0.438597\pi\)
0.191709 + 0.981452i \(0.438597\pi\)
\(578\) 3.50796 + 6.07596i 0.145912 + 0.252727i
\(579\) −9.92685 + 9.17035i −0.412546 + 0.381107i
\(580\) 27.9865 1.16208
\(581\) 2.35528 + 8.22949i 0.0977133 + 0.341417i
\(582\) 2.27670 7.32382i 0.0943721 0.303582i
\(583\) 13.3000 + 7.67875i 0.550829 + 0.318021i
\(584\) −10.3607 −0.428730
\(585\) 36.7564 12.3262i 1.51969 0.509627i
\(586\) 4.43527i 0.183219i
\(587\) −2.67162 1.54246i −0.110270 0.0636642i 0.443851 0.896101i \(-0.353612\pi\)
−0.554120 + 0.832436i \(0.686945\pi\)
\(588\) −8.62190 + 8.52425i −0.355561 + 0.351534i
\(589\) −2.98334 5.16730i −0.122926 0.212915i
\(590\) 43.1953 1.77832
\(591\) −20.9473 22.6753i −0.861656 0.932737i
\(592\) 0.424035 0.244817i 0.0174277 0.0100619i
\(593\) 6.04376i 0.248187i −0.992271 0.124094i \(-0.960398\pi\)
0.992271 0.124094i \(-0.0396023\pi\)
\(594\) 6.08647 + 2.43508i 0.249731 + 0.0999125i
\(595\) −20.8249 + 21.5431i −0.853739 + 0.883180i
\(596\) −2.67228 + 4.62852i −0.109461 + 0.189592i
\(597\) −3.95411 17.5009i −0.161831 0.716262i
\(598\) 30.1139 + 3.65709i 1.23145 + 0.149549i
\(599\) 14.1048i 0.576307i −0.957584 0.288154i \(-0.906959\pi\)
0.957584 0.288154i \(-0.0930414\pi\)
\(600\) −4.03403 + 12.9769i −0.164689 + 0.529781i
\(601\) −18.7865 10.8464i −0.766319 0.442435i 0.0652409 0.997870i \(-0.479218\pi\)
−0.831560 + 0.555435i \(0.812552\pi\)
\(602\) 0.636069 0.182042i 0.0259242 0.00741950i
\(603\) 15.6324 + 32.8284i 0.636599 + 1.33687i
\(604\) 11.4874 6.63223i 0.467414 0.269862i
\(605\) 29.2029 16.8603i 1.18727 0.685469i
\(606\) 1.65735 0.374458i 0.0673252 0.0152113i
\(607\) 17.4314 10.0640i 0.707518 0.408486i −0.102623 0.994720i \(-0.532724\pi\)
0.810141 + 0.586235i \(0.199390\pi\)
\(608\) 0.386956 0.670228i 0.0156932 0.0271813i
\(609\) 18.5885 30.5759i 0.753245 1.23900i
\(610\) 13.5473 0.548512
\(611\) −23.6466 + 31.4666i −0.956637 + 1.27300i
\(612\) −8.55849 + 4.07542i −0.345956 + 0.164739i
\(613\) 25.1943 + 14.5459i 1.01759 + 0.587505i 0.913404 0.407053i \(-0.133444\pi\)
0.104184 + 0.994558i \(0.466777\pi\)
\(614\) −9.09344 + 15.7503i −0.366981 + 0.635630i
\(615\) −5.69797 6.16802i −0.229764 0.248719i
\(616\) 0.809145 3.23834i 0.0326014 0.130477i
\(617\) 12.2531 + 21.2230i 0.493292 + 0.854407i 0.999970 0.00772817i \(-0.00245998\pi\)
−0.506678 + 0.862135i \(0.669127\pi\)
\(618\) 19.9524 18.4319i 0.802604 0.741440i
\(619\) −36.1887 −1.45455 −0.727273 0.686349i \(-0.759212\pi\)
−0.727273 + 0.686349i \(0.759212\pi\)
\(620\) 23.9306 13.8164i 0.961077 0.554878i
\(621\) −43.2712 + 6.23130i −1.73641 + 0.250053i
\(622\) −3.85575 + 6.67836i −0.154602 + 0.267778i
\(623\) 16.8882 + 4.21975i 0.676612 + 0.169061i
\(624\) −0.631890 6.21295i −0.0252959 0.248717i
\(625\) −2.67139 −0.106856
\(626\) 13.7648 + 7.94708i 0.550150 + 0.317629i
\(627\) −0.502011 + 1.61490i −0.0200484 + 0.0644929i
\(628\) 5.04941 2.91528i 0.201493 0.116332i
\(629\) 1.54712i 0.0616878i
\(630\) 18.8257 + 21.3280i 0.750036 + 0.849727i
\(631\) 10.9062 6.29670i 0.434169 0.250668i −0.266952 0.963710i \(-0.586017\pi\)
0.701121 + 0.713042i \(0.252683\pi\)
\(632\) 5.53840 0.220306
\(633\) 3.05873 + 3.31105i 0.121573 + 0.131603i
\(634\) −3.00370 + 5.20256i −0.119292 + 0.206620i
\(635\) 33.5926 + 19.3947i 1.33308 + 0.769655i
\(636\) 4.64660 + 20.5658i 0.184250 + 0.815487i
\(637\) −25.1435 2.19182i −0.996222 0.0868432i
\(638\) 9.85124i 0.390014i
\(639\) −0.0360540 + 0.454364i −0.00142627 + 0.0179743i
\(640\) 3.10394 + 1.79206i 0.122694 + 0.0708373i
\(641\) −6.51225 + 3.75985i −0.257218 + 0.148505i −0.623065 0.782170i \(-0.714113\pi\)
0.365847 + 0.930675i \(0.380779\pi\)
\(642\) 1.87530 + 8.30006i 0.0740121 + 0.327577i
\(643\) 4.12995 + 7.15328i 0.162869 + 0.282098i 0.935897 0.352275i \(-0.114592\pi\)
−0.773027 + 0.634373i \(0.781258\pi\)
\(644\) 6.12486 + 21.4007i 0.241353 + 0.843305i
\(645\) −0.342114 1.51420i −0.0134707 0.0596214i
\(646\) −1.22269 2.11776i −0.0481061 0.0833221i
\(647\) −14.7602 + 25.5654i −0.580284 + 1.00508i 0.415161 + 0.909748i \(0.363725\pi\)
−0.995445 + 0.0953335i \(0.969608\pi\)
\(648\) 3.21447 + 8.40638i 0.126276 + 0.330234i
\(649\) 15.2047i 0.596838i
\(650\) −26.0253 + 11.0877i −1.02080 + 0.434897i
\(651\) 0.799942 35.3215i 0.0313522 1.38436i
\(652\) −16.1748 9.33852i −0.633454 0.365725i
\(653\) −4.09902 2.36657i −0.160407 0.0926111i 0.417648 0.908609i \(-0.362855\pi\)
−0.578055 + 0.815998i \(0.696188\pi\)
\(654\) −7.62286 + 7.04194i −0.298077 + 0.275362i
\(655\) 48.7902i 1.90639i
\(656\) −1.17143 + 0.676327i −0.0457368 + 0.0264061i
\(657\) 25.6043 + 17.6216i 0.998917 + 0.687486i
\(658\) −28.0217 7.00162i −1.09240 0.272952i
\(659\) −37.4903 + 21.6450i −1.46042 + 0.843171i −0.999030 0.0440285i \(-0.985981\pi\)
−0.461385 + 0.887200i \(0.652647\pi\)
\(660\) −7.47887 2.32490i −0.291115 0.0904964i
\(661\) −18.6135 + 32.2396i −0.723982 + 1.25397i 0.235409 + 0.971896i \(0.424357\pi\)
−0.959392 + 0.282078i \(0.908976\pi\)
\(662\) 16.4810i 0.640552i
\(663\) −17.9996 8.08659i −0.699047 0.314057i
\(664\) 3.23534i 0.125555i
\(665\) −5.10060 + 5.27650i −0.197793 + 0.204614i
\(666\) −1.46430 0.116193i −0.0567403 0.00450238i
\(667\) −32.8481 56.8946i −1.27188 2.20297i
\(668\) 3.23070i 0.124999i
\(669\) 15.4999 + 16.7785i 0.599259 + 0.648694i
\(670\) −21.7199 37.6200i −0.839114 1.45339i
\(671\) 4.76863i 0.184091i
\(672\) 4.01949 2.20084i 0.155055 0.0848994i
\(673\) 9.00579 15.5985i 0.347148 0.601277i −0.638594 0.769544i \(-0.720484\pi\)
0.985742 + 0.168267i \(0.0538170\pi\)
\(674\) 14.3226 24.8074i 0.551685 0.955546i
\(675\) 32.0406 25.2085i 1.23324 0.970277i
\(676\) 9.00579 9.37528i 0.346376 0.360588i
\(677\) −43.2431 −1.66197 −0.830984 0.556296i \(-0.812222\pi\)
−0.830984 + 0.556296i \(0.812222\pi\)
\(678\) −26.2486 8.15969i −1.00807 0.313371i
\(679\) 8.42325 + 8.14245i 0.323255 + 0.312479i
\(680\) 9.80769 5.66247i 0.376108 0.217146i
\(681\) 8.62736 + 38.1846i 0.330601 + 1.46324i
\(682\) 4.86335 + 8.42357i 0.186227 + 0.322555i
\(683\) 9.67584 + 16.7591i 0.370236 + 0.641267i 0.989602 0.143835i \(-0.0459435\pi\)
−0.619366 + 0.785103i \(0.712610\pi\)
\(684\) −2.09621 + 0.998183i −0.0801506 + 0.0381665i
\(685\) −6.86832 + 3.96543i −0.262425 + 0.151511i
\(686\) −5.69641 17.6225i −0.217490 0.672828i
\(687\) −0.235334 + 0.757036i −0.00897854 + 0.0288827i
\(688\) −0.250064 −0.00953359
\(689\) −26.3674 + 35.0872i −1.00452 + 1.33672i
\(690\) 50.9455 11.5105i 1.93946 0.438198i
\(691\) 0.643698 1.11492i 0.0244874 0.0424135i −0.853522 0.521057i \(-0.825538\pi\)
0.878009 + 0.478643i \(0.158871\pi\)
\(692\) 7.02069 12.1602i 0.266887 0.462261i
\(693\) −7.50744 + 6.62666i −0.285184 + 0.251726i
\(694\) 21.7396i 0.825225i
\(695\) −6.04318 10.4671i −0.229231 0.397040i
\(696\) −9.93444 + 9.17736i −0.376564 + 0.347867i
\(697\) 4.27406i 0.161892i
\(698\) 13.3083 + 23.0507i 0.503727 + 0.872480i
\(699\) −25.9868 8.07830i −0.982911 0.305549i
\(700\) −14.9250 14.4275i −0.564112 0.545306i
\(701\) 9.09155i 0.343383i −0.985151 0.171692i \(-0.945077\pi\)
0.985151 0.171692i \(-0.0549232\pi\)
\(702\) −9.00548 + 16.4287i −0.339890 + 0.620060i
\(703\) 0.378933i 0.0142917i
\(704\) −0.630804 + 1.09258i −0.0237743 + 0.0411783i
\(705\) −20.1176 + 64.7155i −0.757672 + 2.43733i
\(706\) 22.2718 12.8586i 0.838210 0.483941i
\(707\) −0.629168 + 2.51804i −0.0236623 + 0.0947007i
\(708\) −15.3332 + 14.1647i −0.576255 + 0.532340i
\(709\) −32.1245 + 18.5471i −1.20646 + 0.696550i −0.961984 0.273106i \(-0.911949\pi\)
−0.244475 + 0.969655i \(0.578616\pi\)
\(710\) 0.544537i 0.0204361i
\(711\) −13.6869 9.41978i −0.513301 0.353269i
\(712\) −5.69791 3.28969i −0.213538 0.123286i
\(713\) −56.1753 32.4329i −2.10378 1.21462i
\(714\) 0.327847 14.4761i 0.0122694 0.541755i
\(715\) −6.39009 14.9989i −0.238976 0.560928i
\(716\) 9.00908i 0.336685i
\(717\) −9.70919 + 31.2331i −0.362596 + 1.16642i
\(718\) 4.66456 8.07925i 0.174080 0.301515i
\(719\) 19.1457 + 33.1613i 0.714013 + 1.23671i 0.963339 + 0.268288i \(0.0864578\pi\)
−0.249325 + 0.968420i \(0.580209\pi\)
\(720\) −4.62275 9.70790i −0.172280 0.361792i
\(721\) 11.4167 + 39.8907i 0.425180 + 1.48561i
\(722\) 9.20053 + 15.9358i 0.342408 + 0.593068i
\(723\) 32.0680 7.24538i 1.19262 0.269459i
\(724\) −12.1097 + 6.99153i −0.450053 + 0.259838i
\(725\) 53.0566 + 30.6323i 1.97047 + 1.13765i
\(726\) −4.83738 + 15.5612i −0.179532 + 0.577530i
\(727\) 35.6262i 1.32130i −0.750693 0.660651i \(-0.770280\pi\)
0.750693 0.660651i \(-0.229720\pi\)
\(728\) 8.90858 + 3.41132i 0.330174 + 0.126432i
\(729\) 6.35380 26.2417i 0.235326 0.971917i
\(730\) −32.1590 18.5670i −1.19026 0.687196i
\(731\) −0.395070 + 0.684282i −0.0146122 + 0.0253091i
\(732\) −4.80890 + 4.44243i −0.177742 + 0.164197i
\(733\) −8.76856 −0.323874 −0.161937 0.986801i \(-0.551774\pi\)
−0.161937 + 0.986801i \(0.551774\pi\)
\(734\) 8.31827 4.80255i 0.307033 0.177266i
\(735\) −42.0378 + 11.0078i −1.55059 + 0.406029i
\(736\) 8.41345i 0.310124i
\(737\) 13.2422 7.64541i 0.487784 0.281622i
\(738\) 4.04525 + 0.320992i 0.148908 + 0.0118159i
\(739\) −5.20359 3.00429i −0.191417 0.110515i 0.401229 0.915978i \(-0.368583\pi\)
−0.592646 + 0.805463i \(0.701917\pi\)
\(740\) 1.75490 0.0645115
\(741\) −4.40861 1.98063i −0.161954 0.0727602i
\(742\) −31.2460 7.80726i −1.14708 0.286613i
\(743\) 22.9464 39.7443i 0.841821 1.45808i −0.0465322 0.998917i \(-0.514817\pi\)
0.888353 0.459160i \(-0.151850\pi\)
\(744\) −3.96404 + 12.7518i −0.145329 + 0.467503i
\(745\) −16.5892 + 9.57776i −0.607780 + 0.350902i
\(746\) −16.8877 −0.618301
\(747\) −5.50270 + 7.99544i −0.201333 + 0.292538i
\(748\) 1.99319 + 3.45230i 0.0728782 + 0.126229i
\(749\) −12.6104 3.15089i −0.460775 0.115131i
\(750\) −12.9771 + 11.9882i −0.473857 + 0.437746i
\(751\) −21.7817 + 37.7271i −0.794826 + 1.37668i 0.128123 + 0.991758i \(0.459105\pi\)
−0.922949 + 0.384921i \(0.874229\pi\)
\(752\) 9.45425 + 5.45842i 0.344761 + 0.199048i
\(753\) 7.43584 1.68004i 0.270977 0.0612241i
\(754\) −27.9485 3.39412i −1.01783 0.123607i
\(755\) 47.5414 1.73021
\(756\) −13.6765 1.39749i −0.497410 0.0508261i
\(757\) 1.39668 2.41912i 0.0507632 0.0879244i −0.839527 0.543318i \(-0.817168\pi\)
0.890290 + 0.455393i \(0.150501\pi\)
\(758\) −25.2872 + 14.5996i −0.918473 + 0.530281i
\(759\) 4.05170 + 17.9328i 0.147067 + 0.650919i
\(760\) 2.40218 1.38690i 0.0871361 0.0503080i
\(761\) 46.3396 26.7542i 1.67981 0.969839i 0.718032 0.696010i \(-0.245043\pi\)
0.961778 0.273829i \(-0.0882902\pi\)
\(762\) −18.2844 + 4.13114i −0.662373 + 0.149655i
\(763\) −4.36178 15.2403i −0.157907 0.551737i
\(764\) −19.5584 11.2921i −0.707600 0.408533i
\(765\) −33.8684 2.68747i −1.22451 0.0971658i
\(766\) 8.44343i 0.305073i
\(767\) −43.1367 5.23861i −1.55758 0.189155i
\(768\) −1.68947 + 0.381715i −0.0609633 + 0.0137739i
\(769\) −5.91403 + 10.2434i −0.213265 + 0.369386i −0.952735 0.303804i \(-0.901743\pi\)
0.739469 + 0.673190i \(0.235077\pi\)
\(770\) 8.31484 8.60158i 0.299646 0.309979i
\(771\) −10.2895 11.1383i −0.370567 0.401137i
\(772\) 7.80251i 0.280819i
\(773\) 27.7265 16.0079i 0.997251 0.575763i 0.0898175 0.995958i \(-0.471372\pi\)
0.907434 + 0.420195i \(0.138038\pi\)
\(774\) 0.617978 + 0.425311i 0.0222128