Properties

Label 546.2.bu.a.197.4
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.4
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.a.449.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.684122 + 1.59122i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.803802 + 0.803802i) q^{5} +(-1.71406 + 0.248973i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.06396 + 2.17717i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.684122 + 1.59122i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.803802 + 0.803802i) q^{5} +(-1.71406 + 0.248973i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.06396 + 2.17717i) q^{9} +(-0.984452 + 0.568374i) q^{10} +(-3.42199 - 0.916918i) q^{11} +(0.203143 - 1.72010i) q^{12} +(2.52032 + 2.57836i) q^{13} +1.00000i q^{14} +(-0.729126 + 1.82892i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-3.65463 + 6.33001i) q^{17} +(-1.56880 - 2.55712i) q^{18} +(1.28797 + 4.80679i) q^{19} +(-0.294212 - 1.09801i) q^{20} +(1.07265 + 1.35994i) q^{21} +(1.77135 - 3.06807i) q^{22} +(-0.368272 - 0.637865i) q^{23} +(1.60891 + 0.641415i) q^{24} -3.70781i q^{25} +(-3.14282 + 1.76712i) q^{26} +(-4.87636 - 1.79475i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(1.05961 - 0.611766i) q^{29} +(-1.57789 - 1.17764i) q^{30} +(2.78096 - 2.78096i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-0.882037 - 6.07241i) q^{33} +(-5.16843 - 5.16843i) q^{34} +(0.984452 + 0.568374i) q^{35} +(2.87602 - 0.853511i) q^{36} +(-0.635866 + 2.37309i) q^{37} -4.97635 q^{38} +(-2.37853 + 5.77430i) q^{39} +1.13675 q^{40} +(-1.57828 + 5.89022i) q^{41} +(-1.59122 + 0.684122i) q^{42} +(2.20536 + 1.27327i) q^{43} +(2.50507 + 2.50507i) q^{44} +(-3.40903 + 0.0910061i) q^{45} +(0.711446 - 0.190631i) q^{46} +(7.99659 - 7.99659i) q^{47} +(-1.03598 + 1.38808i) q^{48} +(0.866025 - 0.500000i) q^{49} +(3.58147 + 0.959651i) q^{50} +(-12.5726 - 1.48482i) q^{51} +(-0.893482 - 3.49309i) q^{52} -7.87957i q^{53} +(2.99569 - 4.24568i) q^{54} +(-2.01358 - 3.48762i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-6.76752 + 5.33788i) q^{57} +(0.316673 + 1.18184i) q^{58} +(0.645602 + 2.40942i) q^{59} +(1.54590 - 1.21933i) q^{60} +(-1.63757 + 2.83635i) q^{61} +(1.96644 + 3.40597i) q^{62} +(-1.43013 + 2.63718i) q^{63} -1.00000i q^{64} +(-0.0466531 + 4.09833i) q^{65} +(6.09379 + 0.719674i) q^{66} +(-1.47511 - 0.395253i) q^{67} +(6.33001 - 3.65463i) q^{68} +(0.763041 - 1.02238i) q^{69} +(-0.803802 + 0.803802i) q^{70} +(4.91302 - 1.31644i) q^{71} +(0.0800584 + 2.99893i) q^{72} +(-11.3512 - 11.3512i) q^{73} +(-2.12765 - 1.22840i) q^{74} +(5.89993 - 2.53659i) q^{75} +(1.28797 - 4.80679i) q^{76} -3.54270 q^{77} +(-4.96194 - 3.79199i) q^{78} +11.0080 q^{79} +(-0.294212 + 1.09801i) q^{80} +(-0.480179 - 8.98718i) q^{81} +(-5.28103 - 3.04900i) q^{82} +(10.0746 + 10.0746i) q^{83} +(-0.248973 - 1.71406i) q^{84} +(-8.02567 + 2.15047i) q^{85} +(-1.80067 + 1.80067i) q^{86} +(1.69836 + 1.26755i) q^{87} +(-3.06807 + 1.77135i) q^{88} +(15.9782 + 4.28134i) q^{89} +(0.794416 - 3.31642i) q^{90} +(3.10178 + 1.83820i) q^{91} +0.736543i q^{92} +(6.32763 + 2.52260i) q^{93} +(5.65444 + 9.79378i) q^{94} +(-2.82843 + 4.89898i) q^{95} +(-1.07265 - 1.35994i) q^{96} +(1.07287 + 4.00399i) q^{97} +(0.258819 + 0.965926i) q^{98} +(9.05912 - 5.55778i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 0.684122 + 1.59122i 0.394978 + 0.918691i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.803802 + 0.803802i 0.359471 + 0.359471i 0.863618 0.504147i \(-0.168193\pi\)
−0.504147 + 0.863618i \(0.668193\pi\)
\(6\) −1.71406 + 0.248973i −0.699763 + 0.101643i
\(7\) 0.965926 0.258819i 0.365086 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.06396 + 2.17717i −0.687985 + 0.725725i
\(10\) −0.984452 + 0.568374i −0.311311 + 0.179735i
\(11\) −3.42199 0.916918i −1.03177 0.276461i −0.297070 0.954856i \(-0.596009\pi\)
−0.734698 + 0.678394i \(0.762676\pi\)
\(12\) 0.203143 1.72010i 0.0586422 0.496549i
\(13\) 2.52032 + 2.57836i 0.699012 + 0.715110i
\(14\) 1.00000i 0.267261i
\(15\) −0.729126 + 1.82892i −0.188260 + 0.472226i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −3.65463 + 6.33001i −0.886378 + 1.53525i −0.0422523 + 0.999107i \(0.513453\pi\)
−0.844126 + 0.536145i \(0.819880\pi\)
\(18\) −1.56880 2.55712i −0.369769 0.602719i
\(19\) 1.28797 + 4.80679i 0.295482 + 1.10275i 0.940834 + 0.338868i \(0.110044\pi\)
−0.645352 + 0.763885i \(0.723289\pi\)
\(20\) −0.294212 1.09801i −0.0657878 0.245523i
\(21\) 1.07265 + 1.35994i 0.234071 + 0.296762i
\(22\) 1.77135 3.06807i 0.377653 0.654115i
\(23\) −0.368272 0.637865i −0.0767900 0.133004i 0.825073 0.565026i \(-0.191134\pi\)
−0.901863 + 0.432022i \(0.857800\pi\)
\(24\) 1.60891 + 0.641415i 0.328417 + 0.130928i
\(25\) 3.70781i 0.741561i
\(26\) −3.14282 + 1.76712i −0.616357 + 0.346560i
\(27\) −4.87636 1.79475i −0.938456 0.345400i
\(28\) −0.965926 0.258819i −0.182543 0.0489122i
\(29\) 1.05961 0.611766i 0.196765 0.113602i −0.398381 0.917220i \(-0.630428\pi\)
0.595145 + 0.803618i \(0.297094\pi\)
\(30\) −1.57789 1.17764i −0.288082 0.215007i
\(31\) 2.78096 2.78096i 0.499475 0.499475i −0.411799 0.911275i \(-0.635100\pi\)
0.911275 + 0.411799i \(0.135100\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −0.882037 6.07241i −0.153543 1.05707i
\(34\) −5.16843 5.16843i −0.886378 0.886378i
\(35\) 0.984452 + 0.568374i 0.166403 + 0.0960727i
\(36\) 2.87602 0.853511i 0.479337 0.142252i
\(37\) −0.635866 + 2.37309i −0.104536 + 0.390133i −0.998292 0.0584200i \(-0.981394\pi\)
0.893756 + 0.448553i \(0.148060\pi\)
\(38\) −4.97635 −0.807271
\(39\) −2.37853 + 5.77430i −0.380870 + 0.924628i
\(40\) 1.13675 0.179735
\(41\) −1.57828 + 5.89022i −0.246486 + 0.919898i 0.726145 + 0.687542i \(0.241310\pi\)
−0.972631 + 0.232356i \(0.925357\pi\)
\(42\) −1.59122 + 0.684122i −0.245530 + 0.105562i
\(43\) 2.20536 + 1.27327i 0.336315 + 0.194171i 0.658641 0.752457i \(-0.271132\pi\)
−0.322326 + 0.946629i \(0.604465\pi\)
\(44\) 2.50507 + 2.50507i 0.377653 + 0.377653i
\(45\) −3.40903 + 0.0910061i −0.508188 + 0.0135664i
\(46\) 0.711446 0.190631i 0.104897 0.0281071i
\(47\) 7.99659 7.99659i 1.16642 1.16642i 0.183380 0.983042i \(-0.441296\pi\)
0.983042 0.183380i \(-0.0587039\pi\)
\(48\) −1.03598 + 1.38808i −0.149530 + 0.200352i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) 3.58147 + 0.959651i 0.506496 + 0.135715i
\(51\) −12.5726 1.48482i −1.76052 0.207917i
\(52\) −0.893482 3.49309i −0.123904 0.484405i
\(53\) 7.87957i 1.08234i −0.840913 0.541171i \(-0.817981\pi\)
0.840913 0.541171i \(-0.182019\pi\)
\(54\) 2.99569 4.24568i 0.407662 0.577764i
\(55\) −2.01358 3.48762i −0.271511 0.470270i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) −6.76752 + 5.33788i −0.896380 + 0.707019i
\(58\) 0.316673 + 1.18184i 0.0415813 + 0.155183i
\(59\) 0.645602 + 2.40942i 0.0840502 + 0.313680i 0.995133 0.0985446i \(-0.0314187\pi\)
−0.911082 + 0.412224i \(0.864752\pi\)
\(60\) 1.54590 1.21933i 0.199575 0.157415i
\(61\) −1.63757 + 2.83635i −0.209669 + 0.363157i −0.951610 0.307308i \(-0.900572\pi\)
0.741941 + 0.670465i \(0.233905\pi\)
\(62\) 1.96644 + 3.40597i 0.249738 + 0.432558i
\(63\) −1.43013 + 2.63718i −0.180180 + 0.332253i
\(64\) 1.00000i 0.125000i
\(65\) −0.0466531 + 4.09833i −0.00578661 + 0.508336i
\(66\) 6.09379 + 0.719674i 0.750094 + 0.0885857i
\(67\) −1.47511 0.395253i −0.180213 0.0482879i 0.167584 0.985858i \(-0.446403\pi\)
−0.347797 + 0.937570i \(0.613070\pi\)
\(68\) 6.33001 3.65463i 0.767626 0.443189i
\(69\) 0.763041 1.02238i 0.0918593 0.123080i
\(70\) −0.803802 + 0.803802i −0.0960727 + 0.0960727i
\(71\) 4.91302 1.31644i 0.583068 0.156233i 0.0447851 0.998997i \(-0.485740\pi\)
0.538283 + 0.842764i \(0.319073\pi\)
\(72\) 0.0800584 + 2.99893i 0.00943497 + 0.353427i
\(73\) −11.3512 11.3512i −1.32855 1.32855i −0.906634 0.421919i \(-0.861357\pi\)
−0.421919 0.906634i \(-0.638643\pi\)
\(74\) −2.12765 1.22840i −0.247334 0.142799i
\(75\) 5.89993 2.53659i 0.681265 0.292900i
\(76\) 1.28797 4.80679i 0.147741 0.551376i
\(77\) −3.54270 −0.403728
\(78\) −4.96194 3.79199i −0.561829 0.429358i
\(79\) 11.0080 1.23849 0.619247 0.785196i \(-0.287438\pi\)
0.619247 + 0.785196i \(0.287438\pi\)
\(80\) −0.294212 + 1.09801i −0.0328939 + 0.122762i
\(81\) −0.480179 8.98718i −0.0533532 0.998576i
\(82\) −5.28103 3.04900i −0.583192 0.336706i
\(83\) 10.0746 + 10.0746i 1.10583 + 1.10583i 0.993693 + 0.112136i \(0.0357692\pi\)
0.112136 + 0.993693i \(0.464231\pi\)
\(84\) −0.248973 1.71406i −0.0271652 0.187020i
\(85\) −8.02567 + 2.15047i −0.870506 + 0.233251i
\(86\) −1.80067 + 1.80067i −0.194171 + 0.194171i
\(87\) 1.69836 + 1.26755i 0.182083 + 0.135895i
\(88\) −3.06807 + 1.77135i −0.327057 + 0.188827i
\(89\) 15.9782 + 4.28134i 1.69368 + 0.453821i 0.971336 0.237710i \(-0.0763969\pi\)
0.722346 + 0.691531i \(0.243064\pi\)
\(90\) 0.794416 3.31642i 0.0837388 0.349581i
\(91\) 3.10178 + 1.83820i 0.325155 + 0.192696i
\(92\) 0.736543i 0.0767900i
\(93\) 6.32763 + 2.52260i 0.656145 + 0.261581i
\(94\) 5.65444 + 9.79378i 0.583211 + 1.01015i
\(95\) −2.82843 + 4.89898i −0.290190 + 0.502625i
\(96\) −1.07265 1.35994i −0.109477 0.138798i
\(97\) 1.07287 + 4.00399i 0.108933 + 0.406544i 0.998762 0.0497512i \(-0.0158428\pi\)
−0.889829 + 0.456295i \(0.849176\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) 9.05912 5.55778i 0.910476 0.558578i
\(100\) −1.85390 + 3.21105i −0.185390 + 0.321105i
\(101\) 4.85354 + 8.40658i 0.482945 + 0.836485i 0.999808 0.0195826i \(-0.00623372\pi\)
−0.516863 + 0.856068i \(0.672900\pi\)
\(102\) 4.68827 11.7599i 0.464208 1.16441i
\(103\) 4.41326i 0.434851i −0.976077 0.217426i \(-0.930234\pi\)
0.976077 0.217426i \(-0.0697660\pi\)
\(104\) 3.60532 + 0.0410409i 0.353530 + 0.00402439i
\(105\) −0.230922 + 1.95532i −0.0225357 + 0.190819i
\(106\) 7.61108 + 2.03938i 0.739253 + 0.198082i
\(107\) 3.35068 1.93452i 0.323923 0.187017i −0.329217 0.944254i \(-0.606785\pi\)
0.653140 + 0.757237i \(0.273451\pi\)
\(108\) 3.32567 + 3.99248i 0.320013 + 0.384177i
\(109\) −9.13766 + 9.13766i −0.875229 + 0.875229i −0.993036 0.117807i \(-0.962413\pi\)
0.117807 + 0.993036i \(0.462413\pi\)
\(110\) 3.88993 1.04230i 0.370891 0.0993798i
\(111\) −4.21111 + 0.611677i −0.399701 + 0.0580578i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −6.11927 3.53296i −0.575652 0.332353i 0.183751 0.982973i \(-0.441176\pi\)
−0.759404 + 0.650620i \(0.774509\pi\)
\(114\) −3.40443 7.91846i −0.318854 0.741632i
\(115\) 0.216700 0.808734i 0.0202074 0.0754149i
\(116\) −1.22353 −0.113602
\(117\) −10.8154 + 0.165557i −0.999883 + 0.0153058i
\(118\) −2.49441 −0.229629
\(119\) −1.89178 + 7.06020i −0.173419 + 0.647208i
\(120\) 0.777673 + 1.80881i 0.0709915 + 0.165121i
\(121\) 1.34297 + 0.775365i 0.122088 + 0.0704877i
\(122\) −2.31587 2.31587i −0.209669 0.209669i
\(123\) −10.4524 + 1.51824i −0.942458 + 0.136895i
\(124\) −3.79886 + 1.01790i −0.341148 + 0.0914103i
\(125\) 6.99935 6.99935i 0.626041 0.626041i
\(126\) −2.17717 2.06396i −0.193958 0.183872i
\(127\) 10.7987 6.23461i 0.958226 0.553232i 0.0625995 0.998039i \(-0.480061\pi\)
0.895627 + 0.444807i \(0.146728\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −0.517310 + 4.38028i −0.0455466 + 0.385663i
\(130\) −3.94661 1.10579i −0.346141 0.0969842i
\(131\) 3.30383i 0.288657i −0.989530 0.144328i \(-0.953898\pi\)
0.989530 0.144328i \(-0.0461022\pi\)
\(132\) −2.27234 + 5.69988i −0.197782 + 0.496111i
\(133\) 2.48818 + 4.30965i 0.215752 + 0.373694i
\(134\) 0.763571 1.32254i 0.0659625 0.114250i
\(135\) −2.47700 5.36225i −0.213186 0.461509i
\(136\) 1.89178 + 7.06020i 0.162218 + 0.605408i
\(137\) 2.14943 + 8.02180i 0.183639 + 0.685348i 0.994918 + 0.100690i \(0.0321049\pi\)
−0.811279 + 0.584659i \(0.801228\pi\)
\(138\) 0.790052 + 1.00165i 0.0672537 + 0.0852662i
\(139\) 9.81828 17.0058i 0.832776 1.44241i −0.0630528 0.998010i \(-0.520084\pi\)
0.895829 0.444400i \(-0.146583\pi\)
\(140\) −0.568374 0.984452i −0.0480363 0.0832014i
\(141\) 18.1950 + 7.25368i 1.53229 + 0.610870i
\(142\) 5.08633i 0.426836i
\(143\) −6.26036 11.1341i −0.523518 0.931077i
\(144\) −2.91747 0.698850i −0.243122 0.0582375i
\(145\) 1.34345 + 0.359978i 0.111568 + 0.0298945i
\(146\) 13.9023 8.02648i 1.15056 0.664276i
\(147\) 1.38808 + 1.03598i 0.114487 + 0.0854458i
\(148\) 1.73722 1.73722i 0.142799 0.142799i
\(149\) 1.54435 0.413806i 0.126518 0.0339003i −0.195005 0.980802i \(-0.562472\pi\)
0.321522 + 0.946902i \(0.395805\pi\)
\(150\) 0.923144 + 6.35541i 0.0753744 + 0.518917i
\(151\) 15.8345 + 15.8345i 1.28859 + 1.28859i 0.935641 + 0.352954i \(0.114823\pi\)
0.352954 + 0.935641i \(0.385177\pi\)
\(152\) 4.30965 + 2.48818i 0.349559 + 0.201818i
\(153\) −6.23854 21.0216i −0.504356 1.69950i
\(154\) 0.916918 3.42199i 0.0738874 0.275752i
\(155\) 4.47068 0.359094
\(156\) 4.94702 3.81143i 0.396079 0.305158i
\(157\) 4.31592 0.344448 0.172224 0.985058i \(-0.444905\pi\)
0.172224 + 0.985058i \(0.444905\pi\)
\(158\) −2.84907 + 10.6329i −0.226660 + 0.845907i
\(159\) 12.5381 5.39058i 0.994338 0.427501i
\(160\) −0.984452 0.568374i −0.0778278 0.0449339i
\(161\) −0.520815 0.520815i −0.0410460 0.0410460i
\(162\) 8.80523 + 1.86224i 0.691804 + 0.146311i
\(163\) −3.38458 + 0.906895i −0.265101 + 0.0710335i −0.388921 0.921271i \(-0.627152\pi\)
0.123820 + 0.992305i \(0.460485\pi\)
\(164\) 4.31194 4.31194i 0.336706 0.336706i
\(165\) 4.17203 5.59000i 0.324792 0.435181i
\(166\) −12.3388 + 7.12380i −0.957676 + 0.552914i
\(167\) 0.966456 + 0.258961i 0.0747866 + 0.0200390i 0.296018 0.955182i \(-0.404341\pi\)
−0.221232 + 0.975221i \(0.571008\pi\)
\(168\) 1.72010 + 0.203143i 0.132708 + 0.0156728i
\(169\) −0.295931 + 12.9966i −0.0227639 + 0.999741i
\(170\) 8.30878i 0.637254i
\(171\) −13.1235 7.11685i −1.00358 0.544239i
\(172\) −1.27327 2.20536i −0.0970857 0.168157i
\(173\) 11.4516 19.8347i 0.870649 1.50801i 0.00932213 0.999957i \(-0.497033\pi\)
0.861327 0.508051i \(-0.169634\pi\)
\(174\) −1.66392 + 1.31242i −0.126142 + 0.0994943i
\(175\) −0.959651 3.58147i −0.0725428 0.270733i
\(176\) −0.916918 3.42199i −0.0691153 0.257942i
\(177\) −3.39224 + 2.67563i −0.254977 + 0.201113i
\(178\) −8.27091 + 14.3256i −0.619931 + 1.07375i
\(179\) 2.35860 + 4.08522i 0.176290 + 0.305344i 0.940607 0.339497i \(-0.110257\pi\)
−0.764317 + 0.644841i \(0.776924\pi\)
\(180\) 2.99781 + 1.62570i 0.223443 + 0.121173i
\(181\) 4.61924i 0.343345i 0.985154 + 0.171673i \(0.0549172\pi\)
−0.985154 + 0.171673i \(0.945083\pi\)
\(182\) −2.57836 + 2.52032i −0.191121 + 0.186819i
\(183\) −5.63355 0.665320i −0.416444 0.0491818i
\(184\) −0.711446 0.190631i −0.0524485 0.0140535i
\(185\) −2.41860 + 1.39638i −0.177819 + 0.102664i
\(186\) −4.07436 + 5.45912i −0.298746 + 0.400282i
\(187\) 18.3102 18.3102i 1.33897 1.33897i
\(188\) −10.9235 + 2.92695i −0.796681 + 0.213470i
\(189\) −5.17472 0.471503i −0.376405 0.0342968i
\(190\) −4.00000 4.00000i −0.290190 0.290190i
\(191\) 9.14674 + 5.28087i 0.661835 + 0.382110i 0.792976 0.609253i \(-0.208531\pi\)
−0.131141 + 0.991364i \(0.541864\pi\)
\(192\) 1.59122 0.684122i 0.114836 0.0493722i
\(193\) −1.30905 + 4.88544i −0.0942275 + 0.351662i −0.996901 0.0786639i \(-0.974935\pi\)
0.902674 + 0.430326i \(0.141601\pi\)
\(194\) −4.14524 −0.297611
\(195\) −6.55326 + 2.72952i −0.469289 + 0.195465i
\(196\) −1.00000 −0.0714286
\(197\) −3.07482 + 11.4754i −0.219072 + 0.817586i 0.765622 + 0.643291i \(0.222431\pi\)
−0.984693 + 0.174295i \(0.944235\pi\)
\(198\) 3.02373 + 10.1889i 0.214887 + 0.724093i
\(199\) −20.2727 11.7045i −1.43710 0.829707i −0.439448 0.898268i \(-0.644826\pi\)
−0.997647 + 0.0685605i \(0.978159\pi\)
\(200\) −2.62181 2.62181i −0.185390 0.185390i
\(201\) −0.380217 2.61762i −0.0268185 0.184633i
\(202\) −9.37632 + 2.51238i −0.659715 + 0.176770i
\(203\) 0.865168 0.865168i 0.0607229 0.0607229i
\(204\) 10.1458 + 7.57221i 0.710349 + 0.530161i
\(205\) −6.00319 + 3.46594i −0.419281 + 0.242072i
\(206\) 4.26288 + 1.14224i 0.297009 + 0.0795833i
\(207\) 2.14884 + 0.514733i 0.149355 + 0.0357764i
\(208\) −0.972767 + 3.47185i −0.0674493 + 0.240729i
\(209\) 17.6297i 1.21947i
\(210\) −1.82892 0.729126i −0.126208 0.0503145i
\(211\) −8.19223 14.1894i −0.563976 0.976835i −0.997144 0.0755221i \(-0.975938\pi\)
0.433168 0.901313i \(-0.357396\pi\)
\(212\) −3.93978 + 6.82391i −0.270586 + 0.468668i
\(213\) 5.45585 + 6.91709i 0.373829 + 0.473951i
\(214\) 1.00138 + 3.73720i 0.0684529 + 0.255470i
\(215\) 0.749220 + 2.79613i 0.0510964 + 0.190694i
\(216\) −4.71719 + 2.17902i −0.320964 + 0.148264i
\(217\) 1.96644 3.40597i 0.133490 0.231212i
\(218\) −6.46130 11.1913i −0.437615 0.757971i
\(219\) 10.2966 25.8277i 0.695780 1.74528i
\(220\) 4.02715i 0.271511i
\(221\) −25.5319 + 6.53070i −1.71746 + 0.439302i
\(222\) 0.499081 4.22593i 0.0334961 0.283626i
\(223\) −19.3357 5.18099i −1.29482 0.346945i −0.455329 0.890323i \(-0.650478\pi\)
−0.839488 + 0.543378i \(0.817145\pi\)
\(224\) −0.866025 + 0.500000i −0.0578638 + 0.0334077i
\(225\) 8.07254 + 7.65275i 0.538169 + 0.510183i
\(226\) 4.99636 4.99636i 0.332353 0.332353i
\(227\) −11.2325 + 3.00974i −0.745528 + 0.199763i −0.611533 0.791219i \(-0.709447\pi\)
−0.133994 + 0.990982i \(0.542780\pi\)
\(228\) 8.52978 1.23898i 0.564899 0.0820533i
\(229\) 7.77729 + 7.77729i 0.513937 + 0.513937i 0.915731 0.401793i \(-0.131613\pi\)
−0.401793 + 0.915731i \(0.631613\pi\)
\(230\) 0.725091 + 0.418632i 0.0478111 + 0.0276038i
\(231\) −2.42364 5.63721i −0.159464 0.370901i
\(232\) 0.316673 1.18184i 0.0207906 0.0775917i
\(233\) −27.2445 −1.78485 −0.892424 0.451198i \(-0.850997\pi\)
−0.892424 + 0.451198i \(0.850997\pi\)
\(234\) 2.63931 10.4897i 0.172537 0.685734i
\(235\) 12.8553 0.838590
\(236\) 0.645602 2.40942i 0.0420251 0.156840i
\(237\) 7.53079 + 17.5161i 0.489178 + 1.13779i
\(238\) −6.33001 3.65463i −0.410313 0.236895i
\(239\) −17.6202 17.6202i −1.13976 1.13976i −0.988493 0.151265i \(-0.951665\pi\)
−0.151265 0.988493i \(-0.548335\pi\)
\(240\) −1.94846 + 0.283019i −0.125772 + 0.0182688i
\(241\) 9.96070 2.66896i 0.641625 0.171923i 0.0766858 0.997055i \(-0.475566\pi\)
0.564940 + 0.825132i \(0.308899\pi\)
\(242\) −1.09653 + 1.09653i −0.0704877 + 0.0704877i
\(243\) 13.9721 6.91240i 0.896309 0.443430i
\(244\) 2.83635 1.63757i 0.181579 0.104834i
\(245\) 1.09801 + 0.294212i 0.0701495 + 0.0187965i
\(246\) 1.23876 10.4892i 0.0789808 0.668764i
\(247\) −9.14754 + 15.4355i −0.582044 + 0.982139i
\(248\) 3.93287i 0.249738i
\(249\) −9.13862 + 22.9231i −0.579137 + 1.45269i
\(250\) 4.94929 + 8.57242i 0.313020 + 0.542167i
\(251\) 6.05136 10.4813i 0.381958 0.661571i −0.609384 0.792875i \(-0.708583\pi\)
0.991342 + 0.131304i \(0.0419164\pi\)
\(252\) 2.55712 1.56880i 0.161084 0.0988250i
\(253\) 0.675350 + 2.52044i 0.0424589 + 0.158459i
\(254\) 3.22727 + 12.0443i 0.202497 + 0.755729i
\(255\) −8.91240 11.2994i −0.558116 0.707596i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.43481 + 9.41337i 0.339014 + 0.587190i 0.984248 0.176796i \(-0.0565732\pi\)
−0.645233 + 0.763986i \(0.723240\pi\)
\(258\) −4.09714 1.63338i −0.255077 0.101690i
\(259\) 2.45680i 0.152658i
\(260\) 2.08957 3.52594i 0.129590 0.218669i
\(261\) −0.855066 + 3.56961i −0.0529272 + 0.220954i
\(262\) 3.19125 + 0.855094i 0.197156 + 0.0528279i
\(263\) −18.4531 + 10.6539i −1.13787 + 0.656949i −0.945902 0.324453i \(-0.894820\pi\)
−0.191967 + 0.981401i \(0.561487\pi\)
\(264\) −4.91754 3.67015i −0.302654 0.225882i
\(265\) 6.33361 6.33361i 0.389071 0.389071i
\(266\) −4.80679 + 1.28797i −0.294723 + 0.0789708i
\(267\) 4.11847 + 28.3537i 0.252046 + 1.73522i
\(268\) 1.07985 + 1.07985i 0.0659625 + 0.0659625i
\(269\) −27.3497 15.7904i −1.66754 0.962756i −0.968957 0.247229i \(-0.920480\pi\)
−0.698585 0.715527i \(-0.746187\pi\)
\(270\) 5.82063 1.00475i 0.354232 0.0611469i
\(271\) 2.99969 11.1950i 0.182218 0.680047i −0.812991 0.582276i \(-0.802162\pi\)
0.995209 0.0977704i \(-0.0311711\pi\)
\(272\) −7.30926 −0.443189
\(273\) −0.802988 + 6.19316i −0.0485991 + 0.374827i
\(274\) −8.30478 −0.501710
\(275\) −3.39976 + 12.6881i −0.205013 + 0.765119i
\(276\) −1.17200 + 0.503885i −0.0705462 + 0.0303303i
\(277\) −5.85837 3.38233i −0.351995 0.203224i 0.313569 0.949566i \(-0.398475\pi\)
−0.665564 + 0.746341i \(0.731809\pi\)
\(278\) 13.8851 + 13.8851i 0.832776 + 0.832776i
\(279\) 0.314859 + 11.7944i 0.0188501 + 0.706113i
\(280\) 1.09801 0.294212i 0.0656188 0.0175825i
\(281\) 21.2979 21.2979i 1.27053 1.27053i 0.324715 0.945812i \(-0.394732\pi\)
0.945812 0.324715i \(-0.105268\pi\)
\(282\) −11.7157 + 15.6976i −0.697661 + 0.934778i
\(283\) 23.2985 13.4514i 1.38495 0.799601i 0.392209 0.919876i \(-0.371711\pi\)
0.992741 + 0.120275i \(0.0383776\pi\)
\(284\) −4.91302 1.31644i −0.291534 0.0781164i
\(285\) −9.73034 1.14915i −0.576375 0.0680697i
\(286\) 12.3750 3.16534i 0.731748 0.187171i
\(287\) 6.09800i 0.359954i
\(288\) 1.43013 2.63718i 0.0842714 0.155397i
\(289\) −18.2127 31.5452i −1.07133 1.85560i
\(290\) −0.695423 + 1.20451i −0.0408367 + 0.0707312i
\(291\) −5.63726 + 4.44638i −0.330462 + 0.260652i
\(292\) 4.15481 + 15.5060i 0.243142 + 0.907418i
\(293\) 7.03085 + 26.2395i 0.410747 + 1.53293i 0.793205 + 0.608955i \(0.208411\pi\)
−0.382458 + 0.923973i \(0.624922\pi\)
\(294\) −1.35994 + 1.07265i −0.0793131 + 0.0625581i
\(295\) −1.41776 + 2.45563i −0.0825451 + 0.142972i
\(296\) 1.22840 + 2.12765i 0.0713993 + 0.123667i
\(297\) 15.0412 + 10.6128i 0.872778 + 0.615819i
\(298\) 1.59883i 0.0926175i
\(299\) 0.716485 2.55717i 0.0414354 0.147885i
\(300\) −6.37779 0.753214i −0.368222 0.0434868i
\(301\) 2.45976 + 0.659091i 0.141778 + 0.0379894i
\(302\) −19.3932 + 11.1967i −1.11596 + 0.644297i
\(303\) −10.0563 + 13.4742i −0.577719 + 0.774070i
\(304\) −3.51881 + 3.51881i −0.201818 + 0.201818i
\(305\) −3.59614 + 0.963583i −0.205914 + 0.0551746i
\(306\) 21.9200 0.585168i 1.25308 0.0334518i
\(307\) 4.41492 + 4.41492i 0.251973 + 0.251973i 0.821779 0.569806i \(-0.192982\pi\)
−0.569806 + 0.821779i \(0.692982\pi\)
\(308\) 3.06807 + 1.77135i 0.174819 + 0.100932i
\(309\) 7.02246 3.01921i 0.399494 0.171757i
\(310\) −1.15710 + 4.31834i −0.0657187 + 0.245265i
\(311\) −29.1301 −1.65181 −0.825907 0.563806i \(-0.809337\pi\)
−0.825907 + 0.563806i \(0.809337\pi\)
\(312\) 2.40117 + 5.76493i 0.135940 + 0.326375i
\(313\) −28.3341 −1.60154 −0.800769 0.598973i \(-0.795576\pi\)
−0.800769 + 0.598973i \(0.795576\pi\)
\(314\) −1.11704 + 4.16886i −0.0630384 + 0.235262i
\(315\) −3.26931 + 0.970226i −0.184205 + 0.0546661i
\(316\) −9.53318 5.50399i −0.536284 0.309623i
\(317\) 14.7984 + 14.7984i 0.831161 + 0.831161i 0.987676 0.156514i \(-0.0500258\pi\)
−0.156514 + 0.987676i \(0.550026\pi\)
\(318\) 1.96180 + 13.5061i 0.110012 + 0.757383i
\(319\) −4.18691 + 1.12188i −0.234422 + 0.0628132i
\(320\) 0.803802 0.803802i 0.0449339 0.0449339i
\(321\) 5.37051 + 4.00822i 0.299753 + 0.223717i
\(322\) 0.637865 0.368272i 0.0355468 0.0205230i
\(323\) −35.1341 9.41414i −1.95491 0.523817i
\(324\) −4.07774 + 8.02322i −0.226541 + 0.445734i
\(325\) 9.56008 9.34487i 0.530298 0.518360i
\(326\) 3.50397i 0.194067i
\(327\) −20.7913 8.28875i −1.14976 0.458369i
\(328\) 3.04900 + 5.28103i 0.168353 + 0.291596i
\(329\) 5.65444 9.79378i 0.311739 0.539949i
\(330\) 4.31972 + 5.47667i 0.237793 + 0.301481i
\(331\) −0.804549 3.00262i −0.0442220 0.165039i 0.940284 0.340392i \(-0.110560\pi\)
−0.984506 + 0.175353i \(0.943893\pi\)
\(332\) −3.68755 13.7621i −0.202381 0.755295i
\(333\) −3.85422 6.28233i −0.211210 0.344270i
\(334\) −0.500274 + 0.866501i −0.0273738 + 0.0474128i
\(335\) −0.867987 1.50340i −0.0474232 0.0821394i
\(336\) −0.641415 + 1.60891i −0.0349920 + 0.0877732i
\(337\) 14.3061i 0.779305i 0.920962 + 0.389653i \(0.127405\pi\)
−0.920962 + 0.389653i \(0.872595\pi\)
\(338\) −12.4772 3.64962i −0.678670 0.198513i
\(339\) 1.43539 12.1541i 0.0779597 0.660119i
\(340\) 8.02567 + 2.15047i 0.435253 + 0.116626i
\(341\) −12.0663 + 6.96649i −0.653428 + 0.377257i
\(342\) 10.2710 10.8344i 0.555390 0.585857i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 2.45976 0.659091i 0.132622 0.0355358i
\(345\) 1.43512 0.208456i 0.0772644 0.0112229i
\(346\) 16.1950 + 16.1950i 0.870649 + 0.870649i
\(347\) 20.2438 + 11.6878i 1.08674 + 0.627432i 0.932708 0.360633i \(-0.117439\pi\)
0.154037 + 0.988065i \(0.450773\pi\)
\(348\) −0.837045 1.94691i −0.0448703 0.104365i
\(349\) −6.31414 + 23.5647i −0.337988 + 1.26139i 0.562605 + 0.826726i \(0.309799\pi\)
−0.900593 + 0.434663i \(0.856868\pi\)
\(350\) 3.70781 0.198191
\(351\) −7.66248 17.0964i −0.408993 0.912538i
\(352\) 3.54270 0.188827
\(353\) 6.14712 22.9414i 0.327178 1.22104i −0.584926 0.811087i \(-0.698877\pi\)
0.912104 0.409958i \(-0.134457\pi\)
\(354\) −1.70648 3.96916i −0.0906985 0.210958i
\(355\) 5.00725 + 2.89094i 0.265757 + 0.153435i
\(356\) −11.6968 11.6968i −0.619931 0.619931i
\(357\) −12.5285 + 1.81981i −0.663080 + 0.0963145i
\(358\) −4.55647 + 1.22090i −0.240817 + 0.0645268i
\(359\) 2.81284 2.81284i 0.148456 0.148456i −0.628972 0.777428i \(-0.716524\pi\)
0.777428 + 0.628972i \(0.216524\pi\)
\(360\) −2.34619 + 2.47490i −0.123655 + 0.130439i
\(361\) −4.99184 + 2.88204i −0.262728 + 0.151686i
\(362\) −4.46184 1.19555i −0.234509 0.0628366i
\(363\) −0.315020 + 2.66741i −0.0165342 + 0.140003i
\(364\) −1.76712 3.14282i −0.0926221 0.164728i
\(365\) 18.2482i 0.955152i
\(366\) 2.10072 5.26939i 0.109806 0.275436i
\(367\) −6.94597 12.0308i −0.362577 0.628001i 0.625807 0.779978i \(-0.284770\pi\)
−0.988384 + 0.151976i \(0.951436\pi\)
\(368\) 0.368272 0.637865i 0.0191975 0.0332510i
\(369\) −9.56654 15.5933i −0.498014 0.811757i
\(370\) −0.722819 2.69760i −0.0375776 0.140241i
\(371\) −2.03938 7.61108i −0.105879 0.395148i
\(372\) −4.21859 5.34845i −0.218724 0.277304i
\(373\) 2.38315 4.12774i 0.123395 0.213727i −0.797709 0.603042i \(-0.793955\pi\)
0.921104 + 0.389316i \(0.127288\pi\)
\(374\) 12.9473 + 22.4253i 0.669487 + 1.15959i
\(375\) 15.9259 + 6.34909i 0.822410 + 0.327866i
\(376\) 11.3089i 0.583211i
\(377\) 4.24792 + 1.19021i 0.218779 + 0.0612990i
\(378\) 1.79475 4.87636i 0.0923121 0.250813i
\(379\) 17.3803 + 4.65704i 0.892767 + 0.239216i 0.675907 0.736987i \(-0.263752\pi\)
0.216859 + 0.976203i \(0.430419\pi\)
\(380\) 4.89898 2.82843i 0.251312 0.145095i
\(381\) 17.3082 + 12.9178i 0.886727 + 0.661799i
\(382\) −7.46828 + 7.46828i −0.382110 + 0.382110i
\(383\) 8.33992 2.23467i 0.426150 0.114187i −0.0393685 0.999225i \(-0.512535\pi\)
0.465518 + 0.885038i \(0.345868\pi\)
\(384\) 0.248973 + 1.71406i 0.0127054 + 0.0874704i
\(385\) −2.84763 2.84763i −0.145129 0.145129i
\(386\) −4.38017 2.52889i −0.222945 0.128717i
\(387\) −7.32389 + 2.17349i −0.372294 + 0.110485i
\(388\) 1.07287 4.00399i 0.0544666 0.203272i
\(389\) 3.71381 0.188298 0.0941488 0.995558i \(-0.469987\pi\)
0.0941488 + 0.995558i \(0.469987\pi\)
\(390\) −0.940408 7.03642i −0.0476194 0.356303i
\(391\) 5.38359 0.272260
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) 5.25711 2.26022i 0.265186 0.114013i
\(394\) −10.2885 5.94009i −0.518329 0.299257i
\(395\) 8.84823 + 8.84823i 0.445203 + 0.445203i
\(396\) −10.6243 + 0.283623i −0.533892 + 0.0142526i
\(397\) −9.72596 + 2.60606i −0.488132 + 0.130795i −0.494487 0.869185i \(-0.664644\pi\)
0.00635463 + 0.999980i \(0.497977\pi\)
\(398\) 16.5526 16.5526i 0.829707 0.829707i
\(399\) −5.15538 + 6.90756i −0.258092 + 0.345810i
\(400\) 3.21105 1.85390i 0.160553 0.0926952i
\(401\) −17.3984 4.66188i −0.868834 0.232803i −0.203250 0.979127i \(-0.565151\pi\)
−0.665583 + 0.746324i \(0.731817\pi\)
\(402\) 2.62683 + 0.310228i 0.131014 + 0.0154728i
\(403\) 14.1792 + 0.161409i 0.706319 + 0.00804033i
\(404\) 9.70708i 0.482945i
\(405\) 6.83794 7.60988i 0.339780 0.378138i
\(406\) 0.611766 + 1.05961i 0.0303614 + 0.0525876i
\(407\) 4.35185 7.53763i 0.215713 0.373626i
\(408\) −9.94013 + 7.84027i −0.492110 + 0.388151i
\(409\) −4.81027 17.9522i −0.237852 0.887677i −0.976842 0.213961i \(-0.931364\pi\)
0.738990 0.673716i \(-0.235303\pi\)
\(410\) −1.79410 6.69569i −0.0886045 0.330677i
\(411\) −11.2940 + 8.90811i −0.557090 + 0.439405i
\(412\) −2.20663 + 3.82199i −0.108713 + 0.188296i
\(413\) 1.24721 + 2.16023i 0.0613710 + 0.106298i
\(414\) −1.05336 + 1.94240i −0.0517696 + 0.0954636i
\(415\) 16.1959i 0.795027i
\(416\) −3.10178 1.83820i −0.152077 0.0901252i
\(417\) 33.7768 + 3.98902i 1.65406 + 0.195343i
\(418\) 17.0290 + 4.56291i 0.832916 + 0.223179i
\(419\) −5.64258 + 3.25775i −0.275658 + 0.159151i −0.631456 0.775412i \(-0.717542\pi\)
0.355798 + 0.934563i \(0.384209\pi\)
\(420\) 1.17764 1.57789i 0.0574630 0.0769932i
\(421\) −4.04576 + 4.04576i −0.197178 + 0.197178i −0.798789 0.601611i \(-0.794526\pi\)
0.601611 + 0.798789i \(0.294526\pi\)
\(422\) 15.8262 4.24061i 0.770406 0.206430i
\(423\) 0.905371 + 33.9146i 0.0440206 + 1.64898i
\(424\) −5.57170 5.57170i −0.270586 0.270586i
\(425\) 23.4704 + 13.5507i 1.13848 + 0.657304i
\(426\) −8.09347 + 3.47967i −0.392130 + 0.168591i
\(427\) −0.847667 + 3.16354i −0.0410215 + 0.153094i
\(428\) −3.86903 −0.187017
\(429\) 13.4339 17.5787i 0.648594 0.848706i
\(430\) −2.89476 −0.139598
\(431\) 5.31288 19.8280i 0.255913 0.955079i −0.711668 0.702516i \(-0.752060\pi\)
0.967580 0.252563i \(-0.0812735\pi\)
\(432\) −0.883878 5.12043i −0.0425256 0.246357i
\(433\) 16.7919 + 9.69483i 0.806969 + 0.465904i 0.845902 0.533338i \(-0.179063\pi\)
−0.0389329 + 0.999242i \(0.512396\pi\)
\(434\) 2.78096 + 2.78096i 0.133490 + 0.133490i
\(435\) 0.346283 + 2.38400i 0.0166030 + 0.114304i
\(436\) 12.4823 3.34462i 0.597793 0.160178i
\(437\) 2.59176 2.59176i 0.123981 0.123981i
\(438\) 22.2827 + 16.6305i 1.06471 + 0.794634i
\(439\) −1.81303 + 1.04675i −0.0865313 + 0.0499588i −0.542641 0.839965i \(-0.682576\pi\)
0.456110 + 0.889923i \(0.349242\pi\)
\(440\) −3.88993 1.04230i −0.185445 0.0496899i
\(441\) −0.698850 + 2.91747i −0.0332786 + 0.138927i
\(442\) 0.299979 26.3522i 0.0142685 1.25345i
\(443\) 38.6899i 1.83821i −0.394009 0.919106i \(-0.628912\pi\)
0.394009 0.919106i \(-0.371088\pi\)
\(444\) 3.95277 + 1.57583i 0.187590 + 0.0747854i
\(445\) 9.40193 + 16.2846i 0.445694 + 0.771965i
\(446\) 10.0089 17.3359i 0.473936 0.820881i
\(447\) 1.71498 + 2.17430i 0.0811157 + 0.102841i
\(448\) −0.258819 0.965926i −0.0122281 0.0456357i
\(449\) 4.09656 + 15.2886i 0.193329 + 0.721512i 0.992693 + 0.120666i \(0.0385030\pi\)
−0.799364 + 0.600846i \(0.794830\pi\)
\(450\) −9.48131 + 5.81680i −0.446953 + 0.274207i
\(451\) 10.8017 18.7091i 0.508632 0.880977i
\(452\) 3.53296 + 6.11927i 0.166177 + 0.287826i
\(453\) −14.3634 + 36.0289i −0.674854 + 1.69279i
\(454\) 11.6287i 0.545764i
\(455\) 1.01566 + 3.97076i 0.0476150 + 0.186152i
\(456\) −1.01091 + 8.55981i −0.0473402 + 0.400850i
\(457\) −22.7426 6.09386i −1.06385 0.285059i −0.315888 0.948796i \(-0.602302\pi\)
−0.747965 + 0.663738i \(0.768969\pi\)
\(458\) −9.52519 + 5.49937i −0.445083 + 0.256969i
\(459\) 29.1821 24.3082i 1.36210 1.13461i
\(460\) −0.592035 + 0.592035i −0.0276038 + 0.0276038i
\(461\) 33.9606 9.09971i 1.58170 0.423816i 0.642250 0.766496i \(-0.278001\pi\)
0.939452 + 0.342680i \(0.111335\pi\)
\(462\) 6.07241 0.882037i 0.282514 0.0410361i
\(463\) −18.5472 18.5472i −0.861964 0.861964i 0.129602 0.991566i \(-0.458630\pi\)
−0.991566 + 0.129602i \(0.958630\pi\)
\(464\) 1.05961 + 0.611766i 0.0491912 + 0.0284005i
\(465\) 3.05849 + 7.11383i 0.141834 + 0.329896i
\(466\) 7.05140 26.3162i 0.326650 1.21907i
\(467\) −19.1252 −0.885007 −0.442504 0.896767i \(-0.645910\pi\)
−0.442504 + 0.896767i \(0.645910\pi\)
\(468\) 9.44918 + 5.26432i 0.436788 + 0.243343i
\(469\) −1.52714 −0.0705169
\(470\) −3.32721 + 12.4173i −0.153473 + 0.572768i
\(471\) 2.95261 + 6.86757i 0.136049 + 0.316441i
\(472\) 2.16023 + 1.24721i 0.0994325 + 0.0574074i
\(473\) −6.37924 6.37924i −0.293318 0.293318i
\(474\) −18.8684 + 2.74069i −0.866653 + 0.125884i
\(475\) 17.8226 4.77556i 0.817758 0.219118i
\(476\) 5.16843 5.16843i 0.236895 0.236895i
\(477\) 17.1552 + 16.2631i 0.785483 + 0.744635i
\(478\) 21.5803 12.4594i 0.987059 0.569879i
\(479\) 8.26573 + 2.21480i 0.377671 + 0.101197i 0.442660 0.896689i \(-0.354035\pi\)
−0.0649895 + 0.997886i \(0.520701\pi\)
\(480\) 0.230922 1.95532i 0.0105401 0.0892475i
\(481\) −7.72127 + 4.34145i −0.352060 + 0.197953i
\(482\) 10.3121i 0.469702i
\(483\) 0.472430 1.18503i 0.0214963 0.0539208i
\(484\) −0.775365 1.34297i −0.0352439 0.0610442i
\(485\) −2.35604 + 4.08079i −0.106982 + 0.185299i
\(486\) 3.06062 + 15.2850i 0.138833 + 0.693344i
\(487\) 8.46387 + 31.5876i 0.383535 + 1.43137i 0.840464 + 0.541868i \(0.182283\pi\)
−0.456929 + 0.889503i \(0.651051\pi\)
\(488\) 0.847667 + 3.16354i 0.0383721 + 0.143207i
\(489\) −3.75853 4.76518i −0.169967 0.215489i
\(490\) −0.568374 + 0.984452i −0.0256765 + 0.0444730i
\(491\) −8.47423 14.6778i −0.382437 0.662400i 0.608973 0.793191i \(-0.291582\pi\)
−0.991410 + 0.130791i \(0.958248\pi\)
\(492\) 9.81113 + 3.91135i 0.442320 + 0.176337i
\(493\) 8.94312i 0.402778i
\(494\) −12.5420 12.8309i −0.564292 0.577287i
\(495\) 11.7491 + 2.81438i 0.528082 + 0.126497i
\(496\) 3.79886 + 1.01790i 0.170574 + 0.0457051i
\(497\) 4.40489 2.54317i 0.197587 0.114077i
\(498\) −19.7768 14.7602i −0.886218 0.661419i
\(499\) 11.6614 11.6614i 0.522037 0.522037i −0.396149 0.918186i \(-0.629654\pi\)
0.918186 + 0.396149i \(0.129654\pi\)
\(500\) −9.56129 + 2.56194i −0.427594 + 0.114573i
\(501\) 0.249110 + 1.71500i 0.0111294 + 0.0766207i
\(502\) 8.55791 + 8.55791i 0.381958 + 0.381958i
\(503\) −2.15798 1.24591i −0.0962195 0.0555523i 0.451118 0.892464i \(-0.351025\pi\)
−0.547338 + 0.836912i \(0.684359\pi\)
\(504\) 0.853511 + 2.87602i 0.0380184 + 0.128108i
\(505\) −2.85594 + 10.6585i −0.127088 + 0.474297i
\(506\) −2.60935 −0.116000
\(507\) −20.8829 + 8.42039i −0.927444 + 0.373962i
\(508\) −12.4692 −0.553232
\(509\) −0.307917 + 1.14916i −0.0136482 + 0.0509358i −0.972414 0.233261i \(-0.925060\pi\)
0.958766 + 0.284197i \(0.0917270\pi\)
\(510\) 13.2211 5.68422i 0.585440 0.251701i
\(511\) −13.9023 8.02648i −0.615000 0.355071i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 2.34636 25.7512i 0.103595 1.13694i
\(514\) −10.4993 + 2.81327i −0.463102 + 0.124088i
\(515\) 3.54738 3.54738i 0.156316 0.156316i
\(516\) 2.63815 3.53478i 0.116138 0.155610i
\(517\) −34.6964 + 20.0320i −1.52595 + 0.881006i
\(518\) −2.37309 0.635866i −0.104267 0.0279384i
\(519\) 39.3957 + 4.65262i 1.72928 + 0.204227i
\(520\) 2.86497 + 2.93095i 0.125637 + 0.128531i
\(521\) 12.4355i 0.544810i 0.962183 + 0.272405i \(0.0878190\pi\)
−0.962183 + 0.272405i \(0.912181\pi\)
\(522\) −3.22667 1.74981i −0.141228 0.0765873i
\(523\) −8.24283 14.2770i −0.360434 0.624290i 0.627598 0.778537i \(-0.284038\pi\)
−0.988032 + 0.154248i \(0.950705\pi\)
\(524\) −1.65191 + 2.86120i −0.0721642 + 0.124992i
\(525\) 5.04238 3.97717i 0.220067 0.173578i
\(526\) −5.51487 20.5818i −0.240460 0.897409i
\(527\) 7.44011 + 27.7669i 0.324096 + 1.20954i
\(528\) 4.81785 3.80007i 0.209670 0.165377i
\(529\) 11.2288 19.4488i 0.488207 0.845599i
\(530\) 4.47854 + 7.75706i 0.194535 + 0.336945i
\(531\) −6.57822 3.56734i −0.285470 0.154810i
\(532\) 4.97635i 0.215752i
\(533\) −19.1649 + 10.7759i −0.830125 + 0.466755i
\(534\) −28.4535 3.36035i −1.23130 0.145417i
\(535\) 4.24825 + 1.13832i 0.183668 + 0.0492137i
\(536\) −1.32254 + 0.763571i −0.0571252 + 0.0329812i
\(537\) −4.88691 + 6.54785i −0.210886 + 0.282560i
\(538\) 22.3310 22.3310i 0.962756 0.962756i
\(539\) −3.42199 + 0.916918i −0.147395 + 0.0394945i
\(540\) −0.535979 + 5.88234i −0.0230649 + 0.253136i
\(541\) 10.2201 + 10.2201i 0.439398 + 0.439398i 0.891809 0.452412i \(-0.149436\pi\)
−0.452412 + 0.891809i \(0.649436\pi\)
\(542\) 10.0371 + 5.79495i 0.431132 + 0.248914i
\(543\) −7.35022 + 3.16012i −0.315428 + 0.135614i
\(544\) 1.89178 7.06020i 0.0811092 0.302704i
\(545\) −14.6897 −0.629239
\(546\) −5.77430 2.37853i −0.247117 0.101792i
\(547\) 23.7481 1.01540 0.507698 0.861535i \(-0.330497\pi\)
0.507698 + 0.861535i \(0.330497\pi\)
\(548\) 2.14943 8.02180i 0.0918193 0.342674i
\(549\) −2.79536 9.41937i −0.119303 0.402009i
\(550\) −11.3758 6.56782i −0.485066 0.280053i
\(551\) 4.30538 + 4.30538i 0.183415 + 0.183415i
\(552\) −0.183379 1.26248i −0.00780515 0.0537348i
\(553\) 10.6329 2.84907i 0.452156 0.121155i
\(554\) 4.78334 4.78334i 0.203224 0.203224i
\(555\) −3.87656 2.89323i −0.164551 0.122811i
\(556\) −17.0058 + 9.81828i −0.721205 + 0.416388i
\(557\) −6.31379 1.69178i −0.267524 0.0716828i 0.122563 0.992461i \(-0.460889\pi\)
−0.390087 + 0.920778i \(0.627555\pi\)
\(558\) −11.4740 2.74849i −0.485734 0.116353i
\(559\) 2.27528 + 8.89528i 0.0962342 + 0.376230i
\(560\) 1.13675i 0.0480363i
\(561\) 41.6619 + 16.6091i 1.75897 + 0.701238i
\(562\) 15.0599 + 26.0845i 0.635263 + 1.10031i
\(563\) 16.3712 28.3558i 0.689966 1.19506i −0.281883 0.959449i \(-0.590959\pi\)
0.971848 0.235607i \(-0.0757078\pi\)
\(564\) −12.1305 15.3794i −0.510784 0.647588i
\(565\) −2.07888 7.75848i −0.0874591 0.326402i
\(566\) 6.96294 + 25.9861i 0.292674 + 1.09228i
\(567\) −2.78987 8.55667i −0.117164 0.359346i
\(568\) 2.54317 4.40489i 0.106709 0.184825i
\(569\) 2.26364 + 3.92075i 0.0948969 + 0.164366i 0.909566 0.415560i \(-0.136415\pi\)
−0.814669 + 0.579927i \(0.803081\pi\)
\(570\) 3.62839 9.10136i 0.151976 0.381214i
\(571\) 17.5173i 0.733075i 0.930403 + 0.366538i \(0.119457\pi\)
−0.930403 + 0.366538i \(0.880543\pi\)
\(572\) −0.145396 + 12.7726i −0.00607930 + 0.534048i
\(573\) −2.14554 + 18.1672i −0.0896312 + 0.758946i
\(574\) −5.89022 1.57828i −0.245853 0.0658761i
\(575\) −2.36508 + 1.36548i −0.0986307 + 0.0569445i
\(576\) 2.17717 + 2.06396i 0.0907156 + 0.0859981i
\(577\) −20.4965 + 20.4965i −0.853279 + 0.853279i −0.990535 0.137257i \(-0.956171\pi\)
0.137257 + 0.990535i \(0.456171\pi\)
\(578\) 35.1841 9.42756i 1.46347 0.392135i
\(579\) −8.66936 + 1.25925i −0.360286 + 0.0523327i
\(580\) −0.983477 0.983477i −0.0408367 0.0408367i
\(581\) 12.3388 + 7.12380i 0.511899 + 0.295545i
\(582\) −2.83585 6.59598i −0.117550 0.273412i
\(583\) −7.22492 + 26.9638i −0.299226 + 1.11673i
\(584\) −16.0530 −0.664276
\(585\) −8.82650 8.56035i −0.364931 0.353927i
\(586\) −27.1651 −1.12218
\(587\) −8.47749 + 31.6384i −0.349903 + 1.30586i 0.536875 + 0.843662i \(0.319605\pi\)
−0.886778 + 0.462195i \(0.847062\pi\)
\(588\) −0.684122 1.59122i −0.0282127 0.0656208i
\(589\) 16.9493 + 9.78567i 0.698383 + 0.403212i
\(590\) −2.00501 2.00501i −0.0825451 0.0825451i
\(591\) −20.3634 + 2.95784i −0.837637 + 0.121669i
\(592\) −2.37309 + 0.635866i −0.0975332 + 0.0261339i
\(593\) −6.87228 + 6.87228i −0.282211 + 0.282211i −0.833990 0.551779i \(-0.813949\pi\)
0.551779 + 0.833990i \(0.313949\pi\)
\(594\) −14.1442 + 11.7819i −0.580342 + 0.483416i
\(595\) −7.19562 + 4.15439i −0.294991 + 0.170313i
\(596\) −1.54435 0.413806i −0.0632589 0.0169502i
\(597\) 4.75535 40.2656i 0.194624 1.64796i
\(598\) 2.28459 + 1.35391i 0.0934239 + 0.0553657i
\(599\) 13.4877i 0.551092i −0.961288 0.275546i \(-0.911141\pi\)
0.961288 0.275546i \(-0.0888587\pi\)
\(600\) 2.37824 5.96552i 0.0970913 0.243541i
\(601\) 4.31212 + 7.46881i 0.175895 + 0.304659i 0.940471 0.339875i \(-0.110385\pi\)
−0.764576 + 0.644534i \(0.777051\pi\)
\(602\) −1.27327 + 2.20536i −0.0518945 + 0.0898839i
\(603\) 3.90509 2.39578i 0.159027 0.0975636i
\(604\) −5.79584 21.6304i −0.235829 0.880127i
\(605\) 0.456243 + 1.70272i 0.0185489 + 0.0692255i
\(606\) −10.4123 13.2010i −0.422970 0.536254i
\(607\) −0.674709 + 1.16863i −0.0273856 + 0.0474332i −0.879393 0.476096i \(-0.842052\pi\)
0.852008 + 0.523529i \(0.175385\pi\)
\(608\) −2.48818 4.30965i −0.100909 0.174779i
\(609\) 1.96855 + 0.784791i 0.0797697 + 0.0318013i
\(610\) 3.72300i 0.150740i
\(611\) 40.7721 + 0.464127i 1.64946 + 0.0187766i
\(612\) −5.10808 + 21.3245i −0.206482 + 0.861993i
\(613\) −26.8492 7.19422i −1.08443 0.290572i −0.328020 0.944671i \(-0.606381\pi\)
−0.756409 + 0.654099i \(0.773048\pi\)
\(614\) −5.40716 + 3.12182i −0.218215 + 0.125987i
\(615\) −9.62199 7.18126i −0.387996 0.289577i
\(616\) −2.50507 + 2.50507i −0.100932 + 0.100932i
\(617\) −23.6889 + 6.34741i −0.953678 + 0.255537i −0.701922 0.712254i \(-0.747675\pi\)
−0.251756 + 0.967791i \(0.581008\pi\)
\(618\) 1.09878 + 7.56460i 0.0441995 + 0.304293i
\(619\) 24.0336 + 24.0336i 0.965993 + 0.965993i 0.999440 0.0334478i \(-0.0106487\pi\)
−0.0334478 + 0.999440i \(0.510649\pi\)
\(620\) −3.87172 2.23534i −0.155492 0.0897734i
\(621\) 0.651015 + 3.77142i 0.0261243 + 0.151342i
\(622\) 7.53942 28.1375i 0.302303 1.12821i
\(623\) 16.5418 0.662734
\(624\) −6.18996 + 0.827280i −0.247797 + 0.0331177i
\(625\) −7.28686 −0.291474
\(626\) 7.33341 27.3686i 0.293102 1.09387i
\(627\) 28.0528 12.0609i 1.12032 0.481665i
\(628\) −3.73770 2.15796i −0.149150 0.0861120i
\(629\) −12.6978 12.6978i −0.506294 0.506294i
\(630\) −0.0910061 3.40903i −0.00362577 0.135819i
\(631\) −6.06122 + 1.62410i −0.241293 + 0.0646544i −0.377439 0.926034i \(-0.623195\pi\)
0.136146 + 0.990689i \(0.456529\pi\)
\(632\) 7.78381 7.78381i 0.309623 0.309623i
\(633\) 16.9739 22.7429i 0.674651 0.903948i
\(634\) −18.1243 + 10.4641i −0.719807 + 0.415581i
\(635\) 13.6914 + 3.66859i 0.543325 + 0.145584i
\(636\) −13.5536 1.60068i −0.537436 0.0634710i
\(637\) 3.47185 + 0.972767i 0.137560 + 0.0385424i
\(638\) 4.33461i 0.171609i
\(639\) −7.27414 + 13.4136i −0.287760 + 0.530633i
\(640\) 0.568374 + 0.984452i 0.0224669 + 0.0389139i
\(641\) 16.3293 28.2831i 0.644967 1.11712i −0.339342 0.940663i \(-0.610204\pi\)
0.984309 0.176453i \(-0.0564622\pi\)
\(642\) −5.26164 + 4.15011i −0.207660 + 0.163792i
\(643\) −1.31535 4.90895i −0.0518723 0.193590i 0.935128 0.354311i \(-0.115285\pi\)
−0.987000 + 0.160721i \(0.948618\pi\)
\(644\) 0.190631 + 0.711446i 0.00751193 + 0.0280349i
\(645\) −3.93669 + 3.10507i −0.155007 + 0.122262i
\(646\) 18.1867 31.5003i 0.715547 1.23936i
\(647\) 20.3193 + 35.1941i 0.798835 + 1.38362i 0.920375 + 0.391036i \(0.127883\pi\)
−0.121540 + 0.992586i \(0.538783\pi\)
\(648\) −6.69443 6.01536i −0.262982 0.236306i
\(649\) 8.83696i 0.346881i
\(650\) 6.55212 + 11.6530i 0.256995 + 0.457067i
\(651\) 6.76492 + 0.798934i 0.265138 + 0.0313127i
\(652\) 3.38458 + 0.906895i 0.132550 + 0.0355168i
\(653\) 7.75553 4.47766i 0.303497 0.175224i −0.340516 0.940239i \(-0.610602\pi\)
0.644013 + 0.765015i \(0.277268\pi\)
\(654\) 13.3875 17.9376i 0.523492 0.701414i
\(655\) 2.65562 2.65562i 0.103764 0.103764i
\(656\) −5.89022 + 1.57828i −0.229974 + 0.0616215i
\(657\) 48.1417 1.28517i 1.87819 0.0501394i
\(658\) 7.99659 + 7.99659i 0.311739 + 0.311739i
\(659\) −5.13096 2.96236i −0.199874 0.115397i 0.396723 0.917938i \(-0.370147\pi\)
−0.596597 + 0.802541i \(0.703481\pi\)
\(660\) −6.40809 + 2.75506i −0.249434 + 0.107241i
\(661\) 3.20097 11.9462i 0.124503 0.464653i −0.875318 0.483547i \(-0.839348\pi\)
0.999821 + 0.0188947i \(0.00601474\pi\)
\(662\) 3.10854 0.120817
\(663\) −27.8587 36.1591i −1.08194 1.40430i
\(664\) 14.2476 0.552914
\(665\) −1.46410 + 5.46410i −0.0567754 + 0.211889i
\(666\) 7.06582 2.09691i 0.273795 0.0812534i
\(667\) −0.780449 0.450592i −0.0302191 0.0174470i
\(668\) −0.707495 0.707495i −0.0273738 0.0273738i
\(669\) −4.98390 34.3118i −0.192689 1.32657i
\(670\) 1.67682 0.449303i 0.0647813 0.0173581i
\(671\) 8.20443 8.20443i 0.316729 0.316729i
\(672\) −1.38808 1.03598i −0.0535462 0.0399636i
\(673\) −19.3563 + 11.1753i −0.746129 + 0.430778i −0.824294 0.566163i \(-0.808427\pi\)
0.0781645 + 0.996940i \(0.475094\pi\)
\(674\) −13.8187 3.70270i −0.532275 0.142623i
\(675\) −6.65459 + 18.0806i −0.256135 + 0.695922i
\(676\) 6.75460 11.1074i 0.259792 0.427210i
\(677\) 6.02627i 0.231608i 0.993272 + 0.115804i \(0.0369445\pi\)
−0.993272 + 0.115804i \(0.963056\pi\)
\(678\) 11.3684 + 4.53219i 0.436602 + 0.174058i
\(679\) 2.07262 + 3.58988i 0.0795398 + 0.137767i
\(680\) −4.15439 + 7.19562i −0.159314 + 0.275939i
\(681\) −12.4736 15.8143i −0.477988 0.606007i
\(682\) −3.60612 13.4582i −0.138086 0.515342i
\(683\) −8.87262 33.1131i −0.339501 1.26704i −0.898906 0.438142i \(-0.855637\pi\)
0.559404 0.828895i \(-0.311030\pi\)
\(684\) 7.80689 + 12.7251i 0.298504 + 0.486558i
\(685\) −4.72022 + 8.17565i −0.180350 + 0.312376i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) −7.05475 + 17.6960i −0.269156 + 0.675143i
\(688\) 2.54653i 0.0970857i
\(689\) 20.3164 19.8591i 0.773993 0.756570i
\(690\) −0.170084 + 1.44017i −0.00647499 + 0.0548265i
\(691\) 0.587920 + 0.157533i 0.0223655 + 0.00599282i 0.269984 0.962865i \(-0.412981\pi\)
−0.247619 + 0.968858i \(0.579648\pi\)
\(692\) −19.8347 + 11.4516i −0.754004 + 0.435324i
\(693\) 7.31198 7.71308i 0.277759 0.292996i
\(694\) −16.5290 + 16.5290i −0.627432 + 0.627432i
\(695\) 21.5612 5.77731i 0.817863 0.219146i
\(696\) 2.09721 0.304627i 0.0794946 0.0115468i
\(697\) −31.5171 31.5171i −1.19380 1.19380i
\(698\) −21.1275 12.1980i −0.799688 0.461700i
\(699\) −18.6386 43.3520i −0.704975 1.63972i
\(700\) −0.959651 + 3.58147i −0.0362714 + 0.135367i
\(701\) −14.8844 −0.562176 −0.281088 0.959682i \(-0.590695\pi\)
−0.281088 + 0.959682i \(0.590695\pi\)
\(702\) 18.4970 2.97652i 0.698126 0.112341i
\(703\) −12.2259 −0.461108
\(704\) −0.916918 + 3.42199i −0.0345577 + 0.128971i
\(705\) 8.79462 + 20.4557i 0.331224 + 0.770405i
\(706\) 20.5687 + 11.8753i 0.774112 + 0.446933i
\(707\) 6.86394 + 6.86394i 0.258145 + 0.258145i
\(708\) 4.27558 0.621042i 0.160686 0.0233402i
\(709\) 19.0649 5.10841i 0.715996 0.191850i 0.117611 0.993060i \(-0.462476\pi\)
0.598384 + 0.801209i \(0.295810\pi\)
\(710\) −4.08840 + 4.08840i −0.153435 + 0.153435i
\(711\) −22.7200 + 23.9663i −0.852065 + 0.898806i
\(712\) 14.3256 8.27091i 0.536876 0.309965i
\(713\) −2.79803 0.749729i −0.104787 0.0280776i
\(714\) 1.48482 12.5726i 0.0555681 0.470519i
\(715\) 3.91748 13.9817i 0.146506 0.522885i
\(716\) 4.71721i 0.176290i
\(717\) 15.9833 40.0920i 0.596906 1.49726i
\(718\) 1.98898 + 3.44501i 0.0742280 + 0.128567i
\(719\) −13.3122 + 23.0574i −0.496462 + 0.859897i −0.999992 0.00408079i \(-0.998701\pi\)
0.503530 + 0.863978i \(0.332034\pi\)
\(720\) −1.78333 2.90680i −0.0664607 0.108330i
\(721\) −1.14224 4.26288i −0.0425391 0.158758i
\(722\) −1.49185 5.56767i −0.0555210 0.207207i
\(723\) 11.0612 + 14.0238i 0.411372 + 0.521549i
\(724\) 2.30962 4.00038i 0.0858363 0.148673i
\(725\) −2.26831 3.92883i −0.0842429 0.145913i
\(726\) −2.49498 0.994661i −0.0925975 0.0369153i
\(727\) 4.91686i 0.182356i 0.995835 + 0.0911782i \(0.0290633\pi\)
−0.995835 + 0.0911782i \(0.970937\pi\)
\(728\) 3.49309 0.893482i 0.129463 0.0331147i
\(729\) 20.5577 + 17.5037i 0.761397 + 0.648285i
\(730\) 17.6264 + 4.72297i 0.652381 + 0.174805i
\(731\) −16.1196 + 9.30664i −0.596204 + 0.344219i
\(732\) 4.54614 + 3.39296i 0.168030 + 0.125407i
\(733\) 11.6448 11.6448i 0.430111 0.430111i −0.458555 0.888666i \(-0.651633\pi\)
0.888666 + 0.458555i \(0.151633\pi\)
\(734\) 13.4186 3.59550i 0.495289 0.132712i
\(735\) 0.283019 + 1.94846i 0.0104393 + 0.0718699i
\(736\) 0.520815 + 0.520815i 0.0191975 + 0.0191975i
\(737\) 4.68538 + 2.70510i 0.172588 + 0.0996438i
\(738\) 17.5380 5.20471i 0.645583 0.191588i
\(739\) −13.4922 + 50.3536i −0.496318 + 1.85229i 0.0261982 + 0.999657i \(0.491660\pi\)
−0.522517 + 0.852629i \(0.675007\pi\)
\(740\) 2.79276 0.102664
\(741\) −30.8193 3.99595i −1.13218 0.146795i
\(742\) 7.87957 0.289268
\(743\) −8.74258 + 32.6278i −0.320734 + 1.19700i 0.597797 + 0.801648i \(0.296043\pi\)
−0.918531 + 0.395349i \(0.870624\pi\)
\(744\) 6.25806 2.69056i 0.229432 0.0986408i
\(745\) 1.57397 + 0.908730i 0.0576657 + 0.0332933i
\(746\) 3.37029 + 3.37029i 0.123395 + 0.123395i
\(747\) −42.7276 + 1.14064i −1.56332 + 0.0417338i
\(748\) −25.0122 + 6.70200i −0.914536 + 0.245049i
\(749\) 2.73582 2.73582i 0.0999647 0.0999647i
\(750\) −10.2547 + 13.7400i −0.374448 + 0.501713i
\(751\) −36.0862 + 20.8344i −1.31680 + 0.760257i −0.983213 0.182461i \(-0.941594\pi\)
−0.333591 + 0.942718i \(0.608260\pi\)
\(752\) 10.9235 + 2.92695i 0.398341 + 0.106735i
\(753\) 20.8178 + 2.45858i 0.758645 + 0.0895956i
\(754\) −2.24910 + 3.79512i −0.0819073 + 0.138210i
\(755\) 25.4556i 0.926425i
\(756\) 4.24568 + 2.99569i 0.154414 + 0.108952i
\(757\) −18.9919 32.8949i −0.690271 1.19558i −0.971749 0.236017i \(-0.924158\pi\)
0.281478 0.959568i \(-0.409175\pi\)
\(758\) −8.99671 + 15.5828i −0.326775 + 0.565991i
\(759\) −3.54855 + 2.79892i −0.128804 + 0.101594i
\(760\) 1.46410 + 5.46410i 0.0531085 + 0.198204i
\(761\) −4.65136 17.3591i −0.168612 0.629267i −0.997552 0.0699302i \(-0.977722\pi\)
0.828940 0.559337i \(-0.188944\pi\)
\(762\) −16.9573 + 13.3751i −0.614299 + 0.484528i
\(763\) −6.46130 + 11.1913i −0.233915 + 0.405152i
\(764\) −5.28087 9.14674i −0.191055 0.330917i
\(765\) 11.8827 21.9118i 0.429619 0.792221i
\(766\) 8.63412i 0.311963i
\(767\) −4.58524 + 7.73711i −0.165563 + 0.279371i
\(768\) −1.72010 0.203143i −0.0620686 0.00733028i
\(769\) −20.9539 5.61457i −0.755616 0.202467i −0.139608 0.990207i \(-0.544584\pi\)
−0.616008 + 0.787740i \(0.711251\pi\)
\(770\) 3.48762 2.01358i 0.125685 0.0725643i
\(771\) −11.2607 + 15.0879i −0.405543 + 0.543376i
\(772\) 3.57639 3.57639i 0.128717 0.128717i
\(773\) −17.9218 + 4.80214i −0.644604 + 0.172721i −0.566288 0.824207i \(-0.691621\pi\)
−0.0783160 + 0.996929i \(0.524954\pi\)
\(774\)