Properties

Label 546.2.bu.b.197.6
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 197.6
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.b.449.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(1.01587 + 1.40286i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-1.99319 - 1.99319i) q^{5} +(-1.61798 + 0.618168i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.936020 + 2.85024i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(1.01587 + 1.40286i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-1.99319 - 1.99319i) q^{5} +(-1.61798 + 0.618168i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.936020 + 2.85024i) q^{9} +(2.44115 - 1.40940i) q^{10} +(-3.39562 - 0.909853i) q^{11} +(-0.178340 - 1.72285i) q^{12} +(-3.11895 + 1.80892i) q^{13} -1.00000i q^{14} +(0.771343 - 4.82099i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.364026 - 0.630512i) q^{17} +(-2.51086 - 1.64182i) q^{18} +(-0.985142 - 3.67660i) q^{19} +(0.729559 + 2.72275i) q^{20} +(-1.34434 - 1.09213i) q^{21} +(1.75770 - 3.04443i) q^{22} +(-2.57429 - 4.45880i) q^{23} +(1.71030 + 0.273642i) q^{24} +2.94564i q^{25} +(-0.940036 - 3.48085i) q^{26} +(-4.94935 + 1.58237i) q^{27} +(0.965926 + 0.258819i) q^{28} +(-4.47106 + 2.58137i) q^{29} +(4.45708 + 1.99282i) q^{30} +(-4.56454 + 4.56454i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-2.17311 - 5.68786i) q^{33} +(0.514811 + 0.514811i) q^{34} +(2.44115 + 1.40940i) q^{35} +(2.23574 - 2.00037i) q^{36} +(1.73320 - 6.46839i) q^{37} +3.80629 q^{38} +(-5.70609 - 2.53782i) q^{39} -2.81880 q^{40} +(2.39422 - 8.93537i) q^{41} +(1.40286 - 1.01587i) q^{42} +(9.77091 + 5.64124i) q^{43} +(2.48576 + 2.48576i) q^{44} +(7.54675 - 3.81541i) q^{45} +(4.97314 - 1.33255i) q^{46} +(-7.98109 + 7.98109i) q^{47} +(-0.706976 + 1.58120i) q^{48} +(0.866025 - 0.500000i) q^{49} +(-2.84527 - 0.762387i) q^{50} +(1.25432 - 0.129841i) q^{51} +(3.60554 - 0.00709410i) q^{52} +8.37700i q^{53} +(-0.247463 - 5.19026i) q^{54} +(4.95461 + 8.58163i) q^{55} +(-0.500000 + 0.866025i) q^{56} +(4.15697 - 5.11696i) q^{57} +(-1.33621 - 4.98682i) q^{58} +(1.91793 + 7.15783i) q^{59} +(-3.07850 + 3.78943i) q^{60} +(-0.617982 + 1.07038i) q^{61} +(-3.22761 - 5.59039i) q^{62} +(0.166429 - 2.99538i) q^{63} -1.00000i q^{64} +(9.82218 + 2.61114i) q^{65} +(6.05649 - 0.626935i) q^{66} +(10.5323 + 2.82212i) q^{67} +(-0.630512 + 0.364026i) q^{68} +(3.63992 - 8.14091i) q^{69} +(-1.99319 + 1.99319i) q^{70} +(-4.48721 + 1.20234i) q^{71} +(1.35356 + 2.67729i) q^{72} +(-6.36810 - 6.36810i) q^{73} +(5.79940 + 3.34829i) q^{74} +(-4.13231 + 2.99238i) q^{75} +(-0.985142 + 3.67660i) q^{76} +3.51540 q^{77} +(3.92819 - 4.85483i) q^{78} -3.35978 q^{79} +(0.729559 - 2.72275i) q^{80} +(-7.24773 - 5.33576i) q^{81} +(8.01123 + 4.62529i) q^{82} +(-0.552914 - 0.552914i) q^{83} +(0.618168 + 1.61798i) q^{84} +(-1.98231 + 0.531158i) q^{85} +(-7.97792 + 7.97792i) q^{86} +(-8.16330 - 3.64993i) q^{87} +(-3.04443 + 1.75770i) q^{88} +(-7.13603 - 1.91209i) q^{89} +(1.73216 + 8.27710i) q^{90} +(2.54449 - 2.55452i) q^{91} +5.14858i q^{92} +(-11.0404 - 1.76642i) q^{93} +(-5.64349 - 9.77480i) q^{94} +(-5.36459 + 9.29175i) q^{95} +(-1.34434 - 1.09213i) q^{96} +(-2.54406 - 9.49457i) q^{97} +(0.258819 + 0.965926i) q^{98} +(5.77166 - 8.82668i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

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
\(3\) 1.01587 + 1.40286i 0.586512 + 0.809940i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −1.99319 1.99319i −0.891383 0.891383i 0.103270 0.994653i \(-0.467069\pi\)
−0.994653 + 0.103270i \(0.967069\pi\)
\(6\) −1.61798 + 0.618168i −0.660539 + 0.252366i
\(7\) −0.965926 + 0.258819i −0.365086 + 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −0.936020 + 2.85024i −0.312007 + 0.950080i
\(10\) 2.44115 1.40940i 0.771960 0.445692i
\(11\) −3.39562 0.909853i −1.02382 0.274331i −0.292425 0.956288i \(-0.594462\pi\)
−0.731392 + 0.681957i \(0.761129\pi\)
\(12\) −0.178340 1.72285i −0.0514822 0.497343i
\(13\) −3.11895 + 1.80892i −0.865040 + 0.501703i
\(14\) 1.00000i 0.267261i
\(15\) 0.771343 4.82099i 0.199160 1.24477i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 0.364026 0.630512i 0.0882894 0.152922i −0.818499 0.574508i \(-0.805193\pi\)
0.906788 + 0.421587i \(0.138527\pi\)
\(18\) −2.51086 1.64182i −0.591815 0.386981i
\(19\) −0.985142 3.67660i −0.226007 0.843470i −0.981999 0.188888i \(-0.939512\pi\)
0.755992 0.654581i \(-0.227155\pi\)
\(20\) 0.729559 + 2.72275i 0.163134 + 0.608826i
\(21\) −1.34434 1.09213i −0.293359 0.238322i
\(22\) 1.75770 3.04443i 0.374743 0.649074i
\(23\) −2.57429 4.45880i −0.536776 0.929724i −0.999075 0.0429994i \(-0.986309\pi\)
0.462299 0.886724i \(-0.347025\pi\)
\(24\) 1.71030 + 0.273642i 0.349113 + 0.0558570i
\(25\) 2.94564i 0.589127i
\(26\) −0.940036 3.48085i −0.184356 0.682651i
\(27\) −4.94935 + 1.58237i −0.952504 + 0.304527i
\(28\) 0.965926 + 0.258819i 0.182543 + 0.0489122i
\(29\) −4.47106 + 2.58137i −0.830255 + 0.479348i −0.853940 0.520372i \(-0.825793\pi\)
0.0236850 + 0.999719i \(0.492460\pi\)
\(30\) 4.45708 + 1.99282i 0.813748 + 0.363838i
\(31\) −4.56454 + 4.56454i −0.819815 + 0.819815i −0.986081 0.166266i \(-0.946829\pi\)
0.166266 + 0.986081i \(0.446829\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −2.17311 5.68786i −0.378290 0.990129i
\(34\) 0.514811 + 0.514811i 0.0882894 + 0.0882894i
\(35\) 2.44115 + 1.40940i 0.412630 + 0.238232i
\(36\) 2.23574 2.00037i 0.372623 0.333395i
\(37\) 1.73320 6.46839i 0.284936 1.06340i −0.663949 0.747777i \(-0.731121\pi\)
0.948886 0.315620i \(-0.102212\pi\)
\(38\) 3.80629 0.617463
\(39\) −5.70609 2.53782i −0.913706 0.406376i
\(40\) −2.81880 −0.445692
\(41\) 2.39422 8.93537i 0.373915 1.39547i −0.481009 0.876716i \(-0.659729\pi\)
0.854924 0.518754i \(-0.173604\pi\)
\(42\) 1.40286 1.01587i 0.216466 0.156752i
\(43\) 9.77091 + 5.64124i 1.49005 + 0.860281i 0.999935 0.0113765i \(-0.00362134\pi\)
0.490115 + 0.871658i \(0.336955\pi\)
\(44\) 2.48576 + 2.48576i 0.374743 + 0.374743i
\(45\) 7.54675 3.81541i 1.12500 0.568768i
\(46\) 4.97314 1.33255i 0.733250 0.196474i
\(47\) −7.98109 + 7.98109i −1.16416 + 1.16416i −0.180607 + 0.983555i \(0.557806\pi\)
−0.983555 + 0.180607i \(0.942194\pi\)
\(48\) −0.706976 + 1.58120i −0.102043 + 0.228226i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) −2.84527 0.762387i −0.402381 0.107818i
\(51\) 1.25432 0.129841i 0.175640 0.0181813i
\(52\) 3.60554 0.00709410i 0.499999 0.000983775i
\(53\) 8.37700i 1.15067i 0.817918 + 0.575335i \(0.195128\pi\)
−0.817918 + 0.575335i \(0.804872\pi\)
\(54\) −0.247463 5.19026i −0.0336754 0.706304i
\(55\) 4.95461 + 8.58163i 0.668079 + 1.15715i
\(56\) −0.500000 + 0.866025i −0.0668153 + 0.115728i
\(57\) 4.15697 5.11696i 0.550604 0.677757i
\(58\) −1.33621 4.98682i −0.175454 0.654801i
\(59\) 1.91793 + 7.15783i 0.249694 + 0.931870i 0.970966 + 0.239218i \(0.0768911\pi\)
−0.721272 + 0.692652i \(0.756442\pi\)
\(60\) −3.07850 + 3.78943i −0.397432 + 0.489213i
\(61\) −0.617982 + 1.07038i −0.0791245 + 0.137048i −0.902872 0.429909i \(-0.858546\pi\)
0.823748 + 0.566956i \(0.191879\pi\)
\(62\) −3.22761 5.59039i −0.409907 0.709981i
\(63\) 0.166429 2.99538i 0.0209681 0.377382i
\(64\) 1.00000i 0.125000i
\(65\) 9.82218 + 2.61114i 1.21829 + 0.323872i
\(66\) 6.05649 0.626935i 0.745503 0.0771704i
\(67\) 10.5323 + 2.82212i 1.28673 + 0.344777i 0.836416 0.548095i \(-0.184647\pi\)
0.450310 + 0.892872i \(0.351314\pi\)
\(68\) −0.630512 + 0.364026i −0.0764608 + 0.0441447i
\(69\) 3.63992 8.14091i 0.438195 0.980051i
\(70\) −1.99319 + 1.99319i −0.238232 + 0.238232i
\(71\) −4.48721 + 1.20234i −0.532534 + 0.142692i −0.515058 0.857155i \(-0.672230\pi\)
−0.0174756 + 0.999847i \(0.505563\pi\)
\(72\) 1.35356 + 2.67729i 0.159518 + 0.315522i
\(73\) −6.36810 6.36810i −0.745330 0.745330i 0.228268 0.973598i \(-0.426694\pi\)
−0.973598 + 0.228268i \(0.926694\pi\)
\(74\) 5.79940 + 3.34829i 0.674167 + 0.389230i
\(75\) −4.13231 + 2.99238i −0.477158 + 0.345530i
\(76\) −0.985142 + 3.67660i −0.113003 + 0.421735i
\(77\) 3.51540 0.400617
\(78\) 3.92819 4.85483i 0.444780 0.549701i
\(79\) −3.35978 −0.378005 −0.189002 0.981977i \(-0.560525\pi\)
−0.189002 + 0.981977i \(0.560525\pi\)
\(80\) 0.729559 2.72275i 0.0815672 0.304413i
\(81\) −7.24773 5.33576i −0.805304 0.592862i
\(82\) 8.01123 + 4.62529i 0.884692 + 0.510777i
\(83\) −0.552914 0.552914i −0.0606901 0.0606901i 0.676110 0.736800i \(-0.263664\pi\)
−0.736800 + 0.676110i \(0.763664\pi\)
\(84\) 0.618168 + 1.61798i 0.0674476 + 0.176536i
\(85\) −1.98231 + 0.531158i −0.215011 + 0.0576121i
\(86\) −7.97792 + 7.97792i −0.860281 + 0.860281i
\(87\) −8.16330 3.64993i −0.875198 0.391314i
\(88\) −3.04443 + 1.75770i −0.324537 + 0.187372i
\(89\) −7.13603 1.91209i −0.756418 0.202682i −0.140055 0.990144i \(-0.544728\pi\)
−0.616363 + 0.787462i \(0.711395\pi\)
\(90\) 1.73216 + 8.27710i 0.182586 + 0.872483i
\(91\) 2.54449 2.55452i 0.266735 0.267787i
\(92\) 5.14858i 0.536776i
\(93\) −11.0404 1.76642i −1.14483 0.183170i
\(94\) −5.64349 9.77480i −0.582081 1.00819i
\(95\) −5.36459 + 9.29175i −0.550396 + 0.953313i
\(96\) −1.34434 1.09213i −0.137206 0.111465i
\(97\) −2.54406 9.49457i −0.258310 0.964027i −0.966219 0.257723i \(-0.917028\pi\)
0.707908 0.706304i \(-0.249639\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) 5.77166 8.82668i 0.580074 0.887115i
\(100\) 1.47282 2.55100i 0.147282 0.255100i
\(101\) 9.49553 + 16.4467i 0.944840 + 1.63651i 0.756071 + 0.654490i \(0.227117\pi\)
0.188770 + 0.982021i \(0.439550\pi\)
\(102\) −0.199226 + 1.24519i −0.0197263 + 0.123292i
\(103\) 11.3278i 1.11616i −0.829786 0.558082i \(-0.811538\pi\)
0.829786 0.558082i \(-0.188462\pi\)
\(104\) −0.926331 + 3.48452i −0.0908342 + 0.341686i
\(105\) 0.502704 + 4.85636i 0.0490589 + 0.473932i
\(106\) −8.09157 2.16813i −0.785922 0.210587i
\(107\) −3.75177 + 2.16609i −0.362697 + 0.209403i −0.670263 0.742123i \(-0.733819\pi\)
0.307566 + 0.951527i \(0.400486\pi\)
\(108\) 5.07745 + 1.10431i 0.488578 + 0.106262i
\(109\) −7.29335 + 7.29335i −0.698576 + 0.698576i −0.964103 0.265527i \(-0.914454\pi\)
0.265527 + 0.964103i \(0.414454\pi\)
\(110\) −9.57157 + 2.56469i −0.912613 + 0.244534i
\(111\) 10.8349 4.13961i 1.02841 0.392914i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −2.28140 1.31717i −0.214616 0.123909i 0.388839 0.921306i \(-0.372876\pi\)
−0.603455 + 0.797397i \(0.706210\pi\)
\(114\) 3.86670 + 5.33969i 0.362149 + 0.500108i
\(115\) −3.75619 + 14.0183i −0.350267 + 1.30721i
\(116\) 5.16274 0.479348
\(117\) −2.23645 10.5829i −0.206760 0.978392i
\(118\) −7.41033 −0.682176
\(119\) −0.188434 + 0.703245i −0.0172737 + 0.0644664i
\(120\) −2.86353 3.95438i −0.261404 0.360984i
\(121\) 1.17611 + 0.679026i 0.106919 + 0.0617297i
\(122\) −0.873959 0.873959i −0.0791245 0.0791245i
\(123\) 14.9673 5.71841i 1.34955 0.515611i
\(124\) 6.23527 1.67074i 0.559944 0.150037i
\(125\) −4.09474 + 4.09474i −0.366245 + 0.366245i
\(126\) 2.85024 + 0.936020i 0.253920 + 0.0833873i
\(127\) −9.52716 + 5.50051i −0.845398 + 0.488091i −0.859096 0.511815i \(-0.828973\pi\)
0.0136972 + 0.999906i \(0.495640\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 2.01211 + 19.4380i 0.177157 + 1.71142i
\(130\) −5.06434 + 8.81168i −0.444172 + 0.772836i
\(131\) 10.7166i 0.936309i −0.883647 0.468155i \(-0.844919\pi\)
0.883647 0.468155i \(-0.155081\pi\)
\(132\) −0.961963 + 6.01239i −0.0837281 + 0.523311i
\(133\) 1.90315 + 3.29635i 0.165024 + 0.285830i
\(134\) −5.45192 + 9.44300i −0.470974 + 0.815751i
\(135\) 13.0190 + 6.71105i 1.12050 + 0.577596i
\(136\) −0.188434 0.703245i −0.0161581 0.0603028i
\(137\) 1.31518 + 4.90832i 0.112364 + 0.419346i 0.999076 0.0429746i \(-0.0136835\pi\)
−0.886713 + 0.462321i \(0.847017\pi\)
\(138\) 6.92144 + 5.62292i 0.589192 + 0.478654i
\(139\) −8.46041 + 14.6539i −0.717602 + 1.24292i 0.244345 + 0.969688i \(0.421427\pi\)
−0.961947 + 0.273235i \(0.911906\pi\)
\(140\) −1.40940 2.44115i −0.119116 0.206315i
\(141\) −19.3041 3.08859i −1.62570 0.260106i
\(142\) 4.64550i 0.389842i
\(143\) 12.2366 3.30460i 1.02328 0.276345i
\(144\) −2.93639 + 0.614503i −0.244699 + 0.0512086i
\(145\) 14.0568 + 3.76652i 1.16736 + 0.312793i
\(146\) 7.79930 4.50293i 0.645475 0.372665i
\(147\) 1.58120 + 0.706976i 0.130415 + 0.0583104i
\(148\) −4.73519 + 4.73519i −0.389230 + 0.389230i
\(149\) 14.9415 4.00356i 1.22405 0.327984i 0.411792 0.911278i \(-0.364903\pi\)
0.812261 + 0.583294i \(0.198236\pi\)
\(150\) −1.82090 4.76599i −0.148676 0.389141i
\(151\) 6.88747 + 6.88747i 0.560494 + 0.560494i 0.929448 0.368954i \(-0.120284\pi\)
−0.368954 + 0.929448i \(0.620284\pi\)
\(152\) −3.29635 1.90315i −0.267369 0.154366i
\(153\) 1.45638 + 1.62773i 0.117741 + 0.131595i
\(154\) −0.909853 + 3.39562i −0.0733180 + 0.273627i
\(155\) 18.1960 1.46154
\(156\) 3.67271 + 5.05086i 0.294052 + 0.404392i
\(157\) −11.9606 −0.954562 −0.477281 0.878751i \(-0.658378\pi\)
−0.477281 + 0.878751i \(0.658378\pi\)
\(158\) 0.869575 3.24530i 0.0691797 0.258182i
\(159\) −11.7517 + 8.50994i −0.931974 + 0.674882i
\(160\) 2.44115 + 1.40940i 0.192990 + 0.111423i
\(161\) 3.64059 + 3.64059i 0.286919 + 0.286919i
\(162\) 7.02980 5.61978i 0.552313 0.441531i
\(163\) 19.3241 5.17788i 1.51358 0.405563i 0.595958 0.803016i \(-0.296773\pi\)
0.917622 + 0.397453i \(0.130106\pi\)
\(164\) −6.54114 + 6.54114i −0.510777 + 0.510777i
\(165\) −7.00558 + 15.6684i −0.545384 + 1.21979i
\(166\) 0.677178 0.390969i 0.0525592 0.0303451i
\(167\) −15.1558 4.06098i −1.17279 0.314248i −0.380727 0.924687i \(-0.624326\pi\)
−0.792063 + 0.610439i \(0.790993\pi\)
\(168\) −1.72285 + 0.178340i −0.132920 + 0.0137592i
\(169\) 6.45565 11.2838i 0.496588 0.867986i
\(170\) 2.05224i 0.157399i
\(171\) 11.4013 + 0.633479i 0.871879 + 0.0484434i
\(172\) −5.64124 9.77091i −0.430141 0.745025i
\(173\) 8.54222 14.7956i 0.649453 1.12489i −0.333801 0.942644i \(-0.608331\pi\)
0.983254 0.182242i \(-0.0583355\pi\)
\(174\) 5.63838 6.94047i 0.427444 0.526156i
\(175\) −0.762387 2.84527i −0.0576310 0.215082i
\(176\) −0.909853 3.39562i −0.0685828 0.255954i
\(177\) −8.09304 + 9.96200i −0.608310 + 0.748790i
\(178\) 3.69388 6.39799i 0.276868 0.479550i
\(179\) 5.32102 + 9.21627i 0.397711 + 0.688856i 0.993443 0.114327i \(-0.0364712\pi\)
−0.595732 + 0.803183i \(0.703138\pi\)
\(180\) −8.44338 0.469131i −0.629332 0.0349670i
\(181\) 14.4885i 1.07692i −0.842650 0.538462i \(-0.819005\pi\)
0.842650 0.538462i \(-0.180995\pi\)
\(182\) 1.80892 + 3.11895i 0.134086 + 0.231192i
\(183\) −2.12938 + 0.220421i −0.157408 + 0.0162940i
\(184\) −4.97314 1.33255i −0.366625 0.0982369i
\(185\) −16.3474 + 9.43815i −1.20188 + 0.693907i
\(186\) 4.56369 10.2070i 0.334626 0.748413i
\(187\) −1.80977 + 1.80977i −0.132343 + 0.132343i
\(188\) 10.9024 2.92128i 0.795137 0.213056i
\(189\) 4.37116 2.80944i 0.317955 0.204356i
\(190\) −7.58668 7.58668i −0.550396 0.550396i
\(191\) 9.06835 + 5.23561i 0.656163 + 0.378836i 0.790813 0.612057i \(-0.209658\pi\)
−0.134651 + 0.990893i \(0.542991\pi\)
\(192\) 1.40286 1.01587i 0.101243 0.0733140i
\(193\) 2.90239 10.8319i 0.208919 0.779696i −0.779300 0.626651i \(-0.784425\pi\)
0.988219 0.153045i \(-0.0489081\pi\)
\(194\) 9.82950 0.705717
\(195\) 6.31499 + 16.4317i 0.452226 + 1.17670i
\(196\) −1.00000 −0.0714286
\(197\) −0.725744 + 2.70851i −0.0517071 + 0.192974i −0.986948 0.161038i \(-0.948516\pi\)
0.935241 + 0.354011i \(0.115183\pi\)
\(198\) 7.03211 + 7.85951i 0.499750 + 0.558551i
\(199\) −7.15988 4.13376i −0.507551 0.293034i 0.224276 0.974526i \(-0.427998\pi\)
−0.731826 + 0.681491i \(0.761332\pi\)
\(200\) 2.08288 + 2.08288i 0.147282 + 0.147282i
\(201\) 6.74041 + 17.6422i 0.475432 + 1.24439i
\(202\) −18.3440 + 4.91525i −1.29068 + 0.345836i
\(203\) 3.65061 3.65061i 0.256222 0.256222i
\(204\) −1.15120 0.514716i −0.0805998 0.0360373i
\(205\) −22.5821 + 13.0378i −1.57720 + 0.910597i
\(206\) 10.9418 + 2.93186i 0.762354 + 0.204272i
\(207\) 15.1182 3.16381i 1.05079 0.219900i
\(208\) −3.12604 1.79663i −0.216752 0.124574i
\(209\) 13.3807i 0.925559i
\(210\) −4.82099 0.771343i −0.332680 0.0532277i
\(211\) −1.30347 2.25767i −0.0897344 0.155425i 0.817664 0.575695i \(-0.195268\pi\)
−0.907399 + 0.420271i \(0.861935\pi\)
\(212\) 4.18850 7.25470i 0.287668 0.498255i
\(213\) −6.24513 5.07349i −0.427909 0.347630i
\(214\) −1.12125 4.18456i −0.0766470 0.286050i
\(215\) −8.23124 30.7194i −0.561366 2.09505i
\(216\) −2.38082 + 4.61863i −0.161994 + 0.314258i
\(217\) 3.22761 5.59039i 0.219105 0.379501i
\(218\) −5.15718 8.93249i −0.349288 0.604985i
\(219\) 2.46438 15.4027i 0.166528 1.04082i
\(220\) 9.90922i 0.668079i
\(221\) 0.00516488 + 2.62503i 0.000347427 + 0.176578i
\(222\) 1.19426 + 11.5372i 0.0801537 + 0.774323i
\(223\) 17.9143 + 4.80012i 1.19963 + 0.321440i 0.802685 0.596403i \(-0.203404\pi\)
0.396944 + 0.917843i \(0.370071\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) −8.39577 2.75717i −0.559718 0.183812i
\(226\) 1.86276 1.86276i 0.123909 0.123909i
\(227\) −21.1298 + 5.66172i −1.40244 + 0.375782i −0.879219 0.476418i \(-0.841935\pi\)
−0.523217 + 0.852200i \(0.675268\pi\)
\(228\) −6.15852 + 2.35293i −0.407858 + 0.155827i
\(229\) −5.94761 5.94761i −0.393029 0.393029i 0.482736 0.875766i \(-0.339643\pi\)
−0.875766 + 0.482736i \(0.839643\pi\)
\(230\) −12.5685 7.25640i −0.828740 0.478473i
\(231\) 3.57119 + 4.93161i 0.234967 + 0.324476i
\(232\) −1.33621 + 4.98682i −0.0877268 + 0.327401i
\(233\) −3.84393 −0.251824 −0.125912 0.992041i \(-0.540186\pi\)
−0.125912 + 0.992041i \(0.540186\pi\)
\(234\) 10.8012 + 0.578819i 0.706094 + 0.0378386i
\(235\) 31.8157 2.07543
\(236\) 1.91793 7.15783i 0.124847 0.465935i
\(237\) −3.41310 4.71329i −0.221705 0.306161i
\(238\) −0.630512 0.364026i −0.0408700 0.0235963i
\(239\) −10.3322 10.3322i −0.668335 0.668335i 0.288996 0.957330i \(-0.406679\pi\)
−0.957330 + 0.288996i \(0.906679\pi\)
\(240\) 4.56077 1.74249i 0.294397 0.112477i
\(241\) −6.36623 + 1.70583i −0.410085 + 0.109882i −0.457963 0.888971i \(-0.651421\pi\)
0.0478780 + 0.998853i \(0.484754\pi\)
\(242\) −0.960288 + 0.960288i −0.0617297 + 0.0617297i
\(243\) 0.122566 15.5880i 0.00786264 0.999969i
\(244\) 1.07038 0.617982i 0.0685238 0.0395623i
\(245\) −2.72275 0.729559i −0.173950 0.0466098i
\(246\) 1.64974 + 15.9373i 0.105184 + 1.01613i
\(247\) 9.72326 + 9.68507i 0.618676 + 0.616246i
\(248\) 6.45523i 0.409907i
\(249\) 0.213971 1.33735i 0.0135599 0.0847509i
\(250\) −2.89542 5.01501i −0.183122 0.317177i
\(251\) −0.974313 + 1.68756i −0.0614981 + 0.106518i −0.895135 0.445795i \(-0.852921\pi\)
0.833637 + 0.552312i \(0.186254\pi\)
\(252\) −1.64182 + 2.51086i −0.103425 + 0.158169i
\(253\) 4.68445 + 17.4826i 0.294509 + 1.09912i
\(254\) −2.84727 10.6262i −0.178654 0.666745i
\(255\) −2.75890 2.24131i −0.172769 0.140356i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −9.40181 16.2844i −0.586469 1.01579i −0.994691 0.102911i \(-0.967184\pi\)
0.408222 0.912883i \(-0.366149\pi\)
\(258\) −19.2964 3.08736i −1.20134 0.192211i
\(259\) 6.69657i 0.416105i
\(260\) −7.20069 7.17241i −0.446568 0.444814i
\(261\) −3.17252 15.1598i −0.196374 0.938368i
\(262\) 10.3514 + 2.77365i 0.639511 + 0.171357i
\(263\) 24.2157 13.9809i 1.49320 0.862100i 0.493232 0.869898i \(-0.335815\pi\)
0.999970 + 0.00779731i \(0.00248199\pi\)
\(264\) −5.55854 2.48530i −0.342105 0.152960i
\(265\) 16.6970 16.6970i 1.02569 1.02569i
\(266\) −3.67660 + 0.985142i −0.225427 + 0.0604029i
\(267\) −4.56688 11.9533i −0.279488 0.731529i
\(268\) −7.71018 7.71018i −0.470974 0.470974i
\(269\) −21.6706 12.5115i −1.32128 0.762842i −0.337348 0.941380i \(-0.609530\pi\)
−0.983933 + 0.178538i \(0.942863\pi\)
\(270\) −9.85194 + 10.8384i −0.599570 + 0.659605i
\(271\) 0.320708 1.19690i 0.0194816 0.0727065i −0.955501 0.294989i \(-0.904684\pi\)
0.974982 + 0.222282i \(0.0713507\pi\)
\(272\) 0.728053 0.0441447
\(273\) 6.16850 + 0.974496i 0.373334 + 0.0589792i
\(274\) −5.08147 −0.306983
\(275\) 2.68010 10.0023i 0.161616 0.603159i
\(276\) −7.22272 + 5.23028i −0.434757 + 0.314826i
\(277\) −17.5530 10.1342i −1.05466 0.608908i −0.130709 0.991421i \(-0.541725\pi\)
−0.923950 + 0.382513i \(0.875059\pi\)
\(278\) −11.9648 11.9648i −0.717602 0.717602i
\(279\) −8.73753 17.2825i −0.523102 1.03468i
\(280\) 2.72275 0.729559i 0.162716 0.0435995i
\(281\) −12.0057 + 12.0057i −0.716200 + 0.716200i −0.967825 0.251625i \(-0.919035\pi\)
0.251625 + 0.967825i \(0.419035\pi\)
\(282\) 7.97962 17.8469i 0.475179 1.06277i
\(283\) 0.701167 0.404819i 0.0416801 0.0240640i −0.479015 0.877807i \(-0.659006\pi\)
0.520695 + 0.853743i \(0.325673\pi\)
\(284\) 4.48721 + 1.20234i 0.266267 + 0.0713460i
\(285\) −18.4847 + 1.91344i −1.09494 + 0.113342i
\(286\) 0.0249386 + 12.6749i 0.00147465 + 0.749485i
\(287\) 9.25057i 0.546044i
\(288\) 0.166429 2.99538i 0.00980695 0.176504i
\(289\) 8.23497 + 14.2634i 0.484410 + 0.839023i
\(290\) −7.27636 + 12.6030i −0.427283 + 0.740075i
\(291\) 10.7351 13.2142i 0.629302 0.774630i
\(292\) 2.33089 + 8.69899i 0.136405 + 0.509070i
\(293\) −3.34213 12.4730i −0.195249 0.728680i −0.992202 0.124638i \(-0.960223\pi\)
0.796953 0.604041i \(-0.206444\pi\)
\(294\) −1.09213 + 1.34434i −0.0636943 + 0.0784035i
\(295\) 10.4441 18.0897i 0.608080 1.05323i
\(296\) −3.34829 5.79940i −0.194615 0.337083i
\(297\) 18.2458 0.869931i 1.05873 0.0504785i
\(298\) 15.4686i 0.896069i
\(299\) 16.0947 + 9.25008i 0.930778 + 0.534946i
\(300\) 5.07488 0.525324i 0.292998 0.0303296i
\(301\) −10.8980 2.92012i −0.628153 0.168313i
\(302\) −8.43539 + 4.87017i −0.485402 + 0.280247i
\(303\) −13.4262 + 30.0286i −0.771316 + 1.72510i
\(304\) 2.69146 2.69146i 0.154366 0.154366i
\(305\) 3.36522 0.901709i 0.192692 0.0516317i
\(306\) −1.94921 + 0.985462i −0.111429 + 0.0563351i
\(307\) 2.58025 + 2.58025i 0.147263 + 0.147263i 0.776894 0.629631i \(-0.216794\pi\)
−0.629631 + 0.776894i \(0.716794\pi\)
\(308\) −3.04443 1.75770i −0.173472 0.100154i
\(309\) 15.8913 11.5076i 0.904026 0.654643i
\(310\) −4.70947 + 17.5760i −0.267480 + 0.998249i
\(311\) 14.3612 0.814347 0.407173 0.913351i \(-0.366515\pi\)
0.407173 + 0.913351i \(0.366515\pi\)
\(312\) −5.82932 + 2.24031i −0.330020 + 0.126833i
\(313\) −11.0763 −0.626070 −0.313035 0.949742i \(-0.601346\pi\)
−0.313035 + 0.949742i \(0.601346\pi\)
\(314\) 3.09564 11.5531i 0.174697 0.651978i
\(315\) −6.30210 + 5.63864i −0.355083 + 0.317702i
\(316\) 2.90966 + 1.67989i 0.163681 + 0.0945012i
\(317\) −12.7384 12.7384i −0.715462 0.715462i 0.252210 0.967673i \(-0.418843\pi\)
−0.967673 + 0.252210i \(0.918843\pi\)
\(318\) −5.17840 13.5538i −0.290390 0.760062i
\(319\) 17.5307 4.69733i 0.981529 0.263000i
\(320\) −1.99319 + 1.99319i −0.111423 + 0.111423i
\(321\) −6.85002 3.06274i −0.382331 0.170945i
\(322\) −4.45880 + 2.57429i −0.248479 + 0.143459i
\(323\) −2.67676 0.717235i −0.148939 0.0399080i
\(324\) 3.60884 + 8.24477i 0.200491 + 0.458043i
\(325\) −5.32841 9.18728i −0.295567 0.509619i
\(326\) 20.0058i 1.10802i
\(327\) −17.6406 2.82244i −0.975529 0.156081i
\(328\) −4.62529 8.01123i −0.255389 0.442346i
\(329\) 5.64349 9.77480i 0.311135 0.538902i
\(330\) −13.3214 10.8222i −0.733317 0.595740i
\(331\) 2.54248 + 9.48865i 0.139747 + 0.521543i 0.999933 + 0.0115630i \(0.00368069\pi\)
−0.860186 + 0.509980i \(0.829653\pi\)
\(332\) 0.202380 + 0.755294i 0.0111071 + 0.0414521i
\(333\) 16.8142 + 10.9946i 0.921410 + 0.602499i
\(334\) 7.84522 13.5883i 0.429271 0.743520i
\(335\) −15.3679 26.6179i −0.839637 1.45429i
\(336\) 0.273642 1.71030i 0.0149284 0.0933044i
\(337\) 8.82967i 0.480983i 0.970651 + 0.240491i \(0.0773086\pi\)
−0.970651 + 0.240491i \(0.922691\pi\)
\(338\) 9.22849 + 9.15614i 0.501964 + 0.498029i
\(339\) −0.469806 4.53855i −0.0255164 0.246500i
\(340\) 1.98231 + 0.531158i 0.107506 + 0.0288061i
\(341\) 19.6525 11.3464i 1.06424 0.614440i
\(342\) −3.56277 + 10.8489i −0.192652 + 0.586639i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 10.8980 2.92012i 0.587583 0.157442i
\(345\) −23.4815 + 8.97135i −1.26420 + 0.483001i
\(346\) 12.0805 + 12.0805i 0.649453 + 0.649453i
\(347\) 2.00940 + 1.16013i 0.107870 + 0.0622788i 0.552964 0.833205i \(-0.313497\pi\)
−0.445094 + 0.895484i \(0.646830\pi\)
\(348\) 5.24466 + 7.24258i 0.281143 + 0.388243i
\(349\) −2.88614 + 10.7712i −0.154491 + 0.576569i 0.844657 + 0.535308i \(0.179804\pi\)
−0.999148 + 0.0412615i \(0.986862\pi\)
\(350\) 2.94564 0.157451
\(351\) 12.5744 13.8883i 0.671172 0.741302i
\(352\) 3.51540 0.187372
\(353\) 8.68039 32.3957i 0.462011 1.72425i −0.204604 0.978845i \(-0.565591\pi\)
0.666615 0.745402i \(-0.267743\pi\)
\(354\) −7.52792 10.3956i −0.400105 0.552522i
\(355\) 11.3404 + 6.54737i 0.601885 + 0.347498i
\(356\) 5.22394 + 5.22394i 0.276868 + 0.276868i
\(357\) −1.17798 + 0.450059i −0.0623452 + 0.0238196i
\(358\) −10.2794 + 2.75436i −0.543284 + 0.145572i
\(359\) −1.67236 + 1.67236i −0.0882636 + 0.0882636i −0.749860 0.661596i \(-0.769879\pi\)
0.661596 + 0.749860i \(0.269879\pi\)
\(360\) 2.63845 8.03426i 0.139059 0.423443i
\(361\) 3.90761 2.25606i 0.205664 0.118740i
\(362\) 13.9949 + 3.74991i 0.735553 + 0.197091i
\(363\) 0.242195 + 2.33971i 0.0127119 + 0.122803i
\(364\) −3.48085 + 0.940036i −0.182446 + 0.0492713i
\(365\) 25.3857i 1.32875i
\(366\) 0.338212 2.11387i 0.0176786 0.110494i
\(367\) −0.736212 1.27516i −0.0384299 0.0665626i 0.846171 0.532912i \(-0.178902\pi\)
−0.884601 + 0.466349i \(0.845569\pi\)
\(368\) 2.57429 4.45880i 0.134194 0.232431i
\(369\) 23.2269 + 15.1878i 1.20914 + 0.790645i
\(370\) −4.88555 18.2331i −0.253987 0.947894i
\(371\) −2.16813 8.09157i −0.112564 0.420093i
\(372\) 8.67803 + 7.04995i 0.449935 + 0.365523i
\(373\) −0.327301 + 0.566902i −0.0169470 + 0.0293531i −0.874375 0.485252i \(-0.838728\pi\)
0.857428 + 0.514605i \(0.172061\pi\)
\(374\) −1.27970 2.21650i −0.0661717 0.114613i
\(375\) −9.90406 1.58462i −0.511444 0.0818294i
\(376\) 11.2870i 0.582081i
\(377\) 9.27552 16.1389i 0.477713 0.831197i
\(378\) 1.58237 + 4.94935i 0.0813882 + 0.254567i
\(379\) 32.3766 + 8.67528i 1.66307 + 0.445619i 0.963230 0.268678i \(-0.0865866\pi\)
0.699843 + 0.714297i \(0.253253\pi\)
\(380\) 9.29175 5.36459i 0.476657 0.275198i
\(381\) −17.3948 7.77745i −0.891161 0.398451i
\(382\) −7.40428 + 7.40428i −0.378836 + 0.378836i
\(383\) −14.7596 + 3.95481i −0.754178 + 0.202081i −0.615370 0.788238i \(-0.710994\pi\)
−0.138807 + 0.990319i \(0.544327\pi\)
\(384\) 0.618168 + 1.61798i 0.0315457 + 0.0825673i
\(385\) −7.00688 7.00688i −0.357103 0.357103i
\(386\) 9.71160 + 5.60700i 0.494308 + 0.285389i
\(387\) −25.2247 + 22.5691i −1.28224 + 1.14725i
\(388\) −2.54406 + 9.49457i −0.129155 + 0.482014i
\(389\) 36.4856 1.84990 0.924948 0.380095i \(-0.124109\pi\)
0.924948 + 0.380095i \(0.124109\pi\)
\(390\) −17.5062 + 1.84697i −0.886463 + 0.0935251i
\(391\) −3.74844 −0.189567
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) 15.0338 10.8866i 0.758355 0.549157i
\(394\) −2.42839 1.40203i −0.122340 0.0706333i
\(395\) 6.69669 + 6.69669i 0.336947 + 0.336947i
\(396\) −9.41175 + 4.75830i −0.472958 + 0.239114i
\(397\) −5.14877 + 1.37961i −0.258409 + 0.0692406i −0.385698 0.922625i \(-0.626039\pi\)
0.127288 + 0.991866i \(0.459373\pi\)
\(398\) 5.84602 5.84602i 0.293034 0.293034i
\(399\) −2.69096 + 6.01850i −0.134716 + 0.301302i
\(400\) −2.55100 + 1.47282i −0.127550 + 0.0736409i
\(401\) 22.6088 + 6.05800i 1.12903 + 0.302522i 0.774531 0.632536i \(-0.217986\pi\)
0.354496 + 0.935058i \(0.384652\pi\)
\(402\) −18.7856 + 1.94459i −0.936942 + 0.0969872i
\(403\) 5.97968 22.4934i 0.297869 1.12048i
\(404\) 18.9911i 0.944840i
\(405\) 3.81093 + 25.0813i 0.189367 + 1.24630i
\(406\) 2.58137 + 4.47106i 0.128111 + 0.221895i
\(407\) −11.7706 + 20.3872i −0.583446 + 1.01056i
\(408\) 0.795129 0.978751i 0.0393647 0.0484554i
\(409\) −1.65310 6.16945i −0.0817405 0.305060i 0.912937 0.408102i \(-0.133809\pi\)
−0.994677 + 0.103042i \(0.967142\pi\)
\(410\) −6.74884 25.1870i −0.333302 1.24390i
\(411\) −5.54963 + 6.83123i −0.273743 + 0.336960i
\(412\) −5.66391 + 9.81018i −0.279041 + 0.483313i
\(413\) −3.70516 6.41753i −0.182319 0.315786i
\(414\) −0.856874 + 15.4219i −0.0421131 + 0.757947i
\(415\) 2.20413i 0.108196i
\(416\) 2.54449 2.55452i 0.124754 0.125246i
\(417\) −29.1519 + 3.01765i −1.42758 + 0.147775i
\(418\) −12.9247 3.46317i −0.632169 0.169389i
\(419\) 0.226652 0.130858i 0.0110727 0.00639281i −0.494453 0.869204i \(-0.664632\pi\)
0.505526 + 0.862811i \(0.331298\pi\)
\(420\) 1.99282 4.45708i 0.0972399 0.217483i
\(421\) −5.65910 + 5.65910i −0.275808 + 0.275808i −0.831433 0.555625i \(-0.812479\pi\)
0.555625 + 0.831433i \(0.312479\pi\)
\(422\) 2.51811 0.674724i 0.122579 0.0328451i
\(423\) −15.2776 30.2185i −0.742821 1.46927i
\(424\) 5.92344 + 5.92344i 0.287668 + 0.287668i
\(425\) 1.85726 + 1.07229i 0.0900903 + 0.0520137i
\(426\) 6.51697 4.71922i 0.315748 0.228647i
\(427\) 0.319891 1.19385i 0.0154806 0.0577744i
\(428\) 4.33217 0.209403
\(429\) 17.0667 + 13.8092i 0.823987 + 0.666712i
\(430\) 31.8031 1.53368
\(431\) −3.49232 + 13.0335i −0.168219 + 0.627802i 0.829389 + 0.558672i \(0.188689\pi\)
−0.997608 + 0.0691297i \(0.977978\pi\)
\(432\) −3.84505 3.49508i −0.184995 0.168157i
\(433\) −28.7358 16.5906i −1.38095 0.797294i −0.388681 0.921372i \(-0.627069\pi\)
−0.992272 + 0.124078i \(0.960403\pi\)
\(434\) 4.56454 + 4.56454i 0.219105 + 0.219105i
\(435\) 8.99603 + 23.5461i 0.431326 + 1.12895i
\(436\) 9.96290 2.66955i 0.477136 0.127848i
\(437\) −13.8572 + 13.8572i −0.662878 + 0.662878i
\(438\) 14.2400 + 6.36692i 0.680415 + 0.304223i
\(439\) −22.4807 + 12.9792i −1.07295 + 0.619465i −0.928985 0.370118i \(-0.879317\pi\)
−0.143961 + 0.989583i \(0.545984\pi\)
\(440\) 9.57157 + 2.56469i 0.456307 + 0.122267i
\(441\) 0.614503 + 2.93639i 0.0292620 + 0.139828i
\(442\) −2.53692 0.674418i −0.120669 0.0320788i
\(443\) 20.7981i 0.988147i 0.869420 + 0.494073i \(0.164493\pi\)
−0.869420 + 0.494073i \(0.835507\pi\)
\(444\) −11.4531 1.83247i −0.543542 0.0869650i
\(445\) 10.4123 + 18.0347i 0.493591 + 0.854925i
\(446\) −9.27312 + 16.0615i −0.439095 + 0.760535i
\(447\) 20.7950 + 16.8937i 0.983570 + 0.799044i
\(448\) 0.258819 + 0.965926i 0.0122281 + 0.0456357i
\(449\) 4.37599 + 16.3314i 0.206516 + 0.770727i 0.988982 + 0.148035i \(0.0472947\pi\)
−0.782466 + 0.622693i \(0.786039\pi\)
\(450\) 4.83621 7.39608i 0.227981 0.348655i
\(451\) −16.2597 + 28.1627i −0.765641 + 1.32613i
\(452\) 1.31717 + 2.28140i 0.0619543 + 0.107308i
\(453\) −2.66537 + 16.6589i −0.125230 + 0.782703i
\(454\) 21.8752i 1.02665i
\(455\) −10.1633 + 0.0199969i −0.476463 + 0.000937467i
\(456\) −0.678813 6.55766i −0.0317883 0.307090i
\(457\) −9.21456 2.46903i −0.431039 0.115496i 0.0367750 0.999324i \(-0.488292\pi\)
−0.467814 + 0.883827i \(0.654958\pi\)
\(458\) 7.28431 4.20560i 0.340373 0.196515i
\(459\) −0.803994 + 3.69665i −0.0375272 + 0.172545i
\(460\) 10.2621 10.2621i 0.478473 0.478473i
\(461\) 6.66260 1.78524i 0.310308 0.0831469i −0.100304 0.994957i \(-0.531982\pi\)
0.410613 + 0.911810i \(0.365315\pi\)
\(462\) −5.68786 + 2.17311i −0.264623 + 0.101102i
\(463\) −17.7904 17.7904i −0.826791 0.826791i 0.160280 0.987072i \(-0.448760\pi\)
−0.987072 + 0.160280i \(0.948760\pi\)
\(464\) −4.47106 2.58137i −0.207564 0.119837i
\(465\) 18.4848 + 25.5264i 0.857210 + 1.18376i
\(466\) 0.994882 3.71295i 0.0460870 0.171999i
\(467\) −2.31231 −0.107001 −0.0535006 0.998568i \(-0.517038\pi\)
−0.0535006 + 0.998568i \(0.517038\pi\)
\(468\) −3.35464 + 10.2833i −0.155068 + 0.475346i
\(469\) −10.9038 −0.503493
\(470\) −8.23451 + 30.7316i −0.379830 + 1.41754i
\(471\) −12.1504 16.7791i −0.559862 0.773138i
\(472\) 6.41753 + 3.70516i 0.295391 + 0.170544i
\(473\) −28.0456 28.0456i −1.28954 1.28954i
\(474\) 5.43607 2.07691i 0.249687 0.0953956i
\(475\) 10.8299 2.90187i 0.496911 0.133147i
\(476\) 0.514811 0.514811i 0.0235963 0.0235963i
\(477\) −23.8765 7.84104i −1.09323 0.359017i
\(478\) 12.6543 7.30597i 0.578795 0.334167i
\(479\) 34.7431 + 9.30939i 1.58745 + 0.425357i 0.941223 0.337785i \(-0.109678\pi\)
0.646230 + 0.763142i \(0.276344\pi\)
\(480\) 0.502704 + 4.85636i 0.0229452 + 0.221661i
\(481\) 6.29502 + 23.3098i 0.287028 + 1.06283i
\(482\) 6.59081i 0.300203i
\(483\) −1.40887 + 8.80560i −0.0641057 + 0.400669i
\(484\) −0.679026 1.17611i −0.0308648 0.0534595i
\(485\) −13.8537 + 23.9953i −0.629064 + 1.08957i
\(486\) 15.0251 + 4.15285i 0.681553 + 0.188377i
\(487\) −11.0476 41.2301i −0.500613 1.86831i −0.496000 0.868323i \(-0.665198\pi\)
−0.00461292 0.999989i \(-0.501468\pi\)
\(488\) 0.319891 + 1.19385i 0.0144808 + 0.0540430i
\(489\) 26.8946 + 21.8489i 1.21621 + 0.988042i
\(490\) 1.40940 2.44115i 0.0636702 0.110280i
\(491\) −13.1604 22.7945i −0.593922 1.02870i −0.993698 0.112090i \(-0.964246\pi\)
0.399777 0.916613i \(-0.369088\pi\)
\(492\) −15.8212 2.53135i −0.713276 0.114122i
\(493\) 3.75874i 0.169285i
\(494\) −11.8716 + 6.88527i −0.534130 + 0.309783i
\(495\) −29.0973 + 6.08924i −1.30783 + 0.273691i
\(496\) −6.23527 1.67074i −0.279972 0.0750183i
\(497\) 4.02312 2.32275i 0.180462 0.104190i
\(498\) 1.23640 + 0.552811i 0.0554043 + 0.0247721i
\(499\) −27.6807 + 27.6807i −1.23916 + 1.23916i −0.278812 + 0.960346i \(0.589941\pi\)
−0.960346 + 0.278812i \(0.910059\pi\)
\(500\) 5.59352 1.49878i 0.250150 0.0670275i
\(501\) −9.69932 25.3869i −0.433334 1.13420i
\(502\) −1.37789 1.37789i −0.0614981 0.0614981i
\(503\) 6.82482 + 3.94031i 0.304304 + 0.175690i 0.644375 0.764710i \(-0.277118\pi\)
−0.340071 + 0.940400i \(0.610451\pi\)
\(504\) −2.00037 2.23574i −0.0891036 0.0995876i
\(505\) 13.8551 51.7079i 0.616544 2.30097i
\(506\) −18.0993 −0.804613
\(507\) 22.3877 2.40653i 0.994272 0.106878i
\(508\) 11.0010 0.488091
\(509\) 8.44901 31.5321i 0.374496 1.39764i −0.479585 0.877496i \(-0.659213\pi\)
0.854080 0.520141i \(-0.174121\pi\)
\(510\) 2.87899 2.08480i 0.127484 0.0923166i
\(511\) 7.79930 + 4.50293i 0.345021 + 0.199198i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 10.6935 + 16.6379i 0.472132 + 0.734583i
\(514\) 18.1629 4.86673i 0.801131 0.214662i
\(515\) −22.5785 + 22.5785i −0.994929 + 0.994929i
\(516\) 7.97644 17.8398i 0.351143 0.785355i
\(517\) 34.3624 19.8391i 1.51126 0.872523i
\(518\) −6.46839 1.73320i −0.284205 0.0761524i
\(519\) 29.4339 3.04683i 1.29200 0.133741i
\(520\) 8.79169 5.09897i 0.385541 0.223605i
\(521\) 16.2159i 0.710432i 0.934784 + 0.355216i \(0.115593\pi\)
−0.934784 + 0.355216i \(0.884407\pi\)
\(522\) 15.4644 + 0.859231i 0.676856 + 0.0376075i
\(523\) 15.4175 + 26.7038i 0.674158 + 1.16768i 0.976714 + 0.214545i \(0.0688269\pi\)
−0.302556 + 0.953132i \(0.597840\pi\)
\(524\) −5.35828 + 9.28081i −0.234077 + 0.405434i
\(525\) 3.21702 3.95994i 0.140402 0.172826i
\(526\) 7.23706 + 27.0091i 0.315551 + 1.17765i
\(527\) 1.21638 + 4.53961i 0.0529865 + 0.197748i
\(528\) 3.83928 4.72590i 0.167083 0.205668i
\(529\) −1.75392 + 3.03787i −0.0762572 + 0.132081i
\(530\) 11.8066 + 20.4495i 0.512844 + 0.888272i
\(531\) −22.1967 1.23330i −0.963257 0.0535205i
\(532\) 3.80629i 0.165024i
\(533\) 8.69587 + 32.1999i 0.376660 + 1.39473i
\(534\) 12.7280 1.31753i 0.550793 0.0570151i
\(535\) 11.7954 + 3.16058i 0.509961 + 0.136644i
\(536\) 9.44300 5.45192i 0.407876 0.235487i
\(537\) −7.52366 + 16.8272i −0.324670 + 0.726145i
\(538\) 17.6940 17.6940i 0.762842 0.762842i
\(539\) −3.39562 + 0.909853i −0.146260 + 0.0391901i
\(540\) −7.91924 12.3214i −0.340790 0.530230i
\(541\) −3.40827 3.40827i −0.146533 0.146533i 0.630034 0.776567i \(-0.283041\pi\)
−0.776567 + 0.630034i \(0.783041\pi\)
\(542\) 1.07311 + 0.619561i 0.0460941 + 0.0266124i
\(543\) 20.3254 14.7185i 0.872245 0.631630i
\(544\) −0.188434 + 0.703245i −0.00807904 + 0.0301514i
\(545\) 29.0741 1.24540
\(546\) −2.53782 + 5.70609i −0.108608 + 0.244198i
\(547\) −31.0202 −1.32633 −0.663165 0.748474i \(-0.730787\pi\)
−0.663165 + 0.748474i \(0.730787\pi\)
\(548\) 1.31518 4.90832i 0.0561818 0.209673i
\(549\) −2.47239 2.76329i −0.105519 0.117934i
\(550\) 8.96778 + 5.17755i 0.382387 + 0.220771i
\(551\) 13.8953 + 13.8953i 0.591959 + 0.591959i
\(552\) −3.18268 8.33031i −0.135464 0.354561i
\(553\) 3.24530 0.869575i 0.138004 0.0369781i
\(554\) 14.3320 14.3320i 0.608908 0.608908i
\(555\) −29.8472 13.3451i −1.26694 0.566468i
\(556\) 14.6539 8.46041i 0.621462 0.358801i
\(557\) −16.1318 4.32251i −0.683528 0.183151i −0.0996868 0.995019i \(-0.531784\pi\)
−0.583841 + 0.811868i \(0.698451\pi\)
\(558\) 18.9551 3.96676i 0.802432 0.167926i
\(559\) −40.6795 + 0.0800391i −1.72056 + 0.00338529i
\(560\) 2.81880i 0.119116i
\(561\) −4.37733 0.700360i −0.184811 0.0295692i
\(562\) −8.48932 14.7039i −0.358100 0.620248i
\(563\) 1.15945 2.00823i 0.0488652 0.0846369i −0.840558 0.541721i \(-0.817773\pi\)
0.889423 + 0.457084i \(0.151106\pi\)
\(564\) 15.1735 + 12.3268i 0.638921 + 0.519054i
\(565\) 1.92190 + 7.17264i 0.0808551 + 0.301755i
\(566\) 0.209550 + 0.782050i 0.00880803 + 0.0328720i
\(567\) 8.38177 + 3.27810i 0.352001 + 0.137667i
\(568\) −2.32275 + 4.02312i −0.0974604 + 0.168806i
\(569\) −22.2778 38.5862i −0.933933 1.61762i −0.776526 0.630085i \(-0.783020\pi\)
−0.157407 0.987534i \(-0.550313\pi\)
\(570\) 2.93596 18.3501i 0.122974 0.768601i
\(571\) 12.9013i 0.539904i −0.962874 0.269952i \(-0.912992\pi\)
0.962874 0.269952i \(-0.0870079\pi\)
\(572\) −12.2495 3.25643i −0.512178 0.136158i
\(573\) 1.86743 + 18.0403i 0.0780132 + 0.753644i
\(574\) −8.93537 2.39422i −0.372955 0.0999330i
\(575\) 13.1340 7.58292i 0.547726 0.316230i
\(576\) 2.85024 + 0.936020i 0.118760 + 0.0390008i
\(577\) −15.7771 + 15.7771i −0.656810 + 0.656810i −0.954624 0.297814i \(-0.903742\pi\)
0.297814 + 0.954624i \(0.403742\pi\)
\(578\) −15.9087 + 4.26273i −0.661716 + 0.177306i
\(579\) 18.1440 6.93213i 0.754041 0.288089i
\(580\) −10.2903 10.2903i −0.427283 0.427283i
\(581\) 0.677178 + 0.390969i 0.0280941 + 0.0162201i
\(582\) 9.98549 + 13.7894i 0.413912 + 0.571589i
\(583\) 7.62184 28.4451i 0.315664 1.17808i
\(584\) −9.00586 −0.372665
\(585\) −16.6361 + 25.5515i −0.687820 + 1.05642i
\(586\) 12.9130 0.533430
\(587\) −7.86190 + 29.3410i −0.324495 + 1.21103i 0.590323 + 0.807167i \(0.299000\pi\)
−0.914818 + 0.403866i \(0.867666\pi\)
\(588\) −1.01587 1.40286i −0.0418937 0.0578529i
\(589\) 21.2787 + 12.2853i 0.876773 + 0.506205i
\(590\) 14.7702 + 14.7702i 0.608080 + 0.608080i
\(591\) −4.53692 + 1.73338i −0.186624 + 0.0713017i
\(592\) 6.46839 1.73320i 0.265849 0.0712341i
\(593\) −24.1780 + 24.1780i −0.992872 + 0.992872i −0.999975 0.00710251i \(-0.997739\pi\)
0.00710251 + 0.999975i \(0.497739\pi\)
\(594\) −3.88208 + 17.8493i −0.159284 + 0.732365i
\(595\) 1.77729 1.02612i 0.0728617 0.0420667i
\(596\) −14.9415 4.00356i −0.612027 0.163992i
\(597\) −1.47443 14.2437i −0.0603442 0.582954i
\(598\) −13.1005 + 13.1521i −0.535719 + 0.537831i
\(599\) 15.1141i 0.617547i −0.951136 0.308774i \(-0.900081\pi\)
0.951136 0.308774i \(-0.0999185\pi\)
\(600\) −0.806051 + 5.03792i −0.0329069 + 0.205672i
\(601\) 4.71337 + 8.16379i 0.192262 + 0.333008i 0.946000 0.324168i \(-0.105084\pi\)
−0.753737 + 0.657176i \(0.771751\pi\)
\(602\) 5.64124 9.77091i 0.229920 0.398233i
\(603\) −17.9022 + 27.3780i −0.729033 + 1.11492i
\(604\) −2.52099 9.40845i −0.102578 0.382825i
\(605\) −0.990780 3.69764i −0.0402809 0.150330i
\(606\) −25.5304 20.7407i −1.03710 0.842534i
\(607\) −9.49922 + 16.4531i −0.385561 + 0.667812i −0.991847 0.127435i \(-0.959326\pi\)
0.606285 + 0.795247i \(0.292659\pi\)
\(608\) 1.90315 + 3.29635i 0.0771828 + 0.133685i
\(609\) 8.82982 + 1.41274i 0.357802 + 0.0572472i
\(610\) 3.48394i 0.141060i
\(611\) 10.4555 39.3297i 0.422983 1.59111i
\(612\) −0.447391 2.13785i −0.0180847 0.0864173i
\(613\) −38.9897 10.4473i −1.57478 0.421961i −0.637476 0.770471i \(-0.720021\pi\)
−0.937305 + 0.348509i \(0.886688\pi\)
\(614\) −3.16015 + 1.82451i −0.127533 + 0.0736313i
\(615\) −41.2305 18.4348i −1.66258 0.743361i
\(616\) 2.48576 2.48576i 0.100154 0.100154i
\(617\) 10.3350 2.76924i 0.416070 0.111486i −0.0447101 0.999000i \(-0.514236\pi\)
0.460780 + 0.887514i \(0.347570\pi\)
\(618\) 7.00249 + 18.3282i 0.281682 + 0.737269i
\(619\) 6.05120 + 6.05120i 0.243218 + 0.243218i 0.818180 0.574962i \(-0.194983\pi\)
−0.574962 + 0.818180i \(0.694983\pi\)
\(620\) −15.7582 9.09800i −0.632865 0.365385i
\(621\) 19.7965 + 17.9947i 0.794407 + 0.722102i
\(622\) −3.71694 + 13.8718i −0.149036 + 0.556209i
\(623\) 7.38777 0.295985
\(624\) −0.655233 6.21053i −0.0262303 0.248620i
\(625\) 31.0514 1.24206
\(626\) 2.86676 10.6989i 0.114579 0.427613i
\(627\) −18.7712 + 13.5930i −0.749648 + 0.542852i
\(628\) 10.3582 + 5.98031i 0.413337 + 0.238640i
\(629\) −3.44747 3.44747i −0.137460 0.137460i
\(630\) −3.81541 7.54675i −0.152010 0.300670i
\(631\) −29.7092 + 7.96056i −1.18271 + 0.316905i −0.795999 0.605298i \(-0.793054\pi\)
−0.386706 + 0.922203i \(0.626387\pi\)
\(632\) −2.37572 + 2.37572i −0.0945012 + 0.0945012i
\(633\) 1.84304 4.12208i 0.0732543 0.163838i
\(634\) 15.6013 9.00744i 0.619609 0.357731i
\(635\) 29.9530 + 8.02589i 1.18865 + 0.318498i
\(636\) 14.4323 1.49395i 0.572277 0.0592390i
\(637\) −1.79663 + 3.12604i −0.0711850 + 0.123858i
\(638\) 18.1491i 0.718529i
\(639\) 0.773148 13.9150i 0.0305853 0.550470i
\(640\) −1.40940 2.44115i −0.0557114 0.0964950i
\(641\) −6.26281 + 10.8475i −0.247366 + 0.428451i −0.962794 0.270236i \(-0.912898\pi\)
0.715428 + 0.698687i \(0.246232\pi\)
\(642\) 4.73129 5.82391i 0.186729 0.229851i
\(643\) 3.15069 + 11.7585i 0.124251 + 0.463711i 0.999812 0.0193970i \(-0.00617463\pi\)
−0.875561 + 0.483108i \(0.839508\pi\)
\(644\) −1.33255 4.97314i −0.0525098 0.195969i
\(645\) 34.7331 42.7541i 1.36761 1.68344i
\(646\) 1.38559 2.39992i 0.0545154 0.0944234i
\(647\) 15.8407 + 27.4369i 0.622763 + 1.07866i 0.988969 + 0.148123i \(0.0473231\pi\)
−0.366206 + 0.930534i \(0.619344\pi\)
\(648\) −8.89788 + 1.35197i −0.349542 + 0.0531103i
\(649\) 26.0503i 1.02256i
\(650\) 10.2533 2.76900i 0.402169 0.108609i
\(651\) 11.1214 1.15122i 0.435880 0.0451200i
\(652\) −19.3241 5.17788i −0.756790 0.202781i
\(653\) 14.7400 8.51013i 0.576820 0.333027i −0.183049 0.983104i \(-0.558597\pi\)
0.759869 + 0.650077i \(0.225263\pi\)
\(654\) 7.29200 16.3090i 0.285140 0.637733i
\(655\) −21.3602 + 21.3602i −0.834610 + 0.834610i
\(656\) 8.93537 2.39422i 0.348867 0.0934788i
\(657\) 24.1113 12.1899i 0.940671 0.475575i
\(658\) 7.98109 + 7.98109i 0.311135 + 0.311135i
\(659\) 15.7410 + 9.08805i 0.613181 + 0.354020i 0.774209 0.632929i \(-0.218148\pi\)
−0.161028 + 0.986950i \(0.551481\pi\)
\(660\) 13.9012 10.0665i 0.541104 0.391837i
\(661\) −0.642795 + 2.39894i −0.0250018 + 0.0933081i −0.977299 0.211863i \(-0.932047\pi\)
0.952298 + 0.305171i \(0.0987136\pi\)
\(662\) −9.82337 −0.381796
\(663\) −3.67729 + 2.67393i −0.142814 + 0.103847i
\(664\) −0.781938 −0.0303451
\(665\) 2.77692 10.3636i 0.107684 0.401883i
\(666\) −14.9718 + 13.3956i −0.580144 + 0.519070i
\(667\) 23.0196 + 13.2904i 0.891322 + 0.514605i
\(668\) 11.0948 + 11.0948i 0.429271 + 0.429271i
\(669\) 11.4647 + 30.0075i 0.443250 + 1.16016i
\(670\) 29.6885 7.95500i 1.14697 0.307328i
\(671\) 3.07232 3.07232i 0.118605 0.118605i
\(672\) 1.58120 + 0.706976i 0.0609960 + 0.0272722i
\(673\) 20.7415 11.9751i 0.799528 0.461608i −0.0437782 0.999041i \(-0.513939\pi\)
0.843306 + 0.537434i \(0.180606\pi\)
\(674\) −8.52880 2.28529i −0.328517 0.0880259i
\(675\) −4.66108 14.5790i −0.179405 0.561146i
\(676\) −11.2327 + 6.54425i −0.432026 + 0.251702i
\(677\) 40.3255i 1.54983i 0.632063 + 0.774917i \(0.282208\pi\)
−0.632063 + 0.774917i \(0.717792\pi\)
\(678\) 4.50550 + 0.720865i 0.173033 + 0.0276847i
\(679\) 4.91475 + 8.51260i 0.188611 + 0.326683i
\(680\) −1.02612 + 1.77729i −0.0393498 + 0.0681559i
\(681\) −29.4077 23.8906i −1.12691 0.915489i
\(682\) 5.87331 + 21.9195i 0.224901 + 0.839341i
\(683\) 0.110006 + 0.410547i 0.00420925 + 0.0157091i 0.967999 0.250956i \(-0.0807449\pi\)
−0.963789 + 0.266665i \(0.914078\pi\)
\(684\) −9.55707 6.24926i −0.365424 0.238946i
\(685\) 7.16183 12.4046i 0.273639 0.473957i
\(686\) −0.500000 0.866025i −0.0190901 0.0330650i
\(687\) 2.30166 14.3856i 0.0878137 0.548847i
\(688\) 11.2825i 0.430141i
\(689\) −15.1533 26.1274i −0.577295 0.995376i
\(690\) −2.58821 25.0033i −0.0985314 0.951860i
\(691\) −48.2855 12.9381i −1.83687 0.492187i −0.838276 0.545247i \(-0.816436\pi\)
−0.998591 + 0.0530598i \(0.983103\pi\)
\(692\) −14.7956 + 8.54222i −0.562443 + 0.324727i
\(693\) −3.29049 + 10.0197i −0.124995 + 0.380618i
\(694\) −1.64066 + 1.64066i −0.0622788 + 0.0622788i
\(695\) 46.0712 12.3447i 1.74758 0.468262i
\(696\) −8.35322 + 3.19144i −0.316628 + 0.120971i
\(697\) −4.76230 4.76230i −0.180385 0.180385i
\(698\) −9.65720 5.57558i −0.365530 0.211039i
\(699\) −3.90493 5.39248i −0.147698 0.203962i
\(700\) −0.762387 + 2.84527i −0.0288155 + 0.107541i
\(701\) −11.2341 −0.424306 −0.212153 0.977236i \(-0.568047\pi\)
−0.212153 + 0.977236i \(0.568047\pi\)
\(702\) 10.1606 + 15.7405i 0.383486 + 0.594087i
\(703\) −25.4891 −0.961341
\(704\) −0.909853 + 3.39562i −0.0342914 + 0.127977i
\(705\) 32.3206 + 44.6329i 1.21726 + 1.68097i
\(706\) 29.0452 + 16.7692i 1.09313 + 0.631118i
\(707\) −13.4287 13.4287i −0.505038 0.505038i
\(708\) 11.9898 4.58083i 0.450604 0.172158i
\(709\) −38.7896 + 10.3936i −1.45677 + 0.390341i −0.898374 0.439230i \(-0.855251\pi\)
−0.558400 + 0.829572i \(0.688584\pi\)
\(710\) −9.25938 + 9.25938i −0.347498 + 0.347498i
\(711\) 3.14482 9.57618i 0.117940 0.359135i
\(712\) −6.39799 + 3.69388i −0.239775 + 0.138434i
\(713\) 32.1028 + 8.60191i 1.20226 + 0.322144i
\(714\) −0.129841 1.25432i −0.00485916 0.0469418i
\(715\) −30.9766 17.8032i −1.15846 0.665801i
\(716\) 10.6420i 0.397711i
\(717\) 3.99845 24.9908i 0.149325 0.933298i
\(718\) −1.18254 2.04821i −0.0441318 0.0764386i
\(719\) 17.8702 30.9520i 0.666444 1.15432i −0.312447 0.949935i \(-0.601149\pi\)
0.978892 0.204380i \(-0.0655179\pi\)
\(720\) 7.07761 + 4.62797i 0.263767 + 0.172474i
\(721\) 2.93186 + 10.9418i 0.109188 + 0.407495i
\(722\) 1.16782 + 4.35837i 0.0434619 + 0.162202i
\(723\) −8.86029 7.19802i −0.329518 0.267697i
\(724\) −7.24427 + 12.5474i −0.269231 + 0.466322i
\(725\) −7.60377 13.1701i −0.282397 0.489126i
\(726\) −2.32268 0.371621i −0.0862026 0.0137921i
\(727\) 14.5192i 0.538487i 0.963072 + 0.269243i \(0.0867736\pi\)
−0.963072 + 0.269243i \(0.913226\pi\)
\(728\) −0.00709410 3.60554i −0.000262925 0.133630i
\(729\) 21.9922 15.6634i 0.814527 0.580126i
\(730\) −24.5207 6.57031i −0.907552 0.243178i
\(731\) 7.11374 4.10712i 0.263111 0.151907i
\(732\) 1.95430 + 0.873797i 0.0722331 + 0.0322965i
\(733\) 27.5127 27.5127i 1.01620 1.01620i 0.0163377 0.999867i \(-0.494799\pi\)
0.999867 0.0163377i \(-0.00520068\pi\)
\(734\) 1.42225 0.381091i 0.0524963 0.0140663i
\(735\) −1.74249 4.56077i −0.0642728 0.168227i
\(736\) 3.64059 + 3.64059i 0.134194 + 0.134194i
\(737\) −33.1960 19.1657i −1.22279 0.705978i
\(738\) −20.6818 + 18.5046i −0.761309 + 0.681163i
\(739\) −3.19037 + 11.9066i −0.117360 + 0.437993i −0.999453 0.0330828i \(-0.989467\pi\)
0.882093 + 0.471076i \(0.156134\pi\)
\(740\) 18.8763 0.693907
\(741\) −3.70922 + 23.4791i −0.136262 + 0.862527i
\(742\) 8.37700 0.307530
\(743\) −10.2658 + 38.3125i −0.376616 + 1.40555i 0.474354 + 0.880334i \(0.342682\pi\)
−0.850970 + 0.525215i \(0.823985\pi\)
\(744\) −9.05577 + 6.55767i −0.332001 + 0.240416i
\(745\) −37.7611 21.8014i −1.38346 0.798741i
\(746\) −0.462873 0.462873i −0.0169470 0.0169470i
\(747\) 2.09347 1.05840i 0.0765962 0.0387248i
\(748\) 2.47219 0.662421i 0.0903922 0.0242205i
\(749\) 3.06331 3.06331i 0.111931 0.111931i
\(750\) 4.09398 9.15646i 0.149491 0.334347i
\(751\) 38.1001 21.9971i 1.39029 0.802685i 0.396944 0.917843i \(-0.370071\pi\)
0.993347 + 0.115158i \(0.0367375\pi\)
\(752\) −10.9024 2.92128i −0.397569 0.106528i
\(753\) −3.35718 + 0.347517i −0.122342 + 0.0126642i
\(754\) 13.1883 + 13.1365i 0.480290 + 0.478404i
\(755\) 27.4561i 0.999230i
\(756\) −5.19026 + 0.247463i −0.188768 + 0.00900013i
\(757\) −11.3904 19.7287i −0.413989 0.717051i 0.581332 0.813666i \(-0.302532\pi\)
−0.995322 + 0.0966154i \(0.969198\pi\)
\(758\) −16.7594 + 29.0280i −0.608727 + 1.05435i
\(759\) −19.7668 + 24.3316i −0.717490 + 0.883183i
\(760\) 2.77692 + 10.3636i 0.100729 + 0.375927i
\(761\) −0.257571 0.961267i −0.00933693 0.0348459i 0.961100 0.276200i \(-0.0890752\pi\)
−0.970437 + 0.241354i \(0.922409\pi\)
\(762\) 12.0145 14.7891i 0.435241 0.535753i
\(763\) 5.15718 8.93249i 0.186702 0.323378i
\(764\) −5.23561 9.06835i −0.189418 0.328081i
\(765\) 0.341552 6.14723i 0.0123489 0.222253i
\(766\) 15.2802i 0.552097i
\(767\) −18.9298 18.8555i −0.683517 0.680832i
\(768\) −1.72285 + 0.178340i −0.0621678 + 0.00643528i
\(769\) 22.0019 + 5.89538i 0.793408 + 0.212593i 0.632688 0.774407i \(-0.281952\pi\)
0.160720 + 0.987000i \(0.448618\pi\)
\(770\) 8.58163 4.95461i 0.309261 0.178552i
\(771\) 13.2937 29.7322i 0.478761 1.07078i
\(772\) −7.92949 + 7.92949i −0.285389 + 0.285389i
\(773\) −33.3906 + 8.94699i −1.20098 + 0.321801i −0.803216 0.595688i \(-0.796879\pi\)
−0.397761 + 0.917489i