Properties

Label 273.2.cg.a.115.4
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.4
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.a.19.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.759625 + 0.203541i) q^{2} +1.00000i q^{3} +(-1.19645 + 0.690770i) q^{4} +(2.02645 + 0.542987i) q^{5} +(-0.203541 - 0.759625i) q^{6} +(1.65876 + 2.06120i) q^{7} +(1.88042 - 1.88042i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.759625 + 0.203541i) q^{2} +1.00000i q^{3} +(-1.19645 + 0.690770i) q^{4} +(2.02645 + 0.542987i) q^{5} +(-0.203541 - 0.759625i) q^{6} +(1.65876 + 2.06120i) q^{7} +(1.88042 - 1.88042i) q^{8} -1.00000 q^{9} -1.64986 q^{10} +(-1.72874 + 1.72874i) q^{11} +(-0.690770 - 1.19645i) q^{12} +(-1.96880 - 3.02057i) q^{13} +(-1.67957 - 1.22811i) q^{14} +(-0.542987 + 2.02645i) q^{15} +(0.335869 - 0.581741i) q^{16} +(3.27669 + 5.67540i) q^{17} +(0.759625 - 0.203541i) q^{18} +(-5.66612 + 5.66612i) q^{19} +(-2.79963 + 0.750158i) q^{20} +(-2.06120 + 1.65876i) q^{21} +(0.961326 - 1.66506i) q^{22} +(3.33089 + 1.92309i) q^{23} +(1.88042 + 1.88042i) q^{24} +(-0.518448 - 0.299326i) q^{25} +(2.11036 + 1.89376i) q^{26} -1.00000i q^{27} +(-3.40843 - 1.32030i) q^{28} +(-1.25425 - 2.17242i) q^{29} -1.64986i q^{30} +(-0.122460 - 0.457027i) q^{31} +(-1.51329 + 5.64767i) q^{32} +(-1.72874 - 1.72874i) q^{33} +(-3.64424 - 3.64424i) q^{34} +(2.24219 + 5.07760i) q^{35} +(1.19645 - 0.690770i) q^{36} +(-1.83026 - 6.83063i) q^{37} +(3.15084 - 5.45741i) q^{38} +(3.02057 - 1.96880i) q^{39} +(4.83163 - 2.78954i) q^{40} +(11.0034 + 2.94834i) q^{41} +(1.22811 - 1.67957i) q^{42} +(0.810492 + 0.467938i) q^{43} +(0.874188 - 3.26252i) q^{44} +(-2.02645 - 0.542987i) q^{45} +(-2.92166 - 0.782855i) q^{46} +(1.88596 - 7.03848i) q^{47} +(0.581741 + 0.335869i) q^{48} +(-1.49706 + 6.83804i) q^{49} +(0.454751 + 0.121850i) q^{50} +(-5.67540 + 3.27669i) q^{51} +(4.44209 + 2.25396i) q^{52} +(-1.08341 + 1.87652i) q^{53} +(0.203541 + 0.759625i) q^{54} +(-4.44190 + 2.56453i) q^{55} +(6.99508 + 0.756757i) q^{56} +(-5.66612 - 5.66612i) q^{57} +(1.39493 + 1.39493i) q^{58} +(1.43782 - 5.36602i) q^{59} +(-0.750158 - 2.79963i) q^{60} -9.39241i q^{61} +(0.186047 + 0.322243i) q^{62} +(-1.65876 - 2.06120i) q^{63} -3.25466i q^{64} +(-2.34956 - 7.19007i) q^{65} +(1.66506 + 0.961326i) q^{66} +(8.15467 + 8.15467i) q^{67} +(-7.84080 - 4.52689i) q^{68} +(-1.92309 + 3.33089i) q^{69} +(-2.73672 - 3.40069i) q^{70} +(9.44098 - 2.52970i) q^{71} +(-1.88042 + 1.88042i) q^{72} +(9.79963 - 2.62580i) q^{73} +(2.78062 + 4.81618i) q^{74} +(0.299326 - 0.518448i) q^{75} +(2.86524 - 10.6932i) q^{76} +(-6.43083 - 0.695715i) q^{77} +(-1.89376 + 2.11036i) q^{78} +(1.07540 + 1.86264i) q^{79} +(0.996500 - 0.996500i) q^{80} +1.00000 q^{81} -8.95855 q^{82} +(-1.52436 + 1.52436i) q^{83} +(1.32030 - 3.40843i) q^{84} +(3.55840 + 13.2801i) q^{85} +(-0.710914 - 0.190489i) q^{86} +(2.17242 - 1.25425i) q^{87} +6.50152i q^{88} +(6.08297 - 1.62993i) q^{89} +1.64986 q^{90} +(2.96021 - 9.06847i) q^{91} -5.31366 q^{92} +(0.457027 - 0.122460i) q^{93} +5.73048i q^{94} +(-14.5588 + 8.40550i) q^{95} +(-5.64767 - 1.51329i) q^{96} +(-4.17950 - 15.5981i) q^{97} +(-0.254618 - 5.49906i) q^{98} +(1.72874 - 1.72874i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.759625 + 0.203541i −0.537136 + 0.143925i −0.517182 0.855876i \(-0.673019\pi\)
−0.0199545 + 0.999801i \(0.506352\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −1.19645 + 0.690770i −0.598225 + 0.345385i
\(5\) 2.02645 + 0.542987i 0.906258 + 0.242831i 0.681702 0.731630i \(-0.261240\pi\)
0.224556 + 0.974461i \(0.427907\pi\)
\(6\) −0.203541 0.759625i −0.0830952 0.310116i
\(7\) 1.65876 + 2.06120i 0.626951 + 0.779059i
\(8\) 1.88042 1.88042i 0.664829 0.664829i
\(9\) −1.00000 −0.333333
\(10\) −1.64986 −0.521733
\(11\) −1.72874 + 1.72874i −0.521235 + 0.521235i −0.917944 0.396709i \(-0.870152\pi\)
0.396709 + 0.917944i \(0.370152\pi\)
\(12\) −0.690770 1.19645i −0.199408 0.345385i
\(13\) −1.96880 3.02057i −0.546048 0.837754i
\(14\) −1.67957 1.22811i −0.448884 0.328227i
\(15\) −0.542987 + 2.02645i −0.140199 + 0.523228i
\(16\) 0.335869 0.581741i 0.0839672 0.145435i
\(17\) 3.27669 + 5.67540i 0.794715 + 1.37649i 0.923020 + 0.384752i \(0.125713\pi\)
−0.128305 + 0.991735i \(0.540954\pi\)
\(18\) 0.759625 0.203541i 0.179045 0.0479751i
\(19\) −5.66612 + 5.66612i −1.29990 + 1.29990i −0.371440 + 0.928457i \(0.621136\pi\)
−0.928457 + 0.371440i \(0.878864\pi\)
\(20\) −2.79963 + 0.750158i −0.626016 + 0.167740i
\(21\) −2.06120 + 1.65876i −0.449790 + 0.361970i
\(22\) 0.961326 1.66506i 0.204955 0.354993i
\(23\) 3.33089 + 1.92309i 0.694539 + 0.400992i 0.805310 0.592854i \(-0.201999\pi\)
−0.110771 + 0.993846i \(0.535332\pi\)
\(24\) 1.88042 + 1.88042i 0.383839 + 0.383839i
\(25\) −0.518448 0.299326i −0.103690 0.0598652i
\(26\) 2.11036 + 1.89376i 0.413876 + 0.371398i
\(27\) 1.00000i 0.192450i
\(28\) −3.40843 1.32030i −0.644133 0.249513i
\(29\) −1.25425 2.17242i −0.232908 0.403408i 0.725755 0.687954i \(-0.241491\pi\)
−0.958663 + 0.284545i \(0.908157\pi\)
\(30\) 1.64986i 0.301223i
\(31\) −0.122460 0.457027i −0.0219945 0.0820844i 0.954056 0.299628i \(-0.0968624\pi\)
−0.976051 + 0.217543i \(0.930196\pi\)
\(32\) −1.51329 + 5.64767i −0.267514 + 0.998377i
\(33\) −1.72874 1.72874i −0.300935 0.300935i
\(34\) −3.64424 3.64424i −0.624981 0.624981i
\(35\) 2.24219 + 5.07760i 0.378999 + 0.858271i
\(36\) 1.19645 0.690770i 0.199408 0.115128i
\(37\) −1.83026 6.83063i −0.300893 1.12295i −0.936423 0.350872i \(-0.885885\pi\)
0.635530 0.772076i \(-0.280782\pi\)
\(38\) 3.15084 5.45741i 0.511134 0.885309i
\(39\) 3.02057 1.96880i 0.483678 0.315261i
\(40\) 4.83163 2.78954i 0.763948 0.441065i
\(41\) 11.0034 + 2.94834i 1.71844 + 0.460454i 0.977468 0.211084i \(-0.0676993\pi\)
0.740970 + 0.671538i \(0.234366\pi\)
\(42\) 1.22811 1.67957i 0.189502 0.259163i
\(43\) 0.810492 + 0.467938i 0.123599 + 0.0713598i 0.560525 0.828138i \(-0.310599\pi\)
−0.436926 + 0.899497i \(0.643933\pi\)
\(44\) 0.874188 3.26252i 0.131789 0.491843i
\(45\) −2.02645 0.542987i −0.302086 0.0809437i
\(46\) −2.92166 0.782855i −0.430775 0.115426i
\(47\) 1.88596 7.03848i 0.275095 1.02667i −0.680683 0.732578i \(-0.738317\pi\)
0.955778 0.294090i \(-0.0950165\pi\)
\(48\) 0.581741 + 0.335869i 0.0839672 + 0.0484785i
\(49\) −1.49706 + 6.83804i −0.213865 + 0.976863i
\(50\) 0.454751 + 0.121850i 0.0643115 + 0.0172322i
\(51\) −5.67540 + 3.27669i −0.794715 + 0.458829i
\(52\) 4.44209 + 2.25396i 0.616007 + 0.312568i
\(53\) −1.08341 + 1.87652i −0.148818 + 0.257760i −0.930791 0.365552i \(-0.880880\pi\)
0.781973 + 0.623312i \(0.214213\pi\)
\(54\) 0.203541 + 0.759625i 0.0276984 + 0.103372i
\(55\) −4.44190 + 2.56453i −0.598945 + 0.345801i
\(56\) 6.99508 + 0.756757i 0.934756 + 0.101126i
\(57\) −5.66612 5.66612i −0.750496 0.750496i
\(58\) 1.39493 + 1.39493i 0.183164 + 0.183164i
\(59\) 1.43782 5.36602i 0.187188 0.698596i −0.806963 0.590601i \(-0.798891\pi\)
0.994152 0.107994i \(-0.0344428\pi\)
\(60\) −0.750158 2.79963i −0.0968450 0.361430i
\(61\) 9.39241i 1.20258i −0.799033 0.601288i \(-0.794655\pi\)
0.799033 0.601288i \(-0.205345\pi\)
\(62\) 0.186047 + 0.322243i 0.0236280 + 0.0409249i
\(63\) −1.65876 2.06120i −0.208984 0.259686i
\(64\) 3.25466i 0.406832i
\(65\) −2.34956 7.19007i −0.291427 0.891818i
\(66\) 1.66506 + 0.961326i 0.204955 + 0.118331i
\(67\) 8.15467 + 8.15467i 0.996252 + 0.996252i 0.999993 0.00374130i \(-0.00119090\pi\)
−0.00374130 + 0.999993i \(0.501191\pi\)
\(68\) −7.84080 4.52689i −0.950837 0.548966i
\(69\) −1.92309 + 3.33089i −0.231513 + 0.400992i
\(70\) −2.73672 3.40069i −0.327101 0.406461i
\(71\) 9.44098 2.52970i 1.12044 0.300221i 0.349377 0.936982i \(-0.386393\pi\)
0.771061 + 0.636762i \(0.219726\pi\)
\(72\) −1.88042 + 1.88042i −0.221610 + 0.221610i
\(73\) 9.79963 2.62580i 1.14696 0.307327i 0.365214 0.930924i \(-0.380996\pi\)
0.781746 + 0.623597i \(0.214329\pi\)
\(74\) 2.78062 + 4.81618i 0.323241 + 0.559870i
\(75\) 0.299326 0.518448i 0.0345632 0.0598652i
\(76\) 2.86524 10.6932i 0.328665 1.22660i
\(77\) −6.43083 0.695715i −0.732862 0.0792841i
\(78\) −1.89376 + 2.11036i −0.214427 + 0.238951i
\(79\) 1.07540 + 1.86264i 0.120992 + 0.209564i 0.920159 0.391545i \(-0.128059\pi\)
−0.799167 + 0.601109i \(0.794726\pi\)
\(80\) 0.996500 0.996500i 0.111412 0.111412i
\(81\) 1.00000 0.111111
\(82\) −8.95855 −0.989306
\(83\) −1.52436 + 1.52436i −0.167320 + 0.167320i −0.785801 0.618480i \(-0.787749\pi\)
0.618480 + 0.785801i \(0.287749\pi\)
\(84\) 1.32030 3.40843i 0.144056 0.371890i
\(85\) 3.55840 + 13.2801i 0.385963 + 1.44043i
\(86\) −0.710914 0.190489i −0.0766598 0.0205409i
\(87\) 2.17242 1.25425i 0.232908 0.134469i
\(88\) 6.50152i 0.693065i
\(89\) 6.08297 1.62993i 0.644793 0.172772i 0.0784195 0.996920i \(-0.475013\pi\)
0.566374 + 0.824149i \(0.308346\pi\)
\(90\) 1.64986 0.173911
\(91\) 2.96021 9.06847i 0.310315 0.950634i
\(92\) −5.31366 −0.553987
\(93\) 0.457027 0.122460i 0.0473915 0.0126985i
\(94\) 5.73048i 0.591053i
\(95\) −14.5588 + 8.40550i −1.49370 + 0.862386i
\(96\) −5.64767 1.51329i −0.576413 0.154449i
\(97\) −4.17950 15.5981i −0.424363 1.58375i −0.765309 0.643663i \(-0.777414\pi\)
0.340946 0.940083i \(-0.389253\pi\)
\(98\) −0.254618 5.49906i −0.0257203 0.555489i
\(99\) 1.72874 1.72874i 0.173745 0.173745i
\(100\) 0.827063 0.0827063
\(101\) −3.53983 −0.352226 −0.176113 0.984370i \(-0.556352\pi\)
−0.176113 + 0.984370i \(0.556352\pi\)
\(102\) 3.64424 3.64424i 0.360833 0.360833i
\(103\) 4.58234 + 7.93684i 0.451511 + 0.782041i 0.998480 0.0551124i \(-0.0175517\pi\)
−0.546969 + 0.837153i \(0.684218\pi\)
\(104\) −9.38211 1.97776i −0.919992 0.193935i
\(105\) −5.07760 + 2.24219i −0.495523 + 0.218815i
\(106\) 0.441036 1.64597i 0.0428372 0.159871i
\(107\) 1.00880 1.74729i 0.0975240 0.168917i −0.813135 0.582075i \(-0.802241\pi\)
0.910659 + 0.413158i \(0.135574\pi\)
\(108\) 0.690770 + 1.19645i 0.0664694 + 0.115128i
\(109\) 5.44016 1.45769i 0.521073 0.139621i 0.0113102 0.999936i \(-0.496400\pi\)
0.509763 + 0.860315i \(0.329733\pi\)
\(110\) 2.85219 2.85219i 0.271946 0.271946i
\(111\) 6.83063 1.83026i 0.648335 0.173721i
\(112\) 1.75621 0.272676i 0.165946 0.0257655i
\(113\) −6.20648 + 10.7499i −0.583857 + 1.01127i 0.411160 + 0.911563i \(0.365124\pi\)
−0.995017 + 0.0997064i \(0.968210\pi\)
\(114\) 5.45741 + 3.15084i 0.511134 + 0.295103i
\(115\) 5.70568 + 5.70568i 0.532058 + 0.532058i
\(116\) 3.00129 + 1.73279i 0.278663 + 0.160886i
\(117\) 1.96880 + 3.02057i 0.182016 + 0.279251i
\(118\) 4.36881i 0.402182i
\(119\) −6.26288 + 16.1680i −0.574117 + 1.48212i
\(120\) 2.78954 + 4.83163i 0.254649 + 0.441065i
\(121\) 5.02291i 0.456628i
\(122\) 1.91174 + 7.13471i 0.173081 + 0.645947i
\(123\) −2.94834 + 11.0034i −0.265843 + 0.992141i
\(124\) 0.462218 + 0.462218i 0.0415084 + 0.0415084i
\(125\) −8.30541 8.30541i −0.742859 0.742859i
\(126\) 1.67957 + 1.22811i 0.149628 + 0.109409i
\(127\) −9.05461 + 5.22768i −0.803467 + 0.463882i −0.844682 0.535269i \(-0.820210\pi\)
0.0412153 + 0.999150i \(0.486877\pi\)
\(128\) −2.36412 8.82303i −0.208961 0.779853i
\(129\) −0.467938 + 0.810492i −0.0411996 + 0.0713598i
\(130\) 3.24826 + 4.98352i 0.284891 + 0.437084i
\(131\) 18.0680 10.4315i 1.57860 0.911408i 0.583550 0.812077i \(-0.301663\pi\)
0.995055 0.0993303i \(-0.0316700\pi\)
\(132\) 3.26252 + 0.874188i 0.283965 + 0.0760883i
\(133\) −21.0777 2.28027i −1.82767 0.197725i
\(134\) −7.85430 4.53468i −0.678508 0.391737i
\(135\) 0.542987 2.02645i 0.0467328 0.174409i
\(136\) 16.8337 + 4.51058i 1.44348 + 0.386779i
\(137\) −10.8897 2.91789i −0.930370 0.249292i −0.238357 0.971178i \(-0.576609\pi\)
−0.692012 + 0.721886i \(0.743276\pi\)
\(138\) 0.782855 2.92166i 0.0666411 0.248708i
\(139\) 8.83314 + 5.09981i 0.749217 + 0.432561i 0.825411 0.564532i \(-0.190943\pi\)
−0.0761940 + 0.997093i \(0.524277\pi\)
\(140\) −6.19012 4.52625i −0.523161 0.382538i
\(141\) 7.03848 + 1.88596i 0.592747 + 0.158826i
\(142\) −6.65671 + 3.84325i −0.558618 + 0.322518i
\(143\) 8.62533 + 1.81822i 0.721286 + 0.152048i
\(144\) −0.335869 + 0.581741i −0.0279891 + 0.0484785i
\(145\) −1.36208 5.08335i −0.113115 0.422149i
\(146\) −6.90958 + 3.98925i −0.571841 + 0.330153i
\(147\) −6.83804 1.49706i −0.563992 0.123475i
\(148\) 6.90821 + 6.90821i 0.567852 + 0.567852i
\(149\) −3.32734 3.32734i −0.272586 0.272586i 0.557554 0.830140i \(-0.311740\pi\)
−0.830140 + 0.557554i \(0.811740\pi\)
\(150\) −0.121850 + 0.454751i −0.00994903 + 0.0371303i
\(151\) −0.151113 0.563961i −0.0122974 0.0458945i 0.959505 0.281693i \(-0.0908961\pi\)
−0.971802 + 0.235799i \(0.924229\pi\)
\(152\) 21.3094i 1.72842i
\(153\) −3.27669 5.67540i −0.264905 0.458829i
\(154\) 5.02663 0.780455i 0.405057 0.0628909i
\(155\) 0.992638i 0.0797306i
\(156\) −2.25396 + 4.44209i −0.180461 + 0.355652i
\(157\) −9.61395 5.55061i −0.767276 0.442987i 0.0646257 0.997910i \(-0.479415\pi\)
−0.831902 + 0.554922i \(0.812748\pi\)
\(158\) −1.19602 1.19602i −0.0951504 0.0951504i
\(159\) −1.87652 1.08341i −0.148818 0.0859199i
\(160\) −6.13322 + 10.6231i −0.484874 + 0.839826i
\(161\) 1.56127 + 10.0556i 0.123045 + 0.792489i
\(162\) −0.759625 + 0.203541i −0.0596818 + 0.0159917i
\(163\) −11.6512 + 11.6512i −0.912591 + 0.912591i −0.996475 0.0838846i \(-0.973267\pi\)
0.0838846 + 0.996475i \(0.473267\pi\)
\(164\) −15.2016 + 4.07326i −1.18705 + 0.318068i
\(165\) −2.56453 4.44190i −0.199648 0.345801i
\(166\) 0.847673 1.46821i 0.0657922 0.113955i
\(167\) −0.00245012 + 0.00914399i −0.000189596 + 0.000707583i −0.966021 0.258465i \(-0.916783\pi\)
0.965831 + 0.259173i \(0.0834499\pi\)
\(168\) −0.756757 + 6.99508i −0.0583851 + 0.539682i
\(169\) −5.24763 + 11.8938i −0.403664 + 0.914907i
\(170\) −5.40610 9.36364i −0.414629 0.718159i
\(171\) 5.66612 5.66612i 0.433299 0.433299i
\(172\) −1.29295 −0.0985865
\(173\) 20.9611 1.59365 0.796823 0.604213i \(-0.206512\pi\)
0.796823 + 0.604213i \(0.206512\pi\)
\(174\) −1.39493 + 1.39493i −0.105750 + 0.105750i
\(175\) −0.243009 1.56513i −0.0183697 0.118313i
\(176\) 0.425051 + 1.58631i 0.0320394 + 0.119573i
\(177\) 5.36602 + 1.43782i 0.403334 + 0.108073i
\(178\) −4.28902 + 2.47626i −0.321475 + 0.185604i
\(179\) 9.64897i 0.721198i 0.932721 + 0.360599i \(0.117428\pi\)
−0.932721 + 0.360599i \(0.882572\pi\)
\(180\) 2.79963 0.750158i 0.208672 0.0559135i
\(181\) −1.25766 −0.0934813 −0.0467407 0.998907i \(-0.514883\pi\)
−0.0467407 + 0.998907i \(0.514883\pi\)
\(182\) −0.402847 + 7.49116i −0.0298610 + 0.555282i
\(183\) 9.39241 0.694307
\(184\) 9.87970 2.64726i 0.728341 0.195158i
\(185\) 14.8358i 1.09075i
\(186\) −0.322243 + 0.186047i −0.0236280 + 0.0136416i
\(187\) −15.4759 4.14674i −1.13171 0.303240i
\(188\) 2.60552 + 9.72395i 0.190027 + 0.709192i
\(189\) 2.06120 1.65876i 0.149930 0.120657i
\(190\) 9.34833 9.34833i 0.678199 0.678199i
\(191\) 2.44502 0.176916 0.0884578 0.996080i \(-0.471806\pi\)
0.0884578 + 0.996080i \(0.471806\pi\)
\(192\) 3.25466 0.234885
\(193\) 12.1698 12.1698i 0.875999 0.875999i −0.117119 0.993118i \(-0.537366\pi\)
0.993118 + 0.117119i \(0.0373660\pi\)
\(194\) 6.34970 + 10.9980i 0.455882 + 0.789610i
\(195\) 7.19007 2.34956i 0.514891 0.168256i
\(196\) −2.93236 9.21550i −0.209454 0.658250i
\(197\) 6.05858 22.6109i 0.431656 1.61096i −0.317287 0.948329i \(-0.602772\pi\)
0.748944 0.662634i \(-0.230561\pi\)
\(198\) −0.961326 + 1.66506i −0.0683184 + 0.118331i
\(199\) −9.32077 16.1440i −0.660732 1.14442i −0.980424 0.196899i \(-0.936913\pi\)
0.319692 0.947521i \(-0.396421\pi\)
\(200\) −1.53776 + 0.412042i −0.108736 + 0.0291357i
\(201\) −8.15467 + 8.15467i −0.575186 + 0.575186i
\(202\) 2.68894 0.720500i 0.189193 0.0506942i
\(203\) 2.39729 6.18877i 0.168257 0.434366i
\(204\) 4.52689 7.84080i 0.316946 0.548966i
\(205\) 20.6969 + 11.9494i 1.44553 + 0.834580i
\(206\) −5.09633 5.09633i −0.355078 0.355078i
\(207\) −3.33089 1.92309i −0.231513 0.133664i
\(208\) −2.41845 + 0.130822i −0.167689 + 0.00907085i
\(209\) 19.5905i 1.35510i
\(210\) 3.40069 2.73672i 0.234670 0.188852i
\(211\) −5.61294 9.72190i −0.386411 0.669283i 0.605553 0.795805i \(-0.292952\pi\)
−0.991964 + 0.126522i \(0.959619\pi\)
\(212\) 2.99355i 0.205598i
\(213\) 2.52970 + 9.44098i 0.173332 + 0.646885i
\(214\) −0.410663 + 1.53261i −0.0280723 + 0.104767i
\(215\) 1.38834 + 1.38834i 0.0946840 + 0.0946840i
\(216\) −1.88042 1.88042i −0.127946 0.127946i
\(217\) 0.738891 1.01051i 0.0501592 0.0685979i
\(218\) −3.83579 + 2.21459i −0.259792 + 0.149991i
\(219\) 2.62580 + 9.79963i 0.177435 + 0.662197i
\(220\) 3.54300 6.13666i 0.238869 0.413734i
\(221\) 10.6918 21.0712i 0.719205 1.41740i
\(222\) −4.81618 + 2.78062i −0.323241 + 0.186623i
\(223\) −9.81982 2.63121i −0.657584 0.176199i −0.0854284 0.996344i \(-0.527226\pi\)
−0.572155 + 0.820145i \(0.693893\pi\)
\(224\) −14.1511 + 6.24893i −0.945513 + 0.417524i
\(225\) 0.518448 + 0.299326i 0.0345632 + 0.0199551i
\(226\) 2.52655 9.42920i 0.168063 0.627221i
\(227\) −6.35951 1.70402i −0.422095 0.113100i 0.0415179 0.999138i \(-0.486781\pi\)
−0.463613 + 0.886038i \(0.653447\pi\)
\(228\) 10.6932 + 2.86524i 0.708175 + 0.189755i
\(229\) 0.321690 1.20056i 0.0212578 0.0793354i −0.954482 0.298268i \(-0.903591\pi\)
0.975740 + 0.218933i \(0.0702576\pi\)
\(230\) −5.49552 3.17284i −0.362364 0.209211i
\(231\) 0.695715 6.43083i 0.0457747 0.423118i
\(232\) −6.44358 1.72655i −0.423042 0.113354i
\(233\) −12.6928 + 7.32822i −0.831536 + 0.480088i −0.854378 0.519652i \(-0.826062\pi\)
0.0228423 + 0.999739i \(0.492728\pi\)
\(234\) −2.11036 1.89376i −0.137959 0.123799i
\(235\) 7.64360 13.2391i 0.498614 0.863624i
\(236\) 1.98641 + 7.41337i 0.129304 + 0.482569i
\(237\) −1.86264 + 1.07540i −0.120992 + 0.0698545i
\(238\) 1.46659 13.5564i 0.0950647 0.878730i
\(239\) −4.85743 4.85743i −0.314201 0.314201i 0.532334 0.846535i \(-0.321315\pi\)
−0.846535 + 0.532334i \(0.821315\pi\)
\(240\) 0.996500 + 0.996500i 0.0643238 + 0.0643238i
\(241\) 4.94711 18.4629i 0.318671 1.18930i −0.601851 0.798608i \(-0.705570\pi\)
0.920522 0.390690i \(-0.127763\pi\)
\(242\) −1.02237 3.81553i −0.0657202 0.245271i
\(243\) 1.00000i 0.0641500i
\(244\) 6.48800 + 11.2375i 0.415352 + 0.719410i
\(245\) −6.74668 + 13.0441i −0.431030 + 0.833356i
\(246\) 8.95855i 0.571176i
\(247\) 28.2704 + 5.95941i 1.79880 + 0.379188i
\(248\) −1.08968 0.629127i −0.0691947 0.0399496i
\(249\) −1.52436 1.52436i −0.0966025 0.0966025i
\(250\) 7.99949 + 4.61851i 0.505932 + 0.292100i
\(251\) 1.37023 2.37330i 0.0864880 0.149802i −0.819536 0.573027i \(-0.805769\pi\)
0.906024 + 0.423226i \(0.139102\pi\)
\(252\) 3.40843 + 1.32030i 0.214711 + 0.0831709i
\(253\) −9.08277 + 2.43372i −0.571029 + 0.153007i
\(254\) 5.81406 5.81406i 0.364807 0.364807i
\(255\) −13.2801 + 3.55840i −0.831634 + 0.222836i
\(256\) 6.84635 + 11.8582i 0.427897 + 0.741139i
\(257\) −5.48074 + 9.49291i −0.341879 + 0.592152i −0.984782 0.173796i \(-0.944397\pi\)
0.642903 + 0.765948i \(0.277730\pi\)
\(258\) 0.190489 0.710914i 0.0118593 0.0442596i
\(259\) 11.0433 15.1029i 0.686198 0.938447i
\(260\) 7.77782 + 6.97955i 0.482360 + 0.432853i
\(261\) 1.25425 + 2.17242i 0.0776360 + 0.134469i
\(262\) −11.6016 + 11.6016i −0.716751 + 0.716751i
\(263\) −22.1190 −1.36392 −0.681958 0.731391i \(-0.738871\pi\)
−0.681958 + 0.731391i \(0.738871\pi\)
\(264\) −6.50152 −0.400141
\(265\) −3.21440 + 3.21440i −0.197459 + 0.197459i
\(266\) 16.4753 2.55802i 1.01016 0.156842i
\(267\) 1.62993 + 6.08297i 0.0997498 + 0.372271i
\(268\) −15.3897 4.12365i −0.940073 0.251892i
\(269\) 7.90566 4.56433i 0.482017 0.278292i −0.239240 0.970960i \(-0.576898\pi\)
0.721256 + 0.692668i \(0.243565\pi\)
\(270\) 1.64986i 0.100408i
\(271\) 18.7534 5.02495i 1.13919 0.305244i 0.360562 0.932735i \(-0.382585\pi\)
0.778624 + 0.627491i \(0.215918\pi\)
\(272\) 4.40216 0.266920
\(273\) 9.06847 + 2.96021i 0.548849 + 0.179160i
\(274\) 8.86600 0.535614
\(275\) 1.41372 0.378805i 0.0852505 0.0228428i
\(276\) 5.31366i 0.319845i
\(277\) −24.3199 + 14.0411i −1.46124 + 0.843649i −0.999069 0.0431410i \(-0.986264\pi\)
−0.462173 + 0.886790i \(0.652930\pi\)
\(278\) −7.74789 2.07604i −0.464688 0.124513i
\(279\) 0.122460 + 0.457027i 0.00733149 + 0.0273615i
\(280\) 13.7643 + 5.33177i 0.822573 + 0.318634i
\(281\) 3.79779 3.79779i 0.226557 0.226557i −0.584695 0.811253i \(-0.698786\pi\)
0.811253 + 0.584695i \(0.198786\pi\)
\(282\) −5.73048 −0.341245
\(283\) 1.38508 0.0823344 0.0411672 0.999152i \(-0.486892\pi\)
0.0411672 + 0.999152i \(0.486892\pi\)
\(284\) −9.54821 + 9.54821i −0.566582 + 0.566582i
\(285\) −8.40550 14.5588i −0.497899 0.862386i
\(286\) −6.92210 + 0.374439i −0.409312 + 0.0221410i
\(287\) 12.1748 + 27.5707i 0.718655 + 1.62745i
\(288\) 1.51329 5.64767i 0.0891715 0.332792i
\(289\) −12.9735 + 22.4707i −0.763144 + 1.32180i
\(290\) 2.06934 + 3.58420i 0.121516 + 0.210471i
\(291\) 15.5981 4.17950i 0.914376 0.245006i
\(292\) −9.91093 + 9.91093i −0.579993 + 0.579993i
\(293\) 17.3288 4.64324i 1.01236 0.271261i 0.285745 0.958306i \(-0.407759\pi\)
0.726615 + 0.687045i \(0.241092\pi\)
\(294\) 5.49906 0.254618i 0.320712 0.0148497i
\(295\) 5.82735 10.0933i 0.339281 0.587653i
\(296\) −16.2861 9.40280i −0.946612 0.546526i
\(297\) 1.72874 + 1.72874i 0.100312 + 0.100312i
\(298\) 3.20478 + 1.85028i 0.185648 + 0.107184i
\(299\) −0.749048 13.8474i −0.0433186 0.800813i
\(300\) 0.827063i 0.0477505i
\(301\) 0.379897 + 2.44678i 0.0218969 + 0.141030i
\(302\) 0.229578 + 0.397641i 0.0132107 + 0.0228817i
\(303\) 3.53983i 0.203358i
\(304\) 1.39315 + 5.19929i 0.0799024 + 0.298200i
\(305\) 5.09995 19.0333i 0.292023 1.08984i
\(306\) 3.64424 + 3.64424i 0.208327 + 0.208327i
\(307\) 5.47242 + 5.47242i 0.312327 + 0.312327i 0.845811 0.533483i \(-0.179117\pi\)
−0.533483 + 0.845811i \(0.679117\pi\)
\(308\) 8.17475 3.60984i 0.465799 0.205690i
\(309\) −7.93684 + 4.58234i −0.451511 + 0.260680i
\(310\) 0.202042 + 0.754032i 0.0114752 + 0.0428262i
\(311\) −3.27357 + 5.66998i −0.185627 + 0.321515i −0.943788 0.330553i \(-0.892765\pi\)
0.758161 + 0.652068i \(0.226098\pi\)
\(312\) 1.97776 9.38211i 0.111968 0.531158i
\(313\) −14.8538 + 8.57583i −0.839585 + 0.484735i −0.857123 0.515111i \(-0.827751\pi\)
0.0175379 + 0.999846i \(0.494417\pi\)
\(314\) 8.43277 + 2.25955i 0.475889 + 0.127514i
\(315\) −2.24219 5.07760i −0.126333 0.286090i
\(316\) −2.57332 1.48570i −0.144760 0.0835774i
\(317\) 4.15537 15.5081i 0.233389 0.871019i −0.745480 0.666528i \(-0.767780\pi\)
0.978869 0.204491i \(-0.0655538\pi\)
\(318\) 1.64597 + 0.441036i 0.0923014 + 0.0247321i
\(319\) 5.92382 + 1.58728i 0.331670 + 0.0888708i
\(320\) 1.76723 6.59541i 0.0987914 0.368695i
\(321\) 1.74729 + 1.00880i 0.0975240 + 0.0563055i
\(322\) −3.23270 7.32067i −0.180151 0.407965i
\(323\) −50.7236 13.5914i −2.82234 0.756243i
\(324\) −1.19645 + 0.690770i −0.0664694 + 0.0383761i
\(325\) 0.116588 + 2.15532i 0.00646715 + 0.119556i
\(326\) 6.47904 11.2220i 0.358841 0.621530i
\(327\) 1.45769 + 5.44016i 0.0806103 + 0.300842i
\(328\) 26.2351 15.1468i 1.44859 0.836345i
\(329\) 17.6360 7.78780i 0.972306 0.429355i
\(330\) 2.85219 + 2.85219i 0.157008 + 0.157008i
\(331\) −4.03496 4.03496i −0.221781 0.221781i 0.587467 0.809248i \(-0.300125\pi\)
−0.809248 + 0.587467i \(0.800125\pi\)
\(332\) 0.770838 2.87681i 0.0423052 0.157885i
\(333\) 1.83026 + 6.83063i 0.100298 + 0.374316i
\(334\) 0.00744470i 0.000407356i
\(335\) 12.0972 + 20.9529i 0.660940 + 1.14478i
\(336\) 0.272676 + 1.75621i 0.0148757 + 0.0958090i
\(337\) 6.54996i 0.356799i 0.983958 + 0.178399i \(0.0570919\pi\)
−0.983958 + 0.178399i \(0.942908\pi\)
\(338\) 1.56535 10.1029i 0.0851441 0.549527i
\(339\) −10.7499 6.20648i −0.583857 0.337090i
\(340\) −13.4310 13.4310i −0.728397 0.728397i
\(341\) 1.00178 + 0.578379i 0.0542496 + 0.0313210i
\(342\) −3.15084 + 5.45741i −0.170378 + 0.295103i
\(343\) −16.5778 + 8.25691i −0.895117 + 0.445831i
\(344\) 2.40399 0.644146i 0.129614 0.0347300i
\(345\) −5.70568 + 5.70568i −0.307184 + 0.307184i
\(346\) −15.9226 + 4.26645i −0.856005 + 0.229366i
\(347\) 11.4025 + 19.7498i 0.612120 + 1.06022i 0.990883 + 0.134729i \(0.0430163\pi\)
−0.378763 + 0.925494i \(0.623650\pi\)
\(348\) −1.73279 + 3.00129i −0.0928875 + 0.160886i
\(349\) 0.529316 1.97543i 0.0283336 0.105743i −0.950311 0.311302i \(-0.899235\pi\)
0.978645 + 0.205560i \(0.0659015\pi\)
\(350\) 0.503164 + 1.13945i 0.0268953 + 0.0609062i
\(351\) −3.02057 + 1.96880i −0.161226 + 0.105087i
\(352\) −7.14728 12.3795i −0.380951 0.659827i
\(353\) −18.2898 + 18.2898i −0.973469 + 0.973469i −0.999657 0.0261885i \(-0.991663\pi\)
0.0261885 + 0.999657i \(0.491663\pi\)
\(354\) −4.36881 −0.232200
\(355\) 20.5053 1.08831
\(356\) −6.15206 + 6.15206i −0.326058 + 0.326058i
\(357\) −16.1680 6.26288i −0.855702 0.331467i
\(358\) −1.96396 7.32960i −0.103798 0.387381i
\(359\) 14.5374 + 3.89528i 0.767255 + 0.205585i 0.621158 0.783685i \(-0.286662\pi\)
0.146096 + 0.989270i \(0.453329\pi\)
\(360\) −4.83163 + 2.78954i −0.254649 + 0.147022i
\(361\) 45.2098i 2.37946i
\(362\) 0.955352 0.255986i 0.0502122 0.0134543i
\(363\) −5.02291 −0.263634
\(364\) 2.72249 + 12.8948i 0.142697 + 0.675871i
\(365\) 21.2843 1.11407
\(366\) −7.13471 + 1.91174i −0.372937 + 0.0999283i
\(367\) 15.2972i 0.798506i 0.916841 + 0.399253i \(0.130730\pi\)
−0.916841 + 0.399253i \(0.869270\pi\)
\(368\) 2.23748 1.29181i 0.116637 0.0673403i
\(369\) −11.0034 2.94834i −0.572813 0.153485i
\(370\) 3.01968 + 11.2696i 0.156986 + 0.585879i
\(371\) −5.66499 + 0.879569i −0.294111 + 0.0456650i
\(372\) −0.462218 + 0.462218i −0.0239649 + 0.0239649i
\(373\) −20.4419 −1.05844 −0.529221 0.848484i \(-0.677516\pi\)
−0.529221 + 0.848484i \(0.677516\pi\)
\(374\) 12.5999 0.651524
\(375\) 8.30541 8.30541i 0.428890 0.428890i
\(376\) −9.68892 16.7817i −0.499668 0.865450i
\(377\) −4.09257 + 8.06561i −0.210778 + 0.415400i
\(378\) −1.22811 + 1.67957i −0.0631672 + 0.0863878i
\(379\) −1.64237 + 6.12940i −0.0843628 + 0.314846i −0.995193 0.0979355i \(-0.968776\pi\)
0.910830 + 0.412782i \(0.135443\pi\)
\(380\) 11.6125 20.1135i 0.595711 1.03180i
\(381\) −5.22768 9.05461i −0.267822 0.463882i
\(382\) −1.85730 + 0.497662i −0.0950277 + 0.0254626i
\(383\) −4.42655 + 4.42655i −0.226186 + 0.226186i −0.811097 0.584911i \(-0.801129\pi\)
0.584911 + 0.811097i \(0.301129\pi\)
\(384\) 8.82303 2.36412i 0.450248 0.120644i
\(385\) −12.6540 4.90169i −0.644909 0.249813i
\(386\) −6.76741 + 11.7215i −0.344452 + 0.596609i
\(387\) −0.810492 0.467938i −0.0411996 0.0237866i
\(388\) 15.7753 + 15.7753i 0.800867 + 0.800867i
\(389\) −4.72095 2.72564i −0.239362 0.138196i 0.375522 0.926814i \(-0.377464\pi\)
−0.614883 + 0.788618i \(0.710797\pi\)
\(390\) −4.98352 + 3.24826i −0.252351 + 0.164482i
\(391\) 25.2055i 1.27470i
\(392\) 10.0433 + 15.6735i 0.507263 + 0.791631i
\(393\) 10.4315 + 18.0680i 0.526201 + 0.911408i
\(394\) 18.4090i 0.927433i
\(395\) 1.16785 + 4.35848i 0.0587610 + 0.219299i
\(396\) −0.874188 + 3.26252i −0.0439296 + 0.163948i
\(397\) −6.77902 6.77902i −0.340229 0.340229i 0.516224 0.856453i \(-0.327337\pi\)
−0.856453 + 0.516224i \(0.827337\pi\)
\(398\) 10.3663 + 10.3663i 0.519614 + 0.519614i
\(399\) 2.28027 21.0777i 0.114156 1.05520i
\(400\) −0.348261 + 0.201069i −0.0174130 + 0.0100534i
\(401\) 9.70794 + 36.2305i 0.484791 + 1.80927i 0.580999 + 0.813904i \(0.302662\pi\)
−0.0962083 + 0.995361i \(0.530671\pi\)
\(402\) 4.53468 7.85430i 0.226169 0.391737i
\(403\) −1.13938 + 1.26969i −0.0567565 + 0.0632480i
\(404\) 4.23523 2.44521i 0.210710 0.121654i
\(405\) 2.02645 + 0.542987i 0.100695 + 0.0269812i
\(406\) −0.561378 + 5.18909i −0.0278607 + 0.257530i
\(407\) 14.9724 + 8.64434i 0.742156 + 0.428484i
\(408\) −4.51058 + 16.8337i −0.223307 + 0.833393i
\(409\) −29.6891 7.95517i −1.46803 0.393358i −0.565775 0.824559i \(-0.691423\pi\)
−0.902256 + 0.431202i \(0.858090\pi\)
\(410\) −18.1541 4.86437i −0.896566 0.240234i
\(411\) 2.91789 10.8897i 0.143929 0.537149i
\(412\) −10.9651 6.33069i −0.540210 0.311891i
\(413\) 13.4454 5.93728i 0.661605 0.292155i
\(414\) 2.92166 + 0.782855i 0.143592 + 0.0384752i
\(415\) −3.91676 + 2.26134i −0.192266 + 0.111005i
\(416\) 20.0385 6.54817i 0.982470 0.321050i
\(417\) −5.09981 + 8.83314i −0.249739 + 0.432561i
\(418\) 3.98747 + 14.8814i 0.195034 + 0.727875i
\(419\) −20.2493 + 11.6909i −0.989241 + 0.571138i −0.905047 0.425311i \(-0.860165\pi\)
−0.0841936 + 0.996449i \(0.526831\pi\)
\(420\) 4.52625 6.19012i 0.220859 0.302047i
\(421\) 14.1492 + 14.1492i 0.689589 + 0.689589i 0.962141 0.272552i \(-0.0878676\pi\)
−0.272552 + 0.962141i \(0.587868\pi\)
\(422\) 6.24254 + 6.24254i 0.303882 + 0.303882i
\(423\) −1.88596 + 7.03848i −0.0916983 + 0.342223i
\(424\) 1.49138 + 5.56591i 0.0724279 + 0.270305i
\(425\) 3.92320i 0.190303i
\(426\) −3.84325 6.65671i −0.186206 0.322518i
\(427\) 19.3596 15.5797i 0.936877 0.753956i
\(428\) 2.78739i 0.134733i
\(429\) −1.81822 + 8.62533i −0.0877847 + 0.416435i
\(430\) −1.33720 0.772034i −0.0644856 0.0372308i
\(431\) 9.32545 + 9.32545i 0.449191 + 0.449191i 0.895086 0.445894i \(-0.147114\pi\)
−0.445894 + 0.895086i \(0.647114\pi\)
\(432\) −0.581741 0.335869i −0.0279891 0.0161595i
\(433\) 5.53868 9.59327i 0.266172 0.461023i −0.701698 0.712474i \(-0.747574\pi\)
0.967870 + 0.251451i \(0.0809078\pi\)
\(434\) −0.355600 + 0.918003i −0.0170693 + 0.0440656i
\(435\) 5.08335 1.36208i 0.243728 0.0653067i
\(436\) −5.50195 + 5.50195i −0.263496 + 0.263496i
\(437\) −29.7697 + 7.97676i −1.42408 + 0.381580i
\(438\) −3.98925 6.90958i −0.190614 0.330153i
\(439\) 6.61652 11.4601i 0.315789 0.546963i −0.663816 0.747896i \(-0.731064\pi\)
0.979605 + 0.200933i \(0.0643974\pi\)
\(440\) −3.53024 + 13.1750i −0.168298 + 0.628095i
\(441\) 1.49706 6.83804i 0.0712885 0.325621i
\(442\) −3.83287 + 18.1824i −0.182311 + 0.864850i
\(443\) 2.45582 + 4.25360i 0.116679 + 0.202095i 0.918450 0.395537i \(-0.129442\pi\)
−0.801770 + 0.597632i \(0.796108\pi\)
\(444\) −6.90821 + 6.90821i −0.327849 + 0.327849i
\(445\) 13.2119 0.626303
\(446\) 7.99494 0.378571
\(447\) 3.32734 3.32734i 0.157378 0.157378i
\(448\) 6.70849 5.39868i 0.316946 0.255064i
\(449\) 0.246197 + 0.918821i 0.0116188 + 0.0433618i 0.971492 0.237073i \(-0.0761880\pi\)
−0.959873 + 0.280435i \(0.909521\pi\)
\(450\) −0.454751 0.121850i −0.0214372 0.00574407i
\(451\) −24.1189 + 13.9251i −1.13572 + 0.655705i
\(452\) 17.1490i 0.806622i
\(453\) 0.563961 0.151113i 0.0264972 0.00709990i
\(454\) 5.17768 0.243001
\(455\) 10.9228 16.7695i 0.512068 0.786165i
\(456\) −21.3094 −0.997903
\(457\) 18.5842 4.97961i 0.869331 0.232937i 0.203533 0.979068i \(-0.434758\pi\)
0.665798 + 0.746132i \(0.268091\pi\)
\(458\) 0.977454i 0.0456734i
\(459\) 5.67540 3.27669i 0.264905 0.152943i
\(460\) −10.7679 2.88524i −0.502055 0.134525i
\(461\) −1.66867 6.22758i −0.0777179 0.290047i 0.916118 0.400909i \(-0.131306\pi\)
−0.993836 + 0.110862i \(0.964639\pi\)
\(462\) 0.780455 + 5.02663i 0.0363101 + 0.233860i
\(463\) 7.67988 7.67988i 0.356914 0.356914i −0.505760 0.862674i \(-0.668788\pi\)
0.862674 + 0.505760i \(0.168788\pi\)
\(464\) −1.68505 −0.0782265
\(465\) 0.992638 0.0460325
\(466\) 8.15021 8.15021i 0.377551 0.377551i
\(467\) 10.7238 + 18.5741i 0.496236 + 0.859507i 0.999991 0.00434034i \(-0.00138158\pi\)
−0.503754 + 0.863847i \(0.668048\pi\)
\(468\) −4.44209 2.25396i −0.205336 0.104189i
\(469\) −3.28177 + 30.3350i −0.151538 + 1.40074i
\(470\) −3.11157 + 11.6125i −0.143526 + 0.535647i
\(471\) 5.55061 9.61395i 0.255759 0.442987i
\(472\) −7.38666 12.7941i −0.339999 0.588895i
\(473\) −2.21007 + 0.592187i −0.101619 + 0.0272288i
\(474\) 1.19602 1.19602i 0.0549351 0.0549351i
\(475\) 4.63361 1.24157i 0.212604 0.0569672i
\(476\) −3.67517 23.6704i −0.168451 1.08493i
\(477\) 1.08341 1.87652i 0.0496059 0.0859199i
\(478\) 4.67851 + 2.70114i 0.213990 + 0.123547i
\(479\) −12.8006 12.8006i −0.584876 0.584876i 0.351363 0.936239i \(-0.385718\pi\)
−0.936239 + 0.351363i \(0.885718\pi\)
\(480\) −10.6231 6.13322i −0.484874 0.279942i
\(481\) −17.0289 + 18.9766i −0.776453 + 0.865258i
\(482\) 15.0318i 0.684680i
\(483\) −10.0556 + 1.56127i −0.457544 + 0.0710401i
\(484\) −3.46968 6.00966i −0.157713 0.273166i
\(485\) 33.8782i 1.53833i
\(486\) −0.203541 0.759625i −0.00923280 0.0344573i
\(487\) 1.86380 6.95580i 0.0844569 0.315197i −0.910754 0.412949i \(-0.864499\pi\)
0.995211 + 0.0977522i \(0.0311653\pi\)
\(488\) −17.6617 17.6617i −0.799507 0.799507i
\(489\) −11.6512 11.6512i −0.526885 0.526885i
\(490\) 2.46994 11.2818i 0.111581 0.509662i
\(491\) −24.3966 + 14.0854i −1.10101 + 0.635666i −0.936485 0.350708i \(-0.885941\pi\)
−0.164520 + 0.986374i \(0.552608\pi\)
\(492\) −4.07326 15.2016i −0.183637 0.685342i
\(493\) 8.21957 14.2367i 0.370191 0.641190i
\(494\) −22.6879 + 1.22726i −1.02077 + 0.0552170i
\(495\) 4.44190 2.56453i 0.199648 0.115267i
\(496\) −0.307002 0.0822609i −0.0137848 0.00369362i
\(497\) 20.8745 + 15.2636i 0.936349 + 0.684664i
\(498\) 1.46821 + 0.847673i 0.0657922 + 0.0379852i
\(499\) 5.44491 20.3207i 0.243748 0.909678i −0.730261 0.683168i \(-0.760602\pi\)
0.974009 0.226510i \(-0.0727317\pi\)
\(500\) 15.6741 + 4.19987i 0.700969 + 0.187824i
\(501\) −0.00914399 0.00245012i −0.000408523 0.000109463i
\(502\) −0.557794 + 2.08172i −0.0248956 + 0.0929116i
\(503\) 18.9822 + 10.9594i 0.846374 + 0.488655i 0.859426 0.511260i \(-0.170821\pi\)
−0.0130514 + 0.999915i \(0.504155\pi\)
\(504\) −6.99508 0.756757i −0.311585 0.0337086i
\(505\) −7.17330 1.92208i −0.319208 0.0855314i
\(506\) 6.40414 3.69743i 0.284699 0.164371i
\(507\) −11.8938 5.24763i −0.528222 0.233055i
\(508\) 7.22226 12.5093i 0.320436 0.555011i
\(509\) 0.779515 + 2.90919i 0.0345514 + 0.128948i 0.981047 0.193768i \(-0.0620709\pi\)
−0.946496 + 0.322716i \(0.895404\pi\)
\(510\) 9.36364 5.40610i 0.414629 0.239386i
\(511\) 21.6675 + 15.8434i 0.958513 + 0.700870i
\(512\) 5.30352 + 5.30352i 0.234385 + 0.234385i
\(513\) 5.66612 + 5.66612i 0.250165 + 0.250165i
\(514\) 2.23111 8.32661i 0.0984100 0.367271i
\(515\) 4.97630 + 18.5718i 0.219282 + 0.818371i
\(516\) 1.29295i 0.0569189i
\(517\) 8.90738 + 15.4280i 0.391746 + 0.678525i
\(518\) −5.31472 + 13.7203i −0.233515 + 0.602835i
\(519\) 20.9611i 0.920092i
\(520\) −17.9385 9.10219i −0.786656 0.399157i
\(521\) 20.7786 + 11.9965i 0.910328 + 0.525578i 0.880537 0.473978i \(-0.157182\pi\)
0.0297912 + 0.999556i \(0.490516\pi\)
\(522\) −1.39493 1.39493i −0.0610546 0.0610546i
\(523\) 8.29910 + 4.79149i 0.362894 + 0.209517i 0.670350 0.742045i \(-0.266144\pi\)
−0.307455 + 0.951563i \(0.599477\pi\)
\(524\) −14.4116 + 24.9616i −0.629573 + 1.09045i
\(525\) 1.56513 0.243009i 0.0683080 0.0106058i
\(526\) 16.8021 4.50212i 0.732608 0.196302i
\(527\) 2.19255 2.19255i 0.0955088 0.0955088i
\(528\) −1.58631 + 0.425051i −0.0690353 + 0.0184980i
\(529\) −4.10344 7.10737i −0.178411 0.309016i
\(530\) 1.78748 3.09600i 0.0776431 0.134482i
\(531\) −1.43782 + 5.36602i −0.0623961 + 0.232865i
\(532\) 26.7935 11.8316i 1.16165 0.512966i
\(533\) −12.7578 39.0411i −0.552602 1.69106i
\(534\) −2.47626 4.28902i −0.107158 0.185604i
\(535\) 2.99303 2.99303i 0.129400 0.129400i
\(536\) 30.6684 1.32467
\(537\) −9.64897 −0.416384
\(538\) −5.07631 + 5.07631i −0.218855 + 0.218855i
\(539\) −9.23318 14.4092i −0.397701 0.620650i
\(540\) 0.750158 + 2.79963i 0.0322817 + 0.120477i
\(541\) 20.9526 + 5.61424i 0.900823 + 0.241375i 0.679370 0.733796i \(-0.262253\pi\)
0.221454 + 0.975171i \(0.428920\pi\)
\(542\) −13.2227 + 7.63415i −0.567965 + 0.327915i
\(543\) 1.25766i 0.0539715i
\(544\) −37.0114 + 9.91718i −1.58685 + 0.425195i
\(545\) 11.8157 0.506131
\(546\) −7.49116 0.402847i −0.320592 0.0172403i
\(547\) −24.6132 −1.05238 −0.526191 0.850366i \(-0.676380\pi\)
−0.526191 + 0.850366i \(0.676380\pi\)
\(548\) 15.0446 4.03118i 0.642672 0.172203i
\(549\) 9.39241i 0.400858i
\(550\) −0.996795 + 0.575500i −0.0425035 + 0.0245394i
\(551\) 19.4159 + 5.20248i 0.827146 + 0.221633i
\(552\) 2.64726 + 9.87970i 0.112675 + 0.420508i
\(553\) −2.05545 + 5.30627i −0.0874066 + 0.225646i
\(554\) 15.6161 15.6161i 0.663464 0.663464i
\(555\) 14.8358 0.629743
\(556\) −14.0912 −0.597600
\(557\) 0.362938 0.362938i 0.0153782 0.0153782i −0.699376 0.714754i \(-0.746539\pi\)
0.714754 + 0.699376i \(0.246539\pi\)
\(558\) −0.186047 0.322243i −0.00787601 0.0136416i
\(559\) −0.182263 3.36942i −0.00770889 0.142511i
\(560\) 3.70693 + 0.401032i 0.156646 + 0.0169467i
\(561\) 4.14674 15.4759i 0.175076 0.653391i
\(562\) −2.11189 + 3.65791i −0.0890848 + 0.154299i
\(563\) −21.6004 37.4130i −0.910349 1.57677i −0.813572 0.581464i \(-0.802480\pi\)
−0.0967769 0.995306i \(-0.530853\pi\)
\(564\) −9.72395 + 2.60552i −0.409452 + 0.109712i
\(565\) −18.4142 + 18.4142i −0.774692 + 0.774692i
\(566\) −1.05214 + 0.281920i −0.0442248 + 0.0118500i
\(567\) 1.65876 + 2.06120i 0.0696612 + 0.0865621i
\(568\) 12.9961 22.5099i 0.545305 0.944496i
\(569\) 26.6085 + 15.3624i 1.11549 + 0.644027i 0.940245 0.340499i \(-0.110596\pi\)
0.175242 + 0.984525i \(0.443929\pi\)
\(570\) 9.34833 + 9.34833i 0.391558 + 0.391558i
\(571\) −18.1885 10.5012i −0.761167 0.439460i 0.0685475 0.997648i \(-0.478164\pi\)
−0.829715 + 0.558188i \(0.811497\pi\)
\(572\) −11.5757 + 3.78271i −0.484006 + 0.158163i
\(573\) 2.44502i 0.102142i
\(574\) −14.8600 18.4653i −0.620246 0.770728i
\(575\) −1.15126 1.99405i −0.0480110 0.0831574i
\(576\) 3.25466i 0.135611i
\(577\) −2.29545 8.56673i −0.0955608 0.356638i 0.901543 0.432689i \(-0.142435\pi\)
−0.997104 + 0.0760516i \(0.975769\pi\)
\(578\) 5.28126 19.7099i 0.219671 0.819825i
\(579\) 12.1698 + 12.1698i 0.505758 + 0.505758i
\(580\) 5.14109 + 5.14109i 0.213472 + 0.213472i
\(581\) −5.67055 0.613465i −0.235254 0.0254508i
\(582\) −10.9980 + 6.34970i −0.455882 + 0.263203i
\(583\) −1.37108 5.11695i −0.0567844 0.211922i
\(584\) 13.4898 23.3650i 0.558212 0.966852i
\(585\) 2.34956 + 7.19007i 0.0971424 + 0.297273i
\(586\) −12.2183 + 7.05424i −0.504734 + 0.291408i
\(587\) −30.5954 8.19801i −1.26281 0.338368i −0.435536 0.900171i \(-0.643441\pi\)
−0.827271 + 0.561803i \(0.810108\pi\)
\(588\) 9.21550 2.93236i 0.380041 0.120929i
\(589\) 3.28344 + 1.89570i 0.135292 + 0.0781108i
\(590\) −2.37221 + 8.85320i −0.0976622 + 0.364480i
\(591\) 22.6109 + 6.05858i 0.930090 + 0.249217i
\(592\) −4.58839 1.22945i −0.188582 0.0505303i
\(593\) −1.47098 + 5.48978i −0.0604060 + 0.225438i −0.989529 0.144332i \(-0.953897\pi\)
0.929123 + 0.369770i \(0.120563\pi\)
\(594\) −1.66506 0.961326i −0.0683184 0.0394437i
\(595\) −21.4704 + 29.3631i −0.880202 + 1.20377i
\(596\) 6.27941 + 1.68256i 0.257215 + 0.0689205i
\(597\) 16.1440 9.32077i 0.660732 0.381474i
\(598\) 3.38750 + 10.3663i 0.138525 + 0.423911i
\(599\) 5.44521 9.43138i 0.222485 0.385356i −0.733077 0.680146i \(-0.761916\pi\)
0.955562 + 0.294790i \(0.0952498\pi\)
\(600\) −0.412042 1.53776i −0.0168215 0.0627788i
\(601\) 1.42936 0.825243i 0.0583049 0.0336624i −0.470564 0.882366i \(-0.655950\pi\)
0.528869 + 0.848703i \(0.322616\pi\)
\(602\) −0.786598 1.78131i −0.0320593 0.0726007i
\(603\) −8.15467 8.15467i −0.332084 0.332084i
\(604\) 0.570367 + 0.570367i 0.0232079 + 0.0232079i
\(605\) −2.72737 + 10.1787i −0.110883 + 0.413823i
\(606\) 0.720500 + 2.68894i 0.0292683 + 0.109231i
\(607\) 26.1975i 1.06332i −0.846957 0.531662i \(-0.821568\pi\)
0.846957 0.531662i \(-0.178432\pi\)
\(608\) −23.4259 40.5749i −0.950046 1.64553i
\(609\) 6.18877 + 2.39729i 0.250781 + 0.0971433i
\(610\) 15.4962i 0.627423i
\(611\) −24.9733 + 8.16074i −1.01031 + 0.330148i
\(612\) 7.84080 + 4.52689i 0.316946 + 0.182989i
\(613\) −16.6089 16.6089i −0.670827 0.670827i 0.287079 0.957907i \(-0.407316\pi\)
−0.957907 + 0.287079i \(0.907316\pi\)
\(614\) −5.27084 3.04312i −0.212714 0.122810i
\(615\) −11.9494 + 20.6969i −0.481845 + 0.834580i
\(616\) −13.4009 + 10.7844i −0.539938 + 0.434517i
\(617\) −7.41451 + 1.98671i −0.298497 + 0.0799820i −0.404959 0.914335i \(-0.632714\pi\)
0.106462 + 0.994317i \(0.466048\pi\)
\(618\) 5.09633 5.09633i 0.205005 0.205005i
\(619\) −27.5031 + 7.36942i −1.10544 + 0.296202i −0.764978 0.644056i \(-0.777250\pi\)
−0.340463 + 0.940258i \(0.610584\pi\)
\(620\) 0.685685 + 1.18764i 0.0275378 + 0.0476968i
\(621\) 1.92309 3.33089i 0.0771710 0.133664i
\(622\) 1.33261 4.97337i 0.0534328 0.199414i
\(623\) 13.4498 + 9.83454i 0.538853 + 0.394012i
\(624\) −0.130822 2.41845i −0.00523706 0.0968154i
\(625\) −10.8242 18.7480i −0.432967 0.749921i
\(626\) 9.53777 9.53777i 0.381206 0.381206i
\(627\) 19.5905 0.782370
\(628\) 15.3368 0.612005
\(629\) 32.7694 32.7694i 1.30660 1.30660i
\(630\) 2.73672 + 3.40069i 0.109034 + 0.135487i
\(631\) −2.62809 9.80818i −0.104623 0.390458i 0.893679 0.448706i \(-0.148115\pi\)
−0.998302 + 0.0582487i \(0.981448\pi\)
\(632\) 5.52475 + 1.48035i 0.219763 + 0.0588852i
\(633\) 9.72190 5.61294i 0.386411 0.223094i
\(634\) 12.6261i 0.501446i
\(635\) −21.1873 + 5.67712i −0.840793 + 0.225290i
\(636\) 2.99355 0.118702
\(637\) 23.6022 8.94080i 0.935152 0.354247i
\(638\) −4.82296 −0.190943
\(639\) −9.44098 + 2.52970i −0.373479 + 0.100074i
\(640\) 19.1631i 0.757490i
\(641\) −20.0662 + 11.5852i −0.792569 + 0.457590i −0.840866 0.541243i \(-0.817954\pi\)
0.0482973 + 0.998833i \(0.484621\pi\)
\(642\) −1.53261 0.410663i −0.0604875 0.0162076i
\(643\) −6.46488 24.1273i −0.254950 0.951486i −0.968118 0.250493i \(-0.919407\pi\)
0.713168 0.700993i \(-0.247259\pi\)
\(644\) −8.81406 10.9525i −0.347323 0.431589i
\(645\) −1.38834 + 1.38834i −0.0546658 + 0.0546658i
\(646\) 41.2973 1.62482
\(647\) 4.58441 0.180232 0.0901160 0.995931i \(-0.471276\pi\)
0.0901160 + 0.995931i \(0.471276\pi\)
\(648\) 1.88042 1.88042i 0.0738699 0.0738699i
\(649\) 6.79083 + 11.7621i 0.266564 + 0.461702i
\(650\) −0.527259 1.61350i −0.0206808 0.0632869i
\(651\) 1.01051 + 0.738891i 0.0396050 + 0.0289594i
\(652\) 5.89176 21.9883i 0.230739 0.861130i
\(653\) 12.7283 22.0460i 0.498096 0.862728i −0.501901 0.864925i \(-0.667366\pi\)
0.999998 + 0.00219688i \(0.000699289\pi\)
\(654\) −2.21459 3.83579i −0.0865974 0.149991i
\(655\) 42.2780 11.3284i 1.65194 0.442636i
\(656\) 5.41086 5.41086i 0.211259 0.211259i
\(657\) −9.79963 + 2.62580i −0.382320 + 0.102442i
\(658\) −11.8116 + 9.50546i −0.460465 + 0.370561i
\(659\) −6.21741 + 10.7689i −0.242196 + 0.419496i −0.961339 0.275366i \(-0.911201\pi\)
0.719144 + 0.694861i \(0.244534\pi\)
\(660\) 6.13666 + 3.54300i 0.238869 + 0.137911i
\(661\) 26.6523 + 26.6523i 1.03665 + 1.03665i 0.999302 + 0.0373506i \(0.0118918\pi\)
0.0373506 + 0.999302i \(0.488108\pi\)
\(662\) 3.88634 + 2.24378i 0.151047 + 0.0872069i
\(663\) 21.0712 + 10.6918i 0.818338 + 0.415233i
\(664\) 5.73288i 0.222479i
\(665\) −41.4748 16.0658i −1.60832 0.623004i
\(666\) −2.78062 4.81618i −0.107747 0.186623i
\(667\) 9.64813i 0.373577i
\(668\) −0.00338495 0.0126328i −0.000130968 0.000488778i
\(669\) 2.63121 9.81982i 0.101729 0.379656i
\(670\) −13.4541 13.4541i −0.519777 0.519777i
\(671\) 16.2371 + 16.2371i 0.626825 + 0.626825i
\(672\) −6.24893 14.1511i −0.241058 0.545892i
\(673\) 21.1591 12.2162i 0.815624 0.470901i −0.0332811 0.999446i \(-0.510596\pi\)
0.848905 + 0.528545i \(0.177262\pi\)
\(674\) −1.33318 4.97551i −0.0513524 0.191650i
\(675\) −0.299326 + 0.518448i −0.0115211 + 0.0199551i
\(676\) −1.93736 17.8552i −0.0745140 0.686740i
\(677\) −3.00229 + 1.73338i −0.115388 + 0.0666190i −0.556583 0.830792i \(-0.687888\pi\)
0.441195 + 0.897411i \(0.354555\pi\)
\(678\) 9.42920 + 2.52655i 0.362126 + 0.0970314i
\(679\) 25.2180 34.4882i 0.967776 1.32353i
\(680\) 31.6635 + 18.2810i 1.21424 + 0.701043i
\(681\) 1.70402 6.35951i 0.0652984 0.243697i
\(682\) −0.878703 0.235448i −0.0336473 0.00901576i
\(683\) −36.7999 9.86051i −1.40811 0.377302i −0.526860 0.849952i \(-0.676631\pi\)
−0.881250 + 0.472650i \(0.843297\pi\)
\(684\) −2.86524 + 10.6932i −0.109555 + 0.408865i
\(685\) −20.4831 11.8259i −0.782619 0.451845i
\(686\) 10.9123 9.64642i 0.416633 0.368302i
\(687\) 1.20056 + 0.321690i 0.0458043 + 0.0122732i
\(688\) 0.544437 0.314331i 0.0207565 0.0119838i
\(689\) 7.80117 0.421990i 0.297201 0.0160765i
\(690\) 3.17284 5.49552i 0.120788 0.209211i
\(691\) −5.81255 21.6927i −0.221120 0.825230i −0.983922 0.178598i \(-0.942844\pi\)
0.762802 0.646632i \(-0.223823\pi\)
\(692\) −25.0789 + 14.4793i −0.953359 + 0.550422i
\(693\) 6.43083 + 0.695715i 0.244287 + 0.0264280i
\(694\) −12.6815 12.6815i −0.481384 0.481384i
\(695\) 15.1308 + 15.1308i 0.573944 + 0.573944i
\(696\) 1.72655 6.44358i 0.0654448 0.244243i
\(697\) 19.3217 + 72.1094i 0.731860 + 2.73134i
\(698\) 1.60833i 0.0608761i
\(699\) −7.32822 12.6928i −0.277179 0.480088i
\(700\) 1.37189 + 1.70474i 0.0518528 + 0.0644330i
\(701\) 43.0296i 1.62520i 0.582819 + 0.812602i \(0.301950\pi\)
−0.582819 + 0.812602i \(0.698050\pi\)
\(702\) 1.89376 2.11036i 0.0714755 0.0796504i
\(703\) 49.0736 + 28.3327i 1.85085 + 1.06859i
\(704\) 5.62646 + 5.62646i 0.212055 + 0.212055i
\(705\) 13.2391 + 7.64360i 0.498614 + 0.287875i
\(706\) 10.1707 17.6161i 0.382778 0.662992i
\(707\) −5.87171 7.29628i −0.220829 0.274405i
\(708\) −7.41337 + 1.98641i −0.278611 + 0.0746537i
\(709\) −14.0137 + 14.0137i −0.526295 + 0.526295i −0.919466 0.393171i \(-0.871378\pi\)
0.393171 + 0.919466i \(0.371378\pi\)
\(710\) −15.5763 + 4.17367i −0.584570 + 0.156635i
\(711\) −1.07540 1.86264i −0.0403305 0.0698545i
\(712\) 8.37359 14.5035i 0.313814 0.543541i
\(713\) 0.471003 1.75781i 0.0176392 0.0658304i
\(714\) 13.5564 + 1.46659i 0.507335 + 0.0548856i
\(715\) 16.4916 + 8.36798i 0.616749 + 0.312945i
\(716\) −6.66522 11.5445i −0.249091 0.431438i
\(717\) 4.85743 4.85743i 0.181404 0.181404i
\(718\) −11.8358 −0.441709
\(719\) 46.5796 1.73713 0.868563 0.495579i \(-0.165044\pi\)
0.868563 + 0.495579i \(0.165044\pi\)
\(720\) −0.996500 + 0.996500i −0.0371374 + 0.0371374i
\(721\) −8.75841 + 22.6104i −0.326180 + 0.842055i
\(722\) 9.20205 + 34.3425i 0.342465 + 1.27810i
\(723\) 18.4629 + 4.94711i 0.686641 + 0.183985i
\(724\) 1.50473 0.868756i 0.0559229 0.0322871i
\(725\) 1.50172i 0.0557723i
\(726\) 3.81553 1.02237i 0.141607 0.0379436i
\(727\) −38.0896 −1.41266 −0.706332 0.707880i \(-0.749652\pi\)
−0.706332 + 0.707880i \(0.749652\pi\)
\(728\) −11.4861 22.6190i −0.425703 0.838316i
\(729\) −1.00000 −0.0370370
\(730\) −16.1681 + 4.33222i −0.598407 + 0.160343i
\(731\) 6.13315i 0.226843i
\(732\) −11.2375 + 6.48800i −0.415352 + 0.239803i
\(733\) 30.4740 + 8.16549i 1.12558 + 0.301599i 0.773141 0.634234i \(-0.218684\pi\)
0.352443 + 0.935833i \(0.385351\pi\)
\(734\) −3.11360 11.6201i −0.114925 0.428906i
\(735\) −13.0441 6.74668i −0.481139 0.248855i
\(736\) −15.9016 + 15.9016i −0.586140 + 0.586140i
\(737\) −28.1946 −1.03856
\(738\) 8.95855 0.329769
\(739\) −20.9621 + 20.9621i −0.771103 + 0.771103i −0.978299 0.207197i \(-0.933566\pi\)
0.207197 + 0.978299i \(0.433566\pi\)
\(740\) 10.2481 + 17.7502i 0.376728 + 0.652512i
\(741\) −5.95941 + 28.2704i −0.218924 + 1.03854i
\(742\) 4.12424 1.82120i 0.151405 0.0668583i
\(743\) 6.49849 24.2527i 0.238406 0.889745i −0.738177 0.674607i \(-0.764313\pi\)
0.976584 0.215138i \(-0.0690201\pi\)
\(744\) 0.629127 1.08968i 0.0230649 0.0399496i
\(745\) −4.93599 8.54939i −0.180841 0.313225i
\(746\) 15.5282 4.16077i 0.568528 0.152337i
\(747\) 1.52436 1.52436i 0.0557735 0.0557735i
\(748\) 21.3805 5.72890i 0.781750 0.209469i
\(749\) 5.27485 0.818995i 0.192739 0.0299254i
\(750\) −4.61851 + 7.99949i −0.168644 + 0.292100i
\(751\) −26.9618 15.5664i −0.983849 0.568025i −0.0804190 0.996761i \(-0.525626\pi\)
−0.903430 + 0.428736i \(0.858959\pi\)
\(752\) −3.46114 3.46114i −0.126215 0.126215i
\(753\) 2.37330 + 1.37023i 0.0864880 + 0.0499338i
\(754\) 1.46714 6.95984i 0.0534300 0.253462i
\(755\) 1.22489i 0.0445784i
\(756\) −1.32030 + 3.40843i −0.0480188 + 0.123963i
\(757\) 1.51455 + 2.62328i 0.0550472 + 0.0953446i 0.892236 0.451570i \(-0.149136\pi\)
−0.837189 + 0.546914i \(0.815802\pi\)
\(758\) 4.99034i 0.181257i
\(759\) −2.43372 9.08277i −0.0883385 0.329684i
\(760\) −11.5707 + 43.1825i −0.419714 + 1.56639i
\(761\) −20.7427 20.7427i −0.751923 0.751923i 0.222915 0.974838i \(-0.428443\pi\)
−0.974838 + 0.222915i \(0.928443\pi\)
\(762\) 5.81406 + 5.81406i 0.210621 + 0.210621i
\(763\) 12.0285 + 8.79530i 0.435460 + 0.318411i
\(764\) −2.92535 + 1.68895i −0.105835 + 0.0611040i
\(765\) −3.55840 13.2801i −0.128654 0.480144i
\(766\) 2.46154 4.26351i 0.0889389 0.154047i
\(767\) −19.0392 + 6.22160i −0.687465 + 0.224649i
\(768\) −11.8582 + 6.84635i −0.427897 + 0.247046i
\(769\) 30.9694 + 8.29823i 1.11679 + 0.299242i 0.769582 0.638548i \(-0.220465\pi\)
0.347203 + 0.937790i \(0.387131\pi\)
\(770\) 10.6100 + 1.14784i 0.382358 + 0.0413651i
\(771\) −9.49291 5.48074i −0.341879 0.197384i
\(772\) −6.15399 + 22.9670i −0.221487 + 0.826601i
\(773\) −43.0528 11.5360i −1.54850 0.414920i −0.619501 0.784996i \(-0.712665\pi\)
−0.929001 + 0.370076i \(0.879332\pi\)