Properties

Label 637.2.w.b.92.15
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.15
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.153433 - 0.192399i) q^{2} +(-1.67003 - 0.804242i) q^{3} +(0.431566 + 1.89082i) q^{4} +(0.217813 + 0.104893i) q^{5} +(-0.410972 + 0.197914i) q^{6} +(-2.59813 - 0.499745i) q^{7} +(0.873441 + 0.420627i) q^{8} +(0.271713 + 0.340717i) q^{9} +O(q^{10})\) \(q+(0.153433 - 0.192399i) q^{2} +(-1.67003 - 0.804242i) q^{3} +(0.431566 + 1.89082i) q^{4} +(0.217813 + 0.104893i) q^{5} +(-0.410972 + 0.197914i) q^{6} +(-2.59813 - 0.499745i) q^{7} +(0.873441 + 0.420627i) q^{8} +(0.271713 + 0.340717i) q^{9} +(0.0536009 - 0.0258129i) q^{10} +(-0.00113574 + 0.00142418i) q^{11} +(0.799947 - 3.50480i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.494788 + 0.423199i) q^{14} +(-0.279393 - 0.350348i) q^{15} +(-3.27981 + 1.57947i) q^{16} +(1.38330 - 6.06065i) q^{17} +0.107243 q^{18} +7.36841 q^{19} +(-0.104333 + 0.457112i) q^{20} +(3.93702 + 2.92411i) q^{21} +(9.97495e-5 + 0.000437031i) q^{22} +(-1.18833 - 5.20643i) q^{23} +(-1.12038 - 1.40492i) q^{24} +(-3.08101 - 3.86346i) q^{25} +(-0.0547596 - 0.239917i) q^{26} +(1.05764 + 4.63382i) q^{27} +(-0.176338 - 5.12825i) q^{28} +(-0.125700 + 0.550728i) q^{29} -0.110275 q^{30} +9.65003 q^{31} +(-0.630786 + 2.76366i) q^{32} +(0.00304210 - 0.00146500i) q^{33} +(-0.953818 - 1.19605i) q^{34} +(-0.513485 - 0.381376i) q^{35} +(-0.526971 + 0.660801i) q^{36} +(1.63503 - 7.16355i) q^{37} +(1.13056 - 1.41767i) q^{38} +(-1.67003 + 0.804242i) q^{39} +(0.146126 + 0.183236i) q^{40} +(-9.56342 - 4.60550i) q^{41} +(1.16666 - 0.308824i) q^{42} +(-3.15791 + 1.52077i) q^{43} +(-0.00318300 - 0.00153285i) q^{44} +(0.0234436 + 0.102713i) q^{45} +(-1.18404 - 0.570204i) q^{46} +(5.99487 - 7.51734i) q^{47} +6.74765 q^{48} +(6.50051 + 2.59680i) q^{49} -1.21605 q^{50} +(-7.18439 + 9.00893i) q^{51} +(1.74738 + 0.841492i) q^{52} +(-0.930574 - 4.07711i) q^{53} +(1.05382 + 0.507492i) q^{54} +(-0.000396765 + 0.000191072i) q^{55} +(-2.05910 - 1.52934i) q^{56} +(-12.3054 - 5.92598i) q^{57} +(0.0866729 + 0.108684i) q^{58} +(-2.09108 + 1.00701i) q^{59} +(0.541867 - 0.679480i) q^{60} +(0.251447 - 1.10166i) q^{61} +(1.48063 - 1.85665i) q^{62} +(-0.535673 - 1.02101i) q^{63} +(-4.10446 - 5.14682i) q^{64} +(0.217813 - 0.104893i) q^{65} +(0.000184895 - 0.000810077i) q^{66} -5.22001 q^{67} +12.0566 q^{68} +(-2.20268 + 9.65058i) q^{69} +(-0.152162 + 0.0402782i) q^{70} +(0.583921 + 2.55832i) q^{71} +(0.0940104 + 0.411887i) q^{72} +(-4.06927 - 5.10271i) q^{73} +(-1.12739 - 1.41370i) q^{74} +(2.03821 + 8.92996i) q^{75} +(3.17995 + 13.9323i) q^{76} +(0.00366253 - 0.00313261i) q^{77} +(-0.101502 + 0.444708i) q^{78} +0.670602 q^{79} -0.880059 q^{80} +(2.25135 - 9.86380i) q^{81} +(-2.35344 + 1.13336i) q^{82} +(7.51906 + 9.42860i) q^{83} +(-3.82986 + 8.70613i) q^{84} +(0.937021 - 1.17499i) q^{85} +(-0.191933 + 0.840915i) q^{86} +(0.652841 - 0.818637i) q^{87} +(-0.00159105 + 0.000766210i) q^{88} +(-9.78147 - 12.2656i) q^{89} +(0.0233590 + 0.0112491i) q^{90} +(-2.01062 + 1.71971i) q^{91} +(9.33155 - 4.49384i) q^{92} +(-16.1158 - 7.76096i) q^{93} +(-0.526515 - 2.30681i) q^{94} +(1.60493 + 0.772894i) q^{95} +(3.27608 - 4.10807i) q^{96} -12.5101 q^{97} +(1.49701 - 0.852256i) q^{98} -0.000793838 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} + O(q^{10}) \) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.153433 0.192399i 0.108493 0.136047i −0.724620 0.689149i \(-0.757985\pi\)
0.833113 + 0.553102i \(0.186556\pi\)
\(3\) −1.67003 0.804242i −0.964190 0.464330i −0.115551 0.993302i \(-0.536863\pi\)
−0.848639 + 0.528972i \(0.822578\pi\)
\(4\) 0.431566 + 1.89082i 0.215783 + 0.945408i
\(5\) 0.217813 + 0.104893i 0.0974088 + 0.0469096i 0.481954 0.876197i \(-0.339927\pi\)
−0.384545 + 0.923106i \(0.625642\pi\)
\(6\) −0.410972 + 0.197914i −0.167779 + 0.0807980i
\(7\) −2.59813 0.499745i −0.981999 0.188886i
\(8\) 0.873441 + 0.420627i 0.308808 + 0.148714i
\(9\) 0.271713 + 0.340717i 0.0905710 + 0.113572i
\(10\) 0.0536009 0.0258129i 0.0169501 0.00816274i
\(11\) −0.00113574 + 0.00142418i −0.000342439 + 0.000429405i −0.782003 0.623275i \(-0.785802\pi\)
0.781660 + 0.623704i \(0.214373\pi\)
\(12\) 0.799947 3.50480i 0.230925 1.01175i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −0.494788 + 0.423199i −0.132238 + 0.113105i
\(15\) −0.279393 0.350348i −0.0721391 0.0904595i
\(16\) −3.27981 + 1.57947i −0.819952 + 0.394868i
\(17\) 1.38330 6.06065i 0.335500 1.46992i −0.472809 0.881165i \(-0.656760\pi\)
0.808309 0.588758i \(-0.200383\pi\)
\(18\) 0.107243 0.0252775
\(19\) 7.36841 1.69043 0.845214 0.534428i \(-0.179473\pi\)
0.845214 + 0.534428i \(0.179473\pi\)
\(20\) −0.104333 + 0.457112i −0.0233295 + 0.102213i
\(21\) 3.93702 + 2.92411i 0.859129 + 0.638093i
\(22\) 9.97495e−5 0 0.000437031i 2.12667e−5 0 9.31754e-5i
\(23\) −1.18833 5.20643i −0.247785 1.08562i −0.933734 0.357967i \(-0.883470\pi\)
0.685950 0.727649i \(-0.259387\pi\)
\(24\) −1.12038 1.40492i −0.228697 0.286777i
\(25\) −3.08101 3.86346i −0.616202 0.772693i
\(26\) −0.0547596 0.239917i −0.0107392 0.0470517i
\(27\) 1.05764 + 4.63382i 0.203543 + 0.891779i
\(28\) −0.176338 5.12825i −0.0333248 0.969148i
\(29\) −0.125700 + 0.550728i −0.0233419 + 0.102268i −0.985257 0.171081i \(-0.945274\pi\)
0.961915 + 0.273348i \(0.0881312\pi\)
\(30\) −0.110275 −0.0201333
\(31\) 9.65003 1.73320 0.866598 0.499007i \(-0.166302\pi\)
0.866598 + 0.499007i \(0.166302\pi\)
\(32\) −0.630786 + 2.76366i −0.111508 + 0.488550i
\(33\) 0.00304210 0.00146500i 0.000529562 0.000255024i
\(34\) −0.953818 1.19605i −0.163578 0.205121i
\(35\) −0.513485 0.381376i −0.0867948 0.0644643i
\(36\) −0.526971 + 0.660801i −0.0878286 + 0.110134i
\(37\) 1.63503 7.16355i 0.268798 1.17768i −0.642615 0.766189i \(-0.722151\pi\)
0.911413 0.411492i \(-0.134992\pi\)
\(38\) 1.13056 1.41767i 0.183400 0.229977i
\(39\) −1.67003 + 0.804242i −0.267418 + 0.128782i
\(40\) 0.146126 + 0.183236i 0.0231045 + 0.0289721i
\(41\) −9.56342 4.60550i −1.49356 0.719258i −0.504039 0.863681i \(-0.668153\pi\)
−0.989516 + 0.144422i \(0.953868\pi\)
\(42\) 1.16666 0.308824i 0.180020 0.0476525i
\(43\) −3.15791 + 1.52077i −0.481577 + 0.231915i −0.658890 0.752239i \(-0.728974\pi\)
0.177313 + 0.984155i \(0.443260\pi\)
\(44\) −0.00318300 0.00153285i −0.000479856 0.000231086i
\(45\) 0.0234436 + 0.102713i 0.00349477 + 0.0153116i
\(46\) −1.18404 0.570204i −0.174577 0.0840720i
\(47\) 5.99487 7.51734i 0.874442 1.09652i −0.120160 0.992755i \(-0.538341\pi\)
0.994602 0.103761i \(-0.0330879\pi\)
\(48\) 6.74765 0.973939
\(49\) 6.50051 + 2.59680i 0.928644 + 0.370971i
\(50\) −1.21605 −0.171976
\(51\) −7.18439 + 9.00893i −1.00602 + 1.26150i
\(52\) 1.74738 + 0.841492i 0.242317 + 0.116694i
\(53\) −0.930574 4.07711i −0.127824 0.560034i −0.997762 0.0668722i \(-0.978698\pi\)
0.869937 0.493162i \(-0.164159\pi\)
\(54\) 1.05382 + 0.507492i 0.143406 + 0.0690609i
\(55\) −0.000396765 0 0.000191072i −5.34998e−5 0 2.57642e-5i
\(56\) −2.05910 1.52934i −0.275159 0.204367i
\(57\) −12.3054 5.92598i −1.62989 0.784916i
\(58\) 0.0866729 + 0.108684i 0.0113807 + 0.0142710i
\(59\) −2.09108 + 1.00701i −0.272236 + 0.131102i −0.565021 0.825076i \(-0.691132\pi\)
0.292785 + 0.956178i \(0.405418\pi\)
\(60\) 0.541867 0.679480i 0.0699547 0.0877205i
\(61\) 0.251447 1.10166i 0.0321945 0.141054i −0.956276 0.292465i \(-0.905525\pi\)
0.988471 + 0.151411i \(0.0483817\pi\)
\(62\) 1.48063 1.85665i 0.188041 0.235795i
\(63\) −0.535673 1.02101i −0.0674884 0.128636i
\(64\) −4.10446 5.14682i −0.513057 0.643353i
\(65\) 0.217813 0.104893i 0.0270163 0.0130104i
\(66\) 0.000184895 0 0.000810077i 2.27590e−5 0 9.97135e-5i
\(67\) −5.22001 −0.637726 −0.318863 0.947801i \(-0.603301\pi\)
−0.318863 + 0.947801i \(0.603301\pi\)
\(68\) 12.0566 1.46207
\(69\) −2.20268 + 9.65058i −0.265172 + 1.16179i
\(70\) −0.152162 + 0.0402782i −0.0181868 + 0.00481417i
\(71\) 0.583921 + 2.55832i 0.0692987 + 0.303617i 0.997685 0.0679981i \(-0.0216612\pi\)
−0.928387 + 0.371615i \(0.878804\pi\)
\(72\) 0.0940104 + 0.411887i 0.0110792 + 0.0485413i
\(73\) −4.06927 5.10271i −0.476272 0.597227i 0.484422 0.874834i \(-0.339030\pi\)
−0.960695 + 0.277608i \(0.910458\pi\)
\(74\) −1.12739 1.41370i −0.131057 0.164340i
\(75\) 2.03821 + 8.92996i 0.235352 + 1.03114i
\(76\) 3.17995 + 13.9323i 0.364766 + 1.59814i
\(77\) 0.00366253 0.00313261i 0.000417384 0.000356994i
\(78\) −0.101502 + 0.444708i −0.0114928 + 0.0503533i
\(79\) 0.670602 0.0754487 0.0377243 0.999288i \(-0.487989\pi\)
0.0377243 + 0.999288i \(0.487989\pi\)
\(80\) −0.880059 −0.0983936
\(81\) 2.25135 9.86380i 0.250150 1.09598i
\(82\) −2.35344 + 1.13336i −0.259894 + 0.125158i
\(83\) 7.51906 + 9.42860i 0.825324 + 1.03492i 0.998745 + 0.0500755i \(0.0159462\pi\)
−0.173422 + 0.984848i \(0.555482\pi\)
\(84\) −3.82986 + 8.70613i −0.417872 + 0.949916i
\(85\) 0.937021 1.17499i 0.101634 0.127445i
\(86\) −0.191933 + 0.840915i −0.0206967 + 0.0906782i
\(87\) 0.652841 0.818637i 0.0699919 0.0877671i
\(88\) −0.00159105 0.000766210i −0.000169607 8.16783e-5i
\(89\) −9.78147 12.2656i −1.03683 1.30015i −0.952772 0.303688i \(-0.901782\pi\)
−0.0840621 0.996461i \(-0.526789\pi\)
\(90\) 0.0233590 + 0.0112491i 0.00246225 + 0.00118576i
\(91\) −2.01062 + 1.71971i −0.210770 + 0.180275i
\(92\) 9.33155 4.49384i 0.972881 0.468515i
\(93\) −16.1158 7.76096i −1.67113 0.804774i
\(94\) −0.526515 2.30681i −0.0543059 0.237930i
\(95\) 1.60493 + 0.772894i 0.164663 + 0.0792973i
\(96\) 3.27608 4.10807i 0.334363 0.419278i
\(97\) −12.5101 −1.27021 −0.635106 0.772425i \(-0.719044\pi\)
−0.635106 + 0.772425i \(0.719044\pi\)
\(98\) 1.49701 0.852256i 0.151221 0.0860909i
\(99\) −0.000793838 0 −7.97837e−5 0
\(100\) 5.97544 7.49296i 0.597544 0.749296i
\(101\) 8.79037 + 4.23322i 0.874675 + 0.421221i 0.816677 0.577096i \(-0.195814\pi\)
0.0579981 + 0.998317i \(0.481528\pi\)
\(102\) 0.630987 + 2.76454i 0.0624770 + 0.273730i
\(103\) 1.49912 + 0.721936i 0.147712 + 0.0711345i 0.506280 0.862369i \(-0.331020\pi\)
−0.358567 + 0.933504i \(0.616735\pi\)
\(104\) 0.873441 0.420627i 0.0856480 0.0412459i
\(105\) 0.550814 + 1.04987i 0.0537540 + 0.102457i
\(106\) −0.927213 0.446522i −0.0900589 0.0433701i
\(107\) −1.96575 2.46497i −0.190036 0.238297i 0.677681 0.735356i \(-0.262985\pi\)
−0.867717 + 0.497058i \(0.834414\pi\)
\(108\) −8.30525 + 3.99960i −0.799173 + 0.384862i
\(109\) −5.39802 + 6.76891i −0.517037 + 0.648344i −0.969977 0.243197i \(-0.921804\pi\)
0.452940 + 0.891541i \(0.350375\pi\)
\(110\) −2.41148e−5 0 0.000105654i −2.29926e−6 0 1.00737e-5i
\(111\) −8.49178 + 10.6484i −0.806004 + 1.01070i
\(112\) 9.31069 2.46460i 0.879777 0.232883i
\(113\) 11.6161 + 14.5662i 1.09275 + 1.37027i 0.923008 + 0.384781i \(0.125723\pi\)
0.169745 + 0.985488i \(0.445705\pi\)
\(114\) −3.02821 + 1.45831i −0.283618 + 0.136583i
\(115\) 0.287284 1.25867i 0.0267894 0.117372i
\(116\) −1.09557 −0.101721
\(117\) 0.435794 0.0402892
\(118\) −0.127093 + 0.556831i −0.0116999 + 0.0512605i
\(119\) −6.62278 + 15.0550i −0.607109 + 1.38009i
\(120\) −0.0966678 0.423529i −0.00882452 0.0386627i
\(121\) 2.44773 + 10.7242i 0.222521 + 0.974928i
\(122\) −0.173378 0.217410i −0.0156969 0.0196833i
\(123\) 12.2672 + 15.3826i 1.10610 + 1.38700i
\(124\) 4.16463 + 18.2464i 0.373994 + 1.63858i
\(125\) −0.534809 2.34315i −0.0478347 0.209578i
\(126\) −0.278632 0.0535943i −0.0248225 0.00477456i
\(127\) −4.18219 + 18.3234i −0.371109 + 1.62594i 0.352560 + 0.935789i \(0.385311\pi\)
−0.723670 + 0.690147i \(0.757546\pi\)
\(128\) −7.28946 −0.644303
\(129\) 6.49687 0.572017
\(130\) 0.0132383 0.0580009i 0.00116108 0.00508702i
\(131\) 11.5439 5.55925i 1.00860 0.485714i 0.144749 0.989468i \(-0.453763\pi\)
0.863847 + 0.503754i \(0.168048\pi\)
\(132\) 0.00408291 + 0.00511981i 0.000355372 + 0.000445622i
\(133\) −19.1440 3.68232i −1.66000 0.319298i
\(134\) −0.800922 + 1.00432i −0.0691891 + 0.0867604i
\(135\) −0.255688 + 1.12024i −0.0220061 + 0.0964152i
\(136\) 3.75751 4.71177i 0.322204 0.404031i
\(137\) 13.1265 6.32140i 1.12147 0.540074i 0.221127 0.975245i \(-0.429026\pi\)
0.900348 + 0.435171i \(0.143312\pi\)
\(138\) 1.51880 + 1.90451i 0.129289 + 0.162123i
\(139\) 12.5649 + 6.05094i 1.06574 + 0.513234i 0.882732 0.469877i \(-0.155702\pi\)
0.183010 + 0.983111i \(0.441416\pi\)
\(140\) 0.499509 1.13549i 0.0422162 0.0959667i
\(141\) −16.0574 + 7.73282i −1.35227 + 0.651221i
\(142\) 0.581812 + 0.280186i 0.0488245 + 0.0235127i
\(143\) 0.000405342 0.00177592i 3.38964e−5 0.000148510i
\(144\) −1.42932 0.688325i −0.119110 0.0573604i
\(145\) −0.0851466 + 0.106770i −0.00707104 + 0.00886680i
\(146\) −1.60612 −0.132923
\(147\) −8.76757 9.56471i −0.723137 0.788884i
\(148\) 14.2506 1.17139
\(149\) 1.29488 1.62373i 0.106081 0.133021i −0.725957 0.687740i \(-0.758603\pi\)
0.832038 + 0.554719i \(0.187174\pi\)
\(150\) 2.03084 + 0.978002i 0.165818 + 0.0798536i
\(151\) 0.788617 + 3.45516i 0.0641768 + 0.281177i 0.996826 0.0796068i \(-0.0253665\pi\)
−0.932650 + 0.360784i \(0.882509\pi\)
\(152\) 6.43587 + 3.09935i 0.522018 + 0.251391i
\(153\) 2.44083 1.17544i 0.197329 0.0950289i
\(154\) −4.07577e−5 0.00118531i −3.28435e−6 9.55151e-5i
\(155\) 2.10190 + 1.01222i 0.168828 + 0.0813035i
\(156\) −2.24140 2.81063i −0.179456 0.225030i
\(157\) −6.23964 + 3.00485i −0.497978 + 0.239813i −0.665975 0.745974i \(-0.731984\pi\)
0.167997 + 0.985787i \(0.446270\pi\)
\(158\) 0.102893 0.129023i 0.00818569 0.0102645i
\(159\) −1.72490 + 7.55729i −0.136794 + 0.599332i
\(160\) −0.427282 + 0.535794i −0.0337796 + 0.0423582i
\(161\) 0.485554 + 14.1208i 0.0382670 + 1.11288i
\(162\) −1.55235 1.94659i −0.121964 0.152938i
\(163\) −8.98089 + 4.32497i −0.703437 + 0.338758i −0.751176 0.660102i \(-0.770513\pi\)
0.0477384 + 0.998860i \(0.484799\pi\)
\(164\) 4.58090 20.0702i 0.357708 1.56722i
\(165\) 0.000816277 0 6.35471e−5 0
\(166\) 2.96772 0.230340
\(167\) 3.12296 13.6826i 0.241662 1.05879i −0.697842 0.716251i \(-0.745856\pi\)
0.939504 0.342538i \(-0.111286\pi\)
\(168\) 2.20880 + 4.21006i 0.170412 + 0.324813i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.0822963 0.360564i −0.00631184 0.0276540i
\(171\) 2.00209 + 2.51054i 0.153104 + 0.191986i
\(172\) −4.23835 5.31472i −0.323171 0.405243i
\(173\) −4.14494 18.1602i −0.315134 1.38069i −0.845976 0.533222i \(-0.820981\pi\)
0.530841 0.847471i \(-0.321876\pi\)
\(174\) −0.0573375 0.251212i −0.00434674 0.0190443i
\(175\) 6.07410 + 11.5775i 0.459159 + 0.875175i
\(176\) 0.00147557 0.00646490i 0.000111225 0.000487310i
\(177\) 4.30205 0.323362
\(178\) −3.86068 −0.289370
\(179\) 3.26102 14.2875i 0.243740 1.06790i −0.693841 0.720129i \(-0.744083\pi\)
0.937581 0.347767i \(-0.113060\pi\)
\(180\) −0.184094 + 0.0886552i −0.0137216 + 0.00660797i
\(181\) 7.34270 + 9.20746i 0.545779 + 0.684385i 0.975858 0.218406i \(-0.0700858\pi\)
−0.430079 + 0.902791i \(0.641514\pi\)
\(182\) 0.0223748 + 0.650701i 0.00165853 + 0.0482332i
\(183\) −1.30593 + 1.63758i −0.0965370 + 0.121054i
\(184\) 1.15203 5.04736i 0.0849285 0.372096i
\(185\) 1.10754 1.38881i 0.0814278 0.102107i
\(186\) −3.96590 + 1.90987i −0.290794 + 0.140039i
\(187\) 0.00706036 + 0.00885341i 0.000516305 + 0.000647425i
\(188\) 16.8011 + 8.09097i 1.22534 + 0.590095i
\(189\) −0.432152 12.5678i −0.0314344 0.914172i
\(190\) 0.394953 0.190200i 0.0286529 0.0137985i
\(191\) −4.38948 2.11386i −0.317612 0.152954i 0.268285 0.963340i \(-0.413543\pi\)
−0.585896 + 0.810386i \(0.699257\pi\)
\(192\) 2.71526 + 11.8963i 0.195957 + 0.858542i
\(193\) 16.1542 + 7.77948i 1.16281 + 0.559979i 0.912857 0.408279i \(-0.133871\pi\)
0.249951 + 0.968258i \(0.419585\pi\)
\(194\) −1.91947 + 2.40694i −0.137810 + 0.172808i
\(195\) −0.448112 −0.0320900
\(196\) −2.10467 + 13.4120i −0.150333 + 0.957997i
\(197\) −21.2007 −1.51049 −0.755243 0.655445i \(-0.772481\pi\)
−0.755243 + 0.655445i \(0.772481\pi\)
\(198\) −0.000121801 0 0.000152734i −8.65601e−6 0 1.08543e-5i
\(199\) −20.6426 9.94094i −1.46331 0.704695i −0.478465 0.878107i \(-0.658807\pi\)
−0.984849 + 0.173412i \(0.944521\pi\)
\(200\) −1.06600 4.67046i −0.0753778 0.330252i
\(201\) 8.71755 + 4.19815i 0.614889 + 0.296115i
\(202\) 2.16320 1.04174i 0.152202 0.0732967i
\(203\) 0.601808 1.36804i 0.0422386 0.0960177i
\(204\) −20.1348 9.69639i −1.40972 0.678883i
\(205\) −1.59995 2.00627i −0.111745 0.140124i
\(206\) 0.368914 0.177659i 0.0257034 0.0123781i
\(207\) 1.45104 1.81954i 0.100854 0.126467i
\(208\) −0.810046 + 3.54904i −0.0561666 + 0.246082i
\(209\) −0.00836861 + 0.0104939i −0.000578869 + 0.000725879i
\(210\) 0.286508 + 0.0551092i 0.0197709 + 0.00380290i
\(211\) −7.12832 8.93863i −0.490734 0.615360i 0.473378 0.880860i \(-0.343035\pi\)
−0.964111 + 0.265499i \(0.914463\pi\)
\(212\) 7.30746 3.51909i 0.501879 0.241692i
\(213\) 1.08235 4.74208i 0.0741614 0.324922i
\(214\) −0.775867 −0.0530372
\(215\) −0.847352 −0.0577889
\(216\) −1.02532 + 4.49224i −0.0697645 + 0.305658i
\(217\) −25.0720 4.82255i −1.70200 0.327376i
\(218\) 0.474095 + 2.07715i 0.0321098 + 0.140682i
\(219\) 2.69198 + 11.7943i 0.181907 + 0.796988i
\(220\) −0.000532513 0 0.000667750i −3.59020e−5 0 4.50197e-5i
\(221\) −3.87593 4.86026i −0.260723 0.326937i
\(222\) 0.745813 + 3.26762i 0.0500557 + 0.219308i
\(223\) −4.77141 20.9049i −0.319518 1.39990i −0.838401 0.545053i \(-0.816509\pi\)
0.518884 0.854845i \(-0.326348\pi\)
\(224\) 3.01998 6.86509i 0.201781 0.458693i
\(225\) 0.479199 2.09951i 0.0319466 0.139967i
\(226\) 4.58481 0.304977
\(227\) −5.21607 −0.346203 −0.173101 0.984904i \(-0.555379\pi\)
−0.173101 + 0.984904i \(0.555379\pi\)
\(228\) 5.89433 25.8248i 0.390362 1.71029i
\(229\) −22.0835 + 10.6348i −1.45932 + 0.702770i −0.984185 0.177144i \(-0.943314\pi\)
−0.475132 + 0.879914i \(0.657600\pi\)
\(230\) −0.198089 0.248395i −0.0130616 0.0163787i
\(231\) −0.00863589 + 0.00228598i −0.000568200 + 0.000150406i
\(232\) −0.341443 + 0.428156i −0.0224168 + 0.0281098i
\(233\) 5.34548 23.4201i 0.350194 1.53430i −0.426538 0.904470i \(-0.640267\pi\)
0.776732 0.629831i \(-0.216876\pi\)
\(234\) 0.0668652 0.0838462i 0.00437111 0.00548120i
\(235\) 2.09428 1.00855i 0.136615 0.0657905i
\(236\) −2.80652 3.51926i −0.182689 0.229084i
\(237\) −1.11992 0.539327i −0.0727469 0.0350330i
\(238\) 1.88042 + 3.58415i 0.121889 + 0.232326i
\(239\) −11.0816 + 5.33660i −0.716806 + 0.345196i −0.756480 0.654017i \(-0.773083\pi\)
0.0396735 + 0.999213i \(0.487368\pi\)
\(240\) 1.46972 + 0.707781i 0.0948702 + 0.0456871i
\(241\) −4.86967 21.3354i −0.313683 1.37433i −0.848423 0.529318i \(-0.822448\pi\)
0.534740 0.845016i \(-0.320409\pi\)
\(242\) 2.43889 + 1.17451i 0.156778 + 0.0755001i
\(243\) −2.80238 + 3.51408i −0.179773 + 0.225428i
\(244\) 2.19156 0.140300
\(245\) 1.14351 + 1.24747i 0.0730560 + 0.0796982i
\(246\) 4.84180 0.308702
\(247\) 4.59413 5.76085i 0.292317 0.366554i
\(248\) 8.42873 + 4.05906i 0.535225 + 0.257751i
\(249\) −4.97414 21.7932i −0.315224 1.38108i
\(250\) −0.532877 0.256620i −0.0337021 0.0162301i
\(251\) 18.9949 9.14748i 1.19895 0.577384i 0.275574 0.961280i \(-0.411132\pi\)
0.923376 + 0.383896i \(0.125418\pi\)
\(252\) 1.69937 1.45349i 0.107050 0.0915615i
\(253\) 0.00876452 + 0.00422077i 0.000551020 + 0.000265357i
\(254\) 2.88371 + 3.61606i 0.180940 + 0.226892i
\(255\) −2.50982 + 1.20867i −0.157171 + 0.0756897i
\(256\) 7.09047 8.89117i 0.443154 0.555698i
\(257\) −6.35112 + 27.8261i −0.396172 + 1.73574i 0.246079 + 0.969250i \(0.420858\pi\)
−0.642251 + 0.766494i \(0.722000\pi\)
\(258\) 0.996834 1.24999i 0.0620602 0.0778210i
\(259\) −7.82797 + 17.7947i −0.486407 + 1.10571i
\(260\) 0.292334 + 0.366575i 0.0181298 + 0.0227340i
\(261\) −0.221797 + 0.106812i −0.0137289 + 0.00661148i
\(262\) 0.701622 3.07401i 0.0433464 0.189913i
\(263\) 7.44202 0.458894 0.229447 0.973321i \(-0.426308\pi\)
0.229447 + 0.973321i \(0.426308\pi\)
\(264\) 0.00327332 0.000201459
\(265\) 0.224970 0.985657i 0.0138198 0.0605484i
\(266\) −3.64580 + 3.11830i −0.223538 + 0.191195i
\(267\) 6.47082 + 28.3505i 0.396008 + 1.73502i
\(268\) −2.25278 9.87007i −0.137610 0.602911i
\(269\) 7.45388 + 9.34687i 0.454471 + 0.569888i 0.955293 0.295662i \(-0.0955402\pi\)
−0.500822 + 0.865550i \(0.666969\pi\)
\(270\) 0.176302 + 0.221076i 0.0107294 + 0.0134543i
\(271\) −0.906308 3.97079i −0.0550543 0.241209i 0.939912 0.341416i \(-0.110906\pi\)
−0.994967 + 0.100207i \(0.968049\pi\)
\(272\) 5.03566 + 22.0627i 0.305332 + 1.33775i
\(273\) 4.74085 1.25494i 0.286930 0.0759521i
\(274\) 0.797811 3.49544i 0.0481975 0.211167i
\(275\) 0.00900149 0.000542810
\(276\) −19.1981 −1.15559
\(277\) 2.61748 11.4679i 0.157269 0.689042i −0.833390 0.552685i \(-0.813603\pi\)
0.990660 0.136357i \(-0.0435395\pi\)
\(278\) 3.09206 1.48906i 0.185450 0.0893079i
\(279\) 2.62204 + 3.28793i 0.156977 + 0.196843i
\(280\) −0.288082 0.549095i −0.0172162 0.0328147i
\(281\) −5.61102 + 7.03600i −0.334726 + 0.419733i −0.920501 0.390741i \(-0.872219\pi\)
0.585775 + 0.810474i \(0.300790\pi\)
\(282\) −0.975943 + 4.27589i −0.0581166 + 0.254625i
\(283\) 8.33018 10.4457i 0.495178 0.620933i −0.469956 0.882690i \(-0.655730\pi\)
0.965134 + 0.261756i \(0.0843017\pi\)
\(284\) −4.58532 + 2.20817i −0.272089 + 0.131031i
\(285\) −2.05868 2.58151i −0.121946 0.152915i
\(286\) 0.000403878 0 0.000194497i 2.38818e−5 0 1.15009e-5i
\(287\) 22.5454 + 16.7449i 1.33081 + 0.988422i
\(288\) −1.11302 + 0.536001i −0.0655852 + 0.0315842i
\(289\) −19.5015 9.39142i −1.14715 0.552436i
\(290\) 0.00747822 + 0.0327642i 0.000439136 + 0.00192398i
\(291\) 20.8923 + 10.0612i 1.22473 + 0.589797i
\(292\) 7.89212 9.89640i 0.461851 0.579143i
\(293\) 31.6295 1.84782 0.923909 0.382613i \(-0.124976\pi\)
0.923909 + 0.382613i \(0.124976\pi\)
\(294\) −3.18547 + 0.219329i −0.185781 + 0.0127915i
\(295\) −0.561093 −0.0326681
\(296\) 4.44129 5.56920i 0.258145 0.323703i
\(297\) −0.00780058 0.00375656i −0.000452636 0.000217978i
\(298\) −0.113726 0.498267i −0.00658798 0.0288638i
\(299\) −4.81146 2.31708i −0.278254 0.134000i
\(300\) −16.0053 + 7.70774i −0.924066 + 0.445007i
\(301\) 8.96465 2.37300i 0.516714 0.136778i
\(302\) 0.785768 + 0.378406i 0.0452159 + 0.0217748i
\(303\) −11.2756 14.1392i −0.647767 0.812275i
\(304\) −24.1670 + 11.6382i −1.38607 + 0.667496i
\(305\) 0.170325 0.213581i 0.00975279 0.0122296i
\(306\) 0.148350 0.649965i 0.00848062 0.0371560i
\(307\) −9.01771 + 11.3079i −0.514668 + 0.645373i −0.969467 0.245221i \(-0.921140\pi\)
0.454799 + 0.890594i \(0.349711\pi\)
\(308\) 0.00750381 + 0.00557323i 0.000427569 + 0.000317564i
\(309\) −1.92295 2.41131i −0.109393 0.137174i
\(310\) 0.517251 0.249095i 0.0293779 0.0141476i
\(311\) −5.19501 + 22.7608i −0.294582 + 1.29065i 0.583490 + 0.812120i \(0.301687\pi\)
−0.878072 + 0.478528i \(0.841171\pi\)
\(312\) −1.79696 −0.101733
\(313\) 26.1614 1.47873 0.739364 0.673306i \(-0.235126\pi\)
0.739364 + 0.673306i \(0.235126\pi\)
\(314\) −0.379236 + 1.66154i −0.0214016 + 0.0937663i
\(315\) −0.00957909 0.278578i −0.000539720 0.0156961i
\(316\) 0.289409 + 1.26799i 0.0162805 + 0.0713297i
\(317\) −4.43272 19.4210i −0.248966 1.09079i −0.932584 0.360953i \(-0.882451\pi\)
0.683618 0.729840i \(-0.260406\pi\)
\(318\) 1.18936 + 1.49141i 0.0666959 + 0.0836340i
\(319\) −0.000641571 0 0.000804504i −3.59211e−5 0 4.50436e-5i
\(320\) −0.354136 1.55157i −0.0197968 0.0867355i
\(321\) 1.30042 + 5.69750i 0.0725822 + 0.318003i
\(322\) 2.79133 + 2.07318i 0.155555 + 0.115534i
\(323\) 10.1927 44.6573i 0.567139 2.48480i
\(324\) 19.6222 1.09012
\(325\) −4.94156 −0.274108
\(326\) −0.545845 + 2.39150i −0.0302316 + 0.132453i
\(327\) 14.4587 6.96294i 0.799567 0.385051i
\(328\) −6.41589 8.04527i −0.354258 0.444226i
\(329\) −19.3322 + 16.5351i −1.06582 + 0.911608i
\(330\) 0.000125244 0 0.000157051i 6.89444e−6 0 8.64536e-6i
\(331\) −7.24259 + 31.7319i −0.398089 + 1.74414i 0.236820 + 0.971554i \(0.423895\pi\)
−0.634909 + 0.772587i \(0.718962\pi\)
\(332\) −14.5828 + 18.2862i −0.800333 + 1.00359i
\(333\) 2.88501 1.38935i 0.158097 0.0761357i
\(334\) −2.15335 2.70021i −0.117826 0.147749i
\(335\) −1.13698 0.547543i −0.0621201 0.0299154i
\(336\) −17.5312 3.37210i −0.956407 0.183963i
\(337\) −9.77228 + 4.70608i −0.532330 + 0.256357i −0.680683 0.732578i \(-0.738317\pi\)
0.148353 + 0.988934i \(0.452603\pi\)
\(338\) −0.221717 0.106773i −0.0120598 0.00580770i
\(339\) −7.68451 33.6681i −0.417365 1.82860i
\(340\) 2.62607 + 1.26465i 0.142419 + 0.0685852i
\(341\) −0.0109600 + 0.0137433i −0.000593515 + 0.000744244i
\(342\) 0.790213 0.0427298
\(343\) −15.5914 9.99540i −0.841857 0.539701i
\(344\) −3.39793 −0.183204
\(345\) −1.49205 + 1.87097i −0.0803293 + 0.100730i
\(346\) −4.12997 1.98889i −0.222029 0.106923i
\(347\) −2.00309 8.77610i −0.107531 0.471126i −0.999807 0.0196350i \(-0.993750\pi\)
0.892276 0.451491i \(-0.149108\pi\)
\(348\) 1.82964 + 0.881106i 0.0980787 + 0.0472322i
\(349\) 1.10417 0.531741i 0.0591049 0.0284634i −0.404098 0.914716i \(-0.632414\pi\)
0.463203 + 0.886252i \(0.346700\pi\)
\(350\) 3.15946 + 0.607717i 0.168880 + 0.0324838i
\(351\) 4.28229 + 2.06224i 0.228572 + 0.110074i
\(352\) −0.00321952 0.00403715i −0.000171601 0.000215181i
\(353\) 8.67171 4.17607i 0.461548 0.222270i −0.188635 0.982047i \(-0.560406\pi\)
0.650183 + 0.759777i \(0.274692\pi\)
\(354\) 0.660076 0.827709i 0.0350826 0.0439922i
\(355\) −0.141165 + 0.618485i −0.00749226 + 0.0328258i
\(356\) 18.9706 23.7884i 1.00544 1.26078i
\(357\) 23.1681 19.8160i 1.22619 1.04877i
\(358\) −2.24855 2.81959i −0.118839 0.149020i
\(359\) −18.0813 + 8.70748i −0.954292 + 0.459563i −0.845189 0.534467i \(-0.820512\pi\)
−0.109103 + 0.994030i \(0.534798\pi\)
\(360\) −0.0227274 + 0.0995751i −0.00119784 + 0.00524807i
\(361\) 35.2934 1.85755
\(362\) 2.89812 0.152322
\(363\) 4.53709 19.8783i 0.238135 1.04334i
\(364\) −4.11937 3.05954i −0.215914 0.160364i
\(365\) −0.351101 1.53827i −0.0183774 0.0805169i
\(366\) 0.114697 + 0.502518i 0.00599528 + 0.0262670i
\(367\) 20.5709 + 25.7951i 1.07379 + 1.34649i 0.934389 + 0.356256i \(0.115947\pi\)
0.139402 + 0.990236i \(0.455482\pi\)
\(368\) 12.1209 + 15.1992i 0.631847 + 0.792311i
\(369\) −1.02933 4.50980i −0.0535849 0.234771i
\(370\) −0.0972724 0.426178i −0.00505695 0.0221559i
\(371\) 0.380233 + 11.0579i 0.0197407 + 0.574097i
\(372\) 7.71951 33.8214i 0.400238 1.75356i
\(373\) 11.3830 0.589392 0.294696 0.955591i \(-0.404782\pi\)
0.294696 + 0.955591i \(0.404782\pi\)
\(374\) 0.00278668 0.000144096
\(375\) −0.991316 + 4.34324i −0.0511913 + 0.224284i
\(376\) 8.39817 4.04434i 0.433102 0.208571i
\(377\) 0.352204 + 0.441650i 0.0181394 + 0.0227461i
\(378\) −2.48433 1.84517i −0.127780 0.0949052i
\(379\) 5.47128 6.86076i 0.281041 0.352414i −0.621196 0.783655i \(-0.713353\pi\)
0.902237 + 0.431242i \(0.141924\pi\)
\(380\) −0.768766 + 3.36818i −0.0394369 + 0.172784i
\(381\) 21.7208 27.2370i 1.11279 1.39539i
\(382\) −1.08020 + 0.520195i −0.0552676 + 0.0266155i
\(383\) −2.13957 2.68293i −0.109327 0.137091i 0.724158 0.689635i \(-0.242229\pi\)
−0.833484 + 0.552543i \(0.813657\pi\)
\(384\) 12.1736 + 5.86249i 0.621231 + 0.299169i
\(385\) 0.00112633 0.000298148i 5.74033e−5 1.51950e-5i
\(386\) 3.97536 1.91443i 0.202340 0.0974420i
\(387\) −1.37620 0.662743i −0.0699561 0.0336891i
\(388\) −5.39896 23.6544i −0.274090 1.20087i
\(389\) 15.8958 + 7.65503i 0.805951 + 0.388125i 0.791041 0.611764i \(-0.209540\pi\)
0.0149098 + 0.999889i \(0.495254\pi\)
\(390\) −0.0687552 + 0.0862163i −0.00348155 + 0.00436573i
\(391\) −33.1982 −1.67890
\(392\) 4.58553 + 5.00244i 0.231604 + 0.252662i
\(393\) −23.7496 −1.19801
\(394\) −3.25288 + 4.07899i −0.163878 + 0.205496i
\(395\) 0.146066 + 0.0703415i 0.00734936 + 0.00353927i
\(396\) −0.000342594 0.00150100i −1.72160e−5 7.54281e-5i
\(397\) −6.97648 3.35970i −0.350140 0.168618i 0.250544 0.968105i \(-0.419391\pi\)
−0.600684 + 0.799487i \(0.705105\pi\)
\(398\) −5.07988 + 2.44634i −0.254631 + 0.122624i
\(399\) 29.0096 + 21.5460i 1.45230 + 1.07865i
\(400\) 16.2074 + 7.80505i 0.810368 + 0.390253i
\(401\) 3.13916 + 3.93638i 0.156762 + 0.196573i 0.854010 0.520257i \(-0.174164\pi\)
−0.697248 + 0.716830i \(0.745592\pi\)
\(402\) 2.14528 1.03311i 0.106997 0.0515270i
\(403\) 6.01669 7.54470i 0.299713 0.375828i
\(404\) −4.21061 + 18.4479i −0.209486 + 0.917817i
\(405\) 1.52502 1.91231i 0.0757786 0.0950234i
\(406\) −0.170873 0.325690i −0.00848026 0.0161637i
\(407\) 0.00834519 + 0.0104645i 0.000413656 + 0.000518708i
\(408\) −10.0645 + 4.84683i −0.498269 + 0.239954i
\(409\) 0.205695 0.901208i 0.0101710 0.0445619i −0.969588 0.244744i \(-0.921296\pi\)
0.979759 + 0.200182i \(0.0641533\pi\)
\(410\) −0.631489 −0.0311870
\(411\) −27.0056 −1.33209
\(412\) −0.718080 + 3.14611i −0.0353773 + 0.154998i
\(413\) 5.93615 1.57134i 0.292099 0.0773205i
\(414\) −0.127441 0.558355i −0.00626338 0.0274417i
\(415\) 0.648751 + 2.84236i 0.0318459 + 0.139526i
\(416\) 1.76742 + 2.21628i 0.0866551 + 0.108662i
\(417\) −16.1173 20.2105i −0.789268 0.989710i
\(418\) 0.000734995 0.00322022i 3.59498e−5 0.000157506i
\(419\) −3.29624 14.4418i −0.161032 0.705526i −0.989385 0.145320i \(-0.953579\pi\)
0.828353 0.560206i \(-0.189278\pi\)
\(420\) −1.74740 + 1.49458i −0.0852646 + 0.0729280i
\(421\) −2.83714 + 12.4303i −0.138274 + 0.605817i 0.857540 + 0.514417i \(0.171992\pi\)
−0.995814 + 0.0914007i \(0.970866\pi\)
\(422\) −2.81350 −0.136959
\(423\) 4.19017 0.203733
\(424\) 0.902142 3.95254i 0.0438119 0.191952i
\(425\) −27.6771 + 13.3286i −1.34254 + 0.646531i
\(426\) −0.746303 0.935835i −0.0361585 0.0453413i
\(427\) −1.20384 + 2.73660i −0.0582580 + 0.132433i
\(428\) 3.81245 4.78066i 0.184282 0.231082i
\(429\) 0.000751338 0.00329183i 3.62749e−5 0.000158931i
\(430\) −0.130012 + 0.163030i −0.00626972 + 0.00786198i
\(431\) −15.4892 + 7.45918i −0.746086 + 0.359296i −0.767988 0.640464i \(-0.778742\pi\)
0.0219021 + 0.999760i \(0.493028\pi\)
\(432\) −10.7878 13.5275i −0.519030 0.650843i
\(433\) 9.27204 + 4.46518i 0.445586 + 0.214583i 0.643202 0.765697i \(-0.277606\pi\)
−0.197616 + 0.980280i \(0.563320\pi\)
\(434\) −4.77472 + 4.08388i −0.229194 + 0.196033i
\(435\) 0.228066 0.109831i 0.0109349 0.00526599i
\(436\) −15.1284 7.28543i −0.724517 0.348909i
\(437\) −8.75612 38.3631i −0.418862 1.83516i
\(438\) 2.68226 + 1.29171i 0.128163 + 0.0617201i
\(439\) 0.242266 0.303792i 0.0115627 0.0144992i −0.776017 0.630713i \(-0.782763\pi\)
0.787579 + 0.616213i \(0.211334\pi\)
\(440\) −0.000426921 0 −2.03527e−5 0
\(441\) 0.881499 + 2.92042i 0.0419761 + 0.139068i
\(442\) −1.52981 −0.0727654
\(443\) 12.4234 15.5785i 0.590254 0.740155i −0.393570 0.919295i \(-0.628760\pi\)
0.983824 + 0.179140i \(0.0573314\pi\)
\(444\) −23.7988 11.4609i −1.12944 0.543911i
\(445\) −0.843954 3.69760i −0.0400073 0.175283i
\(446\) −4.75418 2.28949i −0.225117 0.108411i
\(447\) −3.46835 + 1.67027i −0.164047 + 0.0790011i
\(448\) 8.09179 + 15.4233i 0.382301 + 0.728681i
\(449\) 4.37925 + 2.10893i 0.206669 + 0.0995267i 0.534355 0.845260i \(-0.320554\pi\)
−0.327686 + 0.944787i \(0.606269\pi\)
\(450\) −0.330418 0.414331i −0.0155760 0.0195317i
\(451\) 0.0174206 0.00838934i 0.000820306 0.000395038i
\(452\) −22.5288 + 28.2502i −1.05967 + 1.32878i
\(453\) 1.46177 6.40444i 0.0686801 0.300907i
\(454\) −0.800317 + 1.00357i −0.0375608 + 0.0470997i
\(455\) −0.618324 + 0.163675i −0.0289875 + 0.00767318i
\(456\) −8.25544 10.3520i −0.386597 0.484777i
\(457\) 5.56640 2.68064i 0.260385 0.125395i −0.299137 0.954210i \(-0.596699\pi\)
0.559523 + 0.828815i \(0.310985\pi\)
\(458\) −1.34220 + 5.88057i −0.0627170 + 0.274781i
\(459\) 29.5470 1.37914
\(460\) 2.50390 0.116745
\(461\) 4.11810 18.0426i 0.191799 0.840326i −0.783843 0.620959i \(-0.786743\pi\)
0.975642 0.219368i \(-0.0703994\pi\)
\(462\) −0.000885211 0.00201228i −4.11837e−5 9.36198e-5i
\(463\) 2.30678 + 10.1067i 0.107205 + 0.469696i 0.999822 + 0.0188798i \(0.00600999\pi\)
−0.892617 + 0.450817i \(0.851133\pi\)
\(464\) −0.457588 2.00482i −0.0212430 0.0930715i
\(465\) −2.69615 3.38087i −0.125031 0.156784i
\(466\) −3.68582 4.62188i −0.170743 0.214104i
\(467\) 5.35910 + 23.4797i 0.247989 + 1.08651i 0.933536 + 0.358484i \(0.116706\pi\)
−0.685547 + 0.728029i \(0.740437\pi\)
\(468\) 0.188074 + 0.824006i 0.00869372 + 0.0380897i
\(469\) 13.5622 + 2.60867i 0.626246 + 0.120457i
\(470\) 0.127287 0.557681i 0.00587131 0.0257239i
\(471\) 12.8370 0.591498
\(472\) −2.25002 −0.103565
\(473\) 0.00142073 0.00622463i 6.53253e−5 0.000286209i
\(474\) −0.275599 + 0.132722i −0.0126587 + 0.00609610i
\(475\) −22.7021 28.4676i −1.04164 1.30618i
\(476\) −31.3244 6.02520i −1.43575 0.276165i
\(477\) 1.13629 1.42487i 0.0520273 0.0652402i
\(478\) −0.673521 + 2.95089i −0.0308061 + 0.134971i
\(479\) 2.47002 3.09731i 0.112858 0.141520i −0.722194 0.691691i \(-0.756866\pi\)
0.835052 + 0.550171i \(0.185438\pi\)
\(480\) 1.14448 0.551152i 0.0522381 0.0251565i
\(481\) −4.58126 5.74472i −0.208888 0.261937i
\(482\) −4.85208 2.33664i −0.221006 0.106431i
\(483\) 10.5457 23.9726i 0.479845 1.09079i
\(484\) −19.2211 + 9.25641i −0.873688 + 0.420746i
\(485\) −2.72487 1.31223i −0.123730 0.0595852i
\(486\) 0.246126 + 1.07835i 0.0111645 + 0.0489149i
\(487\) 20.8449 + 10.0384i 0.944573 + 0.454883i 0.841780 0.539820i \(-0.181508\pi\)
0.102793 + 0.994703i \(0.467222\pi\)
\(488\) 0.683014 0.856473i 0.0309186 0.0387707i
\(489\) 18.4766 0.835542
\(490\) 0.415464 0.0286058i 0.0187688 0.00129228i
\(491\) 23.4088 1.05643 0.528213 0.849112i \(-0.322862\pi\)
0.528213 + 0.849112i \(0.322862\pi\)
\(492\) −23.7916 + 29.8337i −1.07261 + 1.34501i
\(493\) 3.16389 + 1.52365i 0.142494 + 0.0686217i
\(494\) −0.403491 1.76781i −0.0181539 0.0795375i
\(495\) −0.000172908 0 8.32681e-5i −7.77163e−6 0 3.74262e-6i
\(496\) −31.6502 + 15.2420i −1.42114 + 0.684384i
\(497\) −0.238590 6.93866i −0.0107022 0.311241i
\(498\) −4.95618 2.38677i −0.222092 0.106954i
\(499\) 9.29278 + 11.6528i 0.416002 + 0.521650i 0.945043 0.326946i \(-0.106020\pi\)
−0.529041 + 0.848596i \(0.677448\pi\)
\(500\) 4.19966 2.02245i 0.187814 0.0904467i
\(501\) −16.2195 + 20.3386i −0.724635 + 0.908664i
\(502\) 1.15449 5.05813i 0.0515272 0.225755i
\(503\) −1.83518 + 2.30124i −0.0818266 + 0.102607i −0.821060 0.570842i \(-0.806617\pi\)
0.739233 + 0.673450i \(0.235188\pi\)
\(504\) −0.0384127 1.11711i −0.00171104 0.0497602i
\(505\) 1.47062 + 1.84410i 0.0654417 + 0.0820613i
\(506\) 0.00215684 0.00103868i 9.58831e−5 4.61749e-5i
\(507\) −0.412462 + 1.80712i −0.0183181 + 0.0802568i
\(508\) −36.4510 −1.61725
\(509\) 35.9029 1.59137 0.795684 0.605712i \(-0.207112\pi\)
0.795684 + 0.605712i \(0.207112\pi\)
\(510\) −0.152544 + 0.668337i −0.00675474 + 0.0295945i
\(511\) 8.02243 + 15.2911i 0.354891 + 0.676437i
\(512\) −3.86685 16.9418i −0.170892 0.748728i
\(513\) 7.79311 + 34.1439i 0.344074 + 1.50749i
\(514\) 4.37924 + 5.49139i 0.193160 + 0.242215i
\(515\) 0.250800 + 0.314494i 0.0110516 + 0.0138582i
\(516\) 2.80383 + 12.2844i 0.123432 + 0.540789i
\(517\) 0.00389738 + 0.0170755i 0.000171406 + 0.000750981i
\(518\) 2.22261 + 4.23639i 0.0976560 + 0.186136i
\(519\) −7.68302 + 33.6615i −0.337247 + 1.47758i
\(520\) 0.234367 0.0102777
\(521\) 14.3227 0.627489 0.313745 0.949507i \(-0.398416\pi\)
0.313745 + 0.949507i \(0.398416\pi\)
\(522\) −0.0134805 + 0.0590619i −0.000590025 + 0.00258507i
\(523\) 16.8137 8.09707i 0.735214 0.354060i −0.0285187 0.999593i \(-0.509079\pi\)
0.763732 + 0.645533i \(0.223365\pi\)
\(524\) 15.4935 + 19.4282i 0.676836 + 0.848726i
\(525\) −0.832812 24.2197i −0.0363469 1.05704i
\(526\) 1.14185 1.43184i 0.0497871 0.0624310i
\(527\) 13.3489 58.4854i 0.581488 2.54767i
\(528\) −0.00766359 + 0.00960984i −0.000333515 + 0.000418215i
\(529\) −4.97249 + 2.39462i −0.216195 + 0.104114i
\(530\) −0.155122 0.194516i −0.00673805 0.00844925i
\(531\) −0.911282 0.438850i −0.0395463 0.0190445i
\(532\) −1.29933 37.7870i −0.0563332 1.63827i
\(533\) −9.56342 + 4.60550i −0.414238 + 0.199486i
\(534\) 6.44744 + 3.10492i 0.279008 + 0.134363i
\(535\) −0.169606 0.743094i −0.00733272 0.0321268i
\(536\) −4.55937 2.19568i −0.196935 0.0948388i
\(537\) −16.9366 + 21.2378i −0.730868 + 0.916479i
\(538\) 2.94200 0.126838
\(539\) −0.0110812 + 0.00630858i −0.000477301 + 0.000271730i
\(540\) −2.22852 −0.0959002
\(541\) 4.25129 5.33095i 0.182777 0.229196i −0.681999 0.731354i \(-0.738889\pi\)
0.864776 + 0.502158i \(0.167460\pi\)
\(542\) −0.903034 0.434878i −0.0387886 0.0186796i
\(543\) −4.85748 21.2820i −0.208454 0.913298i
\(544\) 15.8770 + 7.64595i 0.680720 + 0.327818i
\(545\) −1.88577 + 0.908139i −0.0807775 + 0.0389004i
\(546\) 0.485955 1.10468i 0.0207970 0.0472761i
\(547\) −28.4187 13.6857i −1.21509 0.585159i −0.287153 0.957885i \(-0.592709\pi\)
−0.927941 + 0.372726i \(0.878423\pi\)
\(548\) 17.6176 + 22.0917i 0.752585 + 0.943712i
\(549\) 0.443677 0.213664i 0.0189357 0.00911895i
\(550\) 0.00138113 0.00173188i 5.88914e−5 7.38474e-5i
\(551\) −0.926209 + 4.05799i −0.0394578 + 0.172876i
\(552\) −5.98321 + 7.50271i −0.254662 + 0.319337i
\(553\) −1.74231 0.335130i −0.0740905 0.0142512i
\(554\) −1.80481 2.26316i −0.0766791 0.0961525i
\(555\) −2.96656 + 1.42862i −0.125923 + 0.0606415i
\(556\) −6.01862 + 26.3693i −0.255246 + 1.11831i
\(557\) −21.1284 −0.895237 −0.447619 0.894225i \(-0.647728\pi\)
−0.447619 + 0.894225i \(0.647728\pi\)
\(558\) 1.03490 0.0438109
\(559\) −0.779940 + 3.41714i −0.0329880 + 0.144530i
\(560\) 2.28650 + 0.439805i 0.0966225 + 0.0185852i
\(561\) −0.00467070 0.0204637i −0.000197197 0.000863977i
\(562\) 0.492802 + 2.15911i 0.0207876 + 0.0910765i
\(563\) 25.8484 + 32.4128i 1.08938 + 1.36604i 0.925144 + 0.379616i \(0.123944\pi\)
0.164234 + 0.986421i \(0.447485\pi\)
\(564\) −21.5511 27.0243i −0.907467 1.13793i
\(565\) 1.00225 + 4.39114i 0.0421650 + 0.184737i
\(566\) −0.731620 3.20543i −0.0307523 0.134734i
\(567\) −10.7787 + 24.5023i −0.452661 + 1.02900i
\(568\) −0.566080 + 2.48016i −0.0237522 + 0.104065i
\(569\) 11.4186 0.478691 0.239345 0.970934i \(-0.423067\pi\)
0.239345 + 0.970934i \(0.423067\pi\)
\(570\) −0.812549 −0.0340339
\(571\) 0.253718 1.11161i 0.0106178 0.0465195i −0.969342 0.245717i \(-0.920976\pi\)
0.979959 + 0.199198i \(0.0638336\pi\)
\(572\) −0.00318300 + 0.00153285i −0.000133088 + 6.40918e-5i
\(573\) 5.63049 + 7.06041i 0.235217 + 0.294953i
\(574\) 6.68091 1.76848i 0.278856 0.0738150i
\(575\) −16.4536 + 20.6321i −0.686162 + 0.860420i
\(576\) 0.638378 2.79692i 0.0265991 0.116538i
\(577\) −20.2795 + 25.4297i −0.844247 + 1.05865i 0.153267 + 0.988185i \(0.451020\pi\)
−0.997514 + 0.0704671i \(0.977551\pi\)
\(578\) −4.79907 + 2.31111i −0.199615 + 0.0961295i
\(579\) −20.7214 25.9839i −0.861154 1.07985i
\(580\) −0.238630 0.114918i −0.00990855 0.00477171i
\(581\) −14.8236 28.2543i −0.614985 1.17219i
\(582\) 5.14132 2.47593i 0.213115 0.102631i
\(583\) 0.00686342 + 0.00330525i 0.000284254 + 0.000136889i
\(584\) −1.40793 6.16856i −0.0582607 0.255257i
\(585\) 0.0949214 + 0.0457117i 0.00392452 + 0.00188995i
\(586\) 4.85301 6.08549i 0.200476 0.251389i
\(587\) −17.2126 −0.710440 −0.355220 0.934783i \(-0.615594\pi\)
−0.355220 + 0.934783i \(0.615594\pi\)
\(588\) 14.3013 20.7057i 0.589776 0.853887i
\(589\) 71.1053 2.92984
\(590\) −0.0860902 + 0.107954i −0.00354428 + 0.00444438i
\(591\) 35.4057 + 17.0505i 1.45640 + 0.701363i
\(592\) 5.95204 + 26.0776i 0.244627 + 1.07178i
\(593\) 10.5133 + 5.06294i 0.431730 + 0.207910i 0.637111 0.770772i \(-0.280129\pi\)
−0.205381 + 0.978682i \(0.565843\pi\)
\(594\) −0.00191962 0.000924443i −7.87632e−5 3.79303e-5i
\(595\) −3.02169 + 2.58449i −0.123877 + 0.105954i
\(596\) 3.62899 + 1.74763i 0.148649 + 0.0715858i
\(597\) 26.4787 + 33.2033i 1.08370 + 1.35892i
\(598\) −1.18404 + 0.570204i −0.0484190 + 0.0233174i
\(599\) −25.8617 + 32.4296i −1.05668 + 1.32504i −0.113213 + 0.993571i \(0.536114\pi\)
−0.943468 + 0.331465i \(0.892457\pi\)
\(600\) −1.97593 + 8.65712i −0.0806671 + 0.353426i
\(601\) 2.99165 3.75141i 0.122032 0.153023i −0.717063 0.697009i \(-0.754514\pi\)
0.839095 + 0.543985i \(0.183085\pi\)
\(602\) 0.918910 2.08889i 0.0374520 0.0851366i
\(603\) −1.41834 1.77855i −0.0577595 0.0724281i
\(604\) −6.19272 + 2.98226i −0.251978 + 0.121346i
\(605\) −0.591748 + 2.59262i −0.0240580 + 0.105405i
\(606\) −4.45041 −0.180786
\(607\) 12.1058 0.491359 0.245679 0.969351i \(-0.420989\pi\)
0.245679 + 0.969351i \(0.420989\pi\)
\(608\) −4.64789 + 20.3637i −0.188497 + 0.825859i
\(609\) −2.10527 + 1.80067i −0.0853099 + 0.0729667i
\(610\) −0.0149593 0.0655408i −0.000605682 0.00265367i
\(611\) −2.13955 9.37396i −0.0865568 0.379230i
\(612\) 3.27592 + 4.10788i 0.132421 + 0.166051i
\(613\) 18.9234 + 23.7292i 0.764308 + 0.958412i 0.999910 0.0134377i \(-0.00427747\pi\)
−0.235602 + 0.971850i \(0.575706\pi\)
\(614\) 0.792004 + 3.47000i 0.0319627 + 0.140038i
\(615\) 1.05843 + 4.63727i 0.0426799 + 0.186993i
\(616\) 0.00451666 0.00119559i 0.000181982 4.81717e-5i
\(617\) 3.86493 16.9334i 0.155596 0.681711i −0.835603 0.549333i \(-0.814882\pi\)
0.991199 0.132378i \(-0.0422612\pi\)
\(618\) −0.758977 −0.0305305
\(619\) 5.77000 0.231916 0.115958 0.993254i \(-0.463006\pi\)
0.115958 + 0.993254i \(0.463006\pi\)
\(620\) −1.00681 + 4.41114i −0.0404346 + 0.177156i
\(621\) 22.8688 11.0130i 0.917694 0.441938i
\(622\) 3.58207 + 4.49177i 0.143628 + 0.180104i
\(623\) 19.2838 + 36.7557i 0.772590 + 1.47259i
\(624\) 4.20709 5.27552i 0.168418 0.211190i
\(625\) −5.36871 + 23.5218i −0.214748 + 0.940873i
\(626\) 4.01402 5.03342i 0.160432 0.201176i
\(627\) 0.0224155 0.0107947i 0.000895187 0.000431099i
\(628\) −8.37444 10.5012i −0.334177 0.419044i
\(629\) −41.1540 19.8187i −1.64092 0.790225i
\(630\) −0.0550678 0.0409000i −0.00219396 0.00162950i
\(631\) −0.896837 + 0.431894i −0.0357025 + 0.0171934i −0.451650 0.892195i \(-0.649164\pi\)
0.415947 + 0.909389i \(0.363450\pi\)
\(632\) 0.585732 + 0.282074i 0.0232992 + 0.0112203i
\(633\) 4.71566 + 20.6606i 0.187430 + 0.821187i
\(634\) −4.41671 2.12697i −0.175410 0.0844730i
\(635\) −2.83293 + 3.55238i −0.112421 + 0.140972i
\(636\) −15.0339 −0.596131
\(637\) 6.08326 3.46323i 0.241028 0.137218i
\(638\) −0.000253224 0 −1.00252e−5 0
\(639\) −0.713007 + 0.894082i −0.0282061 + 0.0353693i
\(640\) −1.58774 0.764613i −0.0627608 0.0302240i
\(641\) −4.76128 20.8605i −0.188059 0.823942i −0.977638 0.210293i \(-0.932558\pi\)
0.789579 0.613649i \(-0.210299\pi\)
\(642\) 1.29572 + 0.623985i 0.0511380 + 0.0246267i
\(643\) −3.25140 + 1.56579i −0.128223 + 0.0617488i −0.496895 0.867811i \(-0.665527\pi\)
0.368672 + 0.929559i \(0.379812\pi\)
\(644\) −26.4903 + 7.01216i −1.04386 + 0.276318i
\(645\) 1.41510 + 0.681476i 0.0557195 + 0.0268331i
\(646\) −7.02812 8.81298i −0.276518 0.346742i
\(647\) −41.4926 + 19.9818i −1.63124 + 0.785565i −0.631293 + 0.775544i \(0.717476\pi\)
−0.999950 + 0.0100211i \(0.996810\pi\)
\(648\) 6.11540 7.66847i 0.240236 0.301246i
\(649\) 0.000940770 0.00412178i 3.69284e−5 0.000161794i
\(650\) −0.758198 + 0.950750i −0.0297390 + 0.0372915i
\(651\) 37.9924 + 28.2177i 1.48904 + 1.10594i
\(652\) −12.0536 15.1147i −0.472054 0.591937i
\(653\) −27.1411 + 13.0705i −1.06211 + 0.511487i −0.881557 0.472078i \(-0.843504\pi\)
−0.180556 + 0.983565i \(0.557790\pi\)
\(654\) 0.878778 3.85018i 0.0343629 0.150554i
\(655\) 3.09754 0.121031
\(656\) 38.6405 1.50866
\(657\) 0.632906 2.77294i 0.0246920 0.108183i
\(658\) 0.215134 + 6.25652i 0.00838681 + 0.243904i
\(659\) 7.45621 + 32.6678i 0.290453 + 1.27256i 0.883897 + 0.467682i \(0.154911\pi\)
−0.593444 + 0.804875i \(0.702232\pi\)
\(660\) 0.000352278 0.00154343i 1.37124e−5 6.00779e-5i
\(661\) −20.9337 26.2500i −0.814227 1.02101i −0.999267 0.0382769i \(-0.987813\pi\)
0.185041 0.982731i \(-0.440758\pi\)
\(662\) 4.99392 + 6.26218i 0.194094 + 0.243387i
\(663\) 2.56408 + 11.2340i 0.0995805 + 0.436291i
\(664\) 2.60153 + 11.3980i 0.100959 + 0.442330i
\(665\) −3.78356 2.81013i −0.146720 0.108972i
\(666\) 0.175347 0.768244i 0.00679454 0.0297688i
\(667\) 3.01670 0.116807
\(668\) 27.2190 1.05313
\(669\) −8.84424 + 38.7492i −0.341938 + 1.49813i
\(670\) −0.279797 + 0.134743i −0.0108095 + 0.00520559i
\(671\) 0.00128338 + 0.00160931i 4.95445e−5 + 6.21268e-5i
\(672\) −10.5647 + 9.03609i −0.407540 + 0.348575i
\(673\) −26.5867 + 33.3386i −1.02484 + 1.28511i −0.0670176 + 0.997752i \(0.521348\pi\)
−0.957823 + 0.287358i \(0.907223\pi\)
\(674\) −0.593945 + 2.60224i −0.0228779 + 0.100235i
\(675\) 14.6440 18.3630i 0.563648 0.706792i
\(676\) 1.74738 0.841492i 0.0672068 0.0323651i
\(677\) −15.9078 19.9478i −0.611387 0.766656i 0.375717 0.926735i \(-0.377397\pi\)
−0.987104 + 0.160079i \(0.948825\pi\)
\(678\) −7.65675 3.68730i −0.294056 0.141610i
\(679\) 32.5029 + 6.25188i 1.24735 + 0.239925i
\(680\) 1.31266 0.632146i 0.0503384 0.0242417i
\(681\) 8.71098 + 4.19499i 0.333805 + 0.160752i
\(682\) 0.000962586 0.00421736i 3.68593e−5 0.000161491i
\(683\) 22.3121 + 10.7450i 0.853750 + 0.411144i 0.808968 0.587853i \(-0.200027\pi\)
0.0447816 + 0.998997i \(0.485741\pi\)
\(684\) −3.88294 + 4.86905i −0.148468 + 0.186173i
\(685\) 3.52219 0.134576
\(686\) −4.31534 + 1.46614i −0.164760 + 0.0559776i
\(687\) 45.4330 1.73338
\(688\) 7.95534 9.97568i 0.303294 0.380319i
\(689\) −3.76782 1.81449i −0.143542 0.0691264i
\(690\) 0.131043 + 0.574138i 0.00498873 + 0.0218571i
\(691\) −1.47635 0.710971i −0.0561629 0.0270466i 0.405591 0.914054i \(-0.367066\pi\)
−0.461754 + 0.887008i \(0.652780\pi\)
\(692\) 32.5487 15.6746i 1.23732 0.595860i
\(693\) 0.00206249 0.000396716i 7.83475e−5 1.50700e-5i
\(694\) −1.99585 0.961151i −0.0757614 0.0364848i
\(695\) 2.10209 + 2.63594i 0.0797370 + 0.0999870i
\(696\) 0.914559 0.440429i 0.0346663 0.0166944i
\(697\) −41.1414 + 51.5897i −1.55834 + 1.95410i
\(698\) 0.0671099 0.294028i 0.00254015 0.0111291i
\(699\) −27.7625 + 34.8131i −1.05007 + 1.31675i
\(700\) −19.2695 + 16.4815i −0.728319 + 0.622940i
\(701\) 10.5481 + 13.2268i 0.398395 + 0.499571i 0.940053 0.341027i \(-0.110775\pi\)
−0.541659 + 0.840599i \(0.682203\pi\)
\(702\) 1.05382 0.507492i 0.0397738 0.0191541i
\(703\) 12.0476 52.7840i 0.454384 1.99079i
\(704\) 0.0119916 0.000451950
\(705\) −4.30861 −0.162272
\(706\) 0.527054 2.30917i 0.0198359 0.0869069i
\(707\) −20.7230 15.3914i −0.779367 0.578852i
\(708\) 1.85662 + 8.13438i 0.0697760 + 0.305709i
\(709\) −5.19654 22.7675i −0.195160 0.855052i −0.973768 0.227542i \(-0.926931\pi\)
0.778608 0.627510i \(-0.215926\pi\)
\(710\) 0.0973364 + 0.122056i 0.00365297 + 0.00458068i
\(711\) 0.182211 + 0.228486i 0.00683346 + 0.00856889i
\(712\) −3.38431 14.8276i −0.126832 0.555688i
\(713\) −11.4675 50.2422i −0.429459 1.88158i
\(714\) −0.257822 7.49794i −0.00964873 0.280603i
\(715\) −9.79929e−5 0 0.000429335i −3.66473e−6 0 1.60562e-5i
\(716\) 28.4223 1.06219
\(717\) 22.7984 0.851422
\(718\) −1.09895 + 4.81483i −0.0410126 + 0.179688i
\(719\) −22.0161 + 10.6024i −0.821061 + 0.395402i −0.796755 0.604303i \(-0.793452\pi\)
−0.0243057 + 0.999705i \(0.507738\pi\)
\(720\) −0.239124 0.299852i −0.00891161 0.0111748i
\(721\) −3.53411 2.62486i −0.131617 0.0977548i
\(722\) 5.41517 6.79041i 0.201532 0.252713i
\(723\) −9.02637 + 39.5471i −0.335694 + 1.47077i
\(724\) −14.2407 + 17.8573i −0.529253 + 0.663662i
\(725\) 2.51500 1.21116i 0.0934048 0.0449814i
\(726\) −3.12842 3.92291i −0.116106 0.145593i
\(727\) −3.46947 1.67081i −0.128676 0.0619669i 0.368438 0.929652i \(-0.379893\pi\)
−0.497114 + 0.867685i \(0.665607\pi\)
\(728\) −2.47952 + 0.656344i −0.0918970 + 0.0243257i
\(729\) −19.8403 + 9.55461i −0.734828 + 0.353874i
\(730\) −0.349832 0.168470i −0.0129479 0.00623537i
\(731\) 4.84851 + 21.2427i 0.179329 + 0.785690i
\(732\) −3.65996 1.76254i −0.135276 0.0651455i
\(733\) 0.234755 0.294374i 0.00867089 0.0108729i −0.777477 0.628911i \(-0.783501\pi\)
0.786148 + 0.618038i \(0.212072\pi\)
\(734\) 8.11919 0.299685
\(735\) −0.906416 3.00297i −0.0334336 0.110766i
\(736\) 15.1384 0.558008
\(737\) 0.00592859 0.00743422i 0.000218382 0.000273843i
\(738\) −1.02561 0.493909i −0.0377534 0.0181811i
\(739\) 2.64571 + 11.5916i 0.0973242 + 0.426405i 0.999992 0.00393240i \(-0.00125172\pi\)
−0.902668 + 0.430337i \(0.858395\pi\)
\(740\) 3.10396 + 1.49479i 0.114104 + 0.0549495i
\(741\) −12.3054 + 5.92598i −0.452051 + 0.217696i
\(742\) 2.18587 + 1.62349i 0.0802457 + 0.0596002i
\(743\) 13.7451 + 6.61927i 0.504257 + 0.242837i 0.668677 0.743553i \(-0.266861\pi\)
−0.164420 + 0.986390i \(0.552575\pi\)
\(744\) −10.8117 13.5575i −0.396377 0.497042i
\(745\) 0.452359 0.217844i 0.0165731 0.00798120i
\(746\) 1.74653 2.19008i 0.0639452 0.0801847i
\(747\) −1.16946 + 5.12375i −0.0427884 + 0.187468i
\(748\) −0.0136931 + 0.0171707i −0.000500671 + 0.000627822i
\(749\) 3.87540 + 7.38667i 0.141604 + 0.269903i
\(750\) 0.683534 + 0.857124i 0.0249591 + 0.0312977i
\(751\) 12.8756 6.20056i 0.469837 0.226262i −0.183957 0.982934i \(-0.558891\pi\)
0.653794 + 0.756673i \(0.273176\pi\)
\(752\) −7.78862 + 34.1242i −0.284022 + 1.24438i
\(753\) −39.0789 −1.42411
\(754\) 0.139013 0.00506254
\(755\) −0.190651 + 0.835297i −0.00693851 + 0.0303996i
\(756\) 23.5769 6.24095i 0.857482 0.226981i
\(757\) −1.71114 7.49698i −0.0621923 0.272482i 0.934265 0.356579i \(-0.116057\pi\)
−0.996458 + 0.0840963i \(0.973200\pi\)
\(758\) −0.480529 2.10533i −0.0174536 0.0764692i
\(759\) −0.0112425 0.0140976i −0.000408075 0.000511710i
\(760\) 1.07671 + 1.35016i 0.0390565 + 0.0489753i
\(761\) −6.73799 29.5211i −0.244252 1.07014i −0.937102 0.349056i \(-0.886502\pi\)
0.692850 0.721082i \(-0.256355\pi\)
\(762\) −1.90768 8.35811i −0.0691081 0.302782i
\(763\) 17.4075 14.8888i 0.630193 0.539012i
\(764\) 2.10257 9.21196i 0.0760683 0.333277i
\(765\) 0.654939 0.0236794
\(766\) −0.844473 −0.0305120
\(767\) −0.516455 + 2.26274i −0.0186481 + 0.0817027i
\(768\) −18.9919 + 9.14603i −0.685312 + 0.330029i
\(769\) −6.10660 7.65743i −0.220210 0.276134i 0.659439 0.751758i \(-0.270794\pi\)
−0.879649 + 0.475624i \(0.842222\pi\)
\(770\) 0.000115453 0 0.000262451i 4.16065e−6 0 9.45808e-6i
\(771\) 32.9855 41.3625i 1.18794 1.48963i
\(772\) −7.73792 + 33.9021i −0.278494 + 1.22016i
\(773\) 19.6307 24.6161i 0.706068 0.885381i −0.291393 0.956603i \(-0.594119\pi\)
0.997460 +