Properties

Label 392.2.z.a.37.15
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.15
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.824960 + 1.14867i) q^{2} +(-1.48945 - 1.60524i) q^{3} +(-0.638881 - 1.89521i) q^{4} +(1.25029 - 4.05335i) q^{5} +(3.07263 - 0.386620i) q^{6} +(2.55536 - 0.685667i) q^{7} +(2.70402 + 0.829613i) q^{8} +(-0.134159 + 1.79023i) q^{9} +O(q^{10})\) \(q+(-0.824960 + 1.14867i) q^{2} +(-1.48945 - 1.60524i) q^{3} +(-0.638881 - 1.89521i) q^{4} +(1.25029 - 4.05335i) q^{5} +(3.07263 - 0.386620i) q^{6} +(2.55536 - 0.685667i) q^{7} +(2.70402 + 0.829613i) q^{8} +(-0.134159 + 1.79023i) q^{9} +(3.62452 + 4.78003i) q^{10} +(-5.31750 + 0.398492i) q^{11} +(-2.09070 + 3.84838i) q^{12} +(1.33482 - 2.77179i) q^{13} +(-1.32047 + 3.50091i) q^{14} +(-8.36885 + 4.03023i) q^{15} +(-3.18366 + 2.42163i) q^{16} +(0.221290 + 0.0333541i) q^{17} +(-1.94571 - 1.63098i) q^{18} +(4.52324 + 2.61149i) q^{19} +(-8.48075 + 0.220036i) q^{20} +(-4.90673 - 3.08071i) q^{21} +(3.92899 - 6.43679i) q^{22} +(2.76583 - 0.416882i) q^{23} +(-2.69577 - 5.57628i) q^{24} +(-10.7352 - 7.31915i) q^{25} +(2.08269 + 3.81988i) q^{26} +(-2.06260 + 1.64487i) q^{27} +(-2.93205 - 4.40489i) q^{28} +(1.75874 + 1.40254i) q^{29} +(2.27458 - 12.9378i) q^{30} +(-0.285976 - 0.495326i) q^{31} +(-0.155255 - 5.65472i) q^{32} +(8.55981 + 7.94235i) q^{33} +(-0.220868 + 0.226673i) q^{34} +(0.415701 - 11.2151i) q^{35} +(3.47858 - 0.889485i) q^{36} +(-2.64765 + 1.03913i) q^{37} +(-6.73123 + 3.04133i) q^{38} +(-6.43754 + 1.98572i) q^{39} +(6.74353 - 9.92310i) q^{40} +(-0.686642 - 3.00838i) q^{41} +(7.58657 - 3.09475i) q^{42} +(7.43650 + 1.69733i) q^{43} +(4.15248 + 9.82321i) q^{44} +(7.08870 + 2.78211i) q^{45} +(-1.80284 + 3.52094i) q^{46} +(-9.37630 + 6.39265i) q^{47} +(8.62920 + 1.50366i) q^{48} +(6.05972 - 3.50425i) q^{49} +(17.2634 - 6.29321i) q^{50} +(-0.276058 - 0.404903i) q^{51} +(-6.10592 - 0.758931i) q^{52} +(0.164186 + 0.0644382i) q^{53} +(-0.187846 - 3.72619i) q^{54} +(-5.03321 + 22.0519i) q^{55} +(7.47859 + 0.265901i) q^{56} +(-2.54505 - 11.1506i) q^{57} +(-3.06195 + 0.863161i) q^{58} +(-2.49119 - 8.07623i) q^{59} +(12.9848 + 13.2859i) q^{60} +(1.03222 - 0.405116i) q^{61} +(0.804884 + 0.0801318i) q^{62} +(0.884677 + 4.66668i) q^{63} +(6.62348 + 4.48659i) q^{64} +(-9.56611 - 8.87605i) q^{65} +(-16.1846 + 3.28027i) q^{66} +(-11.4437 + 6.60700i) q^{67} +(-0.0781647 - 0.440701i) q^{68} +(-4.78875 - 3.81890i) q^{69} +(12.5394 + 9.72948i) q^{70} +(-0.725683 - 0.909977i) q^{71} +(-1.84797 + 4.72953i) q^{72} +(6.74083 + 4.59582i) q^{73} +(0.990595 - 3.89851i) q^{74} +(4.24054 + 28.1341i) q^{75} +(2.05953 - 10.2409i) q^{76} +(-13.3149 + 4.66432i) q^{77} +(3.02978 - 9.03274i) q^{78} +(4.67829 - 8.10303i) q^{79} +(5.83520 + 15.9322i) q^{80} +(11.0381 + 1.66373i) q^{81} +(4.02208 + 1.69307i) q^{82} +(-1.51482 - 3.14556i) q^{83} +(-2.70378 + 11.2675i) q^{84} +(0.411873 - 0.855263i) q^{85} +(-8.08449 + 7.14184i) q^{86} +(-0.368119 - 4.91221i) q^{87} +(-14.7092 - 3.33394i) q^{88} +(0.794611 - 10.6034i) q^{89} +(-9.04363 + 5.84744i) q^{90} +(1.51043 - 7.99816i) q^{91} +(-2.55712 - 4.97550i) q^{92} +(-0.369171 + 1.19682i) q^{93} +(0.392034 - 16.0439i) q^{94} +(16.2407 - 15.0691i) q^{95} +(-8.84595 + 8.67163i) q^{96} +8.28730 q^{97} +(-0.973810 + 9.85148i) q^{98} -9.57303i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.824960 + 1.14867i −0.583335 + 0.812232i
\(3\) −1.48945 1.60524i −0.859933 0.926787i 0.138040 0.990427i \(-0.455920\pi\)
−0.997973 + 0.0636398i \(0.979729\pi\)
\(4\) −0.638881 1.89521i −0.319440 0.947606i
\(5\) 1.25029 4.05335i 0.559148 1.81271i −0.0231418 0.999732i \(-0.507367\pi\)
0.582290 0.812981i \(-0.302157\pi\)
\(6\) 3.07263 0.386620i 1.25439 0.157837i
\(7\) 2.55536 0.685667i 0.965835 0.259158i
\(8\) 2.70402 + 0.829613i 0.956017 + 0.293312i
\(9\) −0.134159 + 1.79023i −0.0447198 + 0.596744i
\(10\) 3.62452 + 4.78003i 1.14617 + 1.51158i
\(11\) −5.31750 + 0.398492i −1.60329 + 0.120150i −0.846091 0.533038i \(-0.821050\pi\)
−0.757196 + 0.653188i \(0.773431\pi\)
\(12\) −2.09070 + 3.84838i −0.603532 + 1.11093i
\(13\) 1.33482 2.77179i 0.370213 0.768756i −0.629755 0.776794i \(-0.716845\pi\)
0.999968 + 0.00803866i \(0.00255881\pi\)
\(14\) −1.32047 + 3.50091i −0.352909 + 0.935657i
\(15\) −8.36885 + 4.03023i −2.16083 + 1.04060i
\(16\) −3.18366 + 2.42163i −0.795916 + 0.605407i
\(17\) 0.221290 + 0.0333541i 0.0536707 + 0.00808955i 0.175823 0.984422i \(-0.443741\pi\)
−0.122152 + 0.992511i \(0.538980\pi\)
\(18\) −1.94571 1.63098i −0.458608 0.384425i
\(19\) 4.52324 + 2.61149i 1.03770 + 0.599118i 0.919182 0.393834i \(-0.128852\pi\)
0.118521 + 0.992952i \(0.462185\pi\)
\(20\) −8.48075 + 0.220036i −1.89635 + 0.0492016i
\(21\) −4.90673 3.08071i −1.07074 0.672265i
\(22\) 3.92899 6.43679i 0.837664 1.37233i
\(23\) 2.76583 0.416882i 0.576716 0.0869259i 0.145794 0.989315i \(-0.453426\pi\)
0.430922 + 0.902389i \(0.358188\pi\)
\(24\) −2.69577 5.57628i −0.550272 1.13825i
\(25\) −10.7352 7.31915i −2.14704 1.46383i
\(26\) 2.08269 + 3.81988i 0.408449 + 0.749141i
\(27\) −2.06260 + 1.64487i −0.396947 + 0.316555i
\(28\) −2.93205 4.40489i −0.554106 0.832446i
\(29\) 1.75874 + 1.40254i 0.326589 + 0.260446i 0.773033 0.634365i \(-0.218739\pi\)
−0.446444 + 0.894811i \(0.647310\pi\)
\(30\) 2.27458 12.9378i 0.415279 2.36211i
\(31\) −0.285976 0.495326i −0.0513629 0.0889631i 0.839201 0.543822i \(-0.183023\pi\)
−0.890564 + 0.454858i \(0.849690\pi\)
\(32\) −0.155255 5.65472i −0.0274455 0.999623i
\(33\) 8.55981 + 7.94235i 1.49007 + 1.38258i
\(34\) −0.220868 + 0.226673i −0.0378786 + 0.0388741i
\(35\) 0.415701 11.2151i 0.0702664 1.89569i
\(36\) 3.47858 0.889485i 0.579764 0.148247i
\(37\) −2.64765 + 1.03913i −0.435271 + 0.170831i −0.572851 0.819659i \(-0.694163\pi\)
0.137580 + 0.990491i \(0.456068\pi\)
\(38\) −6.73123 + 3.04133i −1.09195 + 0.493368i
\(39\) −6.43754 + 1.98572i −1.03083 + 0.317969i
\(40\) 6.74353 9.92310i 1.06625 1.56898i
\(41\) −0.686642 3.00838i −0.107235 0.469829i −0.999820 0.0189500i \(-0.993968\pi\)
0.892585 0.450879i \(-0.148889\pi\)
\(42\) 7.58657 3.09475i 1.17063 0.477530i
\(43\) 7.43650 + 1.69733i 1.13406 + 0.258841i 0.748041 0.663652i \(-0.230994\pi\)
0.386014 + 0.922493i \(0.373852\pi\)
\(44\) 4.15248 + 9.82321i 0.626009 + 1.48090i
\(45\) 7.08870 + 2.78211i 1.05672 + 0.414733i
\(46\) −1.80284 + 3.52094i −0.265815 + 0.519134i
\(47\) −9.37630 + 6.39265i −1.36767 + 0.932464i −0.367677 + 0.929954i \(0.619847\pi\)
−0.999997 + 0.00251019i \(0.999201\pi\)
\(48\) 8.62920 + 1.50366i 1.24552 + 0.217035i
\(49\) 6.05972 3.50425i 0.865675 0.500607i
\(50\) 17.2634 6.29321i 2.44142 0.889994i
\(51\) −0.276058 0.404903i −0.0386559 0.0566977i
\(52\) −6.10592 0.758931i −0.846739 0.105245i
\(53\) 0.164186 + 0.0644382i 0.0225527 + 0.00885127i 0.376591 0.926380i \(-0.377096\pi\)
−0.354038 + 0.935231i \(0.615192\pi\)
\(54\) −0.187846 3.72619i −0.0255626 0.507071i
\(55\) −5.03321 + 22.0519i −0.678678 + 2.97348i
\(56\) 7.47859 + 0.265901i 0.999369 + 0.0355325i
\(57\) −2.54505 11.1506i −0.337100 1.47693i
\(58\) −3.06195 + 0.863161i −0.402053 + 0.113339i
\(59\) −2.49119 8.07623i −0.324325 1.05143i −0.960123 0.279579i \(-0.909805\pi\)
0.635798 0.771856i \(-0.280671\pi\)
\(60\) 12.9848 + 13.2859i 1.67634 + 1.71521i
\(61\) 1.03222 0.405116i 0.132162 0.0518698i −0.298338 0.954460i \(-0.596432\pi\)
0.430500 + 0.902590i \(0.358337\pi\)
\(62\) 0.804884 + 0.0801318i 0.102220 + 0.0101768i
\(63\) 0.884677 + 4.66668i 0.111459 + 0.587946i
\(64\) 6.62348 + 4.48659i 0.827936 + 0.560823i
\(65\) −9.56611 8.87605i −1.18653 1.10094i
\(66\) −16.1846 + 3.28027i −1.99219 + 0.403773i
\(67\) −11.4437 + 6.60700i −1.39807 + 0.807174i −0.994190 0.107640i \(-0.965670\pi\)
−0.403876 + 0.914814i \(0.632337\pi\)
\(68\) −0.0781647 0.440701i −0.00947887 0.0534428i
\(69\) −4.78875 3.81890i −0.576498 0.459742i
\(70\) 12.5394 + 9.72948i 1.49875 + 1.16289i
\(71\) −0.725683 0.909977i −0.0861227 0.107994i 0.736903 0.675998i \(-0.236287\pi\)
−0.823026 + 0.568004i \(0.807716\pi\)
\(72\) −1.84797 + 4.72953i −0.217785 + 0.557381i
\(73\) 6.74083 + 4.59582i 0.788955 + 0.537900i 0.889447 0.457038i \(-0.151090\pi\)
−0.100493 + 0.994938i \(0.532042\pi\)
\(74\) 0.990595 3.89851i 0.115154 0.453193i
\(75\) 4.24054 + 28.1341i 0.489655 + 3.24865i
\(76\) 2.05953 10.2409i 0.236244 1.17472i
\(77\) −13.3149 + 4.66432i −1.51737 + 0.531549i
\(78\) 3.02978 9.03274i 0.343055 1.02276i
\(79\) 4.67829 8.10303i 0.526348 0.911662i −0.473180 0.880966i \(-0.656894\pi\)
0.999529 0.0306965i \(-0.00977252\pi\)
\(80\) 5.83520 + 15.9322i 0.652396 + 1.78128i
\(81\) 11.0381 + 1.66373i 1.22646 + 0.184859i
\(82\) 4.02208 + 1.69307i 0.444164 + 0.186968i
\(83\) −1.51482 3.14556i −0.166273 0.345270i 0.801138 0.598479i \(-0.204228\pi\)
−0.967411 + 0.253209i \(0.918514\pi\)
\(84\) −2.70378 + 11.2675i −0.295006 + 1.22939i
\(85\) 0.411873 0.855263i 0.0446739 0.0927663i
\(86\) −8.08449 + 7.14184i −0.871773 + 0.770125i
\(87\) −0.368119 4.91221i −0.0394665 0.526644i
\(88\) −14.7092 3.33394i −1.56801 0.355399i
\(89\) 0.794611 10.6034i 0.0842286 1.12395i −0.781656 0.623710i \(-0.785625\pi\)
0.865885 0.500243i \(-0.166756\pi\)
\(90\) −9.04363 + 5.84744i −0.953282 + 0.616375i
\(91\) 1.51043 7.99816i 0.158336 0.838435i
\(92\) −2.55712 4.97550i −0.266598 0.518732i
\(93\) −0.369171 + 1.19682i −0.0382812 + 0.124105i
\(94\) 0.392034 16.0439i 0.0404352 1.65481i
\(95\) 16.2407 15.0691i 1.66626 1.54606i
\(96\) −8.84595 + 8.67163i −0.902836 + 0.885045i
\(97\) 8.28730 0.841448 0.420724 0.907189i \(-0.361776\pi\)
0.420724 + 0.907189i \(0.361776\pi\)
\(98\) −0.973810 + 9.85148i −0.0983696 + 0.995150i
\(99\) 9.57303i 0.962126i
\(100\) −7.01282 + 25.0216i −0.701282 + 2.50216i
\(101\) 11.9832 + 12.9148i 1.19237 + 1.28507i 0.949051 + 0.315121i \(0.102045\pi\)
0.243317 + 0.969947i \(0.421764\pi\)
\(102\) 0.692836 + 0.0169295i 0.0686010 + 0.00167627i
\(103\) 8.22729 + 2.53778i 0.810659 + 0.250055i 0.672254 0.740321i \(-0.265326\pi\)
0.138405 + 0.990376i \(0.455803\pi\)
\(104\) 5.90890 6.38759i 0.579416 0.626355i
\(105\) −18.6220 + 16.0369i −1.81732 + 1.56504i
\(106\) −0.209465 + 0.135436i −0.0203450 + 0.0131547i
\(107\) −2.16913 0.162554i −0.209698 0.0157147i −0.0305329 0.999534i \(-0.509720\pi\)
−0.179165 + 0.983819i \(0.557339\pi\)
\(108\) 4.43513 + 2.85819i 0.426770 + 0.275029i
\(109\) 1.63739 0.122705i 0.156833 0.0117530i 0.00391801 0.999992i \(-0.498753\pi\)
0.152915 + 0.988239i \(0.451134\pi\)
\(110\) −21.1782 23.9735i −2.01926 2.28578i
\(111\) 5.61158 + 2.70240i 0.532628 + 0.256500i
\(112\) −6.47497 + 8.37107i −0.611827 + 0.790991i
\(113\) −11.4471 + 5.51263i −1.07685 + 0.518585i −0.886309 0.463094i \(-0.846739\pi\)
−0.190543 + 0.981679i \(0.561025\pi\)
\(114\) 14.9079 + 6.27537i 1.39625 + 0.587742i
\(115\) 1.76833 11.7321i 0.164898 1.09402i
\(116\) 1.53450 4.22924i 0.142475 0.392675i
\(117\) 4.78307 + 2.76151i 0.442195 + 0.255301i
\(118\) 11.3320 + 3.80102i 1.04320 + 0.349912i
\(119\) 0.588345 0.0664994i 0.0539335 0.00609599i
\(120\) −25.9731 + 3.95492i −2.37101 + 0.361033i
\(121\) 17.2399 2.59850i 1.56726 0.236227i
\(122\) −0.386196 + 1.51988i −0.0349645 + 0.137604i
\(123\) −3.80645 + 5.58304i −0.343216 + 0.503406i
\(124\) −0.756043 + 0.858440i −0.0678946 + 0.0770902i
\(125\) −26.5074 + 21.1389i −2.37089 + 1.89072i
\(126\) −6.09029 2.83362i −0.542566 0.252439i
\(127\) 2.61957 3.28484i 0.232450 0.291483i −0.651903 0.758303i \(-0.726029\pi\)
0.884352 + 0.466820i \(0.154600\pi\)
\(128\) −10.6177 + 3.90694i −0.938482 + 0.345328i
\(129\) −8.35164 14.4655i −0.735321 1.27361i
\(130\) 18.0873 3.66590i 1.58636 0.321521i
\(131\) 1.27724 1.37653i 0.111593 0.120268i −0.674785 0.738014i \(-0.735764\pi\)
0.786378 + 0.617746i \(0.211954\pi\)
\(132\) 9.58373 21.2969i 0.834157 1.85366i
\(133\) 13.3491 + 3.57187i 1.15752 + 0.309720i
\(134\) 1.85131 18.5955i 0.159929 1.60641i
\(135\) 4.08837 + 10.4170i 0.351871 + 0.896553i
\(136\) 0.570702 + 0.273775i 0.0489373 + 0.0234760i
\(137\) 8.46929 2.61243i 0.723580 0.223195i 0.0889777 0.996034i \(-0.471640\pi\)
0.634603 + 0.772839i \(0.281164\pi\)
\(138\) 8.33719 2.35025i 0.709709 0.200066i
\(139\) 8.82260 2.01370i 0.748323 0.170800i 0.168680 0.985671i \(-0.446049\pi\)
0.579642 + 0.814871i \(0.303192\pi\)
\(140\) −21.5205 + 6.37724i −1.81881 + 0.538975i
\(141\) 24.2272 + 5.52971i 2.04030 + 0.465686i
\(142\) 1.64392 0.0828739i 0.137955 0.00695463i
\(143\) −5.99339 + 15.2709i −0.501192 + 1.27702i
\(144\) −3.90816 6.02438i −0.325680 0.502032i
\(145\) 7.88394 5.37518i 0.654726 0.446384i
\(146\) −10.8400 + 3.95161i −0.897124 + 0.327038i
\(147\) −14.6508 4.50793i −1.20838 0.371808i
\(148\) 3.66090 + 4.35398i 0.300924 + 0.357895i
\(149\) 3.39654 + 4.98181i 0.278255 + 0.408126i 0.939770 0.341806i \(-0.111039\pi\)
−0.661515 + 0.749932i \(0.730086\pi\)
\(150\) −35.8151 18.3386i −2.92429 1.49734i
\(151\) 1.34353 3.42325i 0.109335 0.278580i −0.865726 0.500518i \(-0.833143\pi\)
0.975061 + 0.221938i \(0.0712382\pi\)
\(152\) 10.0644 + 10.8141i 0.816332 + 0.877137i
\(153\) −0.0893997 + 0.391686i −0.00722754 + 0.0316659i
\(154\) 5.62650 19.1423i 0.453396 1.54253i
\(155\) −2.36528 + 0.539860i −0.189984 + 0.0433626i
\(156\) 7.87617 + 10.9319i 0.630599 + 0.875250i
\(157\) −0.796574 2.58243i −0.0635735 0.206100i 0.918213 0.396086i \(-0.129632\pi\)
−0.981787 + 0.189986i \(0.939156\pi\)
\(158\) 5.44830 + 12.0585i 0.433443 + 0.959321i
\(159\) −0.141107 0.359535i −0.0111905 0.0285130i
\(160\) −23.1147 6.44076i −1.82738 0.509187i
\(161\) 6.78185 2.96172i 0.534485 0.233416i
\(162\) −11.0171 + 11.3067i −0.865586 + 0.888335i
\(163\) 2.34540 2.52774i 0.183706 0.197988i −0.634484 0.772936i \(-0.718787\pi\)
0.818190 + 0.574948i \(0.194978\pi\)
\(164\) −5.26283 + 3.22333i −0.410958 + 0.251699i
\(165\) 42.8954 24.7657i 3.33940 1.92800i
\(166\) 4.86287 + 0.854933i 0.377432 + 0.0663557i
\(167\) 6.51007 8.16337i 0.503765 0.631701i −0.463309 0.886197i \(-0.653338\pi\)
0.967074 + 0.254496i \(0.0819095\pi\)
\(168\) −10.7121 12.4010i −0.826458 0.956757i
\(169\) 2.20431 + 2.76412i 0.169562 + 0.212625i
\(170\) 0.642635 + 1.17866i 0.0492879 + 0.0903994i
\(171\) −5.28202 + 7.74730i −0.403926 + 0.592451i
\(172\) −1.53423 15.1781i −0.116984 1.15732i
\(173\) −0.296646 1.96812i −0.0225536 0.149633i 0.974720 0.223432i \(-0.0717259\pi\)
−0.997273 + 0.0737985i \(0.976488\pi\)
\(174\) 5.94619 + 3.62953i 0.450779 + 0.275154i
\(175\) −32.4509 11.3423i −2.45305 0.857396i
\(176\) 15.9641 14.1457i 1.20334 1.06627i
\(177\) −9.25381 + 16.0281i −0.695559 + 1.20474i
\(178\) 11.5242 + 9.66009i 0.863777 + 0.724054i
\(179\) 3.59473 23.8495i 0.268683 1.78260i −0.293881 0.955842i \(-0.594947\pi\)
0.562564 0.826754i \(-0.309815\pi\)
\(180\) 0.743856 15.2120i 0.0554438 1.13384i
\(181\) −5.28659 10.9777i −0.392949 0.815968i −0.999777 0.0211341i \(-0.993272\pi\)
0.606827 0.794834i \(-0.292442\pi\)
\(182\) 7.94119 + 8.33315i 0.588640 + 0.617694i
\(183\) −2.18775 1.05356i −0.161723 0.0778816i
\(184\) 7.82472 + 1.16731i 0.576846 + 0.0860553i
\(185\) 0.901604 + 12.0311i 0.0662872 + 0.884542i
\(186\) −1.07020 1.41139i −0.0784710 0.103488i
\(187\) −1.19000 0.0891782i −0.0870214 0.00652136i
\(188\) 18.1058 + 13.6859i 1.32050 + 0.998149i
\(189\) −4.14285 + 5.61748i −0.301348 + 0.408612i
\(190\) 3.91154 + 31.0866i 0.283773 + 2.25526i
\(191\) −15.3923 4.74791i −1.11375 0.343546i −0.317345 0.948310i \(-0.602791\pi\)
−0.796405 + 0.604764i \(0.793268\pi\)
\(192\) −2.66327 17.3148i −0.192205 1.24959i
\(193\) −6.07004 + 5.63217i −0.436931 + 0.405412i −0.867730 0.497035i \(-0.834422\pi\)
0.430800 + 0.902448i \(0.358232\pi\)
\(194\) −6.83670 + 9.51937i −0.490846 + 0.683451i
\(195\) 28.5763i 2.04639i
\(196\) −10.5127 9.24567i −0.750910 0.660405i
\(197\) 12.7093i 0.905500i −0.891637 0.452750i \(-0.850443\pi\)
0.891637 0.452750i \(-0.149557\pi\)
\(198\) 10.9962 + 7.89737i 0.781469 + 0.561242i
\(199\) 11.4815 10.6533i 0.813901 0.755190i −0.158785 0.987313i \(-0.550758\pi\)
0.972686 + 0.232123i \(0.0745672\pi\)
\(200\) −22.9562 28.6972i −1.62325 2.02920i
\(201\) 27.6506 + 8.52907i 1.95032 + 0.601594i
\(202\) −24.7204 + 3.11051i −1.73932 + 0.218854i
\(203\) 5.45588 + 2.37810i 0.382928 + 0.166910i
\(204\) −0.591009 + 0.781873i −0.0413789 + 0.0547421i
\(205\) −13.0525 0.978150i −0.911626 0.0683170i
\(206\) −9.70226 + 7.35686i −0.675988 + 0.512577i
\(207\) 0.375254 + 5.00741i 0.0260819 + 0.348039i
\(208\) 2.46262 + 12.0569i 0.170752 + 0.835994i
\(209\) −25.0930 12.0841i −1.73572 0.835878i
\(210\) −3.05867 34.6204i −0.211068 2.38903i
\(211\) −4.17863 8.67702i −0.287669 0.597351i 0.706188 0.708025i \(-0.250413\pi\)
−0.993857 + 0.110674i \(0.964699\pi\)
\(212\) 0.0172289 0.352336i 0.00118329 0.0241985i
\(213\) −0.379868 + 2.52026i −0.0260281 + 0.172685i
\(214\) 1.97617 2.35751i 0.135088 0.161156i
\(215\) 16.1777 28.0206i 1.10331 1.91099i
\(216\) −6.94192 + 2.73660i −0.472338 + 0.186202i
\(217\) −1.07040 1.06965i −0.0726635 0.0726126i
\(218\) −1.20983 + 1.98204i −0.0819402 + 0.134241i
\(219\) −2.66270 17.6659i −0.179929 1.19375i
\(220\) 45.0087 4.54955i 3.03449 0.306731i
\(221\) 0.387833 0.568847i 0.0260885 0.0382648i
\(222\) −7.73349 + 4.21648i −0.519038 + 0.282992i
\(223\) −0.0356433 0.0446953i −0.00238685 0.00299302i 0.780637 0.624985i \(-0.214895\pi\)
−0.783023 + 0.621992i \(0.786324\pi\)
\(224\) −4.27399 14.3434i −0.285568 0.958359i
\(225\) 14.5432 18.2366i 0.969548 1.21577i
\(226\) 3.11121 17.6966i 0.206955 1.17716i
\(227\) 3.40537 1.96609i 0.226022 0.130494i −0.382713 0.923867i \(-0.625010\pi\)
0.608736 + 0.793373i \(0.291677\pi\)
\(228\) −19.5067 + 11.9473i −1.29186 + 0.791229i
\(229\) 5.79349 6.24390i 0.382845 0.412608i −0.512000 0.858985i \(-0.671095\pi\)
0.894845 + 0.446377i \(0.147286\pi\)
\(230\) 12.0175 + 11.7098i 0.792411 + 0.772118i
\(231\) 27.3192 + 14.4264i 1.79747 + 0.949185i
\(232\) 3.59209 + 5.25158i 0.235832 + 0.344783i
\(233\) −7.33306 18.6843i −0.480405 1.22405i −0.941594 0.336750i \(-0.890672\pi\)
0.461189 0.887302i \(-0.347423\pi\)
\(234\) −7.11790 + 3.21603i −0.465311 + 0.210238i
\(235\) 14.1885 + 45.9981i 0.925558 + 3.00059i
\(236\) −13.7146 + 9.88107i −0.892744 + 0.643203i
\(237\) −19.9754 + 4.55925i −1.29754 + 0.296155i
\(238\) −0.408975 + 0.730673i −0.0265099 + 0.0473625i
\(239\) −3.58273 + 15.6970i −0.231747 + 1.01535i 0.716442 + 0.697647i \(0.245769\pi\)
−0.948190 + 0.317705i \(0.897088\pi\)
\(240\) 16.8839 33.0971i 1.08985 2.13641i
\(241\) 1.95698 4.98630i 0.126060 0.321196i −0.853886 0.520461i \(-0.825760\pi\)
0.979946 + 0.199265i \(0.0638555\pi\)
\(242\) −11.2374 + 21.9466i −0.722369 + 1.41078i
\(243\) −9.31165 13.6577i −0.597342 0.876141i
\(244\) −1.42725 1.69745i −0.0913701 0.108668i
\(245\) −6.62752 28.9435i −0.423417 1.84913i
\(246\) −3.27289 8.97814i −0.208672 0.572425i
\(247\) 13.2762 9.05158i 0.844746 0.575938i
\(248\) −0.362358 1.57662i −0.0230098 0.100116i
\(249\) −2.79314 + 7.11679i −0.177008 + 0.451009i
\(250\) −2.41410 47.8870i −0.152681 3.02864i
\(251\) 2.99498 + 0.683586i 0.189042 + 0.0431475i 0.315994 0.948761i \(-0.397662\pi\)
−0.126952 + 0.991909i \(0.540519\pi\)
\(252\) 8.27914 4.65810i 0.521537 0.293433i
\(253\) −14.5412 + 3.31893i −0.914197 + 0.208659i
\(254\) 1.61215 + 5.71889i 0.101155 + 0.358835i
\(255\) −1.98637 + 0.612713i −0.124391 + 0.0383696i
\(256\) 4.27142 15.4193i 0.266964 0.963707i
\(257\) 7.48033 + 19.0596i 0.466610 + 1.18890i 0.949652 + 0.313306i \(0.101437\pi\)
−0.483042 + 0.875597i \(0.660468\pi\)
\(258\) 23.5058 + 2.34017i 1.46341 + 0.145692i
\(259\) −6.05320 + 4.47075i −0.376128 + 0.277799i
\(260\) −10.7104 + 23.8005i −0.664231 + 1.47605i
\(261\) −2.74683 + 2.96038i −0.170025 + 0.183243i
\(262\) 0.527512 + 2.60271i 0.0325898 + 0.160796i
\(263\) 3.10576 + 5.37934i 0.191510 + 0.331704i 0.945751 0.324893i \(-0.105328\pi\)
−0.754241 + 0.656598i \(0.771995\pi\)
\(264\) 16.5569 + 28.5776i 1.01900 + 1.75883i
\(265\) 0.466471 0.584936i 0.0286551 0.0359324i
\(266\) −15.1154 + 12.3871i −0.926784 + 0.759500i
\(267\) −18.2045 + 14.5176i −1.11410 + 0.888462i
\(268\) 19.8328 + 17.4671i 1.21148 + 1.06697i
\(269\) −1.39484 + 2.04585i −0.0850446 + 0.124738i −0.866404 0.499344i \(-0.833574\pi\)
0.781359 + 0.624082i \(0.214527\pi\)
\(270\) −15.3384 3.89743i −0.933467 0.237190i
\(271\) −14.2636 + 2.14989i −0.866451 + 0.130596i −0.567202 0.823579i \(-0.691974\pi\)
−0.299249 + 0.954175i \(0.596736\pi\)
\(272\) −0.785283 + 0.429694i −0.0476148 + 0.0260540i
\(273\) −15.0887 + 9.48822i −0.913208 + 0.574253i
\(274\) −3.98601 + 11.8836i −0.240804 + 0.717912i
\(275\) 60.0012 + 34.6417i 3.61821 + 2.08897i
\(276\) −4.17819 + 11.5155i −0.251498 + 0.693154i
\(277\) −4.14017 + 27.4682i −0.248759 + 1.65041i 0.420438 + 0.907321i \(0.361876\pi\)
−0.669197 + 0.743085i \(0.733362\pi\)
\(278\) −4.96522 + 11.7955i −0.297794 + 0.707445i
\(279\) 0.925115 0.445512i 0.0553852 0.0266721i
\(280\) 10.4282 29.9809i 0.623205 1.79170i
\(281\) −3.27702 1.57813i −0.195491 0.0941433i 0.333578 0.942723i \(-0.391744\pi\)
−0.529068 + 0.848579i \(0.677458\pi\)
\(282\) −26.3383 + 23.2673i −1.56842 + 1.38555i
\(283\) 12.7239 0.953522i 0.756356 0.0566810i 0.309030 0.951052i \(-0.399996\pi\)
0.447325 + 0.894371i \(0.352377\pi\)
\(284\) −1.26098 + 1.95669i −0.0748251 + 0.116108i
\(285\) −48.3792 3.62552i −2.86574 0.214757i
\(286\) −12.5969 19.4823i −0.744871 1.15201i
\(287\) −3.81736 7.21667i −0.225332 0.425987i
\(288\) 10.1441 + 0.480691i 0.597747 + 0.0283250i
\(289\) −16.1969 4.99608i −0.952758 0.293887i
\(290\) −0.329637 + 13.4903i −0.0193569 + 0.792180i
\(291\) −12.3435 13.3031i −0.723589 0.779843i
\(292\) 4.40347 15.7115i 0.257694 0.919445i
\(293\) 18.5947i 1.08631i 0.839631 + 0.543157i \(0.182771\pi\)
−0.839631 + 0.543157i \(0.817229\pi\)
\(294\) 17.2644 13.1101i 1.00688 0.764594i
\(295\) −35.8505 −2.08730
\(296\) −8.02138 + 0.613296i −0.466233 + 0.0356471i
\(297\) 10.3124 9.56851i 0.598387 0.555222i
\(298\) −8.52446 0.208295i −0.493809 0.0120662i
\(299\) 2.53639 8.22276i 0.146683 0.475534i
\(300\) 50.6109 26.0111i 2.92202 1.50175i
\(301\) 20.1667 0.761664i 1.16239 0.0439016i
\(302\) 2.82383 + 4.36731i 0.162493 + 0.251311i
\(303\) 2.88306 38.4717i 0.165627 2.21014i
\(304\) −20.7245 + 2.63950i −1.18863 + 0.151386i
\(305\) −0.351502 4.69046i −0.0201269 0.268575i
\(306\) −0.376166 0.425816i −0.0215040 0.0243423i
\(307\) −3.29713 + 6.84656i −0.188177 + 0.390754i −0.973618 0.228182i \(-0.926722\pi\)
0.785441 + 0.618936i \(0.212436\pi\)
\(308\) 17.3465 + 22.2546i 0.988409 + 1.26807i
\(309\) −8.18035 16.9867i −0.465364 0.966338i
\(310\) 1.33114 3.16229i 0.0756039 0.179606i
\(311\) −21.3964 3.22499i −1.21328 0.182872i −0.488940 0.872317i \(-0.662616\pi\)
−0.724338 + 0.689445i \(0.757855\pi\)
\(312\) −19.0546 + 0.0287614i −1.07876 + 0.00162829i
\(313\) −9.20174 + 15.9379i −0.520113 + 0.900863i 0.479613 + 0.877480i \(0.340777\pi\)
−0.999727 + 0.0233828i \(0.992556\pi\)
\(314\) 3.62350 + 1.21540i 0.204486 + 0.0685891i
\(315\) 20.0218 + 2.24881i 1.12810 + 0.126706i
\(316\) −18.3458 3.68948i −1.03203 0.207549i
\(317\) −4.14265 27.4847i −0.232675 1.54370i −0.734429 0.678685i \(-0.762550\pi\)
0.501754 0.865010i \(-0.332688\pi\)
\(318\) 0.529395 + 0.134517i 0.0296870 + 0.00754333i
\(319\) −9.91098 6.75719i −0.554908 0.378330i
\(320\) 26.4670 21.2378i 1.47955 1.18723i
\(321\) 2.96986 + 3.72409i 0.165762 + 0.207859i
\(322\) −2.19272 + 10.2334i −0.122196 + 0.570285i
\(323\) 0.913843 + 0.728765i 0.0508476 + 0.0405496i
\(324\) −3.89893 21.9826i −0.216607 1.22125i
\(325\) −34.6168 + 19.9860i −1.92019 + 1.10862i
\(326\) 0.968675 + 4.77938i 0.0536500 + 0.264705i
\(327\) −2.63577 2.44564i −0.145759 0.135244i
\(328\) 0.639091 8.70436i 0.0352879 0.480618i
\(329\) −19.5766 + 22.7645i −1.07929 + 1.25505i
\(330\) −6.93945 + 69.7033i −0.382004 + 3.83704i
\(331\) −0.311745 + 0.122351i −0.0171350 + 0.00672501i −0.373893 0.927472i \(-0.621977\pi\)
0.356758 + 0.934197i \(0.383882\pi\)
\(332\) −4.99371 + 4.88054i −0.274066 + 0.267855i
\(333\) −1.50507 4.87932i −0.0824774 0.267385i
\(334\) 4.00646 + 14.2124i 0.219224 + 0.777667i
\(335\) 12.4726 + 54.6459i 0.681449 + 2.98562i
\(336\) 23.0817 2.07436i 1.25921 0.113166i
\(337\) −2.43821 + 10.6825i −0.132818 + 0.581914i 0.864090 + 0.503337i \(0.167895\pi\)
−0.996908 + 0.0785765i \(0.974963\pi\)
\(338\) −4.99353 + 0.251735i −0.271612 + 0.0136926i
\(339\) 25.8989 + 10.1646i 1.40664 + 0.552065i
\(340\) −1.88404 0.234176i −0.102177 0.0127000i
\(341\) 1.71806 + 2.51994i 0.0930383 + 0.136462i
\(342\) −4.54162 12.4585i −0.245583 0.673679i
\(343\) 13.0820 13.1096i 0.706363 0.707850i
\(344\) 18.7003 + 10.7590i 1.00825 + 0.580089i
\(345\) −21.4667 + 14.6358i −1.15573 + 0.787962i
\(346\) 2.50543 + 1.28287i 0.134693 + 0.0689675i
\(347\) 19.8577 + 7.79357i 1.06602 + 0.418381i 0.832530 0.553979i \(-0.186891\pi\)
0.233486 + 0.972360i \(0.424987\pi\)
\(348\) −9.07450 + 3.83598i −0.486444 + 0.205630i
\(349\) 17.4528 + 3.98349i 0.934228 + 0.213231i 0.662431 0.749123i \(-0.269525\pi\)
0.271797 + 0.962355i \(0.412382\pi\)
\(350\) 39.7992 27.9184i 2.12736 1.49230i
\(351\) 1.80602 + 7.91269i 0.0963982 + 0.422348i
\(352\) 3.07893 + 30.0071i 0.164108 + 1.59939i
\(353\) 24.7205 7.62528i 1.31574 0.405853i 0.444092 0.895981i \(-0.353526\pi\)
0.871650 + 0.490129i \(0.163050\pi\)
\(354\) −10.7769 23.8521i −0.572787 1.26772i
\(355\) −4.59577 + 1.80371i −0.243918 + 0.0957309i
\(356\) −20.6033 + 5.26832i −1.09197 + 0.279220i
\(357\) −0.983056 0.845388i −0.0520288 0.0447427i
\(358\) 24.4297 + 23.8041i 1.29115 + 1.25808i
\(359\) 18.7605 + 17.4072i 0.990141 + 0.918716i 0.996693 0.0812621i \(-0.0258951\pi\)
−0.00655193 + 0.999979i \(0.502086\pi\)
\(360\) 16.8599 + 13.4038i 0.888597 + 0.706441i
\(361\) 4.13979 + 7.17033i 0.217884 + 0.377386i
\(362\) 16.9710 + 2.98364i 0.891976 + 0.156817i
\(363\) −29.8491 23.8039i −1.56667 1.24938i
\(364\) −16.1232 + 2.24728i −0.845085 + 0.117790i
\(365\) 27.0565 21.5768i 1.41620 1.12938i
\(366\) 3.01500 1.64385i 0.157597 0.0859253i
\(367\) −18.8898 12.8788i −0.986038 0.672270i −0.0409763 0.999160i \(-0.513047\pi\)
−0.945062 + 0.326890i \(0.893999\pi\)
\(368\) −7.79594 + 8.02503i −0.406391 + 0.418334i
\(369\) 5.47781 0.825647i 0.285164 0.0429815i
\(370\) −14.5635 8.88951i −0.757120 0.462144i
\(371\) 0.463737 + 0.0520860i 0.0240760 + 0.00270417i
\(372\) 2.50409 0.0649695i 0.129831 0.00336851i
\(373\) −5.16668 2.98298i −0.267521 0.154453i 0.360240 0.932860i \(-0.382695\pi\)
−0.627760 + 0.778407i \(0.716028\pi\)
\(374\) 1.08414 1.29335i 0.0560595 0.0668774i
\(375\) 73.4145 + 11.0654i 3.79111 + 0.571417i
\(376\) −30.6572 + 9.50718i −1.58102 + 0.490295i
\(377\) 6.23516 3.00269i 0.321127 0.154647i
\(378\) −3.03494 9.39296i −0.156100 0.483122i
\(379\) 9.01901 18.7282i 0.463275 0.962001i −0.530191 0.847878i \(-0.677880\pi\)
0.993467 0.114123i \(-0.0364058\pi\)
\(380\) −38.9351 21.1521i −1.99733 1.08508i
\(381\) −9.17468 + 0.687547i −0.470033 + 0.0352241i
\(382\) 18.1518 13.7639i 0.928729 0.704220i
\(383\) 1.43648 19.1685i 0.0734005 0.979462i −0.831965 0.554828i \(-0.812784\pi\)
0.905365 0.424634i \(-0.139597\pi\)
\(384\) 22.0861 + 11.2248i 1.12708 + 0.572815i
\(385\) 2.25861 + 59.8017i 0.115110 + 3.04778i
\(386\) −1.46196 11.6188i −0.0744118 0.591380i
\(387\) −4.03630 + 13.0854i −0.205177 + 0.665166i
\(388\) −5.29460 15.7062i −0.268793 0.797362i
\(389\) 21.2153 + 22.8646i 1.07566 + 1.15928i 0.986583 + 0.163258i \(0.0522004\pi\)
0.0890742 + 0.996025i \(0.471609\pi\)
\(390\) −32.8247 23.5743i −1.66214 1.19373i
\(391\) 0.625955 0.0316559
\(392\) 19.2928 4.44835i 0.974434 0.224675i
\(393\) −4.11204 −0.207425
\(394\) 14.5988 + 10.4847i 0.735476 + 0.528210i
\(395\) −26.9952 29.0939i −1.35828 1.46387i
\(396\) −18.1429 + 6.11603i −0.911717 + 0.307342i
\(397\) −8.82692 + 28.6162i −0.443011 + 1.43621i 0.408929 + 0.912566i \(0.365902\pi\)
−0.851940 + 0.523639i \(0.824574\pi\)
\(398\) 2.76530 + 21.9770i 0.138612 + 1.10161i
\(399\) −14.1491 26.7487i −0.708340 1.33911i
\(400\) 51.9016 2.69503i 2.59508 0.134751i
\(401\) −0.246569 + 3.29024i −0.0123131 + 0.164307i 0.987657 + 0.156629i \(0.0500628\pi\)
−0.999971 + 0.00767734i \(0.997556\pi\)
\(402\) −32.6077 + 24.7252i −1.62632 + 1.23318i
\(403\) −1.75466 + 0.131494i −0.0874061 + 0.00655018i
\(404\) 16.8204 30.9616i 0.836848 1.54040i
\(405\) 20.5446 42.6613i 1.02087 2.11986i
\(406\) −7.23253 + 4.30516i −0.358945 + 0.213662i
\(407\) 13.6648 6.58062i 0.677339 0.326189i
\(408\) −0.410555 1.32389i −0.0203255 0.0655422i
\(409\) 21.1766 + 3.19186i 1.04712 + 0.157827i 0.649994 0.759939i \(-0.274771\pi\)
0.397121 + 0.917766i \(0.370009\pi\)
\(410\) 11.8914 14.1861i 0.587273 0.700600i
\(411\) −16.8081 9.70418i −0.829084 0.478672i
\(412\) −0.446618 17.2138i −0.0220033 0.848063i
\(413\) −11.9035 18.9295i −0.585732 0.931462i
\(414\) −6.06143 3.69987i −0.297903 0.181839i
\(415\) −14.6440 + 2.20723i −0.718847 + 0.108349i
\(416\) −15.8809 7.11772i −0.778627 0.348975i
\(417\) −16.3733 11.1631i −0.801802 0.546659i
\(418\) 34.5814 18.8546i 1.69143 0.922209i
\(419\) −1.15528 + 0.921309i −0.0564393 + 0.0450089i −0.651303 0.758818i \(-0.725777\pi\)
0.594864 + 0.803826i \(0.297206\pi\)
\(420\) 42.2906 + 25.0470i 2.06357 + 1.22217i
\(421\) −4.24042 3.38163i −0.206666 0.164810i 0.514687 0.857378i \(-0.327908\pi\)
−0.721353 + 0.692568i \(0.756479\pi\)
\(422\) 13.4142 + 2.35833i 0.652995 + 0.114802i
\(423\) −10.1864 17.6434i −0.495281 0.857851i
\(424\) 0.390504 + 0.310453i 0.0189645 + 0.0150769i
\(425\) −2.13147 1.97772i −0.103392 0.0959334i
\(426\) −2.58157 2.51546i −0.125077 0.121874i
\(427\) 2.35992 1.74298i 0.114204 0.0843485i
\(428\) 1.07774 + 4.21481i 0.0520946 + 0.203731i
\(429\) 33.4403 13.1244i 1.61451 0.633650i
\(430\) 18.8404 + 41.6987i 0.908566 + 2.01089i
\(431\) 24.0894 7.43060i 1.16035 0.357920i 0.345964 0.938248i \(-0.387552\pi\)
0.814383 + 0.580328i \(0.197076\pi\)
\(432\) 2.58336 10.2316i 0.124292 0.492266i
\(433\) 1.92796 + 8.44695i 0.0926519 + 0.405934i 0.999892 0.0146781i \(-0.00467235\pi\)
−0.907240 + 0.420612i \(0.861815\pi\)
\(434\) 2.11171 0.347117i 0.101365 0.0166621i
\(435\) −20.3712 4.64959i −0.976723 0.222931i
\(436\) −1.27865 3.02481i −0.0612362 0.144862i
\(437\) 13.5992 + 5.33729i 0.650538 + 0.255317i
\(438\) 22.4889 + 11.5151i 1.07456 + 0.550213i
\(439\) −3.82294 + 2.60644i −0.182459 + 0.124398i −0.651105 0.758988i \(-0.725694\pi\)
0.468646 + 0.883386i \(0.344742\pi\)
\(440\) −31.9045 + 55.4533i −1.52099 + 2.64363i
\(441\) 5.46045 + 11.3184i 0.260022 + 0.538974i
\(442\) 0.333470 + 0.914768i 0.0158615 + 0.0435111i
\(443\) −2.27688 3.33956i −0.108178 0.158667i 0.768332 0.640051i \(-0.221087\pi\)
−0.876510 + 0.481384i \(0.840134\pi\)
\(444\) 1.53648 12.3617i 0.0729183 0.586658i
\(445\) −41.9856 16.4781i −1.99031 0.781138i
\(446\) 0.0807445 0.00407052i 0.00382336 0.000192745i
\(447\) 2.93804 12.8724i 0.138965 0.608844i
\(448\) 20.0017 + 6.92334i 0.944991 + 0.327097i
\(449\) −1.13083 4.95447i −0.0533669 0.233816i 0.941210 0.337823i \(-0.109691\pi\)
−0.994577 + 0.104007i \(0.966833\pi\)
\(450\) 8.95026 + 31.7498i 0.421919 + 1.49670i
\(451\) 4.85003 + 15.7234i 0.228379 + 0.740387i
\(452\) 17.7609 + 18.1728i 0.835404 + 0.854775i
\(453\) −7.49626 + 2.94206i −0.352205 + 0.138230i
\(454\) −0.550908 + 5.53359i −0.0258554 + 0.259704i
\(455\) −30.5309 16.1223i −1.43131 0.755827i
\(456\) 2.36880 32.2628i 0.110929 1.51084i
\(457\) −11.1203 10.3182i −0.520188 0.482664i 0.375826 0.926690i \(-0.377359\pi\)
−0.896014 + 0.444027i \(0.853550\pi\)
\(458\) 2.39277 + 11.8058i 0.111807 + 0.551647i
\(459\) −0.511295 + 0.295196i −0.0238652 + 0.0137786i
\(460\) −23.3646 + 4.14405i −1.08938 + 0.193218i
\(461\) 32.2613 + 25.7275i 1.50256 + 1.19825i 0.923873 + 0.382699i \(0.125005\pi\)
0.578685 + 0.815551i \(0.303566\pi\)
\(462\) −39.1084 + 19.4795i −1.81949 + 0.906270i
\(463\) 13.3679 + 16.7629i 0.621261 + 0.779037i 0.988521 0.151081i \(-0.0482756\pi\)
−0.367260 + 0.930118i \(0.619704\pi\)
\(464\) −8.99566 0.206223i −0.417613 0.00957367i
\(465\) 4.38957 + 2.99276i 0.203561 + 0.138786i
\(466\) 27.5116 + 6.99058i 1.27445 + 0.323832i
\(467\) 3.91908 + 26.0014i 0.181353 + 1.20320i 0.875446 + 0.483315i \(0.160568\pi\)
−0.694093 + 0.719885i \(0.744194\pi\)
\(468\) 2.17783 10.8292i 0.100670 0.500580i
\(469\) −24.7125 + 24.7298i −1.14112 + 1.14192i
\(470\) −64.5416 21.6487i −2.97708 0.998579i
\(471\) −2.95897 + 5.12508i −0.136342 + 0.236151i
\(472\) −0.0360827 23.9050i −0.00166084 1.10032i
\(473\) −40.2200 6.06219i −1.84932 0.278740i
\(474\) 11.2418 26.7063i 0.516354 1.22666i
\(475\) −29.4441 61.1412i −1.35099 2.80535i
\(476\) −0.501913 1.07255i −0.0230051 0.0491604i
\(477\) −0.137387 + 0.285286i −0.00629050 + 0.0130624i
\(478\) −15.0750 17.0647i −0.689514 0.780523i
\(479\) −0.603884 8.05828i −0.0275922 0.368192i −0.993859 0.110650i \(-0.964707\pi\)
0.966267 0.257542i \(-0.0829124\pi\)
\(480\) 24.0891 + 46.6978i 1.09951 + 2.13145i
\(481\) −0.653906 + 8.72577i −0.0298156 + 0.397861i
\(482\) 4.11318 + 6.36142i 0.187350 + 0.289755i
\(483\) −14.8555 6.47518i −0.675948 0.294631i
\(484\) −15.9389 31.0131i −0.724497 1.40969i
\(485\) 10.3616 33.5914i 0.470494 1.52530i
\(486\) 23.3699 + 0.571043i 1.06008 + 0.0259030i
\(487\) −20.7316 + 19.2361i −0.939438 + 0.871671i −0.991909 0.126951i \(-0.959481\pi\)
0.0524709 + 0.998622i \(0.483290\pi\)
\(488\) 3.12724 0.239101i 0.141563 0.0108236i
\(489\) −7.55099 −0.341468
\(490\) 38.7140 + 16.2644i 1.74892 + 0.734752i
\(491\) 23.0675i 1.04102i 0.853854 + 0.520512i \(0.174259\pi\)
−0.853854 + 0.520512i \(0.825741\pi\)
\(492\) 13.0129 + 3.64714i 0.586668 + 0.164426i
\(493\) 0.342410 + 0.369030i 0.0154214 + 0.0166203i
\(494\) −0.555094 + 22.7172i −0.0249749 + 1.02209i
\(495\) −38.8029 11.9691i −1.74406 0.537971i
\(496\) 2.10995 + 0.884421i 0.0947394 + 0.0397117i
\(497\) −2.47832 1.82774i −0.111168 0.0819855i
\(498\) −5.87061 9.07946i −0.263069 0.406860i
\(499\) −32.1618 2.41019i −1.43976 0.107895i −0.668166 0.744013i \(-0.732920\pi\)
−0.771592 + 0.636118i \(0.780539\pi\)
\(500\) 56.9979 + 36.7319i 2.54902 + 1.64270i
\(501\) −22.8006 + 1.70867i −1.01866 + 0.0763377i
\(502\) −3.25596 + 2.87631i −0.145320 + 0.128376i
\(503\) 4.47760 + 2.15630i 0.199646 + 0.0961446i 0.531036 0.847350i \(-0.321803\pi\)
−0.331389 + 0.943494i \(0.607517\pi\)
\(504\) −1.47935 + 13.3527i −0.0658954 + 0.594779i
\(505\) 67.3306 32.4247i 2.99617 1.44288i
\(506\) 8.18355 19.4410i 0.363803 0.864258i
\(507\) 1.15388 7.65547i 0.0512454 0.339991i
\(508\) −7.89907 2.86603i −0.350464 0.127159i
\(509\) 6.05578 + 3.49630i 0.268418 + 0.154971i 0.628168 0.778078i \(-0.283805\pi\)
−0.359751 + 0.933048i \(0.617138\pi\)
\(510\) 0.934869 2.78714i 0.0413967 0.123417i
\(511\) 20.3764 + 7.12201i 0.901401 + 0.315059i
\(512\) 14.1879 + 17.6268i 0.627024 + 0.779000i
\(513\) −13.6252 + 2.05367i −0.601567 + 0.0906716i
\(514\) −28.0641 7.13097i −1.23785 0.314533i
\(515\) 20.5730 30.1751i 0.906556 1.32967i
\(516\) −22.0794 + 25.0698i −0.971993 + 1.10364i
\(517\) 47.3111 37.7293i 2.08074 1.65933i
\(518\) −0.141754 10.6413i −0.00622829 0.467553i
\(519\) −2.71746 + 3.40759i −0.119283 + 0.149577i
\(520\) −18.5033 31.9372i −0.811423 1.40054i
\(521\) −12.6756 21.9548i −0.555329 0.961858i −0.997878 0.0651139i \(-0.979259\pi\)
0.442549 0.896745i \(-0.354074\pi\)
\(522\) −1.13447 5.59740i −0.0496544 0.244992i
\(523\) 26.5299 28.5924i 1.16007 1.25026i 0.197180 0.980367i \(-0.436822\pi\)
0.962891 0.269892i \(-0.0869879\pi\)
\(524\) −3.42482 1.54119i −0.149614 0.0673274i
\(525\) 30.1267 + 68.9852i 1.31484 + 3.01076i
\(526\) −8.74122 0.870249i −0.381135 0.0379446i
\(527\) −0.0467625 0.119149i −0.00203701 0.00519021i
\(528\) −46.4850 4.55705i −2.02300 0.198320i
\(529\) −14.5021 + 4.47332i −0.630528 + 0.194492i
\(530\) 0.287078 + 1.01837i 0.0124699 + 0.0442352i
\(531\) 14.7925 3.37630i 0.641942 0.146519i
\(532\) −1.75904 27.5814i −0.0762640 1.19581i
\(533\) −9.25512 2.11242i −0.400884 0.0914991i
\(534\) −1.65793 32.8873i −0.0717455 1.42317i
\(535\) −3.37093 + 8.58900i −0.145738 + 0.371335i
\(536\) −36.4252 + 8.37167i −1.57333 + 0.361601i
\(537\) −43.6384 + 29.7522i −1.88314 + 1.28390i
\(538\) −1.19932 3.28995i −0.0517063 0.141840i
\(539\) −30.8262 + 21.0486i −1.32778 + 0.906627i
\(540\) 17.1305 14.4036i 0.737177 0.619830i
\(541\) 7.99284 + 11.7233i 0.343639 + 0.504026i 0.958687 0.284464i \(-0.0918156\pi\)
−0.615048 + 0.788490i \(0.710863\pi\)
\(542\) 9.29738 18.1577i 0.399356 0.779940i
\(543\) −9.74780 + 24.8370i −0.418318 + 1.06586i
\(544\) 0.154252 1.25651i 0.00661348 0.0538725i
\(545\) 1.54985 6.79033i 0.0663882 0.290866i
\(546\) 1.54873 25.1593i 0.0662797 1.07672i
\(547\) −36.0960 + 8.23869i −1.54336 + 0.352261i −0.907669 0.419687i \(-0.862140\pi\)
−0.635686 + 0.771947i \(0.719283\pi\)
\(548\) −10.3620 14.3821i −0.442642 0.614372i
\(549\) 0.586771 + 1.90226i 0.0250428 + 0.0811867i
\(550\) −89.2905 + 40.3435i −3.80736 + 1.72025i
\(551\) 4.29244 + 10.9370i 0.182864 + 0.465931i
\(552\) −9.78069 14.2992i −0.416294 0.608615i
\(553\) 6.39873 23.9139i 0.272102 1.01692i
\(554\) −28.1364 27.4159i −1.19540 1.16479i
\(555\) 17.9699 19.3669i 0.762779 0.822080i
\(556\) −9.45298 15.4342i −0.400895 0.654555i
\(557\) −17.4819 + 10.0932i −0.740732 + 0.427662i −0.822335 0.569003i \(-0.807329\pi\)
0.0816033 + 0.996665i \(0.473996\pi\)
\(558\) −0.251437 + 1.43018i −0.0106442 + 0.0605444i
\(559\) 14.6311 18.3468i 0.618828 0.775985i
\(560\) 25.8352 + 36.7116i 1.09174 + 1.55135i
\(561\) 1.62929 + 2.04306i 0.0687887 + 0.0862583i
\(562\) 4.51616 2.46232i 0.190503 0.103867i
\(563\) −22.9749 + 33.6979i −0.968275 + 1.42020i −0.0617288 + 0.998093i \(0.519661\pi\)
−0.906546 + 0.422106i \(0.861291\pi\)
\(564\) −4.99834 49.4486i −0.210468 2.08216i
\(565\) 8.03240 + 53.2915i 0.337926 + 2.24199i
\(566\) −9.40141 + 15.4021i −0.395171 + 0.647400i
\(567\) 29.3472 3.31705i 1.23247 0.139303i
\(568\) −1.20733 3.06264i −0.0506586 0.128505i
\(569\) −13.9899 + 24.2312i −0.586487 + 1.01583i 0.408201 + 0.912892i \(0.366156\pi\)
−0.994688 + 0.102934i \(0.967177\pi\)
\(570\) 44.0755 52.5808i 1.84612 2.20237i
\(571\) 3.95580 26.2450i 0.165545 1.09832i −0.739547 0.673105i \(-0.764960\pi\)
0.905092 0.425215i \(-0.139802\pi\)
\(572\) 32.7707 + 1.60246i 1.37021 + 0.0670022i
\(573\) 15.3045 + 31.7802i 0.639356 + 1.32764i
\(574\) 11.4387 + 1.56859i 0.477444 + 0.0654715i
\(575\) −32.7430 15.7682i −1.36548 0.657580i
\(576\) −8.92064 + 11.2557i −0.371693 + 0.468986i
\(577\) −2.82710 37.7250i −0.117694 1.57051i −0.673490 0.739196i \(-0.735206\pi\)
0.555797 0.831318i \(-0.312413\pi\)
\(578\) 19.1006 14.4833i 0.794481 0.602425i
\(579\) 18.0820 + 1.35506i 0.751462 + 0.0563143i
\(580\) −15.2240 11.5076i −0.632142 0.477829i
\(581\) −6.02772 6.99937i −0.250072 0.290383i
\(582\) 25.4638 3.20404i 1.05551 0.132812i
\(583\) −0.898737 0.277224i −0.0372219 0.0114814i
\(584\) 14.4146 + 18.0195i 0.596481 + 0.745652i
\(585\) 17.1736 15.9348i 0.710040 0.658821i
\(586\) −21.3592 15.3399i −0.882338 0.633685i
\(587\) 3.75673i 0.155057i 0.996990 + 0.0775284i \(0.0247028\pi\)
−0.996990 + 0.0775284i \(0.975297\pi\)
\(588\) 0.816630 + 30.6464i 0.0336773 + 1.26384i
\(589\) 2.98730i 0.123090i
\(590\) 29.5752 41.1803i 1.21759 1.69537i
\(591\) −20.4015 + 18.9298i −0.839206 + 0.778669i
\(592\) 5.91285 9.71986i 0.243017 0.399484i
\(593\) −36.9315 11.3918i −1.51659 0.467807i −0.578937 0.815372i \(-0.696532\pi\)
−0.937656 + 0.347565i \(0.887009\pi\)
\(594\) 2.48373 + 19.7392i 0.101909 + 0.809909i
\(595\) 0.466058 2.46791i 0.0191065 0.101174i
\(596\) 7.27160 9.61995i 0.297857 0.394048i
\(597\) −34.2021 2.56310i −1.39980 0.104901i
\(598\) 7.35281 + 9.69692i 0.300679 + 0.396536i
\(599\) 0.329715 + 4.39974i 0.0134718 + 0.179769i 0.999881 + 0.0154584i \(0.00492075\pi\)
−0.986409 + 0.164310i \(0.947460\pi\)
\(600\) −11.8739 + 79.5933i −0.484751 + 3.24938i
\(601\) 18.3873 + 8.85488i 0.750035 + 0.361198i 0.769529 0.638612i \(-0.220491\pi\)
−0.0194935 + 0.999810i \(0.506205\pi\)
\(602\) −15.7619 + 23.7932i −0.642405 + 0.969740i
\(603\) −10.2928 21.3732i −0.419155 0.870384i
\(604\) −7.34614 0.359220i −0.298910 0.0146165i
\(605\) 11.0223 73.1282i 0.448120 2.97309i
\(606\) 41.8129 + 35.0493i 1.69853 + 1.42378i
\(607\) −17.5353 + 30.3720i −0.711735 + 1.23276i 0.252470 + 0.967605i \(0.418757\pi\)
−0.964205 + 0.265157i \(0.914576\pi\)
\(608\) 14.0650 25.9831i 0.570412 1.05375i
\(609\) −4.30882 12.3001i −0.174602 0.498424i
\(610\) 5.67776 + 3.46569i 0.229886 + 0.140322i
\(611\) 5.20338 + 34.5222i 0.210506 + 1.39662i
\(612\) 0.799443 0.0808090i 0.0323156 0.00326651i
\(613\) −18.3983 + 26.9853i −0.743098 + 1.08993i 0.249487 + 0.968378i \(0.419738\pi\)
−0.992586 + 0.121547i \(0.961214\pi\)
\(614\) −5.14443 9.43545i −0.207612 0.380784i
\(615\) 17.8708 + 22.4093i 0.720622 + 0.903631i
\(616\) −39.8734 + 1.56623i −1.60654 + 0.0631051i
\(617\) −11.6431 + 14.5999i −0.468732 + 0.587771i −0.958860 0.283879i \(-0.908378\pi\)
0.490128 + 0.871650i \(0.336950\pi\)
\(618\) 26.2605 + 4.61682i 1.05635 + 0.185716i
\(619\) 29.0361 16.7640i 1.16706 0.673801i 0.214072 0.976818i \(-0.431327\pi\)
0.952985 + 0.303017i \(0.0979938\pi\)
\(620\) 2.53428 + 4.13781i 0.101779 + 0.166178i
\(621\) −5.01908 + 5.40929i −0.201409 + 0.217067i
\(622\) 21.3556 21.9169i 0.856283 0.878787i
\(623\) −5.23985 27.6402i −0.209930 1.10738i
\(624\) 15.6863 21.9112i 0.627954 0.877149i
\(625\) 28.8074 + 73.4000i 1.15229 + 2.93600i
\(626\) −10.7163 23.7179i −0.428309 0.947957i
\(627\) 17.9767 + 58.2790i 0.717920 + 2.32744i
\(628\) −4.38534 + 3.15954i −0.174994 + 0.126079i
\(629\) −0.620557 + 0.141638i −0.0247432 + 0.00564748i
\(630\) −19.1003 + 21.1432i −0.760975 + 0.842366i
\(631\) 0.229259 1.00445i 0.00912664 0.0399864i −0.970160 0.242467i \(-0.922043\pi\)
0.979286 + 0.202481i \(0.0649004\pi\)
\(632\) 19.3726 18.0296i 0.770600 0.717179i
\(633\) −7.70487 + 19.6317i −0.306241 + 0.780289i
\(634\) 34.9884 + 17.9153i 1.38957 + 0.711506i
\(635\) −10.0394 14.7251i −0.398401 0.584346i
\(636\) −0.591245 + 0.497128i −0.0234444 + 0.0197124i
\(637\) −1.62438 21.4738i −0.0643602 0.850824i
\(638\) 15.9379 5.81002i 0.630989 0.230021i
\(639\) 1.72643 1.17706i 0.0682965 0.0465637i
\(640\) 2.56093 + 47.9221i 0.101229 + 1.89429i
\(641\) 9.72746 24.7852i 0.384212 0.978956i −0.599688 0.800234i \(-0.704709\pi\)
0.983900 0.178722i \(-0.0571961\pi\)
\(642\) −6.72777 + 0.339162i −0.265524 + 0.0133857i
\(643\) 14.0884 + 3.21558i 0.555590 + 0.126810i 0.491092 0.871108i \(-0.336598\pi\)
0.0644988 + 0.997918i \(0.479455\pi\)
\(644\) −9.94589 10.9609i −0.391923 0.431919i
\(645\) −69.0756 + 15.7661i −2.71985 + 0.620788i
\(646\) −1.59099 + 0.448500i −0.0625968 + 0.0176460i
\(647\) 45.7011 14.0969i 1.79670 0.554207i 0.797879 0.602818i \(-0.205955\pi\)
0.998818 + 0.0486105i \(0.0154793\pi\)
\(648\) 28.4672 + 13.6562i 1.11830 + 0.536465i
\(649\) 16.4652 + 41.9526i 0.646315 + 1.64678i
\(650\) 5.60016 56.2508i 0.219656 2.20634i
\(651\) −0.122743 + 3.31144i −0.00481068 + 0.129786i
\(652\) −6.28904 2.83011i −0.246298 0.110836i
\(653\) 19.6072 21.1316i 0.767290 0.826942i −0.221670 0.975122i \(-0.571151\pi\)
0.988960 + 0.148180i \(0.0473414\pi\)
\(654\) 4.98364 1.01008i 0.194876 0.0394971i
\(655\) −3.98265 6.89816i −0.155615 0.269533i
\(656\) 9.47121 + 7.91486i 0.369789 + 0.309023i
\(657\) −9.13194 + 11.4511i −0.356271 + 0.446749i
\(658\) −9.99901 41.2668i −0.389802 1.60875i
\(659\) 3.24594 2.58855i 0.126444 0.100836i −0.558226 0.829689i \(-0.688518\pi\)
0.684670 + 0.728853i \(0.259946\pi\)
\(660\) −74.3412 65.4736i −2.89373 2.54856i
\(661\) −9.98470 + 14.6449i −0.388360 + 0.569619i −0.969779 0.243985i \(-0.921545\pi\)
0.581419 + 0.813604i \(0.302498\pi\)
\(662\) 0.116636 0.459026i 0.00453321 0.0178406i
\(663\) −1.49079 + 0.224701i −0.0578976 + 0.00872666i
\(664\) −1.48652 9.76238i −0.0576880 0.378854i
\(665\) 31.1683 49.6428i 1.20866 1.92506i
\(666\) 6.84635 + 2.29642i 0.265291 + 0.0889844i
\(667\) 5.44906 + 3.14602i 0.210988 + 0.121814i
\(668\) −19.6305 7.12255i −0.759527 0.275580i
\(669\) −0.0186580 + 0.123788i −0.000721359 + 0.00478590i
\(670\) −73.0594 30.7538i −2.82253 1.18812i
\(671\) −5.32739 + 2.56554i −0.205662 + 0.0990415i
\(672\) −16.6587 + 28.2245i −0.642625 + 1.08878i
\(673\) −39.6299 19.0848i −1.52762 0.735663i −0.533691 0.845680i \(-0.679195\pi\)
−0.993930 + 0.110017i \(0.964910\pi\)
\(674\) −10.2592 11.6134i −0.395171 0.447330i
\(675\) 34.1815 2.56155i 1.31565 0.0985941i
\(676\) 3.83030 5.94358i 0.147319 0.228599i
\(677\) 42.5061 + 3.18539i 1.63364 + 0.122424i 0.859688 0.510819i \(-0.170658\pi\)
0.773952 + 0.633244i \(0.218277\pi\)
\(678\) −33.0413 + 21.3639i −1.26895 + 0.820477i
\(679\) 21.1770 5.68233i 0.812700 0.218068i
\(680\) 1.82325 1.97096i 0.0699185 0.0755827i
\(681\) −8.22817 2.53806i −0.315304 0.0972585i
\(682\) −4.31191 0.105361i −0.165111 0.00403450i
\(683\) 9.47791 + 10.2148i 0.362662 + 0.390857i 0.887853 0.460128i \(-0.152196\pi\)
−0.525190 + 0.850985i \(0.676006\pi\)
\(684\) 18.0574 + 5.06095i 0.690440 + 0.193510i
\(685\) 37.5953i 1.43644i
\(686\) 4.26640 + 25.8418i 0.162892 + 0.986644i
\(687\) −18.6521 −0.711621
\(688\) −27.7856 + 12.6047i −1.05932 + 0.480550i
\(689\) 0.397768 0.369075i 0.0151538 0.0140606i
\(690\) 0.897548 36.7321i 0.0341691 1.39837i
\(691\) 1.75809 5.69959i 0.0668809 0.216823i −0.915963 0.401263i \(-0.868571\pi\)
0.982844 + 0.184441i \(0.0590474\pi\)
\(692\) −3.54048 + 1.81960i −0.134589 + 0.0691707i
\(693\) −6.56391 24.4625i −0.249342 0.929255i
\(694\) −25.3340 + 16.3805i −0.961667 + 0.621796i
\(695\) 2.86860 38.2788i 0.108812 1.45200i
\(696\) 3.07983 13.5881i 0.116741 0.515057i
\(697\) −0.0516053 0.688625i −0.00195469 0.0260835i
\(698\) −18.9736 + 16.7613i −0.718161 + 0.634424i
\(699\) −19.0707 + 39.6007i −0.721319 + 1.49783i
\(700\) −0.763809 + 68.7476i −0.0288692 + 2.59842i
\(701\) 19.0068 + 39.4681i 0.717878 + 1.49069i 0.865107 + 0.501587i \(0.167250\pi\)
−0.147229 + 0.989102i \(0.547035\pi\)
\(702\) −10.5790 4.45314i −0.399277 0.168073i
\(703\) −14.6896 2.21411i −0.554030 0.0835066i
\(704\) −37.0083 21.2180i −1.39480 0.799684i
\(705\) 52.7050 91.2878i 1.98499 3.43810i
\(706\) −11.6345 + 34.6863i −0.437872 + 1.30544i
\(707\) 39.4765 + 24.7854i 1.48467 + 0.932152i
\(708\) 36.2887 + 7.29791i 1.36381 + 0.274272i
\(709\) 4.08529 + 27.1041i 0.153426 + 1.01792i 0.924503 + 0.381175i \(0.124480\pi\)
−0.771077 + 0.636742i \(0.780282\pi\)
\(710\) 1.71947 6.76701i 0.0645305 0.253961i
\(711\) 13.8787 + 9.46232i 0.520491 + 0.354865i
\(712\) 10.9453 28.0125i 0.410193 1.04981i
\(713\) −0.997455 1.25077i −0.0373550 0.0468417i
\(714\) 1.78205 0.431794i 0.0666917 0.0161595i
\(715\) 54.4048 + 43.3864i 2.03463 + 1.62256i
\(716\) −47.4965 + 8.42420i −1.77503 + 0.314827i
\(717\) 30.5337 17.6286i 1.14030 0.658354i
\(718\) −35.4718 + 7.18935i −1.32379 + 0.268304i
\(719\) 9.54847 + 8.85969i 0.356098 + 0.330411i 0.837854 0.545895i \(-0.183810\pi\)
−0.481756 + 0.876306i \(0.660001\pi\)
\(720\) −29.3053 + 8.30891i −1.09214 + 0.309655i
\(721\) 22.7637 + 0.843770i 0.847766 + 0.0314236i
\(722\) −11.6515 1.15999i −0.433624 0.0431703i
\(723\) −10.9190 + 4.28540i −0.406083 + 0.159376i
\(724\) −17.4276 + 17.0327i −0.647692 + 0.633014i
\(725\) −8.61498 27.9291i −0.319952 1.03726i
\(726\) 51.9671 14.6495i 1.92868 0.543694i
\(727\) −1.75124 7.67268i −0.0649499 0.284564i 0.932015 0.362421i \(-0.118050\pi\)
−0.996965 + 0.0778564i \(0.975192\pi\)
\(728\) 10.7196 20.3741i 0.397295 0.755115i
\(729\) −0.602787 + 2.64098i −0.0223254 + 0.0978142i
\(730\) 2.46410 + 48.8790i 0.0912005 + 1.80909i
\(731\) 1.58901 + 0.623640i 0.0587716 + 0.0230662i
\(732\) −0.599017 + 4.81934i −0.0221403 + 0.178128i
\(733\) −14.6498 21.4873i −0.541102 0.793651i 0.454156 0.890922i \(-0.349941\pi\)
−0.995258 + 0.0972714i \(0.968989\pi\)
\(734\) 30.3768 11.0736i 1.12123 0.408733i
\(735\) −36.5900 + 53.7486i −1.34964 + 1.98255i
\(736\) −2.78676 15.5753i −0.102721 0.574113i
\(737\) 58.2189 39.6929i 2.14452 1.46211i
\(738\) −3.57058 + 6.97332i −0.131435 + 0.256691i
\(739\) −32.0043 12.5607i −1.17730 0.462054i −0.305627 0.952151i \(-0.598866\pi\)
−0.871668 + 0.490097i \(0.836961\pi\)
\(740\) 22.2254 9.39515i 0.817023 0.345373i
\(741\) −34.3042 7.82971i −1.26020 0.287632i
\(742\) −0.442394 + 0.489711i −0.0162408 + 0.0179779i
\(743\) 9.38887 + 41.1353i 0.344444 + 1.50911i 0.789581 + 0.613646i \(0.210298\pi\)
−0.445137 + 0.895463i \(0.646845\pi\)
\(744\) −1.99115 + 2.92997i −0.0729989 + 0.107418i
\(745\) 24.4397 7.53865i 0.895401 0.276195i
\(746\) 7.68877 3.47396i 0.281506 0.127191i
\(747\) 5.83451 2.28988i 0.213474 0.0837822i
\(748\) 0.591257 + 2.31228i 0.0216185 + 0.0845453i
\(749\) −5.65436 + 1.07192i −0.206606 + 0.0391670i
\(750\) −73.2746 + 75.2004i −2.67561 + 2.74593i
\(751\) 9.55944 + 8.86986i 0.348829 + 0.323666i 0.835054 0.550167i \(-0.185436\pi\)
−0.486225 + 0.873833i \(0.661627\pi\)
\(752\) 14.3703 43.0580i 0.524032 1.57016i
\(753\) −3.36355 5.82584i −0.122575 0.212305i
\(754\) −1.69466 + 9.63923i −0.0617157 + 0.351040i
\(755\) −12.1958 9.72585i −0.443852 0.353960i
\(756\) 13.2931 + 4.26268i 0.483466 + 0.155032i
\(757\) 18.8694 15.0479i 0.685821 0.546924i −0.217409 0.976081i \(-0.569761\pi\)
0.903230 + 0.429157i \(0.141189\pi\)
\(758\) 14.0721 + 25.8099i 0.511123 + 0.937456i
\(759\) 26.9860 + 18.3988i 0.979530 + 0.667832i
\(760\) 56.4167 27.2738i 2.04645 0.989326i
\(761\) 28.3854 4.27841i 1.02897 0.155092i 0.387205 0.921994i \(-0.373440\pi\)
0.641765 + 0.766901i \(0.278202\pi\)
\(762\) 6.77898 11.1059i 0.245577 0.402323i
\(763\) 4.09998 1.43626i 0.148429 0.0519961i
\(764\) 0.835573 + 32.2051i 0.0302300 + 1.16514i
\(765\) 1.47586 + 0.852090i 0.0533600 + 0.0308074i
\(766\) 20.8332 + 17.4632i 0.752733 + 0.630973i
\(767\) −25.7109 3.87529i −0.928366 0.139929i
\(768\) −31.1138 + 16.1096i −1.12272 + 0.581304i
\(769\) −7.13222 + 3.43470i −0.257195 + 0.123858i −0.558039 0.829815i \(-0.688446\pi\)
0.300844 + 0.953673i \(0.402732\pi\)
\(770\) −70.5556 46.7396i −2.54265 1.68438i
\(771\) 19.4537 40.3960i 0.700607