Properties

Label 225.2.q.a.211.19
Level $225$
Weight $2$
Character 225.211
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 211.19
Character \(\chi\) \(=\) 225.211
Dual form 225.2.q.a.16.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.825259 + 0.367429i) q^{2} +(-0.453689 - 1.67158i) q^{3} +(-0.792213 - 0.879842i) q^{4} +(-1.78097 + 1.35209i) q^{5} +(0.239774 - 1.54618i) q^{6} +(-1.53265 - 2.65463i) q^{7} +(-0.888808 - 2.73547i) q^{8} +(-2.58833 + 1.51675i) q^{9} +O(q^{10})\) \(q+(0.825259 + 0.367429i) q^{2} +(-0.453689 - 1.67158i) q^{3} +(-0.792213 - 0.879842i) q^{4} +(-1.78097 + 1.35209i) q^{5} +(0.239774 - 1.54618i) q^{6} +(-1.53265 - 2.65463i) q^{7} +(-0.888808 - 2.73547i) q^{8} +(-2.58833 + 1.51675i) q^{9} +(-1.96656 + 0.461443i) q^{10} +(-1.20016 - 0.534345i) q^{11} +(-1.11130 + 1.72342i) q^{12} +(4.56466 - 2.03232i) q^{13} +(-0.289446 - 2.75390i) q^{14} +(3.06813 + 2.36360i) q^{15} +(0.0240823 - 0.229128i) q^{16} +(1.36059 + 4.18745i) q^{17} +(-2.69334 + 0.300684i) q^{18} +(-1.05356 - 3.24253i) q^{19} +(2.60053 + 0.495830i) q^{20} +(-3.74207 + 3.76632i) q^{21} +(-0.794108 - 0.881946i) q^{22} +(-0.595839 - 5.66903i) q^{23} +(-4.16930 + 2.72676i) q^{24} +(1.34371 - 4.81606i) q^{25} +4.51376 q^{26} +(3.70966 + 3.63846i) q^{27} +(-1.12147 + 3.45152i) q^{28} +(6.43584 - 1.36798i) q^{29} +(1.66354 + 3.07790i) q^{30} +(-5.33344 - 1.13366i) q^{31} +(-2.77218 + 4.80156i) q^{32} +(-0.348700 + 2.24858i) q^{33} +(-0.415756 + 3.95565i) q^{34} +(6.31890 + 2.65554i) q^{35} +(3.38501 + 1.07573i) q^{36} +(5.90992 + 4.29381i) q^{37} +(0.321938 - 3.06303i) q^{38} +(-5.46811 - 6.70813i) q^{39} +(5.28154 + 3.67004i) q^{40} +(1.45477 - 0.647706i) q^{41} +(-4.47203 + 1.73324i) q^{42} +(-2.24167 - 3.88268i) q^{43} +(0.480642 + 1.47926i) q^{44} +(2.55896 - 6.20095i) q^{45} +(1.59124 - 4.89734i) q^{46} +(6.49659 - 1.38089i) q^{47} +(-0.393930 + 0.0636974i) q^{48} +(-1.19804 + 2.07507i) q^{49} +(2.87847 - 3.48078i) q^{50} +(6.38236 - 4.17412i) q^{51} +(-5.40430 - 2.40615i) q^{52} +(-2.18021 + 6.70999i) q^{53} +(1.72456 + 4.36571i) q^{54} +(2.85993 - 0.671068i) q^{55} +(-5.89943 + 6.55198i) q^{56} +(-4.94214 + 3.23221i) q^{57} +(5.81387 + 1.23578i) q^{58} +(-3.22129 + 1.43421i) q^{59} +(-0.351016 - 4.57194i) q^{60} +(-11.2015 - 4.98723i) q^{61} +(-3.98493 - 2.89522i) q^{62} +(7.99343 + 4.54641i) q^{63} +(-4.42478 + 3.21479i) q^{64} +(-5.38165 + 9.79132i) q^{65} +(-1.11396 + 1.72754i) q^{66} +(-5.39308 - 1.14633i) q^{67} +(2.60642 - 4.51446i) q^{68} +(-9.20588 + 3.56797i) q^{69} +(4.23901 + 4.51325i) q^{70} +(-2.00148 + 6.15992i) q^{71} +(6.44956 + 5.73220i) q^{72} +(5.08449 - 3.69410i) q^{73} +(3.29954 + 5.71498i) q^{74} +(-8.66004 - 0.0611220i) q^{75} +(-2.01827 + 3.49574i) q^{76} +(0.420936 + 4.00494i) q^{77} +(-2.04784 - 7.54509i) q^{78} +(-2.76067 + 0.586798i) q^{79} +(0.266911 + 0.440631i) q^{80} +(4.39893 - 7.85171i) q^{81} +1.43855 q^{82} +(8.07261 - 8.96554i) q^{83} +(6.27828 + 0.308700i) q^{84} +(-8.08497 - 5.61810i) q^{85} +(-0.423346 - 4.02787i) q^{86} +(-5.20655 - 10.1374i) q^{87} +(-0.394974 + 3.75793i) q^{88} +(5.99213 - 4.35354i) q^{89} +(4.39021 - 4.17715i) q^{90} +(-12.3911 - 9.00265i) q^{91} +(-4.51581 + 5.01532i) q^{92} +(0.524729 + 9.42958i) q^{93} +(5.86875 + 1.24744i) q^{94} +(6.26055 + 4.35034i) q^{95} +(9.28387 + 2.45550i) q^{96} +(16.6509 - 3.53925i) q^{97} +(-1.75113 + 1.27227i) q^{98} +(3.91688 - 0.437280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.825259 + 0.367429i 0.583546 + 0.259811i 0.677207 0.735793i \(-0.263190\pi\)
−0.0936607 + 0.995604i \(0.529857\pi\)
\(3\) −0.453689 1.67158i −0.261938 0.965085i
\(4\) −0.792213 0.879842i −0.396106 0.439921i
\(5\) −1.78097 + 1.35209i −0.796474 + 0.604673i
\(6\) 0.239774 1.54618i 0.0978875 0.631226i
\(7\) −1.53265 2.65463i −0.579288 1.00336i −0.995561 0.0941164i \(-0.969997\pi\)
0.416273 0.909239i \(-0.363336\pi\)
\(8\) −0.888808 2.73547i −0.314241 0.967134i
\(9\) −2.58833 + 1.51675i −0.862777 + 0.505584i
\(10\) −1.96656 + 0.461443i −0.621880 + 0.145921i
\(11\) −1.20016 0.534345i −0.361861 0.161111i 0.217749 0.976005i \(-0.430129\pi\)
−0.579610 + 0.814894i \(0.696795\pi\)
\(12\) −1.11130 + 1.72342i −0.320806 + 0.497508i
\(13\) 4.56466 2.03232i 1.26601 0.563663i 0.339737 0.940520i \(-0.389662\pi\)
0.926271 + 0.376857i \(0.122995\pi\)
\(14\) −0.289446 2.75390i −0.0773578 0.736010i
\(15\) 3.06813 + 2.36360i 0.792187 + 0.610279i
\(16\) 0.0240823 0.229128i 0.00602058 0.0572820i
\(17\) 1.36059 + 4.18745i 0.329991 + 1.01561i 0.969137 + 0.246522i \(0.0792877\pi\)
−0.639147 + 0.769085i \(0.720712\pi\)
\(18\) −2.69334 + 0.300684i −0.634827 + 0.0708720i
\(19\) −1.05356 3.24253i −0.241703 0.743887i −0.996161 0.0875381i \(-0.972100\pi\)
0.754458 0.656349i \(-0.227900\pi\)
\(20\) 2.60053 + 0.495830i 0.581497 + 0.110871i
\(21\) −3.74207 + 3.76632i −0.816586 + 0.821878i
\(22\) −0.794108 0.881946i −0.169304 0.188032i
\(23\) −0.595839 5.66903i −0.124241 1.18207i −0.861964 0.506970i \(-0.830766\pi\)
0.737723 0.675104i \(-0.235901\pi\)
\(24\) −4.16930 + 2.72676i −0.851055 + 0.556598i
\(25\) 1.34371 4.81606i 0.268742 0.963212i
\(26\) 4.51376 0.885221
\(27\) 3.70966 + 3.63846i 0.713925 + 0.700222i
\(28\) −1.12147 + 3.45152i −0.211937 + 0.652277i
\(29\) 6.43584 1.36798i 1.19511 0.254027i 0.432948 0.901419i \(-0.357473\pi\)
0.762158 + 0.647392i \(0.224140\pi\)
\(30\) 1.66354 + 3.07790i 0.303720 + 0.561945i
\(31\) −5.33344 1.13366i −0.957915 0.203611i −0.297676 0.954667i \(-0.596212\pi\)
−0.660239 + 0.751056i \(0.729545\pi\)
\(32\) −2.77218 + 4.80156i −0.490057 + 0.848803i
\(33\) −0.348700 + 2.24858i −0.0607008 + 0.391428i
\(34\) −0.415756 + 3.95565i −0.0713015 + 0.678389i
\(35\) 6.31890 + 2.65554i 1.06809 + 0.448868i
\(36\) 3.38501 + 1.07573i 0.564169 + 0.179289i
\(37\) 5.90992 + 4.29381i 0.971584 + 0.705897i 0.955812 0.293978i \(-0.0949793\pi\)
0.0157722 + 0.999876i \(0.494979\pi\)
\(38\) 0.321938 3.06303i 0.0522252 0.496890i
\(39\) −5.46811 6.70813i −0.875598 1.07416i
\(40\) 5.28154 + 3.67004i 0.835084 + 0.580285i
\(41\) 1.45477 0.647706i 0.227197 0.101155i −0.289981 0.957032i \(-0.593649\pi\)
0.517178 + 0.855878i \(0.326982\pi\)
\(42\) −4.47203 + 1.73324i −0.690049 + 0.267445i
\(43\) −2.24167 3.88268i −0.341851 0.592103i 0.642926 0.765929i \(-0.277720\pi\)
−0.984776 + 0.173826i \(0.944387\pi\)
\(44\) 0.480642 + 1.47926i 0.0724595 + 0.223008i
\(45\) 2.55896 6.20095i 0.381467 0.924382i
\(46\) 1.59124 4.89734i 0.234616 0.722074i
\(47\) 6.49659 1.38089i 0.947624 0.201424i 0.291921 0.956442i \(-0.405706\pi\)
0.655703 + 0.755019i \(0.272372\pi\)
\(48\) −0.393930 + 0.0636974i −0.0568590 + 0.00919393i
\(49\) −1.19804 + 2.07507i −0.171149 + 0.296438i
\(50\) 2.87847 3.48078i 0.407077 0.492256i
\(51\) 6.38236 4.17412i 0.893710 0.584494i
\(52\) −5.40430 2.40615i −0.749441 0.333673i
\(53\) −2.18021 + 6.70999i −0.299475 + 0.921688i 0.682207 + 0.731159i \(0.261020\pi\)
−0.981682 + 0.190529i \(0.938980\pi\)
\(54\) 1.72456 + 4.36571i 0.234683 + 0.594098i
\(55\) 2.85993 0.671068i 0.385633 0.0904868i
\(56\) −5.89943 + 6.55198i −0.788344 + 0.875545i
\(57\) −4.94214 + 3.23221i −0.654603 + 0.428116i
\(58\) 5.81387 + 1.23578i 0.763398 + 0.162265i
\(59\) −3.22129 + 1.43421i −0.419377 + 0.186719i −0.605566 0.795795i \(-0.707053\pi\)
0.186189 + 0.982514i \(0.440386\pi\)
\(60\) −0.351016 4.57194i −0.0453160 0.590235i
\(61\) −11.2015 4.98723i −1.43420 0.638549i −0.465113 0.885251i \(-0.653986\pi\)
−0.969091 + 0.246702i \(0.920653\pi\)
\(62\) −3.98493 2.89522i −0.506087 0.367694i
\(63\) 7.99343 + 4.54641i 1.00708 + 0.572794i
\(64\) −4.42478 + 3.21479i −0.553097 + 0.401848i
\(65\) −5.38165 + 9.79132i −0.667511 + 1.21446i
\(66\) −1.11396 + 1.72754i −0.137119 + 0.212646i
\(67\) −5.39308 1.14633i −0.658869 0.140047i −0.133669 0.991026i \(-0.542676\pi\)
−0.525200 + 0.850979i \(0.676009\pi\)
\(68\) 2.60642 4.51446i 0.316075 0.547458i
\(69\) −9.20588 + 3.56797i −1.10826 + 0.429533i
\(70\) 4.23901 + 4.51325i 0.506659 + 0.539437i
\(71\) −2.00148 + 6.15992i −0.237532 + 0.731048i 0.759244 + 0.650807i \(0.225569\pi\)
−0.996775 + 0.0802415i \(0.974431\pi\)
\(72\) 6.44956 + 5.73220i 0.760087 + 0.675547i
\(73\) 5.08449 3.69410i 0.595094 0.432361i −0.249040 0.968493i \(-0.580115\pi\)
0.844134 + 0.536132i \(0.180115\pi\)
\(74\) 3.29954 + 5.71498i 0.383564 + 0.664352i
\(75\) −8.66004 0.0611220i −0.999975 0.00705776i
\(76\) −2.01827 + 3.49574i −0.231511 + 0.400989i
\(77\) 0.420936 + 4.00494i 0.0479702 + 0.456406i
\(78\) −2.04784 7.54509i −0.231872 0.854313i
\(79\) −2.76067 + 0.586798i −0.310599 + 0.0660199i −0.360574 0.932731i \(-0.617419\pi\)
0.0499748 + 0.998750i \(0.484086\pi\)
\(80\) 0.266911 + 0.440631i 0.0298416 + 0.0492641i
\(81\) 4.39893 7.85171i 0.488770 0.872413i
\(82\) 1.43855 0.158861
\(83\) 8.07261 8.96554i 0.886084 0.984096i −0.113872 0.993495i \(-0.536325\pi\)
0.999956 + 0.00939965i \(0.00299205\pi\)
\(84\) 6.27828 + 0.308700i 0.685017 + 0.0336820i
\(85\) −8.08497 5.61810i −0.876938 0.609368i
\(86\) −0.423346 4.02787i −0.0456506 0.434336i
\(87\) −5.20655 10.1374i −0.558201 1.08684i
\(88\) −0.394974 + 3.75793i −0.0421044 + 0.400596i
\(89\) 5.99213 4.35354i 0.635164 0.461474i −0.223021 0.974814i \(-0.571592\pi\)
0.858185 + 0.513340i \(0.171592\pi\)
\(90\) 4.39021 4.17715i 0.462769 0.440310i
\(91\) −12.3911 9.00265i −1.29894 0.943734i
\(92\) −4.51581 + 5.01532i −0.470806 + 0.522883i
\(93\) 0.524729 + 9.42958i 0.0544118 + 0.977802i
\(94\) 5.86875 + 1.24744i 0.605315 + 0.128664i
\(95\) 6.26055 + 4.35034i 0.642318 + 0.446335i
\(96\) 9.28387 + 2.45550i 0.947531 + 0.250613i
\(97\) 16.6509 3.53925i 1.69064 0.359357i 0.740712 0.671823i \(-0.234488\pi\)
0.949929 + 0.312466i \(0.101155\pi\)
\(98\) −1.75113 + 1.27227i −0.176891 + 0.128519i
\(99\) 3.91688 0.437280i 0.393661 0.0439483i
\(100\) −5.30188 + 2.63309i −0.530188 + 0.263309i
\(101\) −6.32691 10.9585i −0.629551 1.09042i −0.987642 0.156728i \(-0.949905\pi\)
0.358090 0.933687i \(-0.383428\pi\)
\(102\) 6.80080 1.09967i 0.673379 0.108883i
\(103\) 12.4211 + 13.7950i 1.22389 + 1.35926i 0.912551 + 0.408962i \(0.134109\pi\)
0.311334 + 0.950300i \(0.399224\pi\)
\(104\) −9.61644 10.6801i −0.942970 1.04727i
\(105\) 1.57211 11.7673i 0.153423 1.14837i
\(106\) −4.26468 + 4.73641i −0.414222 + 0.460041i
\(107\) −12.3221 −1.19122 −0.595611 0.803273i \(-0.703090\pi\)
−0.595611 + 0.803273i \(0.703090\pi\)
\(108\) 0.262426 6.14635i 0.0252519 0.591433i
\(109\) −0.372310 0.270499i −0.0356608 0.0259091i 0.569812 0.821775i \(-0.307016\pi\)
−0.605473 + 0.795866i \(0.707016\pi\)
\(110\) 2.60675 + 0.497016i 0.248544 + 0.0473886i
\(111\) 4.49616 11.8269i 0.426756 1.12256i
\(112\) −0.645159 + 0.287244i −0.0609618 + 0.0271420i
\(113\) −10.8046 + 4.81051i −1.01641 + 0.452535i −0.846196 0.532872i \(-0.821113\pi\)
−0.170214 + 0.985407i \(0.554446\pi\)
\(114\) −5.26615 + 0.851521i −0.493220 + 0.0797523i
\(115\) 8.72620 + 9.29074i 0.813722 + 0.866366i
\(116\) −6.30216 4.57879i −0.585141 0.425130i
\(117\) −8.73233 + 12.1838i −0.807305 + 1.12639i
\(118\) −3.18537 −0.293237
\(119\) 9.03084 10.0298i 0.827855 0.919427i
\(120\) 3.73858 10.4935i 0.341284 0.957926i
\(121\) −6.20558 6.89200i −0.564144 0.626545i
\(122\) −7.41168 8.23151i −0.671022 0.745246i
\(123\) −1.74270 2.13791i −0.157134 0.192768i
\(124\) 3.22778 + 5.59068i 0.289863 + 0.502058i
\(125\) 4.11863 + 10.3941i 0.368382 + 0.929675i
\(126\) 4.92616 + 6.68898i 0.438857 + 0.595902i
\(127\) 14.1647 10.2913i 1.25691 0.913201i 0.258311 0.966062i \(-0.416834\pi\)
0.998602 + 0.0528609i \(0.0168340\pi\)
\(128\) 6.01361 1.27823i 0.531533 0.112981i
\(129\) −5.47317 + 5.50864i −0.481886 + 0.485009i
\(130\) −8.03887 + 6.10300i −0.705055 + 0.535269i
\(131\) 5.13306 + 1.09107i 0.448478 + 0.0953269i 0.426613 0.904434i \(-0.359707\pi\)
0.0218643 + 0.999761i \(0.493040\pi\)
\(132\) 2.25464 1.47456i 0.196241 0.128344i
\(133\) −6.99297 + 7.76648i −0.606367 + 0.673439i
\(134\) −4.02949 2.92759i −0.348095 0.252906i
\(135\) −11.5263 1.46420i −0.992028 0.126018i
\(136\) 10.2453 7.44368i 0.878531 0.638290i
\(137\) 0.190067 1.80837i 0.0162385 0.154499i −0.983398 0.181462i \(-0.941917\pi\)
0.999636 + 0.0269631i \(0.00858365\pi\)
\(138\) −8.90821 0.438013i −0.758317 0.0372861i
\(139\) 1.07343 + 10.2130i 0.0910470 + 0.866254i 0.940775 + 0.339032i \(0.110100\pi\)
−0.849728 + 0.527222i \(0.823234\pi\)
\(140\) −2.66946 7.66338i −0.225611 0.647674i
\(141\) −5.25570 10.2330i −0.442609 0.861778i
\(142\) −3.91507 + 4.34813i −0.328546 + 0.364887i
\(143\) −6.56427 −0.548932
\(144\) 0.285197 + 0.629586i 0.0237664 + 0.0524655i
\(145\) −9.61241 + 11.1382i −0.798267 + 0.924974i
\(146\) 5.55334 1.18040i 0.459598 0.0976905i
\(147\) 4.01217 + 1.06118i 0.330918 + 0.0875247i
\(148\) −0.904043 8.60140i −0.0743119 0.707031i
\(149\) −3.40851 + 5.90371i −0.279236 + 0.483651i −0.971195 0.238286i \(-0.923415\pi\)
0.691959 + 0.721937i \(0.256748\pi\)
\(150\) −7.12432 3.23239i −0.581698 0.263924i
\(151\) 9.80375 + 16.9806i 0.797818 + 1.38186i 0.921034 + 0.389482i \(0.127346\pi\)
−0.123216 + 0.992380i \(0.539321\pi\)
\(152\) −7.93342 + 5.76397i −0.643485 + 0.467519i
\(153\) −9.87298 8.77485i −0.798183 0.709405i
\(154\) −1.12415 + 3.45978i −0.0905866 + 0.278797i
\(155\) 11.0315 5.19228i 0.886072 0.417054i
\(156\) −1.57019 + 10.1253i −0.125716 + 0.810676i
\(157\) 7.62958 13.2148i 0.608907 1.05466i −0.382514 0.923950i \(-0.624942\pi\)
0.991421 0.130708i \(-0.0417251\pi\)
\(158\) −2.49387 0.530089i −0.198402 0.0421716i
\(159\) 12.2054 + 0.600134i 0.967951 + 0.0475937i
\(160\) −1.55496 12.2997i −0.122930 0.972374i
\(161\) −14.1360 + 10.2704i −1.11407 + 0.809419i
\(162\) 6.51520 4.86340i 0.511883 0.382105i
\(163\) −0.570284 0.414336i −0.0446681 0.0324533i 0.565227 0.824935i \(-0.308789\pi\)
−0.609895 + 0.792482i \(0.708789\pi\)
\(164\) −1.72237 0.766848i −0.134494 0.0598808i
\(165\) −2.41926 4.47613i −0.188339 0.348466i
\(166\) 9.95619 4.43278i 0.772750 0.344051i
\(167\) 4.41742 + 0.938953i 0.341831 + 0.0726583i 0.375628 0.926770i \(-0.377427\pi\)
−0.0337978 + 0.999429i \(0.510760\pi\)
\(168\) 13.6286 + 6.88878i 1.05147 + 0.531481i
\(169\) 8.00710 8.89278i 0.615930 0.684060i
\(170\) −4.60794 7.60704i −0.353413 0.583433i
\(171\) 7.64507 + 6.79475i 0.584633 + 0.519607i
\(172\) −1.64027 + 5.04822i −0.125069 + 0.384923i
\(173\) −3.97911 1.77162i −0.302527 0.134693i 0.249859 0.968282i \(-0.419616\pi\)
−0.552386 + 0.833589i \(0.686282\pi\)
\(174\) −0.571995 10.2790i −0.0433629 0.779248i
\(175\) −14.8443 + 3.81428i −1.12212 + 0.288333i
\(176\) −0.151336 + 0.262122i −0.0114074 + 0.0197582i
\(177\) 3.85886 + 4.73395i 0.290050 + 0.355826i
\(178\) 6.54467 1.39111i 0.490544 0.104268i
\(179\) −0.115016 + 0.353983i −0.00859671 + 0.0264579i −0.955263 0.295758i \(-0.904428\pi\)
0.946666 + 0.322216i \(0.104428\pi\)
\(180\) −7.48309 + 2.66099i −0.557757 + 0.198338i
\(181\) 1.51210 + 4.65376i 0.112393 + 0.345912i 0.991394 0.130908i \(-0.0417894\pi\)
−0.879001 + 0.476820i \(0.841789\pi\)
\(182\) −6.91802 11.9824i −0.512797 0.888191i
\(183\) −3.25453 + 20.9868i −0.240582 + 1.55139i
\(184\) −14.9779 + 6.66857i −1.10418 + 0.491614i
\(185\) −16.3310 + 0.343591i −1.20068 + 0.0252613i
\(186\) −3.03166 + 7.97465i −0.222292 + 0.584730i
\(187\) 0.604626 5.75263i 0.0442146 0.420674i
\(188\) −6.36165 4.62201i −0.463971 0.337094i
\(189\) 3.97315 15.4243i 0.289004 1.12195i
\(190\) 3.56813 + 5.89046i 0.258859 + 0.427339i
\(191\) −0.438688 + 4.17383i −0.0317423 + 0.302008i 0.967120 + 0.254321i \(0.0818518\pi\)
−0.998862 + 0.0476875i \(0.984815\pi\)
\(192\) 7.38123 + 5.93783i 0.532695 + 0.428526i
\(193\) 1.47540 2.55547i 0.106202 0.183946i −0.808027 0.589146i \(-0.799464\pi\)
0.914228 + 0.405199i \(0.132798\pi\)
\(194\) 15.0417 + 3.19722i 1.07993 + 0.229547i
\(195\) 18.8085 + 4.55362i 1.34691 + 0.326092i
\(196\) 2.77483 0.589809i 0.198202 0.0421292i
\(197\) −2.11764 + 6.51743i −0.150876 + 0.464348i −0.997720 0.0674935i \(-0.978500\pi\)
0.846844 + 0.531842i \(0.178500\pi\)
\(198\) 3.39311 + 1.07831i 0.241138 + 0.0766318i
\(199\) 9.62725 0.682458 0.341229 0.939980i \(-0.389157\pi\)
0.341229 + 0.939980i \(0.389157\pi\)
\(200\) −14.3685 + 0.604870i −1.01601 + 0.0427708i
\(201\) 0.530596 + 9.53501i 0.0374253 + 0.672548i
\(202\) −1.19486 11.3683i −0.0840700 0.799872i
\(203\) −13.4954 14.9881i −0.947190 1.05196i
\(204\) −8.72876 2.30867i −0.611135 0.161639i
\(205\) −1.71515 + 3.12053i −0.119791 + 0.217947i
\(206\) 5.18192 + 15.9483i 0.361042 + 1.11117i
\(207\) 10.1407 + 13.7696i 0.704830 + 0.957052i
\(208\) −0.355733 1.09483i −0.0246656 0.0759130i
\(209\) −0.468188 + 4.45451i −0.0323852 + 0.308125i
\(210\) 5.62105 9.13344i 0.387890 0.630267i
\(211\) 0.649884 + 6.18323i 0.0447398 + 0.425671i 0.993851 + 0.110729i \(0.0353185\pi\)
−0.949111 + 0.314942i \(0.898015\pi\)
\(212\) 7.63092 3.39750i 0.524094 0.233341i
\(213\) 11.2048 + 0.550936i 0.767742 + 0.0377495i
\(214\) −10.1689 4.52749i −0.695133 0.309493i
\(215\) 9.24207 + 3.88400i 0.630304 + 0.264887i
\(216\) 6.65572 13.3816i 0.452864 0.910500i
\(217\) 5.16487 + 15.8958i 0.350614 + 1.07908i
\(218\) −0.207863 0.360029i −0.0140783 0.0243842i
\(219\) −8.48174 6.82314i −0.573143 0.461065i
\(220\) −2.85611 1.98466i −0.192559 0.133805i
\(221\) 14.7208 + 16.3492i 0.990231 + 1.09976i
\(222\) 8.05605 8.10826i 0.540687 0.544191i
\(223\) 14.2889 + 6.36182i 0.956854 + 0.426019i 0.824926 0.565240i \(-0.191217\pi\)
0.131928 + 0.991259i \(0.457883\pi\)
\(224\) 16.9951 1.13554
\(225\) 3.82679 + 14.5036i 0.255120 + 0.966909i
\(226\) −10.6841 −0.710696
\(227\) −3.05923 1.36206i −0.203048 0.0904029i 0.302693 0.953088i \(-0.402114\pi\)
−0.505741 + 0.862685i \(0.668781\pi\)
\(228\) 6.75906 + 1.78771i 0.447630 + 0.118394i
\(229\) 15.8284 + 17.5792i 1.04597 + 1.16167i 0.986554 + 0.163436i \(0.0522576\pi\)
0.0594174 + 0.998233i \(0.481076\pi\)
\(230\) 3.78769 + 10.8735i 0.249753 + 0.716979i
\(231\) 6.50359 2.52063i 0.427905 0.165845i
\(232\) −9.46229 16.3892i −0.621230 1.07600i
\(233\) −6.81754 20.9822i −0.446632 1.37459i −0.880684 0.473704i \(-0.842917\pi\)
0.434053 0.900888i \(-0.357083\pi\)
\(234\) −11.6831 + 6.84625i −0.763748 + 0.447553i
\(235\) −9.70314 + 11.2433i −0.632963 + 0.733431i
\(236\) 3.81383 + 1.69803i 0.248259 + 0.110532i
\(237\) 2.23336 + 4.34844i 0.145072 + 0.282462i
\(238\) 11.1380 4.95896i 0.721969 0.321441i
\(239\) 1.51232 + 14.3888i 0.0978238 + 0.930731i 0.927837 + 0.372987i \(0.121666\pi\)
−0.830013 + 0.557744i \(0.811667\pi\)
\(240\) 0.615454 0.646072i 0.0397274 0.0417038i
\(241\) −0.931272 + 8.86046i −0.0599885 + 0.570753i 0.922704 + 0.385509i \(0.125974\pi\)
−0.982693 + 0.185244i \(0.940693\pi\)
\(242\) −2.58889 7.96779i −0.166420 0.512189i
\(243\) −15.1205 3.79091i −0.969979 0.243187i
\(244\) 4.48600 + 13.8065i 0.287187 + 0.883870i
\(245\) −0.672000 5.31549i −0.0429325 0.339594i
\(246\) −0.652654 2.40465i −0.0416117 0.153315i
\(247\) −11.3990 12.6599i −0.725300 0.805527i
\(248\) 1.63932 + 15.5971i 0.104097 + 0.990415i
\(249\) −18.6490 9.42641i −1.18183 0.597374i
\(250\) −0.420149 + 10.0911i −0.0265725 + 0.638218i
\(251\) 12.4010 0.782742 0.391371 0.920233i \(-0.372001\pi\)
0.391371 + 0.920233i \(0.372001\pi\)
\(252\) −2.33237 10.6347i −0.146926 0.669922i
\(253\) −2.31412 + 7.12212i −0.145487 + 0.447764i
\(254\) 15.4708 3.28843i 0.970727 0.206334i
\(255\) −5.72301 + 16.0635i −0.358389 + 1.00594i
\(256\) 16.1321 + 3.42897i 1.00825 + 0.214311i
\(257\) 15.6534 27.1124i 0.976431 1.69123i 0.301301 0.953529i \(-0.402579\pi\)
0.675130 0.737699i \(-0.264088\pi\)
\(258\) −6.54082 + 2.53505i −0.407214 + 0.157826i
\(259\) 2.34062 22.2695i 0.145439 1.38376i
\(260\) 12.8782 3.02181i 0.798673 0.187405i
\(261\) −14.5832 + 13.3024i −0.902678 + 0.823395i
\(262\) 3.83522 + 2.78645i 0.236940 + 0.172147i
\(263\) −2.67571 + 25.4577i −0.164992 + 1.56979i 0.528252 + 0.849087i \(0.322847\pi\)
−0.693244 + 0.720703i \(0.743819\pi\)
\(264\) 6.46086 1.04470i 0.397638 0.0642969i
\(265\) −5.18962 14.8981i −0.318796 0.915185i
\(266\) −8.62464 + 3.83994i −0.528810 + 0.235442i
\(267\) −9.99583 8.04115i −0.611735 0.492110i
\(268\) 3.26387 + 5.65319i 0.199373 + 0.345324i
\(269\) 0.317149 + 0.976085i 0.0193369 + 0.0595129i 0.960259 0.279109i \(-0.0900392\pi\)
−0.940922 + 0.338622i \(0.890039\pi\)
\(270\) −8.97421 5.44345i −0.546153 0.331278i
\(271\) 6.14011 18.8973i 0.372985 1.14793i −0.571843 0.820363i \(-0.693771\pi\)
0.944828 0.327567i \(-0.106229\pi\)
\(272\) 0.992228 0.210905i 0.0601627 0.0127880i
\(273\) −9.42691 + 24.7970i −0.570543 + 1.50078i
\(274\) 0.821301 1.42253i 0.0496166 0.0859384i
\(275\) −4.18611 + 5.06203i −0.252432 + 0.305252i
\(276\) 10.4323 + 5.27313i 0.627948 + 0.317405i
\(277\) 16.5366 + 7.36256i 0.993587 + 0.442373i 0.838131 0.545470i \(-0.183649\pi\)
0.155456 + 0.987843i \(0.450315\pi\)
\(278\) −2.86669 + 8.82276i −0.171933 + 0.529154i
\(279\) 15.5242 5.15522i 0.929410 0.308635i
\(280\) 1.64785 19.6454i 0.0984778 1.17404i
\(281\) −17.1957 + 19.0978i −1.02581 + 1.13928i −0.0356460 + 0.999364i \(0.511349\pi\)
−0.990164 + 0.139913i \(0.955318\pi\)
\(282\) −0.577394 10.3760i −0.0343833 0.617882i
\(283\) −8.60803 1.82969i −0.511694 0.108764i −0.0551737 0.998477i \(-0.517571\pi\)
−0.456521 + 0.889713i \(0.650905\pi\)
\(284\) 7.00535 3.11898i 0.415691 0.185078i
\(285\) 4.43158 12.4387i 0.262504 0.736804i
\(286\) −5.41722 2.41190i −0.320327 0.142619i
\(287\) −3.94908 2.86917i −0.233107 0.169362i
\(288\) −0.107445 16.6327i −0.00633125 0.980093i
\(289\) −1.93028 + 1.40243i −0.113546 + 0.0824960i
\(290\) −12.0252 + 5.65999i −0.706145 + 0.332366i
\(291\) −13.4705 26.2275i −0.789652 1.53748i
\(292\) −7.27822 1.54703i −0.425926 0.0905333i
\(293\) −3.17339 + 5.49647i −0.185391 + 0.321107i −0.943708 0.330779i \(-0.892689\pi\)
0.758317 + 0.651886i \(0.226022\pi\)
\(294\) 2.92117 + 2.34994i 0.170366 + 0.137051i
\(295\) 3.79785 6.90977i 0.221119 0.402302i
\(296\) 6.49279 19.9828i 0.377386 1.16147i
\(297\) −2.50799 6.34897i −0.145528 0.368405i
\(298\) −4.98210 + 3.61971i −0.288605 + 0.209684i
\(299\) −14.2411 24.6662i −0.823582 1.42649i
\(300\) 6.80682 + 7.66788i 0.392992 + 0.442705i
\(301\) −6.87138 + 11.9016i −0.396060 + 0.685996i
\(302\) 1.85147 + 17.6156i 0.106540 + 1.01366i
\(303\) −15.4476 + 15.5477i −0.887440 + 0.893191i
\(304\) −0.768325 + 0.163313i −0.0440665 + 0.00936662i
\(305\) 26.6927 6.26331i 1.52842 0.358636i
\(306\) −4.92363 10.8691i −0.281465 0.621347i
\(307\) −25.8730 −1.47665 −0.738325 0.674445i \(-0.764383\pi\)
−0.738325 + 0.674445i \(0.764383\pi\)
\(308\) 3.19024 3.54312i 0.181781 0.201888i
\(309\) 17.4241 27.0214i 0.991222 1.53720i
\(310\) 11.0116 0.231676i 0.625419 0.0131583i
\(311\) −0.350514 3.33492i −0.0198758 0.189106i 0.980079 0.198608i \(-0.0636421\pi\)
−0.999955 + 0.00950197i \(0.996975\pi\)
\(312\) −13.4898 + 20.9201i −0.763709 + 1.18437i
\(313\) 0.927483 8.82441i 0.0524244 0.498785i −0.936532 0.350581i \(-0.885984\pi\)
0.988957 0.148204i \(-0.0473492\pi\)
\(314\) 11.1519 8.10232i 0.629338 0.457241i
\(315\) −20.3832 + 2.71079i −1.14846 + 0.152736i
\(316\) 2.70333 + 1.96408i 0.152074 + 0.110488i
\(317\) −21.3777 + 23.7423i −1.20069 + 1.33350i −0.272157 + 0.962253i \(0.587737\pi\)
−0.928534 + 0.371249i \(0.878930\pi\)
\(318\) 9.85210 + 4.97988i 0.552478 + 0.279258i
\(319\) −8.45500 1.79717i −0.473389 0.100622i
\(320\) 3.53372 11.7081i 0.197541 0.654504i
\(321\) 5.59040 + 20.5973i 0.312026 + 1.14963i
\(322\) −15.4395 + 3.28176i −0.860407 + 0.182885i
\(323\) 12.1445 8.82347i 0.675736 0.490951i
\(324\) −10.3932 + 2.34987i −0.577397 + 0.130548i
\(325\) −3.65418 24.7145i −0.202697 1.37091i
\(326\) −0.318393 0.551473i −0.0176342 0.0305433i
\(327\) −0.283247 + 0.745067i −0.0156636 + 0.0412023i
\(328\) −3.06479 3.40380i −0.169225 0.187943i
\(329\) −13.6228 15.1296i −0.751047 0.834122i
\(330\) −0.351856 4.58287i −0.0193690 0.252279i
\(331\) −8.25522 + 9.16835i −0.453748 + 0.503938i −0.925999 0.377526i \(-0.876775\pi\)
0.472251 + 0.881464i \(0.343442\pi\)
\(332\) −14.2835 −0.783908
\(333\) −21.8095 2.14992i −1.19515 0.117815i
\(334\) 3.30052 + 2.39797i 0.180596 + 0.131211i
\(335\) 11.1549 5.25033i 0.609455 0.286856i
\(336\) 0.772851 + 0.948114i 0.0421625 + 0.0517239i
\(337\) −6.54409 + 2.91362i −0.356479 + 0.158715i −0.577160 0.816631i \(-0.695839\pi\)
0.220680 + 0.975346i \(0.429172\pi\)
\(338\) 9.87539 4.39681i 0.537151 0.239155i
\(339\) 12.9431 + 15.8782i 0.702970 + 0.862386i
\(340\) 1.46198 + 11.5642i 0.0792872 + 0.627158i
\(341\) 5.79521 + 4.21047i 0.313828 + 0.228010i
\(342\) 3.81258 + 8.41645i 0.206161 + 0.455109i
\(343\) −14.1124 −0.761998
\(344\) −8.62854 + 9.58296i −0.465219 + 0.516679i
\(345\) 11.5712 18.8016i 0.622972 1.01224i
\(346\) −2.63286 2.92408i −0.141543 0.157200i
\(347\) 0.212737 + 0.236268i 0.0114203 + 0.0126835i 0.748828 0.662764i \(-0.230617\pi\)
−0.737408 + 0.675448i \(0.763950\pi\)
\(348\) −4.79457 + 12.6119i −0.257016 + 0.676068i
\(349\) −7.13603 12.3600i −0.381983 0.661614i 0.609363 0.792892i \(-0.291425\pi\)
−0.991346 + 0.131278i \(0.958092\pi\)
\(350\) −13.6519 2.30645i −0.729723 0.123285i
\(351\) 24.3279 + 9.06912i 1.29852 + 0.484074i
\(352\) 5.89274 4.28133i 0.314084 0.228196i
\(353\) 14.5817 3.09943i 0.776104 0.164966i 0.197202 0.980363i \(-0.436815\pi\)
0.578902 + 0.815397i \(0.303481\pi\)
\(354\) 1.44517 + 5.32459i 0.0768099 + 0.282999i
\(355\) −4.76418 13.6768i −0.252857 0.725890i
\(356\) −8.57746 1.82320i −0.454605 0.0966292i
\(357\) −20.8627 10.5453i −1.10417 0.558118i
\(358\) −0.224982 + 0.249868i −0.0118907 + 0.0132059i
\(359\) 12.3016 + 8.93763i 0.649253 + 0.471710i 0.863017 0.505175i \(-0.168572\pi\)
−0.213763 + 0.976885i \(0.568572\pi\)
\(360\) −19.2369 1.48851i −1.01387 0.0784514i
\(361\) 5.96733 4.33552i 0.314070 0.228185i
\(362\) −0.462054 + 4.39615i −0.0242850 + 0.231057i
\(363\) −8.70509 + 13.4999i −0.456899 + 0.708562i
\(364\) 1.89547 + 18.0342i 0.0993497 + 0.945249i
\(365\) −4.06058 + 13.4538i −0.212540 + 0.704202i
\(366\) −10.3970 + 16.1237i −0.543460 + 0.842801i
\(367\) 5.63960 6.26341i 0.294385 0.326948i −0.577749 0.816214i \(-0.696069\pi\)
0.872134 + 0.489267i \(0.162736\pi\)
\(368\) −1.31328 −0.0684595
\(369\) −2.78302 + 3.88301i −0.144878 + 0.202141i
\(370\) −13.6035 5.71693i −0.707215 0.297209i
\(371\) 21.1540 4.49643i 1.09826 0.233443i
\(372\) 7.88084 7.93192i 0.408603 0.411251i
\(373\) −3.37560 32.1167i −0.174782 1.66294i −0.633039 0.774120i \(-0.718193\pi\)
0.458257 0.888820i \(-0.348474\pi\)
\(374\) 2.61266 4.52525i 0.135097 0.233995i
\(375\) 15.5059 11.6003i 0.800722 0.599036i
\(376\) −9.55160 16.5439i −0.492586 0.853184i
\(377\) 26.5972 19.3240i 1.36983 0.995238i
\(378\) 8.94620 11.2692i 0.460143 0.579624i
\(379\) 5.98776 18.4284i 0.307571 0.946605i −0.671135 0.741335i \(-0.734193\pi\)
0.978705 0.205270i \(-0.0658072\pi\)
\(380\) −1.13208 8.95468i −0.0580744 0.459365i
\(381\) −23.6290 19.0083i −1.21055 0.973826i
\(382\) −1.89562 + 3.28331i −0.0969883 + 0.167989i
\(383\) 25.8583 + 5.49635i 1.32130 + 0.280851i 0.813972 0.580904i \(-0.197301\pi\)
0.507326 + 0.861754i \(0.330634\pi\)
\(384\) −4.86497 9.47229i −0.248265 0.483381i
\(385\) −6.16471 6.56354i −0.314183 0.334509i
\(386\) 2.15654 1.56682i 0.109765 0.0797489i
\(387\) 11.6912 + 6.64961i 0.594299 + 0.338019i
\(388\) −16.3050 11.8463i −0.827762 0.601405i
\(389\) 9.64786 + 4.29550i 0.489166 + 0.217791i 0.636471 0.771300i \(-0.280393\pi\)
−0.147305 + 0.989091i \(0.547060\pi\)
\(390\) 13.8488 + 10.6687i 0.701260 + 0.540231i
\(391\) 22.9281 10.2082i 1.15952 0.516253i
\(392\) 6.74111 + 1.43287i 0.340477 + 0.0723707i
\(393\) −0.505014 9.07531i −0.0254746 0.457789i
\(394\) −4.14230 + 4.60049i −0.208686 + 0.231769i
\(395\) 4.12326 4.77774i 0.207464 0.240394i
\(396\) −3.48774 3.09981i −0.175265 0.155772i
\(397\) −0.814060 + 2.50542i −0.0408565 + 0.125743i −0.969404 0.245469i \(-0.921058\pi\)
0.928548 + 0.371213i \(0.121058\pi\)
\(398\) 7.94498 + 3.53733i 0.398246 + 0.177310i
\(399\) 16.1549 + 8.16571i 0.808756 + 0.408797i
\(400\) −1.07113 0.423864i −0.0535567 0.0211932i
\(401\) 3.74794 6.49163i 0.187163 0.324177i −0.757140 0.653253i \(-0.773404\pi\)
0.944303 + 0.329076i \(0.106737\pi\)
\(402\) −3.06556 + 8.06381i −0.152896 + 0.402186i
\(403\) −26.6493 + 5.66448i −1.32750 + 0.282168i
\(404\) −4.62951 + 14.2482i −0.230327 + 0.708873i
\(405\) 2.78185 + 19.9314i 0.138231 + 0.990400i
\(406\) −5.63011 17.3277i −0.279417 0.859959i
\(407\) −4.79846 8.31118i −0.237851 0.411970i
\(408\) −17.0909 13.7488i −0.846125 0.680665i
\(409\) 30.1389 13.4187i 1.49027 0.663513i 0.509824 0.860279i \(-0.329710\pi\)
0.980451 + 0.196766i \(0.0630438\pi\)
\(410\) −2.56201 + 1.94505i −0.126529 + 0.0960590i
\(411\) −3.10905 + 0.502725i −0.153358 + 0.0247976i
\(412\) 2.29728 21.8572i 0.113179 1.07683i
\(413\) 8.74443 + 6.35320i 0.430285 + 0.312620i
\(414\) 3.30939 + 15.0895i 0.162647 + 0.741607i
\(415\) −2.25487 + 26.8822i −0.110687 + 1.31960i
\(416\) −2.89577 + 27.5514i −0.141977 + 1.35082i
\(417\) 16.5848 6.42784i 0.812160 0.314772i
\(418\) −2.02309 + 3.50410i −0.0989527 + 0.171391i
\(419\) −17.7269 3.76797i −0.866017 0.184078i −0.246579 0.969123i \(-0.579306\pi\)
−0.619438 + 0.785045i \(0.712640\pi\)
\(420\) −11.5988 + 7.93901i −0.565965 + 0.387384i
\(421\) −23.5464 + 5.00494i −1.14758 + 0.243926i −0.742171 0.670210i \(-0.766204\pi\)
−0.405408 + 0.914136i \(0.632871\pi\)
\(422\) −1.73558 + 5.34155i −0.0844865 + 0.260023i
\(423\) −14.7209 + 13.4279i −0.715752 + 0.652888i
\(424\) 20.2928 0.985503
\(425\) 21.9953 0.925935i 1.06693 0.0449145i
\(426\) 9.04445 + 4.57164i 0.438205 + 0.221497i
\(427\) 3.92875 + 37.3795i 0.190125 + 1.80892i
\(428\) 9.76172 + 10.8415i 0.471851 + 0.524043i
\(429\) 2.97814 + 10.9727i 0.143786 + 0.529766i
\(430\) 6.20000 + 6.60111i 0.298991 + 0.318334i
\(431\) −5.44510 16.7583i −0.262281 0.807218i −0.992307 0.123799i \(-0.960492\pi\)
0.730026 0.683419i \(-0.239508\pi\)
\(432\) 0.923010 0.762365i 0.0444083 0.0366793i
\(433\) 0.572909 + 1.76323i 0.0275322 + 0.0847355i 0.963878 0.266342i \(-0.0858152\pi\)
−0.936346 + 0.351078i \(0.885815\pi\)
\(434\) −1.57823 + 15.0159i −0.0757576 + 0.720786i
\(435\) 22.9793 + 11.0146i 1.10177 + 0.528110i
\(436\) 0.0569525 + 0.541866i 0.00272753 + 0.0259507i
\(437\) −17.7542 + 7.90469i −0.849299 + 0.378132i
\(438\) −4.49261 8.74729i −0.214665 0.417962i
\(439\) −8.78739 3.91240i −0.419399 0.186728i 0.186176 0.982516i \(-0.440390\pi\)
−0.605576 + 0.795788i \(0.707057\pi\)
\(440\) −4.37761 7.22680i −0.208695 0.344524i
\(441\) −0.0464339 7.18809i −0.00221114 0.342290i
\(442\) 6.14136 + 18.9011i 0.292114 + 0.899036i
\(443\) −18.6090 32.2317i −0.884138 1.53137i −0.846698 0.532073i \(-0.821413\pi\)
−0.0374398 0.999299i \(-0.511920\pi\)
\(444\) −13.9677 + 5.41354i −0.662879 + 0.256915i
\(445\) −4.78544 + 15.8554i −0.226851 + 0.751618i
\(446\) 9.45451 + 10.5003i 0.447684 + 0.497203i
\(447\) 11.4149 + 3.01913i 0.539907 + 0.142800i
\(448\) 15.3157 + 6.81899i 0.723599 + 0.322167i
\(449\) −27.8383 −1.31377 −0.656885 0.753991i \(-0.728126\pi\)
−0.656885 + 0.753991i \(0.728126\pi\)
\(450\) −2.17096 + 13.3753i −0.102340 + 0.630519i
\(451\) −2.09206 −0.0985111
\(452\) 12.7920 + 5.69537i 0.601686 + 0.267888i
\(453\) 23.9365 24.0916i 1.12464 1.13192i
\(454\) −2.02420 2.24810i −0.0950003 0.105509i
\(455\) 34.2405 0.720393i 1.60522 0.0337725i
\(456\) 13.2342 + 10.6463i 0.619749 + 0.498557i
\(457\) 4.49089 + 7.77846i 0.210075 + 0.363861i 0.951738 0.306912i \(-0.0992958\pi\)
−0.741663 + 0.670773i \(0.765962\pi\)
\(458\) 6.60342 + 20.3232i 0.308558 + 0.949643i
\(459\) −10.1886 + 20.4845i −0.475562 + 0.956134i
\(460\) 1.26137 15.0379i 0.0588119 0.701147i
\(461\) −10.6691 4.75018i −0.496909 0.221238i 0.142951 0.989730i \(-0.454341\pi\)
−0.639860 + 0.768492i \(0.721008\pi\)
\(462\) 6.29330 + 0.309439i 0.292791 + 0.0143964i
\(463\) 24.8731 11.0742i 1.15595 0.514662i 0.262990 0.964799i \(-0.415291\pi\)
0.892960 + 0.450137i \(0.148625\pi\)
\(464\) −0.158452 1.50757i −0.00735597 0.0699874i
\(465\) −13.6842 16.0843i −0.634588 0.745893i
\(466\) 2.08324 19.8207i 0.0965043 0.918177i
\(467\) −1.51920 4.67562i −0.0703002 0.216362i 0.909734 0.415192i \(-0.136286\pi\)
−0.980034 + 0.198830i \(0.936286\pi\)
\(468\) 17.6377 1.96907i 0.815301 0.0910201i
\(469\) 5.22261 + 16.0736i 0.241158 + 0.742208i
\(470\) −12.1387 + 5.71341i −0.559917 + 0.263540i
\(471\) −25.5510 6.75801i −1.17733 0.311392i
\(472\) 6.78636 + 7.53701i 0.312367 + 0.346919i
\(473\) 0.615664 + 5.85765i 0.0283083 + 0.269335i
\(474\) 0.245359 + 4.40919i 0.0112697 + 0.202521i
\(475\) −17.0319 + 0.716992i −0.781477 + 0.0328978i
\(476\) −15.9789 −0.732394
\(477\) −4.53428 20.6745i −0.207611 0.946621i
\(478\) −4.03879 + 12.4301i −0.184730 + 0.568541i
\(479\) −34.0425 + 7.23596i −1.55544 + 0.330619i −0.903816 0.427921i \(-0.859246\pi\)
−0.651626 + 0.758541i \(0.725913\pi\)
\(480\) −19.8544 + 8.17946i −0.906223 + 0.373339i
\(481\) 35.7031 + 7.58893i 1.62792 + 0.346026i
\(482\) −4.02413 + 6.97000i −0.183294 + 0.317475i
\(483\) 23.5810 + 18.9698i 1.07297 + 0.863154i
\(484\) −1.14772 + 10.9199i −0.0521692 + 0.496357i
\(485\) −24.8693 + 28.8168i −1.12926 + 1.30850i
\(486\) −11.0854 8.68418i −0.502845 0.393923i
\(487\) 10.2778 + 7.46726i 0.465732 + 0.338374i 0.795775 0.605592i \(-0.207064\pi\)
−0.330044 + 0.943966i \(0.607064\pi\)
\(488\) −3.68643 + 35.0740i −0.166877 + 1.58773i
\(489\) −0.433862 + 1.14125i −0.0196199 + 0.0516092i
\(490\) 1.39849 4.63357i 0.0631774 0.209323i
\(491\) 10.3803 4.62163i 0.468458 0.208571i −0.158911 0.987293i \(-0.550798\pi\)
0.627369 + 0.778722i \(0.284132\pi\)
\(492\) −0.500425 + 3.22698i −0.0225609 + 0.145484i
\(493\) 14.4849 + 25.0885i 0.652366 + 1.12993i
\(494\) −4.75552 14.6360i −0.213961 0.658504i
\(495\) −6.38460 + 6.07475i −0.286967 + 0.273040i
\(496\) −0.388194 + 1.19474i −0.0174304 + 0.0536454i
\(497\) 19.4199 4.12782i 0.871101 0.185158i
\(498\) −11.9267 14.6314i −0.534450 0.655650i
\(499\) −9.68467 + 16.7743i −0.433545 + 0.750923i −0.997176 0.0751046i \(-0.976071\pi\)
0.563630 + 0.826027i \(0.309404\pi\)
\(500\) 5.88231 11.8581i 0.263065 0.530309i
\(501\) −0.434607 7.81005i −0.0194168 0.348927i
\(502\) 10.2340 + 4.55647i 0.456766 + 0.203365i
\(503\) 5.93488 18.2657i 0.264623 0.814427i −0.727157 0.686471i \(-0.759159\pi\)
0.991780 0.127955i \(-0.0408413\pi\)
\(504\) 5.33196 25.9067i 0.237504 1.15397i
\(505\) 26.0850 + 10.9623i 1.16077 + 0.487815i
\(506\) −4.52662 + 5.02732i −0.201233 + 0.223491i
\(507\) −18.4977 9.34991i −0.821511 0.415244i
\(508\) −20.2761 4.30982i −0.899607 0.191217i
\(509\) −13.1641 + 5.86104i −0.583489 + 0.259786i −0.677182 0.735815i \(-0.736799\pi\)
0.0936937 + 0.995601i \(0.470133\pi\)
\(510\) −10.6252 + 11.1538i −0.470490 + 0.493897i
\(511\) −17.5992 7.83567i −0.778543 0.346630i
\(512\) 2.10561 + 1.52982i 0.0930558 + 0.0676090i
\(513\) 7.88945 15.8620i 0.348328 0.700325i
\(514\) 22.8800 16.6233i 1.00919 0.733222i
\(515\) −40.7737 7.77410i −1.79670 0.342568i
\(516\) 9.18265 + 0.451507i 0.404244 + 0.0198765i
\(517\) −8.53481 1.81413i −0.375360 0.0797853i
\(518\) 10.1141 17.5181i 0.444388 0.769703i
\(519\) −1.15611 + 7.45516i −0.0507476 + 0.327245i
\(520\) 31.5671 + 6.01873i 1.38431 + 0.263939i
\(521\) 4.65920 14.3396i 0.204123 0.628227i −0.795625 0.605790i \(-0.792857\pi\)
0.999748 0.0224375i \(-0.00714269\pi\)
\(522\) −16.9226 + 5.61960i −0.740682 + 0.245963i
\(523\) 12.9615 9.41708i 0.566767 0.411780i −0.267162 0.963652i \(-0.586086\pi\)
0.833929 + 0.551871i \(0.186086\pi\)
\(524\) −3.10651 5.38064i −0.135709 0.235054i
\(525\) 13.1106 + 23.0829i 0.572192 + 1.00742i
\(526\) −11.5621 + 20.0261i −0.504130 + 0.873178i
\(527\) −2.50947 23.8760i −0.109314 1.04005i
\(528\) 0.506816 + 0.134048i 0.0220563 + 0.00583368i
\(529\) −9.28544 + 1.97368i −0.403715 + 0.0858122i
\(530\) 1.19123 14.2016i 0.0517436 0.616879i
\(531\) 6.16244 8.59812i 0.267427 0.373127i
\(532\) 12.3732 0.536446
\(533\) 5.32419 5.91312i 0.230616 0.256126i
\(534\) −5.29460 10.3088i −0.229120 0.446105i
\(535\) 21.9453 16.6606i 0.948778 0.720299i
\(536\) 1.65765 + 15.7715i 0.0715995 + 0.681223i
\(537\) 0.643891 + 0.0316599i 0.0277860 + 0.00136622i
\(538\) −0.0969116 + 0.922052i −0.00417816 + 0.0397525i
\(539\) 2.54664 1.85024i 0.109692 0.0796956i
\(540\) 7.84304 + 11.3013i 0.337511 + 0.486330i
\(541\) 12.8369 + 9.32652i 0.551900 + 0.400979i 0.828485 0.560011i \(-0.189203\pi\)
−0.276586 + 0.960989i \(0.589203\pi\)
\(542\) 12.0106 13.3391i 0.515900 0.572964i
\(543\) 7.09310 4.63895i 0.304394 0.199076i
\(544\) −23.8781 5.07544i −1.02376 0.217608i
\(545\) 1.02881 0.0216454i 0.0440694 0.000927186i
\(546\) −16.8908 + 17.0003i −0.722859 + 0.727544i
\(547\) 15.4623 3.28661i 0.661119 0.140525i 0.134880 0.990862i \(-0.456935\pi\)
0.526239 + 0.850337i \(0.323602\pi\)
\(548\) −1.74165 + 1.26538i −0.0743996 + 0.0540545i
\(549\) 36.5576 4.08128i 1.56024 0.174185i
\(550\) −5.31456 + 2.63939i −0.226614 + 0.112544i
\(551\) −11.2163 19.4271i −0.477829 0.827624i
\(552\) 17.9423 + 22.0112i 0.763676 + 0.936858i
\(553\) 5.78887 + 6.42919i 0.246168 + 0.273397i
\(554\) 10.9417 + 12.1520i 0.464870 + 0.516290i
\(555\) 7.98353 + 27.1426i 0.338882 + 1.15214i
\(556\) 8.13542 9.03530i 0.345019 0.383182i
\(557\) 32.3933 1.37255 0.686273 0.727344i \(-0.259245\pi\)
0.686273 + 0.727344i \(0.259245\pi\)
\(558\) 14.7057 + 1.44965i 0.622540 + 0.0613685i
\(559\) −18.1233 13.1673i −0.766533 0.556919i
\(560\) 0.760631 1.38389i 0.0321425 0.0584798i
\(561\) −9.89027 + 1.59923i −0.417568 + 0.0675195i
\(562\) −21.2080 + 9.44240i −0.894605 + 0.398304i
\(563\) −16.9161 + 7.53153i −0.712928 + 0.317416i −0.730959 0.682421i \(-0.760927\pi\)
0.0180307 + 0.999837i \(0.494260\pi\)
\(564\) −4.83983 + 12.7309i −0.203793 + 0.536069i
\(565\) 12.7384 23.1761i 0.535909 0.975027i
\(566\) −6.43157 4.67281i −0.270339 0.196413i
\(567\) −27.5854 + 0.356410i −1.15848 + 0.0149678i
\(568\) 18.6292 0.781664
\(569\) −6.48119 + 7.19809i −0.271705 + 0.301759i −0.863520 0.504315i \(-0.831745\pi\)
0.591814 + 0.806074i \(0.298412\pi\)
\(570\) 8.22753 8.63684i 0.344613 0.361757i
\(571\) −20.0597 22.2785i −0.839471 0.932327i 0.159018 0.987276i \(-0.449167\pi\)
−0.998489 + 0.0549489i \(0.982500\pi\)
\(572\) 5.20030 + 5.77552i 0.217436 + 0.241487i
\(573\) 7.17591 1.16032i 0.299778 0.0484732i
\(574\) −2.20480 3.81882i −0.0920264 0.159394i
\(575\) −28.1030 4.74794i −1.17198 0.198003i
\(576\) 6.57676 15.0322i 0.274032 0.626343i
\(577\) −26.5530 + 19.2919i −1.10542 + 0.803131i −0.981936 0.189216i \(-0.939405\pi\)
−0.123480 + 0.992347i \(0.539405\pi\)
\(578\) −2.10828 + 0.448128i −0.0876928 + 0.0186397i
\(579\) −4.94103 1.30685i −0.205342 0.0543110i
\(580\) 17.4149 0.366395i 0.723114 0.0152137i
\(581\) −36.1727 7.68874i −1.50070 0.318983i
\(582\) −1.47987 26.5939i −0.0613427 1.10235i
\(583\) 6.20205 6.88807i 0.256862 0.285275i
\(584\) −14.6242 10.6251i −0.605155 0.439671i
\(585\) −0.921503 33.5058i −0.0380995 1.38529i
\(586\) −4.63843 + 3.37002i −0.191612 + 0.139214i
\(587\) 0.106692 1.01511i 0.00440367 0.0418981i −0.992099 0.125454i \(-0.959961\pi\)
0.996503 + 0.0835562i \(0.0266278\pi\)
\(588\) −2.24482 4.37076i −0.0925749 0.180247i
\(589\) 1.94319 + 18.4882i 0.0800677 + 0.761793i
\(590\) 5.67306 4.30691i 0.233556 0.177313i
\(591\) 11.8551 + 0.582912i 0.487655 + 0.0239778i
\(592\) 1.12615 1.25072i 0.0462847 0.0514043i
\(593\) 4.83840 0.198689 0.0993446 0.995053i \(-0.468325\pi\)
0.0993446 + 0.995053i \(0.468325\pi\)
\(594\) 0.263053 6.16105i 0.0107932 0.252791i
\(595\) −2.52253 + 30.0732i −0.103413 + 1.23288i
\(596\) 7.89460 1.67805i 0.323375 0.0687355i
\(597\) −4.36778 16.0927i −0.178761 0.658630i
\(598\) −2.68947 25.5886i −0.109981 1.04640i
\(599\) −4.41032 + 7.63890i −0.180201 + 0.312117i −0.941949 0.335756i \(-0.891008\pi\)
0.761748 + 0.647874i \(0.224341\pi\)
\(600\) 7.52991 + 23.7436i 0.307407 + 0.969328i
\(601\) 5.73110 + 9.92656i 0.233777 + 0.404913i 0.958916 0.283689i \(-0.0915582\pi\)
−0.725140 + 0.688602i \(0.758225\pi\)
\(602\) −10.0437 + 7.29714i −0.409349 + 0.297409i
\(603\) 15.6978 5.21286i 0.639263 0.212284i
\(604\) 7.17358 22.0780i 0.291889 0.898341i
\(605\) 20.3705 + 3.88394i 0.828180 + 0.157905i
\(606\) −18.4609 + 7.15498i −0.749924 + 0.290651i
\(607\) −18.0174 + 31.2070i −0.731302 + 1.26665i 0.225025 + 0.974353i \(0.427754\pi\)
−0.956327 + 0.292299i \(0.905580\pi\)
\(608\) 18.4898 + 3.93014i 0.749862 + 0.159388i
\(609\) −18.9311 + 29.3585i −0.767127 + 1.18967i
\(610\) 24.3297 + 4.63882i 0.985082 + 0.187820i
\(611\) 26.8483 19.5064i 1.08617 0.789145i
\(612\) 0.101020 + 15.6382i 0.00408350 + 0.632137i
\(613\) −15.2951 11.1125i −0.617761 0.448830i 0.234378 0.972146i \(-0.424695\pi\)
−0.852139 + 0.523316i \(0.824695\pi\)
\(614\) −21.3519 9.50648i −0.861693 0.383651i
\(615\) 5.99434 + 1.45125i 0.241715 + 0.0585202i
\(616\) 10.5813 4.71108i 0.426331 0.189815i
\(617\) 24.4055 + 5.18754i 0.982527 + 0.208842i 0.671051 0.741412i \(-0.265843\pi\)
0.311476 + 0.950254i \(0.399177\pi\)
\(618\) 24.3078 15.8976i 0.977805 0.639493i
\(619\) −8.91589 + 9.90210i −0.358360 + 0.397999i −0.895185 0.445695i \(-0.852957\pi\)
0.536825 + 0.843693i \(0.319623\pi\)
\(620\) −13.3077 5.59259i −0.534450 0.224604i
\(621\) 18.4162 23.1981i 0.739015 0.930908i
\(622\) 0.936081 2.88096i 0.0375334 0.115516i
\(623\) −20.7409 9.23443i −0.830965 0.369970i
\(624\) −1.66870 + 1.09135i −0.0668017 + 0.0436889i
\(625\) −21.3889 12.9428i −0.855555 0.517712i
\(626\) 4.00776 6.94164i 0.160182 0.277444i
\(627\) 7.65847 1.23835i 0.305850 0.0494550i
\(628\) −17.6712 + 3.75613i −0.705158 + 0.149886i
\(629\) −9.93916 + 30.5896i −0.396300 + 1.21969i
\(630\) −17.8174 5.25228i −0.709864 0.209256i
\(631\) 12.8766 + 39.6300i 0.512608 + 1.57764i 0.787593 + 0.616195i \(0.211327\pi\)
−0.274986 + 0.961448i \(0.588673\pi\)
\(632\) 4.05887 + 7.03017i 0.161453 + 0.279645i
\(633\) 10.0409 3.89159i 0.399090 0.154677i
\(634\) −26.3657 + 11.7388i −1.04712 + 0.466207i
\(635\) −11.3122 + 37.4803i −0.448911 + 1.48736i
\(636\) −9.14125 11.2142i −0.362474 0.444674i
\(637\) −1.25145 + 11.9068i −0.0495843 + 0.471763i
\(638\) −6.31724 4.58974i −0.250102 0.181710i
\(639\) −4.16257 18.9797i −0.164669 0.750824i
\(640\) −8.98178 + 10.4074i −0.355036 + 0.411390i
\(641\) 1.38523 13.1796i 0.0547135 0.520564i −0.932501 0.361167i \(-0.882378\pi\)
0.987215 0.159397i \(-0.0509549\pi\)
\(642\) −2.95452 + 19.0522i −0.116606 + 0.751930i
\(643\) −18.9481 + 32.8190i −0.747239 + 1.29426i 0.201902 + 0.979406i \(0.435288\pi\)
−0.949141 + 0.314851i \(0.898046\pi\)
\(644\) 20.2350 + 4.30108i 0.797370 + 0.169486i
\(645\) 2.29938 17.2109i 0.0905382 0.677680i
\(646\) 13.2643 2.81942i 0.521878 0.110929i
\(647\) 2.22129 6.83642i 0.0873278 0.268767i −0.897851 0.440300i \(-0.854872\pi\)
0.985178 + 0.171533i \(0.0548720\pi\)
\(648\) −25.3879 5.05447i −0.997332 0.198558i
\(649\) 4.63243 0.181839
\(650\) 6.06519 21.7385i 0.237896 0.852655i
\(651\) 24.2278 15.8452i 0.949563 0.621023i
\(652\) 0.0872367 + 0.830002i 0.00341645 + 0.0325054i
\(653\) −26.4265 29.3496i −1.03415 1.14854i −0.988751 0.149569i \(-0.952211\pi\)
−0.0453968 0.998969i \(-0.514455\pi\)
\(654\) −0.507511 + 0.510800i −0.0198452 + 0.0199739i
\(655\) −10.6170 + 4.99720i −0.414842 + 0.195257i
\(656\) −0.113373 0.348927i −0.00442648 0.0136233i
\(657\) −7.55732 + 17.2735i −0.294839 + 0.673902i
\(658\) −5.68325 17.4912i −0.221556 0.681879i
\(659\) 0.726501 6.91219i 0.0283004 0.269261i −0.971217 0.238197i \(-0.923444\pi\)
0.999517 0.0310641i \(-0.00988960\pi\)
\(660\) −2.02172 + 5.67462i −0.0786953 + 0.220884i
\(661\) 3.40322 + 32.3795i 0.132370 + 1.25942i 0.835952 + 0.548803i \(0.184916\pi\)
−0.703582 + 0.710614i \(0.748417\pi\)
\(662\) −10.1814 + 4.53306i −0.395712 + 0.176182i
\(663\) 20.6502 32.0244i 0.801986 1.24373i
\(664\) −31.6999 14.1137i −1.23020 0.547719i
\(665\) 1.95330 23.2870i 0.0757458 0.903030i
\(666\) −17.2085 9.78767i −0.666816 0.379265i
\(667\) −11.5898 35.6698i −0.448760 1.38114i
\(668\) −2.67341 4.63048i −0.103437 0.179159i
\(669\) 4.15156 26.7712i 0.160508 1.03504i
\(670\) 11.1348 0.234267i 0.430174 0.00905051i
\(671\) 10.7787 + 11.9709i 0.416106 + 0.462133i
\(672\) −7.71051 28.4087i −0.297439 1.09589i
\(673\) −6.96780 3.10226i −0.268589 0.119583i 0.268023 0.963412i \(-0.413630\pi\)
−0.536612 + 0.843829i \(0.680296\pi\)
\(674\) −6.47112 −0.249258
\(675\) 22.5078 12.9769i 0.866324 0.499482i
\(676\) −14.1676 −0.544906
\(677\) −5.26216 2.34286i −0.202241 0.0900436i 0.303117 0.952953i \(-0.401973\pi\)
−0.505358 + 0.862910i \(0.668639\pi\)
\(678\) 4.84726 + 17.8593i 0.186158 + 0.685882i
\(679\) −34.9154 38.7775i −1.33993 1.48814i
\(680\) −8.18214 + 27.1096i −0.313771 + 1.03961i
\(681\) −0.888842 + 5.73169i −0.0340605 + 0.219639i
\(682\) 3.23550 + 5.60406i 0.123894 + 0.214590i
\(683\) 7.75429 + 23.8652i 0.296709 + 0.913178i 0.982642 + 0.185513i \(0.0593946\pi\)
−0.685932 + 0.727665i \(0.740605\pi\)
\(684\) −0.0782244 12.1093i −0.00299099 0.463012i
\(685\) 2.10657 + 3.47763i 0.0804878 + 0.132874i
\(686\) −11.6464 5.18531i −0.444661 0.197976i
\(687\) 22.2039 34.4339i 0.847130 1.31374i
\(688\) −0.943614 + 0.420124i −0.0359750 + 0.0160171i
\(689\) 3.68492 + 35.0597i 0.140384 + 1.33567i
\(690\) 16.4575 11.2646i 0.626526 0.428836i
\(691\) −3.55575 + 33.8307i −0.135267 + 1.28698i 0.690651 + 0.723188i \(0.257324\pi\)
−0.825918 + 0.563791i \(0.809342\pi\)
\(692\) 1.59356 + 4.90449i 0.0605782 + 0.186441i
\(693\) −7.16403 9.72767i −0.272139 0.369523i
\(694\) 0.0887512 + 0.273148i 0.00336895 + 0.0103686i
\(695\) −15.7206 16.7377i −0.596316 0.634895i
\(696\) −23.1028 + 23.2525i −0.875709 + 0.881385i
\(697\) 4.69158 + 5.21053i 0.177706 + 0.197363i
\(698\) −1.34766 12.8222i −0.0510098 0.485326i
\(699\) −31.9803 + 20.9154i −1.20961 + 0.791095i
\(700\) 15.1158 + 10.0389i 0.571324 + 0.379435i
\(701\) −43.0578 −1.62627 −0.813135 0.582076i \(-0.802241\pi\)
−0.813135 + 0.582076i \(0.802241\pi\)
\(702\) 16.7445 + 16.4231i 0.631981 + 0.619851i
\(703\) 7.69632 23.6868i 0.290272 0.893366i
\(704\) 7.02824 1.49390i 0.264887 0.0563034i
\(705\) 23.1962 + 11.1186i 0.873620 + 0.418750i
\(706\) 13.1725 + 2.79990i 0.495753 + 0.105375i
\(707\) −19.3939 + 33.5912i −0.729383 + 1.26333i
\(708\) 1.10809 7.14549i 0.0416445 0.268544i
\(709\) −0.358984 + 3.41550i −0.0134819 + 0.128272i −0.999193 0.0401750i \(-0.987208\pi\)
0.985711 + 0.168447i \(0.0538751\pi\)
\(710\) 1.09357 13.0374i 0.0410410 0.489285i
\(711\) 6.25550 5.70607i 0.234600 0.213995i
\(712\) −17.2348 12.5218i −0.645902 0.469275i
\(713\) −3.24887 + 30.9109i −0.121671 + 1.15762i
\(714\) −13.3425 16.3682i −0.499329 0.612564i
\(715\) 11.6908 8.87548i 0.437210 0.331924i
\(716\) 0.402566 0.179234i 0.0150446 0.00669829i
\(717\) 23.3658 9.05598i 0.872611 0.338202i
\(718\) 6.86806 + 11.8958i 0.256314 + 0.443948i
\(719\) −3.21496 9.89464i −0.119898 0.369008i 0.873039 0.487650i \(-0.162146\pi\)
−0.992937 + 0.118642i \(0.962146\pi\)
\(720\) −1.35918 0.735662i −0.0506538 0.0274165i
\(721\) 17.5835 54.1163i 0.654842 2.01540i
\(722\) 6.51759 1.38536i 0.242560 0.0515576i
\(723\) 15.2334 2.46320i 0.566538 0.0916075i
\(724\) 2.89667 5.01718i 0.107654 0.186462i
\(725\) 2.05964 32.8336i 0.0764930 1.21941i
\(726\) −12.1442 + 7.94243i −0.450714 + 0.294771i
\(727\) −22.3505 9.95109i −0.828934 0.369065i −0.0520001 0.998647i \(-0.516560\pi\)
−0.776934 + 0.629582i \(0.783226\pi\)
\(728\) −13.6132 + 41.8970i −0.504538 + 1.55281i
\(729\) 0.523207 + 26.9949i 0.0193780 + 0.999812i
\(730\) −8.29433 + 9.61086i −0.306987 + 0.355714i
\(731\) 13.2086 14.6696i 0.488536 0.542574i
\(732\) 21.0433 13.7625i 0.777785 0.508678i
\(733\) 23.4045 + 4.97477i 0.864464 + 0.183747i 0.618743 0.785593i \(-0.287642\pi\)
0.245721 + 0.969341i \(0.420975\pi\)
\(734\) 6.95549 3.09678i 0.256732 0.114304i
\(735\) −8.58037 + 3.53488i −0.316492 + 0.130386i
\(736\) 28.8719 + 12.8546i 1.06423 + 0.473827i
\(737\) 5.86001 + 4.25755i 0.215856 + 0.156829i
\(738\) −3.72345 + 2.18192i −0.137062 + 0.0803177i
\(739\) 34.3422 24.9510i 1.26330 0.917839i 0.264382 0.964418i \(-0.414832\pi\)
0.998915 + 0.0465793i \(0.0148320\pi\)
\(740\) 13.2399 + 14.0965i 0.486710 + 0.518197i
\(741\) −15.9903 + 24.7979i −0.587419 + 0.910974i
\(742\) 19.1097 + 4.06189i 0.701538 + 0.149117i
\(743\) −6.21697 + 10.7681i −0.228079 + 0.395044i −0.957239 0.289300i \(-0.906578\pi\)
0.729160 + 0.684343i \(0.239911\pi\)
\(744\) 25.3279 9.81647i 0.928568 0.359889i
\(745\) −1.91189 15.1229i −0.0700462 0.554062i
\(746\) 9.01486 27.7449i 0.330058 1.01581i
\(747\) −7.29610 + 35.4499i −0.266950 + 1.29705i
\(748\) −5.54040 + 4.02533i −0.202577 + 0.147181i
\(749\) 18.8855 + 32.7106i 0.690060 + 1.19522i
\(750\) 17.0587 3.87592i 0.622895 0.141528i
\(751\) −21.2022 + 36.7234i −0.773681 + 1.34005i 0.161852 + 0.986815i \(0.448253\pi\)
−0.935533 + 0.353240i \(0.885080\pi\)
\(752\) −0.159948 1.52180i −0.00583270 0.0554945i
\(753\) −5.62618 20.7291i −0.205029 0.755412i
\(754\) 29.0498 6.17473i 1.05793 0.224870i
\(755\) −40.4195 16.9864i −1.47102 0.618198i
\(756\) −16.7185 + 8.72357i −0.608046 + 0.317273i
\(757\) 28.4481 1.03397 0.516983 0.855996i \(-0.327055\pi\)
0.516983 + 0.855996i \(0.327055\pi\)
\(758\) 11.7126 13.0082i 0.425421 0.472478i
\(759\) 12.9550 + 0.636994i 0.470238 + 0.0231214i
\(760\) 6.33579 20.9921i 0.229823 0.761465i
\(761\) −2.86142 27.2246i −0.103726 0.986890i −0.915336 0.402690i \(-0.868075\pi\)
0.811610 0.584199i \(-0.198591\pi\)
\(762\) −12.5158 24.3688i −0.453400 0.882787i
\(763\) −0.147453 + 1.40293i −0.00533817 + 0.0507893i
\(764\) 4.01985 2.92059i 0.145433 0.105663i
\(765\) 29.4479 + 2.27861i 1.06469 + 0.0823833i
\(766\) 19.3203 + 14.0370i 0.698070 + 0.507178i
\(767\) −11.7893 + 13.0934i −0.425688 + 0.472775i
\(768\) −1.58715 28.5216i −0.0572712 1.02919i
\(769\) −22.8442 4.85569i −0.823783 0.175101i −0.223312 0.974747i \(-0.571687\pi\)
−0.600471 + 0.799646i \(0.705020\pi\)
\(770\) −2.67585 7.68171i −0.0964309 0.276830i