Properties

Label 637.2.bl.b.625.1
Level $637$
Weight $2$
Character 637.625
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 625.1
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.b.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.30989 + 1.57486i) q^{2} +(0.887307 - 0.823300i) q^{3} +(2.12474 - 5.41374i) q^{4} +(-0.535995 - 0.165332i) q^{5} +(-0.753001 + 3.29911i) q^{6} +(2.63410 + 0.247988i) q^{7} +(2.37377 + 10.4002i) q^{8} +(-0.114700 + 1.53057i) q^{9} +O(q^{10})\) \(q+(-2.30989 + 1.57486i) q^{2} +(0.887307 - 0.823300i) q^{3} +(2.12474 - 5.41374i) q^{4} +(-0.535995 - 0.165332i) q^{5} +(-0.753001 + 3.29911i) q^{6} +(2.63410 + 0.247988i) q^{7} +(2.37377 + 10.4002i) q^{8} +(-0.114700 + 1.53057i) q^{9} +(1.49846 - 0.462215i) q^{10} +(0.286387 + 3.82157i) q^{11} +(-2.57184 - 6.55295i) q^{12} +(-0.900969 - 0.433884i) q^{13} +(-6.47504 + 3.57551i) q^{14} +(-0.611710 + 0.294584i) q^{15} +(-13.3354 - 12.3734i) q^{16} +(4.09173 + 0.616729i) q^{17} +(-2.14548 - 3.71609i) q^{18} +(1.37416 - 2.38012i) q^{19} +(-2.03392 + 2.55045i) q^{20} +(2.54143 - 1.94862i) q^{21} +(-6.67994 - 8.37638i) q^{22} +(-4.27868 + 0.644907i) q^{23} +(10.6687 + 7.27380i) q^{24} +(-3.87124 - 2.63937i) q^{25} +(2.76444 - 0.416673i) q^{26} +(3.42241 + 4.29157i) q^{27} +(6.93932 - 13.7334i) q^{28} +(-2.87142 + 3.60064i) q^{29} +(0.949056 - 1.64381i) q^{30} +(4.15469 + 7.19614i) q^{31} +(29.1927 + 4.40009i) q^{32} +(3.40041 + 3.15512i) q^{33} +(-10.4227 + 5.01931i) q^{34} +(-1.37087 - 0.568423i) q^{35} +(8.04241 + 3.87302i) q^{36} +(2.52339 + 6.42948i) q^{37} +(0.574182 + 7.66192i) q^{38} +(-1.15665 + 0.356780i) q^{39} +(0.447156 - 5.96689i) q^{40} +(-1.10008 - 4.81975i) q^{41} +(-2.80162 + 8.50347i) q^{42} +(-0.0580847 + 0.254486i) q^{43} +(21.2975 + 6.56940i) q^{44} +(0.314532 - 0.801414i) q^{45} +(8.86764 - 8.22797i) q^{46} +(-2.06866 + 1.41039i) q^{47} -22.0196 q^{48} +(6.87700 + 1.30645i) q^{49} +13.0988 q^{50} +(4.13837 - 2.82149i) q^{51} +(-4.26326 + 3.95572i) q^{52} +(3.80798 - 9.70257i) q^{53} +(-14.6640 - 4.52325i) q^{54} +(0.478327 - 2.09569i) q^{55} +(3.67363 + 27.9837i) q^{56} +(-0.740249 - 3.24324i) q^{57} +(0.962162 - 12.8392i) q^{58} +(6.82284 - 2.10457i) q^{59} +(0.295079 + 3.93755i) q^{60} +(5.35236 + 13.6376i) q^{61} +(-20.9298 - 10.0792i) q^{62} +(-0.681696 + 4.00324i) q^{63} +(-41.5813 + 20.0245i) q^{64} +(0.411180 + 0.381519i) q^{65} +(-12.8234 - 1.93282i) q^{66} +(-0.00818581 - 0.0141782i) q^{67} +(12.0327 - 20.8412i) q^{68} +(-3.26555 + 4.09487i) q^{69} +(4.06173 - 0.845921i) q^{70} +(6.51391 + 8.16818i) q^{71} +(-16.1904 + 2.44032i) q^{72} +(-4.34693 - 2.96368i) q^{73} +(-15.9543 - 10.8774i) q^{74} +(-5.60797 + 0.845265i) q^{75} +(-9.96562 - 12.4965i) q^{76} +(-0.193330 + 10.1374i) q^{77} +(2.10986 - 2.64568i) q^{78} +(2.98467 - 5.16960i) q^{79} +(5.10196 + 8.83686i) q^{80} +(2.01683 + 0.303988i) q^{81} +(10.1315 + 9.40064i) q^{82} +(-7.99426 + 3.84983i) q^{83} +(-5.14945 - 17.8989i) q^{84} +(-2.09118 - 1.00706i) q^{85} +(-0.266609 - 0.679309i) q^{86} +(0.416583 + 5.55891i) q^{87} +(-39.0651 + 12.0500i) q^{88} +(-0.439579 + 5.86577i) q^{89} +(0.535578 + 2.34652i) q^{90} +(-2.26565 - 1.36632i) q^{91} +(-5.59971 + 24.5339i) q^{92} +(9.61107 + 2.96462i) q^{93} +(2.55721 - 6.51568i) q^{94} +(-1.13005 + 1.04854i) q^{95} +(29.5255 - 20.1301i) q^{96} +13.1301 q^{97} +(-17.9426 + 7.81253i) q^{98} -5.88203 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} + O(q^{10}) \) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.30989 + 1.57486i −1.63334 + 1.11359i −0.731183 + 0.682181i \(0.761031\pi\)
−0.902156 + 0.431410i \(0.858016\pi\)
\(3\) 0.887307 0.823300i 0.512287 0.475333i −0.381155 0.924511i \(-0.624474\pi\)
0.893442 + 0.449178i \(0.148283\pi\)
\(4\) 2.12474 5.41374i 1.06237 2.70687i
\(5\) −0.535995 0.165332i −0.239704 0.0739389i 0.172575 0.984996i \(-0.444791\pi\)
−0.412280 + 0.911057i \(0.635267\pi\)
\(6\) −0.753001 + 3.29911i −0.307411 + 1.34686i
\(7\) 2.63410 + 0.247988i 0.995598 + 0.0937307i
\(8\) 2.37377 + 10.4002i 0.839253 + 3.67701i
\(9\) −0.114700 + 1.53057i −0.0382335 + 0.510190i
\(10\) 1.49846 0.462215i 0.473856 0.146165i
\(11\) 0.286387 + 3.82157i 0.0863489 + 1.15225i 0.857114 + 0.515127i \(0.172255\pi\)
−0.770765 + 0.637119i \(0.780126\pi\)
\(12\) −2.57184 6.55295i −0.742427 1.89167i
\(13\) −0.900969 0.433884i −0.249884 0.120338i
\(14\) −6.47504 + 3.57551i −1.73053 + 0.955595i
\(15\) −0.611710 + 0.294584i −0.157943 + 0.0760613i
\(16\) −13.3354 12.3734i −3.33384 3.09336i
\(17\) 4.09173 + 0.616729i 0.992390 + 0.149579i 0.625114 0.780533i \(-0.285052\pi\)
0.367276 + 0.930112i \(0.380291\pi\)
\(18\) −2.14548 3.71609i −0.505695 0.875890i
\(19\) 1.37416 2.38012i 0.315254 0.546037i −0.664237 0.747522i \(-0.731243\pi\)
0.979492 + 0.201485i \(0.0645768\pi\)
\(20\) −2.03392 + 2.55045i −0.454797 + 0.570298i
\(21\) 2.54143 1.94862i 0.554585 0.425223i
\(22\) −6.67994 8.37638i −1.42417 1.78585i
\(23\) −4.27868 + 0.644907i −0.892166 + 0.134472i −0.579098 0.815258i \(-0.696595\pi\)
−0.313069 + 0.949731i \(0.601357\pi\)
\(24\) 10.6687 + 7.27380i 2.17774 + 1.48476i
\(25\) −3.87124 2.63937i −0.774248 0.527873i
\(26\) 2.76444 0.416673i 0.542152 0.0817163i
\(27\) 3.42241 + 4.29157i 0.658644 + 0.825913i
\(28\) 6.93932 13.7334i 1.31141 2.59538i
\(29\) −2.87142 + 3.60064i −0.533209 + 0.668622i −0.973355 0.229304i \(-0.926355\pi\)
0.440146 + 0.897926i \(0.354927\pi\)
\(30\) 0.949056 1.64381i 0.173273 0.300118i
\(31\) 4.15469 + 7.19614i 0.746205 + 1.29246i 0.949630 + 0.313374i \(0.101459\pi\)
−0.203425 + 0.979091i \(0.565207\pi\)
\(32\) 29.1927 + 4.40009i 5.16059 + 0.777833i
\(33\) 3.40041 + 3.15512i 0.591936 + 0.549236i
\(34\) −10.4227 + 5.01931i −1.78748 + 0.860804i
\(35\) −1.37087 0.568423i −0.231719 0.0960811i
\(36\) 8.04241 + 3.87302i 1.34040 + 0.645503i
\(37\) 2.52339 + 6.42948i 0.414842 + 1.05700i 0.973720 + 0.227750i \(0.0731369\pi\)
−0.558878 + 0.829250i \(0.688768\pi\)
\(38\) 0.574182 + 7.66192i 0.0931446 + 1.24293i
\(39\) −1.15665 + 0.356780i −0.185213 + 0.0571305i
\(40\) 0.447156 5.96689i 0.0707016 0.943448i
\(41\) −1.10008 4.81975i −0.171803 0.752719i −0.985256 0.171088i \(-0.945272\pi\)
0.813453 0.581631i \(-0.197585\pi\)
\(42\) −2.80162 + 8.50347i −0.432300 + 1.31211i
\(43\) −0.0580847 + 0.254486i −0.00885783 + 0.0388087i −0.979164 0.203073i \(-0.934907\pi\)
0.970306 + 0.241881i \(0.0777644\pi\)
\(44\) 21.2975 + 6.56940i 3.21072 + 0.990374i
\(45\) 0.314532 0.801414i 0.0468877 0.119468i
\(46\) 8.86764 8.22797i 1.30746 1.21315i
\(47\) −2.06866 + 1.41039i −0.301745 + 0.205726i −0.704721 0.709484i \(-0.748928\pi\)
0.402977 + 0.915210i \(0.367976\pi\)
\(48\) −22.0196 −3.17826
\(49\) 6.87700 + 1.30645i 0.982429 + 0.186636i
\(50\) 13.0988 1.85244
\(51\) 4.13837 2.82149i 0.579488 0.395088i
\(52\) −4.26326 + 3.95572i −0.591207 + 0.548560i
\(53\) 3.80798 9.70257i 0.523066 1.33275i −0.388444 0.921473i \(-0.626987\pi\)
0.911510 0.411278i \(-0.134918\pi\)
\(54\) −14.6640 4.52325i −1.99552 0.615536i
\(55\) 0.478327 2.09569i 0.0644976 0.282583i
\(56\) 3.67363 + 27.9837i 0.490910 + 3.73949i
\(57\) −0.740249 3.24324i −0.0980484 0.429578i
\(58\) 0.962162 12.8392i 0.126338 1.68586i
\(59\) 6.82284 2.10457i 0.888258 0.273991i 0.183145 0.983086i \(-0.441372\pi\)
0.705114 + 0.709094i \(0.250896\pi\)
\(60\) 0.295079 + 3.93755i 0.0380945 + 0.508336i
\(61\) 5.35236 + 13.6376i 0.685300 + 1.74612i 0.665599 + 0.746310i \(0.268176\pi\)
0.0197014 + 0.999806i \(0.493728\pi\)
\(62\) −20.9298 10.0792i −2.65808 1.28007i
\(63\) −0.681696 + 4.00324i −0.0858857 + 0.504361i
\(64\) −41.5813 + 20.0245i −5.19766 + 2.50306i
\(65\) 0.411180 + 0.381519i 0.0510005 + 0.0473216i
\(66\) −12.8234 1.93282i −1.57846 0.237914i
\(67\) −0.00818581 0.0141782i −0.00100006 0.00173215i 0.865525 0.500866i \(-0.166985\pi\)
−0.866525 + 0.499134i \(0.833652\pi\)
\(68\) 12.0327 20.8412i 1.45917 2.52736i
\(69\) −3.26555 + 4.09487i −0.393126 + 0.492964i
\(70\) 4.06173 0.845921i 0.485470 0.101107i
\(71\) 6.51391 + 8.16818i 0.773059 + 0.969385i 0.999990 0.00452569i \(-0.00144058\pi\)
−0.226931 + 0.973911i \(0.572869\pi\)
\(72\) −16.1904 + 2.44032i −1.90806 + 0.287594i
\(73\) −4.34693 2.96368i −0.508769 0.346873i 0.281572 0.959540i \(-0.409144\pi\)
−0.790341 + 0.612667i \(0.790097\pi\)
\(74\) −15.9543 10.8774i −1.85464 1.26448i
\(75\) −5.60797 + 0.845265i −0.647552 + 0.0976028i
\(76\) −9.96562 12.4965i −1.14313 1.43345i
\(77\) −0.193330 + 10.1374i −0.0220320 + 1.15527i
\(78\) 2.10986 2.64568i 0.238895 0.299565i
\(79\) 2.98467 5.16960i 0.335802 0.581626i −0.647837 0.761779i \(-0.724326\pi\)
0.983639 + 0.180153i \(0.0576594\pi\)
\(80\) 5.10196 + 8.83686i 0.570417 + 0.987991i
\(81\) 2.01683 + 0.303988i 0.224092 + 0.0337764i
\(82\) 10.1315 + 9.40064i 1.11883 + 1.03813i
\(83\) −7.99426 + 3.84983i −0.877484 + 0.422574i −0.817705 0.575637i \(-0.804754\pi\)
−0.0597793 + 0.998212i \(0.519040\pi\)
\(84\) −5.14945 17.8989i −0.561851 1.95293i
\(85\) −2.09118 1.00706i −0.226820 0.109231i
\(86\) −0.266609 0.679309i −0.0287492 0.0732517i
\(87\) 0.416583 + 5.55891i 0.0446624 + 0.595978i
\(88\) −39.0651 + 12.0500i −4.16435 + 1.28453i
\(89\) −0.439579 + 5.86577i −0.0465953 + 0.621771i 0.924207 + 0.381891i \(0.124727\pi\)
−0.970803 + 0.239880i \(0.922892\pi\)
\(90\) 0.535578 + 2.34652i 0.0564549 + 0.247345i
\(91\) −2.26565 1.36632i −0.237504 0.143230i
\(92\) −5.59971 + 24.5339i −0.583810 + 2.55784i
\(93\) 9.61107 + 2.96462i 0.996622 + 0.307417i
\(94\) 2.55721 6.51568i 0.263757 0.672041i
\(95\) −1.13005 + 1.04854i −0.115941 + 0.107578i
\(96\) 29.5255 20.1301i 3.01343 2.05452i
\(97\) 13.1301 1.33316 0.666578 0.745436i \(-0.267759\pi\)
0.666578 + 0.745436i \(0.267759\pi\)
\(98\) −17.9426 + 7.81253i −1.81248 + 0.789185i
\(99\) −5.88203 −0.591166
\(100\) −22.5142 + 15.3499i −2.25142 + 1.53499i
\(101\) 9.89295 9.17932i 0.984386 0.913377i −0.0118615 0.999930i \(-0.503776\pi\)
0.996247 + 0.0865531i \(0.0275852\pi\)
\(102\) −5.11574 + 13.0347i −0.506533 + 1.29063i
\(103\) −7.81184 2.40963i −0.769723 0.237428i −0.115070 0.993357i \(-0.536709\pi\)
−0.654653 + 0.755929i \(0.727185\pi\)
\(104\) 2.37377 10.4002i 0.232767 1.01982i
\(105\) −1.68436 + 0.624268i −0.164377 + 0.0609223i
\(106\) 6.48415 + 28.4089i 0.629796 + 2.75932i
\(107\) −0.201351 + 2.68684i −0.0194653 + 0.259746i 0.978978 + 0.203967i \(0.0653834\pi\)
−0.998443 + 0.0557795i \(0.982236\pi\)
\(108\) 30.5052 9.40961i 2.93536 0.905440i
\(109\) −0.702594 9.37546i −0.0672963 0.898006i −0.924048 0.382277i \(-0.875140\pi\)
0.856752 0.515729i \(-0.172479\pi\)
\(110\) 2.19553 + 5.59411i 0.209335 + 0.533377i
\(111\) 7.53241 + 3.62742i 0.714945 + 0.344299i
\(112\) −32.0583 35.8999i −3.02922 3.39222i
\(113\) 1.87376 0.902354i 0.176268 0.0848863i −0.343669 0.939091i \(-0.611670\pi\)
0.519937 + 0.854205i \(0.325955\pi\)
\(114\) 6.81754 + 6.32575i 0.638521 + 0.592461i
\(115\) 2.39997 + 0.361738i 0.223799 + 0.0337322i
\(116\) 13.3919 + 23.1955i 1.24341 + 2.15365i
\(117\) 0.767431 1.32923i 0.0709491 0.122887i
\(118\) −12.4456 + 15.6063i −1.14571 + 1.43668i
\(119\) 10.6251 + 2.63923i 0.974001 + 0.241938i
\(120\) −4.51578 5.66261i −0.412232 0.516923i
\(121\) −3.64522 + 0.549428i −0.331383 + 0.0499480i
\(122\) −33.8406 23.0722i −3.06379 2.08885i
\(123\) −4.94421 3.37091i −0.445804 0.303944i
\(124\) 47.7857 7.20253i 4.29128 0.646806i
\(125\) 3.38721 + 4.24743i 0.302962 + 0.379902i
\(126\) −4.72988 10.3206i −0.421371 0.919433i
\(127\) 9.73344 12.2053i 0.863703 1.08305i −0.132073 0.991240i \(-0.542163\pi\)
0.995777 0.0918095i \(-0.0292651\pi\)
\(128\) 34.9901 60.6046i 3.09271 5.35674i
\(129\) 0.157979 + 0.273628i 0.0139093 + 0.0240916i
\(130\) −1.55062 0.233718i −0.135998 0.0204984i
\(131\) 6.52886 + 6.05790i 0.570429 + 0.529281i 0.911793 0.410650i \(-0.134698\pi\)
−0.341364 + 0.939931i \(0.610889\pi\)
\(132\) 24.3060 11.7051i 2.11556 1.01880i
\(133\) 4.20993 5.92870i 0.365047 0.514084i
\(134\) 0.0412370 + 0.0198587i 0.00356233 + 0.00171553i
\(135\) −1.12486 2.86610i −0.0968125 0.246674i
\(136\) 3.29874 + 44.0186i 0.282864 + 3.77456i
\(137\) −5.02780 + 1.55087i −0.429554 + 0.132500i −0.501990 0.864873i \(-0.667399\pi\)
0.0724365 + 0.997373i \(0.476923\pi\)
\(138\) 1.09423 14.6015i 0.0931469 1.24296i
\(139\) −3.05123 13.3683i −0.258802 1.13388i −0.922535 0.385914i \(-0.873886\pi\)
0.663733 0.747970i \(-0.268971\pi\)
\(140\) −5.99003 + 6.21376i −0.506250 + 0.525159i
\(141\) −0.674362 + 2.95457i −0.0567915 + 0.248820i
\(142\) −27.9101 8.60914i −2.34217 0.722463i
\(143\) 1.40009 3.56737i 0.117081 0.298319i
\(144\) 20.4680 18.9915i 1.70566 1.58263i
\(145\) 2.13437 1.45519i 0.177250 0.120847i
\(146\) 14.7083 1.21727
\(147\) 7.17762 4.50262i 0.592000 0.371369i
\(148\) 40.1691 3.30188
\(149\) 6.15152 4.19404i 0.503952 0.343589i −0.284509 0.958673i \(-0.591830\pi\)
0.788461 + 0.615084i \(0.210878\pi\)
\(150\) 11.6226 10.7842i 0.948983 0.880527i
\(151\) −3.87968 + 9.88526i −0.315724 + 0.804451i 0.681626 + 0.731701i \(0.261273\pi\)
−0.997350 + 0.0727508i \(0.976822\pi\)
\(152\) 28.0155 + 8.64165i 2.27236 + 0.700930i
\(153\) −1.41327 + 6.19194i −0.114256 + 0.500589i
\(154\) −15.5184 23.7208i −1.25051 1.91148i
\(155\) −1.03714 4.54400i −0.0833049 0.364983i
\(156\) −0.526067 + 7.01988i −0.0421191 + 0.562040i
\(157\) −13.7543 + 4.24263i −1.09771 + 0.338598i −0.790139 0.612927i \(-0.789992\pi\)
−0.307570 + 0.951526i \(0.599516\pi\)
\(158\) 1.24712 + 16.6416i 0.0992155 + 1.32394i
\(159\) −4.60929 11.7443i −0.365540 0.931381i
\(160\) −14.9196 7.18492i −1.17950 0.568018i
\(161\) −11.4304 + 0.637691i −0.900843 + 0.0502571i
\(162\) −5.13738 + 2.47403i −0.403631 + 0.194378i
\(163\) −4.33500 4.02229i −0.339543 0.315050i 0.491909 0.870647i \(-0.336299\pi\)
−0.831452 + 0.555597i \(0.812490\pi\)
\(164\) −28.4303 4.28517i −2.22003 0.334616i
\(165\) −1.30096 2.25333i −0.101279 0.175421i
\(166\) 12.4029 21.4825i 0.962654 1.66737i
\(167\) −6.15060 + 7.71261i −0.475948 + 0.596819i −0.960616 0.277878i \(-0.910369\pi\)
0.484669 + 0.874698i \(0.338940\pi\)
\(168\) 26.2987 + 21.8057i 2.02899 + 1.68234i
\(169\) 0.623490 + 0.781831i 0.0479608 + 0.0601409i
\(170\) 6.41637 0.967112i 0.492113 0.0741741i
\(171\) 3.48532 + 2.37625i 0.266529 + 0.181717i
\(172\) 1.25430 + 0.855170i 0.0956398 + 0.0652061i
\(173\) −21.6217 + 3.25894i −1.64387 + 0.247773i −0.904793 0.425852i \(-0.859974\pi\)
−0.739073 + 0.673625i \(0.764736\pi\)
\(174\) −9.71675 12.1844i −0.736625 0.923698i
\(175\) −9.54271 7.91238i −0.721361 0.598120i
\(176\) 43.4668 54.5056i 3.27643 4.10852i
\(177\) 4.32126 7.48465i 0.324806 0.562581i
\(178\) −8.22237 14.2416i −0.616293 1.06745i
\(179\) −19.4636 2.93366i −1.45477 0.219272i −0.626424 0.779482i \(-0.715482\pi\)
−0.828350 + 0.560210i \(0.810720\pi\)
\(180\) −3.67035 3.40559i −0.273572 0.253838i
\(181\) 16.4907 7.94151i 1.22575 0.590288i 0.294839 0.955547i \(-0.404734\pi\)
0.930906 + 0.365259i \(0.119020\pi\)
\(182\) 7.38516 0.412010i 0.547425 0.0305402i
\(183\) 15.9770 + 7.69413i 1.18106 + 0.568767i
\(184\) −16.8637 42.9681i −1.24321 3.16765i
\(185\) −0.289519 3.86337i −0.0212859 0.284040i
\(186\) −26.8694 + 8.28811i −1.97016 + 0.607713i
\(187\) −1.18505 + 15.8134i −0.0866597 + 1.15639i
\(188\) 3.24012 + 14.1959i 0.236310 + 1.03534i
\(189\) 7.95074 + 12.1532i 0.578331 + 0.884013i
\(190\) 0.959006 4.20168i 0.0695736 0.304822i
\(191\) 16.4425 + 5.07185i 1.18974 + 0.366986i 0.825545 0.564337i \(-0.190868\pi\)
0.364195 + 0.931323i \(0.381344\pi\)
\(192\) −20.4092 + 52.0018i −1.47291 + 3.75290i
\(193\) −3.51743 + 3.26370i −0.253190 + 0.234926i −0.796548 0.604575i \(-0.793343\pi\)
0.543358 + 0.839501i \(0.317153\pi\)
\(194\) −30.3290 + 20.6780i −2.17749 + 1.48459i
\(195\) 0.678947 0.0486204
\(196\) 21.6846 34.4545i 1.54890 2.46103i
\(197\) −5.13831 −0.366090 −0.183045 0.983105i \(-0.558595\pi\)
−0.183045 + 0.983105i \(0.558595\pi\)
\(198\) 13.5868 9.26335i 0.965575 0.658318i
\(199\) 9.30027 8.62939i 0.659279 0.611721i −0.277884 0.960615i \(-0.589633\pi\)
0.937162 + 0.348894i \(0.113443\pi\)
\(200\) 18.2604 46.5267i 1.29120 3.28994i
\(201\) −0.0189363 0.00584106i −0.00133566 0.000411997i
\(202\) −8.39553 + 36.7832i −0.590707 + 2.58806i
\(203\) −8.45652 + 8.77239i −0.593532 + 0.615701i
\(204\) −6.48189 28.3990i −0.453823 1.98833i
\(205\) −0.207226 + 2.76524i −0.0144733 + 0.193133i
\(206\) 21.8393 6.73654i 1.52162 0.469357i
\(207\) −0.496310 6.62279i −0.0344959 0.460316i
\(208\) 6.64613 + 16.9341i 0.460826 + 1.17417i
\(209\) 9.48933 + 4.56982i 0.656390 + 0.316101i
\(210\) 2.90756 4.09462i 0.200640 0.282555i
\(211\) 6.16860 2.97064i 0.424664 0.204507i −0.209330 0.977845i \(-0.567128\pi\)
0.633995 + 0.773338i \(0.281414\pi\)
\(212\) −44.4363 41.2308i −3.05190 2.83175i
\(213\) 12.5047 + 1.88478i 0.856808 + 0.129143i
\(214\) −3.76628 6.52339i −0.257458 0.445930i
\(215\) 0.0732078 0.126800i 0.00499273 0.00864766i
\(216\) −36.5090 + 45.7808i −2.48412 + 3.11499i
\(217\) 9.15934 + 19.9857i 0.621776 + 1.35672i
\(218\) 16.3879 + 20.5498i 1.10993 + 1.39181i
\(219\) −6.29706 + 0.949129i −0.425516 + 0.0641362i
\(220\) −10.3292 7.04233i −0.696394 0.474794i
\(221\) −3.41893 2.33099i −0.229982 0.156799i
\(222\) −23.1117 + 3.48353i −1.55116 + 0.233799i
\(223\) −3.14014 3.93761i −0.210279 0.263682i 0.665495 0.746402i \(-0.268220\pi\)
−0.875775 + 0.482720i \(0.839649\pi\)
\(224\) 75.8054 + 18.8297i 5.06496 + 1.25811i
\(225\) 4.48377 5.62247i 0.298918 0.374831i
\(226\) −2.90710 + 5.03524i −0.193377 + 0.334939i
\(227\) −13.7160 23.7569i −0.910365 1.57680i −0.813550 0.581495i \(-0.802468\pi\)
−0.0968149 0.995302i \(-0.530866\pi\)
\(228\) −19.1309 2.88352i −1.26698 0.190966i
\(229\) 6.04052 + 5.60478i 0.399169 + 0.370375i 0.854062 0.520172i \(-0.174132\pi\)
−0.454893 + 0.890546i \(0.650322\pi\)
\(230\) −6.11336 + 2.94404i −0.403103 + 0.194124i
\(231\) 8.17460 + 9.15417i 0.537849 + 0.602300i
\(232\) −44.2633 21.3161i −2.90603 1.39947i
\(233\) 0.492609 + 1.25515i 0.0322719 + 0.0822274i 0.946101 0.323871i \(-0.104984\pi\)
−0.913829 + 0.406098i \(0.866889\pi\)
\(234\) 0.320664 + 4.27897i 0.0209625 + 0.279725i
\(235\) 1.34197 0.413944i 0.0875406 0.0270027i
\(236\) 3.10316 41.4088i 0.201998 2.69548i
\(237\) −1.60782 7.04431i −0.104439 0.457577i
\(238\) −28.6992 + 10.6367i −1.86029 + 0.689473i
\(239\) 0.841100 3.68510i 0.0544063 0.238369i −0.940412 0.340037i \(-0.889561\pi\)
0.994818 + 0.101667i \(0.0324177\pi\)
\(240\) 11.8024 + 3.64056i 0.761841 + 0.234997i
\(241\) −5.68431 + 14.4834i −0.366159 + 0.932957i 0.622479 + 0.782637i \(0.286126\pi\)
−0.988637 + 0.150321i \(0.951969\pi\)
\(242\) 7.55478 7.00981i 0.485640 0.450608i
\(243\) −11.5662 + 7.88568i −0.741970 + 0.505867i
\(244\) 85.2028 5.45455
\(245\) −3.47004 1.83724i −0.221693 0.117377i
\(246\) 16.7293 1.06662
\(247\) −2.27077 + 1.54819i −0.144486 + 0.0985087i
\(248\) −64.9787 + 60.2914i −4.12615 + 3.82851i
\(249\) −3.92379 + 9.99766i −0.248660 + 0.633576i
\(250\) −14.5132 4.47672i −0.917894 0.283133i
\(251\) 1.31652 5.76803i 0.0830978 0.364075i −0.916233 0.400645i \(-0.868786\pi\)
0.999331 + 0.0365700i \(0.0116432\pi\)
\(252\) 20.2241 + 12.1964i 1.27400 + 0.768298i
\(253\) −3.68991 16.1666i −0.231983 1.01638i
\(254\) −3.26151 + 43.5218i −0.204645 + 2.73080i
\(255\) −2.68463 + 0.828099i −0.168118 + 0.0518576i
\(256\) 7.72245 + 103.049i 0.482653 + 6.44055i
\(257\) −0.366530 0.933903i −0.0228635 0.0582553i 0.918986 0.394290i \(-0.129009\pi\)
−0.941850 + 0.336034i \(0.890914\pi\)
\(258\) −0.795839 0.383256i −0.0495468 0.0238605i
\(259\) 5.05242 + 17.5617i 0.313942 + 1.09123i
\(260\) 2.93909 1.41539i 0.182275 0.0877789i
\(261\) −5.18169 4.80790i −0.320738 0.297602i
\(262\) −24.6213 3.71106i −1.52111 0.229270i
\(263\) −3.51020 6.07984i −0.216448 0.374899i 0.737272 0.675597i \(-0.236114\pi\)
−0.953720 + 0.300698i \(0.902781\pi\)
\(264\) −24.7419 + 42.8543i −1.52276 + 2.63750i
\(265\) −3.64521 + 4.57095i −0.223923 + 0.280791i
\(266\) −0.387611 + 20.3247i −0.0237660 + 1.24619i
\(267\) 4.43925 + 5.56664i 0.271678 + 0.340673i
\(268\) −0.0941500 + 0.0141908i −0.00575112 + 0.000866843i
\(269\) −13.8548 9.44605i −0.844743 0.575936i 0.0617814 0.998090i \(-0.480322\pi\)
−0.906524 + 0.422154i \(0.861274\pi\)
\(270\) 7.11199 + 4.84888i 0.432822 + 0.295093i
\(271\) 15.0012 2.26106i 0.911255 0.137350i 0.323350 0.946279i \(-0.395191\pi\)
0.587905 + 0.808930i \(0.299953\pi\)
\(272\) −46.9337 58.8530i −2.84577 3.56849i
\(273\) −3.13522 + 0.652960i −0.189752 + 0.0395189i
\(274\) 9.17127 11.5004i 0.554056 0.694765i
\(275\) 8.97784 15.5501i 0.541384 0.937705i
\(276\) 15.2301 + 26.3794i 0.916746 + 1.58785i
\(277\) −1.51190 0.227882i −0.0908413 0.0136921i 0.103464 0.994633i \(-0.467007\pi\)
−0.194306 + 0.980941i \(0.562245\pi\)
\(278\) 28.1011 + 26.0740i 1.68539 + 1.56382i
\(279\) −11.4907 + 5.53365i −0.687933 + 0.331291i
\(280\) 2.65757 15.6065i 0.158820 0.932668i
\(281\) −27.7122 13.3455i −1.65317 0.796126i −0.999216 0.0395950i \(-0.987393\pi\)
−0.653957 0.756531i \(-0.726892\pi\)
\(282\) −3.09532 7.88676i −0.184324 0.469650i
\(283\) −1.90270 25.3898i −0.113104 1.50926i −0.708430 0.705781i \(-0.750596\pi\)
0.595326 0.803484i \(-0.297023\pi\)
\(284\) 58.0608 17.9094i 3.44527 1.06273i
\(285\) −0.139444 + 1.86075i −0.00825994 + 0.110221i
\(286\) 2.38404 + 10.4452i 0.140971 + 0.617636i
\(287\) −1.70248 12.9685i −0.100494 0.765508i
\(288\) −10.0831 + 44.1768i −0.594150 + 2.60314i
\(289\) 0.117149 + 0.0361357i 0.00689113 + 0.00212563i
\(290\) −2.63844 + 6.72264i −0.154935 + 0.394767i
\(291\) 11.6504 10.8100i 0.682958 0.633692i
\(292\) −25.2807 + 17.2361i −1.47944 + 1.00867i
\(293\) −27.7468 −1.62098 −0.810491 0.585751i \(-0.800800\pi\)
−0.810491 + 0.585751i \(0.800800\pi\)
\(294\) −9.48853 + 21.7043i −0.553382 + 1.26582i
\(295\) −4.00496 −0.233178
\(296\) −60.8777 + 41.5057i −3.53844 + 2.41247i
\(297\) −15.4204 + 14.3080i −0.894782 + 0.830237i
\(298\) −7.60434 + 19.3755i −0.440507 + 1.12239i
\(299\) 4.13477 + 1.27541i 0.239120 + 0.0737588i
\(300\) −7.33941 + 32.1561i −0.423741 + 1.85653i
\(301\) −0.216110 + 0.655937i −0.0124564 + 0.0378076i
\(302\) −6.60624 28.9438i −0.380146 1.66553i
\(303\) 1.22075 16.2897i 0.0701301 0.935822i
\(304\) −47.7752 + 14.7367i −2.74009 + 0.845207i
\(305\) −0.614101 8.19460i −0.0351633 0.469222i
\(306\) −6.48692 16.5284i −0.370833 0.944866i
\(307\) −4.86793 2.34427i −0.277827 0.133795i 0.289782 0.957093i \(-0.406417\pi\)
−0.567609 + 0.823298i \(0.692132\pi\)
\(308\) 54.4706 + 22.5860i 3.10375 + 1.28696i
\(309\) −8.91535 + 4.29341i −0.507176 + 0.244243i
\(310\) 9.55182 + 8.86279i 0.542507 + 0.503373i
\(311\) 16.3265 + 2.46082i 0.925791 + 0.139540i 0.594598 0.804023i \(-0.297311\pi\)
0.331192 + 0.943563i \(0.392549\pi\)
\(312\) −6.45619 11.1825i −0.365510 0.633082i
\(313\) −3.19240 + 5.52941i −0.180445 + 0.312540i −0.942032 0.335522i \(-0.891087\pi\)
0.761587 + 0.648063i \(0.224421\pi\)
\(314\) 25.0893 31.4610i 1.41587 1.77545i
\(315\) 1.02725 2.03301i 0.0578790 0.114547i
\(316\) −21.6453 27.1423i −1.21764 1.52687i
\(317\) 5.84157 0.880475i 0.328095 0.0494524i 0.0170707 0.999854i \(-0.494566\pi\)
0.311025 + 0.950402i \(0.399328\pi\)
\(318\) 29.1425 + 19.8690i 1.63423 + 1.11420i
\(319\) −14.5824 9.94213i −0.816459 0.556652i
\(320\) 25.5980 3.85828i 1.43097 0.215685i
\(321\) 2.03341 + 2.54982i 0.113494 + 0.142317i
\(322\) 25.3987 19.4743i 1.41542 1.08526i
\(323\) 7.09059 8.89131i 0.394531 0.494726i
\(324\) 5.93094 10.2727i 0.329496 0.570705i
\(325\) 2.34269 + 4.05765i 0.129949 + 0.225078i
\(326\) 16.3479 + 2.46405i 0.905426 + 0.136471i
\(327\) −8.34224 7.74046i −0.461327 0.428049i
\(328\) 47.5148 22.8819i 2.62357 1.26344i
\(329\) −5.79882 + 3.20210i −0.319699 + 0.176538i
\(330\) 6.55374 + 3.15611i 0.360771 + 0.173738i
\(331\) −11.8907 30.2970i −0.653571 1.66527i −0.743011 0.669279i \(-0.766603\pi\)
0.0894402 0.995992i \(-0.471492\pi\)
\(332\) 3.85630 + 51.4588i 0.211642 + 2.82417i
\(333\) −10.1302 + 3.12476i −0.555132 + 0.171236i
\(334\) 2.06096 27.5016i 0.112771 1.50482i
\(335\) 0.00204343 + 0.00895284i 0.000111644 + 0.000489146i
\(336\) −58.0019 5.46060i −3.16427 0.297900i
\(337\) −3.21571 + 14.0889i −0.175171 + 0.767473i 0.808646 + 0.588296i \(0.200201\pi\)
−0.983817 + 0.179178i \(0.942656\pi\)
\(338\) −2.67147 0.824038i −0.145309 0.0448218i
\(339\) 0.919689 2.34333i 0.0499507 0.127272i
\(340\) −9.89517 + 9.18137i −0.536641 + 0.497930i
\(341\) −26.3107 + 17.9383i −1.42480 + 0.971414i
\(342\) −11.7930 −0.637691
\(343\) 17.7908 + 5.14675i 0.960611 + 0.277898i
\(344\) −2.78457 −0.150134
\(345\) 2.42733 1.65493i 0.130683 0.0890983i
\(346\) 44.8113 41.5789i 2.40907 2.23529i
\(347\) 8.43904 21.5023i 0.453031 1.15430i −0.503841 0.863796i \(-0.668080\pi\)
0.956872 0.290509i \(-0.0938245\pi\)
\(348\) 30.9796 + 9.55595i 1.66068 + 0.512253i
\(349\) −6.20511 + 27.1864i −0.332152 + 1.45525i 0.482804 + 0.875729i \(0.339619\pi\)
−0.814955 + 0.579524i \(0.803239\pi\)
\(350\) 34.5035 + 3.24834i 1.84429 + 0.173631i
\(351\) −1.22145 5.35150i −0.0651959 0.285642i
\(352\) −8.45483 + 112.822i −0.450644 + 6.01343i
\(353\) 10.5558 3.25604i 0.561830 0.173302i −0.000815696 1.00000i \(-0.500260\pi\)
0.562646 + 0.826698i \(0.309783\pi\)
\(354\) 1.80560 + 24.0941i 0.0959666 + 1.28059i
\(355\) −2.14096 5.45507i −0.113630 0.289525i
\(356\) 30.8218 + 14.8430i 1.63355 + 0.786677i
\(357\) 11.6006 6.40584i 0.613969 0.339033i
\(358\) 49.5788 23.8759i 2.62032 1.26188i
\(359\) 18.0361 + 16.7351i 0.951910 + 0.883243i 0.993261 0.115902i \(-0.0369758\pi\)
−0.0413512 + 0.999145i \(0.513166\pi\)
\(360\) 9.08146 + 1.36881i 0.478635 + 0.0721426i
\(361\) 5.72336 + 9.91314i 0.301229 + 0.521744i
\(362\) −25.5850 + 44.3145i −1.34472 + 2.32912i
\(363\) −2.78208 + 3.48862i −0.146021 + 0.183105i
\(364\) −12.2108 + 9.36255i −0.640022 + 0.490731i
\(365\) 1.83994 + 2.30721i 0.0963066 + 0.120765i
\(366\) −49.0223 + 7.38893i −2.56244 + 0.386226i
\(367\) 3.70359 + 2.52506i 0.193326 + 0.131807i 0.656115 0.754661i \(-0.272199\pi\)
−0.462789 + 0.886469i \(0.653151\pi\)
\(368\) 65.0375 + 44.3418i 3.39031 + 2.31148i
\(369\) 7.50315 1.13092i 0.390599 0.0588733i
\(370\) 6.75300 + 8.46800i 0.351072 + 0.440230i
\(371\) 12.4367 24.6133i 0.645683 1.27786i
\(372\) 36.4707 45.7328i 1.89092 2.37114i
\(373\) 8.54427 14.7991i 0.442405 0.766269i −0.555462 0.831542i \(-0.687459\pi\)
0.997867 + 0.0652733i \(0.0207919\pi\)
\(374\) −22.1665 38.3936i −1.14620 1.98529i
\(375\) 6.50241 + 0.980081i 0.335783 + 0.0506111i
\(376\) −19.5787 18.1664i −1.00970 0.936862i
\(377\) 4.14932 1.99821i 0.213701 0.102913i
\(378\) −37.5048 15.5512i −1.92904 0.799868i
\(379\) 5.59920 + 2.69643i 0.287612 + 0.138507i 0.572127 0.820165i \(-0.306118\pi\)
−0.284515 + 0.958671i \(0.591833\pi\)
\(380\) 3.27544 + 8.34569i 0.168027 + 0.428125i
\(381\) −1.41212 18.8434i −0.0723451 0.965378i
\(382\) −45.9679 + 14.1792i −2.35192 + 0.725471i
\(383\) 1.37852 18.3950i 0.0704389 0.939942i −0.844293 0.535881i \(-0.819979\pi\)
0.914732 0.404060i \(-0.132401\pi\)
\(384\) −18.8488 82.5822i −0.961876 4.21426i
\(385\) 1.77967 5.40164i 0.0907004 0.275293i
\(386\) 2.98502 13.0782i 0.151934 0.665665i
\(387\) −0.382846 0.118092i −0.0194612 0.00600297i
\(388\) 27.8979 71.0827i 1.41630 3.60868i
\(389\) −5.38579 + 4.99728i −0.273070 + 0.253372i −0.804806 0.593538i \(-0.797731\pi\)
0.531735 + 0.846911i \(0.321540\pi\)
\(390\) −1.56829 + 1.06924i −0.0794136 + 0.0541433i
\(391\) −17.9049 −0.905491
\(392\) 2.73710 + 74.6231i 0.138244 + 3.76904i
\(393\) 10.7806 0.543808
\(394\) 11.8689 8.09210i 0.597948 0.407674i
\(395\) −2.45447 + 2.27742i −0.123498 + 0.114589i
\(396\) −12.4978 + 31.8438i −0.628036 + 1.60021i
\(397\) −9.97146 3.07579i −0.500453 0.154369i 0.0342433 0.999414i \(-0.489098\pi\)
−0.534697 + 0.845044i \(0.679574\pi\)
\(398\) −7.89255 + 34.5795i −0.395618 + 1.73331i
\(399\) −1.14561 8.72661i −0.0573521 0.436877i
\(400\) 18.9664 + 83.0974i 0.948322 + 4.15487i
\(401\) 2.38026 31.7623i 0.118864 1.58614i −0.545099 0.838371i \(-0.683508\pi\)
0.663964 0.747765i \(-0.268873\pi\)
\(402\) 0.0529395 0.0163297i 0.00264038 0.000814450i
\(403\) −0.620961 8.28615i −0.0309323 0.412763i
\(404\) −28.6745 73.0615i −1.42661 3.63495i
\(405\) −1.03075 0.496383i −0.0512183 0.0246655i
\(406\) 5.71839 33.5811i 0.283799 1.66660i
\(407\) −23.8480 + 11.4846i −1.18210 + 0.569271i
\(408\) 39.1675 + 36.3421i 1.93908 + 1.79920i
\(409\) −15.2734 2.30209i −0.755221 0.113831i −0.239863 0.970807i \(-0.577103\pi\)
−0.515357 + 0.856975i \(0.672341\pi\)
\(410\) −3.87619 6.71375i −0.191431 0.331569i
\(411\) −3.18437 + 5.51549i −0.157073 + 0.272059i
\(412\) −29.6432 + 37.1714i −1.46042 + 1.83131i
\(413\) 18.4940 3.85167i 0.910029 0.189528i
\(414\) 11.5764 + 14.5163i 0.568948 + 0.713438i
\(415\) 4.92139 0.741780i 0.241581 0.0364125i
\(416\) −24.3926 16.6306i −1.19594 0.815381i
\(417\) −13.7135 9.34970i −0.671553 0.457857i
\(418\) −29.1161 + 4.38855i −1.42412 + 0.214651i
\(419\) −17.8388 22.3692i −0.871483 1.09281i −0.994942 0.100456i \(-0.967970\pi\)
0.123458 0.992350i \(-0.460602\pi\)
\(420\) −0.199198 + 10.4451i −0.00971988 + 0.509669i
\(421\) −8.58819 + 10.7693i −0.418563 + 0.524861i −0.945753 0.324886i \(-0.894674\pi\)
0.527190 + 0.849747i \(0.323245\pi\)
\(422\) −9.57046 + 16.5765i −0.465883 + 0.806932i
\(423\) −1.92142 3.32800i −0.0934227 0.161813i
\(424\) 109.948 + 16.5719i 5.33952 + 0.804804i
\(425\) −14.2123 13.1871i −0.689397 0.639667i
\(426\) −31.8528 + 15.3395i −1.54327 + 0.743200i
\(427\) 10.7167 + 37.2502i 0.518618 + 1.80266i
\(428\) 14.1180 + 6.79888i 0.682420 + 0.328636i
\(429\) −1.69471 4.31805i −0.0818213 0.208477i
\(430\) 0.0305892 + 0.408185i 0.00147514 + 0.0196844i
\(431\) −18.6864 + 5.76400i −0.900093 + 0.277642i −0.710065 0.704136i \(-0.751334\pi\)
−0.190029 + 0.981779i \(0.560858\pi\)
\(432\) 7.46224 99.5767i 0.359027 4.79089i
\(433\) −3.79981 16.6480i −0.182607 0.800054i −0.980383 0.197100i \(-0.936848\pi\)
0.797776 0.602954i \(-0.206010\pi\)
\(434\) −52.6317 31.7401i −2.52640 1.52357i
\(435\) 0.695782 3.04842i 0.0333602 0.146161i
\(436\) −52.2492 16.1167i −2.50228 0.771851i
\(437\) −4.34464 + 11.0700i −0.207833 + 0.529549i
\(438\) 13.0508 12.1093i 0.623590 0.578607i
\(439\) 24.2824 16.5555i 1.15894 0.790149i 0.177914 0.984046i \(-0.443065\pi\)
0.981022 + 0.193897i \(0.0621128\pi\)
\(440\) 22.9309 1.09319
\(441\) −2.78841 + 10.3759i −0.132782 + 0.494090i
\(442\) 11.5683 0.550249
\(443\) 8.80511 6.00322i 0.418343 0.285222i −0.335798 0.941934i \(-0.609006\pi\)
0.754141 + 0.656713i \(0.228054\pi\)
\(444\) 35.6423 33.0712i 1.69151 1.56949i
\(445\) 1.20541 3.07135i 0.0571421 0.145596i
\(446\) 13.4546 + 4.15018i 0.637092 + 0.196517i
\(447\) 2.00534 8.78595i 0.0948491 0.415561i
\(448\) −114.495 + 42.4349i −5.40939 + 2.00486i
\(449\) 3.63286 + 15.9166i 0.171445 + 0.751152i 0.985404 + 0.170229i \(0.0544509\pi\)
−0.813959 + 0.580922i \(0.802692\pi\)
\(450\) −1.50243 + 20.0486i −0.0708254 + 0.945099i
\(451\) 18.1040 5.58433i 0.852482 0.262956i
\(452\) −0.903870 12.0613i −0.0425145 0.567316i
\(453\) 4.69608 + 11.9654i 0.220641 + 0.562184i
\(454\) 69.0961 + 33.2749i 3.24284 + 1.56167i
\(455\) 0.988477 + 1.10693i 0.0463405 + 0.0518936i
\(456\) 31.9731 15.3974i 1.49728 0.721050i
\(457\) 3.76409 + 3.49256i 0.176077 + 0.163375i 0.763288 0.646058i \(-0.223584\pi\)
−0.587211 + 0.809434i \(0.699774\pi\)
\(458\) −22.7797 3.43348i −1.06442 0.160436i
\(459\) 11.3569 + 19.6707i 0.530093 + 0.918147i
\(460\) 7.05767 12.2242i 0.329066 0.569958i
\(461\) −4.40851 + 5.52809i −0.205325 + 0.257469i −0.873822 0.486245i \(-0.838366\pi\)
0.668498 + 0.743714i \(0.266938\pi\)
\(462\) −33.2989 8.27131i −1.54921 0.384816i
\(463\) 13.9919 + 17.5453i 0.650259 + 0.815400i 0.992244 0.124306i \(-0.0396705\pi\)
−0.341984 + 0.939706i \(0.611099\pi\)
\(464\) 82.8437 12.4867i 3.84592 0.579679i
\(465\) −4.66134 3.17805i −0.216164 0.147378i
\(466\) −3.11455 2.12346i −0.144279 0.0983675i
\(467\) −13.5802 + 2.04688i −0.628414 + 0.0947182i −0.455525 0.890223i \(-0.650548\pi\)
−0.172889 + 0.984941i \(0.555310\pi\)
\(468\) −5.56552 6.97894i −0.257266 0.322602i
\(469\) −0.0180462 0.0393769i −0.000833297 0.00181826i
\(470\) −2.44791 + 3.06958i −0.112913 + 0.141589i
\(471\) −8.71129 + 15.0884i −0.401395 + 0.695237i
\(472\) 38.0837 + 65.9629i 1.75294 + 3.03619i
\(473\) −0.989168 0.149093i −0.0454820 0.00685531i
\(474\) 14.8077 + 13.7395i 0.680138 + 0.631076i
\(475\) −11.6017 + 5.58709i −0.532323 + 0.256353i
\(476\) 36.8636 51.9139i 1.68964 2.37947i
\(477\) 14.4137 + 6.94127i 0.659958 + 0.317819i
\(478\) 3.86066 + 9.83679i 0.176582 + 0.449924i
\(479\) −0.963840 12.8616i −0.0440390 0.587659i −0.974952 0.222417i \(-0.928605\pi\)
0.930913 0.365242i \(-0.119014\pi\)
\(480\) −19.1537 + 5.90812i −0.874241 + 0.269668i
\(481\) 0.516156 6.88762i 0.0235347 0.314048i
\(482\) −9.67913 42.4070i −0.440872 1.93159i
\(483\) −9.61727 + 9.97649i −0.437601 + 0.453946i
\(484\) −4.77067 + 20.9017i −0.216848 + 0.950075i
\(485\) −7.03764 2.17082i −0.319563 0.0985721i
\(486\) 14.2978 36.4301i 0.648560 1.65250i
\(487\) 5.94532 5.51645i 0.269408 0.249974i −0.533886 0.845556i \(-0.679269\pi\)
0.803294 + 0.595582i \(0.203079\pi\)
\(488\) −129.128 + 88.0379i −5.84534 + 3.98529i
\(489\) −7.15803 −0.323697
\(490\) 10.9088 1.22098i 0.492809 0.0551583i
\(491\) −28.1903 −1.27221 −0.636104 0.771603i \(-0.719455\pi\)
−0.636104 + 0.771603i \(0.719455\pi\)
\(492\) −28.7544 + 19.6044i −1.29635 + 0.883834i
\(493\) −13.9697 + 12.9620i −0.629162 + 0.583777i
\(494\) 2.80706 7.15228i 0.126296 0.321796i
\(495\) 3.15274 + 0.972490i 0.141705 + 0.0437102i
\(496\) 33.6365 147.371i 1.51032 6.61715i
\(497\) 15.1327 + 23.1312i 0.678794 + 1.03758i
\(498\) −6.68135 29.2729i −0.299399 1.31175i
\(499\) 0.636950 8.49951i 0.0285138 0.380490i −0.964631 0.263603i \(-0.915089\pi\)
0.993145 0.116888i \(-0.0372917\pi\)
\(500\) 30.1914 9.31282i 1.35020 0.416482i
\(501\) 0.892324 + 11.9072i 0.0398661 + 0.531976i
\(502\) 6.04282 + 15.3968i 0.269704 + 0.687195i
\(503\) 32.8804 + 15.8344i 1.46606 + 0.706019i 0.985300 0.170831i \(-0.0546452\pi\)
0.480764 + 0.876850i \(0.340359\pi\)
\(504\) −43.2525 + 2.41301i −1.92662 + 0.107484i
\(505\) −6.82021 + 3.28444i −0.303495 + 0.146156i
\(506\) 33.9833 + 31.5319i 1.51074 + 1.40176i
\(507\) 1.19691 + 0.180405i 0.0531566 + 0.00801207i
\(508\) −45.3956 78.6275i −2.01410 3.48853i
\(509\) −10.7530 + 18.6248i −0.476620 + 0.825530i −0.999641 0.0267899i \(-0.991471\pi\)
0.523021 + 0.852320i \(0.324805\pi\)
\(510\) 4.89706 6.14072i 0.216846 0.271916i
\(511\) −10.7153 8.88463i −0.474017 0.393033i
\(512\) −92.8614 116.444i −4.10393 5.14617i
\(513\) 14.9174 2.24844i 0.658620 0.0992709i
\(514\) 2.31741 + 1.57998i 0.102216 + 0.0696900i
\(515\) 3.78871 + 2.58310i 0.166951 + 0.113825i
\(516\) 1.81702 0.273871i 0.0799896 0.0120565i
\(517\) −5.98232 7.50160i −0.263102 0.329920i
\(518\) −39.3277 32.6087i −1.72796 1.43275i
\(519\) −16.5020 + 20.6928i −0.724357 + 0.908314i
\(520\) −2.99181 + 5.18197i −0.131200 + 0.227244i
\(521\) −6.65238 11.5223i −0.291446 0.504799i 0.682706 0.730693i \(-0.260803\pi\)
−0.974152 + 0.225894i \(0.927470\pi\)
\(522\) 19.5409 + 2.94531i 0.855281 + 0.128913i
\(523\) −7.15441 6.63832i −0.312840 0.290273i 0.508087 0.861306i \(-0.330353\pi\)
−0.820928 + 0.571032i \(0.806543\pi\)
\(524\) 46.6680 22.4741i 2.03870 0.981787i
\(525\) −14.9816 + 0.835807i −0.653850 + 0.0364776i
\(526\) 17.6830 + 8.51570i 0.771017 + 0.371302i
\(527\) 12.5618 + 32.0070i 0.547201 + 1.39425i
\(528\) −6.30613 84.1494i −0.274439 3.66213i
\(529\) −4.08698 + 1.26067i −0.177695 + 0.0548116i
\(530\) 1.22145 16.2991i 0.0530562 0.707986i
\(531\) 2.43861 + 10.6842i 0.105827 + 0.463657i
\(532\) −23.1515 35.3884i −1.00374 1.53428i
\(533\) −1.10008 + 4.81975i −0.0476496 + 0.208767i
\(534\) −19.0208 5.86715i −0.823113 0.253897i
\(535\) 0.552144 1.40684i 0.0238713 0.0608230i
\(536\) 0.128025 0.118789i 0.00552982 0.00513092i
\(537\) −19.6854 + 13.4213i −0.849489 + 0.579172i
\(538\) 46.8793 2.02111
\(539\) −3.02321 + 26.6551i −0.130219 + 1.14812i
\(540\) −17.9063 −0.770566
\(541\) 23.7077 16.1636i 1.01927 0.694929i 0.0662430 0.997804i \(-0.478899\pi\)
0.953030 + 0.302875i \(0.0979464\pi\)
\(542\) −31.0902 + 28.8475i −1.33544 + 1.23910i
\(543\) 8.09408 20.6234i 0.347350 0.885034i
\(544\) 116.735 + 36.0079i 5.00497 + 1.54383i
\(545\) −1.17348 + 5.14136i −0.0502664 + 0.220232i
\(546\) 6.21370 6.44579i 0.265922 0.275854i
\(547\) −3.14422 13.7757i −0.134437 0.589008i −0.996601 0.0823787i \(-0.973748\pi\)
0.862164 0.506630i \(-0.169109\pi\)
\(548\) −2.28674 + 30.5144i −0.0976846 + 1.30351i
\(549\) −21.4872 + 6.62793i −0.917053 + 0.282873i
\(550\) 3.75131 + 50.0578i 0.159956 + 2.13447i
\(551\) 4.62416 + 11.7822i 0.196996 + 0.501938i
\(552\) −50.3389 24.2419i −2.14257 1.03181i
\(553\) 9.14394 12.8771i 0.388840 0.547590i
\(554\) 3.85121 1.85464i 0.163622 0.0787962i
\(555\) −3.43760 3.18963i −0.145918 0.135392i
\(556\) −78.8555 11.8856i −3.34422 0.504060i
\(557\) −3.60833 6.24981i −0.152890 0.264813i 0.779399 0.626528i \(-0.215525\pi\)
−0.932289 + 0.361715i \(0.882191\pi\)
\(558\) 17.8277 30.8784i 0.754705 1.30719i
\(559\) 0.162750 0.204082i 0.00688358 0.00863173i
\(560\) 11.2477 + 24.5424i 0.475301 + 1.03711i
\(561\) 11.9677 + 15.0070i 0.505277 + 0.633597i
\(562\) 85.0295 12.8161i 3.58675 0.540616i
\(563\) 4.49227 + 3.06278i 0.189327 + 0.129081i 0.654274 0.756258i \(-0.272974\pi\)
−0.464947 + 0.885338i \(0.653927\pi\)
\(564\) 14.5625 + 9.92851i 0.613190 + 0.418066i
\(565\) −1.15351 + 0.173864i −0.0485286 + 0.00731451i
\(566\) 44.3803 + 55.6511i 1.86544 + 2.33919i
\(567\) 5.23714 + 1.30088i 0.219939 + 0.0546320i
\(568\) −69.4879 + 87.1350i −2.91565 + 3.65610i
\(569\) 2.04811 3.54744i 0.0858614 0.148716i −0.819897 0.572512i \(-0.805969\pi\)
0.905758 + 0.423795i \(0.139302\pi\)
\(570\) −2.60831 4.51773i −0.109250 0.189227i
\(571\) 18.0030 + 2.71352i 0.753403 + 0.113557i 0.514505 0.857487i \(-0.327976\pi\)
0.238898 + 0.971045i \(0.423214\pi\)
\(572\) −16.3380 15.1595i −0.683126 0.633849i
\(573\) 18.7652 9.03685i 0.783928 0.377520i
\(574\) 24.3561 + 27.2747i 1.01660 + 1.13843i
\(575\) 18.2659 + 8.79641i 0.761742 + 0.366836i
\(576\) −25.8795 65.9399i −1.07831 2.74750i
\(577\) 2.33094 + 31.1043i 0.0970384 + 1.29489i 0.806960 + 0.590606i \(0.201111\pi\)
−0.709921 + 0.704281i \(0.751270\pi\)
\(578\) −0.327510 + 0.101024i −0.0136226 + 0.00420202i
\(579\) −0.434036 + 5.79180i −0.0180379 + 0.240699i
\(580\) −3.34304 14.6468i −0.138812 0.608175i
\(581\) −22.0124 + 8.15838i −0.913229 + 0.338467i
\(582\) −9.88695 + 43.3176i −0.409827 + 1.79557i
\(583\) 38.1696 + 11.7738i 1.58082 + 0.487619i
\(584\) 20.5042 52.2438i 0.848469 2.16186i
\(585\) −0.631104 + 0.585579i −0.0260929 + 0.0242107i
\(586\) 64.0920 43.6972i 2.64761 1.80511i
\(587\) 37.2290 1.53661 0.768303 0.640086i \(-0.221101\pi\)
0.768303 + 0.640086i \(0.221101\pi\)
\(588\) −9.12545 48.4246i −0.376327 1.99700i
\(589\) 22.8369 0.940978
\(590\) 9.25102 6.30724i 0.380858 0.259665i
\(591\) −4.55926 + 4.23038i −0.187543 + 0.174014i
\(592\) 45.9044 116.962i 1.88666 4.80713i
\(593\) 13.1130 + 4.04482i 0.538486 + 0.166101i 0.552056 0.833807i \(-0.313843\pi\)
−0.0135701 + 0.999908i \(0.504320\pi\)
\(594\) 13.0863 57.3349i 0.536938 2.35248i
\(595\) −5.25865 3.17129i −0.215583 0.130010i
\(596\) −9.63507 42.2140i −0.394668 1.72915i
\(597\) 1.14761 15.3138i 0.0469687 0.626753i
\(598\) −11.5595 + 3.56562i −0.472701 + 0.145809i
\(599\) −1.34835 17.9924i −0.0550919 0.735151i −0.954532 0.298107i \(-0.903645\pi\)
0.899440 0.437043i \(-0.143974\pi\)
\(600\) −22.1029 56.3173i −0.902347 2.29914i
\(601\) 11.4325 + 5.50562i 0.466343 + 0.224579i 0.652273 0.757984i \(-0.273815\pi\)
−0.185930 + 0.982563i \(0.559530\pi\)
\(602\) −0.533815 1.85549i −0.0217567 0.0756239i
\(603\) 0.0226397 0.0109027i 0.000921960 0.000443993i
\(604\) 45.2730 + 42.0072i 1.84213 + 1.70925i
\(605\) 2.04466 + 0.308182i 0.0831271 + 0.0125294i
\(606\) 22.8342 + 39.5500i 0.927577 + 1.60661i
\(607\) −0.748555 + 1.29654i −0.0303829 + 0.0526248i −0.880817 0.473457i \(-0.843006\pi\)
0.850434 + 0.526082i \(0.176339\pi\)
\(608\) 50.5882 63.4356i 2.05162 2.57265i
\(609\) −0.281222 + 14.7461i −0.0113957 + 0.597540i
\(610\) 14.3238 + 17.9615i 0.579955 + 0.727240i
\(611\) 2.47574 0.373158i 0.100158 0.0150963i
\(612\) 30.5188 + 20.8073i 1.23365 + 0.841087i
\(613\) −28.3086 19.3005i −1.14337 0.779539i −0.164982 0.986297i \(-0.552757\pi\)
−0.978392 + 0.206757i \(0.933709\pi\)
\(614\) 14.9363 2.25128i 0.602779 0.0908543i
\(615\) 2.09275 + 2.62423i 0.0843879 + 0.105819i
\(616\) −105.890 + 22.0532i −4.26642 + 0.888549i
\(617\) 11.1904 14.0323i 0.450508 0.564919i −0.503771 0.863837i \(-0.668054\pi\)
0.954279 + 0.298918i \(0.0966258\pi\)
\(618\) 13.8320 23.9577i 0.556404 0.963720i
\(619\) 1.06473 + 1.84416i 0.0427950 + 0.0741231i 0.886630 0.462480i \(-0.153040\pi\)
−0.843835 + 0.536603i \(0.819707\pi\)
\(620\) −26.8037 4.04001i −1.07646 0.162251i
\(621\) −17.4111 16.1551i −0.698683 0.648283i
\(622\) −41.5878 + 20.0277i −1.66752 + 0.803036i
\(623\) −2.61254 + 15.3420i −0.104669 + 0.614666i
\(624\) 19.8390 + 9.55395i 0.794195 + 0.382464i
\(625\) 7.44551 + 18.9708i 0.297820 + 0.758834i
\(626\) −1.33392 17.7999i −0.0533141 0.711427i
\(627\) 12.1823 3.75773i 0.486513 0.150069i
\(628\) −6.25570 + 83.4765i −0.249629 + 3.33107i
\(629\) 6.35976 + 27.8639i 0.253580 + 1.11101i
\(630\) 0.828859 + 6.31380i 0.0330225 + 0.251548i
\(631\) −6.28035 + 27.5160i −0.250017 + 1.09539i 0.681535 + 0.731786i \(0.261313\pi\)
−0.931552 + 0.363609i \(0.881544\pi\)
\(632\) 60.8496 + 18.7696i 2.42047 + 0.746615i
\(633\) 3.02771 7.71448i 0.120341 0.306623i
\(634\) −12.1068 + 11.2334i −0.480821 + 0.446137i
\(635\) −7.23501 + 4.93275i −0.287113 + 0.195750i
\(636\) −73.3740 −2.90947
\(637\) −5.62912 4.16089i −0.223034 0.164861i
\(638\) 49.3412 1.95344
\(639\) −13.2491 + 9.03311i −0.524128 + 0.357344i
\(640\) −28.7744 + 26.6987i −1.13741 + 1.05536i
\(641\) 9.90226 25.2306i 0.391116 0.996547i −0.590731 0.806869i \(-0.701160\pi\)
0.981846 0.189678i \(-0.0607444\pi\)
\(642\) −8.71256 2.68747i −0.343857 0.106066i
\(643\) −3.62506 + 15.8824i −0.142958 + 0.626342i 0.851780 + 0.523899i \(0.175523\pi\)
−0.994739 + 0.102443i \(0.967334\pi\)
\(644\) −20.8343 + 63.2362i −0.820988 + 2.49186i
\(645\) −0.0394364 0.172782i −0.00155281 0.00680329i
\(646\) −2.37593 + 31.7046i −0.0934798 + 1.24740i
\(647\) −20.6179 + 6.35977i −0.810572 + 0.250028i −0.672217 0.740354i \(-0.734658\pi\)
−0.138355 + 0.990383i \(0.544182\pi\)
\(648\) 1.62596 + 21.6969i 0.0638737 + 0.852335i
\(649\) 9.99672 + 25.4712i 0.392406 + 0.999833i
\(650\) −11.8016 5.68334i −0.462896 0.222919i
\(651\) 24.5814 + 10.1926i 0.963420 + 0.399478i
\(652\) −30.9864 + 14.9222i −1.21352 + 0.584400i
\(653\) −21.3508 19.8106i −0.835521 0.775251i 0.141150 0.989988i \(-0.454920\pi\)
−0.976672 + 0.214738i \(0.931110\pi\)
\(654\) 31.4598 + 4.74180i 1.23017 + 0.185419i
\(655\) −2.49787 4.32644i −0.0975998 0.169048i
\(656\) −44.9669 + 77.8849i −1.75566 + 3.04090i
\(657\) 5.03472 6.31334i 0.196423 0.246307i
\(658\) 8.35178 16.5288i 0.325586 0.644360i
\(659\) −13.2576 16.6245i −0.516441 0.647597i 0.453408 0.891303i \(-0.350208\pi\)
−0.969849 + 0.243706i \(0.921637\pi\)
\(660\) −14.9631 + 2.25533i −0.582439 + 0.0877885i
\(661\) 34.5383 + 23.5478i 1.34338 + 0.915904i 0.999731 0.0231923i \(-0.00738299\pi\)
0.343654 + 0.939096i \(0.388335\pi\)
\(662\) 75.1795 + 51.2565i 2.92193 + 1.99214i
\(663\) −4.95274 + 0.746506i −0.192349 + 0.0289919i
\(664\) −59.0154 74.0030i −2.29024 2.87187i
\(665\) −3.23671 + 2.48172i −0.125514 + 0.0962368i
\(666\) 18.4786 23.1715i 0.716033 0.897876i
\(667\) 9.96379 17.2578i 0.385799 0.668224i
\(668\) 28.6857 + 49.6850i 1.10988 + 1.92237i
\(669\) −6.02811 0.908591i −0.233060 0.0351282i
\(670\) −0.0188195 0.0174620i −0.000727062 0.000674615i
\(671\) −50.5842 + 24.3600i −1.95278 + 0.940409i
\(672\) 82.7651 45.7029i 3.19273 1.76303i
\(673\) −9.94542 4.78946i −0.383368 0.184620i 0.232266 0.972652i \(-0.425386\pi\)
−0.615634 + 0.788032i \(0.711100\pi\)
\(674\) −14.7601 37.6082i −0.568538 1.44861i
\(675\) −1.92195 25.6467i −0.0739761 0.987142i
\(676\) 5.55739 1.71423i 0.213746 0.0659318i
\(677\) −3.35608 + 44.7837i −0.128985 + 1.72118i 0.439295 + 0.898343i \(0.355228\pi\)
−0.568279 + 0.822836i \(0.692391\pi\)
\(678\) 1.56603 + 6.86121i 0.0601429 + 0.263503i
\(679\) 34.5859 + 3.25610i 1.32729 + 0.124958i
\(680\) 5.50960 24.1391i 0.211283 0.925693i
\(681\) −31.7294 9.78721i −1.21587 0.375047i
\(682\) 32.5245 82.8711i 1.24543 3.17330i
\(683\) −3.79601 + 3.52219i −0.145250 + 0.134773i −0.749452 0.662059i \(-0.769683\pi\)
0.604201 + 0.796832i \(0.293492\pi\)
\(684\) 20.2698 13.8197i 0.775036 0.528411i
\(685\) 2.95128 0.112763
\(686\) −49.2001 + 16.1295i −1.87847 + 0.615826i
\(687\) 9.97422 0.380540
\(688\) 3.92344 2.67495i 0.149580 0.101982i
\(689\) −7.64066 + 7.08950i −0.291086 + 0.270088i
\(690\) −3.00060 + 7.64540i −0.114231 + 0.291055i
\(691\) −27.2053 8.39172i −1.03494 0.319236i −0.269673 0.962952i \(-0.586916\pi\)
−0.765265 + 0.643716i \(0.777392\pi\)
\(692\) −28.2973 + 123.979i −1.07570 + 4.71296i
\(693\) −15.4939 1.45867i −0.588564 0.0554104i
\(694\) 14.3698 + 62.9583i 0.545471 + 2.38986i
\(695\) −0.574772 + 7.66980i −0.0218024 + 0.290932i
\(696\) −56.8247 + 17.5281i −2.15393 + 0.664400i
\(697\) −1.52874 20.3996i −0.0579050 0.772689i
\(698\) −28.4815 72.5697i −1.07804 2.74680i
\(699\) 1.47046 + 0.708135i 0.0556178 + 0.0267841i
\(700\) −63.1114 + 34.8500i −2.38539 + 1.31721i
\(701\) −13.5723 + 6.53609i −0.512620 + 0.246865i −0.672266 0.740310i \(-0.734679\pi\)
0.159646 + 0.987174i \(0.448965\pi\)
\(702\) 11.2493 + 10.4378i 0.424576 + 0.393949i
\(703\) 18.7705 + 2.82919i 0.707942 + 0.106705i
\(704\) −88.4333 153.171i −3.33295 5.77285i
\(705\) 0.849941 1.47214i 0.0320106 0.0554440i
\(706\) −19.2550 + 24.1450i −0.724672 + 0.908710i
\(707\) 28.3354 21.7259i 1.06566 0.817088i
\(708\) −31.3384 39.2971i −1.17777 1.47688i
\(709\) 26.8736 4.05054i 1.00926 0.152121i 0.376456 0.926435i \(-0.377143\pi\)
0.632802 + 0.774314i \(0.281905\pi\)
\(710\) 13.5363 + 9.22890i 0.508009 + 0.346355i
\(711\) 7.57010 + 5.16121i 0.283901 + 0.193560i
\(712\) −62.0484 + 9.35229i −2.32536 + 0.350492i
\(713\) −22.4174 28.1106i −0.839540 1.05275i
\(714\) −16.7078 + 33.0661i −0.625275 + 1.23747i
\(715\) −1.34024 + 1.68061i −0.0501223 + 0.0628513i
\(716\) −57.2370 + 99.1374i −2.13905 + 3.70494i
\(717\) −2.28763 3.96229i −0.0854332 0.147975i
\(718\) −68.0168 10.2519i −2.53836 0.382597i
\(719\) −16.9833 15.7582i −0.633370 0.587682i 0.296742 0.954958i \(-0.404100\pi\)
−0.930112 + 0.367276i \(0.880290\pi\)
\(720\) −14.1106 + 6.79533i −0.525872 + 0.253247i
\(721\) −19.9796 8.28446i −0.744080 0.308530i
\(722\) −28.8321 13.8848i −1.07302 0.516739i
\(723\) 6.88045 + 17.5311i 0.255887 + 0.651989i
\(724\) −7.95485 106.150i −0.295640 3.94504i
\(725\) 20.6193 6.36023i 0.765783 0.236213i
\(726\) 0.932227 12.4397i 0.0345982 0.461681i
\(727\) −2.56336 11.2308i −0.0950696 0.416527i 0.904889 0.425648i \(-0.139954\pi\)
−0.999958 + 0.00912088i \(0.997097\pi\)
\(728\) 8.83186 26.8064i 0.327331 0.993512i
\(729\) −5.13202 + 22.4849i −0.190075 + 0.832773i
\(730\) −7.88357 2.43176i −0.291784 0.0900034i
\(731\) −0.394615 + 1.00546i −0.0145954 + 0.0371884i
\(732\) 75.6010 70.1475i 2.79430 2.59273i
\(733\) −36.0914 + 24.6067i −1.33306 + 0.908868i −0.999427 0.0338333i \(-0.989228\pi\)
−0.333637 + 0.942701i \(0.608276\pi\)
\(734\) −12.5315 −0.462546
\(735\) −4.59159 + 1.22669i −0.169363 + 0.0452470i
\(736\) −127.744 −4.70870
\(737\) 0.0518388 0.0353431i 0.00190950 0.00130188i
\(738\) −15.5504 + 14.4287i −0.572419 + 0.531127i
\(739\) −6.02651 + 15.3553i −0.221689 + 0.564853i −0.997840 0.0656933i \(-0.979074\pi\)
0.776151 + 0.630547i \(0.217169\pi\)
\(740\) −21.5304 6.64126i −0.791474 0.244137i
\(741\) −0.740249 + 3.24324i −0.0271937 + 0.119144i
\(742\) 10.0348 + 76.4400i 0.368391 + 2.80620i
\(743\) −8.91308 39.0508i −0.326989 1.43263i −0.824838 0.565370i \(-0.808734\pi\)
0.497848 0.867264i \(-0.334124\pi\)
\(744\) −8.01809 + 106.994i −0.293957 + 3.92259i
\(745\) −3.99060 + 1.23094i −0.146204 + 0.0450980i
\(746\) 3.57015 + 47.6403i 0.130712 + 1.74424i
\(747\) −4.97550 12.6774i −0.182044 0.463841i
\(748\) 83.0919 + 40.0150i 3.03814 + 1.46309i
\(749\) −1.19668 + 7.02747i −0.0437258 + 0.256778i
\(750\) −16.5633 + 7.97648i −0.604808 + 0.291260i
\(751\) 34.7458 + 32.2394i 1.26789 + 1.17643i 0.975468 + 0.220143i \(0.0706524\pi\)
0.292424 + 0.956289i \(0.405538\pi\)
\(752\) 45.0376 + 6.78833i 1.64235 + 0.247545i
\(753\) −3.58067 6.20190i −0.130487 0.226010i
\(754\) −6.43758 + 11.1502i −0.234443 + 0.406067i
\(755\) 3.71384 4.65701i 0.135161 0.169486i
\(756\) 82.6873 17.2210i 3.00731 0.626320i
\(757\) −15.5068 19.4449i −0.563603 0.706735i 0.415617 0.909540i \(-0.363566\pi\)
−0.979219 + 0.202805i \(0.934994\pi\)
\(758\) −17.1800 + 2.58948i −0.624007 + 0.0940540i
\(759\) −16.5840 11.3068i −0.601962 0.410411i
\(760\) −13.5874 9.26376i −0.492868 0.336032i
\(761\) 26.3930 3.97810i 0.956745 0.144206i 0.347932 0.937520i \(-0.386884\pi\)
0.608813 + 0.793314i \(0.291646\pi\)
\(762\) 32.9375 + 41.3024i 1.19320 + 1.49623i
\(763\) 0.474298 24.8702i 0.0171707 0.900361i
\(764\) 62.3937 78.2393i 2.25733 2.83060i
\(765\) 1.78123 3.08519i 0.0644007 0.111545i
\(766\) 25.7853 + 44.6614i 0.931661 + 1.61368i
\(767\) −7.06031 1.06417i −0.254933 0.0384250i
\(768\) 91.6924 + 85.0781i 3.30866 + 3.06999i
\(769\) −28.1830 + 13.5722i −1.01631 + 0.489427i −0.866441 0.499279i \(-0.833598\pi\)
−0.149865 + 0.988706i \(0.547884\pi\)
\(770\) 4.39597 + 15.2799i 0.158420 + 0.550650i
\(771\) −1.09411 0.526895i −0.0394033 0.0189756i
\(772\) 10.1952 + 25.9770i 0.366934 + 0.934931i
\(773\) 0.0565074 + 0.754039i