Properties

Label 637.2.bl.b.53.1
Level $637$
Weight $2$
Character 637.53
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 53.1
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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 −0.902156 0.431410i \(-0.858016\pi\)
−0.731183 0.682181i \(-0.761031\pi\)
\(3\) 0.887307 + 0.823300i 0.512287 + 0.475333i 0.893442 0.449178i \(-0.148283\pi\)
−0.381155 + 0.924511i \(0.624474\pi\)
\(4\) 2.12474 + 5.41374i 1.06237 + 2.70687i
\(5\) −0.535995 + 0.165332i −0.239704 + 0.0739389i −0.412280 0.911057i \(-0.635267\pi\)
0.172575 + 0.984996i \(0.444791\pi\)
\(6\) −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 −0.770765 0.637119i \(-0.780126\pi\)
0.857114 0.515127i \(-0.172255\pi\)
\(12\) −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 0.367276 0.930112i \(-0.380291\pi\)
0.625114 + 0.780533i \(0.285052\pi\)
\(18\) −2.14548 + 3.71609i −0.505695 + 0.875890i
\(19\) 1.37416 + 2.38012i 0.315254 + 0.546037i 0.979492 0.201485i \(-0.0645768\pi\)
−0.664237 + 0.747522i \(0.731243\pi\)
\(20\) −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 −0.313069 0.949731i \(-0.601357\pi\)
−0.579098 + 0.815258i \(0.696595\pi\)
\(24\) 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 0.440146 0.897926i \(-0.354927\pi\)
−0.973355 + 0.229304i \(0.926355\pi\)
\(30\) 0.949056 + 1.64381i 0.173273 + 0.300118i
\(31\) 4.15469 7.19614i 0.746205 1.29246i −0.203425 0.979091i \(-0.565207\pi\)
0.949630 0.313374i \(-0.101459\pi\)
\(32\) 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 −0.558878 0.829250i \(-0.688768\pi\)
0.973720 0.227750i \(-0.0731369\pi\)
\(38\) 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 0.813453 + 0.581631i \(0.197585\pi\)
−0.985256 + 0.171088i \(0.945272\pi\)
\(42\) −2.80162 8.50347i −0.432300 1.31211i
\(43\) −0.0580847 0.254486i −0.00885783 0.0388087i 0.970306 0.241881i \(-0.0777644\pi\)
−0.979164 + 0.203073i \(0.934907\pi\)
\(44\) 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 0.402977 0.915210i \(-0.367976\pi\)
−0.704721 + 0.709484i \(0.748928\pi\)
\(48\) −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 0.911510 + 0.411278i \(0.134918\pi\)
−0.388444 + 0.921473i \(0.626987\pi\)
\(54\) −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 0.705114 0.709094i \(-0.250896\pi\)
0.183145 + 0.983086i \(0.441372\pi\)
\(60\) 0.295079 3.93755i 0.0380945 0.508336i
\(61\) 5.35236 13.6376i 0.685300 1.74612i 0.0197014 0.999806i \(-0.493728\pi\)
0.665599 0.746310i \(-0.268176\pi\)
\(62\) −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 −0.866525 0.499134i \(-0.833652\pi\)
0.865525 + 0.500866i \(0.166985\pi\)
\(68\) 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 −0.226931 0.973911i \(-0.572869\pi\)
0.999990 + 0.00452569i \(0.00144058\pi\)
\(72\) −16.1904 2.44032i −1.90806 0.287594i
\(73\) −4.34693 + 2.96368i −0.508769 + 0.346873i −0.790341 0.612667i \(-0.790097\pi\)
0.281572 + 0.959540i \(0.409144\pi\)
\(74\) −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 0.983639 0.180153i \(-0.0576594\pi\)
−0.647837 + 0.761779i \(0.724326\pi\)
\(80\) 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 −0.0597793 0.998212i \(-0.519040\pi\)
−0.817705 + 0.575637i \(0.804754\pi\)
\(84\) −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 −0.970803 0.239880i \(-0.922892\pi\)
0.924207 0.381891i \(-0.124727\pi\)
\(90\) 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 0.996247 0.0865531i \(-0.0275852\pi\)
−0.0118615 + 0.999930i \(0.503776\pi\)
\(102\) −5.11574 13.0347i −0.506533 1.29063i
\(103\) −7.81184 + 2.40963i −0.769723 + 0.237428i −0.654653 0.755929i \(-0.727185\pi\)
−0.115070 + 0.993357i \(0.536709\pi\)
\(104\) 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 −0.998443 0.0557795i \(-0.982236\pi\)
0.978978 0.203967i \(-0.0653834\pi\)
\(108\) 30.5052 + 9.40961i 2.93536 + 0.905440i
\(109\) −0.702594 + 9.37546i −0.0672963 + 0.898006i 0.856752 + 0.515729i \(0.172479\pi\)
−0.924048 + 0.382277i \(0.875140\pi\)
\(110\) 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 0.519937 0.854205i \(-0.325955\pi\)
−0.343669 + 0.939091i \(0.611670\pi\)
\(114\) 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 0.995777 + 0.0918095i \(0.0292651\pi\)
−0.132073 + 0.991240i \(0.542163\pi\)
\(128\) 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 −0.341364 0.939931i \(-0.610889\pi\)
0.911793 + 0.410650i \(0.134698\pi\)
\(132\) 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 0.0724365 0.997373i \(-0.476923\pi\)
−0.501990 + 0.864873i \(0.667399\pi\)
\(138\) 1.09423 + 14.6015i 0.0931469 + 1.24296i
\(139\) −3.05123 + 13.3683i −0.258802 + 1.13388i 0.663733 + 0.747970i \(0.268971\pi\)
−0.922535 + 0.385914i \(0.873886\pi\)
\(140\) −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 0.788461 0.615084i \(-0.210878\pi\)
−0.284509 + 0.958673i \(0.591830\pi\)
\(150\) 11.6226 + 10.7842i 0.948983 + 0.880527i
\(151\) −3.87968 9.88526i −0.315724 0.804451i −0.997350 0.0727508i \(-0.976822\pi\)
0.681626 0.731701i \(-0.261273\pi\)
\(152\) 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 −0.307570 0.951526i \(-0.599516\pi\)
−0.790139 + 0.612927i \(0.789992\pi\)
\(158\) 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 −0.831452 0.555597i \(-0.812490\pi\)
0.491909 + 0.870647i \(0.336299\pi\)
\(164\) −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 0.484669 0.874698i \(-0.338940\pi\)
−0.960616 + 0.277878i \(0.910369\pi\)
\(168\) 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 −0.739073 0.673625i \(-0.764736\pi\)
−0.904793 + 0.425852i \(0.859974\pi\)
\(174\) −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 −0.828350 0.560210i \(-0.810720\pi\)
−0.626424 + 0.779482i \(0.715482\pi\)
\(180\) −3.67035 + 3.40559i −0.273572 + 0.253838i
\(181\) 16.4907 + 7.94151i 1.22575 + 0.590288i 0.930906 0.365259i \(-0.119020\pi\)
0.294839 + 0.955547i \(0.404734\pi\)
\(182\) 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 0.364195 0.931323i \(-0.381344\pi\)
0.825545 + 0.564337i \(0.190868\pi\)
\(192\) −20.4092 52.0018i −1.47291 3.75290i
\(193\) −3.51743 3.26370i −0.253190 0.234926i 0.543358 0.839501i \(-0.317153\pi\)
−0.796548 + 0.604575i \(0.793343\pi\)
\(194\) −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 0.937162 0.348894i \(-0.113443\pi\)
−0.277884 + 0.960615i \(0.589633\pi\)
\(200\) 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 0.633995 0.773338i \(-0.281414\pi\)
−0.209330 + 0.977845i \(0.567128\pi\)
\(212\) −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 −0.875775 0.482720i \(-0.839649\pi\)
0.665495 + 0.746402i \(0.268220\pi\)
\(224\) 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 −0.0968149 + 0.995302i \(0.530866\pi\)
−0.813550 + 0.581495i \(0.802468\pi\)
\(228\) −19.1309 + 2.88352i −1.26698 + 0.190966i
\(229\) 6.04052 5.60478i 0.399169 0.370375i −0.454893 0.890546i \(-0.650322\pi\)
0.854062 + 0.520172i \(0.174132\pi\)
\(230\) −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 −0.913829 0.406098i \(-0.866889\pi\)
0.946101 + 0.323871i \(0.104984\pi\)
\(234\) 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 0.994818 0.101667i \(-0.0324177\pi\)
−0.940412 + 0.340037i \(0.889561\pi\)
\(240\) 11.8024 3.64056i 0.761841 0.234997i
\(241\) −5.68431 14.4834i −0.366159 0.932957i −0.988637 0.150321i \(-0.951969\pi\)
0.622479 0.782637i \(-0.286126\pi\)
\(242\) 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 0.999331 0.0365700i \(-0.0116432\pi\)
−0.916233 + 0.400645i \(0.868786\pi\)
\(252\) 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 −0.941850 0.336034i \(-0.890914\pi\)
0.918986 + 0.394290i \(0.129009\pi\)
\(258\) −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 −0.953720 0.300698i \(-0.902781\pi\)
0.737272 + 0.675597i \(0.236114\pi\)
\(264\) −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 −0.906524 0.422154i \(-0.861274\pi\)
0.0617814 + 0.998090i \(0.480322\pi\)
\(270\) 7.11199 4.84888i 0.432822 0.295093i
\(271\) 15.0012 + 2.26106i 0.911255 + 0.137350i 0.587905 0.808930i \(-0.299953\pi\)
0.323350 + 0.946279i \(0.395191\pi\)
\(272\) −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 −0.194306 0.980941i \(-0.562245\pi\)
0.103464 + 0.994633i \(0.467007\pi\)
\(278\) 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 −0.653957 + 0.756531i \(0.726892\pi\)
−0.999216 + 0.0395950i \(0.987393\pi\)
\(282\) −3.09532 + 7.88676i −0.184324 + 0.469650i
\(283\) −1.90270 + 25.3898i −0.113104 + 1.50926i 0.595326 + 0.803484i \(0.297023\pi\)
−0.708430 + 0.705781i \(0.750596\pi\)
\(284\) 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 −0.567609 0.823298i \(-0.692132\pi\)
0.289782 + 0.957093i \(0.406417\pi\)
\(308\) 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 0.331192 0.943563i \(-0.392549\pi\)
0.594598 + 0.804023i \(0.297311\pi\)
\(312\) −6.45619 + 11.1825i −0.365510 + 0.633082i
\(313\) −3.19240 5.52941i −0.180445 0.312540i 0.761587 0.648063i \(-0.224421\pi\)
−0.942032 + 0.335522i \(0.891087\pi\)
\(314\) 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 0.311025 0.950402i \(-0.399328\pi\)
0.0170707 + 0.999854i \(0.494566\pi\)
\(318\) 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 0.0894402 + 0.995992i \(0.471492\pi\)
−0.743011 + 0.669279i \(0.766603\pi\)
\(332\) 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 −0.983817 0.179178i \(-0.942656\pi\)
0.808646 0.588296i \(-0.200201\pi\)
\(338\) −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 0.956872 + 0.290509i \(0.0938245\pi\)
−0.503841 + 0.863796i \(0.668080\pi\)
\(348\) 30.9796 9.55595i 1.66068 0.512253i
\(349\) −6.20511 27.1864i −0.332152 1.45525i −0.814955 0.579524i \(-0.803239\pi\)
0.482804 0.875729i \(-0.339619\pi\)
\(350\) 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 0.562646 0.826698i \(-0.309783\pi\)
−0.000815696 1.00000i \(0.500260\pi\)
\(354\) 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 −0.0413512 0.999145i \(-0.513166\pi\)
0.993261 + 0.115902i \(0.0369758\pi\)
\(360\) 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 −0.462789 0.886469i \(-0.653151\pi\)
0.656115 + 0.754661i \(0.272199\pi\)
\(368\) 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 0.997867 0.0652733i \(-0.0207919\pi\)
−0.555462 + 0.831542i \(0.687459\pi\)
\(374\) −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 −0.284515 0.958671i \(-0.591833\pi\)
0.572127 + 0.820165i \(0.306118\pi\)
\(380\) 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 0.914732 + 0.404060i \(0.132401\pi\)
−0.844293 + 0.535881i \(0.819979\pi\)
\(384\) −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 0.531735 0.846911i \(-0.321540\pi\)
−0.804806 + 0.593538i \(0.797731\pi\)
\(390\) −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 −0.534697 0.845044i \(-0.679574\pi\)
0.0342433 + 0.999414i \(0.489098\pi\)
\(398\) −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 0.663964 + 0.747765i \(0.268873\pi\)
−0.545099 + 0.838371i \(0.683508\pi\)
\(402\) 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 −0.515357 0.856975i \(-0.672341\pi\)
−0.239863 + 0.970807i \(0.577103\pi\)
\(410\) −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 0.123458 + 0.992350i \(0.460602\pi\)
−0.994942 + 0.100456i \(0.967970\pi\)
\(420\) −0.199198 10.4451i −0.00971988 0.509669i
\(421\) −8.58819 10.7693i −0.418563 0.524861i 0.527190 0.849747i \(-0.323245\pi\)
−0.945753 + 0.324886i \(0.894674\pi\)
\(422\) −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 −0.190029 0.981779i \(-0.560858\pi\)
−0.710065 + 0.704136i \(0.751334\pi\)
\(432\) 7.46224 + 99.5767i 0.359027 + 4.79089i
\(433\) −3.79981 + 16.6480i −0.182607 + 0.800054i 0.797776 + 0.602954i \(0.206010\pi\)
−0.980383 + 0.197100i \(0.936848\pi\)
\(434\) −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 0.981022 0.193897i \(-0.0621128\pi\)
0.177914 + 0.984046i \(0.443065\pi\)
\(440\) 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 0.754141 0.656713i \(-0.228054\pi\)
−0.335798 + 0.941934i \(0.609006\pi\)
\(444\) 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 −0.813959 0.580922i \(-0.802692\pi\)
0.985404 0.170229i \(-0.0544509\pi\)
\(450\) −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 −0.587211 0.809434i \(-0.699774\pi\)
0.763288 + 0.646058i \(0.223584\pi\)
\(458\) −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 0.668498 0.743714i \(-0.266938\pi\)
−0.873822 + 0.486245i \(0.838366\pi\)
\(462\) −33.2989 + 8.27131i −1.54921 + 0.384816i
\(463\) 13.9919 17.5453i 0.650259 0.815400i −0.341984 0.939706i \(-0.611099\pi\)
0.992244 + 0.124306i \(0.0396705\pi\)
\(464\) 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 −0.172889 0.984941i \(-0.555310\pi\)
−0.455525 + 0.890223i \(0.650548\pi\)
\(468\) −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 0.930913 + 0.365242i \(0.119014\pi\)
−0.974952 + 0.222417i \(0.928605\pi\)
\(480\) −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 0.803294 0.595582i \(-0.203079\pi\)
−0.533886 + 0.845556i \(0.679269\pi\)
\(488\) −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 0.993145 + 0.116888i \(0.0372917\pi\)
−0.964631 + 0.263603i \(0.915089\pi\)
\(500\) 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 0.480764 0.876850i \(-0.340359\pi\)
0.985300 + 0.170831i \(0.0546452\pi\)
\(504\) −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 0.523021 0.852320i \(-0.324805\pi\)
−0.999641 + 0.0267899i \(0.991471\pi\)
\(510\) 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 −0.974152 0.225894i \(-0.927470\pi\)
0.682706 + 0.730693i \(0.260803\pi\)
\(522\) 19.5409 2.94531i 0.855281 0.128913i
\(523\) −7.15441 + 6.63832i −0.312840 + 0.290273i −0.820928 0.571032i \(-0.806543\pi\)
0.508087 + 0.861306i \(0.330353\pi\)
\(524\) 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 0.953030 0.302875i \(-0.0979464\pi\)
0.0662430 + 0.997804i \(0.478899\pi\)
\(542\) −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 0.862164 + 0.506630i \(0.169109\pi\)
−0.996601 + 0.0823787i \(0.973748\pi\)
\(548\) −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 −0.932289 0.361715i \(-0.882191\pi\)
0.779399 + 0.626528i \(0.215525\pi\)
\(558\) 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 −0.464947 0.885338i \(-0.653927\pi\)
0.654274 + 0.756258i \(0.272974\pi\)
\(564\) 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 0.905758 0.423795i \(-0.139302\pi\)
−0.819897 + 0.572512i \(0.805969\pi\)
\(570\) −2.60831 + 4.51773i −0.109250 + 0.189227i
\(571\) 18.0030 2.71352i 0.753403 0.113557i 0.238898 0.971045i \(-0.423214\pi\)
0.514505 + 0.857487i \(0.327976\pi\)
\(572\) −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 −0.709921 0.704281i \(-0.751270\pi\)
0.806960 0.590606i \(-0.201111\pi\)
\(578\) −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 −0.0135701 0.999908i \(-0.504320\pi\)
0.552056 + 0.833807i \(0.313843\pi\)
\(594\) 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 0.899440 + 0.437043i \(0.143974\pi\)
−0.954532 + 0.298107i \(0.903645\pi\)
\(600\) −22.1029 + 56.3173i −0.902347 + 2.29914i
\(601\) 11.4325 5.50562i 0.466343 0.224579i −0.185930 0.982563i \(-0.559530\pi\)
0.652273 + 0.757984i \(0.273815\pi\)
\(602\) −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 0.850434 0.526082i \(-0.176339\pi\)
−0.880817 + 0.473457i \(0.843006\pi\)
\(608\) 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 −0.978392 0.206757i \(-0.933709\pi\)
−0.164982 + 0.986297i \(0.552757\pi\)
\(614\) 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 0.954279 0.298918i \(-0.0966258\pi\)
−0.503771 + 0.863837i \(0.668054\pi\)
\(618\) 13.8320 + 23.9577i 0.556404 + 0.963720i
\(619\) 1.06473 1.84416i 0.0427950 0.0741231i −0.843835 0.536603i \(-0.819707\pi\)
0.886630 + 0.462480i \(0.153040\pi\)
\(620\) −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 −0.931552 0.363609i \(-0.881544\pi\)
0.681535 0.731786i \(-0.261313\pi\)
\(632\) 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 0.981846 + 0.189678i \(0.0607444\pi\)
−0.590731 + 0.806869i \(0.701160\pi\)
\(642\) −8.71256 + 2.68747i −0.343857 + 0.106066i
\(643\) −3.62506 15.8824i −0.142958 0.626342i −0.994739 0.102443i \(-0.967334\pi\)
0.851780 0.523899i \(-0.175523\pi\)
\(644\) −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 −0.138355 0.990383i \(-0.544182\pi\)
−0.672217 + 0.740354i \(0.734658\pi\)
\(648\) 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 −0.976672 0.214738i \(-0.931110\pi\)
0.141150 + 0.989988i \(0.454920\pi\)
\(654\) 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 −0.969849 0.243706i \(-0.921637\pi\)
0.453408 + 0.891303i \(0.350208\pi\)
\(660\) −14.9631 2.25533i −0.582439 0.0877885i
\(661\) 34.5383 23.5478i 1.34338 0.915904i 0.343654 0.939096i \(-0.388335\pi\)
0.999731 + 0.0231923i \(0.00738299\pi\)
\(662\) 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 −0.615634 0.788032i \(-0.711100\pi\)
0.232266 + 0.972652i \(0.425386\pi\)
\(674\) −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 −0.568279 0.822836i \(-0.692391\pi\)
0.439295 0.898343i \(-0.355228\pi\)
\(678\) 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 0.604201 0.796832i \(-0.293492\pi\)
−0.749452 + 0.662059i \(0.769683\pi\)
\(684\) 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 −0.765265 0.643716i \(-0.777392\pi\)
−0.269673 + 0.962952i \(0.586916\pi\)
\(692\) −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 0.159646 0.987174i \(-0.448965\pi\)
−0.672266 + 0.740310i \(0.734679\pi\)
\(702\) 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 0.632802 0.774314i \(-0.281905\pi\)
0.376456 + 0.926435i \(0.377143\pi\)
\(710\) 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 −0.930112 0.367276i \(-0.880290\pi\)
0.296742 + 0.954958i \(0.404100\pi\)
\(720\) −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 −0.999958 0.00912088i \(-0.997097\pi\)
0.904889 + 0.425648i \(0.139954\pi\)
\(728\) 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 −0.333637 0.942701i \(-0.608276\pi\)
−0.999427 + 0.0338333i \(0.989228\pi\)
\(734\) −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 0.776151 0.630547i \(-0.217169\pi\)
−0.997840 + 0.0656933i \(0.979074\pi\)
\(740\) −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 0.497848 + 0.867264i \(0.334124\pi\)
−0.824838 + 0.565370i \(0.808734\pi\)
\(744\) −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 0.292424 0.956289i \(-0.405538\pi\)
0.975468 0.220143i \(-0.0706524\pi\)
\(752\) 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 −0.979219 0.202805i \(-0.934994\pi\)
0.415617 + 0.909540i \(0.363566\pi\)
\(758\) −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 0.608813 0.793314i \(-0.291646\pi\)
0.347932 + 0.937520i \(0.386884\pi\)
\(762\) 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 −0.149865 0.988706i \(-0.547884\pi\)
−0.866441 + 0.499279i \(0.833598\pi\)
\(770\) 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 0.00203243 0.0271209i −0.996095