Properties

Label 637.2.bl.b.53.28
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 53.28
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.28

$q$-expansion

\(f(q)\) \(=\) \(q+(2.27734 + 1.55266i) q^{2} +(-1.64682 - 1.52803i) q^{3} +(2.04482 + 5.21012i) q^{4} +(3.15635 - 0.973606i) q^{5} +(-1.37786 - 6.03678i) q^{6} +(-0.157452 + 2.64106i) q^{7} +(-2.20615 + 9.66579i) q^{8} +(0.152964 + 2.04116i) q^{9} +O(q^{10})\) \(q+(2.27734 + 1.55266i) q^{2} +(-1.64682 - 1.52803i) q^{3} +(2.04482 + 5.21012i) q^{4} +(3.15635 - 0.973606i) q^{5} +(-1.37786 - 6.03678i) q^{6} +(-0.157452 + 2.64106i) q^{7} +(-2.20615 + 9.66579i) q^{8} +(0.152964 + 2.04116i) q^{9} +(8.69976 + 2.68352i) q^{10} +(0.246240 - 3.28585i) q^{11} +(4.59375 - 11.7047i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-4.45925 + 5.77012i) q^{14} +(-6.68564 - 3.21963i) q^{15} +(-11.8260 + 10.9730i) q^{16} +(3.84221 - 0.579120i) q^{17} +(-2.82088 + 4.88590i) q^{18} +(1.43526 + 2.48594i) q^{19} +(11.5268 + 14.4541i) q^{20} +(4.29491 - 4.10876i) q^{21} +(5.66259 - 7.10066i) q^{22} +(-4.29295 - 0.647058i) q^{23} +(18.4027 - 12.5468i) q^{24} +(4.88346 - 3.32949i) q^{25} +(-2.72548 - 0.410801i) q^{26} +(-1.33502 + 1.67406i) q^{27} +(-14.0822 + 4.58016i) q^{28} +(0.847456 + 1.06268i) q^{29} +(-10.2265 - 17.7127i) q^{30} +(5.02617 - 8.70558i) q^{31} +(-24.3619 + 3.67197i) q^{32} +(-5.42638 + 5.03494i) q^{33} +(9.64918 + 4.64680i) q^{34} +(2.07438 + 8.48942i) q^{35} +(-10.3219 + 4.97076i) q^{36} +(-2.62863 + 6.69764i) q^{37} +(-0.591258 + 7.88979i) q^{38} +(2.14672 + 0.662175i) q^{39} +(2.44727 + 32.6565i) q^{40} +(0.276573 - 1.21174i) q^{41} +(16.1605 - 2.68850i) q^{42} +(-0.691842 - 3.03116i) q^{43} +(17.6232 - 5.43603i) q^{44} +(2.47009 + 6.29369i) q^{45} +(-8.77183 - 8.13907i) q^{46} +(-5.08918 - 3.46974i) q^{47} +36.2423 q^{48} +(-6.95042 - 0.831682i) q^{49} +16.2908 q^{50} +(-7.21234 - 4.91729i) q^{51} +(-4.10291 - 3.80694i) q^{52} +(1.88758 + 4.80947i) q^{53} +(-5.63955 + 1.73957i) q^{54} +(-2.42190 - 10.6110i) q^{55} +(-25.1806 - 7.34848i) q^{56} +(1.43497 - 6.28700i) q^{57} +(0.279966 + 3.73588i) q^{58} +(-6.62469 - 2.04345i) q^{59} +(3.10374 - 41.4166i) q^{60} +(4.53500 - 11.5550i) q^{61} +(24.9631 - 12.0216i) q^{62} +(-5.41491 + 0.0826017i) q^{63} +(-32.1116 - 15.4641i) q^{64} +(-2.42134 + 2.24668i) q^{65} +(-20.1753 + 3.04093i) q^{66} +(5.54457 - 9.60347i) q^{67} +(10.8739 + 18.8342i) q^{68} +(6.08100 + 7.62533i) q^{69} +(-8.45714 + 22.5541i) q^{70} +(-7.46067 + 9.35538i) q^{71} +(-20.0668 - 3.02459i) q^{72} +(0.694714 - 0.473648i) q^{73} +(-16.3854 + 11.1714i) q^{74} +(-13.1297 - 1.97899i) q^{75} +(-10.0172 + 12.5612i) q^{76} +(8.63936 + 1.16770i) q^{77} +(3.86067 + 4.84113i) q^{78} +(-5.29798 - 9.17638i) q^{79} +(-26.6438 + 46.1484i) q^{80} +(10.8286 - 1.63215i) q^{81} +(2.51128 - 2.33013i) q^{82} +(-9.66512 - 4.65448i) q^{83} +(30.1895 + 13.9753i) q^{84} +(11.5635 - 5.56870i) q^{85} +(3.13080 - 7.97716i) q^{86} +(0.228189 - 3.04497i) q^{87} +(31.2171 + 9.62919i) q^{88} +(-0.916329 - 12.2276i) q^{89} +(-4.14674 + 18.1681i) q^{90} +(-1.00405 - 2.44783i) q^{91} +(-5.40707 - 23.6899i) q^{92} +(-21.5795 + 6.65641i) q^{93} +(-6.20243 - 15.8035i) q^{94} +(6.95050 + 6.44912i) q^{95} +(45.7305 + 31.1786i) q^{96} -3.19724 q^{97} +(-14.5371 - 12.6857i) q^{98} +6.74460 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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.27734 + 1.55266i 1.61032 + 1.09790i 0.931590 + 0.363510i \(0.118422\pi\)
0.678730 + 0.734388i \(0.262531\pi\)
\(3\) −1.64682 1.52803i −0.950792 0.882206i 0.0423519 0.999103i \(-0.486515\pi\)
−0.993144 + 0.116897i \(0.962705\pi\)
\(4\) 2.04482 + 5.21012i 1.02241 + 2.60506i
\(5\) 3.15635 0.973606i 1.41156 0.435410i 0.507073 0.861903i \(-0.330727\pi\)
0.904491 + 0.426493i \(0.140251\pi\)
\(6\) −1.37786 6.03678i −0.562508 2.46451i
\(7\) −0.157452 + 2.64106i −0.0595113 + 0.998228i
\(8\) −2.20615 + 9.66579i −0.779993 + 3.41737i
\(9\) 0.152964 + 2.04116i 0.0509879 + 0.680386i
\(10\) 8.69976 + 2.68352i 2.75111 + 0.848604i
\(11\) 0.246240 3.28585i 0.0742443 0.990721i −0.828345 0.560218i \(-0.810717\pi\)
0.902589 0.430503i \(-0.141664\pi\)
\(12\) 4.59375 11.7047i 1.32610 3.37885i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −4.45925 + 5.77012i −1.19178 + 1.54213i
\(15\) −6.68564 3.21963i −1.72622 0.831306i
\(16\) −11.8260 + 10.9730i −2.95651 + 2.74324i
\(17\) 3.84221 0.579120i 0.931872 0.140457i 0.334477 0.942404i \(-0.391440\pi\)
0.597395 + 0.801947i \(0.296202\pi\)
\(18\) −2.82088 + 4.88590i −0.664887 + 1.15162i
\(19\) 1.43526 + 2.48594i 0.329271 + 0.570313i 0.982367 0.186961i \(-0.0598638\pi\)
−0.653097 + 0.757274i \(0.726531\pi\)
\(20\) 11.5268 + 14.4541i 2.57747 + 3.23204i
\(21\) 4.29491 4.10876i 0.937226 0.896606i
\(22\) 5.66259 7.10066i 1.20727 1.51387i
\(23\) −4.29295 0.647058i −0.895142 0.134921i −0.314670 0.949201i \(-0.601894\pi\)
−0.580472 + 0.814280i \(0.697132\pi\)
\(24\) 18.4027 12.5468i 3.75644 2.56110i
\(25\) 4.88346 3.32949i 0.976692 0.665897i
\(26\) −2.72548 0.410801i −0.534511 0.0805646i
\(27\) −1.33502 + 1.67406i −0.256925 + 0.322174i
\(28\) −14.0822 + 4.58016i −2.66129 + 0.865568i
\(29\) 0.847456 + 1.06268i 0.157369 + 0.197334i 0.854265 0.519838i \(-0.174008\pi\)
−0.696896 + 0.717172i \(0.745436\pi\)
\(30\) −10.2265 17.7127i −1.86709 3.23389i
\(31\) 5.02617 8.70558i 0.902726 1.56357i 0.0787853 0.996892i \(-0.474896\pi\)
0.823941 0.566676i \(-0.191771\pi\)
\(32\) −24.3619 + 3.67197i −4.30662 + 0.649118i
\(33\) −5.42638 + 5.03494i −0.944611 + 0.876471i
\(34\) 9.64918 + 4.64680i 1.65482 + 0.796920i
\(35\) 2.07438 + 8.48942i 0.350634 + 1.43497i
\(36\) −10.3219 + 4.97076i −1.72032 + 0.828460i
\(37\) −2.62863 + 6.69764i −0.432144 + 1.10108i 0.534547 + 0.845139i \(0.320482\pi\)
−0.966691 + 0.255946i \(0.917613\pi\)
\(38\) −0.591258 + 7.88979i −0.0959147 + 1.27989i
\(39\) 2.14672 + 0.662175i 0.343750 + 0.106033i
\(40\) 2.44727 + 32.6565i 0.386947 + 5.16345i
\(41\) 0.276573 1.21174i 0.0431934 0.189243i −0.948729 0.316092i \(-0.897629\pi\)
0.991922 + 0.126849i \(0.0404864\pi\)
\(42\) 16.1605 2.68850i 2.49361 0.414845i
\(43\) −0.691842 3.03116i −0.105505 0.462247i −0.999888 0.0149459i \(-0.995242\pi\)
0.894383 0.447301i \(-0.147615\pi\)
\(44\) 17.6232 5.43603i 2.65680 0.819513i
\(45\) 2.47009 + 6.29369i 0.368219 + 0.938207i
\(46\) −8.77183 8.13907i −1.29334 1.20004i
\(47\) −5.08918 3.46974i −0.742333 0.506114i 0.132115 0.991234i \(-0.457823\pi\)
−0.874447 + 0.485121i \(0.838776\pi\)
\(48\) 36.2423 5.23113
\(49\) −6.95042 0.831682i −0.992917 0.118812i
\(50\) 16.2908 2.30387
\(51\) −7.21234 4.91729i −1.00993 0.688558i
\(52\) −4.10291 3.80694i −0.568971 0.527928i
\(53\) 1.88758 + 4.80947i 0.259279 + 0.660632i 0.999937 0.0112506i \(-0.00358126\pi\)
−0.740658 + 0.671882i \(0.765486\pi\)
\(54\) −5.63955 + 1.73957i −0.767445 + 0.236725i
\(55\) −2.42190 10.6110i −0.326569 1.43079i
\(56\) −25.1806 7.34848i −3.36490 0.981983i
\(57\) 1.43497 6.28700i 0.190066 0.832734i
\(58\) 0.279966 + 3.73588i 0.0367613 + 0.490545i
\(59\) −6.62469 2.04345i −0.862461 0.266034i −0.168196 0.985754i \(-0.553794\pi\)
−0.694265 + 0.719720i \(0.744270\pi\)
\(60\) 3.10374 41.4166i 0.400691 5.34686i
\(61\) 4.53500 11.5550i 0.580647 1.47947i −0.274762 0.961512i \(-0.588599\pi\)
0.855409 0.517953i \(-0.173306\pi\)
\(62\) 24.9631 12.0216i 3.17032 1.52674i
\(63\) −5.41491 + 0.0826017i −0.682214 + 0.0104068i
\(64\) −32.1116 15.4641i −4.01395 1.93302i
\(65\) −2.42134 + 2.24668i −0.300331 + 0.278666i
\(66\) −20.1753 + 3.04093i −2.48340 + 0.374313i
\(67\) 5.54457 9.60347i 0.677377 1.17325i −0.298391 0.954444i \(-0.596450\pi\)
0.975768 0.218807i \(-0.0702166\pi\)
\(68\) 10.8739 + 18.8342i 1.31866 + 2.28398i
\(69\) 6.08100 + 7.62533i 0.732066 + 0.917982i
\(70\) −8.45714 + 22.5541i −1.01082 + 2.69573i
\(71\) −7.46067 + 9.35538i −0.885418 + 1.11028i 0.107818 + 0.994171i \(0.465614\pi\)
−0.993236 + 0.116109i \(0.962958\pi\)
\(72\) −20.0668 3.02459i −2.36490 0.356451i
\(73\) 0.694714 0.473648i 0.0813101 0.0554363i −0.521983 0.852956i \(-0.674807\pi\)
0.603293 + 0.797520i \(0.293855\pi\)
\(74\) −16.3854 + 11.1714i −1.90477 + 1.29865i
\(75\) −13.1297 1.97899i −1.51609 0.228514i
\(76\) −10.0172 + 12.5612i −1.14905 + 1.44086i
\(77\) 8.63936 + 1.16770i 0.984547 + 0.133072i
\(78\) 3.86067 + 4.84113i 0.437135 + 0.548150i
\(79\) −5.29798 9.17638i −0.596070 1.03242i −0.993395 0.114745i \(-0.963395\pi\)
0.397325 0.917678i \(-0.369939\pi\)
\(80\) −26.6438 + 46.1484i −2.97887 + 5.15955i
\(81\) 10.8286 1.63215i 1.20318 0.181350i
\(82\) 2.51128 2.33013i 0.277324 0.257319i
\(83\) −9.66512 4.65448i −1.06089 0.510895i −0.179727 0.983717i \(-0.557521\pi\)
−0.881158 + 0.472821i \(0.843236\pi\)
\(84\) 30.1895 + 13.9753i 3.29394 + 1.52483i
\(85\) 11.5635 5.56870i 1.25424 0.604011i
\(86\) 3.13080 7.97716i 0.337603 0.860199i
\(87\) 0.228189 3.04497i 0.0244644 0.326455i
\(88\) 31.2171 + 9.62919i 3.32775 + 1.02648i
\(89\) −0.916329 12.2276i −0.0971307 1.29612i −0.806480 0.591262i \(-0.798630\pi\)
0.709349 0.704857i \(-0.248989\pi\)
\(90\) −4.14674 + 18.1681i −0.437105 + 1.91508i
\(91\) −1.00405 2.44783i −0.105254 0.256602i
\(92\) −5.40707 23.6899i −0.563726 2.46984i
\(93\) −21.5795 + 6.65641i −2.23769 + 0.690237i
\(94\) −6.20243 15.8035i −0.639732 1.63001i
\(95\) 6.95050 + 6.44912i 0.713106 + 0.661666i
\(96\) 45.7305 + 31.1786i 4.66735 + 3.18215i
\(97\) −3.19724 −0.324631 −0.162315 0.986739i \(-0.551896\pi\)
−0.162315 + 0.986739i \(0.551896\pi\)
\(98\) −14.5371 12.6857i −1.46847 1.28145i
\(99\) 6.74460 0.677858
\(100\) 27.3328 + 18.6352i 2.73328 + 1.86352i
\(101\) −2.17460 2.01773i −0.216381 0.200772i 0.564534 0.825410i \(-0.309056\pi\)
−0.780914 + 0.624638i \(0.785247\pi\)
\(102\) −8.79003 22.3966i −0.870343 2.21760i
\(103\) 5.96267 1.83924i 0.587519 0.181226i 0.0132781 0.999912i \(-0.495773\pi\)
0.574241 + 0.818686i \(0.305297\pi\)
\(104\) −2.20615 9.66579i −0.216331 0.947808i
\(105\) 9.55592 17.1503i 0.932563 1.67369i
\(106\) −3.16883 + 13.8836i −0.307784 + 1.34849i
\(107\) 0.862305 + 11.5067i 0.0833622 + 1.11239i 0.869366 + 0.494169i \(0.164528\pi\)
−0.786003 + 0.618222i \(0.787853\pi\)
\(108\) −11.4520 3.53246i −1.10196 0.339911i
\(109\) 0.497862 6.64351i 0.0476865 0.636332i −0.921242 0.388991i \(-0.872824\pi\)
0.968928 0.247342i \(-0.0795571\pi\)
\(110\) 10.9599 27.9253i 1.04498 2.66257i
\(111\) 14.5630 7.01319i 1.38226 0.665663i
\(112\) −27.1182 32.9610i −2.56243 3.11452i
\(113\) 11.9973 + 5.77760i 1.12861 + 0.543511i 0.902543 0.430600i \(-0.141698\pi\)
0.226070 + 0.974111i \(0.427412\pi\)
\(114\) 13.0295 12.0896i 1.22032 1.13230i
\(115\) −14.1800 + 2.13730i −1.32230 + 0.199304i
\(116\) −3.80377 + 6.58833i −0.353171 + 0.611711i
\(117\) −1.02344 1.77265i −0.0946171 0.163882i
\(118\) −11.9139 14.9395i −1.09676 1.37529i
\(119\) 0.924527 + 10.2387i 0.0847513 + 0.938579i
\(120\) 45.8698 57.5190i 4.18732 5.25074i
\(121\) 0.140965 + 0.0212470i 0.0128150 + 0.00193155i
\(122\) 28.2687 19.2733i 2.55933 1.74492i
\(123\) −2.30704 + 1.57291i −0.208019 + 0.141825i
\(124\) 55.6347 + 8.38558i 4.99614 + 0.753048i
\(125\) 1.87507 2.35126i 0.167711 0.210303i
\(126\) −12.4598 8.21941i −1.11001 0.732243i
\(127\) −3.84555 4.82217i −0.341237 0.427898i 0.581370 0.813640i \(-0.302517\pi\)
−0.922607 + 0.385742i \(0.873946\pi\)
\(128\) −24.4813 42.4029i −2.16386 3.74792i
\(129\) −3.49235 + 6.04892i −0.307484 + 0.532578i
\(130\) −9.00255 + 1.35692i −0.789576 + 0.119009i
\(131\) −1.68741 + 1.56568i −0.147429 + 0.136794i −0.750440 0.660939i \(-0.770158\pi\)
0.603010 + 0.797733i \(0.293968\pi\)
\(132\) −37.3286 17.9765i −3.24904 1.56466i
\(133\) −6.79150 + 3.39919i −0.588898 + 0.294747i
\(134\) 27.5378 13.2615i 2.37890 1.14562i
\(135\) −2.58392 + 6.58372i −0.222388 + 0.566636i
\(136\) −2.87885 + 38.4156i −0.246859 + 3.29411i
\(137\) −0.723317 0.223114i −0.0617972 0.0190619i 0.263702 0.964604i \(-0.415056\pi\)
−0.325500 + 0.945542i \(0.605532\pi\)
\(138\) 2.00892 + 26.8072i 0.171011 + 2.28198i
\(139\) 0.302257 1.32427i 0.0256371 0.112323i −0.960490 0.278313i \(-0.910225\pi\)
0.986127 + 0.165990i \(0.0530818\pi\)
\(140\) −39.9892 + 28.1671i −3.37970 + 2.38056i
\(141\) 3.07910 + 13.4904i 0.259307 + 1.13610i
\(142\) −31.5162 + 9.72146i −2.64478 + 0.815807i
\(143\) 1.20382 + 3.06729i 0.100669 + 0.256500i
\(144\) −24.2065 22.4603i −2.01721 1.87169i
\(145\) 3.70950 + 2.52909i 0.308057 + 0.210030i
\(146\) 2.31751 0.191799
\(147\) 10.1753 + 11.9900i 0.839241 + 0.988923i
\(148\) −40.2706 −3.31022
\(149\) 7.07436 + 4.82322i 0.579554 + 0.395133i 0.817316 0.576190i \(-0.195461\pi\)
−0.237761 + 0.971324i \(0.576414\pi\)
\(150\) −26.8281 24.8928i −2.19050 2.03249i
\(151\) 5.96143 + 15.1895i 0.485134 + 1.23610i 0.938655 + 0.344856i \(0.112072\pi\)
−0.453521 + 0.891245i \(0.649832\pi\)
\(152\) −27.1949 + 8.38853i −2.20580 + 0.680400i
\(153\) 1.76979 + 7.75397i 0.143079 + 0.626871i
\(154\) 17.8617 + 16.0733i 1.43934 + 1.29522i
\(155\) 7.38855 32.3714i 0.593463 2.60013i
\(156\) 0.939645 + 12.5387i 0.0752318 + 1.00390i
\(157\) −20.6645 6.37416i −1.64921 0.508713i −0.675664 0.737210i \(-0.736143\pi\)
−0.973545 + 0.228496i \(0.926619\pi\)
\(158\) 2.18252 29.1237i 0.173632 2.31696i
\(159\) 4.24050 10.8046i 0.336293 0.856861i
\(160\) −73.3197 + 35.3089i −5.79643 + 2.79141i
\(161\) 2.38486 11.2361i 0.187953 0.885526i
\(162\) 27.1946 + 13.0962i 2.13661 + 1.02894i
\(163\) −8.26316 + 7.66709i −0.647220 + 0.600533i −0.933918 0.357489i \(-0.883633\pi\)
0.286697 + 0.958021i \(0.407443\pi\)
\(164\) 6.87887 1.03682i 0.537150 0.0809623i
\(165\) −12.2255 + 21.1752i −0.951755 + 1.64849i
\(166\) −14.7839 25.6065i −1.14745 1.98745i
\(167\) 11.3612 + 14.2464i 0.879153 + 1.10242i 0.994037 + 0.109044i \(0.0347790\pi\)
−0.114884 + 0.993379i \(0.536650\pi\)
\(168\) 30.2392 + 50.5782i 2.33301 + 3.90219i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 34.9804 + 5.27244i 2.68287 + 0.404378i
\(171\) −4.85465 + 3.30984i −0.371244 + 0.253110i
\(172\) 14.3780 9.80275i 1.09631 0.747453i
\(173\) −8.36325 1.26056i −0.635846 0.0958383i −0.176794 0.984248i \(-0.556573\pi\)
−0.459052 + 0.888410i \(0.651811\pi\)
\(174\) 5.24747 6.58012i 0.397810 0.498838i
\(175\) 8.02447 + 13.4218i 0.606593 + 1.01459i
\(176\) 33.1434 + 41.5606i 2.49828 + 3.13274i
\(177\) 7.78723 + 13.4879i 0.585324 + 1.01381i
\(178\) 16.8985 29.2690i 1.26659 2.19381i
\(179\) −4.65371 + 0.701434i −0.347834 + 0.0524276i −0.320636 0.947202i \(-0.603897\pi\)
−0.0271984 + 0.999630i \(0.508659\pi\)
\(180\) −27.7400 + 25.7389i −2.06761 + 1.91847i
\(181\) 5.08039 + 2.44659i 0.377623 + 0.181853i 0.613061 0.790036i \(-0.289938\pi\)
−0.235438 + 0.971889i \(0.575652\pi\)
\(182\) 1.51408 7.13349i 0.112231 0.528770i
\(183\) −25.1247 + 12.0994i −1.85727 + 0.894413i
\(184\) 15.7252 40.0672i 1.15928 2.95380i
\(185\) −1.77602 + 23.6994i −0.130576 + 1.74241i
\(186\) −59.4790 18.3468i −4.36121 1.34526i
\(187\) −0.956793 12.7675i −0.0699677 0.933654i
\(188\) 7.67131 33.6102i 0.559488 2.45128i
\(189\) −4.21110 3.78946i −0.306313 0.275643i
\(190\) 5.81532 + 25.4786i 0.421888 + 1.84841i
\(191\) −22.9519 + 7.07973i −1.66074 + 0.512271i −0.976231 0.216731i \(-0.930461\pi\)
−0.684512 + 0.729002i \(0.739984\pi\)
\(192\) 29.2525 + 74.5341i 2.11112 + 5.37903i
\(193\) 13.7168 + 12.7273i 0.987355 + 0.916131i 0.996480 0.0838271i \(-0.0267143\pi\)
−0.00912563 + 0.999958i \(0.502905\pi\)
\(194\) −7.28119 4.96423i −0.522759 0.356411i
\(195\) 7.42050 0.531393
\(196\) −9.87920 37.9132i −0.705657 2.70808i
\(197\) 15.9994 1.13991 0.569956 0.821675i \(-0.306960\pi\)
0.569956 + 0.821675i \(0.306960\pi\)
\(198\) 15.3597 + 10.4721i 1.09157 + 0.744219i
\(199\) 6.86157 + 6.36661i 0.486404 + 0.451317i 0.884851 0.465874i \(-0.154260\pi\)
−0.398447 + 0.917191i \(0.630451\pi\)
\(200\) 21.4084 + 54.5478i 1.51381 + 3.85711i
\(201\) −23.8053 + 7.34295i −1.67909 + 0.517932i
\(202\) −1.81944 7.97147i −0.128015 0.560871i
\(203\) −2.94003 + 2.07086i −0.206349 + 0.145346i
\(204\) 10.8717 47.6321i 0.761173 3.33491i
\(205\) −0.306800 4.09396i −0.0214279 0.285935i
\(206\) 16.4347 + 5.06944i 1.14506 + 0.353205i
\(207\) 0.664082 8.86156i 0.0461569 0.615921i
\(208\) 5.89390 15.0174i 0.408669 1.04127i
\(209\) 8.52184 4.10390i 0.589468 0.283873i
\(210\) 48.3906 24.2198i 3.33927 1.67132i
\(211\) 1.47202 + 0.708885i 0.101338 + 0.0488017i 0.483866 0.875142i \(-0.339232\pi\)
−0.382528 + 0.923944i \(0.624947\pi\)
\(212\) −21.1982 + 19.6690i −1.45590 + 1.35087i
\(213\) 26.5816 4.00654i 1.82134 0.274524i
\(214\) −15.9022 + 27.5434i −1.08705 + 1.88283i
\(215\) −5.13485 8.89382i −0.350194 0.606553i
\(216\) −13.2359 16.5973i −0.900587 1.12930i
\(217\) 22.2006 + 14.6451i 1.50707 + 0.994176i
\(218\) 11.4489 14.3565i 0.775419 0.972344i
\(219\) −1.86782 0.281528i −0.126215 0.0190239i
\(220\) 50.3324 34.3161i 3.39341 2.31359i
\(221\) −3.21044 + 2.18884i −0.215958 + 0.147237i
\(222\) 44.0541 + 6.64008i 2.95672 + 0.445653i
\(223\) 2.57880 3.23372i 0.172689 0.216546i −0.687953 0.725755i \(-0.741491\pi\)
0.860643 + 0.509209i \(0.170062\pi\)
\(224\) −5.86206 64.9195i −0.391675 4.33761i
\(225\) 7.54300 + 9.45862i 0.502866 + 0.630575i
\(226\) 18.3513 + 31.7853i 1.22071 + 2.11433i
\(227\) −11.4120 + 19.7662i −0.757441 + 1.31193i 0.186710 + 0.982415i \(0.440218\pi\)
−0.944151 + 0.329512i \(0.893116\pi\)
\(228\) 35.6903 5.37945i 2.36365 0.356263i
\(229\) −8.43854 + 7.82982i −0.557634 + 0.517409i −0.907870 0.419253i \(-0.862292\pi\)
0.350235 + 0.936662i \(0.386102\pi\)
\(230\) −35.6112 17.1495i −2.34814 1.13080i
\(231\) −12.4432 15.1242i −0.818703 0.995097i
\(232\) −12.1412 + 5.84690i −0.797110 + 0.383868i
\(233\) 5.12552 13.0596i 0.335784 0.855564i −0.658866 0.752260i \(-0.728964\pi\)
0.994650 0.103303i \(-0.0329412\pi\)
\(234\) 0.421609 5.62598i 0.0275614 0.367782i
\(235\) −19.4414 5.99688i −1.26822 0.391193i
\(236\) −2.89971 38.6939i −0.188755 2.51876i
\(237\) −5.29692 + 23.2073i −0.344072 + 1.50748i
\(238\) −13.7918 + 24.7524i −0.893988 + 1.60446i
\(239\) 4.33989 + 19.0143i 0.280724 + 1.22993i 0.896867 + 0.442299i \(0.145837\pi\)
−0.616143 + 0.787634i \(0.711306\pi\)
\(240\) 114.394 35.2857i 7.38407 2.27768i
\(241\) 7.69605 + 19.6092i 0.495746 + 1.26314i 0.931719 + 0.363181i \(0.118309\pi\)
−0.435972 + 0.899960i \(0.643595\pi\)
\(242\) 0.288035 + 0.267257i 0.0185156 + 0.0171800i
\(243\) −15.0193 10.2400i −0.963488 0.656895i
\(244\) 69.4762 4.44776
\(245\) −22.7477 + 4.14189i −1.45330 + 0.264615i
\(246\) −7.69612 −0.490686
\(247\) −2.37173 1.61702i −0.150910 0.102888i
\(248\) 73.0577 + 67.7877i 4.63917 + 4.30452i
\(249\) 8.80456 + 22.4337i 0.557966 + 1.42167i
\(250\) 7.92086 2.44326i 0.500959 0.154526i
\(251\) 2.17759 + 9.54062i 0.137448 + 0.602199i 0.995991 + 0.0894568i \(0.0285131\pi\)
−0.858543 + 0.512742i \(0.828630\pi\)
\(252\) −11.5029 28.0434i −0.724614 1.76657i
\(253\) −3.18323 + 13.9467i −0.200128 + 0.876819i
\(254\) −1.27042 16.9525i −0.0797130 1.06370i
\(255\) −27.5522 8.49872i −1.72538 0.532211i
\(256\) 4.75820 63.4938i 0.297388 3.96836i
\(257\) −2.00203 + 5.10109i −0.124883 + 0.318197i −0.979619 0.200867i \(-0.935624\pi\)
0.854735 + 0.519064i \(0.173719\pi\)
\(258\) −17.3452 + 8.35300i −1.07986 + 0.520035i
\(259\) −17.2750 7.99693i −1.07342 0.496905i
\(260\) −16.6567 8.02143i −1.03300 0.497468i
\(261\) −2.03946 + 1.89234i −0.126239 + 0.117133i
\(262\) −6.27377 + 0.945618i −0.387595 + 0.0584205i
\(263\) 14.7015 25.4638i 0.906534 1.57016i 0.0876888 0.996148i \(-0.472052\pi\)
0.818845 0.574015i \(-0.194615\pi\)
\(264\) −36.6953 63.5581i −2.25844 3.91173i
\(265\) 10.6404 + 13.3426i 0.653634 + 0.819631i
\(266\) −20.7443 2.80381i −1.27192 0.171913i
\(267\) −17.1750 + 21.5368i −1.05109 + 1.31803i
\(268\) 61.3729 + 9.25048i 3.74895 + 0.565063i
\(269\) 0.813053 0.554330i 0.0495727 0.0337981i −0.538280 0.842766i \(-0.680926\pi\)
0.587853 + 0.808968i \(0.299973\pi\)
\(270\) −16.1067 + 10.9814i −0.980225 + 0.668306i
\(271\) 12.8662 + 1.93927i 0.781565 + 0.117802i 0.527692 0.849436i \(-0.323057\pi\)
0.253873 + 0.967238i \(0.418295\pi\)
\(272\) −39.0834 + 49.0091i −2.36978 + 2.97161i
\(273\) −2.08685 + 5.56536i −0.126302 + 0.336831i
\(274\) −1.30082 1.63117i −0.0785852 0.0985427i
\(275\) −9.73769 16.8662i −0.587205 1.01707i
\(276\) −27.2943 + 47.2752i −1.64293 + 2.84563i
\(277\) 2.67476 0.403155i 0.160711 0.0242232i −0.0681941 0.997672i \(-0.521724\pi\)
0.228905 + 0.973449i \(0.426486\pi\)
\(278\) 2.74449 2.54652i 0.164604 0.152730i
\(279\) 18.5383 + 8.92756i 1.10986 + 0.534479i
\(280\) −86.6333 + 1.32155i −5.17733 + 0.0789776i
\(281\) −6.00696 + 2.89280i −0.358345 + 0.172570i −0.604390 0.796688i \(-0.706583\pi\)
0.246045 + 0.969258i \(0.420869\pi\)
\(282\) −13.9339 + 35.5031i −0.829753 + 2.11418i
\(283\) −0.736606 + 9.82933i −0.0437867 + 0.584293i 0.931556 + 0.363598i \(0.118452\pi\)
−0.975343 + 0.220695i \(0.929167\pi\)
\(284\) −63.9984 19.7409i −3.79761 1.17141i
\(285\) −1.59180 21.2411i −0.0942901 1.25821i
\(286\) −2.02095 + 8.85438i −0.119501 + 0.523570i
\(287\) 3.15674 + 0.921237i 0.186337 + 0.0543789i
\(288\) −11.2215 49.1648i −0.661236 2.89706i
\(289\) −1.81755 + 0.560641i −0.106915 + 0.0329789i
\(290\) 4.52095 + 11.5192i 0.265479 + 0.676430i
\(291\) 5.26528 + 4.88547i 0.308656 + 0.286391i
\(292\) 3.88833 + 2.65102i 0.227547 + 0.155139i
\(293\) −21.1959 −1.23828 −0.619139 0.785282i \(-0.712518\pi\)
−0.619139 + 0.785282i \(0.712518\pi\)
\(294\) 4.55600 + 43.1041i 0.265711 + 2.51388i
\(295\) −22.8994 −1.33325
\(296\) −58.9388 40.1838i −3.42575 2.33563i
\(297\) 5.17198 + 4.79890i 0.300109 + 0.278460i
\(298\) 8.62188 + 21.9682i 0.499452 + 1.27258i
\(299\) 4.14856 1.27966i 0.239918 0.0740048i
\(300\) −16.5372 72.4541i −0.954774 4.18314i
\(301\) 8.11440 1.34993i 0.467706 0.0778089i
\(302\) −10.0079 + 43.8476i −0.575892 + 2.52315i
\(303\) 0.498025 + 6.64569i 0.0286108 + 0.381785i
\(304\) −44.2515 13.6498i −2.53800 0.782868i
\(305\) 3.06405 40.8869i 0.175447 2.34118i
\(306\) −8.00888 + 20.4063i −0.457837 + 1.16655i
\(307\) 13.7433 6.61842i 0.784372 0.377733i 0.00156514 0.999999i \(-0.499502\pi\)
0.782806 + 0.622265i \(0.213788\pi\)
\(308\) 11.5821 + 47.3999i 0.659951 + 2.70086i
\(309\) −12.6299 6.08222i −0.718487 0.346005i
\(310\) 67.0880 62.2486i 3.81034 3.53548i
\(311\) −9.20049 + 1.38675i −0.521712 + 0.0786354i −0.404619 0.914486i \(-0.632596\pi\)
−0.117093 + 0.993121i \(0.537358\pi\)
\(312\) −11.1364 + 19.2889i −0.630476 + 1.09202i
\(313\) 14.6867 + 25.4380i 0.830139 + 1.43784i 0.897928 + 0.440143i \(0.145072\pi\)
−0.0677887 + 0.997700i \(0.521594\pi\)
\(314\) −37.1632 46.6011i −2.09724 2.62985i
\(315\) −17.0109 + 5.53271i −0.958458 + 0.311733i
\(316\) 36.9766 46.3672i 2.08010 2.60836i
\(317\) −4.77463 0.719660i −0.268170 0.0404201i 0.0135806 0.999908i \(-0.495677\pi\)
−0.281751 + 0.959488i \(0.590915\pi\)
\(318\) 26.4329 18.0217i 1.48229 1.01061i
\(319\) 3.70047 2.52294i 0.207187 0.141257i
\(320\) −116.412 17.5462i −6.50761 0.980864i
\(321\) 16.1624 20.2670i 0.902098 1.13120i
\(322\) 22.8769 21.8854i 1.27488 1.21963i
\(323\) 6.95421 + 8.72031i 0.386943 + 0.485211i
\(324\) 30.6463 + 53.0809i 1.70257 + 2.94894i
\(325\) −2.95523 + 5.11862i −0.163927 + 0.283930i
\(326\) −30.7224 + 4.63065i −1.70156 + 0.256468i
\(327\) −10.9713 + 10.1799i −0.606716 + 0.562951i
\(328\) 11.1023 + 5.34658i 0.613022 + 0.295216i
\(329\) 9.96510 12.8945i 0.549394 0.710897i
\(330\) −60.7195 + 29.2410i −3.34250 + 1.60966i
\(331\) 3.57810 9.11684i 0.196670 0.501107i −0.798185 0.602412i \(-0.794207\pi\)
0.994855 + 0.101305i \(0.0323018\pi\)
\(332\) 4.48694 59.8740i 0.246253 3.28601i
\(333\) −14.0730 4.34095i −0.771197 0.237883i
\(334\) 3.75328 + 50.0840i 0.205370 + 2.74047i
\(335\) 8.15061 35.7102i 0.445316 1.95106i
\(336\) −5.70643 + 95.7182i −0.311311 + 5.22186i
\(337\) −4.72877 20.7181i −0.257592 1.12859i −0.923817 0.382835i \(-0.874948\pi\)
0.666225 0.745751i \(-0.267909\pi\)
\(338\) 2.63382 0.812425i 0.143261 0.0441901i
\(339\) −10.9291 27.8469i −0.593587 1.51244i
\(340\) 52.6590 + 48.8604i 2.85583 + 2.64983i
\(341\) −27.3676 18.6589i −1.48204 1.01044i
\(342\) −16.1947 −0.875711
\(343\) 3.29088 18.2255i 0.177691 0.984086i
\(344\) 30.8248 1.66196
\(345\) 26.6178 + 18.1477i 1.43306 + 0.977041i
\(346\) −17.0887 15.8560i −0.918695 0.852424i
\(347\) 8.24066 + 20.9969i 0.442382 + 1.12717i 0.962067 + 0.272813i \(0.0879539\pi\)
−0.519685 + 0.854358i \(0.673951\pi\)
\(348\) 16.3313 5.03753i 0.875448 0.270040i
\(349\) −1.61907 7.09363i −0.0866670 0.379713i 0.912929 0.408117i \(-0.133815\pi\)
−0.999597 + 0.0284042i \(0.990957\pi\)
\(350\) −2.56503 + 43.0251i −0.137107 + 2.29979i
\(351\) 0.476463 2.08752i 0.0254317 0.111424i
\(352\) 6.06664 + 80.9537i 0.323353 + 4.31485i
\(353\) 14.1289 + 4.35818i 0.752004 + 0.231963i 0.646980 0.762507i \(-0.276032\pi\)
0.105024 + 0.994470i \(0.466508\pi\)
\(354\) −3.20797 + 42.8074i −0.170502 + 2.27519i
\(355\) −14.4400 + 36.7926i −0.766398 + 1.95275i
\(356\) 61.8333 29.7774i 3.27716 1.57820i
\(357\) 14.1225 18.2740i 0.747440 0.967162i
\(358\) −11.6871 5.62823i −0.617685 0.297461i
\(359\) 1.67771 1.55669i 0.0885462 0.0821588i −0.634658 0.772793i \(-0.718859\pi\)
0.723204 + 0.690634i \(0.242669\pi\)
\(360\) −66.2828 + 9.99053i −3.49341 + 0.526547i
\(361\) 5.38007 9.31856i 0.283162 0.490451i
\(362\) 7.77104 + 13.4598i 0.408437 + 0.707433i
\(363\) −0.199678 0.250388i −0.0104804 0.0131420i
\(364\) 10.7004 10.2366i 0.560852 0.536545i
\(365\) 1.73162 2.17138i 0.0906369 0.113655i
\(366\) −76.0036 11.4557i −3.97277 0.598799i
\(367\) 6.26751 4.27312i 0.327161 0.223055i −0.388589 0.921411i \(-0.627037\pi\)
0.715750 + 0.698356i \(0.246085\pi\)
\(368\) 57.8687 39.4542i 3.01662 2.05669i
\(369\) 2.51567 + 0.379176i 0.130960 + 0.0197391i
\(370\) −40.8417 + 51.2138i −2.12326 + 2.66248i
\(371\) −12.9993 + 4.22795i −0.674891 + 0.219504i
\(372\) −78.8070 98.8208i −4.08595 5.12362i
\(373\) −9.66643 16.7427i −0.500509 0.866907i −1.00000 0.000587627i \(-0.999813\pi\)
0.499491 0.866319i \(-0.333520\pi\)
\(374\) 17.6447 30.5615i 0.912386 1.58030i
\(375\) −6.68068 + 1.00695i −0.344989 + 0.0519987i
\(376\) 44.7653 41.5361i 2.30859 2.14206i
\(377\) −1.22461 0.589741i −0.0630706 0.0303732i
\(378\) −3.70635 15.1683i −0.190634 0.780173i
\(379\) 15.0673 7.25601i 0.773953 0.372716i −0.00484719 0.999988i \(-0.501543\pi\)
0.778800 + 0.627272i \(0.215829\pi\)
\(380\) −19.3882 + 49.4003i −0.994592 + 2.53418i
\(381\) −1.03547 + 13.8173i −0.0530486 + 0.707884i
\(382\) −63.2617 19.5136i −3.23675 0.998405i
\(383\) 0.133073 + 1.77574i 0.00679971 + 0.0907358i 0.999571 0.0292848i \(-0.00932297\pi\)
−0.992771 + 0.120021i \(0.961704\pi\)
\(384\) −24.4764 + 107.238i −1.24906 + 5.47247i
\(385\) 28.4058 4.72566i 1.44769 0.240842i
\(386\) 11.4765 + 50.2819i 0.584139 + 2.55928i
\(387\) 6.08124 1.87581i 0.309127 0.0953530i
\(388\) −6.53778 16.6580i −0.331906 0.845682i
\(389\) −23.4060 21.7176i −1.18673 1.10113i −0.992759 0.120120i \(-0.961672\pi\)
−0.193973 0.981007i \(-0.562137\pi\)
\(390\) 16.8990 + 11.5215i 0.855713 + 0.583415i
\(391\) −16.8691 −0.853109
\(392\) 23.3725 65.3464i 1.18049 3.30049i
\(393\) 5.17126 0.260856
\(394\) 36.4361 + 24.8417i 1.83562 + 1.25151i
\(395\) −25.6565 23.8057i −1.29092 1.19780i
\(396\) 13.7915 + 35.1402i 0.693049 + 1.76586i
\(397\) −7.61417 + 2.34866i −0.382144 + 0.117876i −0.479875 0.877337i \(-0.659318\pi\)
0.0977306 + 0.995213i \(0.468842\pi\)
\(398\) 5.74092 + 25.1526i 0.287766 + 1.26079i
\(399\) 16.3784 + 4.77974i 0.819947 + 0.239286i
\(400\) −21.2177 + 92.9606i −1.06088 + 4.64803i
\(401\) −0.100066 1.33529i −0.00499708 0.0666814i 0.994148 0.108029i \(-0.0344539\pi\)
−0.999145 + 0.0413476i \(0.986835\pi\)
\(402\) −65.6137 20.2392i −3.27251 1.00944i
\(403\) −0.751212 + 10.0242i −0.0374205 + 0.499342i
\(404\) 6.06596 15.4558i 0.301793 0.768956i
\(405\) 32.5898 15.6944i 1.61940 0.779863i
\(406\) −9.91078 + 0.151184i −0.491864 + 0.00750314i
\(407\) 21.3602 + 10.2865i 1.05878 + 0.509883i
\(408\) 63.4410 58.8646i 3.14080 2.91423i
\(409\) 21.7967 3.28532i 1.07778 0.162449i 0.413923 0.910312i \(-0.364158\pi\)
0.663853 + 0.747863i \(0.268920\pi\)
\(410\) 5.65785 9.79969i 0.279422 0.483972i
\(411\) 0.850250 + 1.47268i 0.0419397 + 0.0726417i
\(412\) 21.7753 + 27.3053i 1.07279 + 1.34524i
\(413\) 6.43994 17.1745i 0.316889 0.845100i
\(414\) 15.2714 19.1497i 0.750546 0.941155i
\(415\) −35.0382 5.28115i −1.71996 0.259242i
\(416\) 20.3561 13.8786i 0.998040 0.680452i
\(417\) −2.52129 + 1.71899i −0.123468 + 0.0841791i
\(418\) 25.7791 + 3.88557i 1.26090 + 0.190049i
\(419\) −0.0611198 + 0.0766419i −0.00298590 + 0.00374420i −0.783322 0.621616i \(-0.786476\pi\)
0.780336 + 0.625360i \(0.215048\pi\)
\(420\) 108.895 + 14.7183i 5.31353 + 0.718180i
\(421\) 12.4497 + 15.6114i 0.606761 + 0.760854i 0.986415 0.164275i \(-0.0525283\pi\)
−0.379654 + 0.925129i \(0.623957\pi\)
\(422\) 2.25162 + 3.89991i 0.109607 + 0.189845i
\(423\) 6.30383 10.9186i 0.306503 0.530878i
\(424\) −50.6516 + 7.63450i −2.45986 + 0.370764i
\(425\) 16.8351 15.6207i 0.816622 0.757715i
\(426\) 66.7562 + 32.1481i 3.23435 + 1.55758i
\(427\) 29.8034 + 13.7966i 1.44229 + 0.667663i
\(428\) −58.1878 + 28.0218i −2.81262 + 1.35448i
\(429\) 2.70442 6.89074i 0.130571 0.332688i
\(430\) 2.11531 28.2269i 0.102009 1.36122i
\(431\) −13.4960 4.16296i −0.650078 0.200523i −0.0478600 0.998854i \(-0.515240\pi\)
−0.602218 + 0.798331i \(0.705716\pi\)
\(432\) −2.58142 34.4467i −0.124199 1.65732i
\(433\) 0.645797 2.82942i 0.0310350 0.135973i −0.957037 0.289966i \(-0.906356\pi\)
0.988072 + 0.153993i \(0.0492132\pi\)
\(434\) 27.8193 + 67.8219i 1.33537 + 3.25555i
\(435\) −2.24436 9.83317i −0.107609 0.471464i
\(436\) 35.6315 10.9909i 1.70644 0.526367i
\(437\) −4.55294 11.6007i −0.217797 0.554937i
\(438\) −3.81653 3.54122i −0.182361 0.169206i
\(439\) 17.5432 + 11.9607i 0.837289 + 0.570854i 0.904300 0.426898i \(-0.140394\pi\)
−0.0670104 + 0.997752i \(0.521346\pi\)
\(440\) 107.907 5.14427
\(441\) 0.634432 14.3141i 0.0302111 0.681624i
\(442\) −10.7098 −0.509412
\(443\) 21.6843 + 14.7841i 1.03025 + 0.702415i 0.955562 0.294792i \(-0.0952503\pi\)
0.0746918 + 0.997207i \(0.476203\pi\)
\(444\) 66.3184 + 61.5345i 3.14733 + 2.92030i
\(445\) −14.7971 37.7023i −0.701449 1.78726i
\(446\) 10.8937 3.36025i 0.515830 0.159113i
\(447\) −4.28020 18.7528i −0.202447 0.886976i
\(448\) 45.8978 82.3740i 2.16847 3.89180i
\(449\) −4.57570 + 20.0475i −0.215941 + 0.946098i 0.744502 + 0.667620i \(0.232687\pi\)
−0.960443 + 0.278478i \(0.910170\pi\)
\(450\) 2.49191 + 33.2522i 0.117470 + 1.56752i
\(451\) −3.91351 1.20716i −0.184280 0.0568428i
\(452\) −5.56964 + 74.3216i −0.261974 + 3.49580i
\(453\) 13.3925 34.1235i 0.629235 1.60326i
\(454\) −56.6792 + 27.2952i −2.66008 + 1.28103i
\(455\) −5.55237 6.74866i −0.260299 0.316382i
\(456\) 57.6031 + 27.7402i 2.69751 + 1.29905i
\(457\) −15.0647 + 13.9780i −0.704699 + 0.653865i −0.948797 0.315886i \(-0.897698\pi\)
0.244099 + 0.969750i \(0.421508\pi\)
\(458\) −31.3744 + 4.72894i −1.46603 + 0.220969i
\(459\) −4.15995 + 7.20524i −0.194170 + 0.336312i
\(460\) −40.1312 69.5093i −1.87113 3.24089i
\(461\) −6.32636 7.93300i −0.294648 0.369477i 0.612368 0.790573i \(-0.290217\pi\)
−0.907016 + 0.421096i \(0.861646\pi\)
\(462\) −4.85465 53.7629i −0.225859 2.50128i
\(463\) 0.358626 0.449703i 0.0166668 0.0208995i −0.773428 0.633884i \(-0.781460\pi\)
0.790095 + 0.612984i \(0.210031\pi\)
\(464\) −21.6827 3.26815i −1.00660 0.151720i
\(465\) −61.6319 + 42.0199i −2.85811 + 1.94863i
\(466\) 31.9497 21.7829i 1.48004 1.00907i
\(467\) 26.4695 + 3.98963i 1.22486 + 0.184618i 0.729447 0.684038i \(-0.239778\pi\)
0.495416 + 0.868656i \(0.335016\pi\)
\(468\) 7.14297 8.95700i 0.330184 0.414038i
\(469\) 24.4904 + 16.1556i 1.13086 + 0.745998i
\(470\) −34.9635 43.8428i −1.61275 2.02232i
\(471\) 24.2909 + 42.0730i 1.11926 + 1.93862i
\(472\) 34.3666 59.5246i 1.58185 2.73984i
\(473\) −10.1303 + 1.52689i −0.465791 + 0.0702067i
\(474\) −48.0960 + 44.6265i −2.20912 + 2.04976i
\(475\) 15.2859 + 7.36131i 0.701366 + 0.337760i
\(476\) −51.4543 + 25.7532i −2.35841 + 1.18040i
\(477\) −9.52816 + 4.58852i −0.436264 + 0.210094i
\(478\) −19.6394 + 50.0404i −0.898285 + 2.28879i
\(479\) 2.89664 38.6530i 0.132351 1.76610i −0.397115 0.917769i \(-0.629989\pi\)
0.529466 0.848331i \(-0.322392\pi\)
\(480\) 174.697 + 53.8870i 7.97381 + 2.45959i
\(481\) −0.537683 7.17488i −0.0245162 0.327146i
\(482\) −12.9200 + 56.6062i −0.588489 + 2.57834i
\(483\) −21.0964 + 14.8597i −0.959921 + 0.676138i
\(484\) 0.177548 + 0.777890i 0.00807038 + 0.0353586i
\(485\) −10.0916 + 3.11285i −0.458237 + 0.141347i
\(486\) −18.3048 46.6398i −0.830321 2.11562i
\(487\) 13.7409 + 12.7496i 0.622657 + 0.577742i 0.927112 0.374785i \(-0.122284\pi\)
−0.304454 + 0.952527i \(0.598474\pi\)
\(488\) 101.683 + 69.3264i 4.60298 + 3.13826i
\(489\) 25.3234 1.14517
\(490\) −58.2351 25.8870i −2.63079 1.16946i
\(491\) 0.339127 0.0153046 0.00765230 0.999971i \(-0.497564\pi\)
0.00765230 + 0.999971i \(0.497564\pi\)
\(492\) −12.9126 8.80364i −0.582143 0.396899i
\(493\) 3.87152 + 3.59224i 0.174364 + 0.161786i
\(494\) −2.89055 7.36499i −0.130052 0.331367i
\(495\) 21.2883 6.56658i 0.956840 0.295146i
\(496\) 36.0863 + 158.104i 1.62032 + 7.09909i
\(497\) −23.5334 21.1771i −1.05562 0.949923i
\(498\) −14.7809 + 64.7595i −0.662349 + 2.90194i
\(499\) 1.02884 + 13.7290i 0.0460574 + 0.614594i 0.971704 + 0.236203i \(0.0759032\pi\)
−0.925646 + 0.378390i \(0.876478\pi\)
\(500\) 16.0845 + 4.96141i 0.719321 + 0.221881i
\(501\) 3.05915 40.8215i 0.136673 1.82377i
\(502\) −9.85427 + 25.1083i −0.439818 + 1.12064i
\(503\) −17.4372 + 8.39731i −0.777486 + 0.374418i −0.780161 0.625579i \(-0.784863\pi\)
0.00267490 + 0.999996i \(0.499149\pi\)
\(504\) 11.1477 52.5216i 0.496558 2.33950i
\(505\) −8.82828 4.25147i −0.392853 0.189188i
\(506\) −28.9037 + 26.8188i −1.28493 + 1.19224i
\(507\) −2.22143 + 0.334827i −0.0986574 + 0.0148702i
\(508\) 17.2606 29.8962i 0.765815 1.32643i
\(509\) −12.2870 21.2817i −0.544611 0.943294i −0.998631 0.0523029i \(-0.983344\pi\)
0.454020 0.890992i \(-0.349989\pi\)
\(510\) −49.5499 62.1337i −2.19411 2.75132i
\(511\) 1.14155 + 1.90936i 0.0504992 + 0.0844651i
\(512\) 48.3650 60.6478i 2.13745 2.68028i
\(513\) −6.07772 0.916068i −0.268338 0.0404454i
\(514\) −12.4796 + 8.50842i −0.550450 + 0.375290i
\(515\) 17.0296 11.6106i 0.750414 0.511623i
\(516\) −38.6568 5.82658i −1.70177 0.256501i
\(517\) −12.6542 + 15.8679i −0.556532 + 0.697868i
\(518\) −26.9244 45.0339i −1.18299 1.97868i
\(519\) 11.8466 + 14.8552i 0.520008 + 0.652070i
\(520\) −16.3741 28.3607i −0.718050 1.24370i
\(521\) 0.108157 0.187333i 0.00473844 0.00820722i −0.863646 0.504098i \(-0.831825\pi\)
0.868385 + 0.495891i \(0.165158\pi\)
\(522\) −7.58270 + 1.14291i −0.331886 + 0.0500237i
\(523\) 25.7228 23.8673i 1.12478 1.04364i 0.126113 0.992016i \(-0.459750\pi\)
0.998666 0.0516272i \(-0.0164408\pi\)
\(524\) −11.6078 5.59004i −0.507091 0.244202i
\(525\) 7.29393 34.3648i 0.318333 1.49980i
\(526\) 73.0169 35.1631i 3.18369 1.53318i
\(527\) 14.2700 36.3594i 0.621611 1.58384i
\(528\) 8.92432 119.087i 0.388381 5.18259i
\(529\) −3.96744 1.22379i −0.172497 0.0532083i
\(530\) 3.51516 + 46.9066i 0.152689 + 2.03749i
\(531\) 3.15766 13.8346i 0.137031 0.600370i
\(532\) −31.5976 28.4338i −1.36993 1.23276i
\(533\) 0.276573 + 1.21174i 0.0119797 + 0.0524865i
\(534\) −72.5526 + 22.3795i −3.13966 + 0.968456i
\(535\) 13.9247 + 35.4795i 0.602017 + 1.53391i
\(536\) 80.5929 + 74.7793i 3.48109 + 3.22998i
\(537\) 8.73563 + 5.95585i 0.376970 + 0.257014i
\(538\) 2.71228 0.116935
\(539\) −4.44425 + 22.6332i −0.191428 + 0.974882i
\(540\) −39.5856 −1.70349
\(541\) −21.0506 14.3521i −0.905036 0.617043i 0.0188032 0.999823i \(-0.494014\pi\)
−0.923840 + 0.382780i \(0.874967\pi\)
\(542\) 26.2896 + 24.3932i 1.12924 + 1.04778i
\(543\) −4.62804 11.7921i −0.198608 0.506046i
\(544\) −91.4770 + 28.2169i −3.92204 + 1.20979i
\(545\) −4.89673 21.4540i −0.209753 0.918987i
\(546\) −13.3936 + 9.43402i −0.573192 + 0.403739i
\(547\) −4.44863 + 19.4907i −0.190210 + 0.833362i 0.786293 + 0.617854i \(0.211998\pi\)
−0.976502 + 0.215508i \(0.930859\pi\)
\(548\) −0.316605 4.22480i −0.0135247 0.180474i
\(549\) 24.2792 + 7.48916i 1.03621 + 0.319629i
\(550\) 4.01146 53.5293i 0.171049 2.28250i
\(551\) −1.42543 + 3.63194i −0.0607253 + 0.154726i
\(552\) −87.1204 + 41.9550i −3.70809 + 1.78572i
\(553\) 25.0696 12.5475i 1.06607 0.533572i
\(554\) 6.71729 + 3.23487i 0.285390 + 0.137437i
\(555\) 39.1380 36.3148i 1.66132 1.54148i
\(556\) 7.51769 1.13311i 0.318821 0.0480545i
\(557\) 3.93455 6.81485i 0.166712 0.288754i −0.770550 0.637380i \(-0.780018\pi\)
0.937262 + 0.348626i \(0.113352\pi\)
\(558\) 28.3564 + 49.1147i 1.20042 + 2.07919i
\(559\) 1.93850 + 2.43080i 0.0819897 + 0.102812i
\(560\) −117.686 77.6341i −4.97313 3.28064i
\(561\) −17.9334 + 22.4878i −0.757150 + 0.949436i
\(562\) −18.1714 2.73890i −0.766515 0.115534i
\(563\) −13.4846 + 9.19363i −0.568307 + 0.387465i −0.813112 0.582107i \(-0.802228\pi\)
0.244805 + 0.969572i \(0.421276\pi\)
\(564\) −63.9906 + 43.6280i −2.69449 + 1.83707i
\(565\) 43.4929 + 6.55550i 1.82976 + 0.275792i
\(566\) −16.9391 + 21.2410i −0.712005 + 0.892825i
\(567\) 2.60562 + 28.8560i 0.109426 + 1.21184i
\(568\) −73.9677 92.7526i −3.10362 3.89181i
\(569\) 22.5810 + 39.1114i 0.946643 + 1.63963i 0.752428 + 0.658675i \(0.228883\pi\)
0.194215 + 0.980959i \(0.437784\pi\)
\(570\) 29.3552 50.8446i 1.22955 2.12965i
\(571\) −18.3675 + 2.76846i −0.768656 + 0.115856i −0.521652 0.853158i \(-0.674684\pi\)
−0.247004 + 0.969014i \(0.579446\pi\)
\(572\) −13.5193 + 12.5441i −0.565272 + 0.524496i
\(573\) 48.6157 + 23.4121i 2.03095 + 0.978054i
\(574\) 5.75860 + 6.99932i 0.240359 + 0.292146i
\(575\) −23.1188 + 11.1334i −0.964121 + 0.464296i
\(576\) 26.6528 67.9103i 1.11054 2.82960i
\(577\) −1.70231 + 22.7158i −0.0708682 + 0.945670i 0.842542 + 0.538630i \(0.181058\pi\)
−0.913410 + 0.407040i \(0.866561\pi\)
\(578\) −5.00967 1.54528i −0.208375 0.0642751i
\(579\) −3.14141 41.9192i −0.130552 1.74210i
\(580\) −5.59161 + 24.4985i −0.232179 + 1.01724i
\(581\) 13.8146 24.7933i 0.573125 1.02860i
\(582\) 4.40534 + 19.3010i 0.182607 + 0.800054i
\(583\) 16.2680 5.01801i 0.673752 0.207825i
\(584\) 3.04554 + 7.75990i 0.126025 + 0.321107i
\(585\) −4.95620 4.59868i −0.204914 0.190132i
\(586\) −48.2702 32.9101i −1.99402 1.35950i
\(587\) −1.71697 −0.0708670 −0.0354335 0.999372i \(-0.511281\pi\)
−0.0354335 + 0.999372i \(0.511281\pi\)
\(588\) −41.6630 + 77.5318i −1.71815 + 3.19736i
\(589\) 28.8554 1.18896
\(590\) −52.1495 35.5550i −2.14696 1.46377i
\(591\) −26.3482 24.4475i −1.08382 1.00564i
\(592\) −42.4066 108.050i −1.74290 4.44084i
\(593\) −29.0439 + 8.95885i −1.19269 + 0.367896i −0.826657 0.562706i \(-0.809760\pi\)
−0.366032 + 0.930602i \(0.619284\pi\)
\(594\) 4.32728 + 18.9591i 0.177550 + 0.777899i
\(595\) 12.8866 + 31.4168i 0.528298 + 1.28796i
\(596\) −10.6637 + 46.7209i −0.436804 + 1.91376i
\(597\) −1.57143 20.9693i −0.0643145 0.858217i
\(598\) 11.4346 + 3.52709i 0.467594 + 0.144234i
\(599\) 0.0854946 1.14085i 0.00349321 0.0466137i −0.995185 0.0980165i \(-0.968750\pi\)
0.998678 + 0.0514028i \(0.0163692\pi\)
\(600\) 48.0946 122.543i 1.96346 5.00280i
\(601\) −14.7105 + 7.08419i −0.600052 + 0.288970i −0.709146 0.705061i \(-0.750919\pi\)
0.109094 + 0.994031i \(0.465205\pi\)
\(602\) 20.5752 + 9.52467i 0.838583 + 0.388197i
\(603\) 20.4503 + 9.84835i 0.832801 + 0.401056i
\(604\) −66.9489 + 62.1195i −2.72411 + 2.52761i
\(605\) 0.465621 0.0701811i 0.0189302 0.00285327i
\(606\) −9.18433 + 15.9077i −0.373088 + 0.646207i
\(607\) 8.83393 + 15.3008i 0.358558 + 0.621041i 0.987720 0.156233i \(-0.0499351\pi\)
−0.629162 + 0.777274i \(0.716602\pi\)
\(608\) −44.0939 55.2920i −1.78824 2.24239i
\(609\) 8.00603 + 1.08210i 0.324421 + 0.0438488i
\(610\) 70.4615 88.3559i 2.85290 3.57742i
\(611\) 6.09065 + 0.918018i 0.246401 + 0.0371390i
\(612\) −36.7802 + 25.0763i −1.48675 + 1.01365i
\(613\) 0.943967 0.643586i 0.0381265 0.0259942i −0.544107 0.839016i \(-0.683131\pi\)
0.582233 + 0.813022i \(0.302179\pi\)
\(614\) 41.5743 + 6.26632i 1.67780 + 0.252888i
\(615\) −5.75044 + 7.21082i −0.231880 + 0.290768i
\(616\) −30.3465 + 80.9301i −1.22269 + 3.26077i
\(617\) 28.5994 + 35.8625i 1.15137 + 1.44377i 0.875921 + 0.482454i \(0.160254\pi\)
0.275447 + 0.961316i \(0.411174\pi\)
\(618\) −19.3188 33.4611i −0.777116 1.34600i
\(619\) 10.1430 17.5683i 0.407684 0.706129i −0.586946 0.809626i \(-0.699670\pi\)
0.994630 + 0.103497i \(0.0330033\pi\)
\(620\) 183.767 27.6984i 7.38026 1.11240i
\(621\) 6.81440 6.32284i 0.273452 0.253727i
\(622\) −23.1058 11.1271i −0.926457 0.446158i
\(623\) 32.4380 0.494826i 1.29960 0.0198248i
\(624\) −32.6532 + 15.7250i −1.30717 + 0.629502i
\(625\) −7.16752 + 18.2625i −0.286701 + 0.730501i
\(626\) −6.05021 + 80.7344i −0.241815 + 3.22679i
\(627\) −20.3048 6.26320i −0.810896 0.250128i
\(628\) −9.04511 120.699i −0.360939 4.81640i
\(629\) −6.22101 + 27.2560i −0.248048 + 1.08677i
\(630\) −47.3300 13.8124i −1.88567 0.550299i
\(631\) −4.28557 18.7763i −0.170606 0.747472i −0.985750 0.168215i \(-0.946200\pi\)
0.815145 0.579257i \(-0.196657\pi\)
\(632\) 100.385 30.9647i 3.99310 1.23171i
\(633\) −1.34095 3.41668i −0.0532980 0.135801i
\(634\) −9.75606 9.05230i −0.387463 0.359513i
\(635\) −16.8328 11.4764i −0.667989 0.455427i
\(636\) 64.9643 2.57600
\(637\) 6.62296 2.26635i 0.262411 0.0897962i
\(638\) 12.3445 0.488723
\(639\) −20.2370 13.7974i −0.800564 0.545815i
\(640\) −118.555 110.003i −4.68631 4.34826i
\(641\) −16.2856 41.4951i −0.643243 1.63896i −0.763188 0.646176i \(-0.776367\pi\)
0.119945 0.992781i \(-0.461728\pi\)
\(642\) 68.2751 21.0601i 2.69460 0.831175i
\(643\) −2.47733 10.8539i −0.0976964 0.428036i 0.902299 0.431111i \(-0.141878\pi\)
−0.999995 + 0.00307514i \(0.999021\pi\)
\(644\) 63.4179 10.5504i 2.49901 0.415743i
\(645\) −5.13381 + 22.4927i −0.202144 + 0.885649i
\(646\) 2.29740 + 30.6566i 0.0903898 + 1.20617i
\(647\) −16.0135 4.93952i −0.629557 0.194193i −0.0364748 0.999335i \(-0.511613\pi\)
−0.593082 + 0.805142i \(0.702089\pi\)
\(648\) −8.11355 + 108.268i −0.318730 + 4.25316i
\(649\) −8.34572 + 21.2645i −0.327598 + 0.834706i
\(650\) −14.6775 + 7.06833i −0.575701 + 0.277243i
\(651\) −14.1822 58.0410i −0.555846 2.27480i
\(652\) −56.8431 27.3742i −2.22615 1.07206i
\(653\) −26.0651 + 24.1849i −1.02001 + 0.946427i −0.998576 0.0533431i \(-0.983012\pi\)
−0.0214297 + 0.999770i \(0.506822\pi\)
\(654\) −40.7914 + 6.14831i −1.59507 + 0.240418i
\(655\) −3.80169 + 6.58472i −0.148544 + 0.257286i
\(656\) 10.0257 + 17.3649i 0.391436 + 0.677987i
\(657\) 1.07306 + 1.34557i 0.0418639 + 0.0524957i
\(658\) 42.7147 13.8927i 1.66519 0.541594i
\(659\) −8.98960 + 11.2726i −0.350185 + 0.439118i −0.925462 0.378840i \(-0.876323\pi\)
0.575277 + 0.817959i \(0.304894\pi\)
\(660\) −135.324 20.3969i −5.26749 0.793947i
\(661\) −21.1038 + 14.3883i −0.820842 + 0.559641i −0.899328 0.437275i \(-0.855944\pi\)
0.0784861 + 0.996915i \(0.474991\pi\)
\(662\) 22.3039 15.2065i 0.866866 0.591019i
\(663\) 8.63162 + 1.30101i 0.335224 + 0.0505269i
\(664\) 66.3119 83.1525i 2.57340 3.22694i
\(665\) −18.1269 + 17.3413i −0.702931 + 0.672466i
\(666\) −25.3090 31.7364i −0.980703 1.22976i
\(667\) −2.95047 5.11037i −0.114243 0.197874i
\(668\) −50.9941 + 88.3245i −1.97302 + 3.41738i
\(669\) −9.18803 + 1.38487i −0.355230 + 0.0535423i
\(670\) 74.0075 68.6689i 2.85916 2.65291i
\(671\) −36.8513 17.7466i −1.42263 0.685101i
\(672\) −89.5449 + 115.868i −3.45427 + 4.46971i
\(673\) 6.42071 3.09205i 0.247500 0.119190i −0.306022 0.952025i \(-0.598998\pi\)
0.553522 + 0.832835i \(0.313284\pi\)
\(674\) 21.3992 54.5242i 0.824266 2.10019i
\(675\) −0.945750 + 12.6202i −0.0364019 + 0.485750i
\(676\) 5.34836 + 1.64975i 0.205706 + 0.0634520i
\(677\) −0.953755 12.7270i −0.0366558 0.489137i −0.985076 0.172121i \(-0.944938\pi\)
0.948420 0.317016i \(-0.102681\pi\)
\(678\) 18.3476 80.3859i 0.704634 3.08720i
\(679\) 0.503412 8.44411i 0.0193192 0.324055i
\(680\) 28.3150 + 124.056i 1.08583 + 4.75733i
\(681\) 48.9967 15.1135i 1.87756 0.579150i
\(682\) −33.3542 84.9852i −1.27720 3.25425i
\(683\) 27.2641 + 25.2974i 1.04323 + 0.967977i 0.999517 0.0310668i \(-0.00989047\pi\)
0.0437141 + 0.999044i \(0.486081\pi\)
\(684\) −27.1716 18.5253i −1.03893 0.708331i
\(685\) −2.50027 −0.0955304
\(686\) 35.7925 36.3961i 1.36657 1.38961i
\(687\) 25.8609 0.986656
\(688\) 41.4425 + 28.2550i 1.57998 + 1.07721i
\(689\) −3.78740 3.51419i −0.144288 0.133880i
\(690\) 32.4405 + 82.6570i 1.23499 + 3.14670i
\(691\) 6.07543 1.87402i 0.231120 0.0712912i −0.177032 0.984205i \(-0.556650\pi\)
0.408152 + 0.912914i \(0.366173\pi\)
\(692\) −10.5337 46.1511i −0.400431 1.75440i
\(693\) −1.06195 + 17.8129i −0.0403402 + 0.676657i
\(694\) −13.8343 + 60.6119i −0.525141 + 2.30080i
\(695\) −0.335292 4.47416i −0.0127183 0.169714i
\(696\) 28.9286 + 8.92329i 1.09654 + 0.338237i
\(697\) 0.360905 4.81594i 0.0136702 0.182417i
\(698\) 7.32683 18.6684i 0.277324 0.706611i
\(699\) −28.3962 + 13.6749i −1.07404 + 0.517233i
\(700\) −53.5203 + 69.2535i −2.02288 + 2.61754i
\(701\) 17.8261 + 8.58461i 0.673284 + 0.324236i 0.739100 0.673595i \(-0.235251\pi\)
−0.0658166 + 0.997832i \(0.520965\pi\)
\(702\) 4.32628 4.01421i 0.163285 0.151506i
\(703\) −20.4227 + 3.07822i −0.770256 + 0.116097i
\(704\) −58.7201 + 101.706i −2.21310 + 3.83319i
\(705\) 22.8531 + 39.5827i 0.860698 + 1.49077i
\(706\) 25.4094 + 31.8624i 0.956296 + 1.19916i
\(707\) 5.67135 5.42555i 0.213293 0.204049i
\(708\) −54.3500 + 68.1527i −2.04260 + 2.56134i
\(709\) −29.2373 4.40682i −1.09803 0.165502i −0.425056 0.905167i \(-0.639746\pi\)
−0.672975 + 0.739665i \(0.734984\pi\)
\(710\) −90.0114 + 61.3687i −3.37807 + 2.30313i
\(711\) 17.9200 12.2177i 0.672054 0.458198i
\(712\) 120.211 + 18.1188i 4.50508 + 0.679032i
\(713\) −27.2101 + 34.1204i −1.01903 + 1.27782i
\(714\) 60.5349 19.6886i 2.26546 0.736828i
\(715\) 6.78602 + 8.50939i 0.253783 + 0.318233i
\(716\) −13.1706 22.8121i −0.492207 0.852527i
\(717\) 21.9073 37.9446i 0.818145 1.41707i
\(718\) 6.23772 0.940185i 0.232790 0.0350874i
\(719\) −29.4606 + 27.3354i −1.09869 + 1.01944i −0.0989900 + 0.995088i \(0.531561\pi\)
−0.999703 + 0.0243501i \(0.992248\pi\)
\(720\) −98.2717 47.3252i −3.66237 1.76370i
\(721\) 3.91871 + 16.0374i 0.145940 + 0.597263i
\(722\) 26.7208 12.8681i 0.994446 0.478900i
\(723\) 17.2894 44.0526i 0.642999 1.63833i
\(724\) −2.35852 + 31.4723i −0.0876538 + 1.16966i
\(725\) 7.67668 + 2.36794i 0.285105 + 0.0879432i
\(726\) −0.0659656 0.880250i −0.00244821 0.0326691i
\(727\) 4.42139 19.3714i 0.163980 0.718444i −0.824345 0.566087i \(-0.808457\pi\)
0.988326 0.152357i \(-0.0486863\pi\)
\(728\) 25.8753 4.30469i 0.959003 0.159542i
\(729\) 1.77669 + 7.78421i 0.0658035 + 0.288304i
\(730\) 7.31489 2.25634i 0.270736 0.0835111i
\(731\) −4.41360 11.2457i −0.163243 0.415936i
\(732\) −114.415 106.161i −4.22889 3.92384i
\(733\) −33.8422 23.0732i −1.24999 0.852230i −0.256546 0.966532i \(-0.582584\pi\)
−0.993446 + 0.114302i \(0.963537\pi\)
\(734\) 20.9079 0.771726
\(735\) 43.7903 + 27.9381i 1.61523 + 1.03051i
\(736\) 106.960 3.94261
\(737\) −30.1903 20.5834i −1.11207 0.758199i
\(738\) 5.14029 + 4.76949i 0.189217 + 0.175567i
\(739\) −12.3547 31.4793i −0.454475 1.15798i −0.956137 0.292920i \(-0.905373\pi\)
0.501662 0.865064i \(-0.332722\pi\)
\(740\) −127.108 + 39.2077i −4.67259 + 1.44130i
\(741\) 1.43497 + 6.28700i 0.0527149 + 0.230959i
\(742\) −36.1684 10.5551i −1.32778 0.387489i
\(743\) −1.72716 + 7.56719i −0.0633634 + 0.277613i −0.996678 0.0814474i \(-0.974046\pi\)
0.933314 + 0.359061i \(0.116903\pi\)
\(744\) −16.7316 223.268i −0.613412 8.18541i
\(745\) 27.0251 + 8.33614i 0.990123 + 0.305412i
\(746\) 3.98211 53.1376i 0.145795 1.94550i
\(747\) 8.02211 20.4400i 0.293514 0.747861i
\(748\) 64.5638 31.0923i 2.36069 1.13685i
\(749\) −30.5256 + 0.465653i −1.11538 + 0.0170146i
\(750\) −16.7776 8.07967i −0.612632 0.295028i
\(751\) 34.5188 32.0288i 1.25961 1.16875i 0.281749 0.959488i \(-0.409085\pi\)
0.977860 0.209259i \(-0.0671051\pi\)
\(752\) 98.2581 14.8100i 3.58310 0.540066i
\(753\) 10.9922 19.0391i 0.400579 0.693823i
\(754\) −1.87318 3.24444i −0.0682172 0.118156i
\(755\) 33.6049 + 42.1392i 1.22301 + 1.53360i
\(756\) 11.1326 29.6891i 0.404888 1.07978i
\(757\) 12.5447 15.7305i 0.455943 0.571735i −0.499723 0.866185i \(-0.666565\pi\)
0.955667 + 0.294450i \(0.0951365\pi\)
\(758\) 45.5793 + 6.86998i 1.65552 + 0.249529i
\(759\) 26.5531 18.1036i 0.963815 0.657118i
\(760\) −77.6697 + 52.9543i −2.81738 + 1.92085i
\(761\) −34.3345 5.17509i −1.24462 0.187597i −0.506487 0.862248i \(-0.669056\pi\)
−0.738137 + 0.674651i \(0.764294\pi\)
\(762\) −23.8118 + 29.8590i −0.862609 + 1.08168i
\(763\) 17.4675 + 2.36092i 0.632367 + 0.0854710i
\(764\) −83.8188 105.105i −3.03246 3.80258i
\(765\) 13.1354 + 22.7512i 0.474911 + 0.822570i
\(766\) −2.45406 + 4.25056i −0.0886690 + 0.153579i
\(767\) 6.85525 1.03326i 0.247529 0.0373090i
\(768\) −104.856 + 97.2922i −3.78367 + 3.51073i
\(769\) −5.06430 2.43884i −0.182623 0.0879467i 0.340338 0.940303i \(-0.389458\pi\)
−0.522961 + 0.852356i \(0.675173\pi\)
\(770\) 72.0268 + 33.3426i 2.59567 + 1.20158i
\(771\) 11.0916 5.34142i 0.399453 0.192367i
\(772\) −38.2624 + 97.4911i −1.37709 + 3.50878i
\(773\) 0.495173 6.60763i 0.0178101 0.237660i −0.981193 0.193028i \(-0.93