Properties

Label 177.2.f.a.101.17
Level $177$
Weight $2$
Character 177.101
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 101.17
Character \(\chi\) \(=\) 177.101
Dual form 177.2.f.a.170.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.27485 - 1.88026i) q^{2} +(0.789934 - 1.54143i) q^{3} +(-1.16986 - 2.93613i) q^{4} +(-0.346794 + 0.749584i) q^{5} +(-1.89124 - 3.45037i) q^{6} +(0.990843 + 3.56869i) q^{7} +(-2.57490 - 0.566779i) q^{8} +(-1.75201 - 2.43525i) q^{9} +O(q^{10})\) \(q+(1.27485 - 1.88026i) q^{2} +(0.789934 - 1.54143i) q^{3} +(-1.16986 - 2.93613i) q^{4} +(-0.346794 + 0.749584i) q^{5} +(-1.89124 - 3.45037i) q^{6} +(0.990843 + 3.56869i) q^{7} +(-2.57490 - 0.566779i) q^{8} +(-1.75201 - 2.43525i) q^{9} +(0.967302 + 1.60767i) q^{10} +(-1.13865 - 1.07858i) q^{11} +(-5.44995 - 0.516090i) q^{12} +(-0.644952 + 5.93024i) q^{13} +(7.97324 + 2.68650i) q^{14} +(0.881486 + 1.12668i) q^{15} +(0.240876 - 0.228170i) q^{16} +(-2.93746 - 0.815581i) q^{17} +(-6.81245 + 0.189653i) q^{18} +(-2.13518 - 1.62312i) q^{19} +(2.60658 + 0.141324i) q^{20} +(6.28359 + 1.29172i) q^{21} +(-3.47962 + 0.765922i) q^{22} +(-0.526705 - 0.993471i) q^{23} +(-2.90765 + 3.52131i) q^{24} +(2.79532 + 3.29091i) q^{25} +(10.3282 + 8.77282i) q^{26} +(-5.13774 + 0.776908i) q^{27} +(9.31899 - 7.08411i) q^{28} +(5.88183 - 3.98798i) q^{29} +(3.24221 - 0.221076i) q^{30} +(-2.13570 - 2.80946i) q^{31} +(-0.975028 - 5.94741i) q^{32} +(-2.56202 + 0.903134i) q^{33} +(-5.27831 + 4.48344i) q^{34} +(-3.01865 - 0.494883i) q^{35} +(-5.10061 + 7.99303i) q^{36} +(-1.21090 - 5.50115i) q^{37} +(-5.77392 + 1.94546i) q^{38} +(8.63158 + 5.67865i) q^{39} +(1.31781 - 1.73355i) q^{40} +(-7.37426 - 3.90959i) q^{41} +(10.4394 - 10.1680i) q^{42} +(2.77467 + 2.92919i) q^{43} +(-1.83480 + 4.60501i) q^{44} +(2.43301 - 0.468745i) q^{45} +(-2.53945 - 0.276182i) q^{46} +(4.74976 - 2.19747i) q^{47} +(-0.161431 - 0.551532i) q^{48} +(-5.75580 + 3.46315i) q^{49} +(9.75136 - 1.06052i) q^{50} +(-3.57756 + 3.88363i) q^{51} +(18.1664 - 5.04389i) q^{52} +(-6.69453 + 11.1264i) q^{53} +(-5.08905 + 10.6507i) q^{54} +(1.20337 - 0.479465i) q^{55} +(-0.528663 - 9.75062i) q^{56} +(-4.18858 + 2.00907i) q^{57} -16.1434i q^{58} +(4.93223 + 5.88839i) q^{59} +(2.27686 - 3.90622i) q^{60} +(1.44971 + 0.982930i) q^{61} +(-8.00521 + 0.434030i) q^{62} +(6.95471 - 8.66534i) q^{63} +(-11.8234 - 5.47010i) q^{64} +(-4.22155 - 2.54002i) q^{65} +(-1.56805 + 5.96861i) q^{66} +(1.28587 - 5.84178i) q^{67} +(1.04176 + 9.57886i) q^{68} +(-1.94743 + 0.0271022i) q^{69} +(-4.77883 + 5.04495i) q^{70} +(5.62941 + 12.1678i) q^{71} +(3.13100 + 7.26354i) q^{72} +(-4.28523 + 12.7181i) q^{73} +(-11.8873 - 4.73633i) q^{74} +(7.28082 - 1.70919i) q^{75} +(-2.26783 + 8.16800i) q^{76} +(2.72091 - 5.13219i) q^{77} +(21.6813 - 8.99019i) q^{78} +(0.598189 - 11.0329i) q^{79} +(0.0874979 + 0.259685i) q^{80} +(-2.86093 + 8.53318i) q^{81} +(-16.7521 + 8.88139i) q^{82} +(-0.0783518 + 0.477925i) q^{83} +(-3.55827 - 19.9605i) q^{84} +(1.63004 - 1.91903i) q^{85} +(9.04491 - 1.48284i) q^{86} +(-1.50093 - 12.2167i) q^{87} +(2.32059 + 3.42261i) q^{88} +(-8.74030 - 12.8910i) q^{89} +(2.22036 - 5.17227i) q^{90} +(-21.8022 + 3.57430i) q^{91} +(-2.30079 + 2.70870i) q^{92} +(-6.01765 + 1.07274i) q^{93} +(1.92340 - 11.7322i) q^{94} +(1.95714 - 1.03761i) q^{95} +(-9.93772 - 3.19512i) q^{96} +(1.72377 + 5.11597i) q^{97} +(-0.826146 + 15.2374i) q^{98} +(-0.631706 + 4.66258i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{11}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.27485 1.88026i 0.901453 1.32954i −0.0423738 0.999102i \(-0.513492\pi\)
0.943826 0.330441i \(-0.107198\pi\)
\(3\) 0.789934 1.54143i 0.456069 0.889945i
\(4\) −1.16986 2.93613i −0.584930 1.46806i
\(5\) −0.346794 + 0.749584i −0.155091 + 0.335224i −0.969509 0.245054i \(-0.921194\pi\)
0.814418 + 0.580278i \(0.197056\pi\)
\(6\) −1.89124 3.45037i −0.772096 1.40861i
\(7\) 0.990843 + 3.56869i 0.374503 + 1.34884i 0.875428 + 0.483348i \(0.160579\pi\)
−0.500925 + 0.865491i \(0.667007\pi\)
\(8\) −2.57490 0.566779i −0.910365 0.200386i
\(9\) −1.75201 2.43525i −0.584003 0.811751i
\(10\) 0.967302 + 1.60767i 0.305888 + 0.508389i
\(11\) −1.13865 1.07858i −0.343315 0.325205i 0.496542 0.868013i \(-0.334603\pi\)
−0.839857 + 0.542807i \(0.817361\pi\)
\(12\) −5.44995 0.516090i −1.57326 0.148982i
\(13\) −0.644952 + 5.93024i −0.178878 + 1.64475i 0.469138 + 0.883125i \(0.344565\pi\)
−0.648015 + 0.761627i \(0.724401\pi\)
\(14\) 7.97324 + 2.68650i 2.13094 + 0.717996i
\(15\) 0.881486 + 1.12668i 0.227599 + 0.290908i
\(16\) 0.240876 0.228170i 0.0602189 0.0570424i
\(17\) −2.93746 0.815581i −0.712438 0.197807i −0.107644 0.994189i \(-0.534331\pi\)
−0.604794 + 0.796382i \(0.706744\pi\)
\(18\) −6.81245 + 0.189653i −1.60571 + 0.0447017i
\(19\) −2.13518 1.62312i −0.489845 0.372370i 0.330900 0.943666i \(-0.392648\pi\)
−0.820744 + 0.571296i \(0.806441\pi\)
\(20\) 2.60658 + 0.141324i 0.582848 + 0.0316011i
\(21\) 6.28359 + 1.29172i 1.37119 + 0.281876i
\(22\) −3.47962 + 0.765922i −0.741857 + 0.163295i
\(23\) −0.526705 0.993471i −0.109826 0.207153i 0.822507 0.568755i \(-0.192575\pi\)
−0.932333 + 0.361602i \(0.882230\pi\)
\(24\) −2.90765 + 3.52131i −0.593522 + 0.718784i
\(25\) 2.79532 + 3.29091i 0.559064 + 0.658181i
\(26\) 10.3282 + 8.77282i 2.02552 + 1.72049i
\(27\) −5.13774 + 0.776908i −0.988759 + 0.149516i
\(28\) 9.31899 7.08411i 1.76112 1.33877i
\(29\) 5.88183 3.98798i 1.09223 0.740550i 0.124418 0.992230i \(-0.460293\pi\)
0.967810 + 0.251680i \(0.0809832\pi\)
\(30\) 3.24221 0.221076i 0.591944 0.0403628i
\(31\) −2.13570 2.80946i −0.383583 0.504595i 0.563265 0.826276i \(-0.309545\pi\)
−0.946848 + 0.321682i \(0.895752\pi\)
\(32\) −0.975028 5.94741i −0.172362 1.05136i
\(33\) −2.56202 + 0.903134i −0.445990 + 0.157215i
\(34\) −5.27831 + 4.48344i −0.905223 + 0.768903i
\(35\) −3.01865 0.494883i −0.510246 0.0836505i
\(36\) −5.10061 + 7.99303i −0.850102 + 1.33217i
\(37\) −1.21090 5.50115i −0.199070 0.904384i −0.965162 0.261653i \(-0.915732\pi\)
0.766092 0.642731i \(-0.222199\pi\)
\(38\) −5.77392 + 1.94546i −0.936654 + 0.315596i
\(39\) 8.63158 + 5.67865i 1.38216 + 0.909311i
\(40\) 1.31781 1.73355i 0.208364 0.274098i
\(41\) −7.37426 3.90959i −1.15167 0.610575i −0.220578 0.975369i \(-0.570794\pi\)
−0.931088 + 0.364795i \(0.881139\pi\)
\(42\) 10.4394 10.1680i 1.61083 1.56896i
\(43\) 2.77467 + 2.92919i 0.423133 + 0.446697i 0.902353 0.430999i \(-0.141839\pi\)
−0.479219 + 0.877695i \(0.659080\pi\)
\(44\) −1.83480 + 4.60501i −0.276607 + 0.694231i
\(45\) 2.43301 0.468745i 0.362692 0.0698764i
\(46\) −2.53945 0.276182i −0.374421 0.0407208i
\(47\) 4.74976 2.19747i 0.692824 0.320534i −0.0416878 0.999131i \(-0.513273\pi\)
0.734511 + 0.678596i \(0.237411\pi\)
\(48\) −0.161431 0.551532i −0.0233006 0.0796067i
\(49\) −5.75580 + 3.46315i −0.822257 + 0.494735i
\(50\) 9.75136 1.06052i 1.37905 0.149981i
\(51\) −3.57756 + 3.88363i −0.500958 + 0.543817i
\(52\) 18.1664 5.04389i 2.51923 0.699462i
\(53\) −6.69453 + 11.1264i −0.919565 + 1.52833i −0.0721519 + 0.997394i \(0.522987\pi\)
−0.847413 + 0.530935i \(0.821841\pi\)
\(54\) −5.08905 + 10.6507i −0.692532 + 1.44938i
\(55\) 1.20337 0.479465i 0.162262 0.0646510i
\(56\) −0.528663 9.75062i −0.0706456 1.30298i
\(57\) −4.18858 + 2.00907i −0.554792 + 0.266108i
\(58\) 16.1434i 2.11974i
\(59\) 4.93223 + 5.88839i 0.642122 + 0.766603i
\(60\) 2.27686 3.90622i 0.293942 0.504290i
\(61\) 1.44971 + 0.982930i 0.185617 + 0.125851i 0.650456 0.759544i \(-0.274578\pi\)
−0.464840 + 0.885395i \(0.653888\pi\)
\(62\) −8.00521 + 0.434030i −1.01666 + 0.0551218i
\(63\) 6.95471 8.66534i 0.876211 1.09173i
\(64\) −11.8234 5.47010i −1.47793 0.683763i
\(65\) −4.22155 2.54002i −0.523618 0.315051i
\(66\) −1.56805 + 5.96861i −0.193014 + 0.734685i
\(67\) 1.28587 5.84178i 0.157094 0.713687i −0.830546 0.556950i \(-0.811971\pi\)
0.987640 0.156737i \(-0.0500975\pi\)
\(68\) 1.04176 + 9.57886i 0.126332 + 1.16161i
\(69\) −1.94743 + 0.0271022i −0.234443 + 0.00326272i
\(70\) −4.77883 + 5.04495i −0.571179 + 0.602987i
\(71\) 5.62941 + 12.1678i 0.668088 + 1.44405i 0.883930 + 0.467620i \(0.154888\pi\)
−0.215842 + 0.976428i \(0.569250\pi\)
\(72\) 3.13100 + 7.26354i 0.368992 + 0.856016i
\(73\) −4.28523 + 12.7181i −0.501549 + 1.48854i 0.335832 + 0.941922i \(0.390983\pi\)
−0.837380 + 0.546621i \(0.815914\pi\)
\(74\) −11.8873 4.73633i −1.38187 0.550587i
\(75\) 7.28082 1.70919i 0.840717 0.197360i
\(76\) −2.26783 + 8.16800i −0.260138 + 0.936934i
\(77\) 2.72091 5.13219i 0.310077 0.584867i
\(78\) 21.6813 8.99019i 2.45492 1.01794i
\(79\) 0.598189 11.0329i 0.0673015 1.24130i −0.748564 0.663062i \(-0.769256\pi\)
0.815866 0.578241i \(-0.196261\pi\)
\(80\) 0.0874979 + 0.259685i 0.00978256 + 0.0290336i
\(81\) −2.86093 + 8.53318i −0.317881 + 0.948131i
\(82\) −16.7521 + 8.88139i −1.84996 + 0.980786i
\(83\) −0.0783518 + 0.477925i −0.00860023 + 0.0524591i −0.990778 0.135495i \(-0.956737\pi\)
0.982178 + 0.187954i \(0.0601857\pi\)
\(84\) −3.55827 19.9605i −0.388239 2.17787i
\(85\) 1.63004 1.91903i 0.176803 0.208148i
\(86\) 9.04491 1.48284i 0.975337 0.159898i
\(87\) −1.50093 12.2167i −0.160917 1.30976i
\(88\) 2.32059 + 3.42261i 0.247375 + 0.364851i
\(89\) −8.74030 12.8910i −0.926470 1.36644i −0.930438 0.366448i \(-0.880574\pi\)
0.00396896 0.999992i \(-0.498737\pi\)
\(90\) 2.22036 5.17227i 0.234046 0.545206i
\(91\) −21.8022 + 3.57430i −2.28550 + 0.374688i
\(92\) −2.30079 + 2.70870i −0.239874 + 0.282401i
\(93\) −6.01765 + 1.07274i −0.624001 + 0.111238i
\(94\) 1.92340 11.7322i 0.198383 1.21009i
\(95\) 1.95714 1.03761i 0.200798 0.106456i
\(96\) −9.93772 3.19512i −1.01426 0.326101i
\(97\) 1.72377 + 5.11597i 0.175023 + 0.519449i 0.998878 0.0473510i \(-0.0150779\pi\)
−0.823856 + 0.566800i \(0.808181\pi\)
\(98\) −0.826146 + 15.2374i −0.0834533 + 1.53921i
\(99\) −0.631706 + 4.66258i −0.0634889 + 0.468607i
\(100\) 6.39239 12.0573i 0.639239 1.20573i
\(101\) 0.268771 0.968024i 0.0267437 0.0963220i −0.948974 0.315355i \(-0.897876\pi\)
0.975717 + 0.219033i \(0.0702902\pi\)
\(102\) 2.74139 + 11.6778i 0.271438 + 1.15627i
\(103\) −0.327847 0.130626i −0.0323037 0.0128710i 0.353930 0.935272i \(-0.384845\pi\)
−0.386234 + 0.922401i \(0.626224\pi\)
\(104\) 5.02182 14.9042i 0.492430 1.46148i
\(105\) −3.14736 + 4.26212i −0.307151 + 0.415940i
\(106\) 12.3860 + 26.7719i 1.20303 + 2.60032i
\(107\) 4.28124 4.51965i 0.413883 0.436931i −0.485404 0.874290i \(-0.661327\pi\)
0.899287 + 0.437359i \(0.144086\pi\)
\(108\) 8.29155 + 14.1762i 0.797854 + 1.36411i
\(109\) −0.197731 1.81811i −0.0189392 0.174143i 0.980848 0.194775i \(-0.0623977\pi\)
−0.999787 + 0.0206318i \(0.993432\pi\)
\(110\) 0.632589 2.87388i 0.0603150 0.274014i
\(111\) −9.43617 2.47904i −0.895641 0.235300i
\(112\) 1.05294 + 0.633531i 0.0994932 + 0.0598631i
\(113\) −15.6284 7.23048i −1.47020 0.680187i −0.488841 0.872373i \(-0.662580\pi\)
−0.981358 + 0.192187i \(0.938442\pi\)
\(114\) −1.56223 + 10.4369i −0.146316 + 0.977503i
\(115\) 0.927348 0.0502794i 0.0864757 0.00468857i
\(116\) −18.5901 12.6044i −1.72605 1.17029i
\(117\) 15.5716 8.81921i 1.43960 0.815336i
\(118\) 17.3595 1.76708i 1.59807 0.162673i
\(119\) 11.2910i 1.03504i
\(120\) −1.63116 3.40070i −0.148904 0.310440i
\(121\) −0.462354 8.52761i −0.0420322 0.775238i
\(122\) 3.69632 1.47275i 0.334649 0.133337i
\(123\) −11.8515 + 8.27859i −1.06862 + 0.746455i
\(124\) −5.75048 + 9.55737i −0.516408 + 0.858277i
\(125\) −7.41529 + 2.05884i −0.663243 + 0.184149i
\(126\) −7.42688 24.1236i −0.661639 2.14910i
\(127\) 5.09277 0.553872i 0.451910 0.0491482i 0.120666 0.992693i \(-0.461497\pi\)
0.331244 + 0.943545i \(0.392532\pi\)
\(128\) −15.0300 + 9.04328i −1.32848 + 0.799321i
\(129\) 6.70694 1.96310i 0.590513 0.172841i
\(130\) −10.1577 + 4.69946i −0.890891 + 0.412170i
\(131\) 15.7878 + 1.71702i 1.37938 + 0.150017i 0.767560 0.640977i \(-0.221471\pi\)
0.611824 + 0.790994i \(0.290436\pi\)
\(132\) 5.64892 + 6.46587i 0.491675 + 0.562782i
\(133\) 3.67680 9.22807i 0.318819 0.800175i
\(134\) −9.34476 9.86515i −0.807265 0.852219i
\(135\) 1.19938 4.12060i 0.103226 0.354645i
\(136\) 7.10141 + 3.76493i 0.608941 + 0.322840i
\(137\) 5.14454 6.76753i 0.439528 0.578189i −0.521983 0.852956i \(-0.674808\pi\)
0.961511 + 0.274767i \(0.0886007\pi\)
\(138\) −2.43171 + 3.69622i −0.207001 + 0.314643i
\(139\) 17.5708 5.92031i 1.49034 0.502154i 0.547904 0.836541i \(-0.315426\pi\)
0.942436 + 0.334388i \(0.108529\pi\)
\(140\) 2.07836 + 9.44210i 0.175654 + 0.798003i
\(141\) 0.364747 9.05728i 0.0307172 0.762760i
\(142\) 30.0552 + 4.92730i 2.52217 + 0.413490i
\(143\) 7.13063 6.05681i 0.596294 0.506496i
\(144\) −0.977667 0.186838i −0.0814723 0.0155699i
\(145\) 0.949540 + 5.79194i 0.0788550 + 0.480994i
\(146\) 18.4503 + 24.2710i 1.52696 + 2.00868i
\(147\) 0.791499 + 11.6078i 0.0652818 + 0.957396i
\(148\) −14.7355 + 9.99093i −1.21125 + 0.821249i
\(149\) −6.42443 + 4.88373i −0.526310 + 0.400090i −0.834310 0.551296i \(-0.814133\pi\)
0.308000 + 0.951386i \(0.400340\pi\)
\(150\) 6.06821 15.8688i 0.495467 1.29568i
\(151\) 2.78399 + 2.36474i 0.226558 + 0.192440i 0.753475 0.657477i \(-0.228376\pi\)
−0.526917 + 0.849917i \(0.676652\pi\)
\(152\) 4.57793 + 5.38956i 0.371319 + 0.437151i
\(153\) 3.16030 + 8.58236i 0.255495 + 0.693843i
\(154\) −6.18109 11.6588i −0.498086 0.939491i
\(155\) 2.84658 0.626579i 0.228643 0.0503281i
\(156\) 6.57549 31.9866i 0.526461 2.56098i
\(157\) −3.95368 0.214362i −0.315538 0.0171080i −0.104310 0.994545i \(-0.533263\pi\)
−0.211228 + 0.977437i \(0.567746\pi\)
\(158\) −19.9822 15.1901i −1.58970 1.20846i
\(159\) 11.8623 + 19.1083i 0.940743 + 1.51538i
\(160\) 4.79622 + 1.33166i 0.379174 + 0.105277i
\(161\) 3.02351 2.86402i 0.238286 0.225716i
\(162\) 12.3973 + 16.2578i 0.974026 + 1.27733i
\(163\) 23.5606 + 7.93848i 1.84541 + 0.621789i 0.995490 + 0.0948708i \(0.0302438\pi\)
0.849916 + 0.526919i \(0.176653\pi\)
\(164\) −2.85219 + 26.2254i −0.222719 + 2.04786i
\(165\) 0.211518 2.23365i 0.0164667 0.173889i
\(166\) 0.798735 + 0.756602i 0.0619939 + 0.0587237i
\(167\) 3.02368 + 5.02540i 0.233980 + 0.388877i 0.951494 0.307666i \(-0.0995480\pi\)
−0.717515 + 0.696543i \(0.754720\pi\)
\(168\) −15.4475 6.88745i −1.19180 0.531378i
\(169\) −22.0557 4.85483i −1.69659 0.373448i
\(170\) −1.53022 5.51137i −0.117363 0.422703i
\(171\) −0.211860 + 8.04344i −0.0162013 + 0.615097i
\(172\) 5.35449 11.5735i 0.408276 0.882473i
\(173\) 4.63618 + 11.6359i 0.352482 + 0.884664i 0.993150 + 0.116846i \(0.0372783\pi\)
−0.640668 + 0.767818i \(0.721342\pi\)
\(174\) −24.8840 12.7522i −1.88645 0.966745i
\(175\) −8.97451 + 13.2364i −0.678409 + 1.00058i
\(176\) −0.520372 −0.0392245
\(177\) 12.9727 2.95125i 0.975085 0.221830i
\(178\) −35.3809 −2.65191
\(179\) 0.405370 0.597875i 0.0302987 0.0446873i −0.812238 0.583326i \(-0.801751\pi\)
0.842537 + 0.538639i \(0.181061\pi\)
\(180\) −4.22258 6.59528i −0.314733 0.491583i
\(181\) −1.06755 2.67934i −0.0793501 0.199154i 0.883949 0.467582i \(-0.154875\pi\)
−0.963300 + 0.268429i \(0.913496\pi\)
\(182\) −21.0739 + 45.5505i −1.56210 + 3.37643i
\(183\) 2.66029 1.45818i 0.196655 0.107792i
\(184\) 0.793135 + 2.85661i 0.0584707 + 0.210592i
\(185\) 4.54351 + 1.00010i 0.334045 + 0.0735290i
\(186\) −5.65456 + 12.6823i −0.414612 + 0.929912i
\(187\) 2.46505 + 4.09695i 0.180263 + 0.299599i
\(188\) −12.0086 11.3752i −0.875819 0.829619i
\(189\) −7.86324 17.5652i −0.571967 1.27768i
\(190\) 0.544078 5.00272i 0.0394716 0.362935i
\(191\) −24.7037 8.32366i −1.78750 0.602279i −0.787597 0.616191i \(-0.788675\pi\)
−0.999903 + 0.0139118i \(0.995572\pi\)
\(192\) −17.7715 + 13.9040i −1.28255 + 1.00343i
\(193\) 1.94125 1.83885i 0.139734 0.132363i −0.614641 0.788807i \(-0.710699\pi\)
0.754375 + 0.656444i \(0.227940\pi\)
\(194\) 11.8169 + 3.28095i 0.848404 + 0.235558i
\(195\) −7.25000 + 4.50077i −0.519184 + 0.322307i
\(196\) 16.9017 + 12.8484i 1.20727 + 0.917740i
\(197\) 12.2102 + 0.662016i 0.869938 + 0.0471667i 0.483702 0.875233i \(-0.339292\pi\)
0.386237 + 0.922400i \(0.373775\pi\)
\(198\) 7.96153 + 7.13185i 0.565802 + 0.506839i
\(199\) −2.26587 + 0.498756i −0.160623 + 0.0353559i −0.294554 0.955635i \(-0.595171\pi\)
0.133931 + 0.990991i \(0.457240\pi\)
\(200\) −5.33246 10.0581i −0.377062 0.711214i
\(201\) −7.98894 6.59670i −0.563496 0.465296i
\(202\) −1.47749 1.73944i −0.103956 0.122387i
\(203\) 20.0598 + 17.0390i 1.40793 + 1.19590i
\(204\) 15.5881 + 5.96086i 1.09138 + 0.417344i
\(205\) 5.48792 4.17180i 0.383293 0.291371i
\(206\) −0.663566 + 0.449909i −0.0462328 + 0.0313466i
\(207\) −1.49656 + 3.02323i −0.104018 + 0.210129i
\(208\) 1.19775 + 1.57561i 0.0830488 + 0.109249i
\(209\) 0.680545 + 4.15114i 0.0470743 + 0.287140i
\(210\) 4.00147 + 11.3514i 0.276128 + 0.783321i
\(211\) 9.29503 7.89527i 0.639896 0.543533i −0.267633 0.963521i \(-0.586242\pi\)
0.907530 + 0.419988i \(0.137966\pi\)
\(212\) 40.5002 + 6.63967i 2.78157 + 0.456014i
\(213\) 23.2026 + 0.934396i 1.58982 + 0.0640237i
\(214\) −3.04019 13.8117i −0.207823 0.944149i
\(215\) −3.15791 + 1.06402i −0.215368 + 0.0725658i
\(216\) 13.6695 + 0.911502i 0.930093 + 0.0620198i
\(217\) 7.90997 10.4054i 0.536964 0.706364i
\(218\) −3.67060 1.94603i −0.248604 0.131802i
\(219\) 16.2190 + 16.6519i 1.09598 + 1.12523i
\(220\) −2.81554 2.97233i −0.189824 0.200394i
\(221\) 6.73111 16.8938i 0.452783 1.13640i
\(222\) −16.6909 + 14.5820i −1.12022 + 0.978682i
\(223\) −14.1493 1.53883i −0.947510 0.103048i −0.378702 0.925519i \(-0.623630\pi\)
−0.568808 + 0.822471i \(0.692595\pi\)
\(224\) 20.2584 9.37252i 1.35357 0.626228i
\(225\) 3.11677 12.5730i 0.207784 0.838201i
\(226\) −33.5190 + 20.1677i −2.22965 + 1.34154i
\(227\) −2.43262 + 0.264563i −0.161459 + 0.0175597i −0.188491 0.982075i \(-0.560360\pi\)
0.0270327 + 0.999635i \(0.491394\pi\)
\(228\) 10.7990 + 9.94789i 0.715178 + 0.658815i
\(229\) −2.12526 + 0.590076i −0.140441 + 0.0389934i −0.337038 0.941491i \(-0.609425\pi\)
0.196596 + 0.980485i \(0.437011\pi\)
\(230\) 1.08769 1.80775i 0.0717201 0.119200i
\(231\) −5.76156 8.24819i −0.379083 0.542691i
\(232\) −17.4054 + 6.93496i −1.14272 + 0.455302i
\(233\) −0.489734 9.03262i −0.0320836 0.591747i −0.969734 0.244166i \(-0.921486\pi\)
0.937650 0.347581i \(-0.112997\pi\)
\(234\) 3.26902 40.5218i 0.213702 2.64899i
\(235\) 4.32242i 0.281963i
\(236\) 11.5190 21.3703i 0.749825 1.39109i
\(237\) −16.5340 9.63737i −1.07400 0.626014i
\(238\) −21.2300 14.3943i −1.37614 0.933043i
\(239\) −11.1639 + 0.605290i −0.722134 + 0.0391530i −0.411543 0.911391i \(-0.635010\pi\)
−0.310591 + 0.950544i \(0.600527\pi\)
\(240\) 0.469403 + 0.0702618i 0.0302998 + 0.00453538i
\(241\) 16.9628 + 7.84783i 1.09267 + 0.505523i 0.881624 0.471953i \(-0.156451\pi\)
0.211047 + 0.977476i \(0.432313\pi\)
\(242\) −16.6235 10.0021i −1.06860 0.642957i
\(243\) 10.8933 + 11.1506i 0.698808 + 0.715309i
\(244\) 1.19005 5.40643i 0.0761849 0.346111i
\(245\) −0.599842 5.51545i −0.0383225 0.352369i
\(246\) 0.457001 + 32.8379i 0.0291373 + 2.09367i
\(247\) 11.0026 11.6153i 0.700079 0.739064i
\(248\) 3.90687 + 8.44456i 0.248086 + 0.536230i
\(249\) 0.674795 + 0.498303i 0.0427634 + 0.0315787i
\(250\) −5.58219 + 16.5674i −0.353049 + 1.04781i
\(251\) −18.5041 7.37272i −1.16797 0.465362i −0.296128 0.955148i \(-0.595696\pi\)
−0.871843 + 0.489786i \(0.837075\pi\)
\(252\) −33.5786 10.2827i −2.11525 0.647748i
\(253\) −0.471811 + 1.69931i −0.0296625 + 0.106835i
\(254\) 5.45107 10.2818i 0.342031 0.645139i
\(255\) −1.67043 4.02850i −0.104606 0.252274i
\(256\) −0.746718 + 13.7724i −0.0466699 + 0.860775i
\(257\) 2.97111 + 8.81794i 0.185333 + 0.550048i 0.999534 0.0305354i \(-0.00972122\pi\)
−0.814201 + 0.580583i \(0.802825\pi\)
\(258\) 4.85919 15.1134i 0.302520 0.940921i
\(259\) 18.4321 9.77209i 1.14532 0.607208i
\(260\) −2.51921 + 15.3665i −0.156234 + 0.952988i
\(261\) −20.0168 7.33678i −1.23901 0.454135i
\(262\) 23.3554 27.4961i 1.44290 1.69872i
\(263\) 5.84606 0.958412i 0.360483 0.0590982i 0.0211811 0.999776i \(-0.493257\pi\)
0.339302 + 0.940677i \(0.389809\pi\)
\(264\) 7.10882 0.873385i 0.437517 0.0537531i
\(265\) −6.01854 8.87669i −0.369716 0.545291i
\(266\) −12.6638 18.6777i −0.776468 1.14520i
\(267\) −26.7748 + 3.28953i −1.63859 + 0.201316i
\(268\) −18.6565 + 3.05858i −1.13963 + 0.186832i
\(269\) −15.9881 + 18.8227i −0.974813 + 1.14764i 0.0142135 + 0.999899i \(0.495476\pi\)
−0.989026 + 0.147739i \(0.952800\pi\)
\(270\) −6.21876 7.50828i −0.378462 0.456939i
\(271\) −0.424905 + 2.59181i −0.0258112 + 0.157441i −0.996587 0.0825459i \(-0.973695\pi\)
0.970776 + 0.239987i \(0.0771432\pi\)
\(272\) −0.893653 + 0.473785i −0.0541856 + 0.0287274i
\(273\) −11.7128 + 36.4301i −0.708891 + 2.20485i
\(274\) −6.16620 18.3006i −0.372514 1.10558i
\(275\) 0.366634 6.76217i 0.0221089 0.407774i
\(276\) 2.35779 + 5.68619i 0.141922 + 0.342268i
\(277\) 14.9059 28.1156i 0.895611 1.68930i 0.188656 0.982043i \(-0.439587\pi\)
0.706955 0.707258i \(-0.250068\pi\)
\(278\) 11.2684 40.5852i 0.675835 2.43414i
\(279\) −3.10000 + 10.1232i −0.185592 + 0.606059i
\(280\) 7.49225 + 2.98518i 0.447747 + 0.178399i
\(281\) −2.75873 + 8.18762i −0.164572 + 0.488433i −0.997931 0.0643002i \(-0.979518\pi\)
0.833358 + 0.552733i \(0.186415\pi\)
\(282\) −16.5650 12.2325i −0.986433 0.728432i
\(283\) −4.08578 8.83126i −0.242874 0.524964i 0.747353 0.664427i \(-0.231324\pi\)
−0.990227 + 0.139463i \(0.955462\pi\)
\(284\) 29.1405 30.7633i 1.72917 1.82546i
\(285\) −0.0533913 3.83643i −0.00316263 0.227251i
\(286\) −2.29791 21.1289i −0.135878 1.24938i
\(287\) 6.64538 30.1902i 0.392264 1.78207i
\(288\) −12.7752 + 12.7944i −0.752786 + 0.753915i
\(289\) −6.60309 3.97295i −0.388417 0.233703i
\(290\) 12.1009 + 5.59845i 0.710587 + 0.328752i
\(291\) 9.24758 + 1.38421i 0.542103 + 0.0811437i
\(292\) 42.3552 2.29643i 2.47865 0.134388i
\(293\) −0.556012 0.376985i −0.0324826 0.0220237i 0.544838 0.838541i \(-0.316591\pi\)
−0.577320 + 0.816518i \(0.695902\pi\)
\(294\) 22.8347 + 13.3100i 1.33175 + 0.776252i
\(295\) −6.12431 + 1.65506i −0.356571 + 0.0963614i
\(296\) 14.8512i 0.863211i
\(297\) 6.68804 + 4.65686i 0.388079 + 0.270219i
\(298\) 0.992500 + 18.3056i 0.0574940 + 1.06041i
\(299\) 6.23122 2.48274i 0.360361 0.143581i
\(300\) −13.5360 19.3779i −0.781498 1.11878i
\(301\) −7.70410 + 12.8043i −0.444057 + 0.738028i
\(302\) 7.99549 2.21994i 0.460089 0.127743i
\(303\) −1.27983 1.17897i −0.0735243 0.0677298i
\(304\) −0.884661 + 0.0962127i −0.0507388 + 0.00551818i
\(305\) −1.23954 + 0.745807i −0.0709759 + 0.0427048i
\(306\) 20.1660 + 4.99901i 1.15281 + 0.285774i
\(307\) −23.3276 + 10.7925i −1.33137 + 0.615959i −0.951091 0.308911i \(-0.900036\pi\)
−0.380283 + 0.924870i \(0.624174\pi\)
\(308\) −18.2519 1.98501i −1.04000 0.113106i
\(309\) −0.460329 + 0.402167i −0.0261872 + 0.0228785i
\(310\) 2.45082 6.15109i 0.139197 0.349359i
\(311\) 18.2113 + 19.2255i 1.03267 + 1.09018i 0.995864 + 0.0908530i \(0.0289594\pi\)
0.0368048 + 0.999322i \(0.488282\pi\)
\(312\) −19.0069 19.5141i −1.07605 1.10477i
\(313\) 12.8542 + 6.81485i 0.726560 + 0.385198i 0.790260 0.612771i \(-0.209945\pi\)
−0.0637001 + 0.997969i \(0.520290\pi\)
\(314\) −5.44339 + 7.16066i −0.307188 + 0.404099i
\(315\) 4.08354 + 8.21823i 0.230082 + 0.463045i
\(316\) −33.0940 + 11.1507i −1.86168 + 0.627273i
\(317\) 5.47251 + 24.8619i 0.307367 + 1.39638i 0.836558 + 0.547879i \(0.184564\pi\)
−0.529191 + 0.848503i \(0.677504\pi\)
\(318\) 51.0511 + 2.05589i 2.86280 + 0.115288i
\(319\) −10.9987 1.80315i −0.615809 0.100957i
\(320\) 8.20060 6.96565i 0.458428 0.389392i
\(321\) −3.58483 10.1695i −0.200086 0.567604i
\(322\) −1.53059 9.33617i −0.0852963 0.520284i
\(323\) 4.94822 + 6.50927i 0.275326 + 0.362186i
\(324\) 28.4014 1.58257i 1.57785 0.0879206i
\(325\) −21.3187 + 14.4544i −1.18255 + 0.801789i
\(326\) 44.9625 34.1796i 2.49024 1.89303i
\(327\) −2.95868 1.13140i −0.163616 0.0625665i
\(328\) 16.7721 + 14.2464i 0.926085 + 0.786624i
\(329\) 12.5484 + 14.7731i 0.691814 + 0.814466i
\(330\) −3.93018 3.24527i −0.216349 0.178646i
\(331\) −0.835390 1.57571i −0.0459172 0.0866090i 0.859492 0.511150i \(-0.170780\pi\)
−0.905409 + 0.424541i \(0.860435\pi\)
\(332\) 1.49491 0.329054i 0.0820438 0.0180592i
\(333\) −11.2752 + 12.5869i −0.617878 + 0.689758i
\(334\) 13.3038 + 0.721310i 0.727950 + 0.0394683i
\(335\) 3.93297 + 2.98977i 0.214881 + 0.163348i
\(336\) 1.80829 1.12258i 0.0986505 0.0612418i
\(337\) −34.5835 9.60206i −1.88388 0.523058i −0.998281 0.0586141i \(-0.981332\pi\)
−0.885603 0.464444i \(-0.846254\pi\)
\(338\) −37.2460 + 35.2813i −2.02591 + 1.91905i
\(339\) −23.4907 + 18.3785i −1.27584 + 0.998184i
\(340\) −7.54144 2.54101i −0.408992 0.137805i
\(341\) −0.598435 + 5.50252i −0.0324071 + 0.297978i
\(342\) 14.8537 + 10.6525i 0.803194 + 0.576022i
\(343\) 0.760048 + 0.719956i 0.0410388 + 0.0388740i
\(344\) −5.48431 9.11499i −0.295694 0.491447i
\(345\) 0.655042 1.46916i 0.0352663 0.0790969i
\(346\) 27.7890 + 6.11682i 1.49394 + 0.328842i
\(347\) −1.28078 4.61294i −0.0687557 0.247636i 0.921184 0.389128i \(-0.127224\pi\)
−0.989939 + 0.141493i \(0.954810\pi\)
\(348\) −34.1138 + 18.6987i −1.82869 + 1.00236i
\(349\) −5.11858 + 11.0636i −0.273991 + 0.592222i −0.994907 0.100801i \(-0.967859\pi\)
0.720916 + 0.693023i \(0.243722\pi\)
\(350\) 13.4467 + 33.7488i 0.718759 + 1.80395i
\(351\) −1.29365 30.9691i −0.0690500 1.65301i
\(352\) −5.30457 + 7.82365i −0.282734 + 0.417002i
\(353\) −14.1172 −0.751383 −0.375692 0.926745i \(-0.622595\pi\)
−0.375692 + 0.926745i \(0.622595\pi\)
\(354\) 10.9891 28.1544i 0.584061 1.49639i
\(355\) −11.0730 −0.587694
\(356\) −27.6246 + 40.7433i −1.46410 + 2.15939i
\(357\) −17.4043 8.91914i −0.921131 0.472051i
\(358\) −0.607376 1.52440i −0.0321008 0.0805670i
\(359\) 4.98119 10.7667i 0.262897 0.568242i −0.730508 0.682905i \(-0.760716\pi\)
0.993405 + 0.114662i \(0.0365786\pi\)
\(360\) −6.53045 0.172008i −0.344185 0.00906564i
\(361\) −3.15856 11.3761i −0.166240 0.598743i
\(362\) −6.39881 1.40848i −0.336314 0.0740283i
\(363\) −13.5099 6.02357i −0.709088 0.316155i
\(364\) 36.0002 + 59.8328i 1.88692 + 3.13609i
\(365\) −8.04720 7.62272i −0.421210 0.398991i
\(366\) 0.649711 6.86100i 0.0339609 0.358630i
\(367\) 2.96680 27.2793i 0.154866 1.42397i −0.616390 0.787441i \(-0.711406\pi\)
0.771256 0.636525i \(-0.219629\pi\)
\(368\) −0.353550 0.119125i −0.0184301 0.00620982i
\(369\) 3.39893 + 24.8078i 0.176941 + 1.29144i
\(370\) 7.67273 7.26799i 0.398886 0.377845i
\(371\) −46.3399 12.8662i −2.40585 0.667981i
\(372\) 10.1895 + 16.4136i 0.528301 + 0.851008i
\(373\) 19.4108 + 14.7557i 1.00505 + 0.764021i 0.971891 0.235429i \(-0.0756496\pi\)
0.0331605 + 0.999450i \(0.489443\pi\)
\(374\) 10.8459 + 0.588047i 0.560828 + 0.0304072i
\(375\) −2.68402 + 13.0565i −0.138602 + 0.674234i
\(376\) −13.4756 + 2.96621i −0.694953 + 0.152971i
\(377\) 19.8562 + 37.4527i 1.02265 + 1.92891i
\(378\) −43.0516 7.60806i −2.21434 0.391316i
\(379\) 22.4093 + 26.3822i 1.15109 + 1.35516i 0.924504 + 0.381173i \(0.124480\pi\)
0.226583 + 0.973992i \(0.427244\pi\)
\(380\) −5.33613 4.53255i −0.273738 0.232515i
\(381\) 3.16919 8.28766i 0.162363 0.424590i
\(382\) −47.1441 + 35.8380i −2.41210 + 1.83363i
\(383\) 13.1490 8.91526i 0.671884 0.455548i −0.176942 0.984221i \(-0.556621\pi\)
0.848826 + 0.528673i \(0.177310\pi\)
\(384\) 2.06683 + 30.3114i 0.105473 + 1.54682i
\(385\) 2.90341 + 3.81937i 0.147971 + 0.194653i
\(386\) −0.982714 5.99429i −0.0500188 0.305101i
\(387\) 2.27206 11.8890i 0.115495 0.604351i
\(388\) 13.0046 11.0462i 0.660208 0.560786i
\(389\) −5.81872 0.953931i −0.295021 0.0483662i 0.0124539 0.999922i \(-0.496036\pi\)
−0.307475 + 0.951556i \(0.599484\pi\)
\(390\) −0.780039 + 19.3697i −0.0394988 + 0.980821i
\(391\) 0.736917 + 3.34785i 0.0372675 + 0.169308i
\(392\) 16.7834 5.65500i 0.847692 0.285621i
\(393\) 15.1180 22.9794i 0.762600 1.15916i
\(394\) 16.8108 22.1143i 0.846918 1.11410i
\(395\) 8.06267 + 4.27456i 0.405677 + 0.215076i
\(396\) 14.4290 3.59980i 0.725082 0.180897i
\(397\) 7.22783 + 7.63032i 0.362754 + 0.382955i 0.881667 0.471872i \(-0.156422\pi\)
−0.518913 + 0.854827i \(0.673663\pi\)
\(398\) −1.95085 + 4.89626i −0.0977872 + 0.245427i
\(399\) −11.3200 12.9571i −0.566708 0.648666i
\(400\) 1.42421 + 0.154892i 0.0712105 + 0.00774461i
\(401\) −25.0787 + 11.6026i −1.25237 + 0.579408i −0.930123 0.367248i \(-0.880300\pi\)
−0.322247 + 0.946656i \(0.604438\pi\)
\(402\) −22.5882 + 6.61148i −1.12660 + 0.329751i
\(403\) 18.0382 10.8532i 0.898548 0.540638i
\(404\) −3.15667 + 0.343308i −0.157050 + 0.0170802i
\(405\) −5.40418 5.10376i −0.268536 0.253608i
\(406\) 57.6109 15.9956i 2.85918 0.793848i
\(407\) −4.55467 + 7.56993i −0.225767 + 0.375227i
\(408\) 11.4130 7.97227i 0.565028 0.394686i
\(409\) 3.46281 1.37971i 0.171225 0.0682223i −0.282950 0.959135i \(-0.591313\pi\)
0.454176 + 0.890912i \(0.349934\pi\)
\(410\) −0.847819 15.6371i −0.0418708 0.772262i
\(411\) −6.36782 13.2758i −0.314101 0.654849i
\(412\) 1.11542i 0.0549526i
\(413\) −16.1268 + 23.4361i −0.793547 + 1.15321i
\(414\) 3.77657 + 6.66808i 0.185608 + 0.327718i
\(415\) −0.331073 0.224473i −0.0162517 0.0110189i
\(416\) 35.8984 1.94635i 1.76006 0.0954279i
\(417\) 4.75407 31.7609i 0.232808 1.55534i
\(418\) 8.67280 + 4.01247i 0.424201 + 0.196256i
\(419\) 8.09257 + 4.86914i 0.395348 + 0.237873i 0.699321 0.714808i \(-0.253486\pi\)
−0.303973 + 0.952681i \(0.598313\pi\)
\(420\) 16.1961 + 4.25498i 0.790289 + 0.207622i
\(421\) −3.77727 + 17.1603i −0.184093 + 0.836342i 0.790518 + 0.612438i \(0.209811\pi\)
−0.974611 + 0.223904i \(0.928120\pi\)
\(422\) −2.99541 27.5423i −0.145814 1.34074i
\(423\) −13.6730 7.71688i −0.664805 0.375208i
\(424\) 23.5440 24.8551i 1.14340 1.20707i
\(425\) −5.52714 11.9467i −0.268105 0.579500i
\(426\) 31.3367 42.4357i 1.51827 2.05602i
\(427\) −2.07134 + 6.14751i −0.100239 + 0.297499i
\(428\) −18.2787 7.28292i −0.883536 0.352033i
\(429\) −3.70342 15.7759i −0.178803 0.761665i
\(430\) −2.02521 + 7.29416i −0.0976644 + 0.351755i
\(431\) 0.380190 0.717114i 0.0183131 0.0345421i −0.874187 0.485590i \(-0.838605\pi\)
0.892500 + 0.451048i \(0.148950\pi\)
\(432\) −1.06029 + 1.35942i −0.0510133 + 0.0654049i
\(433\) −1.20379 + 22.2026i −0.0578505 + 1.06699i 0.815143 + 0.579259i \(0.196658\pi\)
−0.872994 + 0.487731i \(0.837825\pi\)
\(434\) −9.48082 28.1381i −0.455094 1.35067i
\(435\) 9.67794 + 3.11160i 0.464022 + 0.149190i
\(436\) −5.10689 + 2.70750i −0.244576 + 0.129666i
\(437\) −0.487915 + 2.97615i −0.0233401 + 0.142369i
\(438\) 51.9866 9.26740i 2.48401 0.442814i
\(439\) 0.166393 0.195893i 0.00794149 0.00934944i −0.758177 0.652049i \(-0.773910\pi\)
0.766118 + 0.642699i \(0.222186\pi\)
\(440\) −3.37030 + 0.552532i −0.160673 + 0.0263409i
\(441\) 18.5179 + 7.94936i 0.881803 + 0.378541i
\(442\) −23.1836 34.1932i −1.10273 1.62641i
\(443\) −2.68647 3.96224i −0.127638 0.188252i 0.758501 0.651672i \(-0.225932\pi\)
−0.886138 + 0.463421i \(0.846622\pi\)
\(444\) 3.76023 + 30.6059i 0.178452 + 1.45249i
\(445\) 12.6940 2.08107i 0.601751 0.0986521i
\(446\) −20.9316 + 24.6426i −0.991142 + 1.16686i
\(447\) 2.45304 + 13.7606i 0.116025 + 0.650855i
\(448\) 7.80595 47.6142i 0.368797 2.24956i
\(449\) −10.0035 + 5.30354i −0.472096 + 0.250289i −0.687429 0.726251i \(-0.741261\pi\)
0.215334 + 0.976541i \(0.430916\pi\)
\(450\) −19.6671 21.8890i −0.927117 1.03186i
\(451\) 4.17986 + 12.4054i 0.196822 + 0.584147i
\(452\) −2.94654 + 54.3457i −0.138594 + 2.55621i
\(453\) 5.84426 2.42334i 0.274587 0.113858i
\(454\) −2.60377 + 4.91123i −0.122201 + 0.230495i
\(455\) 4.88166 17.5822i 0.228856 0.824264i
\(456\) 11.9239 2.79917i 0.558387 0.131083i
\(457\) −0.827168 0.329574i −0.0386933 0.0154168i 0.350711 0.936484i \(-0.385940\pi\)
−0.389405 + 0.921067i \(0.627319\pi\)
\(458\) −1.59989 + 4.74830i −0.0747579 + 0.221874i
\(459\) 15.7255 + 1.90811i 0.734005 + 0.0890630i
\(460\) −1.23249 2.66399i −0.0574654 0.124209i
\(461\) 15.6638 16.5361i 0.729535 0.770161i −0.250685 0.968069i \(-0.580656\pi\)
0.980221 + 0.197908i \(0.0634146\pi\)
\(462\) −22.8538 + 0.318055i −1.06326 + 0.0147972i
\(463\) −1.47379 13.5513i −0.0684928 0.629781i −0.977196 0.212338i \(-0.931892\pi\)
0.908703 0.417442i \(-0.137073\pi\)
\(464\) 0.506854 2.30266i 0.0235301 0.106898i
\(465\) 1.28278 4.88276i 0.0594875 0.226432i
\(466\) −17.6080 10.5944i −0.815674 0.490775i
\(467\) −19.8670 9.19144i −0.919334 0.425329i −0.0976164 0.995224i \(-0.531122\pi\)
−0.821718 + 0.569895i \(0.806984\pi\)
\(468\) −44.1109 35.4030i −2.03903 1.63650i
\(469\) 22.1216 1.19940i 1.02148 0.0553831i
\(470\) 8.12726 + 5.51042i 0.374882 + 0.254177i
\(471\) −3.45357 + 5.92499i −0.159132 + 0.273009i
\(472\) −9.36260 17.9575i −0.430948 0.826561i
\(473\) 6.32802i 0.290963i
\(474\) −39.1990 + 18.8020i −1.80047 + 0.863604i
\(475\) −0.626973 11.5638i −0.0287675 0.530586i
\(476\) −33.1518 + 13.2089i −1.51951 + 0.605428i
\(477\) 38.8245 3.19066i 1.77765 0.146090i
\(478\) −13.0942 + 21.7627i −0.598914 + 0.995403i
\(479\) 9.69684 2.69232i 0.443060 0.123015i −0.0388317 0.999246i \(-0.512364\pi\)
0.481892 + 0.876231i \(0.339950\pi\)
\(480\) 5.84136 6.34110i 0.266620 0.289430i
\(481\) 33.4041 3.63292i 1.52310 0.165647i
\(482\) 36.3809 21.8897i 1.65711 0.997047i
\(483\) −2.02631 6.92291i −0.0922004 0.315003i
\(484\) −24.4973 + 11.3336i −1.11351 + 0.515166i
\(485\) −4.43265 0.482080i −0.201276 0.0218901i
\(486\) 34.8533 6.26704i 1.58098 0.284279i
\(487\) −6.05212 + 15.1897i −0.274248 + 0.688310i 0.725752 + 0.687956i \(0.241492\pi\)
−1.00000 0.000353640i \(0.999887\pi\)
\(488\) −3.17576 3.35261i −0.143760 0.151766i
\(489\) 30.8479 30.0461i 1.39499 1.35873i
\(490\) −11.1352 5.90350i −0.503036 0.266693i
\(491\) −19.6399 + 25.8359i −0.886338 + 1.16596i 0.0989558 + 0.995092i \(0.468450\pi\)
−0.985294 + 0.170866i \(0.945343\pi\)
\(492\) 38.1716 + 25.1128i 1.72091 + 1.13217i
\(493\) −20.5301 + 6.91741i −0.924631 + 0.311545i
\(494\) −7.81315 35.4955i −0.351530 1.59702i
\(495\) −3.27593 2.09048i −0.147242 0.0939599i
\(496\) −1.15547 0.189430i −0.0518822 0.00850566i
\(497\) −37.8452 + 32.1460i −1.69759 + 1.44194i
\(498\) 1.79720 0.633528i 0.0805343 0.0283891i
\(499\) 3.84459 + 23.4510i 0.172107 + 1.04981i 0.921698 + 0.387907i \(0.126802\pi\)
−0.749591 + 0.661901i \(0.769750\pi\)
\(500\) 14.7199 + 19.3637i 0.658293 + 0.865970i
\(501\) 10.1348 0.691060i 0.452790 0.0308743i
\(502\) −37.4526 + 25.3935i −1.67159 + 1.13337i
\(503\) 29.3822 22.3358i 1.31009 0.995902i 0.311124 0.950369i \(-0.399295\pi\)
0.998963 0.0455329i \(-0.0144986\pi\)
\(504\) −22.8190 + 18.3706i −1.01644 + 0.818292i
\(505\) 0.632407 + 0.537172i 0.0281418 + 0.0239038i
\(506\) 2.59365 + 3.05348i 0.115302 + 0.135744i
\(507\) −24.9059 + 30.1623i −1.10611 + 1.33956i
\(508\) −7.58406 14.3051i −0.336488 0.634685i
\(509\) 15.7662 3.47041i 0.698827 0.153823i 0.148673 0.988886i \(-0.452500\pi\)
0.550154 + 0.835063i \(0.314569\pi\)
\(510\) −9.70416 1.99488i −0.429707 0.0883349i
\(511\) −49.6330 2.69103i −2.19564 0.119044i
\(512\) −2.98467 2.26889i −0.131905 0.100272i
\(513\) 12.2310 + 6.68035i 0.540014 + 0.294945i
\(514\) 20.3677 + 5.65506i 0.898381 + 0.249434i
\(515\) 0.211611 0.200448i 0.00932469 0.00883281i
\(516\) −13.6101 17.3959i −0.599151 0.765811i
\(517\) −7.77846 2.62087i −0.342096 0.115266i
\(518\) 5.12407 47.1151i 0.225139 2.07012i
\(519\) 21.5982 + 2.04527i 0.948058 + 0.0897776i
\(520\) 9.43044 + 8.93298i 0.413552 + 0.391737i
\(521\) 5.79879 + 9.63766i 0.254050 + 0.422234i 0.957467 0.288544i \(-0.0931710\pi\)
−0.703417 + 0.710777i \(0.748343\pi\)
\(522\) −39.3134 + 28.2834i −1.72070 + 1.23793i
\(523\) −9.30265 2.04767i −0.406777 0.0895383i 0.00686874 0.999976i \(-0.497814\pi\)
−0.413645 + 0.910438i \(0.635745\pi\)
\(524\) −13.4281 48.3636i −0.586609 2.11277i
\(525\) 13.3137 + 24.2895i 0.581059 + 1.06008i
\(526\) 5.65076 12.2139i 0.246385 0.532552i
\(527\) 3.98218 + 9.99451i 0.173466 + 0.435368i
\(528\) −0.411060 + 0.802117i −0.0178891 + 0.0349077i
\(529\) 12.1977 17.9903i 0.530336 0.782188i
\(530\) −24.3632 −1.05827
\(531\) 5.69841 22.3277i 0.247290 0.968942i
\(532\) −31.3961 −1.36120
\(533\) 27.9408 41.2096i 1.21025 1.78499i
\(534\) −27.9486 + 54.5371i −1.20945 + 2.36005i
\(535\) 1.90315 + 4.77654i 0.0822803 + 0.206508i
\(536\) −6.62199 + 14.3132i −0.286026 + 0.618236i
\(537\) −0.601368 1.09713i −0.0259509 0.0473447i
\(538\) 15.0091 + 54.0578i 0.647087 + 2.33060i
\(539\) 10.2891 + 2.26481i 0.443184 + 0.0975521i
\(540\) −13.5017 + 1.29898i −0.581021 + 0.0558993i
\(541\) −2.85168 4.73952i −0.122603 0.203768i 0.789477 0.613780i \(-0.210352\pi\)
−0.912080 + 0.410012i \(0.865524\pi\)
\(542\) 4.33158 + 4.10309i 0.186057 + 0.176243i
\(543\) −4.97330 0.470953i −0.213425 0.0202105i
\(544\) −1.98649 + 18.2655i −0.0851700 + 0.783125i
\(545\) 1.43140 + 0.482295i 0.0613144 + 0.0206592i
\(546\) 53.5659 + 68.4659i 2.29241 + 2.93007i
\(547\) −11.2059 + 10.6148i −0.479130 + 0.453856i −0.888745 0.458403i \(-0.848422\pi\)
0.409615 + 0.912259i \(0.365663\pi\)
\(548\) −25.8887 7.18797i −1.10591 0.307055i
\(549\) −0.146226 5.25252i −0.00624077 0.224172i
\(550\) −12.2472 9.31010i −0.522223 0.396984i
\(551\) −19.0318 1.03187i −0.810781 0.0439593i
\(552\) 5.02979 + 1.03397i 0.214082 + 0.0440089i
\(553\) 39.9659 8.79716i 1.69952 0.374093i
\(554\) −33.8618 63.8701i −1.43865 2.71358i
\(555\) 5.13066 6.21348i 0.217784 0.263748i
\(556\) −37.9382 44.6643i −1.60894 1.89419i
\(557\) 21.7785 + 18.4988i 0.922784 + 0.783820i 0.976674 0.214727i \(-0.0688862\pi\)
−0.0538902 + 0.998547i \(0.517162\pi\)
\(558\) 15.0822 + 18.7343i 0.638479 + 0.793086i
\(559\) −19.1603 + 14.5653i −0.810394 + 0.616046i
\(560\) −0.840038 + 0.569560i −0.0354981 + 0.0240683i
\(561\) 8.26239 0.563386i 0.348838 0.0237862i
\(562\) 11.8779 + 15.6251i 0.501038 + 0.659105i
\(563\) 2.88588 + 17.6031i 0.121625 + 0.741883i 0.975268 + 0.221024i \(0.0709399\pi\)
−0.853643 + 0.520859i \(0.825612\pi\)
\(564\) −27.0200 + 9.52481i −1.13775 + 0.401067i
\(565\) 10.8397 9.20733i 0.456030 0.387355i
\(566\) −21.8138 3.57619i −0.916902 0.150318i
\(567\) −33.2870 1.75474i −1.39792 0.0736922i
\(568\) −7.59874 34.5214i −0.318836 1.44849i
\(569\) 11.8509 3.99303i 0.496815 0.167397i −0.0597288 0.998215i \(-0.519024\pi\)
0.556544 + 0.830818i \(0.312127\pi\)
\(570\) −7.28155 4.79047i −0.304990 0.200651i
\(571\) −8.39235 + 11.0399i −0.351209 + 0.462008i −0.937445 0.348133i \(-0.886816\pi\)
0.586236 + 0.810140i \(0.300609\pi\)
\(572\) −26.1254 13.8508i −1.09236 0.579132i
\(573\) −32.3447 + 31.5039i −1.35122 + 1.31610i
\(574\) −48.2936 50.9830i −2.01574 2.12799i
\(575\) 1.79711 4.51041i 0.0749447 0.188097i
\(576\) 7.39367 + 38.3767i 0.308070 + 1.59903i
\(577\) −20.7119 2.25255i −0.862246 0.0937749i −0.333700 0.942679i \(-0.608297\pi\)
−0.528546 + 0.848905i \(0.677263\pi\)
\(578\) −15.8881 + 7.35062i −0.660858 + 0.305745i
\(579\) −1.30100 4.44486i −0.0540675 0.184722i
\(580\) 15.8950 9.56373i 0.660006 0.397112i
\(581\) −1.78320 + 0.193935i −0.0739796 + 0.00804577i
\(582\) 14.3919 15.6232i 0.596564 0.647602i
\(583\) 19.6235 5.44843i 0.812721 0.225651i
\(584\) 18.2424 30.3191i 0.754876 1.25461i
\(585\) 1.21059 + 14.7307i 0.0500518 + 0.609039i
\(586\) −1.41766 + 0.564847i −0.0585630 + 0.0233336i
\(587\) −0.614184 11.3280i −0.0253501 0.467555i −0.983457 0.181143i \(-0.942020\pi\)
0.958107 0.286412i \(-0.0924625\pi\)
\(588\) 33.1561 15.9035i 1.36733 0.655848i
\(589\) 9.46522i 0.390008i
\(590\) −4.69561 + 13.6252i −0.193315 + 0.560942i
\(591\) 10.6657 18.2982i 0.438727 0.752686i
\(592\) −1.54687 1.04880i −0.0635760 0.0431056i
\(593\) 20.5738 1.11548i 0.844863 0.0458071i 0.373376 0.927680i \(-0.378200\pi\)
0.471487 + 0.881873i \(0.343717\pi\)
\(594\) 17.2823 6.63845i 0.709103 0.272379i
\(595\) 8.46355 + 3.91565i 0.346972 + 0.160526i
\(596\) 21.8549 + 13.1497i 0.895213 + 0.538632i
\(597\) −1.02109 + 3.88667i −0.0417905 + 0.159071i
\(598\) 3.27565 14.8814i 0.133951 0.608546i
\(599\) −0.371731 3.41801i −0.0151885 0.139656i 0.984088 0.177680i \(-0.0568592\pi\)
−0.999277 + 0.0380240i \(0.987894\pi\)
\(600\) −19.7161 + 0.274387i −0.804907 + 0.0112018i
\(601\) −3.38618 + 3.57475i −0.138125 + 0.145817i −0.791388 0.611314i \(-0.790641\pi\)
0.653263 + 0.757131i \(0.273400\pi\)
\(602\) 14.2539 + 30.8092i 0.580944 + 1.25569i
\(603\) −16.4791 + 7.10342i −0.671080 + 0.289274i
\(604\) 3.68631 10.9406i 0.149994 0.445166i
\(605\) 6.55251 + 2.61076i 0.266397 + 0.106142i
\(606\) −3.84835 + 0.903410i −0.156328 + 0.0366985i
\(607\) 8.53371 30.7356i 0.346373 1.24752i −0.561219 0.827667i \(-0.689667\pi\)
0.907592 0.419854i \(-0.137919\pi\)
\(608\) −7.57152 + 14.2814i −0.307066 + 0.579187i
\(609\) 42.1104 17.4612i 1.70640 0.707562i
\(610\) −0.177915 + 3.28145i −0.00720356 + 0.132862i
\(611\) 9.96817 + 29.5845i 0.403269 + 1.19686i
\(612\) 21.5018 19.3192i 0.869158 0.780933i
\(613\) −34.8678 + 18.4858i −1.40830 + 0.746633i −0.987065 0.160320i \(-0.948748\pi\)
−0.421233 + 0.906952i \(0.638403\pi\)
\(614\) −9.44642 + 57.6206i −0.381226 + 2.32538i
\(615\) −2.09545 11.7547i −0.0844968 0.473995i
\(616\) −9.91490 + 11.6727i −0.399483 + 0.470307i
\(617\) 10.8181 1.77353i 0.435519 0.0713998i 0.0599657 0.998200i \(-0.480901\pi\)
0.375554 + 0.926801i \(0.377453\pi\)
\(618\) 0.169329 + 1.37824i 0.00681143 + 0.0554408i
\(619\) −12.0712 17.8036i −0.485181 0.715588i 0.503769 0.863838i \(-0.331946\pi\)
−0.988950 + 0.148250i \(0.952636\pi\)
\(620\) −5.16982 7.62491i −0.207625 0.306224i
\(621\) 3.47791 + 4.69500i 0.139564 + 0.188404i
\(622\) 59.3655 9.73247i 2.38034 0.390237i
\(623\) 37.3437 43.9644i 1.49614 1.76139i
\(624\) 3.37483 0.601615i 0.135101 0.0240839i
\(625\) −2.46445 + 15.0325i −0.0985782 + 0.601300i
\(626\) 29.2008 15.4813i 1.16710 0.618756i
\(627\) 6.93627 + 2.23011i 0.277008 + 0.0890622i
\(628\) 3.99586 + 11.8593i 0.159452 + 0.473237i
\(629\) −0.929683 + 17.1470i −0.0370689 + 0.683695i
\(630\) 20.6583 + 2.79887i 0.823046 + 0.111510i
\(631\) −2.46087 + 4.64169i −0.0979656 + 0.184783i −0.927651 0.373449i \(-0.878175\pi\)
0.829685 + 0.558232i \(0.188520\pi\)
\(632\) −7.79352 + 28.0697i −0.310009 + 1.11655i
\(633\) −4.82754 20.5644i −0.191878 0.817361i
\(634\) 53.7233 + 21.4053i 2.13363 + 0.850114i
\(635\) −1.35097 + 4.00954i −0.0536116 + 0.159114i
\(636\) 42.2271 57.1833i 1.67441 2.26747i
\(637\) −16.8251 36.3668i −0.666634 1.44091i
\(638\) −17.4120 + 18.3817i −0.689349 + 0.727737i
\(639\) 19.7688 35.0271i 0.782043 1.38565i
\(640\) −1.56636 14.4024i −0.0619158 0.569307i
\(641\) −3.59513 + 16.3329i −0.141999 + 0.645109i 0.850817 + 0.525462i \(0.176107\pi\)
−0.992816 + 0.119647i \(0.961824\pi\)
\(642\) −23.6913 6.22410i −0.935022 0.245646i
\(643\) 17.6952 + 10.6469i 0.697831 + 0.419871i 0.819790 0.572664i \(-0.194090\pi\)
−0.121959 + 0.992535i \(0.538918\pi\)
\(644\) −11.9462 5.52691i −0.470747 0.217791i
\(645\) −0.854423 + 5.70821i −0.0336429 + 0.224760i
\(646\) 18.5473 1.00561i 0.729735 0.0395651i
\(647\) 6.58737 + 4.46634i 0.258976 + 0.175590i 0.683765 0.729702i \(-0.260341\pi\)
−0.424789 + 0.905292i \(0.639652\pi\)
\(648\) 12.2030 20.3506i 0.479380 0.799446i
\(649\) 0.735048 12.0246i 0.0288531 0.472008i
\(650\) 58.5119i 2.29503i
\(651\) −9.79082 20.4122i −0.383732 0.800018i
\(652\) −4.25418 78.4637i −0.166607 3.07288i
\(653\) −7.01810 + 2.79627i −0.274640 + 0.109426i −0.503392 0.864058i \(-0.667915\pi\)
0.228752 + 0.973485i \(0.426535\pi\)
\(654\) −5.89919 + 4.12073i −0.230677 + 0.161133i
\(655\) −6.76216 + 11.2388i −0.264220 + 0.439136i
\(656\) −2.66833 + 0.740858i −0.104181 + 0.0289256i
\(657\) 38.4796 11.8466i 1.50123 0.462181i
\(658\) 43.7745 4.76076i 1.70651 0.185594i
\(659\) 13.0189 7.83319i 0.507143 0.305138i −0.238890 0.971047i \(-0.576784\pi\)
0.746033 + 0.665909i \(0.231956\pi\)
\(660\) −6.80573 + 1.99201i −0.264913 + 0.0775390i
\(661\) 20.7721 9.61022i 0.807943 0.373794i 0.0279709 0.999609i \(-0.491095\pi\)
0.779972 + 0.625815i \(0.215233\pi\)
\(662\) −4.02774 0.438043i −0.156543 0.0170250i
\(663\) −20.7235 23.7205i −0.804833 0.921229i
\(664\) 0.472626 1.18620i 0.0183414 0.0460335i
\(665\) 5.64212 + 5.95632i 0.218792 + 0.230976i
\(666\) 9.29248 + 37.2467i 0.360076 + 1.44328i
\(667\) −7.05993 3.74294i −0.273362 0.144927i
\(668\) 11.2179 14.7569i 0.434035 0.570963i
\(669\) −13.5490 + 20.5946i −0.523836 + 0.796235i
\(670\) 10.6355 3.58351i 0.410884 0.138443i
\(671\) −0.590539 2.68285i −0.0227975 0.103570i
\(672\) 1.55569 38.6305i 0.0600122 1.49020i
\(673\) −20.1353 3.30102i −0.776161 0.127245i −0.239334 0.970937i \(-0.576929\pi\)
−0.536827 + 0.843692i \(0.680377\pi\)
\(674\) −62.1430 + 52.7848i −2.39366 + 2.03319i
\(675\) −16.9184 14.7361i −0.651189 0.567194i
\(676\) 11.5477 + 70.4379i 0.444142 + 2.70915i
\(677\) −23.3590 30.7282i −0.897759 1.18098i −0.982813 0.184605i \(-0.940899\pi\)
0.0850537 0.996376i \(-0.472894\pi\)
\(678\) 4.60932 + 67.5984i 0.177020 + 2.59610i
\(679\) −16.5494 + 11.2207i −0.635106 + 0.430612i
\(680\) −5.28486 + 4.01744i −0.202665 + 0.154062i
\(681\) −1.51380 + 3.95870i −0.0580090 + 0.151698i
\(682\) 9.58324 + 8.14008i 0.366961 + 0.311700i
\(683\) 6.69820 + 7.88573i 0.256300 + 0.301739i 0.875230 0.483706i \(-0.160710\pi\)
−0.618931 + 0.785446i \(0.712434\pi\)
\(684\) 23.8644 8.78766i 0.912479 0.336004i
\(685\) 3.28873 + 6.20321i 0.125656 + 0.237012i
\(686\) 2.32265 0.511254i 0.0886791 0.0195198i
\(687\) −0.769256 + 3.74206i −0.0293490 + 0.142769i
\(688\) 1.33670 + 0.0724739i 0.0509613 + 0.00276304i
\(689\) −61.6646 46.8762i −2.34923 1.78584i
\(690\) −1.92732 3.10460i −0.0733718 0.118190i
\(691\) −0.847308 0.235254i −0.0322331 0.00894948i 0.251374 0.967890i \(-0.419117\pi\)
−0.283607 + 0.958940i \(0.591531\pi\)
\(692\) 28.7409 27.2248i 1.09257 1.03493i
\(693\) −17.2652 + 2.36552i −0.655853 + 0.0898587i
\(694\) −10.3063 3.47260i −0.391222 0.131818i
\(695\) −1.65570 + 15.2240i −0.0628045 + 0.577477i
\(696\) −3.05939 + 32.3074i −0.115966 + 1.22461i
\(697\) 18.4730 + 17.4985i 0.699714 + 0.662805i
\(698\) 14.2771 + 23.7287i 0.540395 + 0.898143i
\(699\) −14.3100 6.38028i −0.541254 0.241324i
\(700\) 49.3627 + 10.8656i 1.86574 + 0.410680i
\(701\) −1.28898 4.64247i −0.0486840 0.175344i 0.935211 0.354091i \(-0.115210\pi\)
−0.983895 + 0.178747i \(0.942796\pi\)
\(702\) −59.8791 37.0485i −2.25999 1.39830i
\(703\) −6.34357 + 13.7114i −0.239252 + 0.517135i
\(704\) 7.56275 + 18.9811i 0.285032 + 0.715376i
\(705\) 6.66270 + 3.41442i 0.250932 + 0.128595i
\(706\) −17.9973 + 26.5440i −0.677337 + 0.998997i
\(707\) 3.72089 0.139938
\(708\) −23.8415 34.6369i −0.896017 1.30173i
\(709\) −8.55694 −0.321363 −0.160681 0.987006i \(-0.551369\pi\)
−0.160681 + 0.987006i \(0.551369\pi\)
\(710\) −14.1164 + 20.8201i −0.529779 + 0.781365i
\(711\) −27.9161 + 17.8731i −1.04693 + 0.670293i
\(712\) 15.1991 + 38.1468i 0.569609 + 1.42961i
\(713\) −1.66624 + 3.60151i −0.0624011 + 0.134878i
\(714\) −38.9580 + 21.3540i −1.45797 + 0.799153i
\(715\) 2.06723 + 7.44548i 0.0773099 + 0.278445i
\(716\) −2.22967 0.490786i −0.0833265 0.0183415i
\(717\) −7.88575 + 17.6865i −0.294499 + 0.660516i
\(718\) −13.8938 23.0918i −0.518514 0.861776i
\(719\) −19.5064 18.4774i −0.727465 0.689091i 0.231430 0.972851i \(-0.425659\pi\)
−0.958895 + 0.283760i \(0.908418\pi\)
\(720\) 0.479101 0.668049i 0.0178550 0.0248967i
\(721\) 0.141320 1.29942i 0.00526303 0.0483927i
\(722\) −25.4167 8.56389i −0.945912 0.318715i
\(723\) 25.4964 19.9477i 0.948220 0.741863i
\(724\) −6.61800 + 6.26890i −0.245956 + 0.232982i
\(725\) 29.5657 + 8.20887i 1.09804 + 0.304870i
\(726\) −28.5490 + 17.7231i −1.05955 + 0.657765i
\(727\) 8.96562 + 6.81549i 0.332516 + 0.252772i 0.758088 0.652152i \(-0.226134\pi\)
−0.425571 + 0.904925i \(0.639927\pi\)
\(728\) 58.1645 + 3.15359i 2.15572 + 0.116880i
\(729\) 25.7928 7.98311i 0.955290 0.295671i
\(730\) −24.5916 + 5.41303i −0.910177 + 0.200345i
\(731\) −5.76149 10.8673i −0.213096 0.401942i
\(732\) −7.39358 6.10510i −0.273275 0.225651i
\(733\) −10.1036 11.8949i −0.373185 0.439347i 0.543226 0.839587i \(-0.317203\pi\)
−0.916411 + 0.400239i \(0.868927\pi\)
\(734\) −47.5098 40.3552i −1.75362 1.48954i
\(735\) −8.97552 3.43223i −0.331067 0.126600i
\(736\) −5.39502 + 4.10119i −0.198863 + 0.151172i
\(737\) −7.76501 + 5.26480i −0.286028 + 0.193932i
\(738\) 50.9782 + 25.2353i 1.87654 + 0.928924i
\(739\) −19.3418 25.4437i −0.711501 0.935963i 0.288266 0.957550i \(-0.406921\pi\)
−0.999767 + 0.0215871i \(0.993128\pi\)
\(740\) −2.37884 14.5103i −0.0874480 0.533409i
\(741\) −9.21285 26.1351i −0.338442 0.960096i
\(742\) −83.2681 + 70.7286i −3.05687 + 2.59653i
\(743\) 30.8456 + 5.05688i 1.13162 + 0.185519i 0.698356 0.715750i \(-0.253915\pi\)
0.433260 + 0.901269i \(0.357363\pi\)
\(744\) 16.1029 + 0.648480i 0.590360 + 0.0237744i
\(745\) −1.43281 6.50930i −0.0524939 0.238482i
\(746\) 52.4903 17.6860i 1.92181 0.647532i
\(747\) 1.30114 0.646522i 0.0476063 0.0236550i
\(748\) 9.14541 12.0306i 0.334389 0.439881i
\(749\) 20.3713 + 10.8002i 0.744351 + 0.394630i
\(750\) 21.1279 + 21.6917i 0.771480 + 0.792068i
\(751\) 26.0496 + 27.5002i 0.950564 + 1.00350i 0.999989 + 0.00472028i \(0.00150252\pi\)
−0.0494249 + 0.998778i \(0.515739\pi\)
\(752\) 0.642705 1.61307i 0.0234370 0.0588226i
\(753\) −25.9816 + 22.6989i −0.946821 + 0.827192i
\(754\) 95.7344 + 10.4117i 3.48644 + 0.379173i
\(755\) −2.73805 + 1.26676i −0.0996478 + 0.0461020i
\(756\) −42.3749 + 43.6364i −1.54116 + 1.58704i
\(757\) 11.1503 6.70890i 0.405264 0.243839i −0.298299 0.954473i \(-0.596419\pi\)
0.703562 + 0.710633i \(0.251592\pi\)
\(758\) 78.1738 8.50191i 2.83940 0.308803i
\(759\) 2.24666 + 2.06960i 0.0815487 + 0.0751218i
\(760\) −5.62753 + 1.56248i −0.204132 + 0.0566770i
\(761\) −14.9832 + 24.9022i −0.543139 + 0.902704i 0.456775 + 0.889582i \(0.349004\pi\)
−0.999914 + 0.0131217i \(0.995823\pi\)
\(762\) −11.5427 16.5244i −0.418148 0.598616i
\(763\) 6.29236 2.50710i 0.227799 0.0907633i
\(764\) 4.46060 + 82.2709i 0.161379 + 2.97646i
\(765\) −7.52918 0.607402i −0.272218 0.0219607i
\(766\) 36.0891i 1.30395i
\(767\) −38.1006 + 25.4516i −1.37573 + 0.919003i
\(768\) 20.6393 + 12.0303i 0.744757 + 0.434106i
\(769\) −26.1215 17.7108i −0.941966 0.638669i −0.00951069 0.999955i \(-0.503027\pi\)
−0.932455 + 0.361286i \(0.882338\pi\)
\(770\) 10.8828 0.590048i 0.392189 0.0212639i
\(771\) 15.9392 + 2.38583i 0.574036 + 0.0859236i
\(772\) −7.67008 3.54856i −0.276052 0.127715i
\(773\) 43.4564 +