Properties

Label 403.2.bs.a.4.19
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.19
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.00797121 - 0.0375016i) q^{2} +(-0.129846 - 0.144209i) q^{3} +(1.82575 + 0.812875i) q^{4} +2.93327i q^{5} +(-0.00644308 + 0.00371992i) q^{6} +(1.61684 - 3.63149i) q^{7} +(0.0901082 - 0.124023i) q^{8} +(0.309649 - 2.94612i) q^{9} +O(q^{10})\) \(q+(0.00797121 - 0.0375016i) q^{2} +(-0.129846 - 0.144209i) q^{3} +(1.82575 + 0.812875i) q^{4} +2.93327i q^{5} +(-0.00644308 + 0.00371992i) q^{6} +(1.61684 - 3.63149i) q^{7} +(0.0901082 - 0.124023i) q^{8} +(0.309649 - 2.94612i) q^{9} +(0.110002 + 0.0233817i) q^{10} +(-1.27640 + 0.134155i) q^{11} +(-0.119842 - 0.368837i) q^{12} +(3.52450 - 0.760192i) q^{13} +(-0.123299 - 0.0895816i) q^{14} +(0.423003 - 0.380873i) q^{15} +(2.67062 + 2.96603i) q^{16} +(-0.327006 + 3.11125i) q^{17} +(-0.108016 - 0.0350964i) q^{18} +(3.62303 + 3.26219i) q^{19} +(-2.38438 + 5.35541i) q^{20} +(-0.733633 + 0.238372i) q^{21} +(-0.00514341 + 0.0489363i) q^{22} +(-7.33294 + 3.26484i) q^{23} +(-0.0295854 + 0.00310955i) q^{24} -3.60407 q^{25} +(-0.000413877 - 0.138234i) q^{26} +(-0.936036 + 0.680070i) q^{27} +(5.90390 - 5.31590i) q^{28} +(3.24645 + 0.690055i) q^{29} +(-0.0109115 - 0.0188993i) q^{30} +(-4.13195 - 3.73189i) q^{31} +(0.398044 - 0.229811i) q^{32} +(0.185081 + 0.166648i) q^{33} +(0.114070 + 0.0370637i) q^{34} +(10.6521 + 4.74264i) q^{35} +(2.96017 - 5.12716i) q^{36} +(4.50325 + 2.59995i) q^{37} +(0.151217 - 0.109866i) q^{38} +(-0.567269 - 0.409555i) q^{39} +(0.363794 + 0.264312i) q^{40} +(2.46638 - 11.6034i) q^{41} +(0.00309138 + 0.0294125i) q^{42} +(-6.24964 + 6.94092i) q^{43} +(-2.43943 - 0.792619i) q^{44} +(8.64175 + 0.908284i) q^{45} +(0.0639841 + 0.301022i) q^{46} +(-10.1143 - 3.28634i) q^{47} +(0.0809569 - 0.770254i) q^{48} +(-5.88964 - 6.54110i) q^{49} +(-0.0287288 + 0.135158i) q^{50} +(0.491130 - 0.356827i) q^{51} +(7.05279 + 1.47706i) q^{52} +(0.0863699 + 0.0627514i) q^{53} +(0.0180424 + 0.0405238i) q^{54} +(-0.393512 - 3.74401i) q^{55} +(-0.304699 - 0.527754i) q^{56} -0.946053i q^{57} +(0.0517563 - 0.116247i) q^{58} +(-1.02717 - 4.83246i) q^{59} +(1.08190 - 0.351530i) q^{60} +(-2.04422 - 3.54069i) q^{61} +(-0.172888 + 0.125207i) q^{62} +(-10.1981 - 5.88790i) q^{63} +(2.46124 + 7.57492i) q^{64} +(2.22985 + 10.3383i) q^{65} +(0.00772488 - 0.00561246i) q^{66} +(-8.11901 - 4.68751i) q^{67} +(-3.12609 + 5.41455i) q^{68} +(1.42297 + 0.633547i) q^{69} +(0.262767 - 0.361668i) q^{70} +(-1.75797 - 0.184770i) q^{71} +(-0.337485 - 0.303873i) q^{72} +(1.60574 + 2.21011i) q^{73} +(0.133399 - 0.148154i) q^{74} +(0.467974 + 0.519737i) q^{75} +(3.96298 + 8.90100i) q^{76} +(-1.57655 + 4.85213i) q^{77} +(-0.0198808 + 0.0180088i) q^{78} +(4.66780 + 3.39135i) q^{79} +(-8.70015 + 7.83365i) q^{80} +(-8.47322 - 1.80104i) q^{81} +(-0.415487 - 0.184987i) q^{82} +(0.400091 - 0.129997i) q^{83} +(-1.53320 - 0.161145i) q^{84} +(-9.12613 - 0.959195i) q^{85} +(0.210479 + 0.289699i) q^{86} +(-0.322027 - 0.557767i) q^{87} +(-0.0983755 + 0.170391i) q^{88} +(0.340199 - 0.0357563i) q^{89} +(0.102947 - 0.316839i) q^{90} +(2.93794 - 14.0283i) q^{91} -16.0420 q^{92} +(-0.00165301 + 1.08043i) q^{93} +(-0.203866 + 0.353106i) q^{94} +(-9.56887 + 10.6273i) q^{95} +(-0.0848252 - 0.0275614i) q^{96} +(0.696924 - 1.56532i) q^{97} +(-0.292249 + 0.168730i) q^{98} +3.80195i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00797121 0.0375016i 0.00563650 0.0265176i −0.975239 0.221151i \(-0.929019\pi\)
0.980876 + 0.194634i \(0.0623518\pi\)
\(3\) −0.129846 0.144209i −0.0749666 0.0832589i 0.704495 0.709709i \(-0.251174\pi\)
−0.779461 + 0.626450i \(0.784507\pi\)
\(4\) 1.82575 + 0.812875i 0.912874 + 0.406438i
\(5\) 2.93327i 1.31180i 0.754849 + 0.655899i \(0.227710\pi\)
−0.754849 + 0.655899i \(0.772290\pi\)
\(6\) −0.00644308 + 0.00371992i −0.00263038 + 0.00151865i
\(7\) 1.61684 3.63149i 0.611110 1.37258i −0.297417 0.954748i \(-0.596125\pi\)
0.908526 0.417827i \(-0.137208\pi\)
\(8\) 0.0901082 0.124023i 0.0318581 0.0438489i
\(9\) 0.309649 2.94612i 0.103216 0.982039i
\(10\) 0.110002 + 0.0233817i 0.0347858 + 0.00739394i
\(11\) −1.27640 + 0.134155i −0.384848 + 0.0404491i −0.294977 0.955504i \(-0.595312\pi\)
−0.0898707 + 0.995953i \(0.528645\pi\)
\(12\) −0.119842 0.368837i −0.0345955 0.106474i
\(13\) 3.52450 0.760192i 0.977521 0.210839i
\(14\) −0.123299 0.0895816i −0.0329529 0.0239417i
\(15\) 0.423003 0.380873i 0.109219 0.0983411i
\(16\) 2.67062 + 2.96603i 0.667656 + 0.741507i
\(17\) −0.327006 + 3.11125i −0.0793105 + 0.754589i 0.880520 + 0.474009i \(0.157194\pi\)
−0.959831 + 0.280580i \(0.909473\pi\)
\(18\) −0.108016 0.0350964i −0.0254596 0.00827231i
\(19\) 3.62303 + 3.26219i 0.831179 + 0.748397i 0.970307 0.241878i \(-0.0777632\pi\)
−0.139128 + 0.990274i \(0.544430\pi\)
\(20\) −2.38438 + 5.35541i −0.533164 + 1.19751i
\(21\) −0.733633 + 0.238372i −0.160092 + 0.0520170i
\(22\) −0.00514341 + 0.0489363i −0.00109658 + 0.0104332i
\(23\) −7.33294 + 3.26484i −1.52902 + 0.680765i −0.987165 0.159704i \(-0.948946\pi\)
−0.541859 + 0.840469i \(0.682279\pi\)
\(24\) −0.0295854 + 0.00310955i −0.00603910 + 0.000634735i
\(25\) −3.60407 −0.720813
\(26\) −0.000413877 0.138234i −8.11679e−5 0.0271099i
\(27\) −0.936036 + 0.680070i −0.180140 + 0.130879i
\(28\) 5.90390 5.31590i 1.11573 1.00461i
\(29\) 3.24645 + 0.690055i 0.602851 + 0.128140i 0.499219 0.866476i \(-0.333620\pi\)
0.103632 + 0.994616i \(0.466954\pi\)
\(30\) −0.0109115 0.0188993i −0.00199216 0.00345052i
\(31\) −4.13195 3.73189i −0.742120 0.670267i
\(32\) 0.398044 0.229811i 0.0703650 0.0406252i
\(33\) 0.185081 + 0.166648i 0.0322185 + 0.0290097i
\(34\) 0.114070 + 0.0370637i 0.0195629 + 0.00635637i
\(35\) 10.6521 + 4.74264i 1.80054 + 0.801652i
\(36\) 2.96017 5.12716i 0.493361 0.854527i
\(37\) 4.50325 + 2.59995i 0.740329 + 0.427429i 0.822189 0.569215i \(-0.192753\pi\)
−0.0818597 + 0.996644i \(0.526086\pi\)
\(38\) 0.151217 0.109866i 0.0245307 0.0178226i
\(39\) −0.567269 0.409555i −0.0908357 0.0655814i
\(40\) 0.363794 + 0.264312i 0.0575208 + 0.0417913i
\(41\) 2.46638 11.6034i 0.385184 1.81215i −0.175919 0.984405i \(-0.556290\pi\)
0.561104 0.827746i \(-0.310377\pi\)
\(42\) 0.00309138 + 0.0294125i 0.000477011 + 0.00453845i
\(43\) −6.24964 + 6.94092i −0.953060 + 1.05848i 0.0451678 + 0.998979i \(0.485618\pi\)
−0.998228 + 0.0595014i \(0.981049\pi\)
\(44\) −2.43943 0.792619i −0.367758 0.119492i
\(45\) 8.64175 + 0.908284i 1.28824 + 0.135399i
\(46\) 0.0639841 + 0.301022i 0.00943395 + 0.0443832i
\(47\) −10.1143 3.28634i −1.47532 0.479361i −0.542611 0.839984i \(-0.682564\pi\)
−0.932712 + 0.360623i \(0.882564\pi\)
\(48\) 0.0809569 0.770254i 0.0116851 0.111177i
\(49\) −5.88964 6.54110i −0.841377 0.934443i
\(50\) −0.0287288 + 0.135158i −0.00406286 + 0.0191143i
\(51\) 0.491130 0.356827i 0.0687719 0.0499657i
\(52\) 7.05279 + 1.47706i 0.978046 + 0.204832i
\(53\) 0.0863699 + 0.0627514i 0.0118638 + 0.00861957i 0.593701 0.804685i \(-0.297666\pi\)
−0.581838 + 0.813305i \(0.697666\pi\)
\(54\) 0.0180424 + 0.0405238i 0.00245525 + 0.00551459i
\(55\) −0.393512 3.74401i −0.0530611 0.504843i
\(56\) −0.304699 0.527754i −0.0407171 0.0705241i
\(57\) 0.946053i 0.125308i
\(58\) 0.0517563 0.116247i 0.00679594 0.0152639i
\(59\) −1.02717 4.83246i −0.133726 0.629132i −0.993049 0.117699i \(-0.962448\pi\)
0.859323 0.511433i \(-0.170885\pi\)
\(60\) 1.08190 0.351530i 0.139673 0.0453824i
\(61\) −2.04422 3.54069i −0.261736 0.453340i 0.704968 0.709240i \(-0.250962\pi\)
−0.966703 + 0.255900i \(0.917628\pi\)
\(62\) −0.172888 + 0.125207i −0.0219568 + 0.0159013i
\(63\) −10.1981 5.88790i −1.28485 0.741806i
\(64\) 2.46124 + 7.57492i 0.307655 + 0.946865i
\(65\) 2.22985 + 10.3383i 0.276579 + 1.28231i
\(66\) 0.00772488 0.00561246i 0.000950867 0.000690846i
\(67\) −8.11901 4.68751i −0.991895 0.572671i −0.0860551 0.996290i \(-0.527426\pi\)
−0.905840 + 0.423619i \(0.860759\pi\)
\(68\) −3.12609 + 5.41455i −0.379094 + 0.656610i
\(69\) 1.42297 + 0.633547i 0.171306 + 0.0762701i
\(70\) 0.262767 0.361668i 0.0314067 0.0432276i
\(71\) −1.75797 0.184770i −0.208633 0.0219282i −0.000364452 1.00000i \(-0.500116\pi\)
−0.208268 + 0.978072i \(0.566783\pi\)
\(72\) −0.337485 0.303873i −0.0397730 0.0358118i
\(73\) 1.60574 + 2.21011i 0.187938 + 0.258674i 0.892580 0.450888i \(-0.148893\pi\)
−0.704643 + 0.709562i \(0.748893\pi\)
\(74\) 0.133399 0.148154i 0.0155073 0.0172226i
\(75\) 0.467974 + 0.519737i 0.0540369 + 0.0600141i
\(76\) 3.96298 + 8.90100i 0.454585 + 1.02101i
\(77\) −1.57655 + 4.85213i −0.179665 + 0.552952i
\(78\) −0.0198808 + 0.0180088i −0.00225106 + 0.00203910i
\(79\) 4.66780 + 3.39135i 0.525168 + 0.381557i 0.818547 0.574439i \(-0.194780\pi\)
−0.293379 + 0.955996i \(0.594780\pi\)
\(80\) −8.70015 + 7.83365i −0.972707 + 0.875829i
\(81\) −8.47322 1.80104i −0.941468 0.200115i
\(82\) −0.415487 0.184987i −0.0458828 0.0204284i
\(83\) 0.400091 0.129997i 0.0439156 0.0142691i −0.286977 0.957938i \(-0.592650\pi\)
0.330892 + 0.943668i \(0.392650\pi\)
\(84\) −1.53320 0.161145i −0.167285 0.0175824i
\(85\) −9.12613 0.959195i −0.989868 0.104039i
\(86\) 0.210479 + 0.289699i 0.0226965 + 0.0312390i
\(87\) −0.322027 0.557767i −0.0345249 0.0597989i
\(88\) −0.0983755 + 0.170391i −0.0104869 + 0.0181638i
\(89\) 0.340199 0.0357563i 0.0360610 0.00379016i −0.0864808 0.996254i \(-0.527562\pi\)
0.122542 + 0.992463i \(0.460895\pi\)
\(90\) 0.102947 0.316839i 0.0108516 0.0333978i
\(91\) 2.93794 14.0283i 0.307980 1.47057i
\(92\) −16.0420 −1.67250
\(93\) −0.00165301 + 1.08043i −0.000171409 + 0.112036i
\(94\) −0.203866 + 0.353106i −0.0210272 + 0.0364201i
\(95\) −9.56887 + 10.6273i −0.981745 + 1.09034i
\(96\) −0.0848252 0.0275614i −0.00865744 0.00281297i
\(97\) 0.696924 1.56532i 0.0707619 0.158934i −0.874702 0.484662i \(-0.838943\pi\)
0.945464 + 0.325728i \(0.105609\pi\)
\(98\) −0.292249 + 0.168730i −0.0295216 + 0.0170443i
\(99\) 3.80195i 0.382111i
\(100\) −6.58012 2.92966i −0.658012 0.292966i
\(101\) 13.7094 6.10384i 1.36414 0.607354i 0.411488 0.911415i \(-0.365009\pi\)
0.952653 + 0.304061i \(0.0983426\pi\)
\(102\) −0.00946667 0.0212625i −0.000937340 0.00210530i
\(103\) 0.558464 + 1.71877i 0.0550270 + 0.169356i 0.974793 0.223112i \(-0.0716215\pi\)
−0.919766 + 0.392468i \(0.871621\pi\)
\(104\) 0.223305 0.505620i 0.0218969 0.0495801i
\(105\) −0.699209 2.15194i −0.0682358 0.210008i
\(106\) 0.00304175 0.00273880i 0.000295441 0.000266016i
\(107\) 5.00742 2.22945i 0.484085 0.215529i −0.150158 0.988662i \(-0.547978\pi\)
0.634244 + 0.773133i \(0.281312\pi\)
\(108\) −2.26178 + 0.480756i −0.217640 + 0.0462607i
\(109\) −16.3021 5.29688i −1.56146 0.507349i −0.604263 0.796785i \(-0.706532\pi\)
−0.957197 + 0.289436i \(0.906532\pi\)
\(110\) −0.143543 0.0150870i −0.0136863 0.00143849i
\(111\) −0.209793 0.987000i −0.0199127 0.0936819i
\(112\) 15.0891 4.90274i 1.42578 0.463265i
\(113\) 3.88060 + 1.72776i 0.365056 + 0.162534i 0.581063 0.813858i \(-0.302637\pi\)
−0.216007 + 0.976392i \(0.569303\pi\)
\(114\) −0.0354785 0.00754119i −0.00332287 0.000706297i
\(115\) −9.57664 21.5095i −0.893026 2.00577i
\(116\) 5.36628 + 3.89883i 0.498246 + 0.361997i
\(117\) −1.14825 10.6190i −0.106156 0.981725i
\(118\) −0.189413 −0.0174368
\(119\) 10.7698 + 6.21793i 0.987263 + 0.569996i
\(120\) −0.00912116 0.0867820i −0.000832644 0.00792208i
\(121\) −9.14843 + 1.94456i −0.831676 + 0.176778i
\(122\) −0.149077 + 0.0484379i −0.0134968 + 0.00438536i
\(123\) −1.99356 + 1.15098i −0.179754 + 0.103781i
\(124\) −4.51034 10.1722i −0.405041 0.913495i
\(125\) 4.09465i 0.366237i
\(126\) −0.302097 + 0.335513i −0.0269130 + 0.0298899i
\(127\) −9.30307 10.3321i −0.825514 0.916827i 0.172154 0.985070i \(-0.444927\pi\)
−0.997669 + 0.0682435i \(0.978261\pi\)
\(128\) 1.21790 0.128006i 0.107648 0.0113143i
\(129\) 1.81243 0.159576
\(130\) 0.405478 0.00121401i 0.0355627 0.000106476i
\(131\) −5.19506 + 3.77443i −0.453894 + 0.329773i −0.791131 0.611646i \(-0.790508\pi\)
0.337237 + 0.941420i \(0.390508\pi\)
\(132\) 0.202448 + 0.454705i 0.0176208 + 0.0395770i
\(133\) 17.7045 7.88254i 1.53517 0.683503i
\(134\) −0.240508 + 0.267111i −0.0207767 + 0.0230749i
\(135\) −1.99483 2.74564i −0.171687 0.236307i
\(136\) 0.356402 + 0.320906i 0.0305612 + 0.0275174i
\(137\) −1.98135 9.32152i −0.169278 0.796391i −0.978067 0.208292i \(-0.933210\pi\)
0.808789 0.588099i \(-0.200124\pi\)
\(138\) 0.0351018 0.0483135i 0.00298807 0.00411272i
\(139\) −15.2697 + 3.24567i −1.29516 + 0.275294i −0.803401 0.595439i \(-0.796978\pi\)
−0.491756 + 0.870733i \(0.663645\pi\)
\(140\) 15.5930 + 17.3177i 1.31785 + 1.46362i
\(141\) 0.839384 + 1.88529i 0.0706889 + 0.158770i
\(142\) −0.0209423 + 0.0644538i −0.00175744 + 0.00540884i
\(143\) −4.39668 + 1.44313i −0.367669 + 0.120681i
\(144\) 9.56521 6.94954i 0.797101 0.579128i
\(145\) −2.02412 + 9.52272i −0.168094 + 0.790819i
\(146\) 0.0956824 0.0426006i 0.00791873 0.00352565i
\(147\) −0.178538 + 1.69867i −0.0147255 + 0.140104i
\(148\) 6.10836 + 8.40743i 0.502104 + 0.691087i
\(149\) 7.28183 4.20416i 0.596550 0.344419i −0.171133 0.985248i \(-0.554743\pi\)
0.767683 + 0.640829i \(0.221409\pi\)
\(150\) 0.0232213 0.0134068i 0.00189601 0.00109466i
\(151\) 14.1053 + 19.4142i 1.14787 + 1.57991i 0.748524 + 0.663108i \(0.230763\pi\)
0.399346 + 0.916800i \(0.369237\pi\)
\(152\) 0.731052 0.155390i 0.0592961 0.0126038i
\(153\) 9.06485 + 1.92679i 0.732850 + 0.155772i
\(154\) 0.169396 + 0.0978006i 0.0136503 + 0.00788100i
\(155\) 10.9466 12.1201i 0.879254 0.973512i
\(156\) −0.702772 1.20886i −0.0562668 0.0967866i
\(157\) 3.46234 + 10.6560i 0.276325 + 0.850441i 0.988866 + 0.148810i \(0.0475443\pi\)
−0.712541 + 0.701631i \(0.752456\pi\)
\(158\) 0.164389 0.148017i 0.0130781 0.0117756i
\(159\) −0.00216549 0.0206033i −0.000171735 0.00163395i
\(160\) 0.674098 + 1.16757i 0.0532921 + 0.0923046i
\(161\) 31.9083i 2.51472i
\(162\) −0.135084 + 0.303403i −0.0106132 + 0.0238376i
\(163\) −11.0564 1.16207i −0.866001 0.0910203i −0.338899 0.940823i \(-0.610055\pi\)
−0.527101 + 0.849802i \(0.676721\pi\)
\(164\) 13.9351 19.1801i 1.08815 1.49771i
\(165\) −0.488823 + 0.542893i −0.0380548 + 0.0422642i
\(166\) −0.00168590 0.0160403i −0.000130851 0.00124497i
\(167\) 3.63821 17.1164i 0.281533 1.32451i −0.579088 0.815265i \(-0.696591\pi\)
0.860622 0.509245i \(-0.170075\pi\)
\(168\) −0.0365427 + 0.112467i −0.00281933 + 0.00867701i
\(169\) 11.8442 5.35860i 0.911094 0.412200i
\(170\) −0.108718 + 0.334599i −0.00833827 + 0.0256625i
\(171\) 10.7326 9.66372i 0.820746 0.739003i
\(172\) −17.0524 + 7.59220i −1.30023 + 0.578900i
\(173\) −18.0601 + 3.83879i −1.37308 + 0.291857i −0.834636 0.550803i \(-0.814322\pi\)
−0.538446 + 0.842660i \(0.680988\pi\)
\(174\) −0.0234841 + 0.00763045i −0.00178033 + 0.000578463i
\(175\) −5.82721 + 13.0881i −0.440496 + 0.989370i
\(176\) −3.80668 3.42755i −0.286939 0.258361i
\(177\) −0.563508 + 0.775602i −0.0423558 + 0.0582978i
\(178\) 0.00137088 0.0130430i 0.000102752 0.000977616i
\(179\) 1.88888 + 17.9715i 0.141182 + 1.34325i 0.804069 + 0.594535i \(0.202664\pi\)
−0.662888 + 0.748719i \(0.730669\pi\)
\(180\) 15.0393 + 8.68296i 1.12097 + 0.647190i
\(181\) −2.61570 −0.194424 −0.0972119 0.995264i \(-0.530992\pi\)
−0.0972119 + 0.995264i \(0.530992\pi\)
\(182\) −0.502665 0.222000i −0.0372600 0.0164557i
\(183\) −0.245165 + 0.754539i −0.0181231 + 0.0557772i
\(184\) −0.255843 + 1.20364i −0.0188610 + 0.0887338i
\(185\) −7.62636 + 13.2092i −0.560701 + 0.971162i
\(186\) 0.0405048 + 0.00867435i 0.00296996 + 0.000636034i
\(187\) 4.01506i 0.293610i
\(188\) −15.7948 14.2217i −1.15195 1.03722i
\(189\) 0.956244 + 4.49877i 0.0695565 + 0.327238i
\(190\) 0.322265 + 0.443560i 0.0233796 + 0.0321793i
\(191\) 5.84577 + 10.1252i 0.422985 + 0.732631i 0.996230 0.0867529i \(-0.0276491\pi\)
−0.573245 + 0.819384i \(0.694316\pi\)
\(192\) 0.772787 1.33851i 0.0557711 0.0965983i
\(193\) −1.42252 + 0.149513i −0.102395 + 0.0107622i −0.155587 0.987822i \(-0.549727\pi\)
0.0531923 + 0.998584i \(0.483060\pi\)
\(194\) −0.0531465 0.0386132i −0.00381570 0.00277227i
\(195\) 1.20134 1.66395i 0.0860295 0.119158i
\(196\) −5.43589 16.7299i −0.388278 1.19500i
\(197\) −7.75870 + 0.815472i −0.552785 + 0.0581000i −0.376803 0.926293i \(-0.622977\pi\)
−0.175982 + 0.984393i \(0.556310\pi\)
\(198\) 0.142579 + 0.0303062i 0.0101327 + 0.00215376i
\(199\) 20.8046 4.42215i 1.47480 0.313478i 0.600798 0.799401i \(-0.294850\pi\)
0.874002 + 0.485923i \(0.161516\pi\)
\(200\) −0.324756 + 0.446988i −0.0229637 + 0.0316068i
\(201\) 0.378242 + 1.77949i 0.0266791 + 0.125515i
\(202\) −0.119623 0.562781i −0.00841663 0.0395971i
\(203\) 7.75494 10.6738i 0.544290 0.749151i
\(204\) 1.18673 0.252248i 0.0830880 0.0176609i
\(205\) 34.0360 + 7.23457i 2.37717 + 0.505284i
\(206\) 0.0689084 0.00724256i 0.00480108 0.000504613i
\(207\) 7.34795 + 22.6147i 0.510718 + 1.57183i
\(208\) 11.6674 + 8.42358i 0.808986 + 0.584070i
\(209\) −5.06205 3.67780i −0.350150 0.254399i
\(210\) −0.0862749 + 0.00906785i −0.00595353 + 0.000625741i
\(211\) 8.24288 14.2771i 0.567463 0.982875i −0.429353 0.903137i \(-0.641258\pi\)
0.996816 0.0797380i \(-0.0254084\pi\)
\(212\) 0.106681 + 0.184776i 0.00732686 + 0.0126905i
\(213\) 0.201620 + 0.277506i 0.0138148 + 0.0190144i
\(214\) −0.0436926 0.205558i −0.00298676 0.0140516i
\(215\) −20.3596 18.3319i −1.38851 1.25022i
\(216\) 0.177370i 0.0120685i
\(217\) −20.2330 + 8.97126i −1.37351 + 0.609009i
\(218\) −0.328589 + 0.569133i −0.0222549 + 0.0385466i
\(219\) 0.110218 0.518536i 0.00744786 0.0350394i
\(220\) 2.32496 7.15550i 0.156749 0.482424i
\(221\) 1.21262 + 11.2142i 0.0815694 + 0.754348i
\(222\) −0.0386864 −0.00259646
\(223\) −18.5326 10.6998i −1.24104 0.716513i −0.271732 0.962373i \(-0.587596\pi\)
−0.969305 + 0.245860i \(0.920930\pi\)
\(224\) −0.190981 1.81706i −0.0127605 0.121408i
\(225\) −1.11600 + 10.6180i −0.0743997 + 0.707866i
\(226\) 0.0957267 0.131756i 0.00636764 0.00876431i
\(227\) 3.04486 + 2.74160i 0.202094 + 0.181966i 0.763963 0.645260i \(-0.223251\pi\)
−0.561869 + 0.827226i \(0.689918\pi\)
\(228\) 0.769024 1.72726i 0.0509298 0.114390i
\(229\) −5.97198 + 1.94041i −0.394639 + 0.128226i −0.499613 0.866249i \(-0.666524\pi\)
0.104973 + 0.994475i \(0.466524\pi\)
\(230\) −0.882978 + 0.187683i −0.0582218 + 0.0123754i
\(231\) 0.904428 0.402677i 0.0595070 0.0264942i
\(232\) 0.378115 0.340456i 0.0248245 0.0223520i
\(233\) −5.59729 + 17.2267i −0.366691 + 1.12856i 0.582225 + 0.813028i \(0.302182\pi\)
−0.948915 + 0.315531i \(0.897818\pi\)
\(234\) −0.407382 0.0415847i −0.0266314 0.00271848i
\(235\) 9.63970 29.6680i 0.628825 1.93532i
\(236\) 2.05283 9.65781i 0.133628 0.628670i
\(237\) −0.117033 1.11349i −0.00760208 0.0723290i
\(238\) 0.319030 0.354319i 0.0206797 0.0229671i
\(239\) 4.33338 5.96438i 0.280303 0.385804i −0.645531 0.763734i \(-0.723364\pi\)
0.925834 + 0.377930i \(0.123364\pi\)
\(240\) 2.25936 + 0.237468i 0.145841 + 0.0153285i
\(241\) −5.86080 + 13.1636i −0.377527 + 0.847940i 0.620443 + 0.784252i \(0.286953\pi\)
−0.997970 + 0.0636880i \(0.979714\pi\)
\(242\) 0.358581i 0.0230505i
\(243\) 2.57599 + 4.46175i 0.165250 + 0.286222i
\(244\) −0.854089 8.12611i −0.0546774 0.520221i
\(245\) 19.1868 17.2759i 1.22580 1.10372i
\(246\) 0.0272726 + 0.0839366i 0.00173884 + 0.00535160i
\(247\) 15.2492 + 8.74338i 0.970286 + 0.556328i
\(248\) −0.835164 + 0.176184i −0.0530330 + 0.0111877i
\(249\) −0.0706969 0.0408169i −0.00448023 0.00258666i
\(250\) 0.153556 + 0.0326393i 0.00971173 + 0.00206429i
\(251\) 18.4775 3.92751i 1.16629 0.247902i 0.416221 0.909263i \(-0.363354\pi\)
0.750068 + 0.661361i \(0.230021\pi\)
\(252\) −13.8331 19.0396i −0.871404 1.19938i
\(253\) 8.92175 5.15097i 0.560905 0.323839i
\(254\) −0.461627 + 0.266521i −0.0289651 + 0.0167230i
\(255\) 1.04667 + 1.44061i 0.0655449 + 0.0902148i
\(256\) −1.66018 + 15.7955i −0.103761 + 0.987221i
\(257\) −14.6670 + 6.53015i −0.914900 + 0.407340i −0.809520 0.587093i \(-0.800272\pi\)
−0.105380 + 0.994432i \(0.533606\pi\)
\(258\) 0.0144473 0.0679691i 0.000899448 0.00423157i
\(259\) 16.7228 12.1498i 1.03910 0.754951i
\(260\) −4.33262 + 20.6877i −0.268698 + 1.28300i
\(261\) 3.03824 9.35075i 0.188063 0.578797i
\(262\) 0.100136 + 0.224910i 0.00618644 + 0.0138950i
\(263\) 10.6348 + 11.8111i 0.655767 + 0.728303i 0.975694 0.219139i \(-0.0703249\pi\)
−0.319926 + 0.947442i \(0.603658\pi\)
\(264\) 0.0373456 0.00793804i 0.00229846 0.000488553i
\(265\) −0.184067 + 0.253346i −0.0113071 + 0.0155629i
\(266\) −0.154482 0.726779i −0.00947188 0.0445617i
\(267\) −0.0493298 0.0444168i −0.00301894 0.00271826i
\(268\) −11.0129 15.1580i −0.672720 0.925920i
\(269\) 3.50706 3.89499i 0.213829 0.237482i −0.626683 0.779275i \(-0.715588\pi\)
0.840512 + 0.541793i \(0.182254\pi\)
\(270\) −0.118867 + 0.0529231i −0.00723403 + 0.00322080i
\(271\) 1.70113 + 3.82081i 0.103336 + 0.232098i 0.957813 0.287393i \(-0.0927885\pi\)
−0.854476 + 0.519490i \(0.826122\pi\)
\(272\) −10.1014 + 7.33907i −0.612485 + 0.444996i
\(273\) −2.40448 + 1.39784i −0.145526 + 0.0846014i
\(274\) −0.365366 −0.0220725
\(275\) 4.60022 0.483502i 0.277403 0.0291563i
\(276\) 2.08299 + 2.31340i 0.125381 + 0.139250i
\(277\) −7.93020 + 8.80738i −0.476480 + 0.529184i −0.932686 0.360690i \(-0.882541\pi\)
0.456206 + 0.889874i \(0.349208\pi\)
\(278\) 0.598509i 0.0358962i
\(279\) −12.2740 + 11.0176i −0.734827 + 0.659608i
\(280\) 1.54804 0.893763i 0.0925133 0.0534126i
\(281\) 18.6488 6.05938i 1.11250 0.361472i 0.305597 0.952161i \(-0.401144\pi\)
0.806900 + 0.590689i \(0.201144\pi\)
\(282\) 0.0773922 0.0164502i 0.00460864 0.000979596i
\(283\) −0.239024 2.27416i −0.0142085 0.135185i 0.985118 0.171879i \(-0.0549839\pi\)
−0.999327 + 0.0366944i \(0.988317\pi\)
\(284\) −3.05941 1.76635i −0.181543 0.104814i
\(285\) 2.77503 0.164379
\(286\) 0.0190730 + 0.176386i 0.00112781 + 0.0104299i
\(287\) −38.1500 27.7176i −2.25192 1.63612i
\(288\) −0.553796 1.24385i −0.0326327 0.0732943i
\(289\) 7.05556 + 1.49971i 0.415033 + 0.0882180i
\(290\) 0.340982 + 0.151815i 0.0200232 + 0.00891489i
\(291\) −0.316225 + 0.102748i −0.0185374 + 0.00602317i
\(292\) 1.13513 + 5.34037i 0.0664286 + 0.312522i
\(293\) 12.7301 + 1.33799i 0.743703 + 0.0781663i 0.468798 0.883305i \(-0.344687\pi\)
0.274904 + 0.961472i \(0.411354\pi\)
\(294\) 0.0622798 + 0.0202359i 0.00363223 + 0.00118018i
\(295\) 14.1749 3.01297i 0.825294 0.175422i
\(296\) 0.728234 0.324231i 0.0423278 0.0188455i
\(297\) 1.10352 0.993612i 0.0640326 0.0576552i
\(298\) −0.0996179 0.306592i −0.00577071 0.0177604i
\(299\) −23.3631 + 17.0814i −1.35112 + 0.987841i
\(300\) 0.431920 + 1.32931i 0.0249369 + 0.0767479i
\(301\) 15.1012 + 33.9179i 0.870420 + 1.95499i
\(302\) 0.840501 0.374215i 0.0483654 0.0215337i
\(303\) −2.66034 1.18446i −0.152833 0.0680455i
\(304\) 19.4581i 1.11600i
\(305\) 10.3858 5.99625i 0.594690 0.343344i
\(306\) 0.144516 0.324587i 0.00826141 0.0185554i
\(307\) 2.35937 + 0.766605i 0.134656 + 0.0437524i 0.375570 0.926794i \(-0.377447\pi\)
−0.240914 + 0.970547i \(0.577447\pi\)
\(308\) −6.82257 + 7.57723i −0.388752 + 0.431753i
\(309\) 0.175348 0.303711i 0.00997519 0.0172775i
\(310\) −0.367266 0.507128i −0.0208593 0.0288029i
\(311\) 7.22480 0.409681 0.204840 0.978795i \(-0.434332\pi\)
0.204840 + 0.978795i \(0.434332\pi\)
\(312\) −0.101910 + 0.0334502i −0.00576952 + 0.00189375i
\(313\) 5.15749 15.8731i 0.291519 0.897202i −0.692850 0.721082i \(-0.743645\pi\)
0.984369 0.176120i \(-0.0563548\pi\)
\(314\) 0.427216 0.0449022i 0.0241092 0.00253398i
\(315\) 17.2708 29.9139i 0.973099 1.68546i
\(316\) 5.76547 + 9.98610i 0.324333 + 0.561762i
\(317\) 12.3762 + 17.0343i 0.695115 + 0.956743i 0.999991 + 0.00435134i \(0.00138508\pi\)
−0.304876 + 0.952392i \(0.598615\pi\)
\(318\) −0.000789919 0 8.30238e-5i −4.42964e−5 0 4.65574e-6i
\(319\) −4.23633 0.445257i −0.237189 0.0249296i
\(320\) −22.2193 + 7.21948i −1.24210 + 0.403581i
\(321\) −0.971698 0.432628i −0.0542349 0.0241469i
\(322\) 1.19661 + 0.254347i 0.0666845 + 0.0141742i
\(323\) −11.3342 + 10.2054i −0.630653 + 0.567843i
\(324\) −14.0059 10.1759i −0.778108 0.565328i
\(325\) −12.7025 + 2.73978i −0.704610 + 0.151976i
\(326\) −0.131712 + 0.405368i −0.00729485 + 0.0224512i
\(327\) 1.35291 + 3.03869i 0.0748161 + 0.168040i
\(328\) −1.21685 1.35145i −0.0671895 0.0746215i
\(329\) −28.2876 + 31.4165i −1.55954 + 1.73205i
\(330\) 0.0164628 + 0.0226592i 0.000906250 + 0.00124735i
\(331\) 20.2960 + 18.2746i 1.11557 + 1.00446i 0.999938 + 0.0111712i \(0.00355599\pi\)
0.115632 + 0.993292i \(0.463111\pi\)
\(332\) 0.836136 + 0.0878815i 0.0458889 + 0.00482312i
\(333\) 9.05418 12.4620i 0.496166 0.682914i
\(334\) −0.612893 0.272877i −0.0335360 0.0149312i
\(335\) 13.7497 23.8152i 0.751229 1.30117i
\(336\) −2.66627 1.53937i −0.145457 0.0839798i
\(337\) −16.1238 + 11.7146i −0.878320 + 0.638137i −0.932806 0.360378i \(-0.882648\pi\)
0.0544868 + 0.998514i \(0.482648\pi\)
\(338\) −0.106543 0.486891i −0.00579518 0.0264834i
\(339\) −0.254723 0.783958i −0.0138347 0.0425788i
\(340\) −15.8823 9.16966i −0.861340 0.497295i
\(341\) 5.77466 + 4.20905i 0.312715 + 0.227933i
\(342\) −0.276853 0.479523i −0.0149705 0.0259296i
\(343\) −6.81236 + 2.21347i −0.367833 + 0.119516i
\(344\) 0.297693 + 1.40053i 0.0160505 + 0.0755118i
\(345\) −1.85836 + 4.17396i −0.100051 + 0.224718i
\(346\) 0.707881i 0.0380559i
\(347\) −16.0598 27.8163i −0.862133 1.49326i −0.869866 0.493287i \(-0.835795\pi\)
0.00773371 0.999970i \(-0.497538\pi\)
\(348\) −0.134545 1.28011i −0.00721237 0.0686211i
\(349\) −8.45775 18.9964i −0.452733 1.01685i −0.985357 0.170503i \(-0.945461\pi\)
0.532624 0.846352i \(-0.321206\pi\)
\(350\) 0.444376 + 0.322858i 0.0237529 + 0.0172575i
\(351\) −2.78208 + 3.10847i −0.148496 + 0.165918i
\(352\) −0.477232 + 0.346729i −0.0254366 + 0.0184807i
\(353\) 4.93845 23.2336i 0.262847 1.23660i −0.626520 0.779405i \(-0.715521\pi\)
0.889367 0.457194i \(-0.151145\pi\)
\(354\) 0.0245945 + 0.0273149i 0.00130718 + 0.00145177i
\(355\) 0.541980 5.15660i 0.0287653 0.273684i
\(356\) 0.650183 + 0.211257i 0.0344596 + 0.0111966i
\(357\) −0.501733 2.36047i −0.0265545 0.124929i
\(358\) 0.689017 + 0.0724186i 0.0364157 + 0.00382744i
\(359\) −6.82933 2.21899i −0.360438 0.117114i 0.123199 0.992382i \(-0.460685\pi\)
−0.483637 + 0.875268i \(0.660685\pi\)
\(360\) 0.891341 0.989935i 0.0469778 0.0521741i
\(361\) 0.498410 + 4.74205i 0.0262321 + 0.249582i
\(362\) −0.0208503 + 0.0980931i −0.00109587 + 0.00515566i
\(363\) 1.46831 + 1.06679i 0.0770663 + 0.0559919i
\(364\) 16.7672 23.2240i 0.878840 1.21727i
\(365\) −6.48285 + 4.71007i −0.339328 + 0.246536i
\(366\) 0.0263422 + 0.0152087i 0.00137693 + 0.000794969i
\(367\) 4.63125 8.02156i 0.241749 0.418722i −0.719463 0.694530i \(-0.755612\pi\)
0.961213 + 0.275808i \(0.0889455\pi\)
\(368\) −29.2671 13.0306i −1.52565 0.679265i
\(369\) −33.4213 10.8592i −1.73984 0.565310i
\(370\) 0.434576 + 0.391294i 0.0225925 + 0.0203424i
\(371\) 0.367528 0.212192i 0.0190811 0.0110165i
\(372\) −0.881276 + 1.97126i −0.0456920 + 0.102205i
\(373\) 2.03192 + 3.51938i 0.105209 + 0.182227i 0.913823 0.406112i \(-0.133116\pi\)
−0.808615 + 0.588338i \(0.799782\pi\)
\(374\) −0.150571 0.0320049i −0.00778585 0.00165493i
\(375\) 0.590484 0.531674i 0.0304925 0.0274555i
\(376\) −1.31896 + 0.958283i −0.0680204 + 0.0494197i
\(377\) 11.9667 0.0358287i 0.616316 0.00184527i
\(378\) 0.176334 0.00906962
\(379\) −16.9950 + 1.78625i −0.872976 + 0.0917535i −0.530411 0.847741i \(-0.677962\pi\)
−0.342565 + 0.939494i \(0.611296\pi\)
\(380\) −26.1090 + 11.6245i −1.33936 + 0.596324i
\(381\) −0.282012 + 2.68317i −0.0144479 + 0.137463i
\(382\) 0.426308 0.138516i 0.0218118 0.00708708i
\(383\) 5.77520 12.9713i 0.295099 0.662803i −0.703766 0.710432i \(-0.748500\pi\)
0.998865 + 0.0476285i \(0.0151664\pi\)
\(384\) −0.176599 0.159010i −0.00901203 0.00811447i
\(385\) −14.2326 4.62445i −0.725361 0.235684i
\(386\) −0.00573223 + 0.0545385i −0.000291763 + 0.00277594i
\(387\) 18.5136 + 20.5614i 0.941098 + 1.04519i
\(388\) 2.54481 2.29136i 0.129193 0.116326i
\(389\) −3.44516 2.50306i −0.174677 0.126910i 0.497012 0.867744i \(-0.334431\pi\)
−0.671688 + 0.740834i \(0.734431\pi\)
\(390\) −0.0528247 0.0583157i −0.00267488 0.00295293i
\(391\) −7.75981 23.8822i −0.392430 1.20778i
\(392\) −1.34195 + 0.141045i −0.0677789 + 0.00712385i
\(393\) 1.21886 + 0.259077i 0.0614835 + 0.0130687i
\(394\) −0.0312647 + 0.297464i −0.00157509 + 0.0149860i
\(395\) −9.94775 + 13.6919i −0.500526 + 0.688914i
\(396\) −3.09051 + 6.94141i −0.155304 + 0.348819i
\(397\) 17.2100 9.93617i 0.863743 0.498682i −0.00152086 0.999999i \(-0.500484\pi\)
0.865264 + 0.501317i \(0.167151\pi\)
\(398\) 0.815456i 0.0408751i
\(399\) −3.43559 1.52962i −0.171994 0.0765768i
\(400\) −9.62510 10.6898i −0.481255 0.534488i
\(401\) −3.60095 + 16.9411i −0.179823 + 0.846000i 0.792043 + 0.610465i \(0.209018\pi\)
−0.971866 + 0.235535i \(0.924316\pi\)
\(402\) 0.0697486 0.00347875
\(403\) −17.4000 10.0120i −0.866757 0.498732i
\(404\) 29.9916 1.49214
\(405\) 5.28293 24.8542i 0.262511 1.23502i
\(406\) −0.338467 0.375905i −0.0167978 0.0186559i
\(407\) −6.09672 2.71444i −0.302203 0.134550i
\(408\) 0.0930645i 0.00460738i
\(409\) −27.1460 + 15.6727i −1.34228 + 0.774967i −0.987142 0.159846i \(-0.948900\pi\)
−0.355141 + 0.934813i \(0.615567\pi\)
\(410\) 0.542616 1.21873i 0.0267979 0.0601890i
\(411\) −1.08697 + 1.49609i −0.0536164 + 0.0737967i
\(412\) −0.377535 + 3.59201i −0.0185998 + 0.176966i
\(413\) −19.2098 4.08317i −0.945253 0.200920i
\(414\) 0.906657 0.0952935i 0.0445598 0.00468342i
\(415\) 0.381317 + 1.17357i 0.0187181 + 0.0576084i
\(416\) 1.22821 1.11256i 0.0602178 0.0545477i
\(417\) 2.45076 + 1.78058i 0.120014 + 0.0871954i
\(418\) −0.178274 + 0.160519i −0.00871966 + 0.00785122i
\(419\) −6.79598 7.54770i −0.332006 0.368729i 0.553910 0.832577i \(-0.313135\pi\)
−0.885915 + 0.463847i \(0.846469\pi\)
\(420\) 0.472683 4.49728i 0.0230646 0.219445i
\(421\) 37.3401 + 12.1325i 1.81985 + 0.591304i 0.999820 + 0.0189786i \(0.00604144\pi\)
0.820027 + 0.572325i \(0.193959\pi\)
\(422\) −0.469708 0.422927i −0.0228650 0.0205877i
\(423\) −12.8138 + 28.7803i −0.623029 + 1.39935i
\(424\) 0.0155653 0.00505747i 0.000755917 0.000245612i
\(425\) 1.17855 11.2132i 0.0571681 0.543918i
\(426\) 0.0120141 0.00534901i 0.000582084 0.000259160i
\(427\) −16.1632 + 1.69882i −0.782192 + 0.0822117i
\(428\) 10.9545 0.529508
\(429\) 0.779003 + 0.446653i 0.0376106 + 0.0215646i
\(430\) −0.849765 + 0.617390i −0.0409793 + 0.0297732i
\(431\) 11.0813 9.97763i 0.533766 0.480605i −0.357609 0.933871i \(-0.616408\pi\)
0.891375 + 0.453266i \(0.149741\pi\)
\(432\) −4.51690 0.960097i −0.217320 0.0461927i
\(433\) 10.8104 + 18.7242i 0.519515 + 0.899826i 0.999743 + 0.0226820i \(0.00722053\pi\)
−0.480228 + 0.877144i \(0.659446\pi\)
\(434\) 0.175155 + 0.830283i 0.00840770 + 0.0398549i
\(435\) 1.63608 0.944592i 0.0784441 0.0452897i
\(436\) −25.4579 22.9224i −1.21921 1.09778i
\(437\) −37.2179 12.0928i −1.78038 0.578479i
\(438\) −0.0185673 0.00826672i −0.000887182 0.000394999i
\(439\) 1.09471 1.89609i 0.0522477 0.0904956i −0.838719 0.544565i \(-0.816695\pi\)
0.890966 + 0.454069i \(0.150028\pi\)
\(440\) −0.499804 0.288562i −0.0238272 0.0137566i
\(441\) −21.0946 + 15.3261i −1.00450 + 0.729814i
\(442\) 0.430216 + 0.0439156i 0.0204633 + 0.00208885i
\(443\) 30.6078 + 22.2379i 1.45422 + 1.05655i 0.984822 + 0.173567i \(0.0555292\pi\)
0.469399 + 0.882986i \(0.344471\pi\)
\(444\) 0.419278 1.97255i 0.0198981 0.0936131i
\(445\) 0.104883 + 0.997895i 0.00497193 + 0.0473047i
\(446\) −0.548988 + 0.609713i −0.0259953 + 0.0288707i
\(447\) −1.55179 0.504208i −0.0733973 0.0238482i
\(448\) 31.4877 + 3.30949i 1.48765 + 0.156359i
\(449\) 5.55651 + 26.1413i 0.262228 + 1.23368i 0.890244 + 0.455484i \(0.150534\pi\)
−0.628016 + 0.778200i \(0.716133\pi\)
\(450\) 0.389296 + 0.126490i 0.0183516 + 0.00596279i
\(451\) −1.59143 + 15.1414i −0.0749375 + 0.712983i
\(452\) 5.68055 + 6.30889i 0.267191 + 0.296745i
\(453\) 0.968187 4.55496i 0.0454894 0.214011i
\(454\) 0.127086 0.0923331i 0.00596442 0.00433341i
\(455\) 41.1488 + 8.61776i 1.92909 + 0.404007i
\(456\) −0.117333 0.0852472i −0.00549461 0.00399207i
\(457\) 11.4806 + 25.7858i 0.537040 + 1.20621i 0.954690 + 0.297603i \(0.0961871\pi\)
−0.417650 + 0.908608i \(0.637146\pi\)
\(458\) 0.0251647 + 0.239426i 0.00117587 + 0.0111876i
\(459\) −1.80978 3.13463i −0.0844732 0.146312i
\(460\) 47.0555i 2.19398i
\(461\) 8.24273 18.5135i 0.383902 0.862259i −0.613464 0.789723i \(-0.710224\pi\)
0.997366 0.0725356i \(-0.0231091\pi\)
\(462\) −0.00789166 0.0371273i −0.000367153 0.00172732i
\(463\) −5.52711 + 1.79587i −0.256867 + 0.0834611i −0.434620 0.900614i \(-0.643117\pi\)
0.177753 + 0.984075i \(0.443117\pi\)
\(464\) 6.62333 + 11.4719i 0.307480 + 0.532571i
\(465\) −3.16920 0.00484872i −0.146968 0.000224854i
\(466\) 0.601411 + 0.347225i 0.0278598 + 0.0160849i
\(467\) 4.71173 + 14.5012i 0.218033 + 0.671037i 0.998924 + 0.0463698i \(0.0147653\pi\)
−0.780891 + 0.624667i \(0.785235\pi\)
\(468\) 6.53549 20.3210i 0.302103 0.939337i
\(469\) −30.1499 + 21.9052i −1.39219 + 1.01149i
\(470\) −1.03576 0.597994i −0.0477758 0.0275834i
\(471\) 1.08711 1.88294i 0.0500916 0.0867612i
\(472\) −0.691894 0.308051i −0.0318470 0.0141792i
\(473\) 7.04585 9.69779i 0.323969 0.445905i
\(474\) −0.0426906 0.00448696i −0.00196084 0.000206093i
\(475\) −13.0576 11.7571i −0.599125 0.539454i
\(476\) 14.6085 + 20.1068i 0.669579 + 0.921596i
\(477\) 0.211617 0.235025i 0.00968929 0.0107610i
\(478\) −0.189132 0.210052i −0.00865068 0.00960755i
\(479\) −7.19880 16.1688i −0.328922 0.738770i 0.671075 0.741389i \(-0.265833\pi\)
−0.999997 + 0.00261960i \(0.999166\pi\)
\(480\) 0.0808449 0.248815i 0.00369005 0.0113568i
\(481\) 17.8482 + 5.74020i 0.813806 + 0.261730i
\(482\) 0.446937 + 0.324719i 0.0203574 + 0.0147905i
\(483\) 4.60145 4.14316i 0.209373 0.188520i
\(484\) −18.2834 3.88626i −0.831065 0.176648i
\(485\) 4.59149 + 2.04426i 0.208489 + 0.0928253i
\(486\) 0.187857 0.0610383i 0.00852135 0.00276875i
\(487\) 6.11521 + 0.642734i 0.277106 + 0.0291251i 0.242062 0.970261i \(-0.422176\pi\)
0.0350441 + 0.999386i \(0.488843\pi\)
\(488\) −0.623330 0.0655146i −0.0282168 0.00296571i
\(489\) 1.26804 + 1.74531i 0.0573429 + 0.0789257i
\(490\) −0.494931 0.857246i −0.0223587 0.0387264i
\(491\) −12.0128 + 20.8067i −0.542129 + 0.938995i 0.456652 + 0.889645i \(0.349048\pi\)
−0.998782 + 0.0493500i \(0.984285\pi\)
\(492\) −4.57535 + 0.480889i −0.206273 + 0.0216801i
\(493\) −3.20854 + 9.87488i −0.144505 + 0.444742i
\(494\) 0.449446 0.502176i 0.0202215 0.0225939i
\(495\) −11.1521 −0.501252
\(496\) 0.0339984 22.2219i 0.00152658 0.997795i
\(497\) −3.51335 + 6.08531i −0.157595 + 0.272963i
\(498\) −0.00209424 + 0.00232589i −9.38450e−5 + 0.000104225i
\(499\) −23.8946 7.76383i −1.06967 0.347557i −0.279311 0.960201i \(-0.590106\pi\)
−0.790359 + 0.612644i \(0.790106\pi\)
\(500\) −3.32844 + 7.47580i −0.148852 + 0.334328i
\(501\) −2.94075 + 1.69784i −0.131383 + 0.0758539i
\(502\) 0.724242i 0.0323245i
\(503\) −10.0886 4.49171i −0.449826 0.200276i 0.169304 0.985564i \(-0.445848\pi\)
−0.619130 + 0.785288i \(0.712515\pi\)
\(504\) −1.64917 + 0.734259i −0.0734600 + 0.0327065i
\(505\) 17.9042 + 40.2135i 0.796726 + 1.78948i
\(506\) −0.122053 0.375639i −0.00542590 0.0166992i
\(507\) −2.31068 1.01225i −0.102621 0.0449554i
\(508\) −8.58635 26.4261i −0.380958 1.17247i
\(509\) 1.94532 1.75158i 0.0862249 0.0776372i −0.624891 0.780712i \(-0.714857\pi\)
0.711116 + 0.703075i \(0.248190\pi\)
\(510\) 0.0623686 0.0277683i 0.00276173 0.00122960i
\(511\) 10.6222 2.25783i 0.469900 0.0998804i
\(512\) 2.90847 + 0.945018i 0.128537 + 0.0417643i
\(513\) −5.60980 0.589613i −0.247679 0.0260321i
\(514\) 0.127978 + 0.602087i 0.00564485 + 0.0265569i
\(515\) −5.04163 + 1.63812i −0.222161 + 0.0721844i
\(516\) 3.30904 + 1.47328i 0.145672 + 0.0648576i
\(517\) 13.3507 + 2.83779i 0.587164 + 0.124806i
\(518\) −0.322336 0.723978i −0.0141626 0.0318098i
\(519\) 2.89861 + 2.10597i 0.127235 + 0.0924417i
\(520\) 1.48312 + 0.655013i 0.0650391 + 0.0287242i
\(521\) 28.9487 1.26826 0.634132 0.773225i \(-0.281358\pi\)
0.634132 + 0.773225i \(0.281358\pi\)
\(522\) −0.326450 0.188476i −0.0142883 0.00824936i
\(523\) 4.61219 + 43.8820i 0.201677 + 1.91883i 0.362753 + 0.931885i \(0.381837\pi\)
−0.161077 + 0.986942i \(0.551497\pi\)
\(524\) −12.5530 + 2.66822i −0.548380 + 0.116562i
\(525\) 2.64406 0.859108i 0.115396 0.0374945i
\(526\) 0.527707 0.304672i 0.0230091 0.0132843i
\(527\) 12.9620 11.6352i 0.564634 0.506837i
\(528\) 0.994009i 0.0432587i
\(529\) 27.7229 30.7894i 1.20534 1.33867i
\(530\) 0.00803365 + 0.00892227i 0.000348959 + 0.000387559i
\(531\) −14.5550 + 1.52980i −0.631635 + 0.0663875i
\(532\) 38.7314 1.67922
\(533\) −0.128058 42.7712i −0.00554682 1.85263i
\(534\) −0.00205892 + 0.00149589i −8.90981e−5 + 6.47336e-5i
\(535\) 6.53956 + 14.6881i 0.282730 + 0.635022i
\(536\) −1.31295 + 0.584563i −0.0567108 + 0.0252493i
\(537\) 2.34638 2.60592i 0.101254 0.112454i
\(538\) −0.118113 0.162568i −0.00509220 0.00700881i
\(539\) 8.39503 + 7.55892i 0.361599 + 0.325586i
\(540\) −1.41019 6.63440i −0.0606847 0.285499i
\(541\) 17.8826 24.6133i 0.768833 1.05821i −0.227595 0.973756i \(-0.573086\pi\)
0.996428 0.0844518i \(-0.0269139\pi\)
\(542\) 0.156846 0.0333388i 0.00673713 0.00143202i
\(543\) 0.339639 + 0.377207i 0.0145753 + 0.0161875i
\(544\) 0.584837 + 1.31357i 0.0250747 + 0.0563187i
\(545\) 15.5372 47.8185i 0.665539 2.04832i
\(546\) 0.0332548 + 0.101314i 0.00142317 + 0.00433586i
\(547\) 9.41751 6.84222i 0.402664 0.292552i −0.367961 0.929841i \(-0.619944\pi\)
0.770625 + 0.637289i \(0.219944\pi\)
\(548\) 3.95979 18.6293i 0.169154 0.795806i
\(549\) −11.0643 + 4.92614i −0.472212 + 0.210242i
\(550\) 0.0185372 0.176370i 0.000790428 0.00752042i
\(551\) 9.51089 + 13.0906i 0.405178 + 0.557679i
\(552\) 0.206796 0.119394i 0.00880182 0.00508173i
\(553\) 19.8628 11.4678i 0.844651 0.487660i
\(554\) 0.267078 + 0.367601i 0.0113470 + 0.0156179i
\(555\) 2.89514 0.615380i 0.122892 0.0261214i
\(556\) −30.5169 6.48657i −1.29420 0.275092i
\(557\) −19.9917 11.5422i −0.847077 0.489060i 0.0125865 0.999921i \(-0.495994\pi\)
−0.859664 + 0.510861i \(0.829327\pi\)
\(558\) 0.315340 + 0.548119i 0.0133494 + 0.0232037i
\(559\) −16.7504 + 29.2142i −0.708467 + 1.23563i
\(560\) 14.3811 + 44.2603i 0.607711 + 1.87034i
\(561\) −0.579006 + 0.521339i −0.0244457 + 0.0220110i
\(562\) −0.0785825 0.747662i −0.00331480 0.0315382i
\(563\) 18.4194 + 31.9033i 0.776285 + 1.34457i 0.934069 + 0.357092i \(0.116232\pi\)
−0.157784 + 0.987474i \(0.550435\pi\)
\(564\) 4.12437i 0.173667i
\(565\) −5.06797 + 11.3828i −0.213211 + 0.478880i
\(566\) −0.0871899 0.00916403i −0.00366487 0.000385193i
\(567\) −20.2403 + 27.8584i −0.850014 + 1.16994i
\(568\) −0.181323 + 0.201380i −0.00760816 + 0.00844971i
\(569\) −3.55637 33.8366i −0.149091 1.41851i −0.771707 0.635978i \(-0.780597\pi\)
0.622616 0.782527i \(-0.286070\pi\)
\(570\) 0.0221203 0.104068i 0.000926519 0.00435893i
\(571\) 6.14501 18.9124i 0.257161 0.791459i −0.736236 0.676725i \(-0.763399\pi\)
0.993396 0.114734i \(-0.0366015\pi\)
\(572\) −9.20031 0.939150i −0.384684 0.0392678i
\(573\) 0.701086 2.15772i 0.0292883 0.0901401i
\(574\) −1.34356 + 1.20974i −0.0560789 + 0.0504937i
\(575\) 26.4284 11.7667i 1.10214 0.490705i
\(576\) 23.0787 4.90553i 0.961613 0.204397i
\(577\) 20.3124 6.59990i 0.845616 0.274757i 0.146007 0.989284i \(-0.453358\pi\)
0.699609 + 0.714526i \(0.253358\pi\)
\(578\) 0.112483 0.252640i 0.00467866 0.0105084i
\(579\) 0.206269 + 0.185726i 0.00857227 + 0.00771850i
\(580\) −11.4363 + 15.7407i −0.474867 + 0.653598i
\(581\) 0.174800 1.66311i 0.00725193 0.0689975i
\(582\) 0.00133251 + 0.0126780i 5.52342e−5 + 0.000525518i
\(583\) −0.118661 0.0685087i −0.00491442 0.00283734i
\(584\) 0.418796 0.0173299
\(585\) 31.1483 3.36814i 1.28782 0.139255i
\(586\) 0.151651 0.466735i 0.00626466 0.0192807i
\(587\) 1.65601 7.79090i 0.0683507 0.321565i −0.930668 0.365866i \(-0.880773\pi\)
0.999018 + 0.0443013i \(0.0141062\pi\)
\(588\) −1.70677 + 2.95622i −0.0703862 + 0.121912i
\(589\) −2.79605 26.9999i −0.115209 1.11251i
\(590\) 0.555598i 0.0228736i
\(591\) 1.12503 + 1.01299i 0.0462777 + 0.0416687i
\(592\) 4.31495 + 20.3002i 0.177343 + 0.834335i
\(593\) 17.3383 + 23.8641i 0.711998 + 0.979981i 0.999752 + 0.0222768i \(0.00709151\pi\)
−0.287754 + 0.957704i \(0.592908\pi\)
\(594\) −0.0284657 0.0493040i −0.00116796 0.00202297i
\(595\) −18.2389 + 31.5906i −0.747720 + 1.29509i
\(596\) 16.7122 1.75653i 0.684560 0.0719502i
\(597\) −3.33911 2.42600i −0.136661 0.0992897i
\(598\) 0.454346 + 1.01231i 0.0185796 + 0.0413965i
\(599\) 7.08382 + 21.8017i 0.289437 + 0.890795i 0.985034 + 0.172363i \(0.0551401\pi\)
−0.695597 + 0.718433i \(0.744860\pi\)
\(600\) 0.106628 0.0112070i 0.00435306 0.000457525i
\(601\) −3.38543 0.719596i −0.138095 0.0293529i 0.138346 0.990384i \(-0.455822\pi\)
−0.276440 + 0.961031i \(0.589155\pi\)
\(602\) 1.39235 0.295953i 0.0567480 0.0120622i
\(603\) −16.3240 + 22.4681i −0.664765 + 0.914971i
\(604\) 9.97131 + 46.9113i 0.405727 + 1.90879i
\(605\) −5.70392 26.8348i −0.231897 1.09099i
\(606\) −0.0656253 + 0.0903255i −0.00266585 + 0.00366922i
\(607\) −9.35280 + 1.98800i −0.379618 + 0.0806904i −0.393769 0.919210i \(-0.628829\pi\)
0.0141505 + 0.999900i \(0.495496\pi\)
\(608\) 2.19181 + 0.465884i 0.0888897 + 0.0188941i
\(609\) −2.54620 + 0.267616i −0.103177 + 0.0108443i
\(610\) −0.142081 0.437282i −0.00575271 0.0177050i
\(611\) −38.1461 3.89388i −1.54323 0.157530i
\(612\) 14.9839 + 10.8864i 0.605688 + 0.440058i
\(613\) −7.26316 + 0.763389i −0.293356 + 0.0308330i −0.250063 0.968229i \(-0.580451\pi\)
−0.0432928 + 0.999062i \(0.513785\pi\)
\(614\) 0.0475559 0.0823693i 0.00191920 0.00332415i
\(615\) −3.37615 5.84766i −0.136139 0.235800i
\(616\) 0.459717 + 0.632746i 0.0185225 + 0.0254941i
\(617\) −1.53165 7.20583i −0.0616618 0.290096i 0.936502 0.350661i \(-0.114043\pi\)
−0.998164 + 0.0605651i \(0.980710\pi\)
\(618\) −0.00999192 0.00899677i −0.000401934 0.000361903i
\(619\) 1.49609i 0.0601329i 0.999548 + 0.0300664i \(0.00957189\pi\)
−0.999548 + 0.0300664i \(0.990428\pi\)
\(620\) 29.8379 13.2300i 1.19832 0.531331i
\(621\) 4.64358 8.04291i 0.186340 0.322751i
\(622\) 0.0575904 0.270941i 0.00230916 0.0108638i
\(623\) 0.420200 1.29324i 0.0168350 0.0518126i
\(624\) −0.300208 2.77630i −0.0120179 0.111141i
\(625\) −30.0310 −1.20124
\(626\) −0.554156 0.319942i −0.0221485 0.0127875i
\(627\) 0.126917 + 1.20754i 0.00506859 + 0.0482245i
\(628\) −2.34063 + 22.2696i −0.0934013 + 0.888654i
\(629\) −9.56169 + 13.1605i −0.381249 + 0.524745i
\(630\) −0.984150 0.886132i −0.0392095 0.0353044i
\(631\) 7.40702 16.6364i 0.294869 0.662286i −0.703982 0.710218i \(-0.748596\pi\)
0.998851 + 0.0479320i \(0.0152631\pi\)
\(632\) 0.841214 0.273327i 0.0334617 0.0108724i
\(633\) −3.12918 + 0.665128i −0.124374 + 0.0264365i
\(634\) 0.737468 0.328342i 0.0292886 0.0130401i
\(635\) 30.3069 27.2884i 1.20269 1.08291i
\(636\) 0.0127943 0.0393767i 0.000507326 0.00156139i
\(637\) −25.7305 18.5769i −1.01948 0.736042i
\(638\) −0.0504665 + 0.155320i −0.00199799 + 0.00614918i
\(639\) −1.08871 + 5.12197i −0.0430686 + 0.202622i
\(640\) 0.375477 + 3.57243i 0.0148420 + 0.141213i
\(641\) −5.93886 + 6.59577i −0.234571 + 0.260517i −0.848925 0.528513i \(-0.822750\pi\)
0.614354 + 0.789030i \(0.289416\pi\)
\(642\) −0.0239699 + 0.0329917i −0.000946015 + 0.00130208i
\(643\) −43.1630 4.53662i −1.70218 0.178907i −0.797015 0.603960i \(-0.793589\pi\)
−0.905168 + 0.425053i \(0.860255\pi\)
\(644\) −25.9374 + 58.2564i −1.02208 + 2.29563i
\(645\) 5.31635i 0.209331i
\(646\) 0.292371 + 0.506401i 0.0115032 + 0.0199241i
\(647\) −3.38150 32.1728i −0.132940 1.26484i −0.834010 0.551750i \(-0.813960\pi\)
0.701069 0.713093i \(-0.252706\pi\)
\(648\) −0.986877 + 0.888588i −0.0387682 + 0.0349070i
\(649\) 1.95937 + 6.03033i 0.0769121 + 0.236711i
\(650\) 0.00149164 + 0.498205i 5.85069e−5 + 0.0195412i
\(651\) 3.92091 + 1.75290i 0.153673 + 0.0687014i
\(652\) −19.2415 11.1091i −0.753555 0.435065i
\(653\) 37.1632 + 7.89929i 1.45431 + 0.309123i 0.866216 0.499670i \(-0.166545\pi\)
0.588094 + 0.808793i \(0.299879\pi\)
\(654\) 0.124740 0.0265143i 0.00487771 0.00103679i
\(655\) −11.0714 15.2385i −0.432596 0.595417i
\(656\) 41.0028 23.6730i 1.60089 0.924275i
\(657\) 7.00846 4.04634i 0.273426 0.157863i
\(658\) 0.952683 + 1.31126i 0.0371395 + 0.0511181i
\(659\) −1.10631 + 10.5258i −0.0430957 + 0.410028i 0.951614 + 0.307297i \(0.0994247\pi\)
−0.994709 + 0.102731i \(0.967242\pi\)
\(660\) −1.33377 + 0.593834i −0.0519170 + 0.0231149i
\(661\) 3.40138 16.0022i 0.132298 0.622414i −0.861171 0.508315i \(-0.830269\pi\)
0.993469 0.114099i \(-0.0363981\pi\)
\(662\) 0.847111 0.615462i 0.0329239 0.0239206i
\(663\) 1.45973 1.63099i 0.0566912 0.0633423i
\(664\) 0.0199288 0.0613344i 0.000773386 0.00238024i
\(665\) 23.1216 + 51.9320i 0.896617 + 2.01384i
\(666\) −0.395173 0.438884i −0.0153126 0.0170064i
\(667\) −26.0590 + 5.53900i −1.00901 + 0.214471i
\(668\) 20.5560 28.2929i 0.795335 1.09468i
\(669\) 0.863382 + 4.06189i 0.0333803 + 0.157042i
\(670\) −0.783508 0.705474i −0.0302695 0.0272548i
\(671\) 3.08424 + 4.24509i 0.119066 + 0.163880i
\(672\) −0.237238 + 0.263480i −0.00915166 + 0.0101639i
\(673\) 17.2595 7.68443i 0.665305 0.296213i −0.0461602 0.998934i \(-0.514698\pi\)
0.711465 + 0.702721i \(0.248032\pi\)
\(674\) 0.310791 + 0.698048i 0.0119712 + 0.0268878i
\(675\) 3.37353 2.45102i 0.129847 0.0943396i
\(676\) 25.9804 0.155574i 0.999247 0.00598361i
\(677\) −32.3375 −1.24283 −0.621415 0.783481i \(-0.713442\pi\)
−0.621415 + 0.783481i \(0.713442\pi\)
\(678\) −0.0314301 + 0.00330344i −0.00120707 + 0.000126868i
\(679\) −4.55762 5.06175i −0.174905 0.194252i
\(680\) −0.941302 + 1.04542i −0.0360973 + 0.0400901i
\(681\) 0.795081i 0.0304676i
\(682\) 0.203877 0.183008i 0.00780685 0.00700772i
\(683\) 7.33465 4.23466i 0.280653 0.162035i −0.353066 0.935598i \(-0.614861\pi\)
0.633719 + 0.773563i \(0.281528\pi\)
\(684\) 27.4505 8.91921i 1.04960 0.341035i
\(685\) 27.3425 5.81183i 1.04470 0.222059i
\(686\) 0.0287059 + 0.273118i 0.00109600 + 0.0104277i
\(687\) 1.05526 + 0.609256i 0.0402607 + 0.0232445i
\(688\) −37.2774 −1.42119
\(689\) 0.352114 + 0.155510i 0.0134145 + 0.00592445i
\(690\) 0.141717 + 0.102963i 0.00539506 + 0.00391974i
\(691\) −2.70024 6.06484i −0.102722 0.230717i 0.854872 0.518839i \(-0.173636\pi\)
−0.957594 + 0.288122i \(0.906969\pi\)
\(692\) −36.0936 7.67193i −1.37207 0.291643i
\(693\) 13.8068 + 6.14717i 0.524475 + 0.233511i
\(694\) −1.17117 + 0.380537i −0.0444571 + 0.0144450i
\(695\) −9.52042 44.7901i −0.361130 1.69898i
\(696\) −0.0981934 0.0103205i −0.00372201 0.000391199i
\(697\) 35.2946 + 11.4679i 1.33688 + 0.434379i
\(698\) −0.779814 + 0.165755i −0.0295164 + 0.00627391i
\(699\) 3.21102 1.42964i 0.121452 0.0540740i
\(700\) −21.2780 + 19.1588i −0.804235 + 0.724136i
\(701\) 6.94983 + 21.3894i 0.262491 + 0.807865i 0.992261 + 0.124172i \(0.0396274\pi\)
−0.729769 + 0.683693i \(0.760373\pi\)
\(702\) 0.0943962 + 0.129111i 0.00356276 + 0.00487296i
\(703\) 7.83385 + 24.1101i 0.295459 + 0.909330i
\(704\) −4.15773 9.33841i −0.156700 0.351955i
\(705\) −5.53005 + 2.46214i −0.208274 + 0.0927295i
\(706\) −0.831931 0.370400i −0.0313101 0.0139402i
\(707\) 59.6547i 2.24355i
\(708\) −1.65929 + 0.957992i −0.0623600 + 0.0360035i
\(709\) 5.11899 11.4974i 0.192248 0.431795i −0.791544 0.611113i \(-0.790722\pi\)
0.983791 + 0.179317i \(0.0573889\pi\)
\(710\) −0.189060 0.0614294i −0.00709531 0.00230541i
\(711\) 11.4367 12.7017i 0.428910 0.476353i
\(712\) 0.0262201 0.0454145i 0.000982640 0.00170198i
\(713\) 42.4834 + 13.8756i 1.59101 + 0.519644i
\(714\) −0.0925207 −0.00346250
\(715\) −4.23310 12.8966i −0.158309 0.482307i
\(716\) −11.1600 + 34.3469i −0.417068 + 1.28360i
\(717\) −1.42279 + 0.149541i −0.0531350 + 0.00558471i
\(718\) −0.137654 + 0.238423i −0.00513718 + 0.00889786i
\(719\) −17.9671 31.1199i −0.670060 1.16058i −0.977887 0.209136i \(-0.932935\pi\)
0.307827 0.951442i \(-0.400398\pi\)
\(720\) 20.3849 + 28.0573i 0.759699 + 1.04564i
\(721\) 7.14466 + 0.750934i 0.266081 + 0.0279663i
\(722\) 0.181807 + 0.0191087i 0.00676617 + 0.000711153i
\(723\) 2.65930 0.864059i 0.0989005 0.0321347i
\(724\) −4.77562 2.12624i −0.177484 0.0790211i
\(725\) −11.7004 2.48700i −0.434543 0.0923649i
\(726\) 0.0517105 0.0465604i 0.00191916 0.00172802i
\(727\) −5.52968 4.01755i −0.205085 0.149003i 0.480502 0.876993i \(-0.340454\pi\)
−0.685587 + 0.727991i \(0.740454\pi\)
\(728\) −1.47511 1.62844i −0.0546710 0.0603540i
\(729\) −7.72165 + 23.7648i −0.285987 + 0.880178i
\(730\) 0.124959 + 0.280662i 0.00462494 + 0.0103878i
\(731\) −19.5513 21.7139i −0.723130 0.803118i
\(732\) −1.06096 + 1.17831i −0.0392140 + 0.0435516i
\(733\) 20.5831 + 28.3302i 0.760253 + 1.04640i 0.997193 + 0.0748738i \(0.0238554\pi\)
−0.236940 + 0.971524i \(0.576145\pi\)
\(734\) −0.263905 0.237621i −0.00974090 0.00877075i
\(735\) −4.98266 0.523699i −0.183788 0.0193169i
\(736\) −2.16854 + 2.98474i −0.0799335 + 0.110019i
\(737\) 10.9919 + 4.89392i 0.404893 + 0.180270i
\(738\) −0.673647 + 1.16679i −0.0247973 + 0.0429502i
\(739\) 38.1921 + 22.0502i 1.40492 + 0.811131i 0.994892 0.100941i \(-0.0321854\pi\)
0.410029 + 0.912073i \(0.365519\pi\)
\(740\) −24.6613 + 17.9175i −0.906566 + 0.658659i
\(741\) −0.719182 3.33437i −0.0264198 0.122491i
\(742\) −0.00502791 0.0154743i −0.000184580 0.000568080i
\(743\) 35.2482 + 20.3506i 1.29313 + 0.746590i 0.979208 0.202859i \(-0.0650232\pi\)
0.313923 + 0.949448i \(0.398357\pi\)
\(744\) 0.133850 + 0.0975610i 0.00490718 + 0.00357676i
\(745\) 12.3319 + 21.3596i 0.451807 + 0.782553i
\(746\) 0.148179 0.0481464i 0.00542523 0.00176276i
\(747\) −0.259099 1.21897i −0.00947995 0.0445997i
\(748\) 3.26374 7.33048i 0.119334 0.268029i
\(749\) 21.7891i 0.796155i
\(750\) −0.0152318 0.0263822i −0.000556185 0.000963341i
\(751\) 1.53687 + 14.6224i 0.0560813 + 0.533578i 0.986110 + 0.166092i \(0.0531148\pi\)
−0.930029 + 0.367486i \(0.880219\pi\)
\(752\) −17.2641 38.7758i −0.629558 1.41401i
\(753\) −2.96561 2.15464i −0.108073 0.0785195i