Properties

Label 588.2.x.a.559.4
Level $588$
Weight $2$
Character 588.559
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 559.4
Character \(\chi\) \(=\) 588.559
Dual form 588.2.x.a.223.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29096 - 0.577431i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(1.33315 + 1.49088i) q^{4} +(-3.29539 + 0.752152i) q^{5} +(-0.275689 + 1.38708i) q^{6} +(2.53967 + 0.741675i) q^{7} +(-0.860155 - 2.69446i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\) \(q+(-1.29096 - 0.577431i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(1.33315 + 1.49088i) q^{4} +(-3.29539 + 0.752152i) q^{5} +(-0.275689 + 1.38708i) q^{6} +(2.53967 + 0.741675i) q^{7} +(-0.860155 - 2.69446i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(4.68853 + 0.931867i) q^{10} +(0.238885 - 0.496050i) q^{11} +(1.15685 - 1.63147i) q^{12} +(1.89393 - 3.93278i) q^{13} +(-2.85034 - 2.42396i) q^{14} +(1.46659 + 3.04540i) q^{15} +(-0.445444 + 3.97512i) q^{16} +(-0.912896 - 0.728010i) q^{17} +(1.41365 - 0.0398780i) q^{18} -5.82428 q^{19} +(-5.51461 - 3.91031i) q^{20} +(0.157950 - 2.64103i) q^{21} +(-0.594826 + 0.502440i) q^{22} +(-3.59877 + 2.86993i) q^{23} +(-2.43551 + 1.43816i) q^{24} +(5.78904 - 2.78786i) q^{25} +(-4.71589 + 3.98344i) q^{26} +(0.623490 + 0.781831i) q^{27} +(2.28000 + 4.77510i) q^{28} +(-2.97720 + 3.73330i) q^{29} +(-0.134793 - 4.77834i) q^{30} -10.0174 q^{31} +(2.87041 - 4.87450i) q^{32} +(-0.536770 - 0.122514i) q^{33} +(0.758135 + 1.46697i) q^{34} +(-8.92706 - 0.533893i) q^{35} +(-1.84799 - 0.764806i) q^{36} +(-3.96278 + 4.96917i) q^{37} +(7.51890 + 3.36312i) q^{38} +(-4.25562 - 0.971316i) q^{39} +(4.86120 + 8.23235i) q^{40} +(5.88603 - 1.34345i) q^{41} +(-1.72892 + 3.31826i) q^{42} +(-4.65448 - 1.06236i) q^{43} +(1.05802 - 0.305158i) q^{44} +(2.64270 - 2.10748i) q^{45} +(6.30305 - 1.62691i) q^{46} +(3.91663 + 1.88615i) q^{47} +(3.97458 - 0.450272i) q^{48} +(5.89984 + 3.76722i) q^{49} +(-9.08321 + 0.256230i) q^{50} +(-0.506619 + 1.05201i) q^{51} +(8.38818 - 2.41935i) q^{52} +(-2.02842 - 2.54356i) q^{53} +(-0.353445 - 1.36933i) q^{54} +(-0.414115 + 1.81436i) q^{55} +(-0.186093 - 7.48100i) q^{56} +(1.29602 + 5.67825i) q^{57} +(5.99917 - 3.10040i) q^{58} +(-1.10038 + 4.82106i) q^{59} +(-2.58515 + 6.24647i) q^{60} +(-11.4967 - 9.16829i) q^{61} +(12.9320 + 5.78436i) q^{62} +(-2.60996 + 0.433695i) q^{63} +(-6.52027 + 4.63531i) q^{64} +(-3.28319 + 14.3846i) q^{65} +(0.622204 + 0.468109i) q^{66} +6.97890i q^{67} +(-0.131648 - 2.33156i) q^{68} +(3.59877 + 2.86993i) q^{69} +(11.2162 + 5.84400i) q^{70} +(-4.40600 + 3.51366i) q^{71} +(1.94406 + 2.05442i) q^{72} +(-4.05356 - 8.41731i) q^{73} +(7.98514 - 4.12675i) q^{74} +(-4.00614 - 5.02354i) q^{75} +(-7.76462 - 8.68330i) q^{76} +(0.974597 - 1.08263i) q^{77} +(4.93295 + 3.71125i) q^{78} +4.40385i q^{79} +(-1.52198 - 13.4346i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-8.37437 - 1.66444i) q^{82} +(-12.3189 + 5.93247i) q^{83} +(4.14803 - 3.28540i) q^{84} +(3.55593 + 1.71244i) q^{85} +(5.39531 + 4.05910i) q^{86} +(4.30218 + 2.07182i) q^{87} +(-1.54207 - 0.216987i) q^{88} +(-7.13464 - 14.8152i) q^{89} +(-4.62854 + 1.19469i) q^{90} +(7.72679 - 8.58328i) q^{91} +(-9.07640 - 1.53931i) q^{92} +(2.22908 + 9.76624i) q^{93} +(-3.96709 - 4.69653i) q^{94} +(19.1933 - 4.38075i) q^{95} +(-5.39101 - 1.71376i) q^{96} +2.32751i q^{97} +(-5.44113 - 8.27007i) q^{98} +0.550574i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29096 0.577431i −0.912845 0.408306i
\(3\) −0.222521 0.974928i −0.128473 0.562875i
\(4\) 1.33315 + 1.49088i 0.666573 + 0.745440i
\(5\) −3.29539 + 0.752152i −1.47374 + 0.336373i −0.882574 0.470174i \(-0.844191\pi\)
−0.591171 + 0.806546i \(0.701334\pi\)
\(6\) −0.275689 + 1.38708i −0.112549 + 0.566274i
\(7\) 2.53967 + 0.741675i 0.959905 + 0.280327i
\(8\) −0.860155 2.69446i −0.304111 0.952637i
\(9\) −0.900969 + 0.433884i −0.300323 + 0.144628i
\(10\) 4.68853 + 0.931867i 1.48264 + 0.294682i
\(11\) 0.238885 0.496050i 0.0720266 0.149565i −0.861847 0.507169i \(-0.830692\pi\)
0.933873 + 0.357604i \(0.116406\pi\)
\(12\) 1.15685 1.63147i 0.333953 0.470966i
\(13\) 1.89393 3.93278i 0.525281 1.09076i −0.454512 0.890741i \(-0.650186\pi\)
0.979793 0.200016i \(-0.0640995\pi\)
\(14\) −2.85034 2.42396i −0.761785 0.647829i
\(15\) 1.46659 + 3.04540i 0.378671 + 0.786319i
\(16\) −0.445444 + 3.97512i −0.111361 + 0.993780i
\(17\) −0.912896 0.728010i −0.221410 0.176568i 0.506503 0.862238i \(-0.330938\pi\)
−0.727913 + 0.685670i \(0.759509\pi\)
\(18\) 1.41365 0.0398780i 0.333201 0.00939934i
\(19\) −5.82428 −1.33618 −0.668091 0.744080i \(-0.732888\pi\)
−0.668091 + 0.744080i \(0.732888\pi\)
\(20\) −5.51461 3.91031i −1.23310 0.874371i
\(21\) 0.157950 2.64103i 0.0344675 0.576321i
\(22\) −0.594826 + 0.502440i −0.126817 + 0.107121i
\(23\) −3.59877 + 2.86993i −0.750396 + 0.598421i −0.922201 0.386710i \(-0.873611\pi\)
0.171805 + 0.985131i \(0.445040\pi\)
\(24\) −2.43551 + 1.43816i −0.497145 + 0.293564i
\(25\) 5.78904 2.78786i 1.15781 0.557571i
\(26\) −4.71589 + 3.98344i −0.924862 + 0.781217i
\(27\) 0.623490 + 0.781831i 0.119991 + 0.150464i
\(28\) 2.28000 + 4.77510i 0.430880 + 0.902409i
\(29\) −2.97720 + 3.73330i −0.552853 + 0.693256i −0.977219 0.212235i \(-0.931926\pi\)
0.424366 + 0.905491i \(0.360497\pi\)
\(30\) −0.134793 4.77834i −0.0246098 0.872402i
\(31\) −10.0174 −1.79918 −0.899589 0.436737i \(-0.856134\pi\)
−0.899589 + 0.436737i \(0.856134\pi\)
\(32\) 2.87041 4.87450i 0.507421 0.861698i
\(33\) −0.536770 0.122514i −0.0934397 0.0213270i
\(34\) 0.758135 + 1.46697i 0.130019 + 0.251583i
\(35\) −8.92706 0.533893i −1.50895 0.0902444i
\(36\) −1.84799 0.764806i −0.307999 0.127468i
\(37\) −3.96278 + 4.96917i −0.651477 + 0.816926i −0.992386 0.123170i \(-0.960694\pi\)
0.340909 + 0.940096i \(0.389265\pi\)
\(38\) 7.51890 + 3.36312i 1.21973 + 0.545571i
\(39\) −4.25562 0.971316i −0.681444 0.155535i
\(40\) 4.86120 + 8.23235i 0.768622 + 1.30165i
\(41\) 5.88603 1.34345i 0.919244 0.209811i 0.263381 0.964692i \(-0.415162\pi\)
0.655863 + 0.754880i \(0.272305\pi\)
\(42\) −1.72892 + 3.31826i −0.266778 + 0.512018i
\(43\) −4.65448 1.06236i −0.709802 0.162008i −0.147648 0.989040i \(-0.547170\pi\)
−0.562154 + 0.827032i \(0.690027\pi\)
\(44\) 1.05802 0.305158i 0.159502 0.0460043i
\(45\) 2.64270 2.10748i 0.393951 0.314165i
\(46\) 6.30305 1.62691i 0.929334 0.239875i
\(47\) 3.91663 + 1.88615i 0.571300 + 0.275123i 0.697149 0.716926i \(-0.254451\pi\)
−0.125850 + 0.992049i \(0.540166\pi\)
\(48\) 3.97458 0.450272i 0.573681 0.0649911i
\(49\) 5.89984 + 3.76722i 0.842834 + 0.538174i
\(50\) −9.08321 + 0.256230i −1.28456 + 0.0362364i
\(51\) −0.506619 + 1.05201i −0.0709409 + 0.147310i
\(52\) 8.38818 2.41935i 1.16323 0.335504i
\(53\) −2.02842 2.54356i −0.278625 0.349385i 0.622752 0.782419i \(-0.286014\pi\)
−0.901378 + 0.433034i \(0.857443\pi\)
\(54\) −0.353445 1.36933i −0.0480978 0.186343i
\(55\) −0.414115 + 1.81436i −0.0558393 + 0.244648i
\(56\) −0.186093 7.48100i −0.0248677 0.999691i
\(57\) 1.29602 + 5.67825i 0.171663 + 0.752103i
\(58\) 5.99917 3.10040i 0.787729 0.407102i
\(59\) −1.10038 + 4.82106i −0.143257 + 0.627649i 0.851409 + 0.524502i \(0.175748\pi\)
−0.994666 + 0.103147i \(0.967109\pi\)
\(60\) −2.58515 + 6.24647i −0.333742 + 0.806416i
\(61\) −11.4967 9.16829i −1.47200 1.17388i −0.946336 0.323185i \(-0.895246\pi\)
−0.525662 0.850694i \(-0.676182\pi\)
\(62\) 12.9320 + 5.78436i 1.64237 + 0.734615i
\(63\) −2.60996 + 0.433695i −0.328824 + 0.0546405i
\(64\) −6.52027 + 4.63531i −0.815033 + 0.579414i
\(65\) −3.28319 + 14.3846i −0.407229 + 1.78419i
\(66\) 0.622204 + 0.468109i 0.0765880 + 0.0576202i
\(67\) 6.97890i 0.852608i 0.904580 + 0.426304i \(0.140185\pi\)
−0.904580 + 0.426304i \(0.859815\pi\)
\(68\) −0.131648 2.33156i −0.0159647 0.282743i
\(69\) 3.59877 + 2.86993i 0.433241 + 0.345498i
\(70\) 11.2162 + 5.84400i 1.34059 + 0.698492i
\(71\) −4.40600 + 3.51366i −0.522895 + 0.416995i −0.849043 0.528324i \(-0.822821\pi\)
0.326148 + 0.945319i \(0.394249\pi\)
\(72\) 1.94406 + 2.05442i 0.229109 + 0.242116i
\(73\) −4.05356 8.41731i −0.474434 0.985171i −0.991607 0.129291i \(-0.958730\pi\)
0.517173 0.855881i \(-0.326984\pi\)
\(74\) 7.98514 4.12675i 0.928253 0.479725i
\(75\) −4.00614 5.02354i −0.462589 0.580069i
\(76\) −7.76462 8.68330i −0.890663 0.996043i
\(77\) 0.974597 1.08263i 0.111066 0.123377i
\(78\) 4.93295 + 3.71125i 0.558547 + 0.420217i
\(79\) 4.40385i 0.495472i 0.968828 + 0.247736i \(0.0796865\pi\)
−0.968828 + 0.247736i \(0.920313\pi\)
\(80\) −1.52198 13.4346i −0.170163 1.50204i
\(81\) 0.623490 0.781831i 0.0692766 0.0868702i
\(82\) −8.37437 1.66444i −0.924795 0.183807i
\(83\) −12.3189 + 5.93247i −1.35217 + 0.651173i −0.962877 0.269940i \(-0.912996\pi\)
−0.389297 + 0.921112i \(0.627282\pi\)
\(84\) 4.14803 3.28540i 0.452587 0.358466i
\(85\) 3.55593 + 1.71244i 0.385694 + 0.185741i
\(86\) 5.39531 + 4.05910i 0.581791 + 0.437704i
\(87\) 4.30218 + 2.07182i 0.461243 + 0.222123i
\(88\) −1.54207 0.216987i −0.164385 0.0231309i
\(89\) −7.13464 14.8152i −0.756270 1.57041i −0.819946 0.572441i \(-0.805997\pi\)
0.0636757 0.997971i \(-0.479718\pi\)
\(90\) −4.62854 + 1.19469i −0.487891 + 0.125932i
\(91\) 7.72679 8.58328i 0.809988 0.899772i
\(92\) −9.07640 1.53931i −0.946280 0.160484i
\(93\) 2.22908 + 9.76624i 0.231145 + 1.01271i
\(94\) −3.96709 4.69653i −0.409174 0.484410i
\(95\) 19.1933 4.38075i 1.96919 0.449455i
\(96\) −5.39101 1.71376i −0.550218 0.174910i
\(97\) 2.32751i 0.236322i 0.992994 + 0.118161i \(0.0377000\pi\)
−0.992994 + 0.118161i \(0.962300\pi\)
\(98\) −5.44113 8.27007i −0.549637 0.835403i
\(99\) 0.550574i 0.0553348i
\(100\) 11.8740 + 4.91415i 1.18740 + 0.491415i
\(101\) 5.34275 1.21945i 0.531623 0.121340i 0.0517211 0.998662i \(-0.483529\pi\)
0.479902 + 0.877322i \(0.340672\pi\)
\(102\) 1.26149 1.06556i 0.124906 0.105506i
\(103\) 4.07173 + 17.8394i 0.401199 + 1.75777i 0.622554 + 0.782576i \(0.286095\pi\)
−0.221355 + 0.975193i \(0.571048\pi\)
\(104\) −12.2258 1.72032i −1.19884 0.168691i
\(105\) 1.46595 + 8.82204i 0.143062 + 0.860943i
\(106\) 1.14988 + 4.45491i 0.111686 + 0.432699i
\(107\) −6.48714 13.4707i −0.627136 1.30226i −0.936283 0.351247i \(-0.885758\pi\)
0.309147 0.951014i \(-0.399956\pi\)
\(108\) −0.334414 + 1.97184i −0.0321790 + 0.189741i
\(109\) −9.36009 4.50758i −0.896534 0.431748i −0.0718981 0.997412i \(-0.522906\pi\)
−0.824636 + 0.565664i \(0.808620\pi\)
\(110\) 1.58227 2.10314i 0.150864 0.200526i
\(111\) 5.72638 + 2.75768i 0.543524 + 0.261747i
\(112\) −4.07953 + 9.76511i −0.385479 + 0.922717i
\(113\) 0.751830 0.362062i 0.0707262 0.0340599i −0.398186 0.917305i \(-0.630360\pi\)
0.468912 + 0.883245i \(0.344646\pi\)
\(114\) 1.60569 8.07875i 0.150387 0.756645i
\(115\) 9.70075 12.1644i 0.904600 1.13433i
\(116\) −9.53494 + 0.538375i −0.885297 + 0.0499869i
\(117\) 4.36506i 0.403550i
\(118\) 4.20437 5.58840i 0.387044 0.514454i
\(119\) −1.77851 2.52598i −0.163035 0.231556i
\(120\) 6.94423 6.57119i 0.633919 0.599864i
\(121\) 6.66939 + 8.36315i 0.606308 + 0.760286i
\(122\) 9.54766 + 18.4744i 0.864405 + 1.67259i
\(123\) −2.61953 5.43951i −0.236195 0.490464i
\(124\) −13.3547 14.9347i −1.19928 1.34118i
\(125\) −3.76678 + 3.00391i −0.336911 + 0.268678i
\(126\) 3.61978 + 0.947192i 0.322476 + 0.0843826i
\(127\) 1.13409 + 0.904408i 0.100634 + 0.0802532i 0.672514 0.740084i \(-0.265214\pi\)
−0.571880 + 0.820337i \(0.693786\pi\)
\(128\) 11.0940 2.21899i 0.980577 0.196132i
\(129\) 4.77418i 0.420343i
\(130\) 12.5446 16.6741i 1.10023 1.46241i
\(131\) 2.97964 13.0547i 0.260333 1.14059i −0.660560 0.750774i \(-0.729681\pi\)
0.920892 0.389818i \(-0.127462\pi\)
\(132\) −0.532939 0.963589i −0.0463864 0.0838696i
\(133\) −14.7917 4.31972i −1.28261 0.374567i
\(134\) 4.02984 9.00947i 0.348125 0.778299i
\(135\) −2.64270 2.10748i −0.227447 0.181383i
\(136\) −1.17637 + 3.08597i −0.100873 + 0.264619i
\(137\) 0.816979 3.57942i 0.0697992 0.305810i −0.927963 0.372672i \(-0.878442\pi\)
0.997762 + 0.0668619i \(0.0212987\pi\)
\(138\) −2.98868 5.78300i −0.254413 0.492281i
\(139\) −4.98579 21.8442i −0.422889 1.85280i −0.515201 0.857069i \(-0.672283\pi\)
0.0923115 0.995730i \(-0.470574\pi\)
\(140\) −11.1051 14.0209i −0.938553 1.18498i
\(141\) 0.967328 4.23814i 0.0814638 0.356916i
\(142\) 7.71686 1.99183i 0.647584 0.167151i
\(143\) −1.49842 1.87897i −0.125305 0.157127i
\(144\) −1.32341 3.77473i −0.110284 0.314561i
\(145\) 7.00305 14.5420i 0.581572 1.20765i
\(146\) 0.372561 + 13.2070i 0.0308333 + 1.09302i
\(147\) 2.35993 6.59020i 0.194644 0.543551i
\(148\) −12.6914 + 0.716599i −1.04323 + 0.0589041i
\(149\) 6.89016 + 3.31813i 0.564464 + 0.271832i 0.694278 0.719707i \(-0.255724\pi\)
−0.129814 + 0.991538i \(0.541438\pi\)
\(150\) 2.27101 + 8.79846i 0.185427 + 0.718391i
\(151\) −0.701173 + 0.559167i −0.0570607 + 0.0455044i −0.651605 0.758559i \(-0.725904\pi\)
0.594544 + 0.804063i \(0.297333\pi\)
\(152\) 5.00978 + 15.6933i 0.406347 + 1.27290i
\(153\) 1.13836 + 0.259824i 0.0920312 + 0.0210055i
\(154\) −1.88331 + 0.834864i −0.151761 + 0.0672753i
\(155\) 33.0113 7.53461i 2.65153 0.605194i
\(156\) −4.22524 7.63952i −0.338290 0.611651i
\(157\) 20.4210 + 4.66096i 1.62977 + 0.371985i 0.937043 0.349213i \(-0.113551\pi\)
0.692729 + 0.721198i \(0.256408\pi\)
\(158\) 2.54292 5.68518i 0.202304 0.452289i
\(159\) −2.02842 + 2.54356i −0.160865 + 0.201718i
\(160\) −5.79276 + 18.2224i −0.457958 + 1.44061i
\(161\) −11.2682 + 4.61954i −0.888062 + 0.364071i
\(162\) −1.25635 + 0.649289i −0.0987084 + 0.0510130i
\(163\) 14.5315 + 3.31672i 1.13820 + 0.259786i 0.749773 0.661695i \(-0.230163\pi\)
0.388423 + 0.921481i \(0.373020\pi\)
\(164\) 9.84986 + 6.98435i 0.769145 + 0.545386i
\(165\) 1.86102 0.144880
\(166\) 19.3288 0.545250i 1.50020 0.0423196i
\(167\) −7.16310 + 8.98225i −0.554298 + 0.695067i −0.977492 0.210972i \(-0.932337\pi\)
0.423195 + 0.906039i \(0.360909\pi\)
\(168\) −7.25203 + 1.84611i −0.559506 + 0.142430i
\(169\) −3.77443 4.73299i −0.290341 0.364076i
\(170\) −3.60173 4.26400i −0.276240 0.327034i
\(171\) 5.24750 2.52706i 0.401286 0.193249i
\(172\) −4.62126 8.35555i −0.352368 0.637105i
\(173\) 4.62285 3.68660i 0.351469 0.280287i −0.431801 0.901969i \(-0.642122\pi\)
0.783270 + 0.621682i \(0.213550\pi\)
\(174\) −4.35760 5.15885i −0.330349 0.391092i
\(175\) 16.7699 2.78664i 1.26769 0.210651i
\(176\) 1.86545 + 1.17056i 0.140613 + 0.0882342i
\(177\) 4.94504 0.371692
\(178\) 0.655741 + 23.2456i 0.0491498 + 1.74233i
\(179\) −0.590888 0.471218i −0.0441651 0.0352205i 0.601159 0.799130i \(-0.294706\pi\)
−0.645324 + 0.763909i \(0.723277\pi\)
\(180\) 6.66511 + 1.13037i 0.496788 + 0.0842525i
\(181\) −0.424889 0.882291i −0.0315818 0.0655802i 0.884581 0.466386i \(-0.154444\pi\)
−0.916163 + 0.400806i \(0.868730\pi\)
\(182\) −14.9312 + 6.61896i −1.10678 + 0.490630i
\(183\) −6.38017 + 13.2486i −0.471636 + 0.979362i
\(184\) 10.8284 + 7.22818i 0.798281 + 0.532869i
\(185\) 9.32135 19.3560i 0.685319 1.42308i
\(186\) 2.76169 13.8950i 0.202497 1.01883i
\(187\) −0.579207 + 0.278931i −0.0423558 + 0.0203975i
\(188\) 2.40942 + 8.35374i 0.175725 + 0.609259i
\(189\) 1.00359 + 2.44802i 0.0730007 + 0.178067i
\(190\) −27.3073 5.42746i −1.98108 0.393749i
\(191\) 9.42727 2.15171i 0.682133 0.155692i 0.132607 0.991169i \(-0.457665\pi\)
0.549526 + 0.835476i \(0.314808\pi\)
\(192\) 5.96999 + 5.32534i 0.430847 + 0.384323i
\(193\) −1.05497 4.62211i −0.0759381 0.332706i 0.922662 0.385611i \(-0.126009\pi\)
−0.998600 + 0.0529044i \(0.983152\pi\)
\(194\) 1.34398 3.00471i 0.0964918 0.215726i
\(195\) 14.7545 1.05659
\(196\) 2.24888 + 13.8182i 0.160634 + 0.987014i
\(197\) 14.9940 1.06828 0.534141 0.845396i \(-0.320635\pi\)
0.534141 + 0.845396i \(0.320635\pi\)
\(198\) 0.317919 0.710768i 0.0225935 0.0505121i
\(199\) 1.69742 + 7.43687i 0.120327 + 0.527186i 0.998781 + 0.0493596i \(0.0157180\pi\)
−0.878454 + 0.477826i \(0.841425\pi\)
\(200\) −12.4912 13.2004i −0.883265 0.933408i
\(201\) 6.80392 1.55295i 0.479912 0.109537i
\(202\) −7.60141 1.51081i −0.534833 0.106301i
\(203\) −10.3300 + 7.27322i −0.725024 + 0.510480i
\(204\) −2.24381 + 0.647169i −0.157098 + 0.0453109i
\(205\) −18.3863 + 8.85438i −1.28416 + 0.618417i
\(206\) 5.04461 25.3811i 0.351474 1.76838i
\(207\) 1.99717 4.14716i 0.138813 0.288248i
\(208\) 14.7896 + 9.28042i 1.02548 + 0.643481i
\(209\) −1.39133 + 2.88913i −0.0962406 + 0.199846i
\(210\) 3.20164 12.2354i 0.220934 0.844321i
\(211\) −9.90915 20.5766i −0.682174 1.41655i −0.897946 0.440105i \(-0.854941\pi\)
0.215772 0.976444i \(-0.430773\pi\)
\(212\) 1.08796 6.41508i 0.0747215 0.440589i
\(213\) 4.40600 + 3.51366i 0.301894 + 0.240752i
\(214\) 0.596230 + 21.1360i 0.0407574 + 1.44483i
\(215\) 16.1374 1.10056
\(216\) 1.57032 2.35247i 0.106847 0.160065i
\(217\) −25.4409 7.42965i −1.72704 0.504358i
\(218\) 9.48066 + 11.2239i 0.642112 + 0.760179i
\(219\) −7.30427 + 5.82496i −0.493577 + 0.393614i
\(220\) −3.25707 + 1.80141i −0.219591 + 0.121451i
\(221\) −4.59206 + 2.21142i −0.308896 + 0.148756i
\(222\) −5.80015 6.86664i −0.389280 0.460859i
\(223\) 0.451223 + 0.565815i 0.0302161 + 0.0378898i 0.796710 0.604362i \(-0.206572\pi\)
−0.766494 + 0.642252i \(0.778000\pi\)
\(224\) 10.9052 10.2507i 0.728633 0.684904i
\(225\) −4.00614 + 5.02354i −0.267076 + 0.334903i
\(226\) −1.17965 + 0.0332769i −0.0784689 + 0.00221355i
\(227\) −28.2167 −1.87281 −0.936403 0.350926i \(-0.885867\pi\)
−0.936403 + 0.350926i \(0.885867\pi\)
\(228\) −6.73780 + 9.50216i −0.446222 + 0.629296i
\(229\) −6.56700 1.49888i −0.433960 0.0990485i −3.99190e−5 1.00000i \(-0.500013\pi\)
−0.433920 + 0.900952i \(0.642870\pi\)
\(230\) −19.5473 + 10.1022i −1.28891 + 0.666117i
\(231\) −1.27235 0.709254i −0.0837146 0.0466655i
\(232\) 12.6201 + 4.81076i 0.828549 + 0.315842i
\(233\) −8.60359 + 10.7886i −0.563640 + 0.706782i −0.979226 0.202772i \(-0.935005\pi\)
0.415586 + 0.909554i \(0.363576\pi\)
\(234\) 2.52052 5.63510i 0.164772 0.368378i
\(235\) −14.3255 3.26971i −0.934494 0.213292i
\(236\) −8.65458 + 4.78665i −0.563365 + 0.311584i
\(237\) 4.29344 0.979949i 0.278889 0.0636545i
\(238\) 0.837400 + 4.28790i 0.0542806 + 0.277943i
\(239\) 10.0557 + 2.29515i 0.650449 + 0.148461i 0.534999 0.844853i \(-0.320312\pi\)
0.115450 + 0.993313i \(0.463169\pi\)
\(240\) −12.7591 + 4.47331i −0.823598 + 0.288751i
\(241\) 6.66321 5.31373i 0.429215 0.342288i −0.384933 0.922944i \(-0.625776\pi\)
0.814148 + 0.580657i \(0.197204\pi\)
\(242\) −3.78076 14.6476i −0.243036 0.941583i
\(243\) −0.900969 0.433884i −0.0577972 0.0278337i
\(244\) −1.65792 29.3628i −0.106138 1.87976i
\(245\) −22.2758 7.97689i −1.42315 0.509625i
\(246\) 0.240760 + 8.53478i 0.0153503 + 0.544158i
\(247\) −11.0308 + 22.9056i −0.701871 + 1.45745i
\(248\) 8.61651 + 26.9915i 0.547149 + 1.71396i
\(249\) 8.52494 + 10.6899i 0.540246 + 0.677447i
\(250\) 6.59731 1.70286i 0.417250 0.107698i
\(251\) −2.39178 + 10.4791i −0.150968 + 0.661434i 0.841637 + 0.540044i \(0.181592\pi\)
−0.992605 + 0.121390i \(0.961265\pi\)
\(252\) −4.12605 3.31296i −0.259917 0.208697i
\(253\) 0.563933 + 2.47075i 0.0354542 + 0.155335i
\(254\) −0.941831 1.82241i −0.0590957 0.114348i
\(255\) 0.878241 3.84783i 0.0549976 0.240960i
\(256\) −15.6032 3.54139i −0.975197 0.221337i
\(257\) −0.802420 0.639909i −0.0500536 0.0399164i 0.598143 0.801389i \(-0.295905\pi\)
−0.648197 + 0.761473i \(0.724477\pi\)
\(258\) 2.75676 6.16327i 0.171629 0.383708i
\(259\) −13.7497 + 9.68095i −0.854362 + 0.601545i
\(260\) −25.8226 + 14.2819i −1.60145 + 0.885726i
\(261\) 1.06255 4.65534i 0.0657703 0.288159i
\(262\) −11.3848 + 15.1325i −0.703353 + 0.934888i
\(263\) 12.1731i 0.750625i 0.926898 + 0.375313i \(0.122465\pi\)
−0.926898 + 0.375313i \(0.877535\pi\)
\(264\) 0.131595 + 1.55169i 0.00809912 + 0.0954998i
\(265\) 8.59760 + 6.85636i 0.528147 + 0.421183i
\(266\) 16.6012 + 14.1178i 1.01788 + 0.865618i
\(267\) −12.8562 + 10.2525i −0.786785 + 0.627440i
\(268\) −10.4047 + 9.30389i −0.635568 + 0.568326i
\(269\) 10.2390 + 21.2614i 0.624280 + 1.29633i 0.937941 + 0.346796i \(0.112730\pi\)
−0.313660 + 0.949535i \(0.601555\pi\)
\(270\) 2.19469 + 4.24665i 0.133565 + 0.258443i
\(271\) −8.30091 10.4090i −0.504245 0.632303i 0.462936 0.886392i \(-0.346796\pi\)
−0.967181 + 0.254089i \(0.918224\pi\)
\(272\) 3.30057 3.30458i 0.200127 0.200370i
\(273\) −10.0875 5.62310i −0.610520 0.340326i
\(274\) −3.12155 + 4.14913i −0.188580 + 0.250658i
\(275\) 3.53763i 0.213327i
\(276\) 0.518976 + 9.19137i 0.0312387 + 0.553255i
\(277\) −5.83023 + 7.31088i −0.350305 + 0.439268i −0.925500 0.378748i \(-0.876355\pi\)
0.575195 + 0.818016i \(0.304926\pi\)
\(278\) −6.17707 + 31.0789i −0.370476 + 1.86399i
\(279\) 9.02537 4.34639i 0.540335 0.260211i
\(280\) 6.24010 + 24.5129i 0.372917 + 1.46492i
\(281\) −1.97504 0.951129i −0.117821 0.0567396i 0.374045 0.927411i \(-0.377971\pi\)
−0.491866 + 0.870671i \(0.663685\pi\)
\(282\) −3.69602 + 4.91270i −0.220095 + 0.292547i
\(283\) 19.0479 + 9.17298i 1.13228 + 0.545277i 0.903665 0.428240i \(-0.140866\pi\)
0.228614 + 0.973517i \(0.426581\pi\)
\(284\) −11.1123 1.88458i −0.659393 0.111829i
\(285\) −8.54182 17.7373i −0.505974 1.05067i
\(286\) 0.849430 + 3.29090i 0.0502278 + 0.194595i
\(287\) 15.9450 + 0.953607i 0.941202 + 0.0562897i
\(288\) −0.471183 + 5.63720i −0.0277647 + 0.332175i
\(289\) −3.47948 15.2446i −0.204675 0.896740i
\(290\) −17.4377 + 14.7293i −1.02397 + 0.864935i
\(291\) 2.26915 0.517919i 0.133020 0.0303609i
\(292\) 7.14520 17.2649i 0.418141 1.01035i
\(293\) 2.38019i 0.139052i 0.997580 + 0.0695262i \(0.0221487\pi\)
−0.997580 + 0.0695262i \(0.977851\pi\)
\(294\) −6.85196 + 7.14498i −0.399614 + 0.416704i
\(295\) 16.7149i 0.973182i
\(296\) 16.7978 + 6.40331i 0.976355 + 0.372185i
\(297\) 0.536770 0.122514i 0.0311466 0.00710900i
\(298\) −6.97892 8.26216i −0.404278 0.478614i
\(299\) 4.47097 + 19.5886i 0.258563 + 1.13284i
\(300\) 2.14873 12.6698i 0.124057 0.731491i
\(301\) −11.0329 6.15014i −0.635927 0.354488i
\(302\) 1.22807 0.316982i 0.0706672 0.0182402i
\(303\) −2.37775 4.93744i −0.136598 0.283649i
\(304\) 2.59439 23.1522i 0.148799 1.32787i
\(305\) 44.7820 + 21.5659i 2.56421 + 1.23486i
\(306\) −1.31955 0.992748i −0.0754336 0.0567516i
\(307\) −6.07001 2.92316i −0.346434 0.166834i 0.252573 0.967578i \(-0.418723\pi\)
−0.599007 + 0.800744i \(0.704438\pi\)
\(308\) 2.91335 + 0.00970577i 0.166003 + 0.000553037i
\(309\) 16.4861 7.93929i 0.937861 0.451650i
\(310\) −46.9669 9.33488i −2.66754 0.530186i
\(311\) −6.07162 + 7.61357i −0.344290 + 0.431726i −0.923586 0.383391i \(-0.874756\pi\)
0.579296 + 0.815117i \(0.303327\pi\)
\(312\) 1.04331 + 12.3021i 0.0590659 + 0.696468i
\(313\) 12.9221i 0.730402i −0.930929 0.365201i \(-0.881000\pi\)
0.930929 0.365201i \(-0.119000\pi\)
\(314\) −23.6713 17.8088i −1.33585 1.00501i
\(315\) 8.27465 3.39229i 0.466224 0.191134i
\(316\) −6.56561 + 5.87097i −0.369344 + 0.330268i
\(317\) −1.90261 2.38580i −0.106861 0.134000i 0.725525 0.688196i \(-0.241597\pi\)
−0.832386 + 0.554196i \(0.813026\pi\)
\(318\) 4.08734 2.11236i 0.229207 0.118455i
\(319\) 1.14069 + 2.36867i 0.0638665 + 0.132620i
\(320\) 18.0004 20.1794i 1.00625 1.12806i
\(321\) −11.6894 + 9.32201i −0.652440 + 0.520304i
\(322\) 17.2143 + 0.543002i 0.959315 + 0.0302603i
\(323\) 5.31696 + 4.24014i 0.295844 + 0.235928i
\(324\) 1.99682 0.112747i 0.110934 0.00626373i
\(325\) 28.0470i 1.55577i
\(326\) −16.8444 12.6727i −0.932925 0.701876i
\(327\) −2.31175 + 10.1284i −0.127840 + 0.560104i
\(328\) −8.68277 14.7041i −0.479426 0.811900i
\(329\) 8.54804 + 7.69507i 0.471269 + 0.424243i
\(330\) −2.40250 1.07461i −0.132253 0.0591553i
\(331\) 16.0929 + 12.8336i 0.884544 + 0.705400i 0.956414 0.292014i \(-0.0943253\pi\)
−0.0718701 + 0.997414i \(0.522897\pi\)
\(332\) −25.2675 10.4571i −1.38673 0.573910i
\(333\) 1.41430 6.19645i 0.0775031 0.339563i
\(334\) 14.4339 7.45950i 0.789788 0.408166i
\(335\) −5.24919 22.9982i −0.286794 1.25653i
\(336\) 10.4281 + 1.80430i 0.568897 + 0.0984327i
\(337\) 0.428481 1.87730i 0.0233408 0.102263i −0.961916 0.273346i \(-0.911870\pi\)
0.985257 + 0.171083i \(0.0547267\pi\)
\(338\) 2.13966 + 8.28956i 0.116382 + 0.450893i
\(339\) −0.520282 0.652413i −0.0282578 0.0354342i
\(340\) 2.18752 + 7.58440i 0.118635 + 0.411322i
\(341\) −2.39301 + 4.96913i −0.129589 + 0.269094i
\(342\) −8.23350 + 0.232261i −0.445217 + 0.0125592i
\(343\) 12.1896 + 13.9432i 0.658176 + 0.752864i
\(344\) 1.14110 + 13.4551i 0.0615239 + 0.725452i
\(345\) −14.0180 6.75071i −0.754703 0.363446i
\(346\) −8.09667 + 2.08987i −0.435279 + 0.112352i
\(347\) 27.2900 21.7631i 1.46500 1.16830i 0.514541 0.857466i \(-0.327962\pi\)
0.950463 0.310837i \(-0.100609\pi\)
\(348\) 2.64660 + 9.17608i 0.141873 + 0.491890i
\(349\) −17.9976 4.10783i −0.963388 0.219887i −0.288231 0.957561i \(-0.593067\pi\)
−0.675157 + 0.737674i \(0.735924\pi\)
\(350\) −23.2584 6.08605i −1.24321 0.325313i
\(351\) 4.25562 0.971316i 0.227148 0.0518450i
\(352\) −1.73230 2.58831i −0.0923318 0.137957i
\(353\) −9.23169 2.10707i −0.491353 0.112148i −0.0303366 0.999540i \(-0.509658\pi\)
−0.461016 + 0.887392i \(0.652515\pi\)
\(354\) −6.38384 2.85542i −0.339298 0.151764i
\(355\) 11.8767 14.8929i 0.630349 0.790432i
\(356\) 12.5762 30.3878i 0.666538 1.61055i
\(357\) −2.06689 + 2.29600i −0.109391 + 0.121517i
\(358\) 0.490716 + 0.949520i 0.0259352 + 0.0501837i
\(359\) −29.5742 6.75012i −1.56087 0.356258i −0.647070 0.762430i \(-0.724006\pi\)
−0.913796 + 0.406173i \(0.866863\pi\)
\(360\) −7.95167 5.30790i −0.419090 0.279751i
\(361\) 14.9223 0.785382
\(362\) 0.0390513 + 1.38435i 0.00205249 + 0.0727596i
\(363\) 6.66939 8.36315i 0.350052 0.438951i
\(364\) 23.0976 + 0.0769492i 1.21064 + 0.00403323i
\(365\) 19.6892 + 24.6894i 1.03058 + 1.29230i
\(366\) 15.8867 13.4192i 0.830409 0.701434i
\(367\) 33.5241 16.1444i 1.74995 0.842729i 0.771498 0.636231i \(-0.219508\pi\)
0.978447 0.206498i \(-0.0662066\pi\)
\(368\) −9.80525 15.5839i −0.511134 0.812369i
\(369\) −4.72023 + 3.76426i −0.245725 + 0.195960i
\(370\) −23.2102 + 19.6053i −1.20664 + 1.01923i
\(371\) −3.26503 7.96424i −0.169512 0.413483i
\(372\) −11.5886 + 16.3431i −0.600841 + 0.847351i
\(373\) 17.6503 0.913897 0.456949 0.889493i \(-0.348942\pi\)
0.456949 + 0.889493i \(0.348942\pi\)
\(374\) 0.908796 0.0256364i 0.0469927 0.00132563i
\(375\) 3.76678 + 3.00391i 0.194516 + 0.155121i
\(376\) 1.71325 12.1756i 0.0883544 0.627909i
\(377\) 9.04362 + 18.7793i 0.465770 + 0.967182i
\(378\) 0.117967 3.73980i 0.00606757 0.192354i
\(379\) −9.25301 + 19.2141i −0.475295 + 0.986960i 0.516158 + 0.856494i \(0.327362\pi\)
−0.991453 + 0.130467i \(0.958352\pi\)
\(380\) 32.1186 + 22.7747i 1.64765 + 1.16832i
\(381\) 0.629373 1.30691i 0.0322438 0.0669549i
\(382\) −13.4127 2.66583i −0.686252 0.136396i
\(383\) 3.95599 1.90511i 0.202142 0.0973464i −0.330074 0.943955i \(-0.607074\pi\)
0.532216 + 0.846609i \(0.321359\pi\)
\(384\) −4.63199 10.3220i −0.236375 0.526745i
\(385\) −2.39738 + 4.30073i −0.122182 + 0.219186i
\(386\) −1.30703 + 6.57612i −0.0665262 + 0.334715i
\(387\) 4.65448 1.06236i 0.236601 0.0540026i
\(388\) −3.47003 + 3.10290i −0.176164 + 0.157526i
\(389\) 7.58757 + 33.2433i 0.384705 + 1.68550i 0.682511 + 0.730876i \(0.260888\pi\)
−0.297806 + 0.954626i \(0.596255\pi\)
\(390\) −19.0474 8.51971i −0.964505 0.431413i
\(391\) 5.37464 0.271807
\(392\) 5.07585 19.1373i 0.256369 0.966579i
\(393\) −13.3904 −0.675456
\(394\) −19.3567 8.65803i −0.975175 0.436185i
\(395\) −3.31236 14.5124i −0.166663 0.730199i
\(396\) −0.820840 + 0.733995i −0.0412487 + 0.0368847i
\(397\) −23.3774 + 5.33573i −1.17328 + 0.267793i −0.764367 0.644782i \(-0.776948\pi\)
−0.408910 + 0.912575i \(0.634091\pi\)
\(398\) 2.10299 10.5808i 0.105413 0.530369i
\(399\) −0.919945 + 15.3821i −0.0460548 + 0.770069i
\(400\) 8.50337 + 24.2540i 0.425168 + 1.21270i
\(401\) 21.4771 10.3428i 1.07251 0.516495i 0.187597 0.982246i \(-0.439930\pi\)
0.884916 + 0.465751i \(0.154216\pi\)
\(402\) −9.68030 1.92400i −0.482810 0.0959606i
\(403\) −18.9722 + 39.3962i −0.945074 + 1.96247i
\(404\) 8.94071 + 6.33969i 0.444817 + 0.315411i
\(405\) −1.46659 + 3.04540i −0.0728754 + 0.151327i
\(406\) 17.5354 3.42455i 0.870267 0.169958i
\(407\) 1.51831 + 3.15280i 0.0752597 + 0.156278i
\(408\) 3.27036 + 0.460179i 0.161907 + 0.0227823i
\(409\) −16.3405 13.0311i −0.807987 0.644349i 0.129807 0.991539i \(-0.458564\pi\)
−0.937795 + 0.347191i \(0.887136\pi\)
\(410\) 28.8488 0.813801i 1.42474 0.0401908i
\(411\) −3.67147 −0.181100
\(412\) −21.1682 + 29.8530i −1.04288 + 1.47075i
\(413\) −6.37025 + 11.4278i −0.313459 + 0.562324i
\(414\) −4.97296 + 4.20059i −0.244408 + 0.206448i
\(415\) 36.1335 28.8155i 1.77372 1.41450i
\(416\) −13.7340 20.5206i −0.673364 1.00611i
\(417\) −20.1871 + 9.72158i −0.988565 + 0.476068i
\(418\) 3.46443 2.92635i 0.169451 0.143133i
\(419\) 17.3511 + 21.7576i 0.847658 + 1.06293i 0.997245 + 0.0741805i \(0.0236341\pi\)
−0.149587 + 0.988749i \(0.547794\pi\)
\(420\) −11.1983 + 13.9466i −0.546420 + 0.680526i
\(421\) 15.9939 20.0558i 0.779497 0.977458i −0.220501 0.975387i \(-0.570769\pi\)
0.999998 0.00207142i \(-0.000659353\pi\)
\(422\) 0.910744 + 32.2853i 0.0443343 + 1.57163i
\(423\) −4.34713 −0.211365
\(424\) −5.10878 + 7.65337i −0.248104 + 0.371681i
\(425\) −7.31438 1.66946i −0.354800 0.0809807i
\(426\) −3.65906 7.08015i −0.177282 0.343035i
\(427\) −22.3978 31.8112i −1.08391 1.53945i
\(428\) 11.4349 27.6299i 0.552725 1.33554i
\(429\) −1.49842 + 1.87897i −0.0723446 + 0.0907173i
\(430\) −20.8327 9.31825i −1.00464 0.449366i
\(431\) −7.48568 1.70856i −0.360573 0.0822984i 0.0383968 0.999263i \(-0.487775\pi\)
−0.398970 + 0.916964i \(0.630632\pi\)
\(432\) −3.38560 + 2.13018i −0.162890 + 0.102489i
\(433\) 15.3050 3.49326i 0.735511 0.167876i 0.161673 0.986844i \(-0.448311\pi\)
0.573838 + 0.818969i \(0.305454\pi\)
\(434\) 28.5530 + 24.2817i 1.37059 + 1.16556i
\(435\) −15.7357 3.59157i −0.754470 0.172203i
\(436\) −5.75810 19.9640i −0.275763 0.956104i
\(437\) 20.9603 16.7153i 1.00267 0.799599i
\(438\) 12.7930 3.30206i 0.611274 0.157779i
\(439\) −17.0841 8.22727i −0.815380 0.392666i −0.0207681 0.999784i \(-0.506611\pi\)
−0.794612 + 0.607118i \(0.792325\pi\)
\(440\) 5.24493 0.444810i 0.250042 0.0212055i
\(441\) −6.95010 0.834302i −0.330957 0.0397286i
\(442\) 7.20511 0.203250i 0.342712 0.00966764i
\(443\) −11.6643 + 24.2211i −0.554186 + 1.15078i 0.416212 + 0.909268i \(0.363357\pi\)
−0.970398 + 0.241511i \(0.922357\pi\)
\(444\) 3.52273 + 12.2137i 0.167182 + 0.579638i
\(445\) 34.6548 + 43.4557i 1.64279 + 2.06000i
\(446\) −0.255790 0.990994i −0.0121120 0.0469249i
\(447\) 1.70173 7.45577i 0.0804891 0.352646i
\(448\) −19.9972 + 6.93624i −0.944780 + 0.327706i
\(449\) −2.02422 8.86867i −0.0955287 0.418539i 0.904439 0.426603i \(-0.140290\pi\)
−0.999967 + 0.00806489i \(0.997433\pi\)
\(450\) 8.07251 4.17191i 0.380542 0.196666i
\(451\) 0.739668 3.24070i 0.0348296 0.152598i
\(452\) 1.54209 + 0.638206i 0.0725338 + 0.0300187i
\(453\) 0.701173 + 0.559167i 0.0329440 + 0.0262720i
\(454\) 36.4265 + 16.2932i 1.70958 + 0.764677i
\(455\) −19.0069 + 34.0970i −0.891057 + 1.59849i
\(456\) 14.1851 8.37627i 0.664277 0.392255i
\(457\) −1.10193 + 4.82786i −0.0515460 + 0.225838i −0.994140 0.108104i \(-0.965522\pi\)
0.942594 + 0.333942i \(0.108379\pi\)
\(458\) 7.61223 + 5.72698i 0.355696 + 0.267604i
\(459\) 1.16764i 0.0545007i
\(460\) 31.0681 1.75421i 1.44856 0.0817905i
\(461\) −24.5902 19.6100i −1.14528 0.913329i −0.148142 0.988966i \(-0.547329\pi\)
−0.997135 + 0.0756375i \(0.975901\pi\)
\(462\) 1.23301 + 1.65031i 0.0573647 + 0.0767796i
\(463\) −10.5684 + 8.42802i −0.491155 + 0.391683i −0.837511 0.546420i \(-0.815990\pi\)
0.346356 + 0.938103i \(0.387419\pi\)
\(464\) −13.5141 13.4977i −0.627377 0.626616i
\(465\) −14.6914 30.5070i −0.681297 1.41473i
\(466\) 17.3365 8.95960i 0.803099 0.415045i
\(467\) 6.75162 + 8.46626i 0.312428 + 0.391772i 0.913108 0.407717i \(-0.133675\pi\)
−0.600681 + 0.799489i \(0.705104\pi\)
\(468\) −6.50777 + 5.81926i −0.300822 + 0.268995i
\(469\) −5.17607 + 17.7241i −0.239009 + 0.818423i
\(470\) 16.6056 + 12.4931i 0.765960 + 0.576262i
\(471\) 20.9462i 0.965148i
\(472\) 13.9367 1.18194i 0.641487 0.0544030i
\(473\) −1.63887 + 2.05508i −0.0753552 + 0.0944925i
\(474\) −6.10850 1.21409i −0.280573 0.0557651i
\(475\) −33.7170 + 16.2373i −1.54704 + 0.745017i
\(476\) 1.39492 6.01904i 0.0639360 0.275882i
\(477\) 2.93116 + 1.41157i 0.134208 + 0.0646314i
\(478\) −11.6562 8.76942i −0.533142 0.401104i
\(479\) −4.04149 1.94628i −0.184660 0.0889278i 0.339269 0.940689i \(-0.389820\pi\)
−0.523930 + 0.851762i \(0.675535\pi\)
\(480\) 19.0545 + 1.59266i 0.869716 + 0.0726948i
\(481\) 12.0374 + 24.9960i 0.548859 + 1.13972i
\(482\) −11.6702 + 3.01226i −0.531565 + 0.137205i
\(483\) 7.01114 + 9.95778i 0.319018 + 0.453095i
\(484\) −3.57718 + 21.0926i −0.162599 + 0.958752i
\(485\) −1.75064 7.67005i −0.0794924 0.348279i
\(486\) 0.912575 + 1.08037i 0.0413952 + 0.0490067i
\(487\) −25.4459 + 5.80787i −1.15307 + 0.263180i −0.755975 0.654600i \(-0.772837\pi\)
−0.397090 + 0.917780i \(0.629980\pi\)
\(488\) −14.8147 + 38.8635i −0.670630 + 1.75927i
\(489\) 14.9052i 0.674038i
\(490\) 24.1510 + 23.1606i 1.09103 + 1.04629i
\(491\) 38.7103i 1.74697i −0.486851 0.873485i \(-0.661854\pi\)
0.486851 0.873485i \(-0.338146\pi\)
\(492\) 4.61744 11.1571i 0.208170 0.503000i
\(493\) 5.43576 1.24068i 0.244814 0.0558772i
\(494\) 27.4667 23.2007i 1.23578 1.04385i
\(495\) −0.414115 1.81436i −0.0186131 0.0815493i
\(496\) 4.46219 39.8204i 0.200358 1.78799i
\(497\) −13.7958 + 5.65573i −0.618825 + 0.253694i
\(498\) −4.83263 18.7228i −0.216556 0.838990i
\(499\) −5.04666 10.4795i −0.225920 0.469127i 0.756940 0.653485i \(-0.226694\pi\)
−0.982859 + 0.184358i \(0.940979\pi\)
\(500\) −9.50013 1.61117i −0.424859 0.0720537i
\(501\) 10.3510 + 4.98477i 0.462448 + 0.222703i
\(502\) 9.13865 12.1470i 0.407878 0.542146i
\(503\) 4.33690 + 2.08854i 0.193373 + 0.0931235i 0.528065 0.849204i \(-0.322918\pi\)
−0.334692 + 0.942328i \(0.608632\pi\)
\(504\) 3.41355 + 6.65941i 0.152052 + 0.296634i
\(505\) −16.6892 + 8.03712i −0.742662 + 0.357647i
\(506\) 0.698676 3.51527i 0.0310600 0.156273i
\(507\) −3.77443 + 4.73299i −0.167628 + 0.210199i
\(508\) 0.163546 + 2.89650i 0.00725619 + 0.128511i
\(509\) 5.99123i 0.265557i 0.991146 + 0.132778i \(0.0423898\pi\)
−0.991146 + 0.132778i \(0.957610\pi\)
\(510\) −3.35563 + 4.46026i −0.148590 + 0.197504i
\(511\) −4.05180 24.3836i −0.179241 1.07867i
\(512\) 18.0981 + 13.5815i 0.799831 + 0.600225i
\(513\) −3.63138 4.55361i −0.160329 0.201047i
\(514\) 0.666388 + 1.28944i 0.0293931 + 0.0568747i
\(515\) −26.8359 55.7253i −1.18253 2.45555i
\(516\) −7.11773 + 6.36468i −0.313341 + 0.280189i
\(517\) 1.87125 1.49227i 0.0822975 0.0656301i
\(518\) 23.3403 4.55822i 1.02551 0.200277i
\(519\) −4.62285 3.68660i −0.202921 0.161824i
\(520\) 41.5828 3.52654i 1.82353 0.154649i
\(521\) 25.4917i 1.11681i −0.829568 0.558406i \(-0.811413\pi\)
0.829568 0.558406i \(-0.188587\pi\)
\(522\) −4.05985 + 5.39630i −0.177695 + 0.236190i
\(523\) 0.655041 2.86992i 0.0286429 0.125493i −0.958585 0.284806i \(-0.908071\pi\)
0.987228 + 0.159313i \(0.0509279\pi\)
\(524\) 23.4352 12.9615i 1.02377 0.566225i
\(525\) −6.44844 15.7294i −0.281433 0.686487i
\(526\) 7.02913 15.7150i 0.306485 0.685205i
\(527\) 9.14485 + 7.29277i 0.398356 + 0.317678i
\(528\) 0.726110 2.07915i 0.0315999 0.0904835i
\(529\) −0.403289 + 1.76692i −0.0175343 + 0.0768228i
\(530\) −7.14007 13.8158i −0.310145 0.600120i
\(531\) −1.10038 4.82106i −0.0477522 0.209216i
\(532\) −13.2794 27.8115i −0.575734 1.20578i
\(533\) 5.86423 25.6929i 0.254008 1.11288i
\(534\) 22.5169 5.81193i 0.974401 0.251507i
\(535\) 31.5097 + 39.5119i 1.36228 + 1.70825i
\(536\) 18.8044 6.00293i 0.812226 0.259287i
\(537\) −0.327918 + 0.680929i −0.0141507 + 0.0293843i
\(538\) −0.941057 33.3599i −0.0405718 1.43825i
\(539\) 3.27811 2.02668i 0.141198 0.0872954i
\(540\) −0.381101 6.74953i −0.0164000 0.290454i
\(541\) 9.41642 + 4.53471i 0.404844 + 0.194962i 0.625213 0.780454i \(-0.285012\pi\)
−0.220370 + 0.975416i \(0.570726\pi\)
\(542\) 4.70564 + 18.2308i 0.202125 + 0.783081i
\(543\) −0.765624 + 0.610564i −0.0328561 + 0.0262018i
\(544\) −6.16907 + 2.36023i −0.264497 + 0.101194i
\(545\) 34.2356 + 7.81404i 1.46649 + 0.334717i
\(546\) 9.77552 + 13.0840i 0.418354 + 0.559944i
\(547\) 40.4138 9.22419i 1.72797 0.394398i 0.760892 0.648878i \(-0.224762\pi\)
0.967078 + 0.254480i \(0.0819044\pi\)
\(548\) 6.42564 3.55387i 0.274490 0.151814i
\(549\) 14.3361 + 3.27212i 0.611850 + 0.139651i
\(550\) −2.04274 + 4.56694i −0.0871027 + 0.194735i
\(551\) 17.3401 21.7438i 0.738712 0.926316i
\(552\) 4.63741 12.1653i 0.197381 0.517791i
\(553\) −3.26622 + 11.1843i −0.138894 + 0.475606i
\(554\) 11.7481 6.07148i 0.499130 0.257953i
\(555\) −20.9449 4.78053i −0.889061 0.202922i
\(556\) 25.9203 36.5547i 1.09926 1.55026i
\(557\) −28.1240 −1.19165 −0.595827 0.803113i \(-0.703175\pi\)
−0.595827 + 0.803113i \(0.703175\pi\)
\(558\) −14.1611 + 0.399474i −0.599488 + 0.0169111i
\(559\) −12.9933 + 16.2930i −0.549556 + 0.689122i
\(560\) 6.09880 35.2483i 0.257721 1.48951i
\(561\) 0.400824 + 0.502617i 0.0169228 + 0.0212205i
\(562\) 2.00048 + 2.36832i 0.0843853 + 0.0999015i
\(563\) −29.1757 + 14.0503i −1.22961 + 0.592149i −0.931972 0.362531i \(-0.881913\pi\)
−0.297637 + 0.954679i \(0.596199\pi\)
\(564\) 7.60815 4.20789i 0.320361 0.177184i
\(565\) −2.20525 + 1.75863i −0.0927755 + 0.0739860i
\(566\) −19.2933 22.8408i −0.810956 0.960069i
\(567\) 2.16332 1.52317i 0.0908510 0.0639670i
\(568\) 13.2573 + 8.84950i 0.556263 + 0.371317i
\(569\) −44.7745 −1.87705 −0.938523 0.345218i \(-0.887805\pi\)
−0.938523 + 0.345218i \(0.887805\pi\)
\(570\) 0.785074 + 27.8304i 0.0328831 + 1.16569i
\(571\) 16.9590 + 13.5244i 0.709712 + 0.565977i 0.910425 0.413673i \(-0.135754\pi\)
−0.200713 + 0.979650i \(0.564326\pi\)
\(572\) 0.803692 4.73891i 0.0336041 0.198144i
\(573\) −4.19553 8.71210i −0.175271 0.363953i
\(574\) −20.0337 10.4382i −0.836189 0.435682i
\(575\) −12.8325 + 26.6470i −0.535153 + 1.11126i
\(576\) 3.86337 7.00531i 0.160974 0.291888i
\(577\) −7.57248 + 15.7244i −0.315246 + 0.654616i −0.997036 0.0769320i \(-0.975488\pi\)
0.681790 + 0.731548i \(0.261202\pi\)
\(578\) −4.31084 + 21.6893i −0.179307 + 0.902155i
\(579\) −4.27147 + 2.05703i −0.177516 + 0.0854873i
\(580\) 31.0164 8.94588i 1.28789 0.371458i
\(581\) −35.6859 + 5.92989i −1.48050 + 0.246013i
\(582\) −3.22844 0.641667i −0.133823 0.0265980i
\(583\) −1.74630 + 0.398580i −0.0723242 + 0.0165075i
\(584\) −19.1934 + 18.1624i −0.794230 + 0.751564i
\(585\) −3.28319 14.3846i −0.135743 0.594729i
\(586\) 1.37440 3.07273i 0.0567759 0.126933i
\(587\) 20.2440 0.835557 0.417779 0.908549i \(-0.362809\pi\)
0.417779 + 0.908549i \(0.362809\pi\)
\(588\) 12.9713 5.26733i 0.534928 0.217221i
\(589\) 58.3442 2.40403
\(590\) −9.65173 + 21.5783i −0.397356 + 0.888364i
\(591\) −3.33649 14.6181i −0.137245 0.601309i
\(592\) −17.9878 17.9660i −0.739296 0.738398i
\(593\) 12.4525 2.84220i 0.511362 0.116715i 0.0409487 0.999161i \(-0.486962\pi\)
0.470413 + 0.882446i \(0.344105\pi\)
\(594\) −0.763691 0.151787i −0.0313346 0.00622790i
\(595\) 7.76080 + 6.98638i 0.318162 + 0.286414i
\(596\) 4.23866 + 14.6960i 0.173622 + 0.601970i
\(597\) 6.87270 3.30972i 0.281281 0.135458i
\(598\) 5.53924 27.8698i 0.226516 1.13968i
\(599\) 1.67833 3.48509i 0.0685747 0.142397i −0.863864 0.503725i \(-0.831962\pi\)
0.932439 + 0.361328i \(0.117677\pi\)
\(600\) −10.0899 + 15.1154i −0.411916 + 0.617085i
\(601\) 4.60580 9.56405i 0.187875 0.390126i −0.785662 0.618656i \(-0.787678\pi\)
0.973537 + 0.228530i \(0.0733919\pi\)
\(602\) 10.6918 + 14.3103i 0.435764 + 0.583246i
\(603\) −3.02803 6.28777i −0.123311 0.256058i
\(604\) −1.76842 0.299914i −0.0719559 0.0122033i
\(605\) −28.2686 22.5435i −1.14928 0.916522i
\(606\) 0.218537 + 7.74701i 0.00887747 + 0.314701i
\(607\) −32.2315 −1.30824 −0.654119 0.756392i \(-0.726960\pi\)
−0.654119 + 0.756392i \(0.726960\pi\)
\(608\) −16.7181 + 28.3905i −0.678007 + 1.15139i
\(609\) 9.38951 + 8.45257i 0.380482 + 0.342515i
\(610\) −45.3589 53.6992i −1.83653 2.17422i
\(611\) 14.8356 11.8310i 0.600185 0.478632i
\(612\) 1.13024 + 2.04355i 0.0456872 + 0.0826054i
\(613\) −23.7881 + 11.4557i −0.960791 + 0.462693i −0.847457 0.530864i \(-0.821867\pi\)
−0.113334 + 0.993557i \(0.536153\pi\)
\(614\) 6.14821 + 7.27870i 0.248121 + 0.293744i
\(615\) 12.7237 + 15.9551i 0.513070 + 0.643370i
\(616\) −3.75541 1.69479i −0.151310 0.0682850i
\(617\) 23.3158 29.2371i 0.938658 1.17704i −0.0453600 0.998971i \(-0.514443\pi\)
0.984018 0.178069i \(-0.0569851\pi\)
\(618\) −25.8673 + 0.729695i −1.04053 + 0.0293526i
\(619\) −30.3215 −1.21872 −0.609362 0.792892i \(-0.708574\pi\)
−0.609362 + 0.792892i \(0.708574\pi\)
\(620\) 55.2420 + 39.1711i 2.21857 + 1.57315i
\(621\) −4.48760 1.02426i −0.180081 0.0411023i
\(622\) 12.2345 6.32285i 0.490559 0.253523i
\(623\) −7.13154 42.9174i −0.285719 1.71945i
\(624\) 5.75674 16.4839i 0.230454 0.659885i
\(625\) −9.87708 + 12.3855i −0.395083 + 0.495419i
\(626\) −7.46165 + 16.6819i −0.298227 + 0.666744i
\(627\) 3.12630 + 0.713557i 0.124852 + 0.0284967i
\(628\) 20.2752 + 36.6590i 0.809070 + 1.46285i
\(629\) 7.23521 1.65139i 0.288487 0.0658452i
\(630\) −12.6410 0.398745i −0.503631 0.0158864i
\(631\) −6.16689 1.40755i −0.245500 0.0560338i 0.0980001 0.995186i \(-0.468755\pi\)
−0.343500 + 0.939153i \(0.611613\pi\)
\(632\) 11.8660 3.78799i 0.472005 0.150678i
\(633\) −17.8557 + 14.2394i −0.709699 + 0.565966i
\(634\) 1.07856 + 4.17859i 0.0428349 + 0.165953i
\(635\) −4.41753 2.12737i −0.175304 0.0844221i
\(636\) −6.49633 + 0.366805i −0.257596 + 0.0145448i
\(637\) 25.9895 16.0679i 1.02974 0.636634i
\(638\) −0.104840 3.71653i −0.00415067 0.147139i
\(639\) 2.44514 5.07739i 0.0967284 0.200858i
\(640\) −34.8900 + 15.6568i −1.37915 + 0.618889i
\(641\) −26.7560 33.5510i −1.05680 1.32518i −0.943409 0.331633i \(-0.892401\pi\)
−0.113390 0.993551i \(-0.536171\pi\)
\(642\) 20.4734 5.28448i 0.808020 0.208562i
\(643\) 5.61964 24.6213i 0.221617 0.970968i −0.734644 0.678453i \(-0.762651\pi\)
0.956261 0.292515i \(-0.0944921\pi\)
\(644\) −21.9094 10.6411i −0.863351 0.419317i
\(645\) −3.59091 15.7328i −0.141392 0.619479i
\(646\) −4.41559 8.54402i −0.173729 0.336160i
\(647\) −4.51770 + 19.7933i −0.177609 + 0.778156i 0.805121 + 0.593110i \(0.202100\pi\)
−0.982730 + 0.185045i \(0.940757\pi\)
\(648\) −2.64291 1.00747i −0.103823 0.0395773i
\(649\) 2.12862 + 1.69752i 0.0835558 + 0.0666335i
\(650\) −16.1952 + 36.2075i −0.635229 + 1.42018i
\(651\) −1.58225 + 26.4563i −0.0620132 + 1.03690i
\(652\) 14.4278 + 26.0864i 0.565036 + 1.02162i
\(653\) −2.04162 + 8.94493i −0.0798948 + 0.350042i −0.999037 0.0438848i \(-0.986027\pi\)
0.919142 + 0.393927i \(0.128884\pi\)
\(654\) 8.83286 11.7405i 0.345392 0.459091i
\(655\) 45.2614i 1.76851i
\(656\) 2.71847 + 23.9961i 0.106138 + 0.936891i
\(657\) 7.30427 + 5.82496i 0.284967 + 0.227253i
\(658\) −6.59179 14.8699i −0.256975 0.579690i
\(659\) −34.8708 + 27.8085i −1.35837 + 1.08327i −0.370360 + 0.928888i \(0.620766\pi\)
−0.988012 + 0.154377i \(0.950663\pi\)
\(660\) 2.48101 + 2.77455i 0.0965731 + 0.107999i
\(661\) 11.4906 + 23.8605i 0.446933 + 0.928066i 0.995748 + 0.0921223i \(0.0293651\pi\)
−0.548814 + 0.835944i \(0.684921\pi\)
\(662\) −13.3647 25.8602i −0.519433 1.00509i
\(663\) 3.17781 + 3.98484i 0.123416 + 0.154758i
\(664\) 26.5810 + 28.0900i 1.03154 + 1.09010i
\(665\) 51.9937 + 3.10954i 2.01623 + 0.120583i
\(666\) −5.40383 + 7.18270i −0.209394 + 0.278324i
\(667\) 21.9796i 0.851055i
\(668\) −22.9409 + 1.29532i −0.887610 + 0.0501175i
\(669\) 0.451223 0.565815i 0.0174453 0.0218757i
\(670\) −6.50341 + 32.7208i −0.251248 + 1.26411i
\(671\) −7.29431 + 3.51276i −0.281594 + 0.135608i
\(672\) −12.4203 8.35077i −0.479125 0.322138i
\(673\) 18.8787 + 9.09149i 0.727719 + 0.350451i 0.760787 0.649002i \(-0.224813\pi\)
−0.0330674 + 0.999453i \(0.510528\pi\)
\(674\) −1.63716 + 2.17609i −0.0630611 + 0.0838200i
\(675\) 5.78904 + 2.78786i 0.222820 + 0.107305i
\(676\) 2.02445 11.9370i 0.0778633 0.459115i
\(677\) −17.8086 36.9800i −0.684442 1.42126i −0.896072 0.443909i \(-0.853591\pi\)
0.211630 0.977350i \(-0.432123\pi\)
\(678\) 0.294939 + 1.14267i 0.0113270 + 0.0438838i
\(679\) −1.72625 + 5.91109i −0.0662475 + 0.226847i
\(680\) 1.55547 11.0543i 0.0596496 0.423912i
\(681\) 6.27880 + 27.5092i 0.240604 + 1.05416i
\(682\) 5.95861 5.03314i 0.228167 0.192729i
\(683\) −10.2990 + 2.35069i −0.394081 + 0.0899465i −0.414969 0.909835i \(-0.636208\pi\)
0.0208882 + 0.999782i \(0.493351\pi\)
\(684\) 10.7632 + 4.45444i 0.411542 + 0.170320i
\(685\) 12.4101i 0.474165i
\(686\) −7.68498 25.0388i −0.293414 0.955986i
\(687\) 6.73588i 0.256990i
\(688\) 6.29630 18.0289i 0.240044 0.687346i
\(689\) −13.8450 + 3.16002i −0.527451 + 0.120387i
\(690\) 14.1986 + 16.8093i 0.540530 + 0.639920i
\(691\) −4.37600 19.1725i −0.166471 0.729357i −0.987389 0.158311i \(-0.949395\pi\)
0.820918 0.571046i \(-0.193462\pi\)
\(692\) 11.6592 + 1.97734i 0.443217 + 0.0751671i
\(693\) −0.408347 + 1.39828i −0.0155118 + 0.0531161i
\(694\) −47.7969 + 12.3371i −1.81435 + 0.468309i
\(695\) 32.8603 + 68.2351i 1.24646 + 2.58831i
\(696\) 1.88191 13.3742i 0.0713335 0.506947i
\(697\) −6.35138 3.05866i −0.240576 0.115855i
\(698\) 20.8621 + 15.6954i 0.789643 + 0.594079i
\(699\) 12.4325 + 5.98720i 0.470242 + 0.226457i
\(700\) 26.5113 + 21.2870i 1.00203 + 0.804571i
\(701\) 8.73891 4.20844i 0.330064 0.158951i −0.261511 0.965201i \(-0.584221\pi\)
0.591575 + 0.806250i \(0.298506\pi\)
\(702\) −6.05469 1.20340i −0.228520 0.0454193i
\(703\) 23.0803 28.9418i 0.870492 1.09156i
\(704\) 0.741752 + 4.34169i 0.0279558 + 0.163633i
\(705\) 14.6939i 0.553405i
\(706\) 10.7010 + 8.05081i 0.402739 + 0.302996i
\(707\) 14.4732 + 0.865588i 0.544322 + 0.0325538i
\(708\) 6.59246 + 7.37247i 0.247760 + 0.277074i
\(709\) −10.8937 13.6603i −0.409122 0.513023i 0.533993 0.845489i \(-0.320691\pi\)
−0.943115 + 0.332466i \(0.892119\pi\)
\(710\) −23.9319 + 12.3681i −0.898149 + 0.464167i
\(711\) −1.91076 3.96773i −0.0716590 0.148802i
\(712\) −33.7822 + 31.9674i −1.26604 + 1.19803i
\(713\) 36.0503 28.7492i 1.35010 1.07667i
\(714\) 3.99405 1.77055i 0.149474 0.0662612i
\(715\) 6.35117 + 5.06489i 0.237520 + 0.189416i
\(716\) −0.0852115 1.50915i −0.00318450 0.0563994i
\(717\) 10.3143i 0.385195i
\(718\) 34.2813 + 25.7912i 1.27937 + 0.962519i
\(719\) −0.123450 + 0.540869i −0.00460390 + 0.0201710i −0.977178 0.212424i \(-0.931864\pi\)
0.972574 + 0.232595i \(0.0747215\pi\)
\(720\) 7.20032 + 11.4438i 0.268340 + 0.426486i
\(721\) −2.89020 + 48.3261i −0.107637 + 1.79976i
\(722\) −19.2640 8.61658i −0.716932 0.320676i
\(723\) −6.66321 5.31373i −0.247807 0.197620i
\(724\) 0.748951 1.80968i 0.0278345 0.0672563i
\(725\) −6.82727 + 29.9122i −0.253558 + 1.11091i
\(726\) −13.4390 + 6.94536i −0.498770 + 0.257766i
\(727\) −3.00169 13.1512i −0.111326 0.487753i −0.999596 0.0284299i \(-0.990949\pi\)
0.888269 0.459323i \(-0.151908\pi\)
\(728\) −29.7736 13.4366i −1.10348 0.497994i
\(729\) −0.222521 + 0.974928i −0.00824152 + 0.0361084i
\(730\) −11.1614 43.2422i −0.413103 1.60047i
\(731\) 3.47565 + 4.35833i 0.128552 + 0.161199i
\(732\) −28.2577 + 8.15020i −1.04443 + 0.301240i
\(733\) 22.1890 46.0760i 0.819571 1.70186i 0.113700 0.993515i \(-0.463730\pi\)
0.705870 0.708341i \(-0.250556\pi\)
\(734\) −52.6005 + 1.48382i −1.94152 + 0.0547688i
\(735\) −2.82006 + 23.4923i −0.104019 + 0.866528i
\(736\) 3.65950 + 25.7801i 0.134891 + 0.950266i
\(737\) 3.46188 + 1.66715i 0.127520 + 0.0614104i
\(738\) 8.26722 2.13389i 0.304321 0.0785496i
\(739\) −8.89435 + 7.09300i −0.327184 + 0.260920i −0.773280 0.634065i \(-0.781385\pi\)
0.446096 + 0.894985i \(0.352814\pi\)
\(740\) 41.2841 11.9073i 1.51764 0.437722i
\(741\) 24.7859 + 5.65722i 0.910533 + 0.207823i
\(742\) −0.383787 + 12.1668i −0.0140892 + 0.446658i
\(743\) 19.7728 4.51301i 0.725393 0.165566i 0.156147 0.987734i \(-0.450093\pi\)
0.569246 + 0.822168i \(0.307235\pi\)
\(744\) 24.3974 14.4067i 0.894453 0.528174i
\(745\) −25.2015 5.75209i −0.923313 0.210740i
\(746\) −22.7858 10.1918i −0.834247 0.373149i
\(747\) 8.52494 10.6899i 0.311911 0.391124i
\(748\) −1.18802 0.491672i −0.0434383 0.0179773i
\(749\) −6.48432 39.0224i −0.236932 1.42585i
\(750\) −3.12821 6.05298i −0.114226 0.221023i
\(751\) −28.2892 6.45682i −1.03229 0.235613i −0.327365 0.944898i \(-0.606161\pi\)
−0.704921 + 0.709285i \(0.749018\pi\)
\(752\) −9.24232 + 14.7289i −0.337033 + 0.537108i
\(753\) 10.7486 0.391700
\(754\) −0.831194 29.4653i −0.0302703 1.07306i
\(755\) 1.89006 2.37006i 0.0687864 0.0862555i
\(756\) −2.31177 + 4.75980i −0.0840781 + 0.173112i
\(757\) −23.3651 29.2990i −0.849220 1.06489i −0.997117 0.0758858i \(-0.975822\pi\)
0.147896 0.989003i \(-0.452750\pi\)
\(758\) 23.0400 19.4616i 0.836852 0.706876i
\(759\) 2.28332 1.09959i 0.0828793 0.0399125i
\(760\) −28.3130 47.9475i −1.02702 1.73924i
\(761\) −8.23162 + 6.56450i −0.298396 + 0.237963i −0.761230 0.648482i \(-0.775404\pi\)
0.462834 + 0.886445i \(0.346833\pi\)
\(762\) −1.56714 + 1.32374i −0.0567716 + 0.0479541i
\(763\) −20.4284 18.3899i −0.739557 0.665759i
\(764\) 15.7759 + 11.1864i 0.570751 + 0.404709i
\(765\) −3.94678 −0.142696
\(766\) −6.20709 + 0.175097i −0.224271 + 0.00632652i
\(767\) 16.8761 + 13.4583i 0.609362 + 0.485950i
\(768\) 0.0194322 + 16.0000i 0.000701198 + 0.577350i
\(769\) 16.4884 + 34.2386i 0.594588 + 1.23467i 0.953525 + 0.301313i \(0.0974250\pi\)
−0.358937 + 0.933362i \(0.616861\pi\)
\(770\) 5.57829 4.16774i 0.201028 0.150195i
\(771\) −0.445310 + 0.924695i −0.0160374 + 0.0333021i