Properties

Label 114.2.l.b.53.2
Level $114$
Weight $2$
Character 114.53
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 53.2
Root \(-0.396613 - 1.68603i\) of defining polynomial
Character \(\chi\) \(=\) 114.53
Dual form 114.2.l.b.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(0.779936 - 1.54651i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.86241 + 2.21954i) q^{5} +(-1.26184 + 1.18649i) q^{6} +(0.562083 - 0.973556i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.78340 - 2.41236i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(0.779936 - 1.54651i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.86241 + 2.21954i) q^{5} +(-1.26184 + 1.18649i) q^{6} +(0.562083 - 0.973556i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.78340 - 2.41236i) q^{9} +(-0.990970 - 2.72267i) q^{10} +(2.70920 - 1.56416i) q^{11} +(1.59154 - 0.683364i) q^{12} +(-5.18404 - 0.914087i) q^{13} +(-0.861160 + 0.722599i) q^{14} +(4.88511 - 1.14915i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.880484 + 2.41911i) q^{17} +(0.850771 + 2.87684i) q^{18} +(4.13617 + 1.37554i) q^{19} +2.89740i q^{20} +(-1.06723 - 1.62858i) q^{21} +(-3.08079 + 0.543226i) q^{22} +(-4.31710 + 5.14492i) q^{23} +(-1.72929 + 0.0978116i) q^{24} +(-0.589524 + 3.34336i) q^{25} +(4.55877 + 2.63201i) q^{26} +(-5.12168 + 0.876562i) q^{27} +(1.05637 - 0.384487i) q^{28} +(-1.09635 + 0.399039i) q^{29} +(-4.98353 - 0.590959i) q^{30} +(-3.90801 - 2.25629i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-0.305986 - 5.40975i) q^{33} +(1.65477 - 1.97208i) q^{34} +(3.20767 - 0.565599i) q^{35} +(0.184473 - 2.99432i) q^{36} +12.0703i q^{37} +(-3.41626 - 2.70724i) q^{38} +(-5.45687 + 7.30426i) q^{39} +(0.990970 - 2.72267i) q^{40} +(-1.06170 - 6.02118i) q^{41} +(0.445859 + 1.89538i) q^{42} +(2.21295 - 1.85688i) q^{43} +(3.08079 + 0.543226i) q^{44} +(2.03290 - 8.45114i) q^{45} +(5.81642 - 3.35811i) q^{46} +(0.377793 + 1.03798i) q^{47} +(1.65845 + 0.499538i) q^{48} +(2.86813 + 4.96774i) q^{49} +(1.69747 - 2.94010i) q^{50} +(3.05446 + 3.24843i) q^{51} +(-3.38365 - 4.03247i) q^{52} +(-5.66806 - 4.75606i) q^{53} +(5.11261 + 0.928020i) q^{54} +(8.51736 + 3.10007i) q^{55} -1.12417 q^{56} +(5.35324 - 5.32380i) q^{57} +1.16671 q^{58} +(6.41833 + 2.33608i) q^{59} +(4.48087 + 2.25979i) q^{60} +(-5.58223 - 4.68405i) q^{61} +(2.90063 + 3.45684i) q^{62} +(-3.35099 + 0.380292i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-7.62598 - 13.2086i) q^{65} +(-1.56271 + 5.18816i) q^{66} +(-2.42040 - 6.64999i) q^{67} +(-2.22946 + 1.28718i) q^{68} +(4.58962 + 10.6892i) q^{69} +(-3.20767 - 0.565599i) q^{70} +(3.31294 - 2.77989i) q^{71} +(-1.19747 + 2.75065i) q^{72} +(-1.30735 - 7.41438i) q^{73} +(4.12829 - 11.3424i) q^{74} +(4.71075 + 3.51931i) q^{75} +(2.28431 + 3.71240i) q^{76} -3.51674i q^{77} +(7.62598 - 4.99740i) q^{78} +(4.30920 - 0.759829i) q^{79} +(-1.86241 + 2.21954i) q^{80} +(-2.63897 + 8.60441i) q^{81} +(-1.06170 + 6.02118i) q^{82} +(-12.5112 - 7.22333i) q^{83} +(0.229287 - 1.93356i) q^{84} +(-7.00913 + 2.55111i) q^{85} +(-2.71458 + 0.988026i) q^{86} +(-0.237965 + 2.00675i) q^{87} +(-2.70920 - 1.56416i) q^{88} +(-2.38095 + 13.5030i) q^{89} +(-4.80076 + 7.24618i) q^{90} +(-3.80378 + 4.53316i) q^{91} +(-6.61418 + 1.16626i) q^{92} +(-6.53737 + 4.28402i) q^{93} -1.10459i q^{94} +(4.65018 + 11.7422i) q^{95} +(-1.38758 - 1.03664i) q^{96} +(-1.47287 + 4.04669i) q^{97} +(-0.996090 - 5.64911i) q^{98} +(-8.60490 - 3.74605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) 0.779936 1.54651i 0.450296 0.892879i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 1.86241 + 2.21954i 0.832897 + 0.992608i 0.999978 + 0.00666440i \(0.00212136\pi\)
−0.167081 + 0.985943i \(0.553434\pi\)
\(6\) −1.26184 + 1.18649i −0.515143 + 0.484383i
\(7\) 0.562083 0.973556i 0.212447 0.367969i −0.740033 0.672571i \(-0.765190\pi\)
0.952480 + 0.304602i \(0.0985233\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −1.78340 2.41236i −0.594467 0.804120i
\(10\) −0.990970 2.72267i −0.313372 0.860983i
\(11\) 2.70920 1.56416i 0.816855 0.471611i −0.0324759 0.999473i \(-0.510339\pi\)
0.849331 + 0.527861i \(0.177006\pi\)
\(12\) 1.59154 0.683364i 0.459439 0.197270i
\(13\) −5.18404 0.914087i −1.43780 0.253522i −0.600216 0.799838i \(-0.704919\pi\)
−0.837579 + 0.546316i \(0.816030\pi\)
\(14\) −0.861160 + 0.722599i −0.230155 + 0.193123i
\(15\) 4.88511 1.14915i 1.26133 0.296709i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −0.880484 + 2.41911i −0.213549 + 0.586720i −0.999502 0.0315662i \(-0.989951\pi\)
0.785953 + 0.618286i \(0.212173\pi\)
\(18\) 0.850771 + 2.87684i 0.200529 + 0.678077i
\(19\) 4.13617 + 1.37554i 0.948902 + 0.315571i
\(20\) 2.89740i 0.647879i
\(21\) −1.06723 1.62858i −0.232888 0.355385i
\(22\) −3.08079 + 0.543226i −0.656826 + 0.115816i
\(23\) −4.31710 + 5.14492i −0.900178 + 1.07279i 0.0968152 + 0.995302i \(0.469134\pi\)
−0.996993 + 0.0774881i \(0.975310\pi\)
\(24\) −1.72929 + 0.0978116i −0.352989 + 0.0199657i
\(25\) −0.589524 + 3.34336i −0.117905 + 0.668671i
\(26\) 4.55877 + 2.63201i 0.894049 + 0.516179i
\(27\) −5.12168 + 0.876562i −0.985668 + 0.168694i
\(28\) 1.05637 0.384487i 0.199635 0.0726612i
\(29\) −1.09635 + 0.399039i −0.203587 + 0.0740998i −0.441801 0.897113i \(-0.645660\pi\)
0.238214 + 0.971213i \(0.423438\pi\)
\(30\) −4.98353 0.590959i −0.909864 0.107894i
\(31\) −3.90801 2.25629i −0.701899 0.405241i 0.106155 0.994350i \(-0.466146\pi\)
−0.808054 + 0.589108i \(0.799479\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) −0.305986 5.40975i −0.0532653 0.941717i
\(34\) 1.65477 1.97208i 0.283790 0.338208i
\(35\) 3.20767 0.565599i 0.542196 0.0956038i
\(36\) 0.184473 2.99432i 0.0307454 0.499054i
\(37\) 12.0703i 1.98435i 0.124859 + 0.992174i \(0.460152\pi\)
−0.124859 + 0.992174i \(0.539848\pi\)
\(38\) −3.41626 2.70724i −0.554191 0.439173i
\(39\) −5.45687 + 7.30426i −0.873799 + 1.16962i
\(40\) 0.990970 2.72267i 0.156686 0.430491i
\(41\) −1.06170 6.02118i −0.165809 0.940350i −0.948226 0.317595i \(-0.897125\pi\)
0.782417 0.622755i \(-0.213986\pi\)
\(42\) 0.445859 + 1.89538i 0.0687975 + 0.292463i
\(43\) 2.21295 1.85688i 0.337471 0.283172i −0.458265 0.888816i \(-0.651529\pi\)
0.795736 + 0.605644i \(0.207084\pi\)
\(44\) 3.08079 + 0.543226i 0.464446 + 0.0818944i
\(45\) 2.03290 8.45114i 0.303047 1.25982i
\(46\) 5.81642 3.35811i 0.857584 0.495126i
\(47\) 0.377793 + 1.03798i 0.0551068 + 0.151405i 0.964192 0.265206i \(-0.0854400\pi\)
−0.909085 + 0.416611i \(0.863218\pi\)
\(48\) 1.65845 + 0.499538i 0.239377 + 0.0721021i
\(49\) 2.86813 + 4.96774i 0.409732 + 0.709677i
\(50\) 1.69747 2.94010i 0.240058 0.415793i
\(51\) 3.05446 + 3.24843i 0.427710 + 0.454871i
\(52\) −3.38365 4.03247i −0.469227 0.559203i
\(53\) −5.66806 4.75606i −0.778568 0.653296i 0.164320 0.986407i \(-0.447457\pi\)
−0.942887 + 0.333111i \(0.891901\pi\)
\(54\) 5.11261 + 0.928020i 0.695738 + 0.126288i
\(55\) 8.51736 + 3.10007i 1.14848 + 0.418013i
\(56\) −1.12417 −0.150223
\(57\) 5.35324 5.32380i 0.709054 0.705154i
\(58\) 1.16671 0.153197
\(59\) 6.41833 + 2.33608i 0.835596 + 0.304132i 0.724153 0.689639i \(-0.242231\pi\)
0.111442 + 0.993771i \(0.464453\pi\)
\(60\) 4.48087 + 2.25979i 0.578477 + 0.291737i
\(61\) −5.58223 4.68405i −0.714732 0.599731i 0.211191 0.977445i \(-0.432266\pi\)
−0.925922 + 0.377714i \(0.876710\pi\)
\(62\) 2.90063 + 3.45684i 0.368380 + 0.439019i
\(63\) −3.35099 + 0.380292i −0.422184 + 0.0479123i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −7.62598 13.2086i −0.945887 1.63832i
\(66\) −1.56271 + 5.18816i −0.192357 + 0.638618i
\(67\) −2.42040 6.64999i −0.295699 0.812425i −0.995206 0.0977999i \(-0.968819\pi\)
0.699508 0.714625i \(-0.253403\pi\)
\(68\) −2.22946 + 1.28718i −0.270362 + 0.156094i
\(69\) 4.58962 + 10.6892i 0.552525 + 1.28682i
\(70\) −3.20767 0.565599i −0.383390 0.0676021i
\(71\) 3.31294 2.77989i 0.393174 0.329912i −0.424674 0.905346i \(-0.639611\pi\)
0.817848 + 0.575434i \(0.195167\pi\)
\(72\) −1.19747 + 2.75065i −0.141123 + 0.324167i
\(73\) −1.30735 7.41438i −0.153014 0.867787i −0.960579 0.278008i \(-0.910326\pi\)
0.807565 0.589779i \(-0.200785\pi\)
\(74\) 4.12829 11.3424i 0.479904 1.31853i
\(75\) 4.71075 + 3.51931i 0.543950 + 0.406375i
\(76\) 2.28431 + 3.71240i 0.262028 + 0.425842i
\(77\) 3.51674i 0.400770i
\(78\) 7.62598 4.99740i 0.863473 0.565844i
\(79\) 4.30920 0.759829i 0.484823 0.0854874i 0.0741064 0.997250i \(-0.476390\pi\)
0.410717 + 0.911763i \(0.365278\pi\)
\(80\) −1.86241 + 2.21954i −0.208224 + 0.248152i
\(81\) −2.63897 + 8.60441i −0.293219 + 0.956045i
\(82\) −1.06170 + 6.02118i −0.117245 + 0.664928i
\(83\) −12.5112 7.22333i −1.37328 0.792863i −0.381940 0.924187i \(-0.624744\pi\)
−0.991340 + 0.131324i \(0.958077\pi\)
\(84\) 0.229287 1.93356i 0.0250172 0.210969i
\(85\) −7.00913 + 2.55111i −0.760247 + 0.276707i
\(86\) −2.71458 + 0.988026i −0.292721 + 0.106542i
\(87\) −0.237965 + 2.00675i −0.0255125 + 0.215146i
\(88\) −2.70920 1.56416i −0.288802 0.166740i
\(89\) −2.38095 + 13.5030i −0.252380 + 1.43132i 0.550331 + 0.834947i \(0.314502\pi\)
−0.802710 + 0.596369i \(0.796609\pi\)
\(90\) −4.80076 + 7.24618i −0.506045 + 0.763814i
\(91\) −3.80378 + 4.53316i −0.398744 + 0.475205i
\(92\) −6.61418 + 1.16626i −0.689576 + 0.121591i
\(93\) −6.53737 + 4.28402i −0.677894 + 0.444232i
\(94\) 1.10459i 0.113930i
\(95\) 4.65018 + 11.7422i 0.477098 + 1.20473i
\(96\) −1.38758 1.03664i −0.141620 0.105801i
\(97\) −1.47287 + 4.04669i −0.149548 + 0.410879i −0.991735 0.128307i \(-0.959046\pi\)
0.842187 + 0.539186i \(0.181268\pi\)
\(98\) −0.996090 5.64911i −0.100620 0.570646i
\(99\) −8.60490 3.74605i −0.864825 0.376492i
\(100\) −2.60067 + 2.18222i −0.260067 + 0.218222i
\(101\) 5.82418 + 1.02696i 0.579528 + 0.102186i 0.455725 0.890121i \(-0.349380\pi\)
0.123802 + 0.992307i \(0.460491\pi\)
\(102\) −1.75923 4.09721i −0.174189 0.405684i
\(103\) 17.2614 9.96588i 1.70082 0.981967i 0.755884 0.654706i \(-0.227208\pi\)
0.944934 0.327261i \(-0.106126\pi\)
\(104\) 1.80040 + 4.94656i 0.176544 + 0.485050i
\(105\) 1.62707 5.40184i 0.158786 0.527165i
\(106\) 3.69956 + 6.40783i 0.359333 + 0.622383i
\(107\) 2.39183 4.14277i 0.231227 0.400496i −0.726943 0.686698i \(-0.759059\pi\)
0.958169 + 0.286202i \(0.0923927\pi\)
\(108\) −4.48688 2.62067i −0.431750 0.252174i
\(109\) −5.52889 6.58908i −0.529572 0.631119i 0.433244 0.901276i \(-0.357369\pi\)
−0.962816 + 0.270157i \(0.912924\pi\)
\(110\) −6.94341 5.82622i −0.662029 0.555508i
\(111\) 18.6669 + 9.41408i 1.77178 + 0.893545i
\(112\) 1.05637 + 0.384487i 0.0998176 + 0.0363306i
\(113\) 16.1668 1.52085 0.760424 0.649427i \(-0.224991\pi\)
0.760424 + 0.649427i \(0.224991\pi\)
\(114\) −6.85125 + 3.17182i −0.641678 + 0.297068i
\(115\) −19.4596 −1.81462
\(116\) −1.09635 0.399039i −0.101794 0.0370499i
\(117\) 7.04012 + 14.1360i 0.650859 + 1.30687i
\(118\) −5.23227 4.39040i −0.481670 0.404169i
\(119\) 1.86023 + 2.21694i 0.170527 + 0.203226i
\(120\) −3.43774 3.65605i −0.313822 0.333750i
\(121\) −0.606822 + 1.05105i −0.0551656 + 0.0955496i
\(122\) 3.64354 + 6.31080i 0.329871 + 0.571353i
\(123\) −10.1399 3.05421i −0.914282 0.275389i
\(124\) −1.54339 4.24044i −0.138601 0.380802i
\(125\) 4.02747 2.32526i 0.360228 0.207978i
\(126\) 3.27896 + 0.788747i 0.292113 + 0.0702671i
\(127\) 7.59392 + 1.33901i 0.673852 + 0.118818i 0.500095 0.865970i \(-0.333298\pi\)
0.173756 + 0.984789i \(0.444409\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) −1.14573 4.87060i −0.100876 0.428832i
\(130\) 2.64848 + 15.0203i 0.232287 + 1.31736i
\(131\) −0.757267 + 2.08057i −0.0661627 + 0.181781i −0.968368 0.249526i \(-0.919725\pi\)
0.902205 + 0.431307i \(0.141947\pi\)
\(132\) 3.24292 4.34080i 0.282260 0.377818i
\(133\) 3.66404 3.25362i 0.317712 0.282125i
\(134\) 7.07677i 0.611340i
\(135\) −11.4843 9.73525i −0.988407 0.837877i
\(136\) 2.53525 0.447033i 0.217396 0.0383328i
\(137\) 0.138747 0.165352i 0.0118540 0.0141270i −0.760085 0.649824i \(-0.774843\pi\)
0.771939 + 0.635697i \(0.219287\pi\)
\(138\) −0.656924 11.6143i −0.0559211 0.988672i
\(139\) 3.25695 18.4711i 0.276251 1.56670i −0.458710 0.888586i \(-0.651688\pi\)
0.734961 0.678110i \(-0.237201\pi\)
\(140\) 2.82078 + 1.62858i 0.238400 + 0.137640i
\(141\) 1.89990 + 0.225295i 0.160000 + 0.0189732i
\(142\) −4.06393 + 1.47915i −0.341037 + 0.124127i
\(143\) −15.4744 + 5.63222i −1.29403 + 0.470990i
\(144\) 2.06603 2.17521i 0.172169 0.181267i
\(145\) −2.92754 1.69022i −0.243119 0.140365i
\(146\) −1.30735 + 7.41438i −0.108197 + 0.613618i
\(147\) 9.91963 0.561072i 0.818157 0.0462765i
\(148\) −7.75865 + 9.24640i −0.637757 + 0.760050i
\(149\) 4.18590 0.738088i 0.342923 0.0604665i 0.000465272 1.00000i \(-0.499852\pi\)
0.342457 + 0.939533i \(0.388741\pi\)
\(150\) −3.22298 4.91824i −0.263155 0.401573i
\(151\) 8.94139i 0.727640i 0.931469 + 0.363820i \(0.118528\pi\)
−0.931469 + 0.363820i \(0.881472\pi\)
\(152\) −0.876827 4.26980i −0.0711201 0.346326i
\(153\) 7.40602 2.19019i 0.598741 0.177067i
\(154\) −1.20280 + 3.30466i −0.0969241 + 0.266297i
\(155\) −2.27041 12.8761i −0.182363 1.03423i
\(156\) −8.87529 + 2.08778i −0.710592 + 0.167156i
\(157\) 1.55311 1.30322i 0.123952 0.104008i −0.578705 0.815537i \(-0.696442\pi\)
0.702656 + 0.711529i \(0.251997\pi\)
\(158\) −4.30920 0.759829i −0.342822 0.0604487i
\(159\) −11.7760 + 5.05629i −0.933900 + 0.400990i
\(160\) 2.50922 1.44870i 0.198371 0.114530i
\(161\) 2.58230 + 7.09481i 0.203514 + 0.559149i
\(162\) 5.42270 7.18292i 0.426048 0.564343i
\(163\) −4.66573 8.08128i −0.365448 0.632975i 0.623400 0.781903i \(-0.285751\pi\)
−0.988848 + 0.148929i \(0.952418\pi\)
\(164\) 3.05703 5.29493i 0.238714 0.413465i
\(165\) 11.4373 10.7543i 0.890391 0.837225i
\(166\) 9.28613 + 11.0668i 0.720744 + 0.858949i
\(167\) 9.70512 + 8.14356i 0.751005 + 0.630168i 0.935768 0.352615i \(-0.114708\pi\)
−0.184764 + 0.982783i \(0.559152\pi\)
\(168\) −0.876777 + 1.73854i −0.0676448 + 0.134131i
\(169\) 13.8228 + 5.03107i 1.06329 + 0.387006i
\(170\) 7.45896 0.572076
\(171\) −4.05813 12.4311i −0.310333 0.950628i
\(172\) 2.88880 0.220269
\(173\) −8.86150 3.22532i −0.673727 0.245217i −0.0175755 0.999846i \(-0.505595\pi\)
−0.656152 + 0.754629i \(0.727817\pi\)
\(174\) 0.909962 1.80434i 0.0689840 0.136786i
\(175\) 2.92358 + 2.45318i 0.221002 + 0.185443i
\(176\) 2.01084 + 2.39643i 0.151573 + 0.180638i
\(177\) 8.61867 8.10403i 0.647819 0.609137i
\(178\) 6.85566 11.8743i 0.513853 0.890020i
\(179\) −3.74454 6.48573i −0.279880 0.484766i 0.691475 0.722401i \(-0.256961\pi\)
−0.971355 + 0.237634i \(0.923628\pi\)
\(180\) 6.98958 5.16722i 0.520972 0.385142i
\(181\) 5.46326 + 15.0102i 0.406081 + 1.11570i 0.959232 + 0.282618i \(0.0912030\pi\)
−0.553151 + 0.833081i \(0.686575\pi\)
\(182\) 5.12481 2.95881i 0.379876 0.219322i
\(183\) −11.5977 + 4.97973i −0.857329 + 0.368112i
\(184\) 6.61418 + 1.16626i 0.487604 + 0.0859778i
\(185\) −26.7905 + 22.4799i −1.96968 + 1.65276i
\(186\) 7.60834 1.78975i 0.557871 0.131231i
\(187\) 1.39846 + 7.93107i 0.102266 + 0.579977i
\(188\) −0.377793 + 1.03798i −0.0275534 + 0.0757023i
\(189\) −2.02543 + 5.47894i −0.147328 + 0.398534i
\(190\) −0.353668 12.6245i −0.0256577 0.915879i
\(191\) 7.61751i 0.551184i −0.961275 0.275592i \(-0.911126\pi\)
0.961275 0.275592i \(-0.0888738\pi\)
\(192\) 0.949351 + 1.44870i 0.0685135 + 0.104551i
\(193\) 11.8171 2.08368i 0.850616 0.149987i 0.268688 0.963227i \(-0.413410\pi\)
0.581928 + 0.813241i \(0.302299\pi\)
\(194\) 2.76810 3.29889i 0.198738 0.236847i
\(195\) −26.3750 + 1.49182i −1.88875 + 0.106831i
\(196\) −0.996090 + 5.64911i −0.0711493 + 0.403508i
\(197\) 15.2618 + 8.81139i 1.08736 + 0.627786i 0.932871 0.360210i \(-0.117295\pi\)
0.154485 + 0.987995i \(0.450628\pi\)
\(198\) 6.80474 + 6.46319i 0.483592 + 0.459319i
\(199\) −2.12679 + 0.774087i −0.150764 + 0.0548736i −0.416300 0.909227i \(-0.636673\pi\)
0.265536 + 0.964101i \(0.414451\pi\)
\(200\) 3.19019 1.16114i 0.225581 0.0821047i
\(201\) −12.1720 1.44339i −0.858549 0.101809i
\(202\) −5.12170 2.95701i −0.360361 0.208055i
\(203\) −0.227753 + 1.29165i −0.0159851 + 0.0906562i
\(204\) 0.251803 + 4.45181i 0.0176297 + 0.311689i
\(205\) 11.3869 13.5704i 0.795297 0.947798i
\(206\) −19.6290 + 3.46111i −1.36761 + 0.241147i
\(207\) 20.1105 + 1.23896i 1.39778 + 0.0861135i
\(208\) 5.26402i 0.364994i
\(209\) 13.3573 2.74299i 0.923942 0.189737i
\(210\) −3.37649 + 4.51957i −0.233000 + 0.311880i
\(211\) −1.31716 + 3.61886i −0.0906769 + 0.249133i −0.976738 0.214435i \(-0.931209\pi\)
0.886061 + 0.463568i \(0.153431\pi\)
\(212\) −1.28484 7.28671i −0.0882435 0.500454i
\(213\) −1.71525 7.29164i −0.117527 0.499615i
\(214\) −3.66449 + 3.07487i −0.250500 + 0.210194i
\(215\) 8.24284 + 1.45344i 0.562157 + 0.0991235i
\(216\) 3.31997 + 3.99723i 0.225895 + 0.271977i
\(217\) −4.39325 + 2.53644i −0.298233 + 0.172185i
\(218\) 2.94186 + 8.08270i 0.199248 + 0.547429i
\(219\) −12.4861 3.76090i −0.843731 0.254138i
\(220\) 4.53199 + 7.84964i 0.305547 + 0.529223i
\(221\) 6.77574 11.7359i 0.455786 0.789444i
\(222\) −14.3213 15.2308i −0.961186 1.02222i
\(223\) −3.57822 4.26435i −0.239615 0.285562i 0.632813 0.774305i \(-0.281900\pi\)
−0.872428 + 0.488743i \(0.837456\pi\)
\(224\) −0.861160 0.722599i −0.0575387 0.0482807i
\(225\) 9.11674 4.54039i 0.607783 0.302693i
\(226\) −15.1919 5.52938i −1.01055 0.367809i
\(227\) −24.7738 −1.64430 −0.822148 0.569274i \(-0.807224\pi\)
−0.822148 + 0.569274i \(0.807224\pi\)
\(228\) 7.52289 0.637267i 0.498216 0.0422040i
\(229\) −24.7947 −1.63848 −0.819241 0.573449i \(-0.805605\pi\)
−0.819241 + 0.573449i \(0.805605\pi\)
\(230\) 18.2860 + 6.65557i 1.20574 + 0.438855i
\(231\) −5.43869 2.74283i −0.357839 0.180465i
\(232\) 0.893754 + 0.749949i 0.0586778 + 0.0492366i
\(233\) 13.8205 + 16.4706i 0.905410 + 1.07903i 0.996534 + 0.0831862i \(0.0265096\pi\)
−0.0911239 + 0.995840i \(0.529046\pi\)
\(234\) −1.78076 15.6913i −0.116412 1.02577i
\(235\) −1.60022 + 2.77167i −0.104387 + 0.180804i
\(236\) 3.41512 + 5.91517i 0.222306 + 0.385045i
\(237\) 2.18582 7.25685i 0.141984 0.471383i
\(238\) −0.989809 2.71948i −0.0641598 0.176278i
\(239\) 10.5128 6.06955i 0.680015 0.392607i −0.119846 0.992793i \(-0.538240\pi\)
0.799861 + 0.600186i \(0.204907\pi\)
\(240\) 1.97998 + 4.61134i 0.127807 + 0.297661i
\(241\) −21.4162 3.77626i −1.37954 0.243250i −0.565830 0.824522i \(-0.691444\pi\)
−0.813709 + 0.581272i \(0.802555\pi\)
\(242\) 0.929705 0.780115i 0.0597637 0.0501477i
\(243\) 11.2486 + 10.7921i 0.721597 + 0.692313i
\(244\) −1.26539 7.17638i −0.0810083 0.459421i
\(245\) −5.68445 + 15.6179i −0.363166 + 0.997791i
\(246\) 8.48377 + 6.33806i 0.540905 + 0.404100i
\(247\) −20.1847 10.9117i −1.28432 0.694295i
\(248\) 4.51258i 0.286549i
\(249\) −20.9289 + 13.7149i −1.32631 + 0.869149i
\(250\) −4.57987 + 0.807555i −0.289657 + 0.0510743i
\(251\) 12.5021 14.8994i 0.789127 0.940445i −0.210181 0.977663i \(-0.567405\pi\)
0.999307 + 0.0372181i \(0.0118496\pi\)
\(252\) −2.81145 1.86265i −0.177105 0.117336i
\(253\) −3.64843 + 20.6913i −0.229375 + 1.30085i
\(254\) −6.67798 3.85554i −0.419014 0.241918i
\(255\) −1.52134 + 12.8294i −0.0952702 + 0.803409i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −10.1861 + 3.70746i −0.635395 + 0.231265i −0.639578 0.768727i \(-0.720891\pi\)
0.00418306 + 0.999991i \(0.498668\pi\)
\(258\) −0.589204 + 4.96873i −0.0366822 + 0.309340i
\(259\) 11.7511 + 6.78452i 0.730180 + 0.421569i
\(260\) 2.64848 15.0203i 0.164252 0.931517i
\(261\) 2.91786 + 1.93315i 0.180611 + 0.119659i
\(262\) 1.42320 1.69610i 0.0879253 0.104785i
\(263\) −30.4663 + 5.37204i −1.87863 + 0.331254i −0.991484 0.130227i \(-0.958429\pi\)
−0.887150 + 0.461481i \(0.847318\pi\)
\(264\) −4.53199 + 2.96987i −0.278925 + 0.182783i
\(265\) 21.4382i 1.31694i
\(266\) −4.55587 + 1.80423i −0.279338 + 0.110624i
\(267\) 19.0256 + 14.2136i 1.16435 + 0.869861i
\(268\) 2.42040 6.64999i 0.147849 0.406213i
\(269\) 0.880210 + 4.99192i 0.0536673 + 0.304363i 0.999812 0.0193811i \(-0.00616958\pi\)
−0.946145 + 0.323744i \(0.895058\pi\)
\(270\) 7.46202 + 13.0760i 0.454124 + 0.795779i
\(271\) 4.01481 3.36882i 0.243882 0.204641i −0.512650 0.858597i \(-0.671336\pi\)
0.756533 + 0.653956i \(0.226892\pi\)
\(272\) −2.53525 0.447033i −0.153722 0.0271054i
\(273\) 4.04389 + 9.41816i 0.244747 + 0.570013i
\(274\) −0.186934 + 0.107926i −0.0112931 + 0.00652006i
\(275\) 3.63240 + 9.97993i 0.219042 + 0.601812i
\(276\) −3.35501 + 11.1385i −0.201948 + 0.670460i
\(277\) 2.15677 + 3.73563i 0.129588 + 0.224453i 0.923517 0.383558i \(-0.125301\pi\)
−0.793929 + 0.608010i \(0.791968\pi\)
\(278\) −9.37801 + 16.2432i −0.562456 + 0.974202i
\(279\) 1.52655 + 13.4514i 0.0913924 + 0.805314i
\(280\) −2.09366 2.49513i −0.125120 0.149112i
\(281\) −8.43804 7.08036i −0.503371 0.422379i 0.355418 0.934707i \(-0.384339\pi\)
−0.858789 + 0.512329i \(0.828783\pi\)
\(282\) −1.70827 0.861512i −0.101726 0.0513023i
\(283\) −3.71261 1.35128i −0.220691 0.0803251i 0.229308 0.973354i \(-0.426354\pi\)
−0.450000 + 0.893029i \(0.648576\pi\)
\(284\) 4.32474 0.256626
\(285\) 21.7863 + 1.96661i 1.29051 + 0.116492i
\(286\) 16.4675 0.973744
\(287\) −6.45871 2.35078i −0.381246 0.138762i
\(288\) −2.68540 + 1.33740i −0.158238 + 0.0788073i
\(289\) 7.94592 + 6.66742i 0.467407 + 0.392201i
\(290\) 2.17290 + 2.58956i 0.127597 + 0.152064i
\(291\) 5.10951 + 5.43398i 0.299525 + 0.318545i
\(292\) 3.76438 6.52009i 0.220294 0.381560i
\(293\) −10.0719 17.4450i −0.588406 1.01915i −0.994441 0.105291i \(-0.966422\pi\)
0.406036 0.913857i \(-0.366911\pi\)
\(294\) −9.51330 2.86548i −0.554827 0.167118i
\(295\) 6.76857 + 18.5965i 0.394081 + 1.08273i
\(296\) 10.4532 6.03516i 0.607580 0.350787i
\(297\) −12.5046 + 10.3859i −0.725590 + 0.602651i
\(298\) −4.18590 0.738088i −0.242483 0.0427563i
\(299\) 27.0830 22.7253i 1.56625 1.31424i
\(300\) 1.34647 + 5.72396i 0.0777388 + 0.330473i
\(301\) −0.563920 3.19815i −0.0325038 0.184338i
\(302\) 3.05814 8.40216i 0.175976 0.483490i
\(303\) 6.13070 8.20620i 0.352199 0.471434i
\(304\) −0.636409 + 4.31219i −0.0365005 + 0.247321i
\(305\) 21.1136i 1.20896i
\(306\) −7.70847 0.474899i −0.440664 0.0271482i
\(307\) −6.45677 + 1.13850i −0.368508 + 0.0649778i −0.354836 0.934929i \(-0.615463\pi\)
−0.0136720 + 0.999907i \(0.504352\pi\)
\(308\) 2.26052 2.69398i 0.128805 0.153504i
\(309\) −1.94956 34.4677i −0.110906 1.96080i
\(310\) −2.27041 + 12.8761i −0.128950 + 0.731314i
\(311\) 1.86672 + 1.07775i 0.105852 + 0.0611137i 0.551991 0.833850i \(-0.313868\pi\)
−0.446139 + 0.894963i \(0.647201\pi\)
\(312\) 9.05411 + 1.07366i 0.512588 + 0.0607840i
\(313\) 15.9106 5.79098i 0.899320 0.327326i 0.149340 0.988786i \(-0.452285\pi\)
0.749980 + 0.661460i \(0.230063\pi\)
\(314\) −1.90517 + 0.693426i −0.107515 + 0.0391323i
\(315\) −7.08499 6.72938i −0.399194 0.379157i
\(316\) 3.78945 + 2.18784i 0.213173 + 0.123076i
\(317\) 0.961500 5.45293i 0.0540032 0.306267i −0.945827 0.324670i \(-0.894747\pi\)
0.999831 + 0.0184023i \(0.00585798\pi\)
\(318\) 12.7952 0.723720i 0.717520 0.0405842i
\(319\) −2.34608 + 2.79595i −0.131355 + 0.156543i
\(320\) −2.85338 + 0.503128i −0.159509 + 0.0281257i
\(321\) −4.54137 6.93009i −0.253474 0.386800i
\(322\) 7.55014i 0.420753i
\(323\) −6.96942 + 8.79469i −0.387789 + 0.489350i
\(324\) −7.55238 + 4.89506i −0.419576 + 0.271948i
\(325\) 6.11224 16.7932i 0.339046 0.931521i
\(326\) 1.62039 + 9.18969i 0.0897451 + 0.508970i
\(327\) −14.5023 + 3.41144i −0.801977 + 0.188653i
\(328\) −4.68364 + 3.93004i −0.258611 + 0.217000i
\(329\) 1.22288 + 0.215627i 0.0674195 + 0.0118879i
\(330\) −14.4257 + 6.19400i −0.794111 + 0.340968i
\(331\) −6.67525 + 3.85396i −0.366905 + 0.211833i −0.672106 0.740455i \(-0.734610\pi\)
0.305200 + 0.952288i \(0.401277\pi\)
\(332\) −4.94105 13.5754i −0.271175 0.745048i
\(333\) 29.1180 21.5262i 1.59566 1.17963i
\(334\) −6.33457 10.9718i −0.346612 0.600350i
\(335\) 10.2521 17.7572i 0.560133 0.970179i
\(336\) 1.41851 1.33381i 0.0773863 0.0727655i
\(337\) 8.14195 + 9.70320i 0.443520 + 0.528567i 0.940772 0.339039i \(-0.110102\pi\)
−0.497252 + 0.867606i \(0.665657\pi\)
\(338\) −11.2684 9.45533i −0.612921 0.514302i
\(339\) 12.6091 25.0022i 0.684832 1.35793i
\(340\) −7.00913 2.55111i −0.380123 0.138354i
\(341\) −14.1168 −0.764466
\(342\) −0.438284 + 13.0693i −0.0236997 + 0.706710i
\(343\) 14.3177 0.773081
\(344\) −2.71458 0.988026i −0.146360 0.0532708i
\(345\) −15.1772 + 30.0945i −0.817115 + 1.62023i
\(346\) 7.22396 + 6.06162i 0.388363 + 0.325875i
\(347\) −2.93143 3.49354i −0.157367 0.187543i 0.681600 0.731725i \(-0.261284\pi\)
−0.838967 + 0.544182i \(0.816840\pi\)
\(348\) −1.47220 + 1.38430i −0.0789184 + 0.0742061i
\(349\) 0.809906 1.40280i 0.0433533 0.0750901i −0.843535 0.537075i \(-0.819529\pi\)
0.886888 + 0.461985i \(0.152863\pi\)
\(350\) −1.90823 3.30516i −0.101999 0.176668i
\(351\) 27.3523 + 0.137530i 1.45996 + 0.00734079i
\(352\) −1.06995 2.93965i −0.0570284 0.156684i
\(353\) 5.92549 3.42108i 0.315382 0.182086i −0.333950 0.942591i \(-0.608382\pi\)
0.649332 + 0.760505i \(0.275048\pi\)
\(354\) −10.8706 + 4.66754i −0.577768 + 0.248077i
\(355\) 12.3401 + 2.17590i 0.654947 + 0.115485i
\(356\) −10.5035 + 8.81346i −0.556683 + 0.467113i
\(357\) 4.87938 1.14780i 0.258244 0.0607481i
\(358\) 1.30046 + 7.37530i 0.0687317 + 0.389797i
\(359\) 1.39824 3.84165i 0.0737965 0.202754i −0.897310 0.441401i \(-0.854482\pi\)
0.971106 + 0.238647i \(0.0767038\pi\)
\(360\) −8.33535 + 2.46503i −0.439311 + 0.129918i
\(361\) 15.2158 + 11.3790i 0.800829 + 0.598893i
\(362\) 15.9735i 0.839549i
\(363\) 1.15217 + 1.75821i 0.0604734 + 0.0922819i
\(364\) −5.82772 + 1.02758i −0.305456 + 0.0538601i
\(365\) 14.0217 16.7104i 0.733927 0.874660i
\(366\) 12.6015 0.712762i 0.658689 0.0372567i
\(367\) −1.71891 + 9.74845i −0.0897266 + 0.508865i 0.906510 + 0.422185i \(0.138737\pi\)
−0.996236 + 0.0866798i \(0.972374\pi\)
\(368\) −5.81642 3.35811i −0.303202 0.175054i
\(369\) −12.6318 + 13.2994i −0.657587 + 0.692337i
\(370\) 32.8635 11.9613i 1.70849 0.621840i
\(371\) −7.81621 + 2.84487i −0.405797 + 0.147698i
\(372\) −7.76163 0.920394i −0.402422 0.0477202i
\(373\) 6.90673 + 3.98760i 0.357617 + 0.206470i 0.668035 0.744130i \(-0.267136\pi\)
−0.310418 + 0.950600i \(0.600469\pi\)
\(374\) 1.39846 7.93107i 0.0723127 0.410106i
\(375\) −0.454875 8.04209i −0.0234897 0.415292i
\(376\) 0.710018 0.846167i 0.0366164 0.0436377i
\(377\) 6.04829 1.06648i 0.311503 0.0549264i
\(378\) 3.77719 4.45579i 0.194278 0.229181i
\(379\) 10.7490i 0.552141i 0.961137 + 0.276071i \(0.0890323\pi\)
−0.961137 + 0.276071i \(0.910968\pi\)
\(380\) −3.98550 + 11.9841i −0.204452 + 0.614773i
\(381\) 7.99358 10.6997i 0.409523 0.548165i
\(382\) −2.60534 + 7.15812i −0.133301 + 0.366241i
\(383\) 0.913805 + 5.18245i 0.0466933 + 0.264811i 0.999213 0.0396663i \(-0.0126295\pi\)
−0.952520 + 0.304477i \(0.901518\pi\)
\(384\) −0.396613 1.68603i −0.0202396 0.0860399i
\(385\) 7.80554 6.54963i 0.397807 0.333800i
\(386\) −11.8171 2.08368i −0.601476 0.106057i
\(387\) −8.42604 2.02686i −0.428320 0.103031i
\(388\) −3.72945 + 2.15320i −0.189334 + 0.109312i
\(389\) 5.43196 + 14.9242i 0.275411 + 0.756686i 0.997868 + 0.0652695i \(0.0207907\pi\)
−0.722457 + 0.691416i \(0.756987\pi\)
\(390\) 25.2947 + 7.61894i 1.28084 + 0.385800i
\(391\) −8.64499 14.9736i −0.437196 0.757245i
\(392\) 2.86813 4.96774i 0.144862 0.250909i
\(393\) 2.62701 + 2.79384i 0.132515 + 0.140930i
\(394\) −11.3277 13.4998i −0.570681 0.680112i
\(395\) 9.71199 + 8.14933i 0.488663 + 0.410037i
\(396\) −4.18382 8.40077i −0.210245 0.422154i
\(397\) −33.6599 12.2512i −1.68934 0.614870i −0.694799 0.719204i \(-0.744507\pi\)
−0.994542 + 0.104334i \(0.966729\pi\)
\(398\) 2.26328 0.113448
\(399\) −2.17405 8.20409i −0.108839 0.410718i
\(400\) −3.39493 −0.169747
\(401\) 5.57564 + 2.02937i 0.278434 + 0.101342i 0.477463 0.878652i \(-0.341557\pi\)
−0.199029 + 0.979994i \(0.563779\pi\)
\(402\) 10.9443 + 5.51943i 0.545852 + 0.275284i
\(403\) 18.1968 + 15.2690i 0.906449 + 0.760601i
\(404\) 3.80146 + 4.53041i 0.189130 + 0.225396i
\(405\) −24.0127 + 10.1677i −1.19320 + 0.505235i
\(406\) 0.655789 1.13586i 0.0325463 0.0563718i
\(407\) 18.8799 + 32.7009i 0.935841 + 1.62092i
\(408\) 1.28599 4.26945i 0.0636661 0.211369i
\(409\) 9.06715 + 24.9118i 0.448342 + 1.23181i 0.933878 + 0.357592i \(0.116402\pi\)
−0.485536 + 0.874217i \(0.661375\pi\)
\(410\) −15.3415 + 8.85745i −0.757665 + 0.437438i
\(411\) −0.147506 0.343539i −0.00727592 0.0169455i
\(412\) 19.6290 + 3.46111i 0.967049 + 0.170517i
\(413\) 5.88194 4.93553i 0.289431 0.242862i
\(414\) −18.4740 8.04245i −0.907946 0.395265i
\(415\) −7.26852 41.2218i −0.356798 2.02350i
\(416\) −1.80040 + 4.94656i −0.0882719 + 0.242525i
\(417\) −26.0255 19.4432i −1.27448 0.952136i
\(418\) −13.4899 1.99089i −0.659812 0.0973775i
\(419\) 8.21543i 0.401350i −0.979658 0.200675i \(-0.935686\pi\)
0.979658 0.200675i \(-0.0643135\pi\)
\(420\) 4.71865 3.09218i 0.230246 0.150883i
\(421\) −16.5911 + 2.92547i −0.808603 + 0.142578i −0.562641 0.826701i \(-0.690215\pi\)
−0.245961 + 0.969280i \(0.579104\pi\)
\(422\) 2.47545 2.95012i 0.120503 0.143610i
\(423\) 1.83022 2.76250i 0.0889884 0.134317i
\(424\) −1.28484 + 7.28671i −0.0623976 + 0.353874i
\(425\) −7.56888 4.36989i −0.367144 0.211971i
\(426\) −0.882082 + 7.43855i −0.0427370 + 0.360399i
\(427\) −7.69786 + 2.80179i −0.372526 + 0.135588i
\(428\) 4.49517 1.63611i 0.217282 0.0790842i
\(429\) −3.35874 + 28.3241i −0.162162 + 1.36750i
\(430\) −7.24863 4.18500i −0.349560 0.201819i
\(431\) −5.03223 + 28.5392i −0.242394 + 1.37469i 0.584073 + 0.811701i \(0.301458\pi\)
−0.826467 + 0.562985i \(0.809653\pi\)
\(432\) −1.75262 4.89166i −0.0843228 0.235350i
\(433\) −17.6845 + 21.0756i −0.849863 + 1.01283i 0.149846 + 0.988709i \(0.452122\pi\)
−0.999709 + 0.0241176i \(0.992322\pi\)
\(434\) 4.99581 0.880897i 0.239807 0.0422844i
\(435\) −4.89724 + 3.20922i −0.234805 + 0.153870i
\(436\) 8.60143i 0.411934i
\(437\) −24.9333 + 15.3419i −1.19272 + 0.733902i
\(438\) 10.4468 + 7.80458i 0.499166 + 0.372917i
\(439\) −5.19707 + 14.2788i −0.248042 + 0.681491i 0.751715 + 0.659488i \(0.229227\pi\)
−0.999758 + 0.0220034i \(0.992996\pi\)
\(440\) −1.57394 8.92628i −0.0750348 0.425544i
\(441\) 6.86897 15.7784i 0.327094 0.751353i
\(442\) −10.3810 + 8.71073i −0.493776 + 0.414327i
\(443\) 4.75117 + 0.837760i 0.225735 + 0.0398032i 0.285371 0.958417i \(-0.407883\pi\)
−0.0596365 + 0.998220i \(0.518994\pi\)
\(444\) 8.24842 + 19.2105i 0.391453 + 0.911688i
\(445\) −34.4047 + 19.8636i −1.63094 + 0.941624i
\(446\) 1.90393 + 5.23100i 0.0901537 + 0.247695i
\(447\) 2.12328 7.04921i 0.100427 0.333416i
\(448\) 0.562083 + 0.973556i 0.0265559 + 0.0459962i
\(449\) 1.78666 3.09458i 0.0843176 0.146042i −0.820783 0.571241i \(-0.806462\pi\)
0.905100 + 0.425198i \(0.139796\pi\)
\(450\) −10.1198 + 1.14847i −0.477054 + 0.0541393i
\(451\) −12.2944 14.6519i −0.578921 0.689932i
\(452\) 12.3845 + 10.3918i 0.582519 + 0.488791i
\(453\) 13.8280 + 6.97372i 0.649695 + 0.327654i
\(454\) 23.2798 + 8.47314i 1.09257 + 0.397664i
\(455\) −17.1457 −0.803804
\(456\) −7.28716 1.97415i −0.341253 0.0924478i
\(457\) 26.0709 1.21955 0.609774 0.792576i \(-0.291260\pi\)
0.609774 + 0.792576i \(0.291260\pi\)
\(458\) 23.2994 + 8.48030i 1.08871 + 0.396258i
\(459\) 2.38906 13.1617i 0.111512 0.614336i
\(460\) −14.9069 12.5084i −0.695038 0.583206i
\(461\) 8.46456 + 10.0877i 0.394234 + 0.469830i 0.926253 0.376903i \(-0.123011\pi\)
−0.532019 + 0.846732i \(0.678567\pi\)
\(462\) 4.17259 + 4.43756i 0.194126 + 0.206454i
\(463\) −10.6868 + 18.5101i −0.496659 + 0.860238i −0.999993 0.00385369i \(-0.998773\pi\)
0.503334 + 0.864092i \(0.332107\pi\)
\(464\) −0.583357 1.01040i −0.0270817 0.0469068i
\(465\) −21.6838 6.53133i −1.00556 0.302883i
\(466\) −7.35373 20.2042i −0.340655 0.935941i
\(467\) −8.01942 + 4.63001i −0.371094 + 0.214251i −0.673936 0.738789i \(-0.735398\pi\)
0.302842 + 0.953041i \(0.402065\pi\)
\(468\) −3.69339 + 15.3541i −0.170727 + 0.709743i
\(469\) −7.83459 1.38145i −0.361768 0.0637894i
\(470\) 2.45169 2.05721i 0.113088 0.0948919i
\(471\) −0.804111 3.41833i −0.0370515 0.157508i
\(472\) −1.18606 6.72648i −0.0545928 0.309611i
\(473\) 3.09086 8.49206i 0.142118 0.390465i
\(474\) −4.53599 + 6.07162i −0.208345 + 0.278879i
\(475\) −7.03730 + 13.0178i −0.322894 + 0.597296i
\(476\) 2.89401i 0.132647i
\(477\) −1.36494 + 22.1554i −0.0624961 + 1.01442i
\(478\) −11.9547 + 2.10793i −0.546795 + 0.0964147i
\(479\) −3.61743 + 4.31108i −0.165284 + 0.196978i −0.842329 0.538964i \(-0.818816\pi\)
0.677045 + 0.735942i \(0.263260\pi\)
\(480\) −0.283400 5.01044i −0.0129354 0.228694i
\(481\) 11.0333 62.5731i 0.503076 2.85309i
\(482\) 18.8331 + 10.8733i 0.857824 + 0.495265i
\(483\) 12.9862 + 1.53994i 0.590894 + 0.0700697i
\(484\) −1.14045 + 0.415090i −0.0518387 + 0.0188677i
\(485\) −11.7249 + 4.26751i −0.532400 + 0.193778i
\(486\) −6.87911 13.9885i −0.312043 0.634531i
\(487\) 17.7438 + 10.2444i 0.804048 + 0.464217i 0.844885 0.534948i \(-0.179669\pi\)
−0.0408365 + 0.999166i \(0.513002\pi\)
\(488\) −1.26539 + 7.17638i −0.0572815 + 0.324859i
\(489\) −16.1368 + 0.912725i −0.729730 + 0.0412748i
\(490\) 10.6833 12.7318i 0.482621 0.575165i
\(491\) −32.2309 + 5.68317i −1.45456 + 0.256478i −0.844363 0.535772i \(-0.820021\pi\)
−0.610196 + 0.792250i \(0.708909\pi\)
\(492\) −5.80439 8.85745i −0.261682 0.399325i
\(493\) 3.00354i 0.135273i
\(494\) 15.2354 + 17.1572i 0.685473 + 0.771940i
\(495\) −7.71138 26.0756i −0.346601 1.17201i
\(496\) 1.54339 4.24044i 0.0693004 0.190401i
\(497\) −0.844229 4.78786i −0.0378689 0.214765i
\(498\) 24.3575 5.72973i 1.09149 0.256756i
\(499\) 15.7157 13.1871i 0.703533 0.590334i −0.219243 0.975670i \(-0.570359\pi\)
0.922776 + 0.385336i \(0.125914\pi\)
\(500\) 4.57987 + 0.807555i 0.204818 + 0.0361150i
\(501\) 20.1635 8.65763i 0.900838 0.386794i
\(502\) −16.8441 + 9.72492i −0.751787 + 0.434044i
\(503\) −7.95923 21.8678i −0.354885 0.975037i −0.980778 0.195128i \(-0.937488\pi\)
0.625893 0.779909i \(-0.284735\pi\)
\(504\) 2.00484 + 2.71189i 0.0893025 + 0.120797i
\(505\) 8.56766 + 14.8396i 0.381256 + 0.660354i
\(506\) 10.5052 18.1956i 0.467014 0.808892i
\(507\) 18.5615 17.4532i 0.824345 0.775122i
\(508\) 4.95658 + 5.90702i 0.219913 + 0.262082i
\(509\) −16.6553 13.9754i −0.738232 0.619450i 0.194130 0.980976i \(-0.437812\pi\)
−0.932362 + 0.361525i \(0.882256\pi\)
\(510\) 5.81751 11.5354i 0.257604 0.510795i
\(511\) −7.95315 2.89471i −0.351827 0.128054i
\(512\) 1.00000 0.0441942
\(513\) −22.3899 3.41950i −0.988538 0.150974i
\(514\) 10.8399 0.478126
\(515\) 54.2675 + 19.7518i 2.39131 + 0.870367i
\(516\) 2.25308 4.46756i 0.0991861 0.196673i
\(517\) 2.64708 + 2.22116i 0.116418 + 0.0976866i
\(518\) −8.72201 10.3945i −0.383223 0.456707i
\(519\) −11.8994 + 11.1889i −0.522326 + 0.491137i
\(520\) −7.62598 + 13.2086i −0.334422 + 0.579235i
\(521\) −7.53777 13.0558i −0.330236 0.571985i 0.652322 0.757942i \(-0.273795\pi\)
−0.982558 + 0.185957i \(0.940462\pi\)
\(522\) −2.08072 2.81453i −0.0910705 0.123189i
\(523\) 2.38040 + 6.54010i 0.104088 + 0.285979i 0.980794 0.195048i \(-0.0624862\pi\)
−0.876706 + 0.481027i \(0.840264\pi\)
\(524\) −1.91747 + 1.10705i −0.0837649 + 0.0483617i
\(525\) 6.07407 2.60803i 0.265094 0.113824i
\(526\) 30.4663 + 5.37204i 1.32840 + 0.234232i
\(527\) 8.89914 7.46727i 0.387653 0.325279i
\(528\) 5.27443 1.24073i 0.229540 0.0539959i
\(529\) −3.83894 21.7717i −0.166911 0.946597i
\(530\) −7.33231 + 20.1453i −0.318495 + 0.875058i
\(531\) −5.81098 19.6495i −0.252175 0.852716i
\(532\) 4.89820 0.137220i 0.212364 0.00594923i
\(533\) 32.1845i 1.39407i
\(534\) −13.0168 19.8636i −0.563294 0.859582i
\(535\) 13.6496 2.40679i 0.590124 0.104055i
\(536\) −4.54886 + 5.42112i −0.196481 + 0.234157i
\(537\) −12.9508 + 0.732519i −0.558867 + 0.0316105i
\(538\) 0.880210 4.99192i 0.0379485 0.215217i
\(539\) 15.5407 + 8.97240i 0.669384 + 0.386469i
\(540\) −2.53975 14.8396i −0.109293 0.638593i
\(541\) −4.63626 + 1.68746i −0.199328 + 0.0725495i −0.439755 0.898118i \(-0.644935\pi\)
0.240427 + 0.970667i \(0.422713\pi\)
\(542\) −4.92489 + 1.79251i −0.211542 + 0.0769950i
\(543\) 27.4744 + 3.25799i 1.17904 + 0.139814i
\(544\) 2.22946 + 1.28718i 0.0955874 + 0.0551874i
\(545\) 4.32762 24.5432i 0.185375 1.05131i
\(546\) −0.578813 10.2333i −0.0247709 0.437944i
\(547\) 9.08478 10.8268i 0.388437 0.462922i −0.536021 0.844205i \(-0.680073\pi\)
0.924458 + 0.381283i \(0.124518\pi\)
\(548\) 0.212573 0.0374824i 0.00908067 0.00160117i
\(549\) −1.34427 + 21.8199i −0.0573720 + 0.931250i
\(550\) 10.6204i 0.452856i
\(551\) −5.08359 + 0.142413i −0.216568 + 0.00606701i
\(552\) 6.96228 9.31931i 0.296334 0.396656i
\(553\) 1.68239 4.62234i 0.0715426 0.196562i
\(554\) −0.749038 4.24801i −0.0318236 0.180481i
\(555\) 13.8706 + 58.9648i 0.588773 + 2.50292i
\(556\) 14.3679 12.0561i 0.609336 0.511294i
\(557\) 0.424076 + 0.0747760i 0.0179687 + 0.00316836i 0.182625 0.983183i \(-0.441540\pi\)
−0.164657 + 0.986351i \(0.552652\pi\)
\(558\) 3.16615 13.1623i 0.134034 0.557204i
\(559\) −13.1694 + 7.60334i −0.557005 + 0.321587i
\(560\) 1.11401 + 3.06073i 0.0470757 + 0.129339i
\(561\) 13.3562 + 4.02299i 0.563899 + 0.169851i
\(562\) 5.50754 + 9.53934i 0.232322 + 0.402393i
\(563\) −2.44919 + 4.24212i −0.103221 + 0.178784i −0.913010 0.407937i \(-0.866248\pi\)
0.809789 + 0.586721i \(0.199582\pi\)
\(564\) 1.31059 + 1.39382i 0.0551858 + 0.0586903i
\(565\) 30.1093 + 35.8829i 1.26671 + 1.50961i
\(566\) 3.02654 + 2.53957i 0.127215 + 0.106746i
\(567\) 6.89355 + 7.40557i 0.289502 + 0.311005i
\(568\) −4.06393 1.47915i −0.170519 0.0620637i
\(569\) 9.33523 0.391353 0.195677 0.980668i \(-0.437310\pi\)
0.195677 + 0.980668i \(0.437310\pi\)
\(570\) −19.7998 9.29937i −0.829323 0.389508i
\(571\) 23.4478 0.981260 0.490630 0.871368i \(-0.336767\pi\)
0.490630 + 0.871368i \(0.336767\pi\)
\(572\) −15.4744 5.63222i −0.647017 0.235495i
\(573\) −11.7806 5.94117i −0.492141 0.248196i
\(574\) 5.26519 + 4.41802i 0.219765 + 0.184405i
\(575\) −14.6563 17.4667i −0.611209 0.728410i
\(576\) 2.98087 0.338289i 0.124203 0.0140954i
\(577\) −1.23938 + 2.14667i −0.0515960 + 0.0893669i −0.890670 0.454651i \(-0.849764\pi\)
0.839074 + 0.544017i \(0.183097\pi\)
\(578\) −5.18633 8.98299i −0.215723 0.373643i
\(579\) 5.99417 19.9005i 0.249109 0.827036i
\(580\) −1.15618 3.17657i −0.0480076 0.131900i
\(581\) −14.0646 + 8.12021i −0.583499 + 0.336883i
\(582\) −2.94284 6.85382i −0.121984 0.284100i
\(583\) −22.7951 4.01940i −0.944078 0.166466i
\(584\) −5.76736 + 4.83939i −0.238655 + 0.200255i
\(585\) −18.2637 + 41.9528i −0.755112 + 1.73454i
\(586\) 3.49793 + 19.8377i 0.144498 + 0.819489i
\(587\) −13.2139 + 36.3050i −0.545398 + 1.49847i 0.294462 + 0.955663i \(0.404860\pi\)
−0.839859 + 0.542804i \(0.817363\pi\)
\(588\) 7.95952 + 5.94641i 0.328245 + 0.245226i
\(589\) −13.0605 14.7080i −0.538150 0.606034i
\(590\) 19.7900i 0.814740i
\(591\) 25.5301 16.7302i 1.05017 0.688188i
\(592\) −11.8869 + 2.09599i −0.488551 + 0.0861446i
\(593\) 2.81505 3.35484i 0.115600 0.137767i −0.705141 0.709067i \(-0.749116\pi\)
0.820741 + 0.571300i \(0.193561\pi\)
\(594\) 15.3027 5.48273i 0.627876 0.224959i
\(595\) −1.45606 + 8.25771i −0.0596925 + 0.338533i
\(596\) 3.68102 + 2.12524i 0.150781 + 0.0870532i
\(597\) −0.461622 + 3.89284i −0.0188929 + 0.159323i
\(598\) −33.2222 + 12.0919i −1.35856 + 0.494474i
\(599\) 40.2689 14.6567i 1.64534 0.598855i 0.657380 0.753559i \(-0.271665\pi\)
0.987961 + 0.154704i \(0.0494423\pi\)
\(600\) 0.692437 5.83928i 0.0282686 0.238388i
\(601\) −24.0390 13.8789i −0.980571 0.566133i −0.0781288 0.996943i \(-0.524895\pi\)
−0.902443 + 0.430810i \(0.858228\pi\)
\(602\) −0.563920 + 3.19815i −0.0229836 + 0.130347i
\(603\) −11.7256 + 17.6985i −0.477505 + 0.720737i
\(604\) −5.74742 + 6.84951i −0.233859 + 0.278702i
\(605\) −3.46299 + 0.610618i −0.140791 + 0.0248252i
\(606\) −8.56766 + 5.61449i −0.348037 + 0.228073i
\(607\) 16.1090i 0.653844i −0.945051 0.326922i \(-0.893989\pi\)
0.945051 0.326922i \(-0.106011\pi\)
\(608\) 2.07288 3.83447i 0.0840666 0.155508i
\(609\) 1.81992 + 1.35963i 0.0737470 + 0.0550950i
\(610\) −7.22128 + 19.8403i −0.292381 + 0.803311i
\(611\) −1.00969 5.72626i −0.0408478 0.231660i
\(612\) 7.08117 + 3.08271i 0.286239 + 0.124611i
\(613\) 17.2068 14.4382i 0.694975 0.583154i −0.225364 0.974275i \(-0.572357\pi\)
0.920339 + 0.391121i \(0.127913\pi\)
\(614\) 6.45677 + 1.13850i 0.260574 + 0.0459463i
\(615\) −12.1057 28.1940i −0.488150 1.13689i
\(616\) −3.04559 + 1.75837i −0.122710 + 0.0708468i
\(617\) −15.8059 43.4264i −0.636322 1.74828i −0.662982 0.748636i \(-0.730709\pi\)
0.0266596 0.999645i \(-0.491513\pi\)
\(618\) −9.95667 + 33.0559i −0.400516 + 1.32970i
\(619\) −20.8534 36.1192i −0.838170 1.45175i −0.891423 0.453172i \(-0.850292\pi\)
0.0532532 0.998581i \(-0.483041\pi\)
\(620\) 6.53737 11.3231i 0.262547 0.454745i
\(621\) 17.6010 30.1349i 0.706303 1.20927i
\(622\) −1.38553 1.65121i −0.0555547 0.0662076i
\(623\) 11.8076 + 9.90779i 0.473063 + 0.396947i
\(624\) −8.14087 4.10560i −0.325895 0.164355i
\(625\) 28.6128 + 10.4142i 1.14451 + 0.416568i
\(626\) −16.9317 −0.676727
\(627\) 6.17575 22.7965i 0.246636 0.910406i
\(628\) 2.02744 0.0809038
\(629\) −29.1994 10.6277i −1.16426 0.423755i
\(630\) 4.35613 + 8.74676i 0.173553 + 0.348479i
\(631\) −3.34686 2.80835i −0.133236 0.111799i 0.573734 0.819042i \(-0.305494\pi\)
−0.706971 + 0.707243i \(0.749939\pi\)
\(632\) −2.81263 3.35197i −0.111881 0.133334i
\(633\) 4.56932 + 4.85948i 0.181614 + 0.193147i
\(634\) −2.76853 + 4.79523i −0.109952 + 0.190443i
\(635\) 11.1710 + 19.3488i 0.443309 + 0.767834i
\(636\) −12.2711 3.69614i −0.486580 0.146562i
\(637\) −10.3275 28.3747i −0.409192 1.12425i
\(638\) 3.16086 1.82492i 0.125140 0.0722494i
\(639\) −12.6144 3.03436i −0.499018 0.120038i
\(640\) 2.85338 + 0.503128i 0.112790 + 0.0198879i
\(641\) 2.18494 1.83339i 0.0863001 0.0724144i −0.598617 0.801035i \(-0.704283\pi\)
0.684917 + 0.728621i \(0.259838\pi\)
\(642\) 1.89726 + 8.06539i 0.0748789 + 0.318316i
\(643\) 7.65253 + 43.3997i 0.301786 + 1.71152i 0.638258 + 0.769823i \(0.279655\pi\)
−0.336471 + 0.941694i \(0.609234\pi\)
\(644\) −2.58230 + 7.09481i −0.101757 + 0.279575i
\(645\) 8.67664 11.6141i 0.341643 0.457303i
\(646\) 9.55707 5.88063i 0.376018 0.231370i
\(647\) 20.3269i 0.799131i −0.916705 0.399566i \(-0.869161\pi\)
0.916705 0.399566i \(-0.130839\pi\)
\(648\) 8.77112 2.01679i 0.344562 0.0792269i
\(649\) 21.0426 3.71037i 0.825992 0.145645i
\(650\) −11.4872 + 13.6900i −0.450567 + 0.536965i
\(651\) 0.496187 + 8.77247i 0.0194471 + 0.343820i
\(652\) 1.62039 9.18969i 0.0634594 0.359896i
\(653\) 35.1702 + 20.3055i 1.37632 + 0.794617i 0.991714 0.128465i \(-0.0410051\pi\)
0.384603 + 0.923082i \(0.374338\pi\)
\(654\) 14.7945 + 1.75436i 0.578509 + 0.0686010i
\(655\) −6.02826 + 2.19411i −0.235543 + 0.0857308i
\(656\) 5.74534 2.09113i 0.224318 0.0816450i
\(657\) −15.5546 + 16.3766i −0.606843 + 0.638912i
\(658\) −1.07538 0.620872i −0.0419228 0.0242041i
\(659\) −6.33474 + 35.9261i −0.246766 + 1.39948i 0.569588 + 0.821930i \(0.307103\pi\)
−0.816354 + 0.577552i \(0.804008\pi\)
\(660\) 15.6742 0.886563i 0.610118 0.0345094i
\(661\) −2.71797 + 3.23916i −0.105717 + 0.125989i −0.816308 0.577616i \(-0.803983\pi\)
0.710591 + 0.703605i \(0.248427\pi\)
\(662\) 7.59082 1.33847i 0.295026 0.0520210i
\(663\) −12.8651 19.6320i −0.499640 0.762445i
\(664\) 14.4467i 0.560639i
\(665\) 14.0455 + 2.07288i 0.544660 + 0.0803830i
\(666\) −34.7243 + 10.2691i −1.34554 + 0.397919i
\(667\) 2.68004 7.36334i 0.103771 0.285110i
\(668\) 2.19997 + 12.4767i 0.0851195 + 0.482737i
\(669\) −9.38565 + 2.20783i −0.362870 + 0.0853598i
\(670\) −15.7072 + 13.1799i −0.606820 + 0.509183i
\(671\) −22.4500 3.95854i −0.866672 0.152818i
\(672\) −1.78916 + 0.768214i −0.0690183 + 0.0296345i
\(673\) 22.4627 12.9688i 0.865874 0.499912i −0.000101249 1.00000i \(-0.500032\pi\)
0.865975 + 0.500088i \(0.166699\pi\)
\(674\) −4.33224 11.9027i −0.166872 0.458476i
\(675\) 0.0886972 17.6404i 0.00341396 0.678978i
\(676\) 7.35494 + 12.7391i 0.282882 + 0.489966i
\(677\) −16.1874 + 28.0374i −0.622132 + 1.07756i 0.366956 + 0.930238i \(0.380400\pi\)
−0.989088 + 0.147326i \(0.952934\pi\)
\(678\) −20.3999 + 19.1818i −0.783455 + 0.736673i
\(679\) 3.11180 + 3.70850i 0.119420 + 0.142319i
\(680\) 5.71389 + 4.79453i 0.219118 + 0.183862i
\(681\) −19.3220 + 38.3130i −0.740420 + 1.46816i
\(682\) 13.2654 + 4.82822i 0.507959 + 0.184882i
\(683\) −12.5635 −0.480728 −0.240364 0.970683i \(-0.577267\pi\)
−0.240364 + 0.970683i \(0.577267\pi\)
\(684\) 4.88183 12.1313i 0.186662 0.463851i
\(685\) 0.625411 0.0238957
\(686\) −13.4542 4.89693i −0.513683 0.186965i
\(687\) −19.3383 + 38.3454i −0.737802 + 1.46297i
\(688\) 2.21295 + 1.85688i 0.0843678 + 0.0707930i
\(689\) 25.0360 + 29.8367i 0.953796 + 1.13669i
\(690\) 24.5548 23.0886i 0.934787 0.878970i
\(691\) −7.86815 + 13.6280i −0.299319 + 0.518435i −0.975980 0.217859i \(-0.930093\pi\)
0.676662 + 0.736294i \(0.263426\pi\)
\(692\) −4.71511 8.16680i −0.179241 0.310455i
\(693\) −8.48365 + 6.27176i −0.322267 + 0.238244i
\(694\) 1.55978 + 4.28546i 0.0592084 + 0.162674i
\(695\) 47.0630 27.1719i 1.78520 1.03069i
\(696\) 1.85688 0.797290i 0.0703847 0.0302212i
\(697\) 15.5007 + 2.73319i 0.587130 + 0.103527i
\(698\) −1.24085 + 1.04120i −0.0469668 + 0.0394098i
\(699\) 36.2511 8.52752i 1.37114 0.322541i
\(700\) 0.662722 + 3.75848i 0.0250485 + 0.142057i
\(701\) 10.8602 29.8381i 0.410183 1.12697i −0.546911 0.837191i \(-0.684197\pi\)
0.957094 0.289777i \(-0.0935812\pi\)
\(702\) −25.6557 9.48427i −0.968312 0.357961i
\(703\) −16.6033 + 49.9249i −0.626204 + 1.88295i
\(704\) 3.12832i 0.117903i
\(705\) 3.03835 + 4.63649i 0.114431 + 0.174620i
\(706\) −6.73822 + 1.18813i −0.253596 + 0.0447159i
\(707\) 4.27347 5.09293i 0.160721 0.191539i
\(708\) 11.8115 0.668078i 0.443902 0.0251079i
\(709\) 6.11366 34.6723i 0.229603 1.30214i −0.624084 0.781358i \(-0.714528\pi\)
0.853687 0.520787i \(-0.174361\pi\)
\(710\) −10.8517 6.26526i −0.407259 0.235131i
\(711\) −9.51801 9.04028i −0.356953 0.339037i
\(712\) 12.8844 4.68955i 0.482864 0.175748i
\(713\) 28.4797 10.3658i 1.06657 0.388201i
\(714\) −4.97769 0.590267i −0.186285 0.0220902i
\(715\) −41.3206 23.8565i −1.54530 0.892182i
\(716\) 1.30046 7.37530i 0.0486007 0.275628i
\(717\) −1.18735 20.9920i −0.0443422 0.783961i
\(718\) −2.62784 + 3.13174i −0.0980701 + 0.116875i
\(719\) −14.7056 + 2.59299i −0.548426 + 0.0967023i −0.440994 0.897510i \(-0.645374\pi\)
−0.107432 + 0.994212i \(0.534263\pi\)
\(720\) 8.67575 + 0.534491i 0.323326 + 0.0199193i
\(721\) 22.4066i 0.834465i
\(722\) −10.4063 15.8968i −0.387282 0.591618i
\(723\) −22.5433 + 30.1752i −0.838394 + 1.12223i
\(724\) −5.46326 + 15.0102i −0.203041 + 0.557850i
\(725\) −0.687805 3.90074i −0.0255444 0.144870i
\(726\) −0.481347 2.04624i −0.0178645 0.0759431i
\(727\) −22.7799 + 19.1146i −0.844860 + 0.708922i −0.958651 0.284583i \(-0.908145\pi\)
0.113791 + 0.993505i \(0.463700\pi\)
\(728\) 5.82772 + 1.02758i 0.215990 + 0.0380848i
\(729\) 25.4633 8.97894i 0.943084 0.332553i
\(730\) −18.8913 + 10.9069i −0.699199 + 0.403683i
\(731\) 2.54354 + 6.98831i 0.0940761 + 0.258472i
\(732\) −12.0853 3.64018i −0.446685 0.134545i
\(733\) 1.63062 + 2.82432i 0.0602284 + 0.104319i 0.894567 0.446933i \(-0.147484\pi\)
−0.834339 + 0.551252i \(0.814150\pi\)
\(734\) 4.94942 8.57264i 0.182686 0.316422i
\(735\) 19.7198 + 20.9720i 0.727375 + 0.773565i
\(736\) 4.31710 + 5.14492i 0.159131 + 0.189644i
\(737\) −16.9590 14.2303i −0.624692 0.524178i
\(738\) 16.4187 8.17697i 0.604380 0.300998i
\(739\) −5.54154 2.01696i −0.203849 0.0741950i 0.238078 0.971246i \(-0.423483\pi\)
−0.441927 + 0.897051i \(0.645705\pi\)
\(740\) −34.9726 −1.28562
\(741\) −32.6179 + 22.7055i −1.19825 + 0.834106i
\(742\) 8.31784 0.305357
\(743\) −27.7676 10.1066i −1.01870 0.370775i −0.221930 0.975063i \(-0.571236\pi\)
−0.796766 + 0.604288i \(0.793458\pi\)
\(744\) 6.97876 + 3.51952i 0.255854 + 0.129032i
\(745\) 9.43410 + 7.91615i 0.345639 + 0.290025i
\(746\) −5.12636 6.10936i −0.187689 0.223680i
\(747\) 4.88714 + 43.0635i 0.178811 + 1.57561i
\(748\) −4.02671 + 6.97446i −0.147231 + 0.255012i
\(749\) −2.68881 4.65716i −0.0982470 0.170169i
\(750\) −2.32311 + 7.71267i −0.0848281 + 0.281627i
\(751\) −6.20481 17.0476i −0.226417 0.622074i 0.773515 0.633778i \(-0.218497\pi\)
−0.999932 + 0.0117037i \(0.996275\pi\)
\(752\) −0.956605 + 0.552296i −0.0348838 + 0.0201402i
\(753\) −13.2913 30.9553i −0.484363 1.12807i
\(754\) −6.04829 1.06648i −0.220266 0.0388388i
\(755\) −19.8458 + 16.6526i −0.722261 + 0.606049i
\(756\) −5.07336 + 2.89519i −0.184516 + 0.105297i
\(757\) −3.70068 20.9876i −0.134504 0.762807i −0.975204 0.221307i \(-0.928968\pi\)
0.840701 0.541500i \(-0.182143\pi\)
\(758\) 3.67639 10.1008i 0.133532 0.366877i
\(759\) 29.1537 + 21.7802i 1.05821 + 0.790571i
\(760\) 7.84396 9.89828i 0.284530 0.359048i
\(761\) 29.1728i 1.05751i 0.848774 + 0.528757i \(0.177342\pi\)
−0.848774 + 0.528757i \(0.822658\pi\)
\(762\) −11.1710 + 7.32051i −0.404684 + 0.265194i
\(763\) −9.52252 + 1.67908i −0.344739 + 0.0607867i
\(764\) 4.89644 5.83535i 0.177147 0.211116i
\(765\) 18.6543 + 12.3589i 0.674447 + 0.446837i
\(766\) 0.913805 5.18245i 0.0330171 0.187249i
\(767\) −31.1375 17.9773i −1.12431 0.649122i
\(768\) −0.203962 + 1.72000i −0.00735984 + 0.0620651i
\(769\) −25.9596 + 9.44854i −0.936129 + 0.340723i −0.764636 0.644462i \(-0.777081\pi\)
−0.171493 + 0.985185i \(0.554859\pi\)
\(770\) −9.57492 + 3.48499i −0.345056 + 0.125590i
\(771\) −2.21092 + 18.6446i −0.0796244 + 0.671468i