Properties

Label 114.2.l.a.53.3
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 53.3
Root \(-0.396613 + 1.68603i\) of defining polynomial
Character \(\chi\) \(=\) 114.53
Dual form 114.2.l.a.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(1.26184 + 1.18649i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.86241 - 2.21954i) q^{5} +(0.779936 + 1.54651i) q^{6} +(0.562083 - 0.973556i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.184473 + 2.99432i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(1.26184 + 1.18649i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.86241 - 2.21954i) q^{5} +(0.779936 + 1.54651i) q^{6} +(0.562083 - 0.973556i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.184473 + 2.99432i) q^{9} +(-0.990970 - 2.72267i) q^{10} +(-2.70920 + 1.56416i) q^{11} +(0.203962 + 1.72000i) q^{12} +(-5.18404 - 0.914087i) q^{13} +(0.861160 - 0.722599i) q^{14} +(0.283400 - 5.01044i) 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} +(1.86437 - 0.561563i) q^{21} +(-3.08079 + 0.543226i) q^{22} +(4.31710 - 5.14492i) q^{23} +(-0.396613 + 1.68603i) q^{24} +(-0.589524 + 3.34336i) q^{25} +(-4.55877 - 2.63201i) q^{26} +(-3.31997 + 3.99723i) q^{27} +(1.05637 - 0.384487i) q^{28} +(1.09635 - 0.399039i) q^{29} +(1.97998 - 4.61134i) q^{30} +(-3.90801 - 2.25629i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-5.27443 - 1.24073i) q^{33} +(1.65477 - 1.97208i) q^{34} +(-3.20767 + 0.565599i) q^{35} +(-1.78340 + 2.41236i) 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} +(1.94400 + 0.109956i) q^{42} +(2.21295 - 1.85688i) q^{43} +(-3.08079 - 0.543226i) q^{44} +(6.30245 - 5.98611i) q^{45} +(5.81642 - 3.35811i) q^{46} +(-0.377793 - 1.03798i) q^{47} +(-0.949351 + 1.44870i) q^{48} +(2.86813 + 4.96774i) q^{49} +(-1.69747 + 2.94010i) q^{50} +(3.98128 - 2.00784i) q^{51} +(-3.38365 - 4.03247i) q^{52} +(5.66806 + 4.75606i) q^{53} +(-4.48688 + 2.62067i) q^{54} +(8.51736 + 3.10007i) q^{55} +1.12417 q^{56} +(3.58710 + 6.64324i) q^{57} +1.16671 q^{58} +(-6.41833 - 2.33608i) q^{59} +(3.43774 - 3.65605i) q^{60} +(-5.58223 - 4.68405i) q^{61} +(-2.90063 - 3.45684i) q^{62} +(3.01883 + 1.50346i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(7.62598 + 13.2086i) q^{65} +(-4.53199 - 2.96987i) q^{66} +(-2.42040 - 6.64999i) q^{67} +(2.22946 - 1.28718i) q^{68} +(11.5519 - 1.36985i) q^{69} +(-3.20767 - 0.565599i) q^{70} +(-3.31294 + 2.77989i) q^{71} +(-2.50092 + 1.65692i) 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} +(-2.62958 - 8.73012i) q^{78} +(4.30920 - 0.759829i) q^{79} +(1.86241 - 2.21954i) q^{80} +(-8.93194 + 1.10474i) q^{81} +(-1.06170 + 6.02118i) q^{82} +(12.5112 + 7.22333i) q^{83} +(1.78916 + 0.768214i) q^{84} +(-7.00913 + 2.55111i) q^{85} +(2.71458 - 0.988026i) q^{86} +(1.85688 + 0.797290i) q^{87} +(-2.70920 - 1.56416i) q^{88} +(2.38095 - 13.5030i) q^{89} +(7.96974 - 3.46954i) q^{90} +(-3.80378 + 4.53316i) q^{91} +(6.61418 - 1.16626i) q^{92} +(-2.25420 - 7.48389i) 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} +(-5.18337 - 7.82368i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{6} + 9q^{8} + O(q^{10}) \) \( 18q + 3q^{6} + 9q^{8} - 12q^{13} + 12q^{14} - 24q^{15} - 6q^{17} - 6q^{19} - 24q^{22} - 18q^{25} - 18q^{26} - 3q^{27} + 6q^{28} + 6q^{29} - 27q^{33} - 6q^{34} + 24q^{35} - 3q^{36} - 3q^{38} + 6q^{39} - 3q^{41} - 6q^{43} - 24q^{44} + 54q^{45} + 18q^{46} - 30q^{47} + 6q^{48} + 21q^{49} - 3q^{50} - 33q^{51} - 6q^{52} + 60q^{53} + 30q^{55} + 12q^{57} + 12q^{58} - 3q^{59} + 18q^{60} + 54q^{61} - 6q^{62} + 84q^{63} - 9q^{64} - 24q^{65} + 30q^{66} - 15q^{67} + 27q^{68} + 24q^{69} + 24q^{70} - 36q^{71} - 42q^{73} - 6q^{74} - 18q^{78} - 6q^{79} + 3q^{82} - 36q^{83} - 24q^{84} + 6q^{86} - 54q^{87} + 60q^{89} - 12q^{90} - 18q^{91} - 84q^{93} - 6q^{95} + 9q^{97} - 12q^{98} - 30q^{99} + O(q^{100}) \)

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
\(3\) 1.26184 + 1.18649i 0.728523 + 0.685022i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −1.86241 2.21954i −0.832897 0.992608i −0.999978 0.00666440i \(-0.997879\pi\)
0.167081 0.985943i \(-0.446566\pi\)
\(6\) 0.779936 + 1.54651i 0.318408 + 0.631361i
\(7\) 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
\(9\) 0.184473 + 2.99432i 0.0614909 + 0.998108i
\(10\) −0.990970 2.72267i −0.313372 0.860983i
\(11\) −2.70920 + 1.56416i −0.816855 + 0.471611i −0.849331 0.527861i \(-0.822994\pi\)
0.0324759 + 0.999473i \(0.489661\pi\)
\(12\) 0.203962 + 1.72000i 0.0588787 + 0.496521i
\(13\) −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
\(15\) 0.283400 5.01044i 0.0731734 1.29369i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 0.880484 2.41911i 0.213549 0.586720i −0.785953 0.618286i \(-0.787827\pi\)
0.999502 + 0.0315662i \(0.0100495\pi\)
\(18\) −0.850771 + 2.87684i −0.200529 + 0.678077i
\(19\) 4.13617 + 1.37554i 0.948902 + 0.315571i
\(20\) 2.89740i 0.647879i
\(21\) 1.86437 0.561563i 0.406840 0.122543i
\(22\) −3.08079 + 0.543226i −0.656826 + 0.115816i
\(23\) 4.31710 5.14492i 0.900178 1.07279i −0.0968152 0.995302i \(-0.530866\pi\)
0.996993 0.0774881i \(-0.0246900\pi\)
\(24\) −0.396613 + 1.68603i −0.0809583 + 0.344159i
\(25\) −0.589524 + 3.34336i −0.117905 + 0.668671i
\(26\) −4.55877 2.63201i −0.894049 0.516179i
\(27\) −3.31997 + 3.99723i −0.638928 + 0.769267i
\(28\) 1.05637 0.384487i 0.199635 0.0726612i
\(29\) 1.09635 0.399039i 0.203587 0.0740998i −0.238214 0.971213i \(-0.576562\pi\)
0.441801 + 0.897113i \(0.354340\pi\)
\(30\) 1.97998 4.61134i 0.361493 0.841912i
\(31\) −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
\(33\) −5.27443 1.24073i −0.918161 0.215984i
\(34\) 1.65477 1.97208i 0.283790 0.338208i
\(35\) −3.20767 + 0.565599i −0.542196 + 0.0956038i
\(36\) −1.78340 + 2.41236i −0.297233 + 0.402060i
\(37\) 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 \(0.102875\pi\)
−0.782417 + 0.622755i \(0.786014\pi\)
\(42\) 1.94400 + 0.109956i 0.299966 + 0.0169666i
\(43\) 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
\(45\) 6.30245 5.98611i 0.939514 0.892357i
\(46\) 5.81642 3.35811i 0.857584 0.495126i
\(47\) −0.377793 1.03798i −0.0551068 0.151405i 0.909085 0.416611i \(-0.136782\pi\)
−0.964192 + 0.265206i \(0.914560\pi\)
\(48\) −0.949351 + 1.44870i −0.137027 + 0.209102i
\(49\) 2.86813 + 4.96774i 0.409732 + 0.709677i
\(50\) −1.69747 + 2.94010i −0.240058 + 0.415793i
\(51\) 3.98128 2.00784i 0.557491 0.281153i
\(52\) −3.38365 4.03247i −0.469227 0.559203i
\(53\) 5.66806 + 4.75606i 0.778568 + 0.653296i 0.942887 0.333111i \(-0.108099\pi\)
−0.164320 + 0.986407i \(0.552543\pi\)
\(54\) −4.48688 + 2.62067i −0.610587 + 0.356628i
\(55\) 8.51736 + 3.10007i 1.14848 + 0.418013i
\(56\) 1.12417 0.150223
\(57\) 3.58710 + 6.64324i 0.475123 + 0.879919i
\(58\) 1.16671 0.153197
\(59\) −6.41833 2.33608i −0.835596 0.304132i −0.111442 0.993771i \(-0.535547\pi\)
−0.724153 + 0.689639i \(0.757769\pi\)
\(60\) 3.43774 3.65605i 0.443811 0.471994i
\(61\) −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
\(63\) 3.01883 + 1.50346i 0.380337 + 0.189418i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 7.62598 + 13.2086i 0.945887 + 1.63832i
\(66\) −4.53199 2.96987i −0.557850 0.365566i
\(67\) −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
\(69\) 11.5519 1.36985i 1.39068 0.164911i
\(70\) −3.20767 0.565599i −0.383390 0.0676021i
\(71\) −3.31294 + 2.77989i −0.393174 + 0.329912i −0.817848 0.575434i \(-0.804833\pi\)
0.424674 + 0.905346i \(0.360389\pi\)
\(72\) −2.50092 + 1.65692i −0.294737 + 0.195270i
\(73\) −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
\(78\) −2.62958 8.73012i −0.297741 0.988491i
\(79\) 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
\(81\) −8.93194 + 1.10474i −0.992438 + 0.122749i
\(82\) −1.06170 + 6.02118i −0.117245 + 0.664928i
\(83\) 12.5112 + 7.22333i 1.37328 + 0.792863i 0.991340 0.131324i \(-0.0419227\pi\)
0.381940 + 0.924187i \(0.375256\pi\)
\(84\) 1.78916 + 0.768214i 0.195213 + 0.0838190i
\(85\) −7.00913 + 2.55111i −0.760247 + 0.276707i
\(86\) 2.71458 0.988026i 0.292721 0.106542i
\(87\) 1.85688 + 0.797290i 0.199078 + 0.0854784i
\(88\) −2.70920 1.56416i −0.288802 0.166740i
\(89\) 2.38095 13.5030i 0.252380 1.43132i −0.550331 0.834947i \(-0.685498\pi\)
0.802710 0.596369i \(-0.203391\pi\)
\(90\) 7.96974 3.46954i 0.840084 0.365722i
\(91\) −3.80378 + 4.53316i −0.398744 + 0.475205i
\(92\) 6.61418 1.16626i 0.689576 0.121591i
\(93\) −2.25420 7.48389i −0.233750 0.776043i
\(94\) 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
\(99\) −5.18337 7.82368i −0.520948 0.786309i
\(100\) −2.60067 + 2.18222i −0.260067 + 0.218222i
\(101\) −5.82418 1.02696i −0.579528 0.102186i −0.123802 0.992307i \(-0.539509\pi\)
−0.455725 + 0.890121i \(0.650620\pi\)
\(102\) 4.42790 0.525072i 0.438428 0.0519898i
\(103\) 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
\(105\) −4.71865 3.09218i −0.460493 0.301766i
\(106\) 3.69956 + 6.40783i 0.359333 + 0.622383i
\(107\) −2.39183 + 4.14277i −0.231227 + 0.400496i −0.958169 0.286202i \(-0.907607\pi\)
0.726943 + 0.686698i \(0.240941\pi\)
\(108\) −5.11261 + 0.928020i −0.491961 + 0.0892988i
\(109\) −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
\(111\) −14.3213 + 15.2308i −1.35932 + 1.44564i
\(112\) 1.05637 + 0.384487i 0.0998176 + 0.0363306i
\(113\) −16.1668 −1.52085 −0.760424 0.649427i \(-0.775009\pi\)
−0.760424 + 0.649427i \(0.775009\pi\)
\(114\) 1.09865 + 7.46947i 0.102898 + 0.699580i
\(115\) −19.4596 −1.81462
\(116\) 1.09635 + 0.399039i 0.101794 + 0.0370499i
\(117\) 1.78076 15.6913i 0.164631 1.45066i
\(118\) −5.23227 4.39040i −0.481670 0.404169i
\(119\) −1.86023 2.21694i −0.170527 0.203226i
\(120\) 4.48087 2.25979i 0.409045 0.206289i
\(121\) −0.606822 + 1.05105i −0.0551656 + 0.0955496i
\(122\) −3.64354 6.31080i −0.329871 0.571353i
\(123\) −5.80439 + 8.85745i −0.523364 + 0.798649i
\(124\) −1.54339 4.24044i −0.138601 0.380802i
\(125\) −4.02747 + 2.32526i −0.360228 + 0.207978i
\(126\) 2.32256 + 2.44529i 0.206910 + 0.217844i
\(127\) 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
\(129\) 4.99556 + 0.282558i 0.439834 + 0.0248778i
\(130\) 2.64848 + 15.0203i 0.232287 + 1.31736i
\(131\) 0.757267 2.08057i 0.0661627 0.181781i −0.902205 0.431307i \(-0.858053\pi\)
0.968368 + 0.249526i \(0.0802749\pi\)
\(132\) −3.24292 4.34080i −0.282260 0.377818i
\(133\) 3.66404 3.25362i 0.317712 0.282125i
\(134\) 7.07677i 0.611340i
\(135\) 15.0551 0.0756985i 1.29574 0.00651509i
\(136\) 2.53525 0.447033i 0.217396 0.0383328i
\(137\) −0.138747 + 0.165352i −0.0118540 + 0.0141270i −0.771939 0.635697i \(-0.780713\pi\)
0.760085 + 0.649824i \(0.225157\pi\)
\(138\) 11.3237 + 2.66374i 0.963942 + 0.226753i
\(139\) 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
\(141\) 0.754839 1.75801i 0.0635689 0.148051i
\(142\) −4.06393 + 1.47915i −0.341037 + 0.124127i
\(143\) 15.4744 5.63222i 1.29403 0.470990i
\(144\) −2.91680 + 0.701629i −0.243067 + 0.0584691i
\(145\) −2.92754 1.69022i −0.243119 0.140365i
\(146\) 1.30735 7.41438i 0.108197 0.613618i
\(147\) −2.27507 + 9.67150i −0.187645 + 0.797692i
\(148\) −7.75865 + 9.24640i −0.637757 + 0.760050i
\(149\) −4.18590 + 0.738088i −0.342923 + 0.0604665i −0.342457 0.939533i \(-0.611259\pi\)
−0.000465272 1.00000i \(0.500148\pi\)
\(150\) −5.63033 + 1.69590i −0.459715 + 0.138469i
\(151\) 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
\(156\) 0.514882 9.10300i 0.0412236 0.728823i
\(157\) 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
\(159\) 1.50914 + 12.7265i 0.119682 + 1.00928i
\(160\) 2.50922 1.44870i 0.198371 0.114530i
\(161\) −2.58230 7.09481i −0.203514 0.559149i
\(162\) −8.77112 2.01679i −0.689124 0.158454i
\(163\) −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
\(165\) 7.06933 + 14.0176i 0.550346 + 1.09127i
\(166\) 9.28613 + 11.0668i 0.720744 + 0.858949i
\(167\) −9.70512 8.14356i −0.751005 0.630168i 0.184764 0.982783i \(-0.440848\pi\)
−0.935768 + 0.352615i \(0.885292\pi\)
\(168\) 1.41851 + 1.33381i 0.109441 + 0.102906i
\(169\) 13.8228 + 5.03107i 1.06329 + 0.387006i
\(170\) −7.45896 −0.572076
\(171\) −3.35581 + 12.6388i −0.256626 + 0.966511i
\(172\) 2.88880 0.220269
\(173\) 8.86150 + 3.22532i 0.673727 + 0.245217i 0.656152 0.754629i \(-0.272183\pi\)
0.0175755 + 0.999846i \(0.494405\pi\)
\(174\) 1.47220 + 1.38430i 0.111607 + 0.104943i
\(175\) 2.92358 + 2.45318i 0.221002 + 0.185443i
\(176\) −2.01084 2.39643i −0.151573 0.180638i
\(177\) −5.32716 10.5631i −0.400414 0.793968i
\(178\) 6.85566 11.8743i 0.513853 0.890020i
\(179\) 3.74454 + 6.48573i 0.279880 + 0.484766i 0.971355 0.237634i \(-0.0763720\pi\)
−0.691475 + 0.722401i \(0.743039\pi\)
\(180\) 8.67575 0.534491i 0.646653 0.0398386i
\(181\) 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
\(183\) −1.48629 12.5338i −0.109870 0.926524i
\(184\) 6.61418 + 1.16626i 0.487604 + 0.0859778i
\(185\) 26.7905 22.4799i 1.96968 1.65276i
\(186\) 0.441383 7.80354i 0.0323637 0.572183i
\(187\) 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 \(0.0888738\pi\)
−0.961275 + 0.275592i \(0.911126\pi\)
\(192\) −1.65845 + 0.499538i −0.119688 + 0.0360511i
\(193\) 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
\(195\) −6.04913 + 25.7153i −0.433187 + 1.84151i
\(196\) −0.996090 + 5.64911i −0.0711493 + 0.403508i
\(197\) −15.2618 8.81139i −1.08736 0.627786i −0.154485 0.987995i \(-0.549372\pi\)
−0.932871 + 0.360210i \(0.882705\pi\)
\(198\) −2.19492 9.12467i −0.155986 0.648462i
\(199\) −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
\(201\) 4.83601 11.2630i 0.341106 0.794430i
\(202\) −5.12170 2.95701i −0.360361 0.208055i
\(203\) 0.227753 1.29165i 0.0159851 0.0906562i
\(204\) 4.34045 + 1.02103i 0.303892 + 0.0714861i
\(205\) 11.3869 13.5704i 0.795297 0.947798i
\(206\) 19.6290 3.46111i 1.36761 0.241147i
\(207\) 16.2019 + 11.9777i 1.12611 + 0.832508i
\(208\) 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
\(213\) −7.47872 0.423010i −0.512433 0.0289842i
\(214\) −3.66449 + 3.07487i −0.250500 + 0.210194i
\(215\) −8.24284 1.45344i −0.562157 0.0991235i
\(216\) −5.12168 0.876562i −0.348486 0.0596425i
\(217\) −4.39325 + 2.53644i −0.298233 + 0.172185i
\(218\) −2.94186 8.08270i −0.199248 0.547429i
\(219\) 7.14743 10.9069i 0.482979 0.737021i
\(220\) 4.53199 + 7.84964i 0.305547 + 0.529223i
\(221\) −6.77574 + 11.7359i −0.455786 + 0.789444i
\(222\) −18.6669 + 9.41408i −1.25284 + 0.631832i
\(223\) −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
\(225\) −10.1198 1.14847i −0.674656 0.0765645i
\(226\) −15.1919 5.52938i −1.01055 0.367809i
\(227\) 24.7738 1.64430 0.822148 0.569274i \(-0.192776\pi\)
0.822148 + 0.569274i \(0.192776\pi\)
\(228\) −1.52232 + 7.39477i −0.100818 + 0.489730i
\(229\) −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
\(231\) −4.17259 + 4.43756i −0.274536 + 0.291970i
\(232\) 0.893754 + 0.749949i 0.0586778 + 0.0492366i
\(233\) −13.8205 16.4706i −0.905410 1.07903i −0.996534 0.0831862i \(-0.973490\pi\)
0.0911239 0.995840i \(-0.470954\pi\)
\(234\) 7.04012 14.1360i 0.460227 0.924097i
\(235\) −1.60022 + 2.77167i −0.104387 + 0.180804i
\(236\) −3.41512 5.91517i −0.222306 0.385045i
\(237\) 6.33905 + 4.15406i 0.411766 + 0.269835i
\(238\) −0.989809 2.71948i −0.0641598 0.176278i
\(239\) −10.5128 + 6.06955i −0.680015 + 0.392607i −0.799861 0.600186i \(-0.795093\pi\)
0.119846 + 0.992793i \(0.461760\pi\)
\(240\) 4.98353 0.590959i 0.321685 0.0381463i
\(241\) −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
\(243\) −12.5814 9.20367i −0.807099 0.590416i
\(244\) −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
\(249\) 7.21666 + 23.9591i 0.457337 + 1.51835i
\(250\) −4.57987 + 0.807555i −0.289657 + 0.0510743i
\(251\) −12.5021 + 14.8994i −0.789127 + 0.940445i −0.999307 0.0372181i \(-0.988150\pi\)
0.210181 + 0.977663i \(0.432595\pi\)
\(252\) 1.34615 + 3.09218i 0.0847995 + 0.194789i
\(253\) −3.64843 + 20.6913i −0.229375 + 1.30085i
\(254\) 6.67798 + 3.85554i 0.419014 + 0.241918i
\(255\) −11.8713 5.09718i −0.743407 0.319198i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 10.1861 3.70746i 0.635395 0.231265i −0.00418306 0.999991i \(-0.501332\pi\)
0.639578 + 0.768727i \(0.279109\pi\)
\(258\) 4.59765 + 1.97410i 0.286237 + 0.122902i
\(259\) 11.7511 + 6.78452i 0.730180 + 0.421569i
\(260\) −2.64848 + 15.0203i −0.164252 + 0.931517i
\(261\) 1.39710 + 3.20922i 0.0864783 + 0.198646i
\(262\) 1.42320 1.69610i 0.0879253 0.104785i
\(263\) 30.4663 5.37204i 1.87863 0.331254i 0.887150 0.461481i \(-0.152682\pi\)
0.991484 + 0.130227i \(0.0415706\pi\)
\(264\) −1.56271 5.18816i −0.0961783 0.319309i
\(265\) 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 0.946145 0.323744i \(-0.104942\pi\)
−0.999812 + 0.0193811i \(0.993830\pi\)
\(270\) 14.1731 + 5.07803i 0.862547 + 0.309039i
\(271\) 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
\(273\) −10.1783 + 1.20697i −0.616020 + 0.0730491i
\(274\) −0.186934 + 0.107926i −0.0112931 + 0.00652006i
\(275\) −3.63240 9.97993i −0.219042 0.601812i
\(276\) 9.72979 + 6.37605i 0.585665 + 0.383793i
\(277\) 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
\(279\) 6.03514 12.1181i 0.361314 0.725489i
\(280\) −2.09366 2.49513i −0.125120 0.149112i
\(281\) 8.43804 + 7.08036i 0.503371 + 0.422379i 0.858789 0.512329i \(-0.171217\pi\)
−0.355418 + 0.934707i \(0.615661\pi\)
\(282\) 1.31059 1.39382i 0.0780445 0.0830006i
\(283\) −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
\(285\) 8.06427 20.3342i 0.477686 1.20449i
\(286\) 16.4675 0.973744
\(287\) 6.45871 + 2.35078i 0.381246 + 0.138762i
\(288\) −2.98087 0.338289i −0.175649 0.0199339i
\(289\) 7.94592 + 6.66742i 0.467407 + 0.392201i
\(290\) −2.17290 2.58956i −0.127597 0.152064i
\(291\) −6.65990 + 3.35871i −0.390410 + 0.196891i
\(292\) 3.76438 6.52009i 0.220294 0.381560i
\(293\) 10.0719 + 17.4450i 0.588406 + 1.01915i 0.994441 + 0.105291i \(0.0335775\pi\)
−0.406036 + 0.913857i \(0.633089\pi\)
\(294\) −5.44572 + 8.31011i −0.317601 + 0.484656i
\(295\) 6.76857 + 18.5965i 0.394081 + 1.08273i
\(296\) −10.4532 + 6.03516i −0.607580 + 0.350787i
\(297\) 2.74216 16.0222i 0.159116 0.929705i
\(298\) −4.18590 0.738088i −0.242483 0.0427563i
\(299\) −27.0830 + 22.7253i −1.56625 + 1.31424i
\(300\) −5.87081 0.332064i −0.338951 0.0191717i
\(301\) −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
\(306\) 6.21029 + 4.59112i 0.355019 + 0.262457i
\(307\) −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
\(309\) 33.6056 + 7.90520i 1.91175 + 0.449711i
\(310\) −2.27041 + 12.8761i −0.128950 + 0.731314i
\(311\) −1.86672 1.07775i −0.105852 0.0611137i 0.446139 0.894963i \(-0.352799\pi\)
−0.551991 + 0.833850i \(0.686132\pi\)
\(312\) 3.59724 8.37792i 0.203654 0.474306i
\(313\) 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
\(315\) −2.28532 9.50047i −0.128763 0.535291i
\(316\) 3.78945 + 2.18784i 0.213173 + 0.123076i
\(317\) −0.961500 + 5.45293i −0.0540032 + 0.306267i −0.999831 0.0184023i \(-0.994142\pi\)
0.945827 + 0.324670i \(0.105253\pi\)
\(318\) −2.93459 + 12.4751i −0.164564 + 0.699571i
\(319\) −2.34608 + 2.79595i −0.131355 + 0.156543i
\(320\) 2.85338 0.503128i 0.159509 0.0281257i
\(321\) −7.93346 + 2.38962i −0.442803 + 0.133375i
\(322\) 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
\(327\) 0.841320 14.8743i 0.0465251 0.822553i
\(328\) −4.68364 + 3.93004i −0.258611 + 0.217000i
\(329\) −1.22288 0.215627i −0.0674195 0.0118879i
\(330\) 1.84871 + 15.5901i 0.101768 + 0.858204i
\(331\) −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
\(333\) −36.1424 + 2.22664i −1.98059 + 0.122019i
\(334\) −6.33457 10.9718i −0.346612 0.600350i
\(335\) −10.2521 + 17.7572i −0.560133 + 0.970179i
\(336\) 0.876777 + 1.73854i 0.0478321 + 0.0948449i
\(337\) 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
\(339\) −20.3999 19.1818i −1.10797 1.04181i
\(340\) −7.00913 2.55111i −0.380123 0.138354i
\(341\) 14.1168 0.764466
\(342\) −7.47615 + 10.7288i −0.404264 + 0.580147i
\(343\) 14.3177 0.773081
\(344\) 2.71458 + 0.988026i 0.146360 + 0.0532708i
\(345\) −24.5548 23.0886i −1.32199 1.24305i
\(346\) 7.22396 + 6.06162i 0.388363 + 0.325875i
\(347\) 2.93143 + 3.49354i 0.157367 + 0.187543i 0.838967 0.544182i \(-0.183160\pi\)
−0.681600 + 0.731725i \(0.738716\pi\)
\(348\) 0.909962 + 1.80434i 0.0487791 + 0.0967226i
\(349\) 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
\(351\) 20.8647 17.6871i 1.11367 0.944066i
\(352\) −1.06995 2.93965i −0.0570284 0.156684i
\(353\) −5.92549 + 3.42108i −0.315382 + 0.182086i −0.649332 0.760505i \(-0.724952\pi\)
0.333950 + 0.942591i \(0.391618\pi\)
\(354\) −1.39311 11.7480i −0.0740430 0.624400i
\(355\) 12.3401 + 2.17590i 0.654947 + 0.115485i
\(356\) 10.5035 8.81346i 0.556683 0.467113i
\(357\) 0.283068 5.00457i 0.0149815 0.264870i
\(358\) 1.30046 + 7.37530i 0.0687317 + 0.389797i
\(359\) −1.39824 + 3.84165i −0.0737965 + 0.202754i −0.971106 0.238647i \(-0.923296\pi\)
0.897310 + 0.441401i \(0.145518\pi\)
\(360\) 8.33535 + 2.46503i 0.439311 + 0.129918i
\(361\) 15.2158 + 11.3790i 0.800829 + 0.598893i
\(362\) 15.9735i 0.839549i
\(363\) −2.01277 + 0.606261i −0.105643 + 0.0318205i
\(364\) −5.82772 + 1.02758i −0.305456 + 0.0538601i
\(365\) −14.0217 + 16.7104i −0.733927 + 0.874660i
\(366\) 2.89015 12.2863i 0.151071 0.642213i
\(367\) −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
\(369\) −17.8335 + 4.28980i −0.928375 + 0.223318i
\(370\) 32.8635 11.9613i 1.70849 0.621840i
\(371\) 7.81621 2.84487i 0.405797 0.147698i
\(372\) 3.08373 7.18197i 0.159884 0.372368i
\(373\) 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
\(375\) −7.84092 1.84446i −0.404904 0.0952475i
\(376\) 0.710018 0.846167i 0.0366164 0.0436377i
\(377\) −6.04829 + 1.06648i −0.311503 + 0.0549264i
\(378\) 0.0293703 + 5.84126i 0.00151065 + 0.300442i
\(379\) 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 0.952520 0.304477i \(-0.0984816\pi\)
−0.999213 + 0.0396663i \(0.987371\pi\)
\(384\) −1.72929 0.0978116i −0.0882473 0.00499143i
\(385\) 7.80554 6.54963i 0.397807 0.333800i
\(386\) 11.8171 + 2.08368i 0.601476 + 0.106057i
\(387\) 5.96833 + 6.28373i 0.303387 + 0.319420i
\(388\) −3.72945 + 2.15320i −0.189334 + 0.109312i
\(389\) −5.43196 14.9242i −0.275411 0.756686i −0.997868 0.0652695i \(-0.979209\pi\)
0.722457 0.691416i \(-0.243013\pi\)
\(390\) −14.4795 + 22.0955i −0.733196 + 1.11885i
\(391\) −8.64499 14.9736i −0.437196 0.757245i
\(392\) −2.86813 + 4.96774i −0.144862 + 0.250909i
\(393\) 3.42413 1.72686i 0.172725 0.0871084i
\(394\) −11.3277 13.4998i −0.570681 0.680112i
\(395\) −9.71199 8.14933i −0.488663 0.410037i
\(396\) 1.05827 9.32509i 0.0531803 0.468603i
\(397\) −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
\(399\) 8.48382 + 0.241809i 0.424722 + 0.0121056i
\(400\) −3.39493 −0.169747
\(401\) −5.57564 2.02937i −0.278434 0.101342i 0.199029 0.979994i \(-0.436221\pi\)
−0.477463 + 0.878652i \(0.658443\pi\)
\(402\) 8.39653 8.92974i 0.418781 0.445375i
\(403\) 18.1968 + 15.2690i 0.906449 + 0.760601i
\(404\) −3.80146 4.53041i −0.189130 0.225396i
\(405\) 19.0870 + 17.7673i 0.948440 + 0.882864i
\(406\) 0.655789 1.13586i 0.0325463 0.0563718i
\(407\) −18.8799 32.7009i −0.935841 1.62092i
\(408\) 3.72948 + 2.44397i 0.184637 + 0.120995i
\(409\) 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
\(411\) −0.371266 + 0.0440256i −0.0183132 + 0.00217162i
\(412\) 19.6290 + 3.46111i 0.967049 + 0.170517i
\(413\) −5.88194 + 4.93553i −0.289431 + 0.242862i
\(414\) 11.1282 + 16.7968i 0.546923 + 0.825515i
\(415\) −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 \(0.0643135\pi\)
−0.979658 + 0.200675i \(0.935686\pi\)
\(420\) −1.62707 5.40184i −0.0793931 0.263583i
\(421\) −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
\(423\) 3.03835 1.32271i 0.147730 0.0643125i
\(424\) −1.28484 + 7.28671i −0.0623976 + 0.353874i
\(425\) 7.56888 + 4.36989i 0.367144 + 0.211971i
\(426\) −6.88302 2.95537i −0.333483 0.143188i
\(427\) −7.69786 + 2.80179i −0.372526 + 0.135588i
\(428\) −4.49517 + 1.63611i −0.217282 + 0.0790842i
\(429\) 26.2088 + 11.2533i 1.26537 + 0.543314i
\(430\) −7.24863 4.18500i −0.349560 0.201819i
\(431\) 5.03223 28.5392i 0.242394 1.37469i −0.584073 0.811701i \(-0.698542\pi\)
0.826467 0.562985i \(-0.190347\pi\)
\(432\) −4.51301 2.57542i −0.217132 0.123910i
\(433\) −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
\(435\) −1.68866 5.60629i −0.0809649 0.268801i
\(436\) 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
\(441\) −14.3459 + 9.50451i −0.683139 + 0.452596i
\(442\) −10.3810 + 8.71073i −0.493776 + 0.414327i
\(443\) −4.75117 0.837760i −0.225735 0.0398032i 0.0596365 0.998220i \(-0.481006\pi\)
−0.285371 + 0.958417i \(0.592117\pi\)
\(444\) −20.7610 + 2.46189i −0.985271 + 0.116836i
\(445\) −34.4047 + 19.8636i −1.63094 + 0.941624i
\(446\) −1.90393 5.23100i −0.0901537 0.247695i
\(447\) −6.15767 4.03519i −0.291248 0.190858i
\(448\) 0.562083 + 0.973556i 0.0265559 + 0.0459962i
\(449\) −1.78666 + 3.09458i −0.0843176 + 0.146042i −0.905100 0.425198i \(-0.860204\pi\)
0.820783 + 0.571241i \(0.193538\pi\)
\(450\) −9.11674 4.54039i −0.429767 0.214036i
\(451\) −12.2944 14.6519i −0.578921 0.689932i
\(452\) −12.3845 10.3918i −0.582519 0.488791i
\(453\) −10.6089 + 11.2826i −0.498449 + 0.530103i
\(454\) 23.2798 + 8.47314i 1.09257 + 0.397664i
\(455\) 17.1457 0.803804
\(456\) −3.95967 + 6.42814i −0.185428 + 0.301025i
\(457\) 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
\(459\) 6.74655 + 11.5509i 0.314902 + 0.539148i
\(460\) −14.9069 12.5084i −0.695038 0.583206i
\(461\) −8.46456 10.0877i −0.394234 0.469830i 0.532019 0.846732i \(-0.321433\pi\)
−0.926253 + 0.376903i \(0.876989\pi\)
\(462\) −5.43869 + 2.74283i −0.253031 + 0.127608i
\(463\) −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
\(465\) −12.4125 + 18.9414i −0.575617 + 0.878386i
\(466\) −7.35373 20.2042i −0.340655 0.935941i
\(467\) 8.01942 4.63001i 0.371094 0.214251i −0.302842 0.953041i \(-0.597935\pi\)
0.673936 + 0.738789i \(0.264602\pi\)
\(468\) 11.4503 10.8756i 0.529292 0.502725i
\(469\) −7.83459 1.38145i −0.361768 0.0637894i
\(470\) −2.45169 + 2.05721i −0.113088 + 0.0948919i
\(471\) 3.50603 + 0.198308i 0.161549 + 0.00913753i
\(472\) −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
\(477\) −13.1956 + 17.8494i −0.604185 + 0.817266i
\(478\) −11.9547 + 2.10793i −0.546795 + 0.0964147i
\(479\) 3.61743 4.31108i 0.165284 0.196978i −0.677045 0.735942i \(-0.736740\pi\)
0.842329 + 0.538964i \(0.181184\pi\)
\(480\) 4.88511 + 1.14915i 0.222974 + 0.0524512i
\(481\) 11.0333 62.5731i 0.503076 2.85309i
\(482\) −18.8331 10.8733i −0.857824 0.495265i
\(483\) 5.15949 12.0164i 0.234765 0.546764i
\(484\) −1.14045 + 0.415090i −0.0518387 + 0.0188677i
\(485\) 11.7249 4.26751i 0.532400 0.193778i
\(486\) −8.67484 12.9517i −0.393499 0.587502i
\(487\) 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
\(489\) 3.70098 15.7331i 0.167364 0.711476i
\(490\) 10.6833 12.7318i 0.482621 0.575165i
\(491\) 32.2309 5.68317i 1.45456 0.256478i 0.610196 0.792250i \(-0.291091\pi\)
0.844363 + 0.535772i \(0.179979\pi\)
\(492\) −10.1399 + 3.05421i −0.457141 + 0.137694i
\(493\) 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
\(498\) −1.41305 + 24.9824i −0.0633203 + 1.11949i
\(499\) 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
\(501\) −2.58402 21.7909i −0.115446 0.973546i
\(502\) −16.8441 + 9.72492i −0.751787 + 0.434044i
\(503\) 7.95923 + 21.8678i 0.354885 + 0.975037i 0.980778 + 0.195128i \(0.0625124\pi\)
−0.625893 + 0.779909i \(0.715265\pi\)
\(504\) 0.207378 + 3.36611i 0.00923733 + 0.149939i
\(505\) 8.56766 + 14.8396i 0.381256 + 0.660354i
\(506\) −10.5052 + 18.1956i −0.467014 + 0.808892i
\(507\) 11.4728 + 22.7490i 0.509523 + 1.01032i
\(508\) 4.95658 + 5.90702i 0.219913 + 0.262082i
\(509\) 16.6553 + 13.9754i 0.738232 + 0.619450i 0.932362 0.361525i \(-0.117744\pi\)
−0.194130 + 0.980976i \(0.562188\pi\)
\(510\) −9.41200 8.85000i −0.416770 0.391884i
\(511\) −7.95315 2.89471i −0.351827 0.128054i
\(512\) −1.00000 −0.0441942
\(513\) −19.2303 + 11.9664i −0.849038 + 0.528331i
\(514\) 10.8399 0.478126
\(515\) −54.2675 19.7518i −2.39131 0.870367i
\(516\) 3.64519 + 3.42753i 0.160471 + 0.150889i
\(517\) 2.64708 + 2.22116i 0.116418 + 0.0976866i
\(518\) 8.72201 + 10.3945i 0.383223 + 0.456707i
\(519\) 7.35496 + 14.5839i 0.322847 + 0.640164i
\(520\) −7.62598 + 13.2086i −0.334422 + 0.579235i
\(521\) 7.53777 + 13.0558i 0.330236 + 0.571985i 0.982558 0.185957i \(-0.0595384\pi\)
−0.652322 + 0.757942i \(0.726205\pi\)
\(522\) 0.215227 + 3.49352i 0.00942021 + 0.152907i
\(523\) 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
\(525\) 0.778413 + 6.56432i 0.0339727 + 0.286490i
\(526\) 30.4663 + 5.37204i 1.32840 + 0.234232i
\(527\) −8.89914 + 7.46727i −0.387653 + 0.325279i
\(528\) 0.305986 5.40975i 0.0133163 0.235429i
\(529\) −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
\(534\) 22.7396 6.84932i 0.984037 0.296399i
\(535\) 13.6496 2.40679i 0.590124 0.104055i
\(536\) 4.54886 5.42112i 0.196481 0.234157i
\(537\) −2.97027 + 12.6268i −0.128176 + 0.544887i
\(538\) 0.880210 4.99192i 0.0379485 0.215217i
\(539\) −15.5407 8.97240i −0.669384 0.386469i
\(540\) 11.5816 + 9.61927i 0.498391 + 0.413948i
\(541\) −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
\(543\) −10.9157 + 25.4226i −0.468439 + 1.09099i
\(544\) 2.22946 + 1.28718i 0.0955874 + 0.0551874i
\(545\) −4.32762 + 24.5432i −0.185375 + 1.05131i
\(546\) −9.97729 2.34701i −0.426989 0.100443i
\(547\) 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
\(549\) 12.9958 17.5791i 0.554647 0.750257i
\(550\) 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
\(555\) 60.4776 + 3.42072i 2.56713 + 0.145202i
\(556\) 14.3679 12.0561i 0.609336 0.511294i
\(557\) −0.424076 0.0747760i −0.0179687 0.00316836i 0.164657 0.986351i \(-0.447348\pi\)
−0.182625 + 0.983183i \(0.558460\pi\)
\(558\) 9.81580 9.32311i 0.415536 0.394679i
\(559\) −13.1694 + 7.60334i −0.557005 + 0.321587i
\(560\) −1.11401 3.06073i −0.0470757 0.129339i
\(561\) −7.64552 + 11.6670i −0.322794 + 0.492581i
\(562\) 5.50754 + 9.53934i 0.232322 + 0.402393i
\(563\) 2.44919 4.24212i 0.103221 0.178784i −0.809789 0.586721i \(-0.800418\pi\)
0.913010 + 0.407937i \(0.133752\pi\)
\(564\) 1.70827 0.861512i 0.0719310 0.0362762i
\(565\) 30.1093 + 35.8829i 1.26671 + 1.50961i
\(566\) −3.02654 2.53957i −0.127215 0.106746i
\(567\) −3.94496 + 9.31670i −0.165673 + 0.391264i
\(568\) −4.06393 1.47915i −0.170519 0.0620637i
\(569\) −9.33523 −0.391353 −0.195677 0.980668i \(-0.562690\pi\)
−0.195677 + 0.980668i \(0.562690\pi\)
\(570\) 14.5326 16.3497i 0.608705 0.684815i
\(571\) 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
\(573\) −9.03812 + 9.61207i −0.377573 + 0.401550i
\(574\) 5.26519 + 4.41802i 0.219765 + 0.184405i
\(575\) 14.6563 + 17.4667i 0.611209 + 0.728410i
\(576\) −2.68540 1.33740i −0.111892 0.0557251i
\(577\) −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
\(579\) 17.3836 + 11.3917i 0.722437 + 0.473422i
\(580\) −1.15618 3.17657i −0.0480076 0.131900i
\(581\) 14.0646 8.12021i 0.583499 0.336883i
\(582\) −7.40700 + 0.878341i −0.307030 + 0.0364084i
\(583\) −22.7951 4.01940i −0.944078 0.166466i
\(584\) 5.76736 4.83939i 0.238655 0.200255i
\(585\) −38.1440 + 25.2713i −1.57706 + 1.04484i
\(586\) 3.49793 + 19.8377i 0.144498 + 0.819489i
\(587\) 13.2139 36.3050i 0.545398 1.49847i −0.294462 0.955663i \(-0.595140\pi\)
0.839859 0.542804i \(-0.182637\pi\)
\(588\) −7.95952 + 5.94641i −0.328245 + 0.245226i
\(589\) −13.0605 14.7080i −0.538150 0.606034i
\(590\) 19.7900i 0.814740i
\(591\) −8.80325 29.2265i −0.362117 1.20222i
\(592\) −11.8869 + 2.09599i −0.488551 + 0.0861446i
\(593\) −2.81505 + 3.35484i −0.115600 + 0.137767i −0.820741 0.571300i \(-0.806439\pi\)
0.705141 + 0.709067i \(0.250884\pi\)
\(594\) 8.05672 14.1181i 0.330571 0.579273i
\(595\) −1.45606 + 8.25771i −0.0596925 + 0.338533i
\(596\) −3.68102 2.12524i −0.150781 0.0870532i
\(597\) −3.60211 1.54664i −0.147424 0.0632999i
\(598\) −33.2222 + 12.0919i −1.35856 + 0.494474i
\(599\) −40.2689 + 14.6567i −1.64534 + 0.598855i −0.987961 0.154704i \(-0.950558\pi\)
−0.657380 + 0.753559i \(0.728335\pi\)
\(600\) −5.40319 2.31997i −0.220584 0.0947125i
\(601\) −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
\(603\) 19.4657 8.47419i 0.792705 0.345096i
\(604\) −5.74742 + 6.84951i −0.233859 + 0.278702i
\(605\) 3.46299 0.610618i 0.140791 0.0248252i
\(606\) −2.95428 9.80813i −0.120010 0.398428i
\(607\) 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
\(612\) 4.26551 + 6.43828i 0.172423 + 0.260252i
\(613\) 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
\(615\) 30.4696 3.61316i 1.22865 0.145697i
\(616\) −3.04559 + 1.75837i −0.122710 + 0.0708468i
\(617\) 15.8059 + 43.4264i 0.636322 + 1.74828i 0.662982 + 0.748636i \(0.269291\pi\)
−0.0266596 + 0.999645i \(0.508487\pi\)
\(618\) 28.8752 + 18.9222i 1.16153 + 0.761164i
\(619\) −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
\(621\) 6.23279 + 34.3374i 0.250113 + 1.37791i
\(622\) −1.38553 1.65121i −0.0555547 0.0662076i
\(623\) −11.8076 9.90779i −0.473063 0.396947i
\(624\) 6.24572 6.64234i 0.250029 0.265906i
\(625\) 28.6128 + 10.4142i 1.14451 + 0.416568i
\(626\) 16.9317 0.676727
\(627\) −20.1093 12.3871i −0.803087 0.494693i
\(628\) 2.02744 0.0809038
\(629\) 29.1994 + 10.6277i 1.16426 + 0.423755i
\(630\) 1.10186 9.70915i 0.0438991 0.386822i
\(631\) −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
\(633\) −5.95579 + 3.00362i −0.236722 + 0.119383i
\(634\) −2.76853 + 4.79523i −0.109952 + 0.190443i
\(635\) −11.1710 19.3488i −0.443309 0.767834i
\(636\) −7.02436 + 10.7191i −0.278534 + 0.425040i
\(637\) −10.3275 28.3747i −0.409192 1.12425i
\(638\) −3.16086 + 1.82492i −0.125140 + 0.0722494i
\(639\) −8.93504 9.40721i −0.353465 0.372144i
\(640\) 2.85338 + 0.503128i 0.112790 + 0.0198879i
\(641\) −2.18494 + 1.83339i −0.0863001 + 0.0724144i −0.684917 0.728621i \(-0.740162\pi\)
0.598617 + 0.801035i \(0.295717\pi\)
\(642\) −8.27231 0.467897i −0.326482 0.0184664i
\(643\) 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 \(0.130839\pi\)
−0.916705 + 0.399566i \(0.869161\pi\)
\(648\) −5.42270 7.18292i −0.213024 0.282172i
\(649\) 21.0426 3.71037i 0.825992 0.145645i
\(650\) 11.4872 13.6900i 0.450567 0.536965i
\(651\) −8.55303 2.01197i −0.335220 0.0788554i
\(652\) 1.62039 9.18969i 0.0634594 0.359896i
\(653\) −35.1702 20.3055i −1.37632 0.794617i −0.384603 0.923082i \(-0.625662\pi\)
−0.991714 + 0.128465i \(0.958995\pi\)
\(654\) 5.87790 13.6896i 0.229844 0.535304i
\(655\) −6.02826 + 2.19411i −0.235543 + 0.0857308i
\(656\) −5.74534 + 2.09113i −0.224318 + 0.0816450i
\(657\) 21.9599 5.28239i 0.856736 0.206086i
\(658\) −1.07538 0.620872i −0.0419228 0.0242041i
\(659\) 6.33474 35.9261i 0.246766 1.39948i −0.569588 0.821930i \(-0.692897\pi\)
0.816354 0.577552i \(-0.195992\pi\)
\(660\) −3.59490 + 15.2822i −0.139931 + 0.594857i
\(661\) −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
\(663\) −22.4745 + 6.76948i −0.872837 + 0.262905i
\(664\) 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
\(669\) 0.544490 9.62645i 0.0210512 0.372180i
\(670\) −15.7072 + 13.1799i −0.606820 + 0.509183i
\(671\) 22.4500 + 3.95854i 0.866672 + 0.152818i
\(672\) 0.229287 + 1.93356i 0.00884493 + 0.0745888i
\(673\) 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
\(675\) −11.4070 13.4563i −0.439054 0.517933i
\(676\) 7.35494 + 12.7391i 0.282882 + 0.489966i
\(677\) 16.1874 28.0374i 0.622132 1.07756i −0.366956 0.930238i \(-0.619600\pi\)
0.989088 0.147326i \(-0.0470665\pi\)
\(678\) −12.6091 25.0022i −0.484249 0.960204i
\(679\) 3.11180 + 3.70850i 0.119420 + 0.142319i
\(680\) −5.71389 4.79453i −0.219118 0.183862i
\(681\) 31.2605 + 29.3939i 1.19791 + 1.12638i
\(682\) 13.2654 + 4.82822i 0.507959 + 0.184882i
\(683\) 12.5635 0.480728 0.240364 0.970683i \(-0.422733\pi\)
0.240364 + 0.970683i \(0.422733\pi\)
\(684\) −10.6947 + 7.52478i −0.408924 + 0.287717i
\(685\) 0.625411 0.0238957
\(686\) 13.4542 + 4.89693i 0.513683 + 0.186965i
\(687\) −31.2869 29.4188i −1.19367 1.12240i
\(688\) 2.21295 + 1.85688i 0.0843678 + 0.0707930i
\(689\) −25.0360 29.8367i −0.953796 1.13669i
\(690\) −15.1772 30.0945i −0.577787 1.14568i
\(691\) −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
\(693\) −10.5303 + 0.648743i −0.400012 + 0.0246437i
\(694\) 1.55978 + 4.28546i 0.0592084 + 0.162674i
\(695\) −47.0630 + 27.1719i −1.78520 + 1.03069i
\(696\) 0.237965 + 2.00675i 0.00902004 + 0.0760655i
\(697\) 15.5007 + 2.73319i 0.587130 + 0.103527i
\(698\) 1.24085 1.04120i 0.0469668 0.0394098i
\(699\) 2.10303 37.1812i 0.0795441 1.40632i
\(700\) 0.662722 + 3.75848i 0.0250485 + 0.142057i
\(701\) −10.8602 + 29.8381i −0.410183 + 1.12697i 0.546911 + 0.837191i \(0.315803\pi\)
−0.957094 + 0.289777i \(0.906419\pi\)
\(702\) 25.6557 9.48427i 0.968312 0.357961i
\(703\) −16.6033 + 49.9249i −0.626204 + 1.88295i
\(704\) 3.12832i 0.117903i
\(705\) −5.30779 + 1.59875i −0.199903 + 0.0602122i
\(706\) −6.73822 + 1.18813i −0.253596 + 0.0447159i
\(707\) −4.27347 + 5.09293i −0.160721 + 0.191539i
\(708\) 2.70897 11.5160i 0.101809 0.432798i
\(709\) 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
\(711\) 3.07010 + 12.7630i 0.115138 + 0.478649i
\(712\) 12.8844 4.68955i 0.482864 0.175748i
\(713\) −28.4797 + 10.3658i −1.06657 + 0.388201i
\(714\) 1.97766 4.60594i 0.0740121 0.172373i
\(715\) −41.3206 23.8565i −1.54530 0.892182i
\(716\) −1.30046 + 7.37530i −0.0486007 + 0.275628i
\(717\) −20.4669 4.81453i −0.764350 0.179802i
\(718\) −2.62784 + 3.13174i −0.0980701 + 0.116875i
\(719\) 14.7056 2.59299i 0.548426 0.0967023i 0.107432 0.994212i \(-0.465737\pi\)
0.440994 + 0.897510i \(0.354626\pi\)
\(720\) 6.98958 + 5.16722i 0.260486 + 0.192571i
\(721\) 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
\(726\) −2.09874 0.118708i −0.0778915 0.00440568i
\(727\) −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
\(729\) −4.95565 26.5413i −0.183543 0.983012i
\(730\) −18.8913 + 10.9069i −0.699199 + 0.403683i
\(731\) −2.54354 6.98831i −0.0940761 0.258472i
\(732\) 6.91800 10.5568i 0.255697 0.390191i
\(733\) 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
\(735\) 25.7034 12.9627i 0.948083 0.478137i
\(736\) 4.31710 + 5.14492i 0.159131 + 0.189644i
\(737\) 16.9590 + 14.2303i 0.624692 + 0.524178i
\(738\) −18.2252 2.06832i −0.670879 0.0761359i
\(739\) −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
\(741\) −12.5232 37.7178i −0.460051 1.38560i
\(742\) 8.31784 0.305357
\(743\) 27.7676 + 10.1066i 1.01870 + 0.370775i 0.796766 0.604288i \(-0.206542\pi\)
0.221930 + 0.975063i \(0.428764\pi\)
\(744\) 5.35414 5.69414i 0.196292 0.208757i
\(745\) 9.43410 + 7.91615i 0.345639 + 0.290025i
\(746\) 5.12636 + 6.10936i 0.187689 + 0.223680i
\(747\) −19.3210 + 38.7950i −0.706919 + 1.41943i
\(748\) −4.02671 + 6.97446i −0.147231 + 0.255012i
\(749\) 2.68881 + 4.65716i 0.0982470 + 0.170169i
\(750\) −6.73722 4.41498i −0.246008 0.161212i
\(751\) −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
\(753\) −33.4537 + 3.96703i −1.21912 + 0.144566i
\(754\) −6.04829 1.06648i −0.220266 0.0388388i
\(755\) 19.8458 16.6526i 0.722261 0.606049i
\(756\) −1.97023 + 5.49903i −0.0716566 + 0.199998i
\(757\) −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 \(-0.822658\pi\)
0.848774 0.528757i \(-0.177342\pi\)
\(762\) 3.85197 + 12.7884i 0.139542 + 0.463276i
\(763\) −9.52252 + 1.67908i −0.344739 + 0.0607867i
\(764\) −4.89644 + 5.83535i −0.177147 + 0.211116i
\(765\) −8.93185 20.5170i −0.322932 0.741793i
\(766\) 0.913805 5.18245i 0.0330171 0.187249i
\(767\) 31.1375 + 17.9773i 1.12431 + 0.649122i
\(768\) −1.59154 0.683364i −0.0574299 0.0246588i
\(769\) −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
\(771\) 17.2521 + 7.40758i 0.621321 + 0.266777i