Properties

Label 114.2.l.a.71.3
Level $114$
Weight $2$
Character 114.71
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: \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683 \) Copy content Toggle raw display
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 71.3
Root \(-0.396613 - 1.68603i\) of defining polynomial
Character \(\chi\) \(=\) 114.71
Dual form 114.2.l.a.53.3

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 3 q^{6} + 9 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 18 q + 3 q^{6} + 9 q^{8} - 12 q^{13} + 12 q^{14} - 24 q^{15} - 6 q^{17} - 6 q^{19} - 24 q^{22} - 18 q^{25} - 18 q^{26} - 3 q^{27} + 6 q^{28} + 6 q^{29} - 27 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} - 3 q^{38} + 6 q^{39} - 3 q^{41} - 6 q^{43} - 24 q^{44} + 54 q^{45} + 18 q^{46} - 30 q^{47} + 6 q^{48} + 21 q^{49} - 3 q^{50} - 33 q^{51} - 6 q^{52} + 60 q^{53} + 30 q^{55} + 12 q^{57} + 12 q^{58} - 3 q^{59} + 18 q^{60} + 54 q^{61} - 6 q^{62} + 84 q^{63} - 9 q^{64} - 24 q^{65} + 30 q^{66} - 15 q^{67} + 27 q^{68} + 24 q^{69} + 24 q^{70} - 36 q^{71} - 42 q^{73} - 6 q^{74} - 18 q^{78} - 6 q^{79} + 3 q^{82} - 36 q^{83} - 24 q^{84} + 6 q^{86} - 54 q^{87} + 60 q^{89} - 12 q^{90} - 18 q^{91} - 84 q^{93} - 6 q^{95} + 9 q^{97} - 12 q^{98} - 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

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 0.167081 + 0.985943i \(0.446566\pi\)
−0.999978 + 0.00666440i \(0.997879\pi\)
\(6\) 0.779936 1.54651i 0.318408 0.631361i
\(7\) 0.562083 + 0.973556i 0.212447 + 0.367969i 0.952480 0.304602i \(-0.0985233\pi\)
−0.740033 + 0.672571i \(0.765190\pi\)
\(8\) 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 0.0324759 0.999473i \(-0.489661\pi\)
−0.849331 + 0.527861i \(0.822994\pi\)
\(12\) 0.203962 1.72000i 0.0588787 0.496521i
\(13\) −5.18404 + 0.914087i −1.43780 + 0.253522i −0.837579 0.546316i \(-0.816030\pi\)
−0.600216 + 0.799838i \(0.704919\pi\)
\(14\) 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 0.999502 0.0315662i \(-0.0100495\pi\)
−0.785953 + 0.618286i \(0.787827\pi\)
\(18\) −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 0.996993 + 0.0774881i \(0.0246900\pi\)
−0.0968152 + 0.995302i \(0.530866\pi\)
\(24\) −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 0.441801 0.897113i \(-0.354340\pi\)
−0.238214 + 0.971213i \(0.576562\pi\)
\(30\) 1.97998 + 4.61134i 0.361493 + 0.841912i
\(31\) −3.90801 + 2.25629i −0.701899 + 0.405241i −0.808054 0.589108i \(-0.799479\pi\)
0.106155 + 0.994350i \(0.466146\pi\)
\(32\) −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 \(-0.539848\pi\)
0.124859 0.992174i \(-0.460152\pi\)
\(38\) 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 −0.782417 0.622755i \(-0.786014\pi\)
0.948226 0.317595i \(-0.102875\pi\)
\(42\) 1.94400 0.109956i 0.299966 0.0169666i
\(43\) 2.21295 + 1.85688i 0.337471 + 0.283172i 0.795736 0.605644i \(-0.207084\pi\)
−0.458265 + 0.888816i \(0.651529\pi\)
\(44\) −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 −0.964192 0.265206i \(-0.914560\pi\)
0.909085 + 0.416611i \(0.136782\pi\)
\(48\) −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 −0.164320 0.986407i \(-0.552543\pi\)
0.942887 + 0.333111i \(0.108099\pi\)
\(54\) −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 −0.724153 0.689639i \(-0.757769\pi\)
−0.111442 + 0.993771i \(0.535547\pi\)
\(60\) 3.43774 + 3.65605i 0.443811 + 0.471994i
\(61\) −5.58223 + 4.68405i −0.714732 + 0.599731i −0.925922 0.377714i \(-0.876710\pi\)
0.211191 + 0.977445i \(0.432266\pi\)
\(62\) −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 0.699508 + 0.714625i \(0.253403\pi\)
−0.995206 + 0.0977999i \(0.968819\pi\)
\(68\) 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 0.424674 0.905346i \(-0.360389\pi\)
−0.817848 + 0.575434i \(0.804833\pi\)
\(72\) −2.50092 1.65692i −0.294737 0.195270i
\(73\) −1.30735 + 7.41438i −0.153014 + 0.867787i 0.807565 + 0.589779i \(0.200785\pi\)
−0.960579 + 0.278008i \(0.910326\pi\)
\(74\) −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 0.410717 0.911763i \(-0.365278\pi\)
0.0741064 + 0.997250i \(0.476390\pi\)
\(80\) 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 0.381940 0.924187i \(-0.375256\pi\)
0.991340 + 0.131324i \(0.0419227\pi\)
\(84\) 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 0.802710 + 0.596369i \(0.203391\pi\)
−0.550331 + 0.834947i \(0.685498\pi\)
\(90\) 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 0.842187 0.539186i \(-0.181268\pi\)
−0.991735 + 0.128307i \(0.959046\pi\)
\(98\) 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 −0.455725 0.890121i \(-0.650620\pi\)
−0.123802 + 0.992307i \(0.539509\pi\)
\(102\) 4.42790 + 0.525072i 0.438428 + 0.0519898i
\(103\) 17.2614 + 9.96588i 1.70082 + 0.981967i 0.944934 + 0.327261i \(0.106126\pi\)
0.755884 + 0.654706i \(0.227208\pi\)
\(104\) −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 0.726943 0.686698i \(-0.240941\pi\)
−0.958169 + 0.286202i \(0.907607\pi\)
\(108\) −5.11261 0.928020i −0.491961 0.0892988i
\(109\) −5.52889 + 6.58908i −0.529572 + 0.631119i −0.962816 0.270157i \(-0.912924\pi\)
0.433244 + 0.901276i \(0.357369\pi\)
\(110\) 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 0.173756 0.984789i \(-0.444409\pi\)
0.500095 + 0.865970i \(0.333298\pi\)
\(128\) −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 0.968368 0.249526i \(-0.0802749\pi\)
−0.902205 + 0.431307i \(0.858053\pi\)
\(132\) −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 0.760085 0.649824i \(-0.225157\pi\)
−0.771939 + 0.635697i \(0.780713\pi\)
\(138\) 11.3237 2.66374i 0.963942 0.226753i
\(139\) 3.25695 + 18.4711i 0.276251 + 1.56670i 0.734961 + 0.678110i \(0.237201\pi\)
−0.458710 + 0.888586i \(0.651688\pi\)
\(140\) −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 −0.000465272 1.00000i \(-0.500148\pi\)
−0.342457 + 0.939533i \(0.611259\pi\)
\(150\) −5.63033 1.69590i −0.459715 0.138469i
\(151\) 8.94139i 0.727640i −0.931469 0.363820i \(-0.881472\pi\)
0.931469 0.363820i \(-0.118528\pi\)
\(152\) 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 0.702656 0.711529i \(-0.251997\pi\)
−0.578705 + 0.815537i \(0.696442\pi\)
\(158\) 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 −0.988848 0.148929i \(-0.952418\pi\)
0.623400 + 0.781903i \(0.285751\pi\)
\(164\) −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 −0.935768 0.352615i \(-0.885292\pi\)
0.184764 + 0.982783i \(0.440848\pi\)
\(168\) 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 0.0175755 0.999846i \(-0.494405\pi\)
0.656152 + 0.754629i \(0.272183\pi\)
\(174\) 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 −0.691475 0.722401i \(-0.743039\pi\)
0.971355 + 0.237634i \(0.0763720\pi\)
\(180\) 8.67575 + 0.534491i 0.646653 + 0.0398386i
\(181\) 5.46326 15.0102i 0.406081 1.11570i −0.553151 0.833081i \(-0.686575\pi\)
0.959232 0.282618i \(-0.0912030\pi\)
\(182\) −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 \(-0.911126\pi\)
0.961275 0.275592i \(-0.0888738\pi\)
\(192\) −1.65845 0.499538i −0.119688 0.0360511i
\(193\) 11.8171 + 2.08368i 0.850616 + 0.149987i 0.581928 0.813241i \(-0.302299\pi\)
0.268688 + 0.963227i \(0.413410\pi\)
\(194\) −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 −0.932871 0.360210i \(-0.882705\pi\)
−0.154485 + 0.987995i \(0.549372\pi\)
\(198\) −2.19492 + 9.12467i −0.155986 + 0.648462i
\(199\) −2.12679 0.774087i −0.150764 0.0548736i 0.265536 0.964101i \(-0.414451\pi\)
−0.416300 + 0.909227i \(0.636673\pi\)
\(200\) −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 0.886061 0.463568i \(-0.153431\pi\)
−0.976738 + 0.214435i \(0.931209\pi\)
\(212\) 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 −0.872428 0.488743i \(-0.837456\pi\)
0.632813 + 0.774305i \(0.281900\pi\)
\(224\) 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 0.0911239 + 0.995840i \(0.470954\pi\)
−0.996534 + 0.0831862i \(0.973490\pi\)
\(234\) 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 0.119846 0.992793i \(-0.461760\pi\)
−0.799861 + 0.600186i \(0.795093\pi\)
\(240\) 4.98353 + 0.590959i 0.321685 + 0.0381463i
\(241\) −21.4162 + 3.77626i −1.37954 + 0.243250i −0.813709 0.581272i \(-0.802555\pi\)
−0.565830 + 0.824522i \(0.691444\pi\)
\(242\) −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 0.210181 0.977663i \(-0.432595\pi\)
−0.999307 + 0.0372181i \(0.988150\pi\)
\(252\) 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 0.639578 0.768727i \(-0.279109\pi\)
−0.00418306 + 0.999991i \(0.501332\pi\)
\(258\) 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 0.991484 0.130227i \(-0.0415706\pi\)
0.887150 + 0.461481i \(0.152682\pi\)
\(264\) −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 −0.999812 0.0193811i \(-0.993830\pi\)
0.946145 + 0.323744i \(0.104942\pi\)
\(270\) 14.1731 5.07803i 0.862547 0.309039i
\(271\) 4.01481 + 3.36882i 0.243882 + 0.204641i 0.756533 0.653956i \(-0.226892\pi\)
−0.512650 + 0.858597i \(0.671336\pi\)
\(272\) 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 −0.793929 0.608010i \(-0.791968\pi\)
0.923517 + 0.383558i \(0.125301\pi\)
\(278\) 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 −0.355418 0.934707i \(-0.615661\pi\)
0.858789 + 0.512329i \(0.171217\pi\)
\(282\) 1.31059 + 1.39382i 0.0780445 + 0.0830006i
\(283\) −3.71261 + 1.35128i −0.220691 + 0.0803251i −0.450000 0.893029i \(-0.648576\pi\)
0.229308 + 0.973354i \(0.426354\pi\)
\(284\) −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 −0.406036 0.913857i \(-0.633089\pi\)
0.994441 0.105291i \(-0.0335775\pi\)
\(294\) −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 −0.0136720 0.999907i \(-0.504352\pi\)
−0.354836 + 0.934929i \(0.615463\pi\)
\(308\) −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 −0.551991 0.833850i \(-0.686132\pi\)
0.446139 + 0.894963i \(0.352799\pi\)
\(312\) 3.59724 + 8.37792i 0.203654 + 0.474306i
\(313\) 15.9106 + 5.79098i 0.899320 + 0.327326i 0.749980 0.661460i \(-0.230063\pi\)
0.149340 + 0.988786i \(0.452285\pi\)
\(314\) 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 0.945827 0.324670i \(-0.105253\pi\)
−0.999831 + 0.0184023i \(0.994142\pi\)
\(318\) −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 0.305200 0.952288i \(-0.401277\pi\)
−0.672106 + 0.740455i \(0.734610\pi\)
\(332\) 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 −0.497252 0.867606i \(-0.665657\pi\)
0.940772 + 0.339039i \(0.110102\pi\)
\(338\) 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 −0.681600 0.731725i \(-0.738716\pi\)
0.838967 + 0.544182i \(0.183160\pi\)
\(348\) 0.909962 1.80434i 0.0487791 0.0967226i
\(349\) 0.809906 + 1.40280i 0.0433533 + 0.0750901i 0.886888 0.461985i \(-0.152863\pi\)
−0.843535 + 0.537075i \(0.819529\pi\)
\(350\) 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 0.333950 0.942591i \(-0.391618\pi\)
−0.649332 + 0.760505i \(0.724952\pi\)
\(354\) −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 0.897310 0.441401i \(-0.145518\pi\)
−0.971106 + 0.238647i \(0.923296\pi\)
\(360\) 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 −0.996236 0.0866798i \(-0.972374\pi\)
0.906510 0.422185i \(-0.138737\pi\)
\(368\) 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 −0.310418 0.950600i \(-0.600469\pi\)
0.668035 + 0.744130i \(0.267136\pi\)
\(374\) −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 \(-0.910968\pi\)
0.961137 0.276071i \(-0.0890323\pi\)
\(380\) 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 \(-0.987371\pi\)
0.952520 + 0.304477i \(0.0984816\pi\)
\(384\) −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 0.722457 + 0.691416i \(0.243013\pi\)
−0.997868 + 0.0652695i \(0.979209\pi\)
\(390\) −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 −0.994542 0.104334i \(-0.966729\pi\)
−0.694799 + 0.719204i \(0.744507\pi\)
\(398\) −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 −0.477463 0.878652i \(-0.658443\pi\)
0.199029 + 0.979994i \(0.436221\pi\)
\(402\) 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 −0.485536 0.874217i \(-0.661375\pi\)
0.933878 0.357592i \(-0.116402\pi\)
\(410\) 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 \(-0.935686\pi\)
0.979658 0.200675i \(-0.0643135\pi\)
\(420\) −1.62707 + 5.40184i −0.0793931 + 0.263583i
\(421\) −16.5911 2.92547i −0.808603 0.142578i −0.245961 0.969280i \(-0.579104\pi\)
−0.562641 + 0.826701i \(0.690215\pi\)
\(422\) −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 0.826467 + 0.562985i \(0.190347\pi\)
−0.584073 + 0.811701i \(0.698542\pi\)
\(432\) −4.51301 + 2.57542i −0.217132 + 0.123910i
\(433\) −17.6845 21.0756i −0.849863 1.01283i −0.999709 0.0241176i \(-0.992322\pi\)
0.149846 0.988709i \(-0.452122\pi\)
\(434\) −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 −0.999758 0.0220034i \(-0.992996\pi\)
0.751715 0.659488i \(-0.229227\pi\)
\(440\) 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 −0.285371 0.958417i \(-0.592117\pi\)
0.0596365 + 0.998220i \(0.481006\pi\)
\(444\) −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 0.820783 0.571241i \(-0.193538\pi\)
−0.905100 + 0.425198i \(0.860204\pi\)
\(450\) −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 −0.926253 0.376903i \(-0.876989\pi\)
0.532019 + 0.846732i \(0.321433\pi\)
\(462\) −5.43869 2.74283i −0.253031 0.127608i
\(463\) −10.6868 18.5101i −0.496659 0.860238i 0.503334 0.864092i \(-0.332107\pi\)
−0.999993 + 0.00385369i \(0.998773\pi\)
\(464\) 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 0.673936 0.738789i \(-0.264602\pi\)
−0.302842 + 0.953041i \(0.597935\pi\)
\(468\) 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 0.842329 0.538964i \(-0.181184\pi\)
−0.677045 + 0.735942i \(0.736740\pi\)
\(480\) 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 −0.0408365 0.999166i \(-0.513002\pi\)
0.844885 + 0.534948i \(0.179669\pi\)
\(488\) 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 0.844363 0.535772i \(-0.179979\pi\)
0.610196 + 0.792250i \(0.291091\pi\)
\(492\) −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 0.922776 0.385336i \(-0.125914\pi\)
−0.219243 + 0.975670i \(0.570359\pi\)
\(500\) −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 −0.625893 0.779909i \(-0.715265\pi\)
0.980778 0.195128i \(-0.0625124\pi\)
\(504\) 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 −0.194130 0.980976i \(-0.562188\pi\)
0.932362 + 0.361525i \(0.117744\pi\)
\(510\) −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 −0.652322 0.757942i \(-0.726205\pi\)
0.982558 + 0.185957i \(0.0595384\pi\)
\(522\) 0.215227 3.49352i 0.00942021 0.152907i
\(523\) 2.38040 6.54010i 0.104088 0.285979i −0.876706 0.481027i \(-0.840264\pi\)
0.980794 + 0.195048i \(0.0624862\pi\)
\(524\) 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 0.240427 0.970667i \(-0.422713\pi\)
−0.439755 + 0.898118i \(0.644935\pi\)
\(542\) 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 0.924458 0.381283i \(-0.124518\pi\)
−0.536021 + 0.844205i \(0.680073\pi\)
\(548\) −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 −0.182625 0.983183i \(-0.558460\pi\)
0.164657 + 0.986351i \(0.447348\pi\)
\(558\) 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 0.913010 0.407937i \(-0.133752\pi\)
−0.809789 + 0.586721i \(0.800418\pi\)
\(564\) 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 0.839074 0.544017i \(-0.183097\pi\)
−0.890670 + 0.454651i \(0.849764\pi\)
\(578\) 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 0.839859 + 0.542804i \(0.182637\pi\)
−0.294462 + 0.955663i \(0.595140\pi\)
\(588\) −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 0.705141 0.709067i \(-0.250884\pi\)
−0.820741 + 0.571300i \(0.806439\pi\)
\(594\) 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 −0.657380 0.753559i \(-0.728335\pi\)
−0.987961 + 0.154704i \(0.950558\pi\)
\(600\) −5.40319 + 2.31997i −0.220584 + 0.0947125i
\(601\) −24.0390 + 13.8789i −0.980571 + 0.566133i −0.902443 0.430810i \(-0.858228\pi\)
−0.0781288 + 0.996943i \(0.524895\pi\)
\(602\) 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 \(0.106011\pi\)
−0.945051 + 0.326922i \(0.893989\pi\)
\(608\) −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 0.920339 0.391121i \(-0.127913\pi\)
−0.225364 + 0.974275i \(0.572357\pi\)
\(614\) −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 −0.0266596 0.999645i \(-0.508487\pi\)
0.662982 0.748636i \(-0.269291\pi\)
\(618\) 28.8752 18.9222i 1.16153 0.761164i
\(619\) −20.8534 + 36.1192i −0.838170 + 1.45175i 0.0532532 + 0.998581i \(0.483041\pi\)
−0.891423 + 0.453172i \(0.850292\pi\)
\(620\) −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 −0.706971 0.707243i \(-0.749939\pi\)
0.573734 + 0.819042i \(0.305494\pi\)
\(632\) 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 0.598617 0.801035i \(-0.295717\pi\)
−0.684917 + 0.728621i \(0.740162\pi\)
\(642\) −8.27231 + 0.467897i −0.326482 + 0.0184664i
\(643\) 7.65253 43.3997i 0.301786 1.71152i −0.336471 0.941694i \(-0.609234\pi\)
0.638258 0.769823i \(-0.279655\pi\)
\(644\) 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 \(-0.130839\pi\)
\(648\) −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 −0.991714 0.128465i \(-0.958995\pi\)
−0.384603 + 0.923082i \(0.625662\pi\)
\(654\) 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 0.816354 + 0.577552i \(0.195992\pi\)
−0.569588 + 0.821930i \(0.692897\pi\)
\(660\) −3.59490 15.2822i −0.139931 0.594857i
\(661\) −2.71797 3.23916i −0.105717 0.125989i 0.710591 0.703605i \(-0.248427\pi\)
−0.816308 + 0.577616i \(0.803983\pi\)
\(662\) −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 0.865975 0.500088i \(-0.166699\pi\)
−0.000101249 1.00000i \(0.500032\pi\)
\(674\) 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 0.989088 + 0.147326i \(0.0470665\pi\)
−0.366956 + 0.930238i \(0.619600\pi\)
\(678\) −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 0.676662 0.736294i \(-0.263426\pi\)
−0.975980 + 0.217859i \(0.930093\pi\)
\(692\) 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 −0.957094 0.289777i \(-0.906419\pi\)
0.546911 0.837191i \(-0.315803\pi\)
\(702\) 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 0.853687 + 0.520787i \(0.174361\pi\)
−0.624084 + 0.781358i \(0.714528\pi\)
\(710\) 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 0.440994 0.897510i \(-0.354626\pi\)
0.107432 + 0.994212i \(0.465737\pi\)
\(720\) 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 0.113791 0.993505i \(-0.463700\pi\)
−0.958651 + 0.284583i \(0.908145\pi\)
\(728\) −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 −0.834339 0.551252i \(-0.814150\pi\)
0.894567 + 0.446933i \(0.147484\pi\)
\(734\) −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 −0.441927 0.897051i \(-0.645705\pi\)
0.238078 + 0.971246i \(0.423483\pi\)
\(740\) 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 0.221930 0.975063i \(-0.428764\pi\)
0.796766 + 0.604288i \(0.206542\pi\)
\(744\) 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 −0.999932 0.0117037i \(-0.996275\pi\)
0.773515 + 0.633778i \(0.218497\pi\)
\(752\) 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 0.840701 + 0.541500i \(0.182143\pi\)
−0.975204 + 0.221307i \(0.928968\pi\)
\(758\) −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 \(0.822658\pi\)
\(762\) 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