Properties

Label 370.2.q.f.103.8
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.8
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.686833 + 2.56329i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.84814 - 1.25873i) q^{5} +(-1.87646 + 1.87646i) q^{6} +(0.524210 + 1.95638i) q^{7} -1.00000 q^{8} +(-3.50066 + 2.02111i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.686833 + 2.56329i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.84814 - 1.25873i) q^{5} +(-1.87646 + 1.87646i) q^{6} +(0.524210 + 1.95638i) q^{7} -1.00000 q^{8} +(-3.50066 + 2.02111i) q^{9} +(0.166021 - 2.22990i) q^{10} -1.12383i q^{11} +(-2.56329 - 0.686833i) q^{12} +(-2.37951 + 4.12143i) q^{13} +(-1.43217 + 1.43217i) q^{14} +(1.95713 - 5.60185i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.528152 - 0.304929i) q^{17} +(-3.50066 - 2.02111i) q^{18} +(-0.968309 + 0.259458i) q^{19} +(2.01416 - 0.971170i) q^{20} +(-4.65473 + 2.68741i) q^{21} +(0.973266 - 0.561916i) q^{22} +5.88152 q^{23} +(-0.686833 - 2.56329i) q^{24} +(1.83122 + 4.65260i) q^{25} -4.75902 q^{26} +(-1.95568 - 1.95568i) q^{27} +(-1.95638 - 0.524210i) q^{28} +(2.37706 - 2.37706i) q^{29} +(5.82991 - 1.10601i) q^{30} +(-3.83799 - 3.83799i) q^{31} +(0.500000 - 0.866025i) q^{32} +(2.88071 - 0.771884i) q^{33} +(0.528152 + 0.304929i) q^{34} +(1.49373 - 4.27549i) q^{35} -4.04222i q^{36} +(4.85045 + 3.67057i) q^{37} +(-0.708852 - 0.708852i) q^{38} +(-12.1988 - 3.26865i) q^{39} +(1.84814 + 1.25873i) q^{40} +(7.57396 + 4.37283i) q^{41} +(-4.65473 - 2.68741i) q^{42} -2.52967 q^{43} +(0.973266 + 0.561916i) q^{44} +(9.01373 + 0.671093i) q^{45} +(2.94076 + 5.09355i) q^{46} +(4.16660 - 4.16660i) q^{47} +(1.87646 - 1.87646i) q^{48} +(2.50956 - 1.44889i) q^{49} +(-3.11366 + 3.91218i) q^{50} +(1.14437 + 1.14437i) q^{51} +(-2.37951 - 4.12143i) q^{52} +(-0.917679 + 3.42482i) q^{53} +(0.715830 - 2.67152i) q^{54} +(-1.41460 + 2.07699i) q^{55} +(-0.524210 - 1.95638i) q^{56} +(-1.33013 - 2.30386i) q^{57} +(3.24712 + 0.870063i) q^{58} +(-1.81426 + 6.77090i) q^{59} +(3.87278 + 4.49585i) q^{60} +(-13.4578 + 3.60599i) q^{61} +(1.40480 - 5.24279i) q^{62} +(-5.78914 - 5.78914i) q^{63} +1.00000 q^{64} +(9.58541 - 4.62181i) q^{65} +(2.10883 + 2.10883i) q^{66} +(14.0161 - 3.75560i) q^{67} +0.609858i q^{68} +(4.03962 + 15.0761i) q^{69} +(4.44955 - 0.844134i) q^{70} +(-3.54588 + 6.14164i) q^{71} +(3.50066 - 2.02111i) q^{72} +(-8.20562 + 8.20562i) q^{73} +(-0.753581 + 6.03590i) q^{74} +(-10.6682 + 7.88950i) q^{75} +(0.259458 - 0.968309i) q^{76} +(2.19864 - 0.589123i) q^{77} +(-3.26865 - 12.1988i) q^{78} +(4.51070 - 1.20864i) q^{79} +(-0.166021 + 2.22990i) q^{80} +(-2.39356 + 4.14577i) q^{81} +8.74566i q^{82} +(-0.924178 + 3.44908i) q^{83} -5.37482i q^{84} +(-1.35992 - 0.101249i) q^{85} +(-1.26483 - 2.19076i) q^{86} +(7.72573 + 4.46045i) q^{87} +1.12383i q^{88} +(13.2615 + 3.55341i) q^{89} +(3.92568 + 8.14167i) q^{90} +(-9.31044 - 2.49472i) q^{91} +(-2.94076 + 5.09355i) q^{92} +(7.20184 - 12.4740i) q^{93} +(5.69169 + 1.52508i) q^{94} +(2.11615 + 0.739323i) q^{95} +(2.56329 + 0.686833i) q^{96} -10.8045i q^{97} +(2.50956 + 1.44889i) q^{98} +(2.27139 + 3.93416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.686833 + 2.56329i 0.396543 + 1.47992i 0.819136 + 0.573599i \(0.194453\pi\)
−0.422593 + 0.906320i \(0.638880\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.84814 1.25873i −0.826512 0.562920i
\(6\) −1.87646 + 1.87646i −0.766062 + 0.766062i
\(7\) 0.524210 + 1.95638i 0.198133 + 0.739441i 0.991434 + 0.130612i \(0.0416941\pi\)
−0.793301 + 0.608830i \(0.791639\pi\)
\(8\) −1.00000 −0.353553
\(9\) −3.50066 + 2.02111i −1.16689 + 0.673703i
\(10\) 0.166021 2.22990i 0.0525004 0.705155i
\(11\) 1.12383i 0.338848i −0.985543 0.169424i \(-0.945809\pi\)
0.985543 0.169424i \(-0.0541907\pi\)
\(12\) −2.56329 0.686833i −0.739959 0.198272i
\(13\) −2.37951 + 4.12143i −0.659957 + 1.14308i 0.320669 + 0.947191i \(0.396092\pi\)
−0.980626 + 0.195888i \(0.937241\pi\)
\(14\) −1.43217 + 1.43217i −0.382763 + 0.382763i
\(15\) 1.95713 5.60185i 0.505328 1.44639i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.528152 0.304929i 0.128096 0.0739561i −0.434583 0.900632i \(-0.643104\pi\)
0.562679 + 0.826676i \(0.309771\pi\)
\(18\) −3.50066 2.02111i −0.825115 0.476380i
\(19\) −0.968309 + 0.259458i −0.222145 + 0.0595237i −0.368175 0.929757i \(-0.620017\pi\)
0.146029 + 0.989280i \(0.453351\pi\)
\(20\) 2.01416 0.971170i 0.450379 0.217160i
\(21\) −4.65473 + 2.68741i −1.01575 + 0.586441i
\(22\) 0.973266 0.561916i 0.207501 0.119801i
\(23\) 5.88152 1.22638 0.613191 0.789934i \(-0.289885\pi\)
0.613191 + 0.789934i \(0.289885\pi\)
\(24\) −0.686833 2.56329i −0.140199 0.523230i
\(25\) 1.83122 + 4.65260i 0.366243 + 0.930519i
\(26\) −4.75902 −0.933320
\(27\) −1.95568 1.95568i −0.376372 0.376372i
\(28\) −1.95638 0.524210i −0.369721 0.0990664i
\(29\) 2.37706 2.37706i 0.441408 0.441408i −0.451077 0.892485i \(-0.648960\pi\)
0.892485 + 0.451077i \(0.148960\pi\)
\(30\) 5.82991 1.10601i 1.06439 0.201928i
\(31\) −3.83799 3.83799i −0.689323 0.689323i 0.272759 0.962082i \(-0.412064\pi\)
−0.962082 + 0.272759i \(0.912064\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 2.88071 0.771884i 0.501467 0.134368i
\(34\) 0.528152 + 0.304929i 0.0905774 + 0.0522949i
\(35\) 1.49373 4.27549i 0.252487 0.722690i
\(36\) 4.04222i 0.673703i
\(37\) 4.85045 + 3.67057i 0.797410 + 0.603438i
\(38\) −0.708852 0.708852i −0.114991 0.114991i
\(39\) −12.1988 3.26865i −1.95337 0.523403i
\(40\) 1.84814 + 1.25873i 0.292216 + 0.199022i
\(41\) 7.57396 + 4.37283i 1.18285 + 0.682921i 0.956673 0.291164i \(-0.0940425\pi\)
0.226181 + 0.974085i \(0.427376\pi\)
\(42\) −4.65473 2.68741i −0.718240 0.414676i
\(43\) −2.52967 −0.385771 −0.192885 0.981221i \(-0.561785\pi\)
−0.192885 + 0.981221i \(0.561785\pi\)
\(44\) 0.973266 + 0.561916i 0.146725 + 0.0847120i
\(45\) 9.01373 + 0.671093i 1.34369 + 0.100041i
\(46\) 2.94076 + 5.09355i 0.433592 + 0.751003i
\(47\) 4.16660 4.16660i 0.607762 0.607762i −0.334599 0.942361i \(-0.608601\pi\)
0.942361 + 0.334599i \(0.108601\pi\)
\(48\) 1.87646 1.87646i 0.270844 0.270844i
\(49\) 2.50956 1.44889i 0.358508 0.206985i
\(50\) −3.11366 + 3.91218i −0.440338 + 0.553265i
\(51\) 1.14437 + 1.14437i 0.160245 + 0.160245i
\(52\) −2.37951 4.12143i −0.329979 0.571540i
\(53\) −0.917679 + 3.42482i −0.126053 + 0.470436i −0.999875 0.0158099i \(-0.994967\pi\)
0.873822 + 0.486246i \(0.161634\pi\)
\(54\) 0.715830 2.67152i 0.0974122 0.363547i
\(55\) −1.41460 + 2.07699i −0.190744 + 0.280062i
\(56\) −0.524210 1.95638i −0.0700505 0.261432i
\(57\) −1.33013 2.30386i −0.176180 0.305153i
\(58\) 3.24712 + 0.870063i 0.426368 + 0.114245i
\(59\) −1.81426 + 6.77090i −0.236196 + 0.881496i 0.741410 + 0.671052i \(0.234157\pi\)
−0.977606 + 0.210443i \(0.932509\pi\)
\(60\) 3.87278 + 4.49585i 0.499974 + 0.580411i
\(61\) −13.4578 + 3.60599i −1.72309 + 0.461700i −0.978572 0.205904i \(-0.933987\pi\)
−0.744516 + 0.667604i \(0.767320\pi\)
\(62\) 1.40480 5.24279i 0.178410 0.665835i
\(63\) −5.78914 5.78914i −0.729363 0.729363i
\(64\) 1.00000 0.125000
\(65\) 9.58541 4.62181i 1.18892 0.573266i
\(66\) 2.10883 + 2.10883i 0.259579 + 0.259579i
\(67\) 14.0161 3.75560i 1.71234 0.458820i 0.736343 0.676609i \(-0.236551\pi\)
0.975996 + 0.217789i \(0.0698845\pi\)
\(68\) 0.609858i 0.0739561i
\(69\) 4.03962 + 15.0761i 0.486314 + 1.81495i
\(70\) 4.44955 0.844134i 0.531823 0.100893i
\(71\) −3.54588 + 6.14164i −0.420818 + 0.728878i −0.996020 0.0891333i \(-0.971590\pi\)
0.575202 + 0.818012i \(0.304924\pi\)
\(72\) 3.50066 2.02111i 0.412557 0.238190i
\(73\) −8.20562 + 8.20562i −0.960395 + 0.960395i −0.999245 0.0388501i \(-0.987631\pi\)
0.0388501 + 0.999245i \(0.487631\pi\)
\(74\) −0.753581 + 6.03590i −0.0876020 + 0.701659i
\(75\) −10.6682 + 7.88950i −1.23186 + 0.911001i
\(76\) 0.259458 0.968309i 0.0297618 0.111073i
\(77\) 2.19864 0.589123i 0.250558 0.0671368i
\(78\) −3.26865 12.1988i −0.370102 1.38124i
\(79\) 4.51070 1.20864i 0.507493 0.135982i 0.00401787 0.999992i \(-0.498721\pi\)
0.503476 + 0.864009i \(0.332054\pi\)
\(80\) −0.166021 + 2.22990i −0.0185617 + 0.249310i
\(81\) −2.39356 + 4.14577i −0.265951 + 0.460641i
\(82\) 8.74566i 0.965797i
\(83\) −0.924178 + 3.44908i −0.101442 + 0.378586i −0.997917 0.0645076i \(-0.979452\pi\)
0.896475 + 0.443093i \(0.146119\pi\)
\(84\) 5.37482i 0.586441i
\(85\) −1.35992 0.101249i −0.147504 0.0109820i
\(86\) −1.26483 2.19076i −0.136391 0.236235i
\(87\) 7.72573 + 4.46045i 0.828286 + 0.478211i
\(88\) 1.12383i 0.119801i
\(89\) 13.2615 + 3.55341i 1.40572 + 0.376661i 0.880394 0.474243i \(-0.157278\pi\)
0.525322 + 0.850903i \(0.323945\pi\)
\(90\) 3.92568 + 8.14167i 0.413803 + 0.858207i
\(91\) −9.31044 2.49472i −0.975999 0.261518i
\(92\) −2.94076 + 5.09355i −0.306596 + 0.531039i
\(93\) 7.20184 12.4740i 0.746796 1.29349i
\(94\) 5.69169 + 1.52508i 0.587053 + 0.157300i
\(95\) 2.11615 + 0.739323i 0.217113 + 0.0758530i
\(96\) 2.56329 + 0.686833i 0.261615 + 0.0700996i
\(97\) 10.8045i 1.09703i −0.836142 0.548513i \(-0.815194\pi\)
0.836142 0.548513i \(-0.184806\pi\)
\(98\) 2.50956 + 1.44889i 0.253504 + 0.146360i
\(99\) 2.27139 + 3.93416i 0.228283 + 0.395398i
\(100\) −4.94487 0.740419i −0.494487 0.0740419i
\(101\) 13.7754i 1.37071i −0.728210 0.685354i \(-0.759648\pi\)
0.728210 0.685354i \(-0.240352\pi\)
\(102\) −0.418870 + 1.56324i −0.0414743 + 0.154784i
\(103\) 18.0233i 1.77589i −0.459953 0.887943i \(-0.652134\pi\)
0.459953 0.887943i \(-0.347866\pi\)
\(104\) 2.37951 4.12143i 0.233330 0.404140i
\(105\) 11.9853 + 0.892332i 1.16964 + 0.0870827i
\(106\) −3.42482 + 0.917679i −0.332648 + 0.0891329i
\(107\) −0.739316 2.75917i −0.0714724 0.266739i 0.920938 0.389709i \(-0.127425\pi\)
−0.992410 + 0.122971i \(0.960758\pi\)
\(108\) 2.67152 0.715830i 0.257067 0.0688808i
\(109\) 4.32210 16.1303i 0.413982 1.54500i −0.372884 0.927878i \(-0.621631\pi\)
0.786866 0.617124i \(-0.211702\pi\)
\(110\) −2.50603 0.186579i −0.238940 0.0177897i
\(111\) −6.07731 + 14.9542i −0.576832 + 1.41939i
\(112\) 1.43217 1.43217i 0.135327 0.135327i
\(113\) −4.26128 + 2.46025i −0.400868 + 0.231441i −0.686858 0.726791i \(-0.741011\pi\)
0.285991 + 0.958232i \(0.407677\pi\)
\(114\) 1.33013 2.30386i 0.124578 0.215776i
\(115\) −10.8699 7.40323i −1.01362 0.690355i
\(116\) 0.870063 + 3.24712i 0.0807833 + 0.301487i
\(117\) 19.2370i 1.77846i
\(118\) −6.77090 + 1.81426i −0.623312 + 0.167016i
\(119\) 0.873419 + 0.873419i 0.0800662 + 0.0800662i
\(120\) −1.95713 + 5.60185i −0.178660 + 0.511377i
\(121\) 9.73700 0.885182
\(122\) −9.85176 9.85176i −0.891936 0.891936i
\(123\) −6.00681 + 22.4177i −0.541615 + 2.02134i
\(124\) 5.24279 1.40480i 0.470817 0.126155i
\(125\) 2.47201 10.9036i 0.221103 0.975250i
\(126\) 2.11897 7.90811i 0.188773 0.704510i
\(127\) −6.90268 1.84957i −0.612514 0.164123i −0.0607917 0.998150i \(-0.519363\pi\)
−0.551722 + 0.834028i \(0.686029\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −1.73746 6.48429i −0.152975 0.570910i
\(130\) 8.79531 + 5.99030i 0.771400 + 0.525384i
\(131\) 5.25720 19.6201i 0.459324 1.71422i −0.215732 0.976453i \(-0.569214\pi\)
0.675056 0.737767i \(-0.264120\pi\)
\(132\) −0.771884 + 2.88071i −0.0671839 + 0.250734i
\(133\) −1.01519 1.75837i −0.0880285 0.152470i
\(134\) 10.2605 + 10.2605i 0.886372 + 0.886372i
\(135\) 1.15270 + 6.07604i 0.0992086 + 0.522943i
\(136\) −0.528152 + 0.304929i −0.0452887 + 0.0261474i
\(137\) 4.18991 4.18991i 0.357968 0.357968i −0.505095 0.863064i \(-0.668543\pi\)
0.863064 + 0.505095i \(0.168543\pi\)
\(138\) −11.0365 + 11.0365i −0.939486 + 0.939486i
\(139\) 5.56954 + 9.64673i 0.472402 + 0.818225i 0.999501 0.0315791i \(-0.0100536\pi\)
−0.527099 + 0.849804i \(0.676720\pi\)
\(140\) 2.95582 + 3.43136i 0.249812 + 0.290003i
\(141\) 13.5420 + 7.81847i 1.14044 + 0.658434i
\(142\) −7.09175 −0.595127
\(143\) 4.63179 + 2.67417i 0.387330 + 0.223625i
\(144\) 3.50066 + 2.02111i 0.291722 + 0.168426i
\(145\) −7.38519 + 1.40106i −0.613306 + 0.116352i
\(146\) −11.2091 3.00346i −0.927670 0.248569i
\(147\) 5.43759 + 5.43759i 0.448485 + 0.448485i
\(148\) −5.60404 + 2.36533i −0.460649 + 0.194429i
\(149\) 1.58834i 0.130122i 0.997881 + 0.0650611i \(0.0207242\pi\)
−0.997881 + 0.0650611i \(0.979276\pi\)
\(150\) −12.1666 5.29421i −0.993401 0.432271i
\(151\) −10.3991 6.00392i −0.846266 0.488592i 0.0131234 0.999914i \(-0.495823\pi\)
−0.859389 + 0.511322i \(0.829156\pi\)
\(152\) 0.968309 0.259458i 0.0785403 0.0210448i
\(153\) −1.23259 + 2.13491i −0.0996489 + 0.172597i
\(154\) 1.60952 + 1.60952i 0.129698 + 0.129698i
\(155\) 2.26215 + 11.9241i 0.181700 + 0.957767i
\(156\) 8.93012 8.93012i 0.714982 0.714982i
\(157\) −7.06880 1.89408i −0.564152 0.151164i −0.0345386 0.999403i \(-0.510996\pi\)
−0.529613 + 0.848239i \(0.677663\pi\)
\(158\) 3.30206 + 3.30206i 0.262698 + 0.262698i
\(159\) −9.40913 −0.746192
\(160\) −2.01416 + 0.971170i −0.159233 + 0.0767777i
\(161\) 3.08315 + 11.5065i 0.242986 + 0.906838i
\(162\) −4.78712 −0.376112
\(163\) 3.61734 2.08847i 0.283332 0.163582i −0.351599 0.936151i \(-0.614362\pi\)
0.634931 + 0.772569i \(0.281029\pi\)
\(164\) −7.57396 + 4.37283i −0.591427 + 0.341461i
\(165\) −6.29554 2.19948i −0.490107 0.171229i
\(166\) −3.44908 + 0.924178i −0.267701 + 0.0717301i
\(167\) −4.69835 2.71259i −0.363569 0.209907i 0.307076 0.951685i \(-0.400649\pi\)
−0.670645 + 0.741778i \(0.733983\pi\)
\(168\) 4.65473 2.68741i 0.359120 0.207338i
\(169\) −4.82413 8.35563i −0.371087 0.642741i
\(170\) −0.592275 1.22835i −0.0454254 0.0942101i
\(171\) 2.86533 2.86533i 0.219118 0.219118i
\(172\) 1.26483 2.19076i 0.0964427 0.167044i
\(173\) −3.85906 1.03403i −0.293399 0.0786159i 0.109117 0.994029i \(-0.465198\pi\)
−0.402516 + 0.915413i \(0.631864\pi\)
\(174\) 8.92091i 0.676292i
\(175\) −8.14229 + 6.02149i −0.615500 + 0.455182i
\(176\) −0.973266 + 0.561916i −0.0733627 + 0.0423560i
\(177\) −18.6019 −1.39820
\(178\) 3.55341 + 13.2615i 0.266339 + 0.993992i
\(179\) −14.1223 + 14.1223i −1.05555 + 1.05555i −0.0571889 + 0.998363i \(0.518214\pi\)
−0.998363 + 0.0571889i \(0.981786\pi\)
\(180\) −5.08805 + 7.47057i −0.379241 + 0.556824i
\(181\) −5.83408 + 10.1049i −0.433644 + 0.751093i −0.997184 0.0749959i \(-0.976106\pi\)
0.563540 + 0.826089i \(0.309439\pi\)
\(182\) −2.49472 9.31044i −0.184921 0.690136i
\(183\) −18.4865 32.0195i −1.36656 2.36695i
\(184\) −5.88152 −0.433592
\(185\) −4.34406 12.8891i −0.319381 0.947626i
\(186\) 14.4037 1.05613
\(187\) −0.342689 0.593554i −0.0250599 0.0434050i
\(188\) 1.52508 + 5.69169i 0.111228 + 0.415109i
\(189\) 2.80087 4.85125i 0.203733 0.352876i
\(190\) 0.417804 + 2.20230i 0.0303107 + 0.159772i
\(191\) 13.5165 13.5165i 0.978021 0.978021i −0.0217424 0.999764i \(-0.506921\pi\)
0.999764 + 0.0217424i \(0.00692136\pi\)
\(192\) 0.686833 + 2.56329i 0.0495679 + 0.184990i
\(193\) 12.8185 0.922693 0.461347 0.887220i \(-0.347366\pi\)
0.461347 + 0.887220i \(0.347366\pi\)
\(194\) 9.35694 5.40223i 0.671789 0.387858i
\(195\) 18.4306 + 21.3958i 1.31985 + 1.53219i
\(196\) 2.89779i 0.206985i
\(197\) −0.822836 0.220478i −0.0586246 0.0157084i 0.229388 0.973335i \(-0.426328\pi\)
−0.288012 + 0.957627i \(0.592994\pi\)
\(198\) −2.27139 + 3.93416i −0.161420 + 0.279588i
\(199\) −11.2815 + 11.2815i −0.799726 + 0.799726i −0.983052 0.183326i \(-0.941314\pi\)
0.183326 + 0.983052i \(0.441314\pi\)
\(200\) −1.83122 4.65260i −0.129486 0.328988i
\(201\) 19.2534 + 33.3479i 1.35803 + 2.35218i
\(202\) 11.9299 6.88772i 0.839384 0.484618i
\(203\) 5.89650 + 3.40434i 0.413853 + 0.238938i
\(204\) −1.56324 + 0.418870i −0.109449 + 0.0293268i
\(205\) −8.49352 17.6151i −0.593213 1.23029i
\(206\) 15.6086 9.01164i 1.08750 0.627871i
\(207\) −20.5892 + 11.8872i −1.43105 + 0.826218i
\(208\) 4.75902 0.329979
\(209\) 0.291587 + 1.08822i 0.0201695 + 0.0752735i
\(210\) 5.21986 + 10.8257i 0.360205 + 0.747046i
\(211\) −8.38969 −0.577570 −0.288785 0.957394i \(-0.593251\pi\)
−0.288785 + 0.957394i \(0.593251\pi\)
\(212\) −2.50715 2.50715i −0.172191 0.172191i
\(213\) −18.1783 4.87085i −1.24555 0.333745i
\(214\) 2.01985 2.01985i 0.138074 0.138074i
\(215\) 4.67517 + 3.18416i 0.318844 + 0.217158i
\(216\) 1.95568 + 1.95568i 0.133067 + 0.133067i
\(217\) 5.49665 9.52047i 0.373137 0.646292i
\(218\) 16.1303 4.32210i 1.09248 0.292729i
\(219\) −26.6693 15.3975i −1.80214 1.04047i
\(220\) −1.09143 2.26357i −0.0735843 0.152610i
\(221\) 2.90232i 0.195231i
\(222\) −15.9894 + 2.21401i −1.07314 + 0.148594i
\(223\) 12.2726 + 12.2726i 0.821834 + 0.821834i 0.986371 0.164537i \(-0.0526130\pi\)
−0.164537 + 0.986371i \(0.552613\pi\)
\(224\) 1.95638 + 0.524210i 0.130716 + 0.0350252i
\(225\) −15.8139 12.5861i −1.05426 0.839073i
\(226\) −4.26128 2.46025i −0.283456 0.163653i
\(227\) 7.24577 + 4.18335i 0.480919 + 0.277659i 0.720799 0.693144i \(-0.243775\pi\)
−0.239881 + 0.970802i \(0.577108\pi\)
\(228\) 2.66027 0.176180
\(229\) 1.15819 + 0.668684i 0.0765356 + 0.0441879i 0.537779 0.843086i \(-0.319263\pi\)
−0.461244 + 0.887273i \(0.652597\pi\)
\(230\) 0.976456 13.1152i 0.0643856 0.864790i
\(231\) 3.02019 + 5.23113i 0.198714 + 0.344183i
\(232\) −2.37706 + 2.37706i −0.156061 + 0.156061i
\(233\) 1.84053 1.84053i 0.120577 0.120577i −0.644243 0.764821i \(-0.722828\pi\)
0.764821 + 0.644243i \(0.222828\pi\)
\(234\) 16.6597 9.61850i 1.08908 0.628781i
\(235\) −12.9451 + 2.45584i −0.844443 + 0.160201i
\(236\) −4.95664 4.95664i −0.322650 0.322650i
\(237\) 6.19619 + 10.7321i 0.402486 + 0.697126i
\(238\) −0.319693 + 1.19311i −0.0207226 + 0.0773380i
\(239\) 5.49007 20.4892i 0.355123 1.32534i −0.525206 0.850975i \(-0.676012\pi\)
0.880329 0.474363i \(-0.157322\pi\)
\(240\) −5.82991 + 1.10601i −0.376319 + 0.0713923i
\(241\) 2.12638 + 7.93574i 0.136972 + 0.511186i 0.999982 + 0.00599947i \(0.00190970\pi\)
−0.863010 + 0.505187i \(0.831424\pi\)
\(242\) 4.86850 + 8.43249i 0.312959 + 0.542061i
\(243\) −20.2853 5.43544i −1.30131 0.348684i
\(244\) 3.60599 13.4578i 0.230850 0.861544i
\(245\) −6.46177 0.481094i −0.412827 0.0307360i
\(246\) −22.4177 + 6.00681i −1.42930 + 0.382980i
\(247\) 1.23476 4.60820i 0.0785661 0.293213i
\(248\) 3.83799 + 3.83799i 0.243713 + 0.243713i
\(249\) −9.47577 −0.600502
\(250\) 10.6788 3.31099i 0.675388 0.209406i
\(251\) −13.6105 13.6105i −0.859084 0.859084i 0.132146 0.991230i \(-0.457813\pi\)
−0.991230 + 0.132146i \(0.957813\pi\)
\(252\) 7.90811 2.11897i 0.498164 0.133483i
\(253\) 6.60984i 0.415557i
\(254\) −1.84957 6.90268i −0.116052 0.433113i
\(255\) −0.674506 3.55542i −0.0422392 0.222649i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −6.00922 + 3.46942i −0.374845 + 0.216417i −0.675573 0.737293i \(-0.736104\pi\)
0.300728 + 0.953710i \(0.402770\pi\)
\(258\) 4.74683 4.74683i 0.295525 0.295525i
\(259\) −4.63837 + 11.4135i −0.288214 + 0.709199i
\(260\) −0.790097 + 10.6121i −0.0489997 + 0.658136i
\(261\) −3.51698 + 13.1256i −0.217696 + 0.812452i
\(262\) 19.6201 5.25720i 1.21214 0.324791i
\(263\) −8.10871 30.2621i −0.500005 1.86604i −0.499971 0.866042i \(-0.666656\pi\)
−3.36436e−5 1.00000i \(-0.500011\pi\)
\(264\) −2.88071 + 0.771884i −0.177295 + 0.0475062i
\(265\) 6.00691 5.17444i 0.369002 0.317863i
\(266\) 1.01519 1.75837i 0.0622456 0.107812i
\(267\) 36.4337i 2.22971i
\(268\) −3.75560 + 14.0161i −0.229410 + 0.856169i
\(269\) 17.3508i 1.05789i −0.848655 0.528947i \(-0.822587\pi\)
0.848655 0.528947i \(-0.177413\pi\)
\(270\) −4.68566 + 4.03629i −0.285160 + 0.245641i
\(271\) −8.45565 14.6456i −0.513644 0.889658i −0.999875 0.0158271i \(-0.994962\pi\)
0.486231 0.873830i \(-0.338371\pi\)
\(272\) −0.528152 0.304929i −0.0320239 0.0184890i
\(273\) 25.5789i 1.54810i
\(274\) 5.72353 + 1.53361i 0.345771 + 0.0926490i
\(275\) 5.22873 2.05798i 0.315304 0.124101i
\(276\) −15.0761 4.03962i −0.907473 0.243157i
\(277\) −11.9817 + 20.7529i −0.719912 + 1.24692i 0.241122 + 0.970495i \(0.422484\pi\)
−0.961034 + 0.276429i \(0.910849\pi\)
\(278\) −5.56954 + 9.64673i −0.334039 + 0.578572i
\(279\) 21.1925 + 5.67852i 1.26876 + 0.339964i
\(280\) −1.49373 + 4.27549i −0.0892676 + 0.255509i
\(281\) 23.0722 + 6.18218i 1.37637 + 0.368798i 0.869802 0.493400i \(-0.164246\pi\)
0.506571 + 0.862198i \(0.330913\pi\)
\(282\) 15.6369i 0.931167i
\(283\) −4.68580 2.70535i −0.278542 0.160816i 0.354221 0.935162i \(-0.384746\pi\)
−0.632763 + 0.774345i \(0.718079\pi\)
\(284\) −3.54588 6.14164i −0.210409 0.364439i
\(285\) −0.441660 + 5.93212i −0.0261617 + 0.351388i
\(286\) 5.34833i 0.316254i
\(287\) −4.58456 + 17.1098i −0.270618 + 1.00996i
\(288\) 4.04222i 0.238190i
\(289\) −8.31404 + 14.4003i −0.489061 + 0.847078i
\(290\) −4.90595 5.69523i −0.288087 0.334435i
\(291\) 27.6950 7.42086i 1.62351 0.435018i
\(292\) −3.00346 11.2091i −0.175764 0.655962i
\(293\) 4.01883 1.07684i 0.234783 0.0629098i −0.139509 0.990221i \(-0.544552\pi\)
0.374292 + 0.927311i \(0.377886\pi\)
\(294\) −1.99030 + 7.42789i −0.116076 + 0.433203i
\(295\) 11.8757 10.2299i 0.691430 0.595607i
\(296\) −4.85045 3.67057i −0.281927 0.213348i
\(297\) −2.19786 + 2.19786i −0.127533 + 0.127533i
\(298\) −1.37555 + 0.794171i −0.0796832 + 0.0460051i
\(299\) −13.9951 + 24.2403i −0.809360 + 1.40185i
\(300\) −1.49839 13.1837i −0.0865096 0.761162i
\(301\) −1.32608 4.94899i −0.0764338 0.285255i
\(302\) 12.0078i 0.690973i
\(303\) 35.3105 9.46143i 2.02854 0.543545i
\(304\) 0.708852 + 0.708852i 0.0406554 + 0.0406554i
\(305\) 29.4107 + 10.2753i 1.68405 + 0.588360i
\(306\) −2.46518 −0.140925
\(307\) 19.1402 + 19.1402i 1.09239 + 1.09239i 0.995273 + 0.0971133i \(0.0309609\pi\)
0.0971133 + 0.995273i \(0.469039\pi\)
\(308\) −0.589123 + 2.19864i −0.0335684 + 0.125279i
\(309\) 46.1990 12.3790i 2.62817 0.704215i
\(310\) −9.19551 + 7.92113i −0.522270 + 0.449890i
\(311\) −1.52724 + 5.69972i −0.0866016 + 0.323202i −0.995613 0.0935704i \(-0.970172\pi\)
0.909011 + 0.416772i \(0.136839\pi\)
\(312\) 12.1988 + 3.26865i 0.690619 + 0.185051i
\(313\) 14.8031 + 25.6397i 0.836719 + 1.44924i 0.892623 + 0.450804i \(0.148863\pi\)
−0.0559040 + 0.998436i \(0.517804\pi\)
\(314\) −1.89408 7.06880i −0.106889 0.398915i
\(315\) 3.41217 + 17.9861i 0.192254 + 1.01340i
\(316\) −1.20864 + 4.51070i −0.0679912 + 0.253747i
\(317\) 2.55646 9.54085i 0.143585 0.535868i −0.856229 0.516596i \(-0.827199\pi\)
0.999814 0.0192712i \(-0.00613459\pi\)
\(318\) −4.70456 8.14854i −0.263819 0.456948i
\(319\) −2.67141 2.67141i −0.149570 0.149570i
\(320\) −1.84814 1.25873i −0.103314 0.0703649i
\(321\) 6.56477 3.79017i 0.366410 0.211547i
\(322\) −8.42333 + 8.42333i −0.469414 + 0.469414i
\(323\) −0.432299 + 0.432299i −0.0240537 + 0.0240537i
\(324\) −2.39356 4.14577i −0.132976 0.230320i
\(325\) −23.5327 3.52367i −1.30536 0.195458i
\(326\) 3.61734 + 2.08847i 0.200346 + 0.115670i
\(327\) 44.3152 2.45064
\(328\) −7.57396 4.37283i −0.418202 0.241449i
\(329\) 10.3356 + 5.96728i 0.569822 + 0.328987i
\(330\) −1.24296 6.55183i −0.0684229 0.360667i
\(331\) −5.18854 1.39026i −0.285188 0.0764159i 0.113389 0.993551i \(-0.463829\pi\)
−0.398577 + 0.917135i \(0.630496\pi\)
\(332\) −2.52490 2.52490i −0.138572 0.138572i
\(333\) −24.3984 3.04614i −1.33703 0.166927i
\(334\) 5.42518i 0.296853i
\(335\) −30.6309 10.7016i −1.67355 0.584689i
\(336\) 4.65473 + 2.68741i 0.253936 + 0.146610i
\(337\) 24.0356 6.44031i 1.30930 0.350826i 0.464341 0.885657i \(-0.346291\pi\)
0.844959 + 0.534831i \(0.179625\pi\)
\(338\) 4.82413 8.35563i 0.262398 0.454486i
\(339\) −9.23314 9.23314i −0.501475 0.501475i
\(340\) 0.767644 1.12710i 0.0416313 0.0611256i
\(341\) −4.31325 + 4.31325i −0.233576 + 0.233576i
\(342\) 3.91412 + 1.04878i 0.211651 + 0.0567118i
\(343\) 14.1753 + 14.1753i 0.765394 + 0.765394i
\(344\) 2.52967 0.136391
\(345\) 11.5109 32.9474i 0.619725 1.77383i
\(346\) −1.03403 3.85906i −0.0555898 0.207464i
\(347\) −24.0293 −1.28996 −0.644981 0.764198i \(-0.723135\pi\)
−0.644981 + 0.764198i \(0.723135\pi\)
\(348\) −7.72573 + 4.46045i −0.414143 + 0.239105i
\(349\) −28.9043 + 16.6879i −1.54721 + 0.893283i −0.548858 + 0.835916i \(0.684937\pi\)
−0.998353 + 0.0573673i \(0.981729\pi\)
\(350\) −9.28591 4.04069i −0.496353 0.215984i
\(351\) 12.7138 3.40665i 0.678612 0.181833i
\(352\) −0.973266 0.561916i −0.0518753 0.0299502i
\(353\) 25.7151 14.8466i 1.36867 0.790205i 0.377916 0.925840i \(-0.376641\pi\)
0.990759 + 0.135635i \(0.0433075\pi\)
\(354\) −9.30095 16.1097i −0.494340 0.856222i
\(355\) 14.2839 6.88730i 0.758111 0.365540i
\(356\) −9.70810 + 9.70810i −0.514528 + 0.514528i
\(357\) −1.63894 + 2.83872i −0.0867417 + 0.150241i
\(358\) −19.2915 5.16913i −1.01959 0.273197i
\(359\) 8.36739i 0.441614i −0.975318 0.220807i \(-0.929131\pi\)
0.975318 0.220807i \(-0.0708691\pi\)
\(360\) −9.01373 0.671093i −0.475065 0.0353697i
\(361\) −15.5842 + 8.99753i −0.820220 + 0.473554i
\(362\) −11.6682 −0.613265
\(363\) 6.68769 + 24.9588i 0.351013 + 1.31000i
\(364\) 6.81571 6.81571i 0.357240 0.357240i
\(365\) 25.4937 4.83647i 1.33440 0.253153i
\(366\) 18.4865 32.0195i 0.966302 1.67368i
\(367\) 0.472693 + 1.76411i 0.0246744 + 0.0920860i 0.977165 0.212482i \(-0.0681546\pi\)
−0.952491 + 0.304568i \(0.901488\pi\)
\(368\) −2.94076 5.09355i −0.153298 0.265520i
\(369\) −35.3519 −1.84035
\(370\) 8.99027 10.2066i 0.467382 0.530617i
\(371\) −7.18131 −0.372835
\(372\) 7.20184 + 12.4740i 0.373398 + 0.646744i
\(373\) 8.64253 + 32.2544i 0.447493 + 1.67007i 0.709268 + 0.704939i \(0.249026\pi\)
−0.261774 + 0.965129i \(0.584308\pi\)
\(374\) 0.342689 0.593554i 0.0177200 0.0306919i
\(375\) 29.6471 1.15248i 1.53097 0.0595139i
\(376\) −4.16660 + 4.16660i −0.214876 + 0.214876i
\(377\) 4.14064 + 15.4531i 0.213254 + 0.795875i
\(378\) 5.60174 0.288122
\(379\) 10.4144 6.01276i 0.534952 0.308855i −0.208079 0.978112i \(-0.566721\pi\)
0.743031 + 0.669257i \(0.233388\pi\)
\(380\) −1.69835 + 1.46298i −0.0871235 + 0.0750494i
\(381\) 18.9640i 0.971553i
\(382\) 18.4639 + 4.94739i 0.944696 + 0.253131i
\(383\) −0.0359998 + 0.0623535i −0.00183950 + 0.00318611i −0.866944 0.498406i \(-0.833919\pi\)
0.865104 + 0.501592i \(0.167252\pi\)
\(384\) −1.87646 + 1.87646i −0.0957578 + 0.0957578i
\(385\) −4.80493 1.67870i −0.244882 0.0855547i
\(386\) 6.40923 + 11.1011i 0.326221 + 0.565032i
\(387\) 8.85552 5.11274i 0.450151 0.259895i
\(388\) 9.35694 + 5.40223i 0.475027 + 0.274257i
\(389\) −18.5818 + 4.97897i −0.942132 + 0.252444i −0.697020 0.717051i \(-0.745491\pi\)
−0.245112 + 0.969495i \(0.578825\pi\)
\(390\) −9.31400 + 26.6593i −0.471633 + 1.34995i
\(391\) 3.10634 1.79345i 0.157094 0.0906985i
\(392\) −2.50956 + 1.44889i −0.126752 + 0.0731802i
\(393\) 53.9030 2.71905
\(394\) −0.220478 0.822836i −0.0111075 0.0414539i
\(395\) −9.85773 3.44401i −0.495996 0.173287i
\(396\) −4.54277 −0.228283
\(397\) −9.99150 9.99150i −0.501459 0.501459i 0.410432 0.911891i \(-0.365378\pi\)
−0.911891 + 0.410432i \(0.865378\pi\)
\(398\) −15.4109 4.12933i −0.772476 0.206984i
\(399\) 3.80995 3.80995i 0.190736 0.190736i
\(400\) 3.11366 3.91218i 0.155683 0.195609i
\(401\) −22.6392 22.6392i −1.13055 1.13055i −0.990086 0.140461i \(-0.955141\pi\)
−0.140461 0.990086i \(-0.544859\pi\)
\(402\) −19.2534 + 33.3479i −0.960274 + 1.66324i
\(403\) 24.9505 6.68548i 1.24287 0.333027i
\(404\) 11.9299 + 6.88772i 0.593534 + 0.342677i
\(405\) 9.64202 4.64911i 0.479116 0.231016i
\(406\) 6.80869i 0.337909i
\(407\) 4.12510 5.45109i 0.204474 0.270201i
\(408\) −1.14437 1.14437i −0.0566550 0.0566550i
\(409\) −21.4024 5.73477i −1.05828 0.283566i −0.312612 0.949881i \(-0.601204\pi\)
−0.745670 + 0.666315i \(0.767871\pi\)
\(410\) 11.0084 16.1632i 0.543666 0.798242i
\(411\) 13.6177 + 7.86221i 0.671714 + 0.387814i
\(412\) 15.6086 + 9.01164i 0.768981 + 0.443972i
\(413\) −14.1975 −0.698613
\(414\) −20.5892 11.8872i −1.01191 0.584224i
\(415\) 6.04946 5.21108i 0.296956 0.255802i
\(416\) 2.37951 + 4.12143i 0.116665 + 0.202070i
\(417\) −20.9021 + 20.9021i −1.02358 + 1.02358i
\(418\) −0.796629 + 0.796629i −0.0389644 + 0.0389644i
\(419\) −0.594991 + 0.343518i −0.0290672 + 0.0167820i −0.514463 0.857512i \(-0.672009\pi\)
0.485396 + 0.874294i \(0.338675\pi\)
\(420\) −6.76543 + 9.93340i −0.330119 + 0.484700i
\(421\) 21.9676 + 21.9676i 1.07064 + 1.07064i 0.997308 + 0.0733291i \(0.0233623\pi\)
0.0733291 + 0.997308i \(0.476638\pi\)
\(422\) −4.19484 7.26568i −0.204202 0.353688i
\(423\) −6.16472 + 23.0070i −0.299739 + 1.11864i
\(424\) 0.917679 3.42482i 0.0445664 0.166324i
\(425\) 2.38587 + 1.89889i 0.115732 + 0.0921096i
\(426\) −4.87085 18.1783i −0.235993 0.880739i
\(427\) −14.1094 24.4382i −0.682800 1.18265i
\(428\) 2.75917 + 0.739316i 0.133369 + 0.0357362i
\(429\) −3.67341 + 13.7094i −0.177354 + 0.661894i
\(430\) −0.419978 + 5.64090i −0.0202531 + 0.272028i
\(431\) 25.8534 6.92740i 1.24531 0.333681i 0.424790 0.905292i \(-0.360348\pi\)
0.820525 + 0.571611i \(0.193681\pi\)
\(432\) −0.715830 + 2.67152i −0.0344404 + 0.128533i
\(433\) 15.2715 + 15.2715i 0.733900 + 0.733900i 0.971390 0.237490i \(-0.0763247\pi\)
−0.237490 + 0.971390i \(0.576325\pi\)
\(434\) 10.9933 0.527695
\(435\) −8.66372 17.9681i −0.415393 0.861505i
\(436\) 11.8082 + 11.8082i 0.565510 + 0.565510i
\(437\) −5.69513 + 1.52601i −0.272435 + 0.0729988i
\(438\) 30.7951i 1.47144i
\(439\) −7.17501 26.7775i −0.342445 1.27802i −0.895569 0.444922i \(-0.853231\pi\)
0.553124 0.833099i \(-0.313435\pi\)
\(440\) 1.41460 2.07699i 0.0674382 0.0990168i
\(441\) −5.85675 + 10.1442i −0.278893 + 0.483057i
\(442\) −2.51349 + 1.45116i −0.119554 + 0.0690247i
\(443\) 0.994977 0.994977i 0.0472728 0.0472728i −0.683075 0.730348i \(-0.739358\pi\)
0.730348 + 0.683075i \(0.239358\pi\)
\(444\) −9.91208 12.7402i −0.470406 0.604623i
\(445\) −20.0363 23.2598i −0.949812 1.10262i
\(446\) −4.49208 + 16.7647i −0.212706 + 0.793830i
\(447\) −4.07139 + 1.09093i −0.192570 + 0.0515990i
\(448\) 0.524210 + 1.95638i 0.0247666 + 0.0924302i
\(449\) 20.6726 5.53920i 0.975598 0.261411i 0.264408 0.964411i \(-0.414823\pi\)
0.711190 + 0.703000i \(0.248157\pi\)
\(450\) 2.99294 19.9883i 0.141088 0.942256i
\(451\) 4.91432 8.51186i 0.231406 0.400808i
\(452\) 4.92050i 0.231441i
\(453\) 8.24737 30.7796i 0.387495 1.44615i
\(454\) 8.36669i 0.392668i
\(455\) 14.0668 + 16.3299i 0.659461 + 0.765557i
\(456\) 1.33013 + 2.30386i 0.0622892 + 0.107888i
\(457\) 13.9056 + 8.02843i 0.650479 + 0.375554i 0.788640 0.614856i \(-0.210786\pi\)
−0.138161 + 0.990410i \(0.544119\pi\)
\(458\) 1.33737i 0.0624911i
\(459\) −1.62924 0.436555i −0.0760466 0.0203766i
\(460\) 11.8463 5.71196i 0.552337 0.266321i
\(461\) −9.28681 2.48839i −0.432530 0.115896i 0.0359836 0.999352i \(-0.488544\pi\)
−0.468513 + 0.883456i \(0.655210\pi\)
\(462\) −3.02019 + 5.23113i −0.140512 + 0.243374i
\(463\) 7.67172 13.2878i 0.356535 0.617536i −0.630845 0.775909i \(-0.717291\pi\)
0.987379 + 0.158373i \(0.0506248\pi\)
\(464\) −3.24712 0.870063i −0.150744 0.0403917i
\(465\) −29.0113 + 13.9884i −1.34537 + 0.648698i
\(466\) 2.51421 + 0.673681i 0.116469 + 0.0312077i
\(467\) 3.94300i 0.182460i 0.995830 + 0.0912301i \(0.0290799\pi\)
−0.995830 + 0.0912301i \(0.970920\pi\)
\(468\) 16.6597 + 9.61850i 0.770096 + 0.444615i
\(469\) 14.6947 + 25.4521i 0.678540 + 1.17527i
\(470\) −8.59935 9.98284i −0.396658 0.460474i
\(471\) 19.4203i 0.894842i
\(472\) 1.81426 6.77090i 0.0835079 0.311656i
\(473\) 2.84292i 0.130718i
\(474\) −6.19619 + 10.7321i −0.284601 + 0.492943i
\(475\) −2.98033 4.03003i −0.136747 0.184910i
\(476\) −1.19311 + 0.319693i −0.0546862 + 0.0146531i
\(477\) −3.70946 13.8439i −0.169844 0.633868i
\(478\) 20.4892 5.49007i 0.937156 0.251110i
\(479\) −3.81670 + 14.2441i −0.174389 + 0.650830i 0.822266 + 0.569104i \(0.192710\pi\)
−0.996655 + 0.0817257i \(0.973957\pi\)
\(480\) −3.87278 4.49585i −0.176768 0.205206i
\(481\) −26.6697 + 11.2567i −1.21603 + 0.513259i
\(482\) −5.80937 + 5.80937i −0.264609 + 0.264609i
\(483\) −27.3769 + 15.8061i −1.24569 + 0.719201i
\(484\) −4.86850 + 8.43249i −0.221296 + 0.383295i
\(485\) −13.5999 + 19.9681i −0.617538 + 0.906706i
\(486\) −5.43544 20.2853i −0.246557 0.920162i
\(487\) 40.5464i 1.83733i 0.395035 + 0.918666i \(0.370733\pi\)
−0.395035 + 0.918666i \(0.629267\pi\)
\(488\) 13.4578 3.60599i 0.609204 0.163236i
\(489\) 7.83787 + 7.83787i 0.354441 + 0.354441i
\(490\) −2.81425 5.83660i −0.127135 0.263671i
\(491\) −2.02704 −0.0914790 −0.0457395 0.998953i \(-0.514564\pi\)
−0.0457395 + 0.998953i \(0.514564\pi\)
\(492\) −16.4109 16.4109i −0.739860 0.739860i
\(493\) 0.530614 1.98028i 0.0238977 0.0891873i
\(494\) 4.60820 1.23476i 0.207333 0.0555547i
\(495\) 0.754195 10.1299i 0.0338986 0.455306i
\(496\) −1.40480 + 5.24279i −0.0630775 + 0.235408i
\(497\) −13.8742 3.71757i −0.622341 0.166756i
\(498\) −4.73788 8.20625i −0.212310 0.367731i
\(499\) −10.0374 37.4600i −0.449335 1.67694i −0.704229 0.709973i \(-0.748707\pi\)
0.254894 0.966969i \(-0.417959\pi\)
\(500\) 8.20682 + 7.59264i 0.367020 + 0.339553i
\(501\) 3.72619 13.9063i 0.166474 0.621290i
\(502\) 4.98177 18.5922i 0.222347 0.829812i
\(503\) −1.86775 3.23504i −0.0832789 0.144243i 0.821378 0.570385i \(-0.193206\pi\)
−0.904657 + 0.426141i \(0.859873\pi\)
\(504\) 5.78914 + 5.78914i 0.257869 + 0.257869i
\(505\) −17.3395 + 25.4589i −0.771598 + 1.13291i
\(506\) 5.72429 3.30492i 0.254476 0.146922i
\(507\) 18.1046 18.1046i 0.804053 0.804053i
\(508\) 5.05311 5.05311i 0.224196 0.224196i
\(509\) 14.5825 + 25.2577i 0.646360 + 1.11953i 0.983986 + 0.178248i \(0.0570428\pi\)
−0.337626 + 0.941280i \(0.609624\pi\)
\(510\) 2.74183 2.36185i 0.121410 0.104584i
\(511\) −20.3548 11.7518i −0.900441 0.519870i
\(512\) −1.00000 −0.0441942
\(513\) 2.40113 + 1.38629i 0.106012 + 0.0612062i
\(514\) −6.00922 3.46942i −0.265055 0.153030i
\(515\) −22.6864 + 33.3095i −0.999681 + 1.46779i
\(516\) 6.48429 + 1.73746i 0.285455 + 0.0764874i
\(517\) −4.68256 4.68256i −0.205939 0.205939i
\(518\) −12.2035 + 1.68979i −0.536193 + 0.0742451i
\(519\) 10.6021i 0.465381i
\(520\) −9.58541 + 4.62181i −0.420348 + 0.202680i
\(521\) 14.2125 + 8.20557i 0.622659 + 0.359492i 0.777904 0.628384i \(-0.216283\pi\)
−0.155244 + 0.987876i \(0.549617\pi\)
\(522\) −13.1256 + 3.51698i −0.574490 + 0.153934i
\(523\) −17.0300 + 29.4968i −0.744668 + 1.28980i 0.205681 + 0.978619i \(0.434059\pi\)
−0.950350 + 0.311184i \(0.899274\pi\)
\(524\) 14.3629 + 14.3629i 0.627448 + 0.627448i
\(525\) −21.0272 16.7353i −0.917704 0.730390i
\(526\) 22.1534 22.1534i 0.965935 0.965935i
\(527\) −3.19736 0.856729i −0.139279 0.0373197i
\(528\) −2.10883 2.10883i −0.0917749 0.0917749i
\(529\) 11.5923 0.504014
\(530\) 7.48465 + 2.61492i 0.325112 + 0.113585i
\(531\) −7.33362 27.3695i −0.318252 1.18773i
\(532\) 2.03039 0.0880285
\(533\) −36.0446 + 20.8104i −1.56127 + 0.901398i
\(534\) −31.5525 + 18.2169i −1.36541 + 0.788321i
\(535\) −2.10668 + 6.02991i −0.0910796 + 0.260696i
\(536\) −14.0161 + 3.75560i −0.605403 + 0.162217i
\(537\) −45.8994 26.5000i −1.98070 1.14356i
\(538\) 15.0262 8.67538i 0.647825 0.374022i
\(539\) −1.62831 2.82032i −0.0701364 0.121480i
\(540\) −5.83836 2.03975i −0.251243 0.0877771i
\(541\) 8.61393 8.61393i 0.370342 0.370342i −0.497260 0.867602i \(-0.665660\pi\)
0.867602 + 0.497260i \(0.165660\pi\)
\(542\) 8.45565 14.6456i 0.363201 0.629083i
\(543\) −29.9089 8.01407i −1.28351 0.343917i
\(544\) 0.609858i 0.0261474i
\(545\) −28.2914 + 24.3706i −1.21187 + 1.04392i
\(546\) 22.1519 12.7894i 0.948015 0.547337i
\(547\) −1.86737 −0.0798431 −0.0399215 0.999203i \(-0.512711\pi\)
−0.0399215 + 0.999203i \(0.512711\pi\)
\(548\) 1.53361 + 5.72353i 0.0655128 + 0.244497i
\(549\) 39.8230 39.8230i 1.69960 1.69960i
\(550\) 4.39663 + 3.49923i 0.187473 + 0.149208i
\(551\) −1.68498 + 2.91847i −0.0717826 + 0.124331i
\(552\) −4.03962 15.0761i −0.171938 0.641681i
\(553\) 4.72911 + 8.19105i 0.201102 + 0.348319i
\(554\) −23.9634 −1.01811
\(555\) 30.0550 19.9878i 1.27576 0.848433i
\(556\) −11.1391 −0.472402
\(557\) 20.3530 + 35.2525i 0.862386 + 1.49370i 0.869620 + 0.493722i \(0.164364\pi\)
−0.00723424 + 0.999974i \(0.502303\pi\)
\(558\) 5.67852 + 21.1925i 0.240391 + 0.897151i
\(559\) 6.01937 10.4259i 0.254592 0.440967i
\(560\) −4.44955 + 0.844134i −0.188028 + 0.0356712i
\(561\) 1.28608 1.28608i 0.0542985 0.0542985i
\(562\) 6.18218 + 23.0722i 0.260780 + 0.973243i
\(563\) −12.4306 −0.523887 −0.261943 0.965083i \(-0.584363\pi\)
−0.261943 + 0.965083i \(0.584363\pi\)
\(564\) −13.5420 + 7.81847i −0.570221 + 0.329217i
\(565\) 10.9722 + 0.816906i 0.461604 + 0.0343675i
\(566\) 5.41070i 0.227429i
\(567\) −9.36542 2.50946i −0.393311 0.105387i
\(568\) 3.54588 6.14164i 0.148782 0.257697i
\(569\) 0.758462 0.758462i 0.0317964 0.0317964i −0.691030 0.722826i \(-0.742843\pi\)
0.722826 + 0.691030i \(0.242843\pi\)
\(570\) −5.35819 + 2.58357i −0.224430 + 0.108214i
\(571\) −1.95838 3.39202i −0.0819558 0.141952i 0.822134 0.569294i \(-0.192783\pi\)
−0.904090 + 0.427342i \(0.859450\pi\)
\(572\) −4.63179 + 2.67417i −0.193665 + 0.111813i
\(573\) 43.9304 + 25.3632i 1.83522 + 1.05956i
\(574\) −17.1098 + 4.58456i −0.714150 + 0.191356i
\(575\) 10.7703 + 27.3644i 0.449154 + 1.14117i
\(576\) −3.50066 + 2.02111i −0.145861 + 0.0842129i
\(577\) −7.95453 + 4.59255i −0.331151 + 0.191190i −0.656352 0.754455i \(-0.727901\pi\)
0.325201 + 0.945645i \(0.394568\pi\)
\(578\) −16.6281 −0.691637
\(579\) 8.80414 + 32.8575i 0.365888 + 1.36551i
\(580\) 2.47924 7.09629i 0.102945 0.294657i
\(581\) −7.23217 −0.300041
\(582\) 20.2742 + 20.2742i 0.840391 + 0.840391i
\(583\) 3.84892 + 1.03132i 0.159406 + 0.0427128i
\(584\) 8.20562 8.20562i 0.339551 0.339551i
\(585\) −24.2141 + 35.5526i −1.00113 + 1.46992i
\(586\) 2.94199 + 2.94199i 0.121532 + 0.121532i
\(587\) 7.19146 12.4560i 0.296823 0.514113i −0.678584 0.734523i \(-0.737406\pi\)
0.975407 + 0.220410i \(0.0707395\pi\)
\(588\) −7.42789 + 1.99030i −0.306321 + 0.0820785i
\(589\) 4.71216 + 2.72056i 0.194161 + 0.112099i
\(590\) 14.7972 + 5.16972i 0.609191 + 0.212834i
\(591\) 2.26060i 0.0929887i
\(592\) 0.753581 6.03590i 0.0309720 0.248074i
\(593\) −17.4500 17.4500i −0.716584 0.716584i 0.251320 0.967904i \(-0.419135\pi\)
−0.967904 + 0.251320i \(0.919135\pi\)
\(594\) −3.00233 0.804472i −0.123187 0.0330079i
\(595\) −0.514802 2.71359i −0.0211048 0.111246i
\(596\) −1.37555 0.794171i −0.0563445 0.0325305i
\(597\) −36.6664 21.1694i −1.50066 0.866404i
\(598\) −27.9903 −1.14461
\(599\) 12.7512 + 7.36193i 0.521001 + 0.300800i 0.737344 0.675517i \(-0.236080\pi\)
−0.216343 + 0.976317i \(0.569413\pi\)
\(600\) 10.6682 7.88950i 0.435529 0.322088i
\(601\) −13.4916 23.3682i −0.550336 0.953209i −0.998250 0.0591330i \(-0.981166\pi\)
0.447914 0.894076i \(-0.352167\pi\)
\(602\) 3.62291 3.62291i 0.147659 0.147659i
\(603\) −41.4752 + 41.4752i −1.68900 + 1.68900i
\(604\) 10.3991 6.00392i 0.423133 0.244296i
\(605\) −17.9953 12.2562i −0.731613 0.498286i
\(606\) 25.8491 + 25.8491i 1.05005 + 1.05005i
\(607\) 0.945249 + 1.63722i 0.0383665 + 0.0664527i 0.884571 0.466406i \(-0.154451\pi\)
−0.846205 + 0.532858i \(0.821118\pi\)
\(608\) −0.259458 + 0.968309i −0.0105224 + 0.0392701i
\(609\) −4.67643 + 17.4527i −0.189498 + 0.707218i
\(610\) 5.80672 + 30.6081i 0.235107 + 1.23928i
\(611\) 7.25790 + 27.0868i 0.293623 + 1.09582i
\(612\) −1.23259 2.13491i −0.0498245 0.0862985i
\(613\) −24.2316 6.49283i −0.978704 0.262243i −0.266205 0.963916i \(-0.585770\pi\)
−0.712499 + 0.701673i \(0.752437\pi\)
\(614\) −7.00578 + 26.1459i −0.282730 + 1.05516i
\(615\) 39.3192 33.8700i 1.58550 1.36577i
\(616\) −2.19864 + 0.589123i −0.0885857 + 0.0237365i
\(617\) 1.23831 4.62145i 0.0498526 0.186052i −0.936510 0.350642i \(-0.885963\pi\)
0.986362 + 0.164590i \(0.0526300\pi\)
\(618\) 33.8200 + 33.8200i 1.36044 + 1.36044i
\(619\) 2.92309 0.117489 0.0587445 0.998273i \(-0.481290\pi\)
0.0587445 + 0.998273i \(0.481290\pi\)
\(620\) −11.4577 4.00298i −0.460150 0.160763i
\(621\) −11.5024 11.5024i −0.461576 0.461576i
\(622\) −5.69972 + 1.52724i −0.228538 + 0.0612366i
\(623\) 27.8072i 1.11407i
\(624\) 3.26865 + 12.1988i 0.130851 + 0.488341i
\(625\) −18.2933 + 17.0398i −0.731732 + 0.681592i
\(626\) −14.8031 + 25.6397i −0.591650 + 1.02477i
\(627\) −2.58915 + 1.49484i −0.103401 + 0.0596984i
\(628\) 5.17472 5.17472i 0.206494 0.206494i
\(629\) 3.68104 + 0.459577i 0.146773 + 0.0183245i
\(630\) −13.8703 + 11.9481i −0.552606 + 0.476022i
\(631\) 9.97860 37.2406i 0.397242 1.48253i −0.420687 0.907206i \(-0.638211\pi\)
0.817928 0.575320i \(-0.195123\pi\)
\(632\) −4.51070 + 1.20864i −0.179426 + 0.0480771i
\(633\) −5.76231 21.5052i −0.229031 0.854757i
\(634\) 9.54085 2.55646i 0.378916 0.101530i
\(635\) 10.4290 + 12.1068i 0.413862 + 0.480445i
\(636\) 4.70456 8.14854i 0.186548 0.323111i
\(637\) 13.7906i 0.546405i
\(638\) 0.977804 3.64921i 0.0387116 0.144474i
\(639\) 28.6664i 1.13403i
\(640\) 0.166021 2.22990i 0.00656255 0.0881444i
\(641\) −16.5248 28.6217i −0.652689 1.13049i −0.982468 0.186432i \(-0.940307\pi\)
0.329779 0.944058i \(-0.393026\pi\)
\(642\) 6.56477 + 3.79017i 0.259091 + 0.149586i
\(643\) 11.6270i 0.458523i −0.973365 0.229262i \(-0.926369\pi\)
0.973365 0.229262i \(-0.0736311\pi\)
\(644\) −11.5065 3.08315i −0.453419 0.121493i
\(645\) −4.95088 + 14.1708i −0.194941 + 0.557976i
\(646\) −0.590531 0.158232i −0.0232341 0.00622556i
\(647\) −4.49154 + 7.77957i −0.176581 + 0.305847i −0.940707 0.339220i \(-0.889837\pi\)
0.764127 + 0.645066i \(0.223170\pi\)
\(648\) 2.39356 4.14577i 0.0940279 0.162861i
\(649\) 7.60935 + 2.03892i 0.298693 + 0.0800345i
\(650\) −8.71479 22.1418i −0.341822 0.868472i
\(651\) 28.1790 + 7.55055i 1.10442 + 0.295930i
\(652\) 4.17694i 0.163582i
\(653\) 32.6893 + 18.8732i 1.27923 + 0.738563i 0.976707 0.214579i \(-0.0688378\pi\)
0.302523 + 0.953142i \(0.402171\pi\)
\(654\) 22.1576 + 38.3781i 0.866431 + 1.50070i
\(655\) −34.4124 + 29.6433i −1.34460 + 1.15826i
\(656\) 8.74566i 0.341461i
\(657\) 12.1407 45.3096i 0.473652 1.76769i
\(658\) 11.9346i 0.465257i
\(659\) 17.7677 30.7746i 0.692132 1.19881i −0.279006 0.960289i \(-0.590005\pi\)
0.971138 0.238518i \(-0.0766617\pi\)
\(660\) 5.05257 4.35235i 0.196671 0.169415i
\(661\) −32.5227 + 8.71443i −1.26499 + 0.338952i −0.828108 0.560568i \(-0.810583\pi\)
−0.436879 + 0.899521i \(0.643916\pi\)
\(662\) −1.39026 5.18854i −0.0540342 0.201658i
\(663\) −7.43951 + 1.99341i −0.288927 + 0.0774177i
\(664\) 0.924178 3.44908i 0.0358651 0.133850i
\(665\) −0.337087 + 4.52756i −0.0130717 + 0.175571i
\(666\) −9.56119 22.6527i −0.370488 0.877776i
\(667\) 13.9807 13.9807i 0.541335 0.541335i
\(668\) 4.69835 2.71259i 0.181785 0.104953i
\(669\) −23.0291 + 39.8875i −0.890355 + 1.54214i
\(670\) −6.04764 31.8779i −0.233641 1.23155i
\(671\) 4.05253 + 15.1242i 0.156446 + 0.583865i
\(672\) 5.37482i 0.207338i
\(673\) −15.6901 + 4.20415i −0.604809 + 0.162058i −0.548213 0.836339i \(-0.684692\pi\)
−0.0565967 + 0.998397i \(0.518025\pi\)
\(674\) 17.5953 + 17.5953i 0.677744 + 0.677744i
\(675\) 5.51773 12.6803i 0.212378 0.488065i
\(676\) 9.64825 0.371087
\(677\) 16.5260 + 16.5260i 0.635145 + 0.635145i 0.949354 0.314209i \(-0.101739\pi\)
−0.314209 + 0.949354i \(0.601739\pi\)
\(678\) 3.37956 12.6127i 0.129791 0.484388i
\(679\) 21.1376 5.66381i 0.811187 0.217357i
\(680\) 1.35992 + 0.101249i 0.0521505 + 0.00388273i
\(681\) −5.74652 + 21.4463i −0.220207 + 0.821824i
\(682\) −5.89201 1.57876i −0.225617 0.0604538i
\(683\) −15.8504 27.4537i −0.606499 1.05049i −0.991813 0.127701i \(-0.959240\pi\)
0.385314 0.922786i \(-0.374093\pi\)
\(684\) 1.04878 + 3.91412i 0.0401013 + 0.149660i
\(685\) −13.0175 + 2.46958i −0.497372 + 0.0943576i
\(686\) −5.18852 + 19.3638i −0.198099 + 0.739314i
\(687\) −0.918548 + 3.42807i −0.0350448 + 0.130789i
\(688\) 1.26483 + 2.19076i 0.0482214 + 0.0835218i
\(689\) −11.9316 11.9316i −0.454556 0.454556i
\(690\) 34.2888 6.50500i 1.30535 0.247641i
\(691\) 37.5818 21.6979i 1.42968 0.825426i 0.432585 0.901593i \(-0.357602\pi\)
0.997095 + 0.0761670i \(0.0242682\pi\)
\(692\) 2.82502 2.82502i 0.107391 0.107391i
\(693\) −6.50601 + 6.50601i −0.247143 + 0.247143i
\(694\) −12.0147 20.8100i −0.456071 0.789937i
\(695\) 1.84932 24.8390i 0.0701487 0.942197i
\(696\) −7.72573 4.46045i −0.292843 0.169073i
\(697\) 5.33361 0.202025
\(698\) −28.9043 16.6879i −1.09404 0.631646i
\(699\) 5.98196 + 3.45369i 0.226259 + 0.130630i
\(700\) −1.14361 10.0622i −0.0432245 0.380315i
\(701\) 7.31445 + 1.95990i 0.276263 + 0.0740244i 0.394290 0.918986i \(-0.370990\pi\)
−0.118027 + 0.993010i \(0.537657\pi\)
\(702\) 9.30714 + 9.30714i 0.351275 + 0.351275i
\(703\) −5.64910 2.29576i −0.213060 0.0865863i
\(704\) 1.12383i 0.0423560i
\(705\) −15.1861 31.4953i −0.571943 1.18618i
\(706\) 25.7151 + 14.8466i 0.967799 + 0.558759i
\(707\) 26.9500 7.22122i 1.01356 0.271582i
\(708\) 9.30095 16.1097i 0.349551 0.605440i
\(709\) 22.7969 + 22.7969i 0.856155 + 0.856155i 0.990883 0.134728i \(-0.0430159\pi\)
−0.134728 + 0.990883i \(0.543016\pi\)
\(710\) 13.1065 + 8.92658i 0.491879 + 0.335009i
\(711\) −13.3477 + 13.3477i −0.500576 + 0.500576i
\(712\) −13.2615 3.55341i −0.496996 0.133170i
\(713\) −22.5732 22.5732i −0.845374 0.845374i
\(714\) −3.27787 −0.122671
\(715\) −5.19414 10.7724i −0.194250 0.402864i
\(716\) −5.16913 19.2915i −0.193179 0.720956i
\(717\) 56.2907 2.10221
\(718\) 7.24637 4.18369i 0.270432 0.156134i
\(719\) −34.5568 + 19.9514i −1.28875 + 0.744062i −0.978432 0.206570i \(-0.933770\pi\)
−0.310321 + 0.950632i \(0.600437\pi\)
\(720\) −3.92568 8.14167i −0.146301 0.303422i
\(721\) 35.2603 9.44798i 1.31316 0.351861i
\(722\) −15.5842 8.99753i −0.579983 0.334853i
\(723\) −18.8812 + 10.9011i −0.702199 + 0.405415i
\(724\) −5.83408 10.1049i −0.216822 0.375546i
\(725\) 15.4124 + 6.70658i 0.572402 + 0.249076i
\(726\) −18.2711 + 18.2711i −0.678105 + 0.678105i
\(727\) 9.28337 16.0793i 0.344301 0.596347i −0.640925 0.767603i \(-0.721449\pi\)
0.985227 + 0.171256i \(0.0547825\pi\)
\(728\) 9.31044 + 2.49472i 0.345068 + 0.0924606i
\(729\) 41.3692i 1.53219i
\(730\) 16.9354 + 19.6600i 0.626806 + 0.727649i
\(731\) −1.33605 + 0.771369i −0.0494156 + 0.0285301i
\(732\) 36.9729 1.36656
\(733\) 7.18267 + 26.8061i 0.265298 + 0.990106i 0.962068 + 0.272811i \(0.0879534\pi\)
−0.696770 + 0.717295i \(0.745380\pi\)
\(734\) −1.29142 + 1.29142i −0.0476672 + 0.0476672i
\(735\) −3.20497 16.8939i −0.118217 0.623139i
\(736\) 2.94076 5.09355i 0.108398 0.187751i
\(737\) −4.22066 15.7517i −0.155470 0.580222i
\(738\) −17.6759 30.6156i −0.650660 1.12698i
\(739\) 3.93004 0.144569 0.0722845 0.997384i \(-0.476971\pi\)
0.0722845 + 0.997384i \(0.476971\pi\)
\(740\) 13.3343 + 2.68249i 0.490180 + 0.0986104i
\(741\) 12.6603 0.465086
\(742\) −3.59065 6.21919i −0.131817 0.228314i
\(743\) −6.15599 22.9745i −0.225841 0.842851i −0.982066 0.188539i \(-0.939625\pi\)
0.756224 0.654312i \(-0.227042\pi\)
\(744\) −7.20184 + 12.4740i −0.264032 + 0.457317i
\(745\) 1.99929 2.93547i 0.0732483 0.107547i
\(746\) −23.6118 + 23.6118i −0.864491 + 0.864491i
\(747\) −3.73573 13.9419i −0.136683 0.510109i
\(748\) 0.685377 0.0250599
\(749\) 5.01041 2.89276i 0.183077 0.105699i
\(750\) 15.8216 + 25.0989i 0.577724 + 0.916482i
\(751\) 17.4262i 0.635893i 0.948109 + 0.317946i \(0.102993\pi\)
−0.948109 + 0.317946i \(0.897007\pi\)
\(752\) −5.69169 1.52508i −0.207554 0.0556141i
\(753\) 25.5395 44.2357i 0.930711 1.61204i
\(754\) −11.3125 + 11.3125i −0.411975 + 0.411975i
\(755\) 11.6616 + 24.1857i 0.424411 + 0.880206i
\(756\) 2.80087 + 4.85125i 0.101867 + 0.176438i
\(757\) −2.28616 + 1.31992i −0.0830919 + 0.0479731i −0.540970 0.841042i \(-0.681943\pi\)
0.457878 + 0.889015i \(0.348610\pi\)
\(758\) 10.4144 + 6.01276i 0.378268 + 0.218393i
\(759\) 16.9430 4.53985i 0.614991 0.164786i
\(760\) −2.11615 0.739323i −0.0767610 0.0268181i
\(761\) −27.4751 + 15.8628i −0.995972 + 0.575025i −0.907054 0.421014i \(-0.861674\pi\)
−0.0889182 + 0.996039i \(0.528341\pi\)
\(762\) 16.4233 9.48198i 0.594952 0.343496i
\(763\) 33.8226 1.22446
\(764\) 4.94739 + 18.4639i 0.178990 + 0.668001i
\(765\) 4.96526 2.39411i 0.179519 0.0865591i
\(766\) −0.0719996 −0.00260145
\(767\) −23.5887 23.5887i −0.851740 0.851740i
\(768\) −2.56329 0.686833i −0.0924949 0.0247839i
\(769\) 16.8239 16.8239i 0.606685 0.606685i −0.335393 0.942078i \(-0.608869\pi\)
0.942078 + 0.335393i \(0.108869\pi\)
\(770\) −0.948664 5.00054i −0.0341875 0.180207i
\(771\) −13.0205 13.0205i −0.468921 0.468921i