Properties

Label 552.2.bb.a.13.11
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.11
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11564 + 0.869107i) q^{2} +(0.540641 - 0.841254i) q^{3} +(0.489306 - 1.93922i) q^{4} +(-0.756543 - 0.345502i) q^{5} +(0.127979 + 1.40841i) q^{6} +(-3.66239 - 1.07537i) q^{7} +(1.13950 + 2.58873i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.11564 + 0.869107i) q^{2} +(0.540641 - 0.841254i) q^{3} +(0.489306 - 1.93922i) q^{4} +(-0.756543 - 0.345502i) q^{5} +(0.127979 + 1.40841i) q^{6} +(-3.66239 - 1.07537i) q^{7} +(1.13950 + 2.58873i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(1.14431 - 0.272061i) q^{10} +(2.56240 + 2.22033i) q^{11} +(-1.36684 - 1.46005i) q^{12} +(0.635317 + 2.16369i) q^{13} +(5.02052 - 1.98328i) q^{14} +(-0.699673 + 0.449652i) q^{15} +(-3.52116 - 1.89775i) q^{16} +(-1.05713 - 7.35248i) q^{17} +(1.25402 + 0.653782i) q^{18} +(-5.92823 - 0.852351i) q^{19} +(-1.04019 + 1.29805i) q^{20} +(-2.88470 + 2.49960i) q^{21} +(-4.78842 - 0.250092i) q^{22} +(2.22141 + 4.25034i) q^{23} +(2.79384 + 0.440965i) q^{24} +(-2.82132 - 3.25597i) q^{25} +(-2.58926 - 1.86174i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-3.87742 + 6.57599i) q^{28} +(-6.91690 + 0.994501i) q^{29} +(0.389787 - 1.10974i) q^{30} +(-5.48418 + 3.52447i) q^{31} +(5.57769 - 0.943061i) q^{32} +(3.25320 - 0.955225i) q^{33} +(7.56947 + 7.28397i) q^{34} +(2.39921 + 2.07893i) q^{35} +(-1.96724 + 0.360493i) q^{36} +(-6.41059 + 2.92762i) q^{37} +(7.35456 - 4.20135i) q^{38} +(2.16369 + 0.635317i) q^{39} +(0.0323299 - 2.35219i) q^{40} +(-2.34435 + 5.13341i) q^{41} +(1.04586 - 5.29577i) q^{42} +(-0.890424 + 1.38553i) q^{43} +(5.55951 - 3.88263i) q^{44} +0.831702i q^{45} +(-6.17229 - 2.81121i) q^{46} -6.67219 q^{47} +(-3.50017 + 1.93619i) q^{48} +(6.36787 + 4.09238i) q^{49} +(5.97737 + 1.18047i) q^{50} +(-6.75683 - 3.08574i) q^{51} +(4.50674 - 0.173313i) q^{52} +(2.73892 - 9.32791i) q^{53} +(1.22797 - 0.701489i) q^{54} +(-1.17144 - 2.56509i) q^{55} +(-1.38944 - 10.7063i) q^{56} +(-3.92209 + 4.52633i) q^{57} +(6.85245 - 7.12103i) q^{58} +(1.99171 + 6.78314i) q^{59} +(0.529621 + 1.57684i) q^{60} +(-2.08206 - 3.23975i) q^{61} +(3.05523 - 8.69838i) q^{62} +(0.543216 + 3.77815i) q^{63} +(-5.40308 + 5.89973i) q^{64} +(0.266914 - 1.85643i) q^{65} +(-2.79921 + 3.89306i) q^{66} +(-0.672017 + 0.582306i) q^{67} +(-14.7754 - 1.54761i) q^{68} +(4.77659 + 0.429140i) q^{69} +(-4.48347 - 0.234165i) q^{70} +(-1.95680 - 2.25827i) q^{71} +(1.88143 - 2.11192i) q^{72} +(1.68986 - 11.7532i) q^{73} +(4.60750 - 8.83765i) q^{74} +(-4.26442 + 0.613131i) q^{75} +(-4.55362 + 11.0791i) q^{76} +(-6.99681 - 10.8872i) q^{77} +(-2.96606 + 1.17169i) q^{78} +(5.10875 - 1.50006i) q^{79} +(2.00823 + 2.65229i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-1.84603 - 7.76454i) q^{82} +(4.72400 - 2.15738i) q^{83} +(3.43579 + 6.81714i) q^{84} +(-1.74053 + 5.92771i) q^{85} +(-0.210778 - 2.31962i) q^{86} +(-2.90293 + 6.35654i) q^{87} +(-2.82799 + 9.16343i) q^{88} +(14.8089 + 9.51710i) q^{89} +(-0.722838 - 0.927881i) q^{90} -8.60748i q^{91} +(9.32929 - 2.22808i) q^{92} +6.51906i q^{93} +(7.44376 - 5.79885i) q^{94} +(4.19048 + 2.69305i) q^{95} +(2.22217 - 5.20211i) q^{96} +(7.16690 - 15.6933i) q^{97} +(-10.6610 + 0.968735i) q^{98} +(0.955225 - 3.25320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11564 + 0.869107i −0.788877 + 0.614551i
\(3\) 0.540641 0.841254i 0.312139 0.485698i
\(4\) 0.489306 1.93922i 0.244653 0.969611i
\(5\) −0.756543 0.345502i −0.338336 0.154513i 0.239000 0.971020i \(-0.423180\pi\)
−0.577336 + 0.816507i \(0.695908\pi\)
\(6\) 0.127979 + 1.40841i 0.0522471 + 0.574981i
\(7\) −3.66239 1.07537i −1.38425 0.406453i −0.497005 0.867748i \(-0.665567\pi\)
−0.887247 + 0.461295i \(0.847385\pi\)
\(8\) 1.13950 + 2.58873i 0.402874 + 0.915255i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) 1.14431 0.272061i 0.361862 0.0860333i
\(11\) 2.56240 + 2.22033i 0.772592 + 0.669455i 0.949146 0.314836i \(-0.101950\pi\)
−0.176554 + 0.984291i \(0.556495\pi\)
\(12\) −1.36684 1.46005i −0.394572 0.421481i
\(13\) 0.635317 + 2.16369i 0.176205 + 0.600100i 0.999473 + 0.0324473i \(0.0103301\pi\)
−0.823268 + 0.567653i \(0.807852\pi\)
\(14\) 5.02052 1.98328i 1.34179 0.530053i
\(15\) −0.699673 + 0.449652i −0.180655 + 0.116100i
\(16\) −3.52116 1.89775i −0.880290 0.474437i
\(17\) −1.05713 7.35248i −0.256391 1.78324i −0.558034 0.829818i \(-0.688444\pi\)
0.301643 0.953421i \(-0.402465\pi\)
\(18\) 1.25402 + 0.653782i 0.295576 + 0.154098i
\(19\) −5.92823 0.852351i −1.36003 0.195543i −0.576602 0.817025i \(-0.695622\pi\)
−0.783428 + 0.621482i \(0.786531\pi\)
\(20\) −1.04019 + 1.29805i −0.232593 + 0.290252i
\(21\) −2.88470 + 2.49960i −0.629493 + 0.545458i
\(22\) −4.78842 0.250092i −1.02089 0.0533198i
\(23\) 2.22141 + 4.25034i 0.463195 + 0.886256i
\(24\) 2.79384 + 0.440965i 0.570290 + 0.0900117i
\(25\) −2.82132 3.25597i −0.564264 0.651195i
\(26\) −2.58926 1.86174i −0.507796 0.365118i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −3.87742 + 6.57599i −0.732763 + 1.24275i
\(29\) −6.91690 + 0.994501i −1.28444 + 0.184674i −0.750511 0.660857i \(-0.770193\pi\)
−0.533925 + 0.845532i \(0.679284\pi\)
\(30\) 0.389787 1.10974i 0.0711650 0.202610i
\(31\) −5.48418 + 3.52447i −0.984988 + 0.633013i −0.930804 0.365518i \(-0.880892\pi\)
−0.0541837 + 0.998531i \(0.517256\pi\)
\(32\) 5.57769 0.943061i 0.986006 0.166711i
\(33\) 3.25320 0.955225i 0.566309 0.166283i
\(34\) 7.56947 + 7.28397i 1.29815 + 1.24919i
\(35\) 2.39921 + 2.07893i 0.405541 + 0.351403i
\(36\) −1.96724 + 0.360493i −0.327874 + 0.0600822i
\(37\) −6.41059 + 2.92762i −1.05389 + 0.481297i −0.865559 0.500807i \(-0.833036\pi\)
−0.188335 + 0.982105i \(0.560309\pi\)
\(38\) 7.35456 4.20135i 1.19307 0.681549i
\(39\) 2.16369 + 0.635317i 0.346468 + 0.101732i
\(40\) 0.0323299 2.35219i 0.00511181 0.371913i
\(41\) −2.34435 + 5.13341i −0.366126 + 0.801705i 0.633483 + 0.773756i \(0.281625\pi\)
−0.999609 + 0.0279481i \(0.991103\pi\)
\(42\) 1.04586 5.29577i 0.161380 0.817155i
\(43\) −0.890424 + 1.38553i −0.135788 + 0.211291i −0.902488 0.430715i \(-0.858261\pi\)
0.766699 + 0.642006i \(0.221898\pi\)
\(44\) 5.55951 3.88263i 0.838128 0.585329i
\(45\) 0.831702i 0.123983i
\(46\) −6.17229 2.81121i −0.910054 0.414490i
\(47\) −6.67219 −0.973239 −0.486619 0.873614i \(-0.661770\pi\)
−0.486619 + 0.873614i \(0.661770\pi\)
\(48\) −3.50017 + 1.93619i −0.505206 + 0.279465i
\(49\) 6.36787 + 4.09238i 0.909696 + 0.584626i
\(50\) 5.97737 + 1.18047i 0.845327 + 0.166944i
\(51\) −6.75683 3.08574i −0.946145 0.432090i
\(52\) 4.50674 0.173313i 0.624972 0.0240341i
\(53\) 2.73892 9.32791i 0.376220 1.28129i −0.526175 0.850376i \(-0.676374\pi\)
0.902395 0.430911i \(-0.141808\pi\)
\(54\) 1.22797 0.701489i 0.167106 0.0954605i
\(55\) −1.17144 2.56509i −0.157956 0.345876i
\(56\) −1.38944 10.7063i −0.185671 1.43069i
\(57\) −3.92209 + 4.52633i −0.519493 + 0.599527i
\(58\) 6.85245 7.12103i 0.899771 0.935038i
\(59\) 1.99171 + 6.78314i 0.259298 + 0.883089i 0.981509 + 0.191416i \(0.0613079\pi\)
−0.722211 + 0.691673i \(0.756874\pi\)
\(60\) 0.529621 + 1.57684i 0.0683738 + 0.203569i
\(61\) −2.08206 3.23975i −0.266581 0.414807i 0.681996 0.731356i \(-0.261112\pi\)
−0.948576 + 0.316549i \(0.897476\pi\)
\(62\) 3.05523 8.69838i 0.388015 1.10470i
\(63\) 0.543216 + 3.77815i 0.0684388 + 0.476002i
\(64\) −5.40308 + 5.89973i −0.675384 + 0.737466i
\(65\) 0.266914 1.85643i 0.0331066 0.230262i
\(66\) −2.79921 + 3.89306i −0.344558 + 0.479203i
\(67\) −0.672017 + 0.582306i −0.0820999 + 0.0711400i −0.694944 0.719064i \(-0.744571\pi\)
0.612844 + 0.790204i \(0.290025\pi\)
\(68\) −14.7754 1.54761i −1.79177 0.187676i
\(69\) 4.77659 + 0.429140i 0.575034 + 0.0516624i
\(70\) −4.48347 0.234165i −0.535877 0.0279881i
\(71\) −1.95680 2.25827i −0.232230 0.268007i 0.627660 0.778488i \(-0.284013\pi\)
−0.859889 + 0.510481i \(0.829468\pi\)
\(72\) 1.88143 2.11192i 0.221728 0.248893i
\(73\) 1.68986 11.7532i 0.197783 1.37561i −0.612917 0.790147i \(-0.710004\pi\)
0.810700 0.585462i \(-0.199087\pi\)
\(74\) 4.60750 8.83765i 0.535611 1.02736i
\(75\) −4.26442 + 0.613131i −0.492413 + 0.0707983i
\(76\) −4.55362 + 11.0791i −0.522336 + 1.27086i
\(77\) −6.99681 10.8872i −0.797360 1.24072i
\(78\) −2.96606 + 1.17169i −0.335840 + 0.132668i
\(79\) 5.10875 1.50006i 0.574779 0.168770i 0.0185914 0.999827i \(-0.494082\pi\)
0.556187 + 0.831057i \(0.312264\pi\)
\(80\) 2.00823 + 2.65229i 0.224527 + 0.296535i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −1.84603 7.76454i −0.203860 0.857449i
\(83\) 4.72400 2.15738i 0.518526 0.236803i −0.138921 0.990303i \(-0.544363\pi\)
0.657447 + 0.753500i \(0.271636\pi\)
\(84\) 3.43579 + 6.81714i 0.374875 + 0.743811i
\(85\) −1.74053 + 5.92771i −0.188787 + 0.642950i
\(86\) −0.210778 2.31962i −0.0227288 0.250131i
\(87\) −2.90293 + 6.35654i −0.311227 + 0.681492i
\(88\) −2.82799 + 9.16343i −0.301464 + 0.976825i
\(89\) 14.8089 + 9.51710i 1.56974 + 1.00881i 0.979466 + 0.201607i \(0.0646165\pi\)
0.590274 + 0.807203i \(0.299020\pi\)
\(90\) −0.722838 0.927881i −0.0761938 0.0978072i
\(91\) 8.60748i 0.902309i
\(92\) 9.32929 2.22808i 0.972646 0.232293i
\(93\) 6.51906i 0.675995i
\(94\) 7.44376 5.79885i 0.767766 0.598105i
\(95\) 4.19048 + 2.69305i 0.429934 + 0.276302i
\(96\) 2.22217 5.20211i 0.226800 0.530938i
\(97\) 7.16690 15.6933i 0.727689 1.59342i −0.0751161 0.997175i \(-0.523933\pi\)
0.802805 0.596242i \(-0.203340\pi\)
\(98\) −10.6610 + 0.968735i −1.07692 + 0.0978570i
\(99\) 0.955225 3.25320i 0.0960037 0.326959i
\(100\) −7.69454 + 3.87799i −0.769454 + 0.387799i
\(101\) 14.2756 6.51947i 1.42048 0.648712i 0.450696 0.892677i \(-0.351176\pi\)
0.969784 + 0.243966i \(0.0784484\pi\)
\(102\) 10.2200 2.42983i 1.01193 0.240589i
\(103\) 9.56910 11.0433i 0.942871 1.08813i −0.0531120 0.998589i \(-0.516914\pi\)
0.995983 0.0895426i \(-0.0285405\pi\)
\(104\) −4.87727 + 4.11019i −0.478256 + 0.403038i
\(105\) 3.04602 0.894391i 0.297261 0.0872836i
\(106\) 5.05130 + 12.7870i 0.490626 + 1.24198i
\(107\) −4.80748 7.48058i −0.464756 0.723175i 0.527202 0.849740i \(-0.323241\pi\)
−0.991958 + 0.126565i \(0.959605\pi\)
\(108\) −0.760306 + 1.84985i −0.0731605 + 0.178002i
\(109\) −17.1764 + 2.46959i −1.64520 + 0.236544i −0.901753 0.432252i \(-0.857719\pi\)
−0.743446 + 0.668796i \(0.766810\pi\)
\(110\) 3.53624 + 1.84361i 0.337167 + 0.175782i
\(111\) −1.00296 + 6.97572i −0.0951965 + 0.662106i
\(112\) 10.8551 + 10.7368i 1.02571 + 1.01454i
\(113\) 1.40284 + 1.61896i 0.131968 + 0.152299i 0.817887 0.575379i \(-0.195145\pi\)
−0.685920 + 0.727677i \(0.740600\pi\)
\(114\) 0.441774 8.45847i 0.0413759 0.792208i
\(115\) −0.212091 3.98306i −0.0197776 0.371422i
\(116\) −1.45593 + 13.9000i −0.135180 + 1.29058i
\(117\) 1.70424 1.47673i 0.157557 0.136524i
\(118\) −8.11730 5.83653i −0.747258 0.537296i
\(119\) −4.03506 + 28.0644i −0.369893 + 2.57266i
\(120\) −1.96131 1.29889i −0.179042 0.118572i
\(121\) 0.0705523 + 0.490702i 0.00641385 + 0.0446093i
\(122\) 5.13852 + 1.80486i 0.465220 + 0.163405i
\(123\) 3.05105 + 4.74753i 0.275104 + 0.428070i
\(124\) 4.15128 + 12.3596i 0.372796 + 1.10992i
\(125\) 2.18109 + 7.42812i 0.195083 + 0.664391i
\(126\) −3.88965 3.74294i −0.346518 0.333448i
\(127\) −4.73588 + 5.46550i −0.420241 + 0.484984i −0.925910 0.377743i \(-0.876700\pi\)
0.505669 + 0.862727i \(0.331246\pi\)
\(128\) 0.900395 11.2778i 0.0795844 0.996828i
\(129\) 0.684180 + 1.49815i 0.0602387 + 0.131904i
\(130\) 1.31565 + 2.30308i 0.115391 + 0.201994i
\(131\) −4.86383 + 16.5647i −0.424955 + 1.44726i 0.417589 + 0.908636i \(0.362875\pi\)
−0.842544 + 0.538628i \(0.818943\pi\)
\(132\) −0.260583 6.77607i −0.0226808 0.589781i
\(133\) 20.7949 + 9.49671i 1.80315 + 0.823469i
\(134\) 0.243643 1.23370i 0.0210475 0.106575i
\(135\) 0.699673 + 0.449652i 0.0602182 + 0.0386999i
\(136\) 17.8290 11.1148i 1.52883 0.953085i
\(137\) 0.262237 0.0224044 0.0112022 0.999937i \(-0.496434\pi\)
0.0112022 + 0.999937i \(0.496434\pi\)
\(138\) −5.70193 + 3.67260i −0.485380 + 0.312633i
\(139\) 8.64728i 0.733453i 0.930329 + 0.366727i \(0.119522\pi\)
−0.930329 + 0.366727i \(0.880478\pi\)
\(140\) 5.20545 3.63537i 0.439941 0.307245i
\(141\) −3.60726 + 5.61300i −0.303786 + 0.472700i
\(142\) 4.14576 + 0.818746i 0.347905 + 0.0687077i
\(143\) −3.17617 + 6.95485i −0.265605 + 0.581594i
\(144\) −0.263509 + 3.99131i −0.0219591 + 0.332609i
\(145\) 5.57654 + 1.63742i 0.463106 + 0.135980i
\(146\) 8.32953 + 14.5810i 0.689357 + 1.20673i
\(147\) 6.88546 3.14449i 0.567904 0.259353i
\(148\) 2.54056 + 13.8641i 0.208833 + 1.13962i
\(149\) −4.04268 3.50300i −0.331189 0.286977i 0.473353 0.880873i \(-0.343044\pi\)
−0.804542 + 0.593896i \(0.797589\pi\)
\(150\) 4.22468 4.39027i 0.344944 0.358464i
\(151\) 4.83500 1.41968i 0.393466 0.115532i −0.0790136 0.996874i \(-0.525177\pi\)
0.472480 + 0.881341i \(0.343359\pi\)
\(152\) −4.54872 16.3179i −0.368950 1.32355i
\(153\) −6.24891 + 4.01593i −0.505194 + 0.324669i
\(154\) 17.2681 + 6.06527i 1.39150 + 0.488754i
\(155\) 5.36673 0.771619i 0.431066 0.0619780i
\(156\) 2.29073 3.88501i 0.183405 0.311050i
\(157\) 8.36861 + 1.20322i 0.667888 + 0.0960278i 0.467915 0.883774i \(-0.345005\pi\)
0.199973 + 0.979801i \(0.435914\pi\)
\(158\) −4.39581 + 6.11358i −0.349712 + 0.486370i
\(159\) −6.36636 7.34718i −0.504886 0.582669i
\(160\) −4.54559 1.21364i −0.359361 0.0959463i
\(161\) −3.56495 17.9552i −0.280957 1.41507i
\(162\) 0.0737618 1.41229i 0.00579527 0.110960i
\(163\) −14.7262 + 12.7603i −1.15344 + 0.999464i −0.153506 + 0.988148i \(0.549057\pi\)
−0.999936 + 0.0113159i \(0.996398\pi\)
\(164\) 8.80772 + 7.05803i 0.687767 + 0.551139i
\(165\) −2.79122 0.401316i −0.217296 0.0312424i
\(166\) −3.39529 + 6.51252i −0.263526 + 0.505469i
\(167\) −1.76517 12.2771i −0.136593 0.950027i −0.936691 0.350157i \(-0.886128\pi\)
0.800098 0.599870i \(-0.204781\pi\)
\(168\) −9.75792 4.61941i −0.752840 0.356395i
\(169\) 6.65837 4.27907i 0.512182 0.329159i
\(170\) −3.21001 8.12590i −0.246196 0.623228i
\(171\) 1.68735 + 5.74659i 0.129035 + 0.439453i
\(172\) 2.25115 + 2.40468i 0.171649 + 0.183355i
\(173\) −2.44138 2.11547i −0.185615 0.160836i 0.557097 0.830447i \(-0.311915\pi\)
−0.742712 + 0.669612i \(0.766461\pi\)
\(174\) −2.28588 9.61457i −0.173292 0.728879i
\(175\) 6.83137 + 14.9586i 0.516403 + 1.13076i
\(176\) −4.80899 12.6809i −0.362491 0.955860i
\(177\) 6.78314 + 1.99171i 0.509852 + 0.149706i
\(178\) −24.7928 + 2.25286i −1.85830 + 0.168859i
\(179\) −6.52201 2.97850i −0.487478 0.222624i 0.156485 0.987680i \(-0.449984\pi\)
−0.643963 + 0.765057i \(0.722711\pi\)
\(180\) 1.61285 + 0.406957i 0.120215 + 0.0303328i
\(181\) 11.4807 17.8643i 0.853351 1.32784i −0.0899653 0.995945i \(-0.528676\pi\)
0.943316 0.331895i \(-0.107688\pi\)
\(182\) 7.48082 + 9.60285i 0.554515 + 0.711810i
\(183\) −3.85110 −0.284681
\(184\) −8.47169 + 10.5939i −0.624541 + 0.780992i
\(185\) 5.86138 0.430937
\(186\) −5.66576 7.27293i −0.415434 0.533277i
\(187\) 13.6162 21.1872i 0.995712 1.54936i
\(188\) −3.26474 + 12.9389i −0.238106 + 0.943663i
\(189\) 3.47207 + 1.58564i 0.252556 + 0.115338i
\(190\) −7.01562 + 0.637491i −0.508966 + 0.0462484i
\(191\) −17.5987 5.16744i −1.27340 0.373903i −0.425933 0.904755i \(-0.640054\pi\)
−0.847465 + 0.530852i \(0.821872\pi\)
\(192\) 2.04204 + 7.73499i 0.147372 + 0.558225i
\(193\) −6.63210 14.5223i −0.477389 1.04534i −0.983173 0.182676i \(-0.941524\pi\)
0.505784 0.862660i \(-0.331203\pi\)
\(194\) 5.64350 + 23.7369i 0.405179 + 1.70421i
\(195\) −1.41742 1.22820i −0.101504 0.0879535i
\(196\) 11.0519 10.3463i 0.789420 0.739020i
\(197\) 2.52274 + 8.59165i 0.179737 + 0.612130i 0.999237 + 0.0390501i \(0.0124332\pi\)
−0.819500 + 0.573079i \(0.805749\pi\)
\(198\) 1.76169 + 4.45959i 0.125198 + 0.316929i
\(199\) −3.10991 + 1.99861i −0.220455 + 0.141678i −0.646207 0.763162i \(-0.723646\pi\)
0.425752 + 0.904840i \(0.360010\pi\)
\(200\) 5.21395 11.0138i 0.368682 0.778795i
\(201\) 0.126547 + 0.880155i 0.00892595 + 0.0620813i
\(202\) −10.2604 + 19.6804i −0.721917 + 1.38471i
\(203\) 26.4018 + 3.79601i 1.85305 + 0.266428i
\(204\) −9.29009 + 11.5931i −0.650437 + 0.811680i
\(205\) 3.54721 3.07367i 0.247748 0.214675i
\(206\) −1.07784 + 20.6369i −0.0750965 + 1.43784i
\(207\) 2.94344 3.78632i 0.204583 0.263167i
\(208\) 1.86908 8.82437i 0.129598 0.611860i
\(209\) −13.2980 15.3467i −0.919841 1.06155i
\(210\) −2.62094 + 3.64513i −0.180862 + 0.251538i
\(211\) −12.4883 1.79554i −0.859729 0.123610i −0.301671 0.953412i \(-0.597544\pi\)
−0.558058 + 0.829802i \(0.688453\pi\)
\(212\) −16.7487 9.87558i −1.15031 0.678258i
\(213\) −2.95770 + 0.425254i −0.202659 + 0.0291379i
\(214\) 11.8648 + 4.16742i 0.811063 + 0.284879i
\(215\) 1.15235 0.740568i 0.0785894 0.0505063i
\(216\) −0.759487 2.72455i −0.0516766 0.185382i
\(217\) 23.8753 7.01043i 1.62076 0.475899i
\(218\) 17.0163 17.6833i 1.15249 1.19766i
\(219\) −8.97383 7.77587i −0.606395 0.525444i
\(220\) −5.54746 + 1.01656i −0.374010 + 0.0685365i
\(221\) 15.2369 6.95845i 1.02494 0.468076i
\(222\) −4.94371 8.65407i −0.331800 0.580823i
\(223\) −1.32004 0.387599i −0.0883966 0.0259556i 0.237235 0.971452i \(-0.423759\pi\)
−0.325632 + 0.945497i \(0.605577\pi\)
\(224\) −21.4418 2.54425i −1.43264 0.169995i
\(225\) −1.78972 + 3.91894i −0.119315 + 0.261263i
\(226\) −2.97211 0.586961i −0.197702 0.0390441i
\(227\) −2.54285 + 3.95675i −0.168775 + 0.262619i −0.915330 0.402705i \(-0.868070\pi\)
0.746555 + 0.665324i \(0.231706\pi\)
\(228\) 6.85846 + 9.82056i 0.454212 + 0.650382i
\(229\) 8.46102i 0.559120i −0.960128 0.279560i \(-0.909811\pi\)
0.960128 0.279560i \(-0.0901886\pi\)
\(230\) 3.69832 + 4.25933i 0.243860 + 0.280852i
\(231\) −12.9417 −0.851501
\(232\) −10.4563 16.7728i −0.686491 1.10119i
\(233\) −10.2996 6.61916i −0.674750 0.433635i 0.157885 0.987457i \(-0.449532\pi\)
−0.832635 + 0.553822i \(0.813169\pi\)
\(234\) −0.617881 + 3.12867i −0.0403922 + 0.204528i
\(235\) 5.04780 + 2.30525i 0.329282 + 0.150378i
\(236\) 14.1286 0.543332i 0.919691 0.0353679i
\(237\) 1.50006 5.10875i 0.0974396 0.331849i
\(238\) −19.8893 34.8167i −1.28923 2.25683i
\(239\) 0.296939 + 0.650205i 0.0192074 + 0.0420583i 0.918993 0.394275i \(-0.129004\pi\)
−0.899785 + 0.436333i \(0.856277\pi\)
\(240\) 3.31698 0.255496i 0.214110 0.0164922i
\(241\) −9.71895 + 11.2163i −0.626053 + 0.722503i −0.976845 0.213950i \(-0.931367\pi\)
0.350792 + 0.936453i \(0.385912\pi\)
\(242\) −0.505184 0.486130i −0.0324744 0.0312496i
\(243\) 0.281733 + 0.959493i 0.0180732 + 0.0615515i
\(244\) −7.30136 + 2.45235i −0.467421 + 0.156995i
\(245\) −3.40365 5.29618i −0.217451 0.338360i
\(246\) −7.52998 2.64484i −0.480094 0.168629i
\(247\) −1.92208 13.3684i −0.122299 0.850609i
\(248\) −15.3731 10.1809i −0.976195 0.646491i
\(249\) 0.739085 5.14045i 0.0468376 0.325763i
\(250\) −8.88914 6.39150i −0.562199 0.404234i
\(251\) 5.50873 4.77334i 0.347708 0.301291i −0.463444 0.886126i \(-0.653386\pi\)
0.811152 + 0.584836i \(0.198841\pi\)
\(252\) 7.59247 + 0.795257i 0.478281 + 0.0500965i
\(253\) −3.74503 + 15.8233i −0.235448 + 0.994803i
\(254\) 0.533437 10.2135i 0.0334708 0.640853i
\(255\) 4.04570 + 4.66899i 0.253352 + 0.292384i
\(256\) 8.79712 + 13.3645i 0.549820 + 0.835283i
\(257\) −3.61032 + 25.1103i −0.225206 + 1.56634i 0.492701 + 0.870199i \(0.336010\pi\)
−0.717906 + 0.696140i \(0.754899\pi\)
\(258\) −2.06535 1.07677i −0.128583 0.0670365i
\(259\) 26.6263 3.82829i 1.65448 0.237878i
\(260\) −3.46942 1.42597i −0.215164 0.0884348i
\(261\) 3.77802 + 5.87871i 0.233853 + 0.363883i
\(262\) −8.97020 22.7074i −0.554181 1.40287i
\(263\) 11.9550 3.51030i 0.737175 0.216454i 0.108472 0.994100i \(-0.465404\pi\)
0.628703 + 0.777645i \(0.283586\pi\)
\(264\) 6.17984 + 7.33318i 0.380343 + 0.451326i
\(265\) −5.29492 + 6.11066i −0.325264 + 0.375375i
\(266\) −31.4533 + 7.47807i −1.92852 + 0.458510i
\(267\) 16.0126 7.31270i 0.979955 0.447530i
\(268\) 0.800398 + 1.58812i 0.0488921 + 0.0970096i
\(269\) 2.34812 7.99696i 0.143167 0.487583i −0.856421 0.516278i \(-0.827317\pi\)
0.999588 + 0.0286950i \(0.00913517\pi\)
\(270\) −1.17138 + 0.106440i −0.0712878 + 0.00647774i
\(271\) 1.71209 3.74895i 0.104002 0.227732i −0.850476 0.526014i \(-0.823686\pi\)
0.954478 + 0.298281i \(0.0964134\pi\)
\(272\) −10.2308 + 27.8954i −0.620335 + 1.69141i
\(273\) −7.24107 4.65355i −0.438249 0.281646i
\(274\) −0.292563 + 0.227912i −0.0176743 + 0.0137687i
\(275\) 14.6074i 0.880857i
\(276\) 3.16941 9.05289i 0.190776 0.544920i
\(277\) 17.5330i 1.05346i 0.850034 + 0.526728i \(0.176581\pi\)
−0.850034 + 0.526728i \(0.823419\pi\)
\(278\) −7.51541 9.64726i −0.450745 0.578604i
\(279\) 5.48418 + 3.52447i 0.328329 + 0.211004i
\(280\) −2.64789 + 8.57985i −0.158241 + 0.512744i
\(281\) −9.36365 + 20.5035i −0.558588 + 1.22314i 0.394066 + 0.919082i \(0.371068\pi\)
−0.952654 + 0.304056i \(0.901659\pi\)
\(282\) −0.853898 9.39719i −0.0508489 0.559594i
\(283\) −0.270632 + 0.921689i −0.0160874 + 0.0547887i −0.967146 0.254223i \(-0.918180\pi\)
0.951058 + 0.309012i \(0.0999984\pi\)
\(284\) −5.33676 + 2.68969i −0.316678 + 0.159604i
\(285\) 4.53108 2.06928i 0.268398 0.122573i
\(286\) −2.50104 10.5195i −0.147890 0.622034i
\(287\) 14.1063 16.2795i 0.832666 0.960948i
\(288\) −3.17490 4.68188i −0.187082 0.275883i
\(289\) −36.6301 + 10.7556i −2.15471 + 0.632681i
\(290\) −7.64450 + 3.01984i −0.448901 + 0.177331i
\(291\) −9.32735 14.5136i −0.546779 0.850805i
\(292\) −21.9652 9.02793i −1.28542 0.528320i
\(293\) −6.44045 + 0.925997i −0.376255 + 0.0540973i −0.327848 0.944730i \(-0.606323\pi\)
−0.0484068 + 0.998828i \(0.515414\pi\)
\(294\) −4.94881 + 9.49232i −0.288620 + 0.553603i
\(295\) 0.836771 5.81987i 0.0487187 0.338846i
\(296\) −14.8837 13.2593i −0.865097 0.770680i
\(297\) −2.22033 2.56240i −0.128837 0.148685i
\(298\) 7.55466 + 0.394569i 0.437630 + 0.0228568i
\(299\) −7.78512 + 7.50674i −0.450225 + 0.434126i
\(300\) −0.897611 + 8.56966i −0.0518236 + 0.494770i
\(301\) 4.75104 4.11680i 0.273845 0.237288i
\(302\) −4.16026 + 5.78598i −0.239396 + 0.332946i
\(303\) 2.23347 15.5341i 0.128310 0.892413i
\(304\) 19.2567 + 14.2515i 1.10445 + 0.817382i
\(305\) 0.455830 + 3.17037i 0.0261007 + 0.181535i
\(306\) 3.48126 9.91130i 0.199010 0.566591i
\(307\) −15.4412 24.0269i −0.881275 1.37129i −0.928078 0.372386i \(-0.878540\pi\)
0.0468032 0.998904i \(-0.485097\pi\)
\(308\) −24.5364 + 8.24116i −1.39809 + 0.469584i
\(309\) −4.11679 14.0205i −0.234196 0.797599i
\(310\) −5.31672 + 5.52511i −0.301969 + 0.313805i
\(311\) −4.33322 + 5.00081i −0.245715 + 0.283570i −0.865188 0.501448i \(-0.832801\pi\)
0.619473 + 0.785018i \(0.287346\pi\)
\(312\) 0.820862 + 6.32516i 0.0464721 + 0.358092i
\(313\) −1.78234 3.90279i −0.100744 0.220599i 0.852548 0.522649i \(-0.175056\pi\)
−0.953292 + 0.302050i \(0.902329\pi\)
\(314\) −10.3821 + 5.93085i −0.585895 + 0.334697i
\(315\) 0.894391 3.04602i 0.0503932 0.171624i
\(316\) −0.409213 10.6410i −0.0230200 0.598602i
\(317\) 0.275172 + 0.125667i 0.0154552 + 0.00705816i 0.423128 0.906070i \(-0.360932\pi\)
−0.407672 + 0.913128i \(0.633659\pi\)
\(318\) 13.4881 + 2.66375i 0.756372 + 0.149376i
\(319\) −19.9320 12.8095i −1.11598 0.717195i
\(320\) 6.12602 2.59663i 0.342455 0.145156i
\(321\) −8.89218 −0.496313
\(322\) 19.5822 + 16.9332i 1.09127 + 0.943653i
\(323\) 44.4883i 2.47539i
\(324\) 1.14514 + 1.63971i 0.0636188 + 0.0910952i
\(325\) 5.25249 8.17303i 0.291356 0.453358i
\(326\) 5.33904 27.0345i 0.295702 1.49730i
\(327\) −7.20870 + 15.7849i −0.398642 + 0.872904i
\(328\) −15.9604 0.219370i −0.881267 0.0121127i
\(329\) 24.4361 + 7.17510i 1.34721 + 0.395576i
\(330\) 3.46278 1.97814i 0.190620 0.108893i
\(331\) 24.9427 11.3910i 1.37098 0.626103i 0.412416 0.910996i \(-0.364685\pi\)
0.958559 + 0.284892i \(0.0919579\pi\)
\(332\) −1.87215 10.2165i −0.102748 0.560703i
\(333\) 5.32611 + 4.61510i 0.291869 + 0.252906i
\(334\) 12.6394 + 12.1626i 0.691596 + 0.665511i
\(335\) 0.709597 0.208357i 0.0387694 0.0113837i
\(336\) 14.9011 3.32708i 0.812921 0.181507i
\(337\) 11.8272 7.60090i 0.644270 0.414047i −0.177298 0.984157i \(-0.556736\pi\)
0.821568 + 0.570110i \(0.193099\pi\)
\(338\) −3.70937 + 10.5607i −0.201763 + 0.574428i
\(339\) 2.12038 0.304865i 0.115163 0.0165580i
\(340\) 10.6435 + 6.27574i 0.577224 + 0.340350i
\(341\) −21.8781 3.14560i −1.18477 0.170344i
\(342\) −6.87688 4.94464i −0.371859 0.267375i
\(343\) −1.42354 1.64285i −0.0768639 0.0887056i
\(344\) −4.60140 0.726261i −0.248091 0.0391574i
\(345\) −3.46543 1.97498i −0.186572 0.106330i
\(346\) 4.56227 + 0.238281i 0.245269 + 0.0128100i
\(347\) −4.82294 + 4.17910i −0.258909 + 0.224346i −0.774637 0.632407i \(-0.782067\pi\)
0.515727 + 0.856753i \(0.327522\pi\)
\(348\) 10.9063 + 8.73973i 0.584640 + 0.468498i
\(349\) −19.4886 2.80204i −1.04320 0.149990i −0.400649 0.916232i \(-0.631215\pi\)
−0.642552 + 0.766242i \(0.722124\pi\)
\(350\) −20.6220 10.7512i −1.10229 0.574678i
\(351\) −0.320925 2.23208i −0.0171297 0.119140i
\(352\) 16.3862 + 9.96782i 0.873386 + 0.531286i
\(353\) −17.8735 + 11.4866i −0.951311 + 0.611371i −0.921581 0.388187i \(-0.873101\pi\)
−0.0297309 + 0.999558i \(0.509465\pi\)
\(354\) −9.29855 + 3.67324i −0.494212 + 0.195231i
\(355\) 0.700169 + 2.38456i 0.0371611 + 0.126559i
\(356\) 25.7019 24.0610i 1.36220 1.27523i
\(357\) 21.4278 + 18.5673i 1.13408 + 0.982685i
\(358\) 9.86486 2.34539i 0.521374 0.123958i
\(359\) 1.04838 + 2.29563i 0.0553315 + 0.121159i 0.935278 0.353913i \(-0.115149\pi\)
−0.879947 + 0.475072i \(0.842422\pi\)
\(360\) −2.15306 + 0.947726i −0.113476 + 0.0499495i
\(361\) 16.1871 + 4.75296i 0.851952 + 0.250156i
\(362\) 2.71766 + 29.9080i 0.142837 + 1.57193i
\(363\) 0.450948 + 0.205941i 0.0236687 + 0.0108091i
\(364\) −16.6918 4.21169i −0.874888 0.220753i
\(365\) −5.33920 + 8.30796i −0.279467 + 0.434859i
\(366\) 4.29644 3.34702i 0.224579 0.174951i
\(367\) −1.23586 −0.0645114 −0.0322557 0.999480i \(-0.510269\pi\)
−0.0322557 + 0.999480i \(0.510269\pi\)
\(368\) 0.244139 19.1818i 0.0127266 0.999919i
\(369\) 5.64340 0.293783
\(370\) −6.53919 + 5.09417i −0.339957 + 0.264833i
\(371\) −20.0620 + 31.2170i −1.04157 + 1.62071i
\(372\) 12.6419 + 3.18982i 0.655452 + 0.165384i
\(373\) −2.12963 0.972570i −0.110268 0.0503578i 0.359517 0.933138i \(-0.382941\pi\)
−0.469785 + 0.882781i \(0.655669\pi\)
\(374\) 3.22317 + 35.4711i 0.166666 + 1.83417i
\(375\) 7.42812 + 2.18109i 0.383586 + 0.112631i
\(376\) −7.60297 17.2725i −0.392093 0.890762i
\(377\) −6.54622 14.3342i −0.337147 0.738250i
\(378\) −5.25167 + 1.24859i −0.270117 + 0.0642207i
\(379\) 6.58892 + 5.70933i 0.338450 + 0.293268i 0.807458 0.589926i \(-0.200843\pi\)
−0.469008 + 0.883194i \(0.655388\pi\)
\(380\) 7.27286 6.80853i 0.373090 0.349270i
\(381\) 2.03746 + 6.93894i 0.104382 + 0.355493i
\(382\) 24.1249 9.53014i 1.23434 0.487605i
\(383\) 31.7682 20.4162i 1.62328 1.04322i 0.669458 0.742850i \(-0.266526\pi\)
0.953823 0.300370i \(-0.0971100\pi\)
\(384\) −9.00072 6.85471i −0.459316 0.349803i
\(385\) 1.53183 + 10.6541i 0.0780690 + 0.542982i
\(386\) 20.0204 + 10.4376i 1.01901 + 0.531261i
\(387\) 1.63022 + 0.234390i 0.0828685 + 0.0119147i
\(388\) −26.9260 21.5771i −1.36696 1.09541i
\(389\) −18.2951 + 15.8528i −0.927598 + 0.803769i −0.980840 0.194813i \(-0.937590\pi\)
0.0532420 + 0.998582i \(0.483045\pi\)
\(390\) 2.64877 + 0.138342i 0.134126 + 0.00700520i
\(391\) 28.9022 20.8260i 1.46165 1.05322i
\(392\) −3.33789 + 21.1480i −0.168589 + 1.06814i
\(393\) 11.3055 + 13.0473i 0.570288 + 0.658147i
\(394\) −10.2815 7.39266i −0.517976 0.372437i
\(395\) −4.38326 0.630218i −0.220546 0.0317097i
\(396\) −5.84127 3.44420i −0.293535 0.173078i
\(397\) 28.0372 4.03113i 1.40714 0.202317i 0.603470 0.797386i \(-0.293784\pi\)
0.803675 + 0.595069i \(0.202875\pi\)
\(398\) 1.73253 4.93258i 0.0868437 0.247248i
\(399\) 19.2317 12.3595i 0.962789 0.618747i
\(400\) 3.75529 + 16.8189i 0.187765 + 0.840947i
\(401\) 20.0199 5.87837i 0.999746 0.293552i 0.259394 0.965772i \(-0.416477\pi\)
0.740352 + 0.672220i \(0.234659\pi\)
\(402\) −0.906130 0.871953i −0.0451936 0.0434891i
\(403\) −11.1101 9.62692i −0.553431 0.479551i
\(404\) −5.65753 30.8737i −0.281473 1.53602i
\(405\) 0.756543 0.345502i 0.0375929 0.0171681i
\(406\) −32.7541 + 18.7110i −1.62556 + 0.928613i
\(407\) −22.9268 6.73190i −1.13644 0.333688i
\(408\) 0.288745 21.0078i 0.0142950 1.04004i
\(409\) −6.70333 + 14.6782i −0.331458 + 0.725792i −0.999837 0.0180283i \(-0.994261\pi\)
0.668379 + 0.743821i \(0.266988\pi\)
\(410\) −1.28606 + 6.51201i −0.0635138 + 0.321605i
\(411\) 0.141776 0.220608i 0.00699330 0.0108818i
\(412\) −16.7332 23.9602i −0.824387 1.18043i
\(413\) 26.9843i 1.32781i
\(414\) 0.00689642 + 6.78233i 0.000338941 + 0.333333i
\(415\) −4.31929 −0.212025
\(416\) 5.58409 + 11.4693i 0.273783 + 0.562326i
\(417\) 7.27456 + 4.67508i 0.356237 + 0.228939i
\(418\) 28.1737 + 5.56402i 1.37802 + 0.272145i
\(419\) 7.69258 + 3.51308i 0.375807 + 0.171625i 0.594359 0.804200i \(-0.297406\pi\)
−0.218552 + 0.975825i \(0.570133\pi\)
\(420\) −0.243987 6.34453i −0.0119054 0.309581i
\(421\) −9.50846 + 32.3828i −0.463414 + 1.57824i 0.314109 + 0.949387i \(0.398294\pi\)
−0.777522 + 0.628855i \(0.783524\pi\)
\(422\) 15.4930 8.85047i 0.754185 0.430834i
\(423\) 2.77173 + 6.06924i 0.134766 + 0.295096i
\(424\) 27.2685 3.53883i 1.32427 0.171861i
\(425\) −20.9570 + 24.1857i −1.01656 + 1.17318i
\(426\) 2.93014 3.04499i 0.141966 0.147530i
\(427\) 4.14137 + 14.1042i 0.200415 + 0.682551i
\(428\) −16.8588 + 5.66247i −0.814902 + 0.273706i
\(429\) 4.13362 + 6.43204i 0.199573 + 0.310542i
\(430\) −0.641971 + 1.82772i −0.0309586 + 0.0881405i
\(431\) 0.979740 + 6.81424i 0.0471924 + 0.328230i 0.999717 + 0.0237701i \(0.00756697\pi\)
−0.952525 + 0.304460i \(0.901524\pi\)
\(432\) 3.21524 + 2.37954i 0.154693 + 0.114486i
\(433\) −1.02133 + 7.10349i −0.0490819 + 0.341372i 0.950453 + 0.310869i \(0.100620\pi\)
−0.999535 + 0.0305030i \(0.990289\pi\)
\(434\) −20.5435 + 28.5713i −0.986117 + 1.37147i
\(435\) 4.39239 3.80603i 0.210599 0.182485i
\(436\) −3.61543 + 34.5172i −0.173148 + 1.65307i
\(437\) −9.54623 27.0904i −0.456658 1.29591i
\(438\) 16.7696 + 0.875853i 0.801284 + 0.0418499i
\(439\) 1.75095 + 2.02070i 0.0835682 + 0.0964428i 0.795994 0.605305i \(-0.206949\pi\)
−0.712426 + 0.701748i \(0.752403\pi\)
\(440\) 5.30547 5.95546i 0.252929 0.283915i
\(441\) 1.07725 7.49246i 0.0512978 0.356784i
\(442\) −10.9512 + 21.0056i −0.520898 + 0.999135i
\(443\) 20.5146 2.94956i 0.974678 0.140138i 0.363469 0.931606i \(-0.381592\pi\)
0.611210 + 0.791469i \(0.290683\pi\)
\(444\) 13.0367 + 5.35822i 0.618695 + 0.254290i
\(445\) −7.91539 12.3166i −0.375226 0.583863i
\(446\) 1.80956 0.714836i 0.0856850 0.0338485i
\(447\) −5.13255 + 1.50705i −0.242761 + 0.0712812i
\(448\) 26.1326 15.7968i 1.23465 0.746327i
\(449\) 13.0936 15.1108i 0.617925 0.713123i −0.357387 0.933957i \(-0.616332\pi\)
0.975312 + 0.220833i \(0.0708776\pi\)
\(450\) −1.40929 5.92759i −0.0664348 0.279429i
\(451\) −17.4050 + 7.94861i −0.819571 + 0.374286i
\(452\) 3.82593 1.92824i 0.179957 0.0906969i
\(453\) 1.41968 4.83500i 0.0667025 0.227168i
\(454\) −0.601934 6.62431i −0.0282502 0.310894i
\(455\) −2.97390 + 6.51193i −0.139418 + 0.305284i
\(456\) −16.1867 4.99548i −0.758011 0.233935i
\(457\) −22.5392 14.4851i −1.05434 0.677582i −0.105846 0.994382i \(-0.533755\pi\)
−0.948492 + 0.316800i \(0.897392\pi\)
\(458\) 7.35353 + 9.43945i 0.343608 + 0.441077i
\(459\) 7.42809i 0.346714i
\(460\) −7.82782 1.53765i −0.364974 0.0716931i
\(461\) 24.1988i 1.12705i −0.826099 0.563525i \(-0.809445\pi\)
0.826099 0.563525i \(-0.190555\pi\)
\(462\) 14.4383 11.2477i 0.671729 0.523291i
\(463\) 9.44766 + 6.07164i 0.439070 + 0.282173i 0.741442 0.671017i \(-0.234142\pi\)
−0.302372 + 0.953190i \(0.597779\pi\)
\(464\) 26.2428 + 9.62474i 1.21829 + 0.446817i
\(465\) 2.25235 4.93195i 0.104450 0.228714i
\(466\) 17.2434 1.56686i 0.798786 0.0725835i
\(467\) 5.40475 18.4069i 0.250102 0.851770i −0.734745 0.678344i \(-0.762698\pi\)
0.984847 0.173426i \(-0.0554837\pi\)
\(468\) −2.02982 4.02748i −0.0938284 0.186170i
\(469\) 3.08738 1.40996i 0.142562 0.0651059i
\(470\) −7.63504 + 1.81524i −0.352178 + 0.0837310i
\(471\) 5.53663 6.38961i 0.255115 0.294418i
\(472\) −15.2902 + 12.8854i −0.703787 + 0.593098i
\(473\) −5.35795 + 1.57324i −0.246359 + 0.0723375i
\(474\) 2.76652 + 7.00324i 0.127070 + 0.321669i
\(475\) 13.9502 + 21.7069i 0.640079 + 0.995982i
\(476\) 52.4488 + 21.5570i 2.40399 + 0.988063i
\(477\) −9.62275 + 1.38354i −0.440596 + 0.0633481i
\(478\) −0.896375 0.467324i −0.0409992 0.0213749i
\(479\) −0.371521 + 2.58399i −0.0169752 + 0.118065i −0.996547 0.0830288i \(-0.973541\pi\)
0.979572 + 0.201094i \(0.0644497\pi\)
\(480\) −3.47851 + 3.16786i −0.158771 + 0.144592i
\(481\) −10.4072 12.0106i −0.474528 0.547635i
\(482\) 1.09472 20.9601i 0.0498630 0.954708i
\(483\) −17.0322 6.70830i −0.774994 0.305238i
\(484\) 0.986102 + 0.103287i 0.0448228 + 0.00469487i
\(485\) −10.8441 + 9.39650i −0.492407 + 0.426673i
\(486\) −1.14821 0.825593i −0.0520841 0.0374497i
\(487\) 0.409020 2.84480i 0.0185345 0.128910i −0.978453 0.206468i \(-0.933803\pi\)
0.996988 + 0.0775578i \(0.0247122\pi\)
\(488\) 6.01434 9.08160i 0.272256 0.411105i
\(489\) 2.77308 + 19.2872i 0.125403 + 0.872196i
\(490\) 8.40019 + 2.95049i 0.379482 + 0.133290i
\(491\) 6.27959 + 9.77123i 0.283394 + 0.440970i 0.953543 0.301257i \(-0.0974062\pi\)
−0.670149 + 0.742227i \(0.733770\pi\)
\(492\) 10.6994 3.59367i 0.482366 0.162015i
\(493\) 14.6241 + 49.8051i 0.658636 + 2.24311i
\(494\) 13.7629 + 13.2438i 0.619222 + 0.595867i
\(495\) −1.84665 + 2.13115i −0.0830009 + 0.0957882i
\(496\) 25.9992 2.00263i 1.16740 0.0899208i
\(497\) 4.73808 + 10.3749i 0.212532 + 0.465380i
\(498\) 3.64305 + 6.37723i 0.163249 + 0.285771i
\(499\) 6.42345 21.8763i 0.287553 0.979316i −0.681367 0.731942i \(-0.738614\pi\)
0.968920 0.247374i \(-0.0795677\pi\)
\(500\) 15.4720 0.594996i 0.691928 0.0266090i
\(501\) −11.2824 5.15252i −0.504062 0.230197i
\(502\) −1.99722 + 10.1130i −0.0891401 + 0.451365i
\(503\) −18.0183 11.5797i −0.803397 0.516312i 0.0733256 0.997308i \(-0.476639\pi\)
−0.876723 + 0.480996i \(0.840275\pi\)
\(504\) −9.16163 + 5.71145i −0.408091 + 0.254408i
\(505\) −13.0526 −0.580835
\(506\) −9.57404 20.9079i −0.425618 0.929471i
\(507\) 7.91482i 0.351509i
\(508\) 8.28151 + 11.8582i 0.367433 + 0.526123i
\(509\) 6.40040 9.95922i 0.283693 0.441435i −0.669936 0.742419i \(-0.733679\pi\)
0.953629 + 0.300984i \(0.0973150\pi\)
\(510\) −8.57140 1.69277i −0.379548 0.0749569i
\(511\) −18.8280 + 41.2276i −0.832902 + 1.82380i
\(512\) −21.4296 7.26437i −0.947065 0.321043i
\(513\) 5.74659 + 1.68735i 0.253718 + 0.0744984i
\(514\) −17.7957 31.1518i −0.784936 1.37405i
\(515\) −11.0549 + 5.04861i −0.487138 + 0.222468i
\(516\) 3.24001 0.593725i 0.142633 0.0261373i
\(517\) −17.0968 14.8145i −0.751917 0.651539i
\(518\) −26.3782 + 27.4121i −1.15899 + 1.20442i
\(519\) −3.09955 + 0.910111i −0.136055 + 0.0399494i
\(520\) 5.10995 1.42443i 0.224086 0.0624655i
\(521\) 2.17658 1.39880i 0.0953578 0.0612827i −0.492093 0.870543i \(-0.663768\pi\)
0.587451 + 0.809260i \(0.300132\pi\)
\(522\) −9.32413 3.27502i −0.408106 0.143344i
\(523\) −11.1116 + 1.59760i −0.485874 + 0.0698582i −0.380899 0.924617i \(-0.624385\pi\)
−0.104975 + 0.994475i \(0.533476\pi\)
\(524\) 29.7427 + 17.5373i 1.29932 + 0.766119i
\(525\) 16.2773 + 2.34032i 0.710399 + 0.102140i
\(526\) −10.2866 + 14.3064i −0.448518 + 0.623788i
\(527\) 31.7111 + 36.5965i 1.38136 + 1.59417i
\(528\) −13.2678 2.81025i −0.577407 0.122300i
\(529\) −13.1307 + 18.8834i −0.570901 + 0.821019i
\(530\) 0.596406 11.4192i 0.0259062 0.496016i
\(531\) 5.34277 4.62954i 0.231857 0.200905i
\(532\) 28.5913 35.6791i 1.23959 1.54688i
\(533\) −12.5965 1.81111i −0.545616 0.0784477i
\(534\) −11.5088 + 22.0750i −0.498033 + 0.955279i
\(535\) 1.05251 + 7.32037i 0.0455040 + 0.316487i
\(536\) −2.27320 1.07613i −0.0981872 0.0464819i
\(537\) −6.03174 + 3.87637i −0.260289 + 0.167278i
\(538\) 4.33056 + 10.9625i 0.186704 + 0.472627i
\(539\) 7.23058 + 24.6251i 0.311443 + 1.06068i
\(540\) 1.21433 1.13680i 0.0522564 0.0489202i
\(541\) −3.73329 3.23491i −0.160507 0.139080i 0.570905 0.821016i \(-0.306593\pi\)
−0.731411 + 0.681937i \(0.761138\pi\)
\(542\) 1.34816 + 5.67046i 0.0579086 + 0.243567i
\(543\) −8.82146 19.3163i −0.378565 0.828942i
\(544\) −12.8302 40.0129i −0.550089 1.71554i
\(545\) 13.8479 + 4.06612i 0.593180 + 0.174173i
\(546\) 12.1229 1.10157i 0.518811 0.0471430i
\(547\) −31.4439 14.3599i −1.34444 0.613986i −0.392356 0.919814i \(-0.628340\pi\)
−0.952087 + 0.305827i \(0.901067\pi\)
\(548\) 0.128314 0.508536i 0.00548132 0.0217236i
\(549\) −2.08206 + 3.23975i −0.0888602 + 0.138269i
\(550\) 12.6954 + 16.2966i 0.541332 + 0.694887i
\(551\) 41.8527 1.78298
\(552\) 4.33200 + 12.8543i 0.184382 + 0.547117i
\(553\) −20.3233 −0.864236
\(554\) −15.2380 19.5605i −0.647402 0.831046i
\(555\) 3.16890 4.93091i 0.134512 0.209305i
\(556\) 16.7690 + 4.23117i 0.711164 + 0.179442i
\(557\) −29.6855 13.5569i −1.25782 0.574425i −0.328777 0.944408i \(-0.606637\pi\)
−0.929039 + 0.369982i \(0.879364\pi\)
\(558\) −9.18151 + 0.834300i −0.388685 + 0.0353187i
\(559\) −3.56355 1.04635i −0.150722 0.0442561i
\(560\) −4.50272 11.8733i −0.190275 0.501740i
\(561\) −10.4623 22.9093i −0.441719 0.967231i
\(562\) −7.37329 31.0126i −0.311024 1.30819i
\(563\) −17.2392 14.9379i −0.726546 0.629555i 0.210972 0.977492i \(-0.432337\pi\)
−0.937518 + 0.347937i \(0.886882\pi\)
\(564\) 9.11980 + 9.74175i 0.384013 + 0.410202i
\(565\) −0.501953 1.70949i −0.0211173 0.0719189i
\(566\) −0.499118 1.26348i −0.0209795 0.0531081i
\(567\) 3.21107 2.06363i 0.134852 0.0866642i
\(568\) 3.61628 7.63894i 0.151736 0.320523i
\(569\) −3.01328 20.9578i −0.126323 0.878596i −0.950159 0.311767i \(-0.899079\pi\)
0.823835 0.566829i \(-0.191830\pi\)
\(570\) −3.25664 + 6.24656i −0.136406 + 0.261640i
\(571\) −28.3459 4.07552i −1.18624 0.170555i −0.479184 0.877714i \(-0.659067\pi\)
−0.707055 + 0.707159i \(0.749976\pi\)
\(572\) 11.9329 + 9.56235i 0.498938 + 0.399822i
\(573\) −13.8617 + 12.0112i −0.579081 + 0.501777i
\(574\) −1.58889 + 30.4219i −0.0663191 + 1.26979i
\(575\) 7.57169 19.2244i 0.315761 0.801712i
\(576\) 7.61110 + 2.46398i 0.317129 + 0.102666i
\(577\) 6.65166 + 7.67643i 0.276912 + 0.319574i 0.877121 0.480270i \(-0.159461\pi\)
−0.600209 + 0.799844i \(0.704916\pi\)
\(578\) 31.5183 43.8348i 1.31099 1.82329i
\(579\) −15.8025 2.27206i −0.656729 0.0944234i
\(580\) 5.90395 10.0129i 0.245148 0.415765i
\(581\) −19.6211 + 2.82109i −0.814020 + 0.117038i
\(582\) 23.0199 + 8.08554i 0.954204 + 0.335156i
\(583\) 27.7292 17.8205i 1.14843 0.738050i
\(584\) 32.3515 9.01821i 1.33872 0.373176i
\(585\) −1.79955 + 0.528395i −0.0744021 + 0.0218464i
\(586\) 6.38043 6.63052i 0.263573 0.273904i
\(587\) 14.3191 + 12.4076i 0.591014 + 0.512116i 0.898231 0.439523i \(-0.144853\pi\)
−0.307218 + 0.951639i \(0.599398\pi\)
\(588\) −2.72875 14.8911i −0.112532 0.614097i
\(589\) 35.5156 16.2194i 1.46339 0.668310i
\(590\) 4.12456 + 7.22013i 0.169805 + 0.297248i
\(591\) 8.59165 + 2.52274i 0.353413 + 0.103771i
\(592\) 28.1286 + 1.85706i 1.15608 + 0.0763249i
\(593\) −9.35760 + 20.4903i −0.384271 + 0.841435i 0.614355 + 0.789029i \(0.289416\pi\)
−0.998626 + 0.0524056i \(0.983311\pi\)
\(594\) 4.70409 + 0.929010i 0.193011 + 0.0381177i
\(595\) 12.7490 19.8378i 0.522658 0.813272i
\(596\) −8.77121 + 6.12561i −0.359283 + 0.250915i
\(597\) 3.69675i 0.151298i
\(598\) 2.16122 15.1409i 0.0883791 0.619158i
\(599\) 28.4392 1.16199 0.580997 0.813906i \(-0.302663\pi\)
0.580997 + 0.813906i \(0.302663\pi\)
\(600\) −6.44654 10.3408i −0.263179 0.422161i
\(601\) 37.1777 + 23.8927i 1.51651 + 0.974602i 0.992414 + 0.122944i \(0.0392334\pi\)
0.524097 + 0.851659i \(0.324403\pi\)
\(602\) −1.72251 + 8.72203i −0.0702043 + 0.355483i
\(603\) 0.808850 + 0.369389i 0.0329389 + 0.0150427i
\(604\) −0.387285 10.0708i −0.0157584 0.409775i
\(605\) 0.116163 0.395613i 0.00472268 0.0160840i
\(606\) 11.0091 + 19.2716i 0.447213 + 0.782856i
\(607\) −3.34591 7.32651i −0.135806 0.297374i 0.829495 0.558515i \(-0.188629\pi\)
−0.965301 + 0.261141i \(0.915901\pi\)
\(608\) −33.8697 + 0.836535i −1.37360 + 0.0339260i
\(609\) 17.4673 20.1584i 0.707812 0.816858i
\(610\) −3.26393 3.14082i −0.132153 0.127168i
\(611\) −4.23896 14.4366i −0.171490 0.584041i
\(612\) 4.73015 + 14.0830i 0.191205 + 0.569273i
\(613\) −3.79315 5.90226i −0.153204 0.238390i 0.756164 0.654382i \(-0.227071\pi\)
−0.909369 + 0.415991i \(0.863435\pi\)
\(614\) 38.1088 + 13.3854i 1.53795 + 0.540190i
\(615\) −0.667973 4.64585i −0.0269353 0.187339i
\(616\) 20.2113 30.5189i 0.814336 1.22964i
\(617\) −1.50775 + 10.4866i −0.0606997 + 0.422176i 0.936702 + 0.350129i \(0.113862\pi\)
−0.997401 + 0.0720469i \(0.977047\pi\)
\(618\) 16.7782 + 12.0639i 0.674917 + 0.485282i
\(619\) −31.5068 + 27.3008i −1.26636 + 1.09731i −0.275663 + 0.961254i \(0.588898\pi\)
−0.990701 + 0.136057i \(0.956557\pi\)
\(620\) 1.12963 10.7848i 0.0453672 0.433129i
\(621\) −1.59391 4.52321i −0.0639614 0.181510i
\(622\) 0.488083 9.34514i 0.0195703 0.374706i
\(623\) −44.0015 50.7804i −1.76288 2.03447i
\(624\) −6.41303 6.34319i −0.256727 0.253931i
\(625\) −2.14932 + 14.9488i −0.0859727 + 0.597953i
\(626\) 5.38039 + 2.80506i 0.215044 + 0.112113i
\(627\) −20.0999 + 2.88993i −0.802713 + 0.115413i
\(628\) 6.42813 15.6398i 0.256511 0.624098i
\(629\) 28.3021 + 44.0389i 1.12848 + 1.75594i
\(630\) 1.64949 + 4.17558i 0.0657174 + 0.166359i
\(631\) 3.11870 0.915733i 0.124153 0.0364547i −0.219066 0.975710i \(-0.570301\pi\)
0.343219 + 0.939255i \(0.388483\pi\)
\(632\) 9.70468 + 11.5159i 0.386032 + 0.458076i
\(633\) −8.26218 + 9.53507i −0.328392 + 0.378985i
\(634\) −0.416211 + 0.0989550i −0.0165299 + 0.00393001i
\(635\) 5.47123 2.49863i 0.217119 0.0991551i
\(636\) −17.3629 + 8.75077i −0.688484 + 0.346991i
\(637\) −4.80903 + 16.3781i −0.190541 + 0.648923i
\(638\) 33.3698 3.03222i 1.32112 0.120047i
\(639\) −1.24131 + 2.71809i −0.0491054 + 0.107526i
\(640\) −4.57769 + 8.22107i −0.180949 + 0.324966i
\(641\) 3.34401 + 2.14907i 0.132081 + 0.0848831i 0.605013 0.796216i \(-0.293168\pi\)
−0.472932 + 0.881099i \(0.656804\pi\)
\(642\) 9.92047 7.72826i 0.391530 0.305010i
\(643\) 10.5695i 0.416821i −0.978041 0.208410i \(-0.933171\pi\)
0.978041 0.208410i \(-0.0668290\pi\)
\(644\) −36.5635 1.87238i −1.44080 0.0737821i
\(645\) 1.36980i 0.0539357i
\(646\) −38.6651 49.6329i −1.52126 1.95278i
\(647\) −12.0761 7.76084i −0.474760 0.305110i 0.281291 0.959623i \(-0.409237\pi\)
−0.756051 + 0.654513i \(0.772874\pi\)
\(648\) −2.70265 0.834082i −0.106170 0.0327658i
\(649\) −9.95725 + 21.8033i −0.390856 + 0.855856i
\(650\) 1.24335 + 13.6831i 0.0487682 + 0.536697i
\(651\) 7.01043 23.8753i 0.274760 0.935747i
\(652\) 17.5394 + 34.8010i 0.686897 + 1.36291i
\(653\) 17.3101 7.90526i 0.677397 0.309357i −0.0468455 0.998902i \(-0.514917\pi\)
0.724243 + 0.689545i \(0.242190\pi\)
\(654\) −5.67641 23.8753i −0.221965 0.933600i
\(655\) 9.40283 10.8514i 0.367399 0.424001i
\(656\) 17.9968 13.6266i 0.702655 0.532029i
\(657\) −11.3931 + 3.34531i −0.444487 + 0.130513i
\(658\) −33.4979 + 13.2328i −1.30588 + 0.515868i
\(659\) −2.64373 4.11372i −0.102985 0.160248i 0.785937 0.618307i \(-0.212181\pi\)
−0.888922 + 0.458059i \(0.848545\pi\)
\(660\) −2.14400 + 5.21642i −0.0834551 + 0.203049i
\(661\) −29.4921 + 4.24033i −1.14711 + 0.164930i −0.689543 0.724245i \(-0.742188\pi\)
−0.457568 + 0.889175i \(0.651279\pi\)
\(662\) −17.9271 + 34.3861i −0.696758 + 1.33645i
\(663\) 2.38386 16.5801i 0.0925814 0.643918i
\(664\) 10.9679 + 9.77084i 0.425636 + 0.379182i
\(665\) −12.4511 14.3693i −0.482833 0.557219i
\(666\) −9.95304 0.519833i −0.385672 0.0201431i
\(667\) −19.5922 27.1900i −0.758614 1.05280i
\(668\) −24.6716 2.58418i −0.954574 0.0999848i
\(669\) −1.03974 + 0.900938i −0.0401986 + 0.0348323i
\(670\) −0.610571 + 0.849167i −0.0235884 + 0.0328062i
\(671\) 1.85825 12.9244i 0.0717368 0.498941i
\(672\) −13.7327 + 16.6625i −0.529749 + 0.642769i
\(673\) 2.14696 + 14.9324i 0.0827592 + 0.575603i 0.988436 + 0.151635i \(0.0484540\pi\)
−0.905677 + 0.423968i \(0.860637\pi\)
\(674\) −6.58894 + 18.7590i −0.253796 + 0.722569i
\(675\) 2.32923 + 3.62435i 0.0896520 + 0.139501i
\(676\) −5.04009 15.0058i −0.193850 0.577147i
\(677\) −4.21888 14.3682i −0.162145 0.552214i −0.999980 0.00629112i \(-0.997997\pi\)
0.837836 0.545923i \(-0.183821\pi\)
\(678\) −2.10063 + 2.18296i −0.0806740 + 0.0838361i
\(679\) −43.1242 + 49.7680i −1.65495 + 1.90992i
\(680\) −17.3286 + 2.24886i −0.664521 + 0.0862397i
\(681\) 1.95386 + 4.27836i 0.0748721 + 0.163947i
\(682\) 27.1420 15.5051i 1.03932 0.593720i
\(683\) −2.40861 + 8.20297i −0.0921629 + 0.313878i −0.992653 0.120999i \(-0.961390\pi\)
0.900490 + 0.434877i \(0.143208\pi\)
\(684\) 11.9695 0.460305i 0.457667 0.0176002i
\(685\) −0.198394 0.0906034i −0.00758024 0.00346178i
\(686\) 3.01597 + 0.595624i 0.115150 + 0.0227410i
\(687\) −7.11786 4.57437i −0.271563 0.174523i
\(688\) 5.76471 3.18886i 0.219777 0.121574i
\(689\) 21.9228 0.835192
\(690\) 5.58264 0.808458i 0.212528 0.0307775i
\(691\) 6.72962i 0.256007i −0.991774 0.128003i \(-0.959143\pi\)
0.991774 0.128003i \(-0.0408568\pi\)
\(692\) −5.29694 + 3.69926i −0.201359 + 0.140625i
\(693\) −6.99681 + 10.8872i −0.265787 + 0.413572i
\(694\) 1.74858 8.85403i 0.0663752 0.336094i
\(695\) 2.98765 6.54204i 0.113328 0.248154i
\(696\) −19.7633 0.271639i −0.749125 0.0102964i
\(697\) 40.2216 + 11.8101i 1.52350 + 0.447341i
\(698\) 24.1775 13.8116i 0.915133 0.522777i
\(699\) −11.1368 + 5.08599i −0.421232 + 0.192370i
\(700\) 32.3507 5.92819i 1.22274 0.224065i
\(701\) −8.03903 6.96586i −0.303630 0.263097i 0.489697 0.871893i \(-0.337107\pi\)
−0.793327 + 0.608796i \(0.791653\pi\)
\(702\) 2.29796 + 2.21128i 0.0867307 + 0.0834595i
\(703\) 40.4988 11.8915i 1.52744 0.448497i
\(704\) −26.9442 + 3.12083i −1.01550 + 0.117621i
\(705\) 4.66835 3.00017i 0.175820 0.112993i
\(706\) 9.95732 28.3489i 0.374749 1.06693i
\(707\) −59.2938 + 8.52516i −2.22997 + 0.320622i
\(708\) 7.18139 12.1794i 0.269893 0.457732i
\(709\) −10.7071 1.53944i −0.402113 0.0578151i −0.0617083 0.998094i \(-0.519655\pi\)
−0.340404 + 0.940279i \(0.610564\pi\)
\(710\) −2.85357 2.05179i −0.107093 0.0770021i
\(711\) −3.48676 4.02393i −0.130764 0.150909i
\(712\) −7.76248 + 49.1810i −0.290911 + 1.84314i
\(713\) −27.1628 15.4803i −1.01725 0.579743i
\(714\) −40.0427 2.09137i −1.49856 0.0782676i
\(715\) 4.80582 4.16427i 0.179728 0.155735i
\(716\) −8.96724 + 11.1902i −0.335121 + 0.418198i
\(717\) 0.707525 + 0.101727i 0.0264230 + 0.00379905i
\(718\) −3.16477 1.64995i −0.118108 0.0615755i
\(719\) 0.202660 + 1.40953i 0.00755794 + 0.0525667i 0.993251 0.115981i \(-0.0370013\pi\)
−0.985693 + 0.168548i \(0.946092\pi\)
\(720\) 1.57836 2.92856i 0.0588220 0.109141i
\(721\) −46.9214 + 30.1546i −1.74745 + 1.12301i
\(722\) −22.1898 + 8.76572i −0.825818 + 0.326226i
\(723\) 4.18126 + 14.2401i 0.155503 + 0.529594i
\(724\) −29.0252 31.0046i −1.07871 1.15228i
\(725\) 22.7529 + 19.7155i 0.845020 + 0.732214i
\(726\) −0.682081 + 0.162166i −0.0253144 + 0.00601855i
\(727\) −18.1118 39.6593i −0.671729 1.47088i −0.871175 0.490972i \(-0.836642\pi\)
0.199446 0.979909i \(-0.436086\pi\)
\(728\) 22.2825 9.80823i 0.825843 0.363517i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −1.26388 13.9090i −0.0467782 0.514797i
\(731\) 11.1284 + 5.08215i 0.411597 + 0.187970i
\(732\) −1.88437 + 7.46813i −0.0696482 + 0.276030i
\(733\) −6.68055 + 10.3951i −0.246752 + 0.383953i −0.942432 0.334399i \(-0.891467\pi\)
0.695680 + 0.718352i \(0.255103\pi\)
\(734\) 1.37878 1.07409i 0.0508915 0.0396456i
\(735\) −6.29558 −0.232216
\(736\) 16.3986 + 21.6121i 0.604462 + 0.796634i
\(737\) −3.01489 −0.111055
\(738\) −6.29600 + 4.90471i −0.231759 + 0.180545i
\(739\) −26.1367 + 40.6695i −0.961455 + 1.49605i −0.0958075 + 0.995400i \(0.530543\pi\)
−0.865648 + 0.500654i \(0.833093\pi\)
\(740\) 2.86801 11.3665i 0.105430 0.417842i
\(741\) −12.2854 5.61053i −0.451314 0.206108i
\(742\) −4.74900 52.2630i −0.174341 1.91864i
\(743\) −14.3370 4.20973i −0.525974 0.154440i 0.00795634 0.999968i \(-0.497467\pi\)
−0.533930 + 0.845528i \(0.679286\pi\)
\(744\) −16.8761 + 7.42847i −0.618708 + 0.272341i
\(745\) 1.84817 + 4.04693i 0.0677117 + 0.148268i
\(746\) 3.22117 0.765839i 0.117935 0.0280394i
\(747\) −3.92484 3.40089i −0.143602 0.124432i
\(748\) −34.4241 36.7718i −1.25867 1.34451i
\(749\) 9.56242 + 32.5666i 0.349403 + 1.18996i
\(750\) −10.1827 + 4.02251i −0.371820 + 0.146881i
\(751\) −10.9686 + 7.04907i −0.400249 + 0.257224i −0.725245 0.688491i \(-0.758273\pi\)
0.324996 + 0.945715i \(0.394637\pi\)
\(752\) 23.4938 + 12.6621i 0.856732 + 0.461740i
\(753\) −1.03735 7.21490i −0.0378030 0.262926i
\(754\) 19.7612 + 10.3025i 0.719660 + 0.375194i
\(755\) −4.14839 0.596448i −0.150975 0.0217070i
\(756\) 4.77381 5.95724i 0.173622 0.216663i
\(757\) 25.0027 21.6650i 0.908738 0.787426i −0.0689212 0.997622i \(-0.521956\pi\)
0.977659 + 0.210196i \(0.0674102\pi\)
\(758\) −12.3129 0.643084i −0.447224 0.0233579i
\(759\) 11.2867 + 11.7052i 0.409681 + 0.424873i
\(760\) −2.19655 + 13.9168i −0.0796772 + 0.504814i
\(761\) −10.6057 12.2397i −0.384457 0.443687i 0.530228 0.847855i \(-0.322106\pi\)
−0.914685 + 0.404168i \(0.867561\pi\)
\(762\) −8.30375 5.97060i −0.300813 0.216292i
\(763\) 65.5623 + 9.42643i 2.37351 + 0.341260i
\(764\) −18.6320 + 31.5993i −0.674081 + 1.14322i
\(765\) 6.11508 0.879215i 0.221091 0.0317881i
\(766\) −17.6981 + 50.3871i −0.639457 + 1.82056i
\(767\) −13.4112 + 8.61888i −0.484252 + 0.311210i
\(768\) 15.9990 0.175194i 0.577316 0.00632177i
\(769\) −10.9513 + 3.21560i −0.394914 + 0.115957i −0.473159 0.880977i \(-0.656887\pi\)
0.0782450 + 0.996934i \(0.475068\pi\)
\(770\) −10.9685 10.5548i −0.395277 0.380368i
\(771\) 19.1723 + 16.6129i 0.690472 + 0.598298i
\(772\) −31.4070 + 5.75527i −1.13036 + 0.207137i
\(773\) 7.85729 3.58830i 0.282607 0.129062i −0.269069 0.963121i \(-0.586716\pi\)