Properties

Label 462.2.w.b.281.1
Level $462$
Weight $2$
Character 462.281
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 281.1
Character \(\chi\) \(=\) 462.281
Dual form 462.2.w.b.365.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(-1.71791 - 0.220849i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.826066 + 0.268405i) q^{5} +(0.320825 + 1.70208i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.90245 + 0.758798i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(-1.71791 - 0.220849i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.826066 + 0.268405i) q^{5} +(0.320825 + 1.70208i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.90245 + 0.758798i) q^{9} -0.868577i q^{10} +(2.10123 - 2.56609i) q^{11} +(1.51963 - 0.831094i) q^{12} +(-2.27068 + 0.737788i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(-1.35983 - 0.643532i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.798865 - 2.45865i) q^{17} +(-0.175247 - 2.99488i) q^{18} +(-0.826882 + 1.13811i) q^{19} +(-0.826066 + 0.268405i) q^{20} +(0.831094 + 1.51963i) q^{21} +(-3.08982 - 1.20542i) q^{22} -7.05910i q^{23} +(-1.26001 - 1.18843i) q^{24} +(-3.43474 - 2.49549i) q^{25} +(1.40336 + 1.93155i) q^{26} +(-4.81858 - 1.94455i) q^{27} +(0.951057 + 0.309017i) q^{28} +(2.21175 - 1.60693i) q^{29} +(-0.191824 + 1.49214i) q^{30} +(-2.56914 - 7.90699i) q^{31} -1.00000 q^{32} +(-4.17645 + 3.94427i) q^{33} -2.58518 q^{34} +(-0.268405 - 0.826066i) q^{35} +(-2.79414 + 1.09214i) q^{36} +(-7.66547 + 5.56929i) q^{37} +(1.33792 + 0.434718i) q^{38} +(4.06377 - 0.765980i) q^{39} +(0.510537 + 0.702694i) q^{40} +(1.38502 + 1.00627i) q^{41} +(1.18843 - 1.26001i) q^{42} -8.09566i q^{43} +(-0.191619 + 3.31108i) q^{44} +(2.19395 + 1.40585i) q^{45} +(-6.71360 + 2.18138i) q^{46} +(-4.32066 + 5.94688i) q^{47} +(-0.740904 + 1.56559i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-1.31195 + 4.03778i) q^{50} +(-1.91537 + 4.04733i) q^{51} +(1.40336 - 1.93155i) q^{52} +(11.0186 - 3.58016i) q^{53} +(-0.360355 + 5.18364i) q^{54} +(2.42451 - 1.55578i) q^{55} -1.00000i q^{56} +(1.67186 - 1.77255i) q^{57} +(-2.21175 - 1.60693i) q^{58} +(-4.55709 - 6.27229i) q^{59} +(1.47839 - 0.278661i) q^{60} +(10.7299 + 3.48636i) q^{61} +(-6.72609 + 4.88679i) q^{62} +(-1.09214 - 2.79414i) q^{63} +(0.309017 + 0.951057i) q^{64} -2.07376 q^{65} +(5.04182 + 2.75319i) q^{66} +3.25130 q^{67} +(0.798865 + 2.45865i) q^{68} +(-1.55899 + 12.1269i) q^{69} +(-0.702694 + 0.510537i) q^{70} +(-1.00580 - 0.326804i) q^{71} +(1.90212 + 2.31990i) q^{72} +(-8.20257 - 11.2899i) q^{73} +(7.66547 + 5.56929i) q^{74} +(5.34946 + 5.04559i) q^{75} -1.40678i q^{76} +(-3.31108 - 0.191619i) q^{77} +(-1.98426 - 3.62817i) q^{78} +(14.0381 - 4.56125i) q^{79} +(0.510537 - 0.702694i) q^{80} +(7.84845 + 4.40475i) q^{81} +(0.529029 - 1.62818i) q^{82} +(2.40880 - 7.41353i) q^{83} +(-1.56559 - 0.740904i) q^{84} +(1.31983 - 1.81659i) q^{85} +(-7.69943 + 2.50170i) q^{86} +(-4.15448 + 2.27210i) q^{87} +(3.20824 - 0.840941i) q^{88} +4.36036i q^{89} +(0.659074 - 2.52100i) q^{90} +(1.93155 + 1.40336i) q^{91} +(4.14923 + 5.71093i) q^{92} +(2.66731 + 14.1509i) q^{93} +(6.99098 + 2.27151i) q^{94} +(-0.988533 + 0.718211i) q^{95} +(1.71791 + 0.220849i) q^{96} +(3.57219 + 10.9941i) q^{97} +1.00000 q^{98} +(8.04586 - 5.85355i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + 8q^{11} + 6q^{12} - 24q^{15} - 12q^{16} + 24q^{17} + 10q^{18} + 30q^{19} - 8q^{22} - 6q^{24} + 18q^{25} + 20q^{26} + 38q^{27} - 8q^{29} - 36q^{30} - 32q^{31} - 48q^{32} + 24q^{33} - 4q^{34} - 6q^{35} - 20q^{37} - 20q^{38} - 34q^{39} - 22q^{44} + 12q^{45} + 20q^{46} - 20q^{47} - 4q^{48} + 12q^{49} - 28q^{50} + 2q^{51} + 20q^{52} - 20q^{53} - 18q^{54} + 16q^{55} + 12q^{57} + 8q^{58} - 30q^{59} - 4q^{60} - 20q^{61} - 8q^{62} - 4q^{63} - 12q^{64} + 46q^{66} + 36q^{67} + 24q^{68} + 30q^{69} - 4q^{70} - 10q^{72} - 20q^{73} + 20q^{74} + 40q^{75} + 16q^{77} - 16q^{78} - 20q^{79} - 54q^{81} - 10q^{82} + 46q^{83} - 10q^{84} + 10q^{85} + 30q^{86} - 8q^{87} - 8q^{88} - 62q^{90} - 36q^{91} - 10q^{92} + 44q^{93} - 50q^{95} + 4q^{96} - 2q^{97} + 48q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{9}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) −1.71791 0.220849i −0.991838 0.127507i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.826066 + 0.268405i 0.369428 + 0.120034i 0.487847 0.872929i \(-0.337783\pi\)
−0.118419 + 0.992964i \(0.537783\pi\)
\(6\) 0.320825 + 1.70208i 0.130976 + 0.694871i
\(7\) −0.587785 0.809017i −0.222162 0.305780i
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) 2.90245 + 0.758798i 0.967484 + 0.252933i
\(10\) 0.868577i 0.274668i
\(11\) 2.10123 2.56609i 0.633545 0.773706i
\(12\) 1.51963 0.831094i 0.438680 0.239916i
\(13\) −2.27068 + 0.737788i −0.629773 + 0.204626i −0.606475 0.795103i \(-0.707417\pi\)
−0.0232985 + 0.999729i \(0.507417\pi\)
\(14\) −0.587785 + 0.809017i −0.157092 + 0.216219i
\(15\) −1.35983 0.643532i −0.351107 0.166159i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.798865 2.45865i 0.193753 0.596311i −0.806236 0.591595i \(-0.798499\pi\)
0.999989 0.00471671i \(-0.00150138\pi\)
\(18\) −0.175247 2.99488i −0.0413062 0.705899i
\(19\) −0.826882 + 1.13811i −0.189700 + 0.261099i −0.893264 0.449532i \(-0.851591\pi\)
0.703564 + 0.710632i \(0.251591\pi\)
\(20\) −0.826066 + 0.268405i −0.184714 + 0.0600172i
\(21\) 0.831094 + 1.51963i 0.181360 + 0.331611i
\(22\) −3.08982 1.20542i −0.658751 0.256997i
\(23\) 7.05910i 1.47192i −0.677023 0.735962i \(-0.736730\pi\)
0.677023 0.735962i \(-0.263270\pi\)
\(24\) −1.26001 1.18843i −0.257198 0.242588i
\(25\) −3.43474 2.49549i −0.686948 0.499097i
\(26\) 1.40336 + 1.93155i 0.275221 + 0.378809i
\(27\) −4.81858 1.94455i −0.927336 0.374229i
\(28\) 0.951057 + 0.309017i 0.179733 + 0.0583987i
\(29\) 2.21175 1.60693i 0.410711 0.298399i −0.363178 0.931720i \(-0.618308\pi\)
0.773890 + 0.633320i \(0.218308\pi\)
\(30\) −0.191824 + 1.49214i −0.0350221 + 0.272426i
\(31\) −2.56914 7.90699i −0.461431 1.42014i −0.863417 0.504492i \(-0.831680\pi\)
0.401986 0.915646i \(-0.368320\pi\)
\(32\) −1.00000 −0.176777
\(33\) −4.17645 + 3.94427i −0.727026 + 0.686609i
\(34\) −2.58518 −0.443355
\(35\) −0.268405 0.826066i −0.0453687 0.139631i
\(36\) −2.79414 + 1.09214i −0.465690 + 0.182023i
\(37\) −7.66547 + 5.56929i −1.26020 + 0.915586i −0.998767 0.0496366i \(-0.984194\pi\)
−0.261429 + 0.965223i \(0.584194\pi\)
\(38\) 1.33792 + 0.434718i 0.217040 + 0.0705205i
\(39\) 4.06377 0.765980i 0.650724 0.122655i
\(40\) 0.510537 + 0.702694i 0.0807230 + 0.111106i
\(41\) 1.38502 + 1.00627i 0.216303 + 0.157154i 0.690661 0.723179i \(-0.257320\pi\)
−0.474358 + 0.880332i \(0.657320\pi\)
\(42\) 1.18843 1.26001i 0.183379 0.194424i
\(43\) 8.09566i 1.23458i −0.786737 0.617289i \(-0.788231\pi\)
0.786737 0.617289i \(-0.211769\pi\)
\(44\) −0.191619 + 3.31108i −0.0288876 + 0.499165i
\(45\) 2.19395 + 1.40585i 0.327055 + 0.209572i
\(46\) −6.71360 + 2.18138i −0.989866 + 0.321627i
\(47\) −4.32066 + 5.94688i −0.630234 + 0.867442i −0.998048 0.0624572i \(-0.980106\pi\)
0.367814 + 0.929899i \(0.380106\pi\)
\(48\) −0.740904 + 1.56559i −0.106940 + 0.225973i
\(49\) −0.309017 + 0.951057i −0.0441453 + 0.135865i
\(50\) −1.31195 + 4.03778i −0.185538 + 0.571028i
\(51\) −1.91537 + 4.04733i −0.268206 + 0.566739i
\(52\) 1.40336 1.93155i 0.194611 0.267858i
\(53\) 11.0186 3.58016i 1.51352 0.491773i 0.569593 0.821927i \(-0.307101\pi\)
0.943927 + 0.330154i \(0.107101\pi\)
\(54\) −0.360355 + 5.18364i −0.0490381 + 0.705404i
\(55\) 2.42451 1.55578i 0.326920 0.209782i
\(56\) 1.00000i 0.133631i
\(57\) 1.67186 1.77255i 0.221443 0.234780i
\(58\) −2.21175 1.60693i −0.290417 0.211000i
\(59\) −4.55709 6.27229i −0.593282 0.816583i 0.401790 0.915732i \(-0.368388\pi\)
−0.995073 + 0.0991487i \(0.968388\pi\)
\(60\) 1.47839 0.278661i 0.190859 0.0359750i
\(61\) 10.7299 + 3.48636i 1.37382 + 0.446383i 0.900634 0.434578i \(-0.143102\pi\)
0.473190 + 0.880960i \(0.343102\pi\)
\(62\) −6.72609 + 4.88679i −0.854214 + 0.620623i
\(63\) −1.09214 2.79414i −0.137596 0.352029i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −2.07376 −0.257218
\(66\) 5.04182 + 2.75319i 0.620605 + 0.338894i
\(67\) 3.25130 0.397209 0.198605 0.980080i \(-0.436359\pi\)
0.198605 + 0.980080i \(0.436359\pi\)
\(68\) 0.798865 + 2.45865i 0.0968766 + 0.298156i
\(69\) −1.55899 + 12.1269i −0.187681 + 1.45991i
\(70\) −0.702694 + 0.510537i −0.0839880 + 0.0610208i
\(71\) −1.00580 0.326804i −0.119367 0.0387845i 0.248725 0.968574i \(-0.419989\pi\)
−0.368091 + 0.929790i \(0.619989\pi\)
\(72\) 1.90212 + 2.31990i 0.224167 + 0.273403i
\(73\) −8.20257 11.2899i −0.960038 1.32138i −0.946921 0.321465i \(-0.895825\pi\)
−0.0131169 0.999914i \(-0.504175\pi\)
\(74\) 7.66547 + 5.56929i 0.891093 + 0.647417i
\(75\) 5.34946 + 5.04559i 0.617703 + 0.582614i
\(76\) 1.40678i 0.161368i
\(77\) −3.31108 0.191619i −0.377333 0.0218370i
\(78\) −1.98426 3.62817i −0.224674 0.410810i
\(79\) 14.0381 4.56125i 1.57941 0.513181i 0.617504 0.786568i \(-0.288144\pi\)
0.961904 + 0.273387i \(0.0881441\pi\)
\(80\) 0.510537 0.702694i 0.0570798 0.0785635i
\(81\) 7.84845 + 4.40475i 0.872050 + 0.489416i
\(82\) 0.529029 1.62818i 0.0584215 0.179803i
\(83\) 2.40880 7.41353i 0.264400 0.813740i −0.727431 0.686181i \(-0.759286\pi\)
0.991831 0.127559i \(-0.0407142\pi\)
\(84\) −1.56559 0.740904i −0.170819 0.0808393i
\(85\) 1.31983 1.81659i 0.143156 0.197037i
\(86\) −7.69943 + 2.50170i −0.830251 + 0.269765i
\(87\) −4.15448 + 2.27210i −0.445407 + 0.243595i
\(88\) 3.20824 0.840941i 0.342000 0.0896446i
\(89\) 4.36036i 0.462197i 0.972930 + 0.231099i \(0.0742320\pi\)
−0.972930 + 0.231099i \(0.925768\pi\)
\(90\) 0.659074 2.52100i 0.0694725 0.265737i
\(91\) 1.93155 + 1.40336i 0.202482 + 0.147112i
\(92\) 4.14923 + 5.71093i 0.432587 + 0.595406i
\(93\) 2.66731 + 14.1509i 0.276587 + 1.46738i
\(94\) 6.99098 + 2.27151i 0.721065 + 0.234288i
\(95\) −0.988533 + 0.718211i −0.101421 + 0.0736869i
\(96\) 1.71791 + 0.220849i 0.175334 + 0.0225403i
\(97\) 3.57219 + 10.9941i 0.362701 + 1.11628i 0.951408 + 0.307933i \(0.0996374\pi\)
−0.588707 + 0.808347i \(0.700363\pi\)
\(98\) 1.00000 0.101015
\(99\) 8.04586 5.85355i 0.808640 0.588304i
\(100\) 4.24557 0.424557
\(101\) 3.86333 + 11.8901i 0.384416 + 1.18311i 0.936903 + 0.349589i \(0.113679\pi\)
−0.552488 + 0.833521i \(0.686321\pi\)
\(102\) 4.44112 + 0.570934i 0.439736 + 0.0565309i
\(103\) −7.10827 + 5.16446i −0.700398 + 0.508869i −0.880062 0.474859i \(-0.842499\pi\)
0.179664 + 0.983728i \(0.442499\pi\)
\(104\) −2.27068 0.737788i −0.222658 0.0723461i
\(105\) 0.278661 + 1.47839i 0.0271945 + 0.144276i
\(106\) −6.80987 9.37298i −0.661433 0.910384i
\(107\) 5.70103 + 4.14204i 0.551140 + 0.400426i 0.828205 0.560425i \(-0.189362\pi\)
−0.277066 + 0.960851i \(0.589362\pi\)
\(108\) 5.04129 1.25912i 0.485099 0.121158i
\(109\) 1.36825i 0.131055i 0.997851 + 0.0655274i \(0.0208730\pi\)
−0.997851 + 0.0655274i \(0.979127\pi\)
\(110\) −2.22885 1.82508i −0.212512 0.174015i
\(111\) 14.3986 7.87465i 1.36665 0.747429i
\(112\) −0.951057 + 0.309017i −0.0898664 + 0.0291994i
\(113\) 3.06929 4.22452i 0.288735 0.397409i −0.639868 0.768485i \(-0.721011\pi\)
0.928603 + 0.371076i \(0.121011\pi\)
\(114\) −2.20243 1.04229i −0.206276 0.0976190i
\(115\) 1.89470 5.83128i 0.176681 0.543770i
\(116\) −0.844812 + 2.60007i −0.0784389 + 0.241410i
\(117\) −7.15037 + 0.418409i −0.661052 + 0.0386819i
\(118\) −4.55709 + 6.27229i −0.419514 + 0.577411i
\(119\) −2.45865 + 0.798865i −0.225384 + 0.0732319i
\(120\) −0.721869 1.31992i −0.0658973 0.120491i
\(121\) −2.16967 10.7839i −0.197242 0.980355i
\(122\) 11.2821i 1.02143i
\(123\) −2.15710 2.03457i −0.194500 0.183451i
\(124\) 6.72609 + 4.88679i 0.604021 + 0.438847i
\(125\) −4.72021 6.49681i −0.422188 0.581092i
\(126\) −2.31990 + 1.90212i −0.206673 + 0.169455i
\(127\) −3.23727 1.05185i −0.287262 0.0933370i 0.161842 0.986817i \(-0.448257\pi\)
−0.449104 + 0.893480i \(0.648257\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) −1.78792 + 13.9076i −0.157417 + 1.22450i
\(130\) 0.640826 + 1.97226i 0.0562042 + 0.172979i
\(131\) −2.32126 −0.202809 −0.101405 0.994845i \(-0.532334\pi\)
−0.101405 + 0.994845i \(0.532334\pi\)
\(132\) 1.06043 5.64584i 0.0922989 0.491407i
\(133\) 1.40678 0.121983
\(134\) −1.00471 3.09217i −0.0867934 0.267123i
\(135\) −3.45854 2.89966i −0.297664 0.249563i
\(136\) 2.09146 1.51953i 0.179341 0.130299i
\(137\) −11.5111 3.74017i −0.983456 0.319544i −0.227220 0.973843i \(-0.572964\pi\)
−0.756236 + 0.654299i \(0.772964\pi\)
\(138\) 12.0151 2.26473i 1.02280 0.192787i
\(139\) 7.37130 + 10.1457i 0.625225 + 0.860549i 0.997720 0.0674855i \(-0.0214976\pi\)
−0.372495 + 0.928034i \(0.621498\pi\)
\(140\) 0.702694 + 0.510537i 0.0593885 + 0.0431482i
\(141\) 8.73589 9.26202i 0.735694 0.780003i
\(142\) 1.05756i 0.0887486i
\(143\) −2.87798 + 7.37704i −0.240669 + 0.616899i
\(144\) 1.61857 2.52591i 0.134881 0.210493i
\(145\) 2.25836 0.733785i 0.187546 0.0609375i
\(146\) −8.20257 + 11.2899i −0.678850 + 0.934356i
\(147\) 0.740904 1.56559i 0.0611087 0.129127i
\(148\) 2.92795 9.01131i 0.240676 0.740725i
\(149\) 4.39186 13.5168i 0.359795 1.10734i −0.593381 0.804921i \(-0.702207\pi\)
0.953177 0.302414i \(-0.0977926\pi\)
\(150\) 3.14556 6.64681i 0.256834 0.542710i
\(151\) −5.02618 + 6.91794i −0.409025 + 0.562974i −0.962980 0.269572i \(-0.913118\pi\)
0.553956 + 0.832546i \(0.313118\pi\)
\(152\) −1.33792 + 0.434718i −0.108520 + 0.0352603i
\(153\) 4.18429 6.52995i 0.338280 0.527915i
\(154\) 0.840941 + 3.20824i 0.0677650 + 0.258528i
\(155\) 7.22126i 0.580026i
\(156\) −2.83743 + 3.00831i −0.227176 + 0.240858i
\(157\) −7.23521 5.25669i −0.577433 0.419529i 0.260365 0.965510i \(-0.416157\pi\)
−0.837798 + 0.545981i \(0.816157\pi\)
\(158\) −8.67601 11.9415i −0.690226 0.950015i
\(159\) −19.7197 + 3.71696i −1.56387 + 0.294774i
\(160\) −0.826066 0.268405i −0.0653062 0.0212193i
\(161\) −5.71093 + 4.14923i −0.450084 + 0.327005i
\(162\) 1.76386 8.82546i 0.138582 0.693394i
\(163\) 3.78357 + 11.6446i 0.296352 + 0.912077i 0.982764 + 0.184864i \(0.0591846\pi\)
−0.686412 + 0.727213i \(0.740815\pi\)
\(164\) −1.71197 −0.133683
\(165\) −4.50868 + 2.13725i −0.351001 + 0.166385i
\(166\) −7.79504 −0.605013
\(167\) 4.04296 + 12.4429i 0.312853 + 0.962864i 0.976629 + 0.214932i \(0.0689530\pi\)
−0.663776 + 0.747932i \(0.731047\pi\)
\(168\) −0.220849 + 1.71791i −0.0170388 + 0.132540i
\(169\) −5.90557 + 4.29065i −0.454275 + 0.330050i
\(170\) −2.13553 0.693876i −0.163788 0.0532179i
\(171\) −3.26358 + 2.67586i −0.249572 + 0.204628i
\(172\) 4.75851 + 6.54953i 0.362833 + 0.499397i
\(173\) 13.9724 + 10.1516i 1.06230 + 0.771809i 0.974513 0.224330i \(-0.0720194\pi\)
0.0877903 + 0.996139i \(0.472019\pi\)
\(174\) 3.44470 + 3.24903i 0.261142 + 0.246308i
\(175\) 4.24557i 0.320935i
\(176\) −1.79118 2.79135i −0.135016 0.210406i
\(177\) 6.44345 + 11.7817i 0.484320 + 0.885565i
\(178\) 4.14695 1.34743i 0.310827 0.100994i
\(179\) −1.60174 + 2.20460i −0.119719 + 0.164780i −0.864670 0.502339i \(-0.832473\pi\)
0.744951 + 0.667119i \(0.232473\pi\)
\(180\) −2.60128 + 0.152216i −0.193888 + 0.0113455i
\(181\) −5.32872 + 16.4001i −0.396081 + 1.21901i 0.532036 + 0.846722i \(0.321427\pi\)
−0.928117 + 0.372289i \(0.878573\pi\)
\(182\) 0.737788 2.27068i 0.0546885 0.168314i
\(183\) −17.6631 8.35895i −1.30569 0.617911i
\(184\) 4.14923 5.71093i 0.305886 0.421015i
\(185\) −7.82701 + 2.54315i −0.575454 + 0.186976i
\(186\) 12.6341 6.90963i 0.926375 0.506639i
\(187\) −4.63054 7.21616i −0.338618 0.527698i
\(188\) 7.35075i 0.536109i
\(189\) 1.25912 + 5.04129i 0.0915872 + 0.366700i
\(190\) 0.988533 + 0.718211i 0.0717157 + 0.0521045i
\(191\) −5.57837 7.67797i −0.403637 0.555559i 0.558015 0.829831i \(-0.311563\pi\)
−0.961652 + 0.274272i \(0.911563\pi\)
\(192\) −0.320825 1.70208i −0.0231535 0.122837i
\(193\) −0.857425 0.278594i −0.0617188 0.0200537i 0.277995 0.960583i \(-0.410330\pi\)
−0.339714 + 0.940529i \(0.610330\pi\)
\(194\) 9.35213 6.79472i 0.671444 0.487832i
\(195\) 3.56253 + 0.457986i 0.255118 + 0.0327971i
\(196\) −0.309017 0.951057i −0.0220726 0.0679326i
\(197\) 16.1154 1.14818 0.574088 0.818794i \(-0.305357\pi\)
0.574088 + 0.818794i \(0.305357\pi\)
\(198\) −8.05337 5.84322i −0.572328 0.415260i
\(199\) −2.39529 −0.169798 −0.0848989 0.996390i \(-0.527057\pi\)
−0.0848989 + 0.996390i \(0.527057\pi\)
\(200\) −1.31195 4.03778i −0.0927692 0.285514i
\(201\) −5.58545 0.718045i −0.393967 0.0506470i
\(202\) 10.1143 7.34849i 0.711642 0.517038i
\(203\) −2.60007 0.844812i −0.182489 0.0592942i
\(204\) −0.829391 4.40018i −0.0580690 0.308074i
\(205\) 0.874026 + 1.20299i 0.0610446 + 0.0840207i
\(206\) 7.10827 + 5.16446i 0.495256 + 0.359825i
\(207\) 5.35643 20.4887i 0.372297 1.42406i
\(208\) 2.38753i 0.165546i
\(209\) 1.18302 + 4.51328i 0.0818309 + 0.312190i
\(210\) 1.31992 0.721869i 0.0910830 0.0498137i
\(211\) −1.10512 + 0.359075i −0.0760796 + 0.0247197i −0.346809 0.937936i \(-0.612735\pi\)
0.270730 + 0.962655i \(0.412735\pi\)
\(212\) −6.80987 + 9.37298i −0.467703 + 0.643739i
\(213\) 1.65570 + 0.783551i 0.113447 + 0.0536880i
\(214\) 2.17760 6.70196i 0.148858 0.458137i
\(215\) 2.17292 6.68755i 0.148192 0.456087i
\(216\) −2.75533 4.40547i −0.187477 0.299754i
\(217\) −4.88679 + 6.72609i −0.331737 + 0.456597i
\(218\) 1.30129 0.422813i 0.0881342 0.0286365i
\(219\) 11.5980 + 21.2065i 0.783717 + 1.43301i
\(220\) −1.04700 + 2.68374i −0.0705889 + 0.180938i
\(221\) 6.17221i 0.415188i
\(222\) −11.9386 11.2605i −0.801270 0.755753i
\(223\) −16.3441 11.8747i −1.09448 0.795188i −0.114332 0.993443i \(-0.536473\pi\)
−0.980151 + 0.198254i \(0.936473\pi\)
\(224\) 0.587785 + 0.809017i 0.0392731 + 0.0540547i
\(225\) −8.07560 9.84930i −0.538373 0.656620i
\(226\) −4.96622 1.61362i −0.330348 0.107337i
\(227\) −8.63392 + 6.27291i −0.573053 + 0.416348i −0.836213 0.548405i \(-0.815235\pi\)
0.263160 + 0.964752i \(0.415235\pi\)
\(228\) −0.310685 + 2.41672i −0.0205756 + 0.160051i
\(229\) 0.489598 + 1.50683i 0.0323535 + 0.0995739i 0.965929 0.258806i \(-0.0833291\pi\)
−0.933576 + 0.358380i \(0.883329\pi\)
\(230\) −6.13137 −0.404291
\(231\) 5.64584 + 1.06043i 0.371469 + 0.0697714i
\(232\) 2.73387 0.179487
\(233\) 3.15670 + 9.71532i 0.206802 + 0.636472i 0.999635 + 0.0270320i \(0.00860560\pi\)
−0.792832 + 0.609440i \(0.791394\pi\)
\(234\) 2.60752 + 6.67111i 0.170459 + 0.436104i
\(235\) −5.16533 + 3.75283i −0.336949 + 0.244808i
\(236\) 7.37352 + 2.39580i 0.479975 + 0.155953i
\(237\) −25.1236 + 4.73554i −1.63195 + 0.307606i
\(238\) 1.51953 + 2.09146i 0.0984966 + 0.135569i
\(239\) 16.8321 + 12.2292i 1.08878 + 0.791041i 0.979192 0.202936i \(-0.0650484\pi\)
0.109583 + 0.993978i \(0.465048\pi\)
\(240\) −1.03225 + 1.09442i −0.0666313 + 0.0706442i
\(241\) 15.8700i 1.02228i −0.859499 0.511138i \(-0.829224\pi\)
0.859499 0.511138i \(-0.170776\pi\)
\(242\) −9.58564 + 5.39588i −0.616188 + 0.346861i
\(243\) −12.5102 9.30030i −0.802528 0.596614i
\(244\) −10.7299 + 3.48636i −0.686912 + 0.223191i
\(245\) −0.510537 + 0.702694i −0.0326170 + 0.0448935i
\(246\) −1.26841 + 2.68024i −0.0808708 + 0.170886i
\(247\) 1.03790 3.19434i 0.0660402 0.203251i
\(248\) 2.56914 7.90699i 0.163140 0.502094i
\(249\) −5.77538 + 12.2038i −0.366000 + 0.773385i
\(250\) −4.72021 + 6.49681i −0.298532 + 0.410894i
\(251\) 8.08993 2.62858i 0.510632 0.165914i −0.0423578 0.999103i \(-0.513487\pi\)
0.552990 + 0.833188i \(0.313487\pi\)
\(252\) 2.52591 + 1.61857i 0.159118 + 0.101960i
\(253\) −18.1143 14.8328i −1.13884 0.932529i
\(254\) 3.40387i 0.213578i
\(255\) −2.66855 + 2.82926i −0.167111 + 0.177175i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −7.98604 10.9918i −0.498156 0.685652i 0.483711 0.875228i \(-0.339289\pi\)
−0.981866 + 0.189576i \(0.939289\pi\)
\(258\) 13.7795 2.59729i 0.857872 0.161700i
\(259\) 9.01131 + 2.92795i 0.559935 + 0.181934i
\(260\) 1.67770 1.21892i 0.104047 0.0755944i
\(261\) 7.63882 2.98576i 0.472831 0.184814i
\(262\) 0.717308 + 2.20765i 0.0443154 + 0.136389i
\(263\) −24.4820 −1.50962 −0.754811 0.655942i \(-0.772271\pi\)
−0.754811 + 0.655942i \(0.772271\pi\)
\(264\) −5.69720 + 0.736128i −0.350639 + 0.0453055i
\(265\) 10.0630 0.618166
\(266\) −0.434718 1.33792i −0.0266543 0.0820334i
\(267\) 0.962980 7.49072i 0.0589334 0.458425i
\(268\) −2.63035 + 1.91106i −0.160674 + 0.116737i
\(269\) 2.86740 + 0.931675i 0.174828 + 0.0568052i 0.395123 0.918628i \(-0.370702\pi\)
−0.220295 + 0.975433i \(0.570702\pi\)
\(270\) −1.68899 + 4.18531i −0.102789 + 0.254710i
\(271\) 4.85580 + 6.68343i 0.294969 + 0.405990i 0.930620 0.365987i \(-0.119268\pi\)
−0.635651 + 0.771976i \(0.719268\pi\)
\(272\) −2.09146 1.51953i −0.126813 0.0921352i
\(273\) −3.00831 2.83743i −0.182071 0.171729i
\(274\) 12.1034i 0.731195i
\(275\) −13.6208 + 3.57028i −0.821367 + 0.215296i
\(276\) −5.86677 10.7272i −0.353138 0.645704i
\(277\) 5.89617 1.91578i 0.354267 0.115108i −0.126477 0.991970i \(-0.540367\pi\)
0.480743 + 0.876861i \(0.340367\pi\)
\(278\) 7.37130 10.1457i 0.442101 0.608500i
\(279\) −1.45699 24.8991i −0.0872276 1.49067i
\(280\) 0.268405 0.826066i 0.0160403 0.0493669i
\(281\) 7.08533 21.8064i 0.422675 1.30086i −0.482527 0.875881i \(-0.660281\pi\)
0.905203 0.424980i \(-0.139719\pi\)
\(282\) −11.5082 5.44620i −0.685306 0.324317i
\(283\) 0.655664 0.902445i 0.0389752 0.0536448i −0.789085 0.614284i \(-0.789445\pi\)
0.828060 + 0.560640i \(0.189445\pi\)
\(284\) 1.00580 0.326804i 0.0596833 0.0193923i
\(285\) 1.85683 1.01551i 0.109989 0.0601535i
\(286\) 7.90532 + 0.457497i 0.467452 + 0.0270523i
\(287\) 1.71197i 0.101055i
\(288\) −2.90245 0.758798i −0.171029 0.0447126i
\(289\) 8.34649 + 6.06408i 0.490970 + 0.356711i
\(290\) −1.39574 1.92107i −0.0819608 0.112809i
\(291\) −3.70869 19.6758i −0.217407 1.15342i
\(292\) 13.2720 + 4.31235i 0.776687 + 0.252361i
\(293\) 18.4654 13.4159i 1.07876 0.783765i 0.101294 0.994857i \(-0.467702\pi\)
0.977466 + 0.211091i \(0.0677017\pi\)
\(294\) −1.71791 0.220849i −0.100191 0.0128802i
\(295\) −2.08094 6.40447i −0.121157 0.372883i
\(296\) −9.47505 −0.550726
\(297\) −15.1148 + 8.27898i −0.877052 + 0.480395i
\(298\) −14.2124 −0.823300
\(299\) 5.20812 + 16.0289i 0.301193 + 0.926978i
\(300\) −7.29353 0.937630i −0.421092 0.0541341i
\(301\) −6.54953 + 4.75851i −0.377509 + 0.274276i
\(302\) 8.13253 + 2.64242i 0.467974 + 0.152054i
\(303\) −4.01095 21.2794i −0.230423 1.22247i
\(304\) 0.826882 + 1.13811i 0.0474250 + 0.0652748i
\(305\) 7.92786 + 5.75993i 0.453948 + 0.329812i
\(306\) −7.50337 1.96163i −0.428939 0.112139i
\(307\) 24.2578i 1.38447i 0.721674 + 0.692233i \(0.243373\pi\)
−0.721674 + 0.692233i \(0.756627\pi\)
\(308\) 2.79135 1.79118i 0.159052 0.102062i
\(309\) 13.3519 7.30224i 0.759566 0.415410i
\(310\) −6.86783 + 2.23149i −0.390067 + 0.126740i
\(311\) 14.2391 19.5985i 0.807428 1.11133i −0.184287 0.982872i \(-0.558998\pi\)
0.991715 0.128457i \(-0.0410024\pi\)
\(312\) 3.73789 + 1.76893i 0.211616 + 0.100146i
\(313\) 5.95258 18.3202i 0.336460 1.03552i −0.629539 0.776969i \(-0.716756\pi\)
0.965999 0.258548i \(-0.0832439\pi\)
\(314\) −2.76360 + 8.50550i −0.155959 + 0.479993i
\(315\) −0.152216 2.60128i −0.00857639 0.146566i
\(316\) −8.67601 + 11.9415i −0.488064 + 0.671762i
\(317\) −9.22231 + 2.99651i −0.517976 + 0.168301i −0.556327 0.830964i \(-0.687790\pi\)
0.0383503 + 0.999264i \(0.487790\pi\)
\(318\) 9.62875 + 17.6059i 0.539953 + 0.987290i
\(319\) 0.523861 9.05208i 0.0293306 0.506819i
\(320\) 0.868577i 0.0485549i
\(321\) −8.87911 8.37473i −0.495584 0.467432i
\(322\) 5.71093 + 4.14923i 0.318258 + 0.231228i
\(323\) 2.13764 + 2.94221i 0.118942 + 0.163709i
\(324\) −8.93858 + 1.04969i −0.496588 + 0.0583160i
\(325\) 9.64033 + 3.13233i 0.534750 + 0.173751i
\(326\) 9.90550 7.19677i 0.548615 0.398592i
\(327\) 0.302177 2.35054i 0.0167104 0.129985i
\(328\) 0.529029 + 1.62818i 0.0292108 + 0.0899015i
\(329\) 7.35075 0.405260
\(330\) 3.42590 + 3.62757i 0.188590 + 0.199691i
\(331\) 25.6282 1.40865 0.704327 0.709876i \(-0.251249\pi\)
0.704327 + 0.709876i \(0.251249\pi\)
\(332\) 2.40880 + 7.41353i 0.132200 + 0.406870i
\(333\) −26.4746 + 10.3481i −1.45080 + 0.567070i
\(334\) 10.5846 7.69016i 0.579164 0.420787i
\(335\) 2.68579 + 0.872665i 0.146740 + 0.0476788i
\(336\) 1.70208 0.320825i 0.0928560 0.0175024i
\(337\) 11.0189 + 15.1662i 0.600237 + 0.826155i 0.995730 0.0923139i \(-0.0294263\pi\)
−0.395493 + 0.918469i \(0.629426\pi\)
\(338\) 5.90557 + 4.29065i 0.321221 + 0.233380i
\(339\) −6.20575 + 6.57950i −0.337050 + 0.357350i
\(340\) 2.24543i 0.121776i
\(341\) −25.6884 10.0218i −1.39111 0.542709i
\(342\) 3.55340 + 2.27696i 0.192146 + 0.123124i
\(343\) 0.951057 0.309017i 0.0513522 0.0166853i
\(344\) 4.75851 6.54953i 0.256562 0.353127i
\(345\) −4.54276 + 9.59919i −0.244574 + 0.516803i
\(346\) 5.33699 16.4256i 0.286918 0.883044i
\(347\) −0.170339 + 0.524249i −0.00914426 + 0.0281432i −0.955525 0.294912i \(-0.904710\pi\)
0.946380 + 0.323055i \(0.104710\pi\)
\(348\) 2.02554 4.28011i 0.108580 0.229438i
\(349\) −6.49222 + 8.93578i −0.347521 + 0.478321i −0.946619 0.322354i \(-0.895526\pi\)
0.599099 + 0.800675i \(0.295526\pi\)
\(350\) 4.03778 1.31195i 0.215828 0.0701269i
\(351\) 12.3761 + 0.860360i 0.660588 + 0.0459226i
\(352\) −2.10123 + 2.56609i −0.111996 + 0.136773i
\(353\) 19.7791i 1.05273i −0.850257 0.526367i \(-0.823554\pi\)
0.850257 0.526367i \(-0.176446\pi\)
\(354\) 9.21391 9.76883i 0.489714 0.519207i
\(355\) −0.743141 0.539924i −0.0394419 0.0286562i
\(356\) −2.56296 3.52761i −0.135836 0.186963i
\(357\) 4.40018 0.829391i 0.232882 0.0438960i
\(358\) 2.59166 + 0.842083i 0.136974 + 0.0445055i
\(359\) 7.99645 5.80976i 0.422036 0.306627i −0.356420 0.934326i \(-0.616003\pi\)
0.778457 + 0.627698i \(0.216003\pi\)
\(360\) 0.948606 + 2.42693i 0.0499959 + 0.127910i
\(361\) 5.25977 + 16.1879i 0.276830 + 0.851996i
\(362\) 17.2441 0.906330
\(363\) 1.34569 + 19.0050i 0.0706303 + 0.997503i
\(364\) −2.38753 −0.125141
\(365\) −3.74561 11.5278i −0.196054 0.603392i
\(366\) −2.49164 + 19.3817i −0.130240 + 1.01310i
\(367\) 19.3727 14.0751i 1.01125 0.734714i 0.0467764 0.998905i \(-0.485105\pi\)
0.964470 + 0.264192i \(0.0851052\pi\)
\(368\) −6.71360 2.18138i −0.349971 0.113712i
\(369\) 3.25639 + 3.97161i 0.169521 + 0.206754i
\(370\) 4.83736 + 6.65806i 0.251482 + 0.346136i
\(371\) −9.37298 6.80987i −0.486621 0.353551i
\(372\) −10.4756 9.88053i −0.543134 0.512281i
\(373\) 6.97622i 0.361215i 0.983555 + 0.180607i \(0.0578063\pi\)
−0.983555 + 0.180607i \(0.942194\pi\)
\(374\) −5.43206 + 6.63382i −0.280885 + 0.343027i
\(375\) 6.67409 + 12.2034i 0.344649 + 0.630181i
\(376\) −6.99098 + 2.27151i −0.360532 + 0.117144i
\(377\) −3.83660 + 5.28062i −0.197595 + 0.271966i
\(378\) 4.40547 2.75533i 0.226593 0.141719i
\(379\) −10.6387 + 32.7426i −0.546474 + 1.68187i 0.170987 + 0.985273i \(0.445304\pi\)
−0.717460 + 0.696599i \(0.754696\pi\)
\(380\) 0.377586 1.16209i 0.0193697 0.0596140i
\(381\) 5.32906 + 2.52194i 0.273016 + 0.129203i
\(382\) −5.57837 + 7.67797i −0.285414 + 0.392839i
\(383\) −2.22861 + 0.724118i −0.113876 + 0.0370007i −0.365401 0.930850i \(-0.619068\pi\)
0.251524 + 0.967851i \(0.419068\pi\)
\(384\) −1.51963 + 0.831094i −0.0775484 + 0.0424116i
\(385\) −2.68374 1.04700i −0.136776 0.0533602i
\(386\) 0.901550i 0.0458877i
\(387\) 6.14297 23.4973i 0.312265 1.19443i
\(388\) −9.35213 6.79472i −0.474782 0.344950i
\(389\) 6.08479 + 8.37499i 0.308511 + 0.424629i 0.934916 0.354869i \(-0.115474\pi\)
−0.626405 + 0.779498i \(0.715474\pi\)
\(390\) −0.665313 3.52970i −0.0336894 0.178733i
\(391\) −17.3559 5.63927i −0.877725 0.285190i
\(392\) −0.809017 + 0.587785i −0.0408615 + 0.0296876i
\(393\) 3.98772 + 0.512647i 0.201154 + 0.0258596i
\(394\) −4.97994 15.3267i −0.250886 0.772147i
\(395\) 12.8206 0.645077
\(396\) −3.06861 + 9.46486i −0.154203 + 0.475627i
\(397\) −21.5362 −1.08087 −0.540435 0.841386i \(-0.681740\pi\)
−0.540435 + 0.841386i \(0.681740\pi\)
\(398\) 0.740186 + 2.27806i 0.0371022 + 0.114189i
\(399\) −2.41672 0.310685i −0.120987 0.0155537i
\(400\) −3.43474 + 2.49549i −0.171737 + 0.124774i
\(401\) 5.84277 + 1.89843i 0.291774 + 0.0948031i 0.451247 0.892399i \(-0.350979\pi\)
−0.159473 + 0.987202i \(0.550979\pi\)
\(402\) 1.04310 + 5.53396i 0.0520249 + 0.276009i
\(403\) 11.6674 + 16.0588i 0.581193 + 0.799944i
\(404\) −10.1143 7.34849i −0.503207 0.365601i
\(405\) 5.30108 + 5.74518i 0.263413 + 0.285480i
\(406\) 2.73387i 0.135680i
\(407\) −1.81560 + 31.3727i −0.0899959 + 1.55509i
\(408\) −3.92853 + 2.14853i −0.194491 + 0.106368i
\(409\) 27.1710 8.82840i 1.34352 0.436536i 0.453012 0.891504i \(-0.350349\pi\)
0.890508 + 0.454968i \(0.150349\pi\)
\(410\) 0.874026 1.20299i 0.0431651 0.0594116i
\(411\) 18.9490 + 8.96749i 0.934684 + 0.442333i
\(412\) 2.71512 8.35627i 0.133764 0.411684i
\(413\) −2.39580 + 7.37352i −0.117890 + 0.362827i
\(414\) −21.1411 + 1.23709i −1.03903 + 0.0607995i
\(415\) 3.97966 5.47753i 0.195354 0.268881i
\(416\) 2.27068 0.737788i 0.111329 0.0361730i
\(417\) −10.4226 19.0574i −0.510396 0.933245i
\(418\) 3.92681 2.51979i 0.192067 0.123247i
\(419\) 14.0646i 0.687100i −0.939134 0.343550i \(-0.888370\pi\)
0.939134 0.343550i \(-0.111630\pi\)
\(420\) −1.09442 1.03225i −0.0534020 0.0503685i
\(421\) 31.3061 + 22.7452i 1.52577 + 1.10853i 0.958535 + 0.284976i \(0.0919855\pi\)
0.567231 + 0.823558i \(0.308014\pi\)
\(422\) 0.683001 + 0.940071i 0.0332480 + 0.0457619i
\(423\) −17.0530 + 13.9820i −0.829145 + 0.679830i
\(424\) 11.0186 + 3.58016i 0.535110 + 0.173868i
\(425\) −8.87943 + 6.45129i −0.430716 + 0.312933i
\(426\) 0.233561 1.81680i 0.0113161 0.0880242i
\(427\) −3.48636 10.7299i −0.168717 0.519257i
\(428\) −7.04686 −0.340623
\(429\) 6.57334 12.0375i 0.317364 0.581176i
\(430\) −7.03171 −0.339099
\(431\) 0.574964 + 1.76956i 0.0276950 + 0.0852366i 0.963949 0.266088i \(-0.0857313\pi\)
−0.936254 + 0.351325i \(0.885731\pi\)
\(432\) −3.33840 + 3.98184i −0.160619 + 0.191577i
\(433\) 31.9942 23.2452i 1.53755 1.11709i 0.585694 0.810532i \(-0.300822\pi\)
0.951851 0.306560i \(-0.0991780\pi\)
\(434\) 7.90699 + 2.56914i 0.379548 + 0.123323i
\(435\) −4.04172 + 0.761823i −0.193785 + 0.0365266i
\(436\) −0.804239 1.10694i −0.0385160 0.0530128i
\(437\) 8.03400 + 5.83704i 0.384318 + 0.279224i
\(438\) 16.5847 17.5835i 0.792446 0.840172i
\(439\) 1.37828i 0.0657816i −0.999459 0.0328908i \(-0.989529\pi\)
0.999459 0.0328908i \(-0.0104714\pi\)
\(440\) 2.87593 + 0.166436i 0.137105 + 0.00793452i
\(441\) −1.61857 + 2.52591i −0.0770746 + 0.120282i
\(442\) 5.87012 1.90732i 0.279213 0.0907218i
\(443\) 19.1405 26.3446i 0.909391 1.25167i −0.0579827 0.998318i \(-0.518467\pi\)
0.967374 0.253352i \(-0.0815332\pi\)
\(444\) −7.02010 + 14.8340i −0.333159 + 0.703991i
\(445\) −1.17034 + 3.60195i −0.0554796 + 0.170749i
\(446\) −6.24289 + 19.2137i −0.295610 + 0.909793i
\(447\) −10.5300 + 22.2507i −0.498052 + 1.05242i
\(448\) 0.587785 0.809017i 0.0277702 0.0382225i
\(449\) −25.9542 + 8.43302i −1.22485 + 0.397979i −0.848847 0.528638i \(-0.822703\pi\)
−0.376006 + 0.926617i \(0.622703\pi\)
\(450\) −6.87174 + 10.7240i −0.323937 + 0.505532i
\(451\) 5.49243 1.43967i 0.258628 0.0677914i
\(452\) 5.22179i 0.245612i
\(453\) 10.1624 10.7744i 0.477469 0.506225i
\(454\) 8.63392 + 6.27291i 0.405210 + 0.294402i
\(455\) 1.21892 + 1.67770i 0.0571440 + 0.0786520i
\(456\) 2.39444 0.451329i 0.112130 0.0211354i
\(457\) −8.78464 2.85430i −0.410928 0.133519i 0.0962556 0.995357i \(-0.469313\pi\)
−0.507184 + 0.861838i \(0.669313\pi\)
\(458\) 1.28178 0.931270i 0.0598938 0.0435154i
\(459\) −8.63038 + 10.2938i −0.402832 + 0.480473i
\(460\) 1.89470 + 5.83128i 0.0883407 + 0.271885i
\(461\) 32.8527 1.53010 0.765051 0.643969i \(-0.222714\pi\)
0.765051 + 0.643969i \(0.222714\pi\)
\(462\) −0.736128 5.69720i −0.0342478 0.265058i
\(463\) −0.810614 −0.0376724 −0.0188362 0.999823i \(-0.505996\pi\)
−0.0188362 + 0.999823i \(0.505996\pi\)
\(464\) −0.844812 2.60007i −0.0392194 0.120705i
\(465\) −1.59481 + 12.4055i −0.0739574 + 0.575292i
\(466\) 8.26435 6.00440i 0.382838 0.278148i
\(467\) 9.31227 + 3.02574i 0.430920 + 0.140014i 0.516443 0.856322i \(-0.327256\pi\)
−0.0855224 + 0.996336i \(0.527256\pi\)
\(468\) 5.53883 4.54138i 0.256033 0.209925i
\(469\) −1.91106 2.63035i −0.0882447 0.121458i
\(470\) 5.16533 + 3.75283i 0.238259 + 0.173105i
\(471\) 11.2685 + 10.6284i 0.519226 + 0.489732i
\(472\) 7.75298i 0.356860i
\(473\) −20.7742 17.0109i −0.955200 0.782160i
\(474\) 12.2674 + 22.4306i 0.563459 + 1.03027i
\(475\) 5.68025 1.84563i 0.260628 0.0846831i
\(476\) 1.51953 2.09146i 0.0696476 0.0958617i
\(477\) 34.6976 2.03035i 1.58869 0.0929634i
\(478\) 6.42927 19.7873i 0.294068 0.905049i
\(479\) −12.0460 + 37.0738i −0.550395 + 1.69394i 0.157408 + 0.987534i \(0.449686\pi\)
−0.707804 + 0.706409i \(0.750314\pi\)
\(480\) 1.35983 + 0.643532i 0.0620676 + 0.0293731i
\(481\) 13.2969 18.3016i 0.606285 0.834480i
\(482\) −15.0932 + 4.90409i −0.687478 + 0.223375i
\(483\) 10.7272 5.86677i 0.488106 0.266947i
\(484\) 8.09392 + 7.44906i 0.367905 + 0.338594i
\(485\) 10.0406i 0.455922i
\(486\) −4.97925 + 14.7718i −0.225863 + 0.670064i
\(487\) −4.57320 3.32263i −0.207232 0.150563i 0.479329 0.877636i \(-0.340880\pi\)
−0.686560 + 0.727073i \(0.740880\pi\)
\(488\) 6.63145 + 9.12741i 0.300192 + 0.413178i
\(489\) −3.92814 20.8400i −0.177637 0.942419i
\(490\) 0.826066 + 0.268405i 0.0373179 + 0.0121253i
\(491\) −26.8757 + 19.5264i −1.21289 + 0.881213i −0.995490 0.0948706i \(-0.969756\pi\)
−0.217396 + 0.976084i \(0.569756\pi\)
\(492\) 2.94102 + 0.378087i 0.132592 + 0.0170455i
\(493\) −2.18399 6.72164i −0.0983621 0.302728i
\(494\) −3.35872 −0.151116
\(495\) 8.21754 2.67587i 0.369351 0.120271i
\(496\) −8.31390 −0.373305
\(497\) 0.326804 + 1.00580i 0.0146592 + 0.0451163i
\(498\) 13.3912 + 1.72153i 0.600074 + 0.0771434i
\(499\) −14.6221 + 10.6236i −0.654576 + 0.475577i −0.864827 0.502070i \(-0.832572\pi\)
0.210251 + 0.977647i \(0.432572\pi\)
\(500\) 7.63745 + 2.48156i 0.341557 + 0.110979i
\(501\) −4.19744 22.2688i −0.187528 0.994896i
\(502\) −4.99985 6.88170i −0.223154 0.307146i
\(503\) 29.0451 + 21.1025i 1.29506 + 0.940914i 0.999894 0.0145334i \(-0.00462627\pi\)
0.295162 + 0.955447i \(0.404626\pi\)
\(504\) 0.758798 2.90245i 0.0337995 0.129285i
\(505\) 10.8589i 0.483217i
\(506\) −8.50919 + 21.8113i −0.378280 + 0.969631i
\(507\) 11.0928 6.06672i 0.492650 0.269433i
\(508\) 3.23727 1.05185i 0.143631 0.0466685i
\(509\) −16.3147 + 22.4552i −0.723135 + 0.995310i 0.276279 + 0.961078i \(0.410899\pi\)
−0.999414 + 0.0342328i \(0.989101\pi\)
\(510\) 3.51542 + 1.66365i 0.155665 + 0.0736676i
\(511\) −4.31235 + 13.2720i −0.190767 + 0.587120i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) 6.19750 3.87614i 0.273627 0.171136i
\(514\) −7.98604 + 10.9918i −0.352249 + 0.484829i
\(515\) −7.25806 + 2.35829i −0.319828 + 0.103919i
\(516\) −6.72826 12.3024i −0.296195 0.541585i
\(517\) 6.18155 + 23.5830i 0.271864 + 1.03718i
\(518\) 9.47505i 0.416310i
\(519\) −21.7614 20.5253i −0.955222 0.900960i
\(520\) −1.67770 1.21892i −0.0735722 0.0534533i
\(521\) −21.4692 29.5498i −0.940584 1.29460i −0.955585 0.294715i \(-0.904775\pi\)
0.0150016 0.999887i \(-0.495225\pi\)
\(522\) −5.20016 6.34230i −0.227605 0.277595i
\(523\) −4.85366 1.57705i −0.212236 0.0689596i 0.200969 0.979598i \(-0.435591\pi\)
−0.413205 + 0.910638i \(0.635591\pi\)
\(524\) 1.87794 1.36440i 0.0820380 0.0596041i
\(525\) 0.937630 7.29353i 0.0409215 0.318316i
\(526\) 7.56534 + 23.2837i 0.329865 + 1.01522i
\(527\) −21.4930 −0.936248
\(528\) 2.46063 + 5.19089i 0.107085 + 0.225904i
\(529\) −26.8309 −1.16656
\(530\) −3.10964 9.57050i −0.135074 0.415716i
\(531\) −8.46732 21.6629i −0.367451 0.940091i
\(532\) −1.13811 + 0.826882i −0.0493431 + 0.0358499i
\(533\) −3.88734 1.26307i −0.168380 0.0547098i
\(534\) −7.42168 + 1.39891i −0.321167 + 0.0605368i
\(535\) 3.59768 + 4.95179i 0.155541 + 0.214084i
\(536\) 2.63035 + 1.91106i 0.113614 + 0.0825454i
\(537\) 3.23853 3.43357i 0.139753 0.148170i
\(538\) 3.01496i 0.129984i
\(539\) 1.79118 + 2.79135i 0.0771517 + 0.120232i
\(540\) 4.50239 + 0.312996i 0.193752 + 0.0134692i
\(541\) −17.6485 + 5.73435i −0.758769 + 0.246539i −0.662750 0.748841i \(-0.730611\pi\)
−0.0960186 + 0.995380i \(0.530611\pi\)
\(542\) 4.85580 6.68343i 0.208574 0.287078i
\(543\) 12.7762 26.9971i 0.548280 1.15856i
\(544\) −0.798865 + 2.45865i −0.0342511 + 0.105414i
\(545\) −0.367246 + 1.13027i −0.0157311 + 0.0484153i
\(546\) −1.76893 + 3.73789i −0.0757033 + 0.159967i
\(547\) −0.385909 + 0.531158i −0.0165003 + 0.0227107i −0.817187 0.576372i \(-0.804468\pi\)
0.800687 + 0.599083i \(0.204468\pi\)
\(548\) 11.5111 3.74017i 0.491728 0.159772i
\(549\) 28.4976 + 18.2608i 1.21625 + 0.779353i
\(550\) 7.60460 + 11.8509i 0.324261 + 0.505324i
\(551\) 3.84594i 0.163843i
\(552\) −8.38927 + 8.89453i −0.357071 + 0.378576i
\(553\) −11.9415 8.67601i −0.507804 0.368942i
\(554\) −3.64403 5.01558i −0.154820 0.213092i
\(555\) 14.0078 2.64033i 0.594597 0.112076i
\(556\) −11.9270 3.87532i −0.505818 0.164350i
\(557\) 32.7072 23.7631i 1.38585 1.00688i 0.389540 0.921009i \(-0.372634\pi\)
0.996307 0.0858673i \(-0.0273661\pi\)
\(558\) −23.2302 + 9.07993i −0.983414 + 0.384384i
\(559\) 5.97289 + 18.3827i 0.252626 + 0.777503i
\(560\) −0.868577 −0.0367041
\(561\) 6.36118 + 13.4194i 0.268569 + 0.566567i
\(562\) −22.9286 −0.967185
\(563\) 5.29868 + 16.3077i 0.223313 + 0.687286i 0.998458 + 0.0555038i \(0.0176765\pi\)
−0.775146 + 0.631783i \(0.782324\pi\)
\(564\) −1.62340 + 12.6280i −0.0683577 + 0.531733i
\(565\) 3.66932 2.66592i 0.154369 0.112156i
\(566\) −1.06089 0.344703i −0.0445924 0.0144890i
\(567\) −1.04969 8.93858i −0.0440828 0.375385i
\(568\) −0.621619 0.855585i −0.0260825 0.0358995i
\(569\) −28.3434 20.5927i −1.18822 0.863291i −0.195144 0.980775i \(-0.562517\pi\)
−0.993075 + 0.117483i \(0.962517\pi\)
\(570\) −1.53960 1.45214i −0.0644866 0.0608235i
\(571\) 38.2259i 1.59970i −0.600199 0.799851i \(-0.704912\pi\)
0.600199 0.799851i \(-0.295088\pi\)
\(572\) −2.00777 7.65978i −0.0839493 0.320272i
\(573\) 7.88749 + 14.4221i 0.329505 + 0.602490i
\(574\) −1.62818 + 0.529029i −0.0679591 + 0.0220813i
\(575\) −17.6159 + 24.2462i −0.734633 + 1.01114i
\(576\) 0.175247 + 2.99488i 0.00730197 + 0.124787i
\(577\) −6.04713 + 18.6111i −0.251745 + 0.774792i 0.742708 + 0.669615i \(0.233541\pi\)
−0.994454 + 0.105177i \(0.966459\pi\)
\(578\) 3.18808 9.81189i 0.132606 0.408121i
\(579\) 1.41145 + 0.667962i 0.0586580 + 0.0277596i
\(580\) −1.39574 + 1.92107i −0.0579550 + 0.0797682i
\(581\) −7.41353 + 2.40880i −0.307565 + 0.0999339i
\(582\) −17.5667 + 9.60733i −0.728165 + 0.398237i
\(583\) 13.9656 35.7975i 0.578395 1.48258i
\(584\) 13.9550i 0.577464i
\(585\) −6.01898 1.57356i −0.248854 0.0650588i
\(586\) −18.4654 13.4159i −0.762799 0.554206i
\(587\) −14.4699 19.9161i −0.597237 0.822026i 0.398215 0.917292i \(-0.369630\pi\)
−0.995452 + 0.0952662i \(0.969630\pi\)
\(588\) 0.320825 + 1.70208i 0.0132306 + 0.0701925i
\(589\) 11.1234 + 3.61420i 0.458330 + 0.148921i
\(590\) −5.44797 + 3.95818i −0.224289 + 0.162956i
\(591\) −27.6849 3.55907i −1.13880 0.146401i
\(592\) 2.92795 + 9.01131i 0.120338 + 0.370362i
\(593\) 3.72800 0.153091 0.0765453 0.997066i \(-0.475611\pi\)
0.0765453 + 0.997066i \(0.475611\pi\)
\(594\) 12.5445 + 11.8167i 0.514708 + 0.484846i
\(595\) −2.24543 −0.0920537
\(596\) 4.39186 + 13.5168i 0.179898 + 0.553668i
\(597\) 4.11491 + 0.528997i 0.168412 + 0.0216504i
\(598\) 13.6350 9.90643i 0.557578 0.405104i
\(599\) −10.0553 3.26717i −0.410849 0.133493i 0.0962980 0.995353i \(-0.469300\pi\)
−0.507147 + 0.861860i \(0.669300\pi\)
\(600\) 1.36209 + 7.22630i 0.0556069 + 0.295012i
\(601\) −21.3749 29.4200i −0.871901 1.20007i −0.978599 0.205777i \(-0.934028\pi\)
0.106698 0.994291i \(-0.465972\pi\)
\(602\) 6.54953 + 4.75851i 0.266939 + 0.193942i
\(603\) 9.43673 + 2.46708i 0.384293 + 0.100467i
\(604\) 8.55105i 0.347937i
\(605\) 1.10217 9.49056i 0.0448094 0.385846i
\(606\) −18.9984 + 10.3903i −0.771759 + 0.422078i
\(607\) 27.3432 8.88433i 1.10983 0.360604i 0.303949 0.952688i \(-0.401695\pi\)
0.805876 + 0.592084i \(0.201695\pi\)
\(608\) 0.826882 1.13811i 0.0335345 0.0461563i
\(609\) 4.28011 + 2.02554i 0.173439 + 0.0820788i
\(610\) 3.02817 9.31976i 0.122607 0.377346i
\(611\) 5.42330 16.6912i 0.219403 0.675254i
\(612\) 0.453046 + 7.74230i 0.0183133 + 0.312964i
\(613\) −23.5434 + 32.4047i −0.950909 + 1.30881i 0.000213312 1.00000i \(0.499932\pi\)
−0.951122 + 0.308814i \(0.900068\pi\)
\(614\) 23.0705 7.49607i 0.931051 0.302517i
\(615\) −1.23582 2.25967i −0.0498331 0.0911185i
\(616\) −2.56609 2.10123i −0.103391 0.0846610i
\(617\) 35.0792i 1.41224i −0.708094 0.706118i \(-0.750445\pi\)
0.708094 0.706118i \(-0.249555\pi\)
\(618\) −11.0708 10.4419i −0.445334 0.420036i
\(619\) −15.9766 11.6077i −0.642153 0.466551i 0.218436 0.975851i \(-0.429904\pi\)
−0.860589 + 0.509300i \(0.829904\pi\)
\(620\) 4.24455 + 5.84213i 0.170465 + 0.234625i
\(621\) −13.7268 + 34.0148i −0.550837 + 1.36497i
\(622\) −23.0394 7.48596i −0.923797 0.300160i
\(623\) 3.52761 2.56296i 0.141331 0.102683i
\(624\) 0.527284 4.10157i 0.0211082 0.164194i
\(625\) 4.40435 + 13.5552i 0.176174 + 0.542207i
\(626\) −19.2630 −0.769903
\(627\) −1.03557 8.01469i −0.0413565 0.320076i
\(628\) 8.94321 0.356873
\(629\) 7.56929 + 23.2959i 0.301807 + 0.928867i
\(630\) −2.42693 + 0.948606i −0.0966912 + 0.0377934i
\(631\) −34.2584 + 24.8902i −1.36380 + 0.990862i −0.365612 + 0.930768i \(0.619140\pi\)
−0.998193 + 0.0600943i \(0.980860\pi\)
\(632\) 14.0381 + 4.56125i 0.558405 + 0.181437i
\(633\) 1.97780 0.372796i 0.0786105 0.0148173i
\(634\) 5.69970 + 7.84496i 0.226364 + 0.311563i
\(635\) −2.39188 1.73780i −0.0949188 0.0689626i
\(636\) 13.7688 14.5980i 0.545967 0.578849i
\(637\) 2.38753i 0.0945975i
\(638\) −8.77092 + 2.29902i −0.347244 + 0.0910192i
\(639\) −2.67131 1.71173i −0.105675 0.0677151i
\(640\) 0.826066 0.268405i 0.0326531 0.0106096i
\(641\) 19.3858 26.6822i 0.765692 1.05389i −0.231027 0.972947i \(-0.574209\pi\)
0.996719 0.0809377i \(-0.0257915\pi\)
\(642\) −5.22105 + 11.0325i −0.206058 + 0.435417i
\(643\) 8.72192 26.8433i 0.343959 1.05860i −0.618180 0.786037i \(-0.712130\pi\)
0.962139 0.272560i \(-0.0878704\pi\)
\(644\) 2.18138 6.71360i 0.0859585 0.264553i
\(645\) −5.20982 + 11.0087i −0.205137 + 0.433469i
\(646\) 2.13764 2.94221i 0.0841044 0.115760i
\(647\) 15.8981 5.16561i 0.625020 0.203081i 0.0206520 0.999787i \(-0.493426\pi\)
0.604368 + 0.796706i \(0.293426\pi\)
\(648\) 3.76048 + 8.17672i 0.147726 + 0.321212i
\(649\) −25.6708 1.48562i −1.00767 0.0583156i
\(650\) 10.1364i 0.397584i
\(651\) 9.88053 10.4756i 0.387248 0.410571i
\(652\) −9.90550 7.19677i −0.387929 0.281847i
\(653\) 22.8632 + 31.4685i 0.894707 + 1.23146i 0.972126 + 0.234460i \(0.0753323\pi\)
−0.0774182 + 0.996999i \(0.524668\pi\)
\(654\) −2.32887 + 0.438969i −0.0910661 + 0.0171651i
\(655\) −1.91751 0.623037i −0.0749234 0.0243441i
\(656\) 1.38502 1.00627i 0.0540758 0.0392884i
\(657\) −15.2408 38.9924i −0.594602 1.52124i
\(658\) −2.27151 6.99098i −0.0885526 0.272537i
\(659\) −13.1507 −0.512277 −0.256138 0.966640i \(-0.582450\pi\)
−0.256138 + 0.966640i \(0.582450\pi\)
\(660\) 2.39136 4.37921i 0.0930835 0.170460i
\(661\) 21.8589 0.850214 0.425107 0.905143i \(-0.360237\pi\)
0.425107 + 0.905143i \(0.360237\pi\)
\(662\) −7.91955 24.3739i −0.307802 0.947318i
\(663\) 1.36312 10.6033i 0.0529394 0.411799i
\(664\) 6.30632 4.58181i 0.244733 0.177809i
\(665\) 1.16209 + 0.377586i 0.0450639 + 0.0146422i
\(666\) 18.0227 + 21.9811i 0.698365 + 0.851752i
\(667\) −11.3435 15.6129i −0.439221 0.604535i
\(668\) −10.5846 7.69016i −0.409530 0.297541i
\(669\) 25.4553 + 24.0093i 0.984157 + 0.928252i
\(670\) 2.82400i 0.109101i
\(671\) 31.4923 20.2083i 1.21575 0.780133i
\(672\) −0.831094 1.51963i −0.0320601 0.0586211i
\(673\) −13.5961 + 4.41763i −0.524090 + 0.170287i −0.559101 0.829100i \(-0.688853\pi\)
0.0350107 + 0.999387i \(0.488853\pi\)
\(674\) 11.0189 15.1662i 0.424431 0.584180i
\(675\) 11.6980 + 18.7037i 0.450255 + 0.719907i
\(676\) 2.25573 6.94241i 0.0867587 0.267016i
\(677\) 12.3344 37.9614i 0.474050 1.45898i −0.373185 0.927757i \(-0.621734\pi\)
0.847235 0.531218i \(-0.178266\pi\)
\(678\) 8.17516 + 3.86884i 0.313965 + 0.148582i
\(679\) 6.79472 9.35213i 0.260757 0.358902i
\(680\) 2.13553 0.693876i 0.0818939 0.0266089i
\(681\) 16.2177 8.86953i 0.621463 0.339881i
\(682\) −1.59310 + 27.5280i −0.0610030 + 1.05410i
\(683\) 48.8360i 1.86866i 0.356411 + 0.934329i \(0.384000\pi\)
−0.356411 + 0.934329i \(0.616000\pi\)
\(684\) 1.06746 4.08310i 0.0408153 0.156121i
\(685\) −8.50501 6.17925i −0.324960 0.236097i
\(686\) −0.587785 0.809017i −0.0224417 0.0308884i
\(687\) −0.508306 2.69673i −0.0193931 0.102886i
\(688\) −7.69943 2.50170i −0.293538 0.0953763i
\(689\) −22.3783 + 16.2588i −0.852545 + 0.619410i
\(690\) 10.5332 + 1.35411i 0.400991 + 0.0515499i
\(691\) −8.48432 26.1120i −0.322759 0.993349i −0.972442 0.233144i \(-0.925099\pi\)
0.649683 0.760205i \(-0.274901\pi\)
\(692\) −17.2709 −0.656540
\(693\) −9.46486 3.06861i −0.359540 0.116567i
\(694\) 0.551228 0.0209243
\(695\) 3.36601 + 10.3595i 0.127680 + 0.392959i
\(696\) −4.69655 0.603772i −0.178022 0.0228859i
\(697\) 3.58052 2.60140i 0.135622 0.0985351i
\(698\) 10.5046 + 3.41316i 0.397606 + 0.129190i
\(699\) −3.27732 17.3872i −0.123960 0.657645i
\(700\) −2.49549 3.43474i −0.0943205 0.129821i
\(701\) −29.0205 21.0846i −1.09609 0.796355i −0.115671 0.993288i \(-0.536902\pi\)
−0.980417 + 0.196933i \(0.936902\pi\)
\(702\) −3.00618 12.0363i −0.113461 0.454279i
\(703\) 13.3293i 0.502723i
\(704\) 3.08982 + 1.20542i 0.116452 + 0.0454310i
\(705\) 9.70239 5.30628i 0.365413 0.199846i
\(706\) −18.8110 + 6.11207i −0.707962 + 0.230031i
\(707\) 7.34849 10.1143i 0.276368 0.380388i
\(708\) −12.1380 5.74421i −0.456172 0.215881i
\(709\) 13.4780 41.4810i 0.506177 1.55785i −0.292606 0.956233i \(-0.594522\pi\)
0.798783 0.601619i \(-0.205478\pi\)
\(710\) −0.283855 + 0.873615i −0.0106529 + 0.0327862i
\(711\) 44.2059 2.58674i 1.65785 0.0970103i
\(712\) −2.56296 + 3.52761i −0.0960508 + 0.132203i
\(713\) −55.8162 + 18.1358i −2.09033 + 0.679191i
\(714\) −2.14853 3.92853i −0.0804067 0.147021i
\(715\) −4.35744 + 5.32145i −0.162959 + 0.199011i
\(716\) 2.72504i 0.101839i
\(717\) −26.2152 24.7260i −0.979025 0.923411i
\(718\) −7.99645 5.80976i −0.298425 0.216818i
\(719\) 8.77972 + 12.0843i 0.327428 + 0.450667i 0.940717 0.339192i \(-0.110154\pi\)
−0.613289 + 0.789859i \(0.710154\pi\)
\(720\) 2.01501 1.65214i 0.0750950 0.0615716i
\(721\) 8.35627 + 2.71512i 0.311204 + 0.101116i
\(722\) 13.7703 10.0047i 0.512476 0.372336i
\(723\) −3.50486 + 27.2632i −0.130347 + 1.01393i
\(724\) −5.32872 16.4001i −0.198040 0.609505i
\(725\) −11.6068 −0.431068
\(726\) 17.6590 7.15269i 0.655386 0.265461i
\(727\) −19.9614 −0.740327 −0.370163 0.928967i \(-0.620698\pi\)
−0.370163 + 0.928967i \(0.620698\pi\)
\(728\) 0.737788 + 2.27068i 0.0273443 + 0.0841570i
\(729\) 19.4374 + 18.7400i 0.719905 + 0.694072i
\(730\) −9.80612 + 7.12456i −0.362941 + 0.263692i
\(731\) −19.9044 6.46735i −0.736192 0.239203i
\(732\) 19.2030 3.61958i 0.709764 0.133783i
\(733\) −12.7126 17.4974i −0.469551 0.646282i 0.506904 0.862003i \(-0.330790\pi\)
−0.976455 + 0.215721i \(0.930790\pi\)
\(734\) −19.3727 14.0751i −0.715059 0.519521i
\(735\) 1.03225 1.09442i 0.0380750 0.0403681i
\(736\) 7.05910i 0.260202i
\(737\) 6.83172 8.34313i 0.251650 0.307323i
\(738\) 2.77094 4.32430i 0.102000 0.159180i
\(739\) 12.0995 3.93136i 0.445086 0.144617i −0.0778949 0.996962i \(-0.524820\pi\)
0.522981 + 0.852344i \(0.324820\pi\)
\(740\) 4.83736 6.65806i 0.177825 0.244755i
\(741\) −2.48849 + 5.25837i −0.0914171 + 0.193171i
\(742\) −3.58016 + 11.0186i −0.131432 + 0.404505i
\(743\) −9.87887 + 30.4040i −0.362421 + 1.11542i 0.589160 + 0.808016i \(0.299459\pi\)
−0.951581 + 0.307399i \(0.900541\pi\)
\(744\) −6.15980 + 13.0161i −0.225829 + 0.477195i
\(745\) 7.25593 9.98693i 0.265837 0.365893i
\(746\) 6.63478 2.15577i 0.242916 0.0789283i
\(747\) 12.6168 19.6896i 0.461624 0.720405i
\(748\) 7.98774 + 3.11624i 0.292061 + 0.113941i
\(749\) 7.04686i 0.257487i
\(750\) 9.54372 10.1185i 0.348487 0.369475i
\(751\) −17.0527 12.3895i −0.622263 0.452101i 0.231448 0.972847i \(-0.425654\pi\)
−0.853711 + 0.520747i \(0.825654\pi\)
\(752\) 4.32066 + 5.94688i 0.157558 + 0.216861i
\(753\) −14.4783 + 2.72902i −0.527619 + 0.0994509i
\(754\) 6.20774 + 2.01702i 0.226073 + 0.0734554i
\(755\) −6.00877 + 4.36562i −0.218681 + 0.158881i
\(756\) −3.98184 3.33840i −0.144818 0.121416i
\(757\) 4.50990 + 13.8800i 0.163915 + 0.504478i 0.998955 0.0457113i \(-0.0145554\pi\)
−0.835040 + 0.550190i \(0.814555\pi\)
\(758\) 34.4276 1.25047
\(759\) 27.8430 + 29.4820i 1.01064 + 1.07013i
\(760\) −1.22189 −0.0443227
\(761\) 5.35178 + 16.4711i 0.194002 + 0.597077i 0.999987 + 0.00514046i \(0.00163626\pi\)
−0.805985 + 0.591936i \(0.798364\pi\)
\(762\) 0.751741 5.84756i 0.0272327 0.211835i
\(763\) 1.10694 0.804239i 0.0400739 0.0291154i
\(764\) 9.02600 + 2.93272i 0.326549 + 0.106102i
\(765\) 5.20917 4.27108i 0.188338 0.154421i
\(766\) 1.37735 + 1.89577i 0.0497658 + 0.0684968i
\(767\) 14.9753 + 10.8802i 0.540727 + 0.392861i
\(768\) 1.26001 + 1.18843i 0.0454667 + 0.0428839i
\(769\) 34.3601i 1.23906i −0.784974 0.619528i \(-0.787324\pi\)
0.784974 0.619528i \(-0.212676\pi\)
\(770\) −0.166436 + 2.87593i −0.00599793 + 0.103641i
\(771\) 11.2918 + 20.6467i 0.406664 + 0.743574i
\(772\) 0.857425 0.278594i 0.0308594 0.0100268i
\(773\) 11.8736 16.3426i 0.427065 0.587804i −0.540212 0.841529i \(-0.681656\pi\)
0.967276 + 0.253725i \(0.0816558\pi\)