Properties

Label 91.2.bb.a.47.5
Level $91$
Weight $2$
Character 91.47
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bb (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 47.5
Character \(\chi\) \(=\) 91.47
Dual form 91.2.bb.a.31.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.694471 - 0.186083i) q^{2} +(1.44134 - 0.832160i) q^{3} +(-1.28439 + 0.741542i) q^{4} +(-0.501414 - 1.87130i) q^{5} +(0.846120 - 0.846120i) q^{6} +(2.52715 + 0.783278i) q^{7} +(-1.77076 + 1.77076i) q^{8} +(-0.115021 + 0.199221i) q^{9} +O(q^{10})\) \(q+(0.694471 - 0.186083i) q^{2} +(1.44134 - 0.832160i) q^{3} +(-1.28439 + 0.741542i) q^{4} +(-0.501414 - 1.87130i) q^{5} +(0.846120 - 0.846120i) q^{6} +(2.52715 + 0.783278i) q^{7} +(-1.77076 + 1.77076i) q^{8} +(-0.115021 + 0.199221i) q^{9} +(-0.696434 - 1.20626i) q^{10} +(-3.08143 - 0.825667i) q^{11} +(-1.23416 + 2.13763i) q^{12} +(-0.846120 + 3.50487i) q^{13} +(1.90079 + 0.0737047i) q^{14} +(-2.27993 - 2.27993i) q^{15} +(0.582851 - 1.00953i) q^{16} +(0.254148 + 0.440197i) q^{17} +(-0.0428067 + 0.159757i) q^{18} +(-0.710286 - 2.65082i) q^{19} +(2.03166 + 2.03166i) q^{20} +(4.29430 - 0.974019i) q^{21} -2.29361 q^{22} +(-2.49648 - 1.44134i) q^{23} +(-1.07872 + 4.02582i) q^{24} +(1.07978 - 0.623409i) q^{25} +(0.0645898 + 2.59148i) q^{26} +5.37582i q^{27} +(-3.82667 + 0.867953i) q^{28} -2.40426 q^{29} +(-2.00760 - 1.15909i) q^{30} +(3.08857 + 0.827581i) q^{31} +(1.51320 - 5.64735i) q^{32} +(-5.12849 + 1.37417i) q^{33} +(0.258412 + 0.258412i) q^{34} +(0.198602 - 5.12180i) q^{35} -0.341170i q^{36} +(-2.51910 - 9.40142i) q^{37} +(-0.986546 - 1.70875i) q^{38} +(1.69706 + 5.75582i) q^{39} +(4.20150 + 2.42574i) q^{40} +(5.34023 - 5.34023i) q^{41} +(2.80102 - 1.47552i) q^{42} +12.5736i q^{43} +(4.57002 - 1.22453i) q^{44} +(0.430476 + 0.115346i) q^{45} +(-2.00194 - 0.536419i) q^{46} +(10.7811 - 2.88879i) q^{47} -1.94010i q^{48} +(5.77295 + 3.95892i) q^{49} +(0.633867 - 0.633867i) q^{50} +(0.732629 + 0.422984i) q^{51} +(-1.51226 - 5.12904i) q^{52} +(-3.42477 - 5.93187i) q^{53} +(1.00035 + 3.73335i) q^{54} +6.18029i q^{55} +(-5.86196 + 3.08797i) q^{56} +(-3.22968 - 3.22968i) q^{57} +(-1.66969 + 0.447392i) q^{58} +(1.00352 - 3.74520i) q^{59} +(4.61898 + 1.23765i) q^{60} +(-5.51719 - 3.18535i) q^{61} +2.29892 q^{62} +(-0.446720 + 0.413369i) q^{63} -1.87209i q^{64} +(6.98291 - 0.174042i) q^{65} +(-3.30587 + 1.90865i) q^{66} +(-1.75850 + 6.56281i) q^{67} +(-0.652849 - 0.376923i) q^{68} -4.79771 q^{69} +(-0.815156 - 3.59390i) q^{70} +(-1.90492 - 1.90492i) q^{71} +(-0.149099 - 0.556446i) q^{72} +(0.0676442 - 0.252451i) q^{73} +(-3.49889 - 6.06025i) q^{74} +(1.03755 - 1.79709i) q^{75} +(2.87798 + 2.87798i) q^{76} +(-7.14051 - 4.50020i) q^{77} +(2.24962 + 3.68146i) q^{78} +(-2.78380 + 4.82168i) q^{79} +(-2.18138 - 0.584499i) q^{80} +(4.12848 + 7.15074i) q^{81} +(2.71491 - 4.70236i) q^{82} +(-5.86182 + 5.86182i) q^{83} +(-4.79327 + 4.43542i) q^{84} +(0.696309 - 0.696309i) q^{85} +(2.33974 + 8.73203i) q^{86} +(-3.46536 + 2.00073i) q^{87} +(6.91853 - 3.99441i) q^{88} +(-11.8358 + 3.17139i) q^{89} +0.320417 q^{90} +(-4.88355 + 8.19457i) q^{91} +4.27526 q^{92} +(5.14037 - 1.37736i) q^{93} +(6.94962 - 4.01237i) q^{94} +(-4.60434 + 2.65832i) q^{95} +(-2.51845 - 9.39899i) q^{96} +(7.04713 - 7.04713i) q^{97} +(4.74583 + 1.67511i) q^{98} +(0.518918 - 0.518918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 2 q^{2} - 12 q^{3} - 6 q^{5} - 6 q^{7} - 16 q^{8} + 8 q^{9} + O(q^{10}) \) \( 32 q - 2 q^{2} - 12 q^{3} - 6 q^{5} - 6 q^{7} - 16 q^{8} + 8 q^{9} - 10 q^{11} + 28 q^{14} - 44 q^{15} + 12 q^{16} - 4 q^{18} + 12 q^{19} - 26 q^{21} - 8 q^{22} - 12 q^{24} + 24 q^{26} - 6 q^{28} + 16 q^{29} + 24 q^{31} + 4 q^{32} + 48 q^{33} + 28 q^{35} - 8 q^{37} - 6 q^{39} - 132 q^{40} - 16 q^{42} - 42 q^{44} - 24 q^{45} + 12 q^{46} + 30 q^{47} + 88 q^{50} + 36 q^{52} - 12 q^{53} + 78 q^{54} + 40 q^{57} + 26 q^{58} - 54 q^{59} + 16 q^{60} - 48 q^{61} + 24 q^{63} - 8 q^{65} + 12 q^{66} + 16 q^{67} - 48 q^{68} + 50 q^{70} - 36 q^{71} + 22 q^{72} + 66 q^{73} + 12 q^{74} - 176 q^{78} - 32 q^{79} + 138 q^{80} + 16 q^{81} - 58 q^{84} - 84 q^{85} + 42 q^{86} - 24 q^{87} - 60 q^{89} + 48 q^{92} + 6 q^{93} - 72 q^{94} - 42 q^{96} - 86 q^{98} - 24 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.694471 0.186083i 0.491065 0.131581i −0.00478511 0.999989i \(-0.501523\pi\)
0.495850 + 0.868408i \(0.334856\pi\)
\(3\) 1.44134 0.832160i 0.832160 0.480448i −0.0224319 0.999748i \(-0.507141\pi\)
0.854592 + 0.519301i \(0.173808\pi\)
\(4\) −1.28439 + 0.741542i −0.642194 + 0.370771i
\(5\) −0.501414 1.87130i −0.224239 0.836871i −0.982708 0.185162i \(-0.940719\pi\)
0.758469 0.651709i \(-0.225948\pi\)
\(6\) 0.846120 0.846120i 0.345427 0.345427i
\(7\) 2.52715 + 0.783278i 0.955172 + 0.296051i
\(8\) −1.77076 + 1.77076i −0.626057 + 0.626057i
\(9\) −0.115021 + 0.199221i −0.0383402 + 0.0664071i
\(10\) −0.696434 1.20626i −0.220232 0.381453i
\(11\) −3.08143 0.825667i −0.929087 0.248948i −0.237621 0.971358i \(-0.576368\pi\)
−0.691465 + 0.722410i \(0.743034\pi\)
\(12\) −1.23416 + 2.13763i −0.356272 + 0.617081i
\(13\) −0.846120 + 3.50487i −0.234671 + 0.972075i
\(14\) 1.90079 + 0.0737047i 0.508006 + 0.0196984i
\(15\) −2.27993 2.27993i −0.588675 0.588675i
\(16\) 0.582851 1.00953i 0.145713 0.252382i
\(17\) 0.254148 + 0.440197i 0.0616400 + 0.106764i 0.895199 0.445667i \(-0.147034\pi\)
−0.833559 + 0.552431i \(0.813700\pi\)
\(18\) −0.0428067 + 0.159757i −0.0100896 + 0.0376550i
\(19\) −0.710286 2.65082i −0.162951 0.608141i −0.998293 0.0584100i \(-0.981397\pi\)
0.835342 0.549731i \(-0.185270\pi\)
\(20\) 2.03166 + 2.03166i 0.454292 + 0.454292i
\(21\) 4.29430 0.974019i 0.937093 0.212548i
\(22\) −2.29361 −0.488999
\(23\) −2.49648 1.44134i −0.520552 0.300541i 0.216609 0.976259i \(-0.430500\pi\)
−0.737160 + 0.675718i \(0.763834\pi\)
\(24\) −1.07872 + 4.02582i −0.220192 + 0.821768i
\(25\) 1.07978 0.623409i 0.215955 0.124682i
\(26\) 0.0645898 + 2.59148i 0.0126671 + 0.508230i
\(27\) 5.37582i 1.03458i
\(28\) −3.82667 + 0.867953i −0.723173 + 0.164028i
\(29\) −2.40426 −0.446460 −0.223230 0.974766i \(-0.571660\pi\)
−0.223230 + 0.974766i \(0.571660\pi\)
\(30\) −2.00760 1.15909i −0.366536 0.211620i
\(31\) 3.08857 + 0.827581i 0.554724 + 0.148638i 0.525281 0.850929i \(-0.323960\pi\)
0.0294427 + 0.999566i \(0.490627\pi\)
\(32\) 1.51320 5.64735i 0.267499 0.998319i
\(33\) −5.12849 + 1.37417i −0.892755 + 0.239213i
\(34\) 0.258412 + 0.258412i 0.0443172 + 0.0443172i
\(35\) 0.198602 5.12180i 0.0335699 0.865742i
\(36\) 0.341170i 0.0568617i
\(37\) −2.51910 9.40142i −0.414138 1.54558i −0.786556 0.617519i \(-0.788138\pi\)
0.372418 0.928065i \(-0.378529\pi\)
\(38\) −0.986546 1.70875i −0.160039 0.277196i
\(39\) 1.69706 + 5.75582i 0.271747 + 0.921669i
\(40\) 4.20150 + 2.42574i 0.664316 + 0.383543i
\(41\) 5.34023 5.34023i 0.834004 0.834004i −0.154058 0.988062i \(-0.549234\pi\)
0.988062 + 0.154058i \(0.0492342\pi\)
\(42\) 2.80102 1.47552i 0.432206 0.227678i
\(43\) 12.5736i 1.91746i 0.284313 + 0.958732i \(0.408235\pi\)
−0.284313 + 0.958732i \(0.591765\pi\)
\(44\) 4.57002 1.22453i 0.688956 0.184605i
\(45\) 0.430476 + 0.115346i 0.0641716 + 0.0171947i
\(46\) −2.00194 0.536419i −0.295170 0.0790906i
\(47\) 10.7811 2.88879i 1.57259 0.421374i 0.635967 0.771716i \(-0.280601\pi\)
0.936622 + 0.350342i \(0.113935\pi\)
\(48\) 1.94010i 0.280029i
\(49\) 5.77295 + 3.95892i 0.824707 + 0.565560i
\(50\) 0.633867 0.633867i 0.0896423 0.0896423i
\(51\) 0.732629 + 0.422984i 0.102589 + 0.0592296i
\(52\) −1.51226 5.12904i −0.209712 0.711270i
\(53\) −3.42477 5.93187i −0.470428 0.814805i 0.529000 0.848622i \(-0.322567\pi\)
−0.999428 + 0.0338167i \(0.989234\pi\)
\(54\) 1.00035 + 3.73335i 0.136130 + 0.508045i
\(55\) 6.18029i 0.833350i
\(56\) −5.86196 + 3.08797i −0.783338 + 0.412648i
\(57\) −3.22968 3.22968i −0.427781 0.427781i
\(58\) −1.66969 + 0.447392i −0.219241 + 0.0587454i
\(59\) 1.00352 3.74520i 0.130647 0.487583i −0.869330 0.494231i \(-0.835450\pi\)
0.999978 + 0.00664837i \(0.00211626\pi\)
\(60\) 4.61898 + 1.23765i 0.596307 + 0.159780i
\(61\) −5.51719 3.18535i −0.706404 0.407843i 0.103324 0.994648i \(-0.467052\pi\)
−0.809728 + 0.586805i \(0.800386\pi\)
\(62\) 2.29892 0.291963
\(63\) −0.446720 + 0.413369i −0.0562814 + 0.0520796i
\(64\) 1.87209i 0.234012i
\(65\) 6.98291 0.174042i 0.866124 0.0215872i
\(66\) −3.30587 + 1.90865i −0.406925 + 0.234938i
\(67\) −1.75850 + 6.56281i −0.214835 + 0.801775i 0.771390 + 0.636363i \(0.219562\pi\)
−0.986225 + 0.165412i \(0.947105\pi\)
\(68\) −0.652849 0.376923i −0.0791696 0.0457086i
\(69\) −4.79771 −0.577576
\(70\) −0.815156 3.59390i −0.0974298 0.429553i
\(71\) −1.90492 1.90492i −0.226072 0.226072i 0.584978 0.811049i \(-0.301103\pi\)
−0.811049 + 0.584978i \(0.801103\pi\)
\(72\) −0.149099 0.556446i −0.0175715 0.0655778i
\(73\) 0.0676442 0.252451i 0.00791715 0.0295472i −0.961854 0.273562i \(-0.911798\pi\)
0.969771 + 0.244015i \(0.0784647\pi\)
\(74\) −3.49889 6.06025i −0.406738 0.704490i
\(75\) 1.03755 1.79709i 0.119806 0.207510i
\(76\) 2.87798 + 2.87798i 0.330127 + 0.330127i
\(77\) −7.14051 4.50020i −0.813736 0.512845i
\(78\) 2.24962 + 3.68146i 0.254719 + 0.416843i
\(79\) −2.78380 + 4.82168i −0.313202 + 0.542481i −0.979054 0.203603i \(-0.934735\pi\)
0.665852 + 0.746084i \(0.268068\pi\)
\(80\) −2.18138 0.584499i −0.243886 0.0653490i
\(81\) 4.12848 + 7.15074i 0.458720 + 0.794526i
\(82\) 2.71491 4.70236i 0.299812 0.519289i
\(83\) −5.86182 + 5.86182i −0.643419 + 0.643419i −0.951394 0.307975i \(-0.900349\pi\)
0.307975 + 0.951394i \(0.400349\pi\)
\(84\) −4.79327 + 4.43542i −0.522989 + 0.483944i
\(85\) 0.696309 0.696309i 0.0755253 0.0755253i
\(86\) 2.33974 + 8.73203i 0.252301 + 0.941599i
\(87\) −3.46536 + 2.00073i −0.371526 + 0.214500i
\(88\) 6.91853 3.99441i 0.737517 0.425806i
\(89\) −11.8358 + 3.17139i −1.25459 + 0.336166i −0.824108 0.566433i \(-0.808323\pi\)
−0.430482 + 0.902599i \(0.641656\pi\)
\(90\) 0.320417 0.0337749
\(91\) −4.88355 + 8.19457i −0.511936 + 0.859024i
\(92\) 4.27526 0.445727
\(93\) 5.14037 1.37736i 0.533032 0.142825i
\(94\) 6.94962 4.01237i 0.716799 0.413844i
\(95\) −4.60434 + 2.65832i −0.472396 + 0.272738i
\(96\) −2.51845 9.39899i −0.257038 0.959280i
\(97\) 7.04713 7.04713i 0.715528 0.715528i −0.252158 0.967686i \(-0.581140\pi\)
0.967686 + 0.252158i \(0.0811403\pi\)
\(98\) 4.74583 + 1.67511i 0.479402 + 0.169211i
\(99\) 0.518918 0.518918i 0.0521533 0.0521533i
\(100\) −0.924567 + 1.60140i −0.0924567 + 0.160140i
\(101\) 2.35974 + 4.08719i 0.234803 + 0.406691i 0.959215 0.282676i \(-0.0912222\pi\)
−0.724412 + 0.689367i \(0.757889\pi\)
\(102\) 0.587500 + 0.157420i 0.0581711 + 0.0155869i
\(103\) −2.22971 + 3.86197i −0.219700 + 0.380531i −0.954716 0.297518i \(-0.903841\pi\)
0.735016 + 0.678049i \(0.237174\pi\)
\(104\) −4.70799 7.70454i −0.461657 0.755492i
\(105\) −3.97590 7.54754i −0.388008 0.736564i
\(106\) −3.48222 3.48222i −0.338223 0.338223i
\(107\) −9.65530 + 16.7235i −0.933413 + 1.61672i −0.155973 + 0.987761i \(0.549851\pi\)
−0.777440 + 0.628957i \(0.783482\pi\)
\(108\) −3.98639 6.90464i −0.383591 0.664399i
\(109\) −2.81694 + 10.5129i −0.269813 + 1.00696i 0.689424 + 0.724358i \(0.257864\pi\)
−0.959238 + 0.282600i \(0.908803\pi\)
\(110\) 1.15005 + 4.29203i 0.109653 + 0.409229i
\(111\) −11.4544 11.4544i −1.08720 1.08720i
\(112\) 2.26369 2.09469i 0.213899 0.197930i
\(113\) 11.1771 1.05145 0.525726 0.850654i \(-0.323794\pi\)
0.525726 + 0.850654i \(0.323794\pi\)
\(114\) −2.84390 1.64193i −0.266356 0.153781i
\(115\) −1.44542 + 5.39437i −0.134786 + 0.503028i
\(116\) 3.08800 1.78286i 0.286714 0.165534i
\(117\) −0.600923 0.571697i −0.0555554 0.0528534i
\(118\) 2.78767i 0.256626i
\(119\) 0.297473 + 1.31151i 0.0272693 + 0.120226i
\(120\) 8.07441 0.737089
\(121\) −0.712785 0.411527i −0.0647987 0.0374115i
\(122\) −4.42427 1.18548i −0.400555 0.107328i
\(123\) 3.25318 12.1410i 0.293329 1.09472i
\(124\) −4.58061 + 1.22737i −0.411351 + 0.110221i
\(125\) −8.55744 8.55744i −0.765400 0.765400i
\(126\) −0.233313 + 0.370200i −0.0207852 + 0.0329800i
\(127\) 14.7463i 1.30852i −0.756269 0.654261i \(-0.772980\pi\)
0.756269 0.654261i \(-0.227020\pi\)
\(128\) 2.67804 + 9.99458i 0.236707 + 0.883404i
\(129\) 10.4633 + 18.1229i 0.921241 + 1.59564i
\(130\) 4.81704 1.42027i 0.422483 0.124566i
\(131\) 17.5068 + 10.1075i 1.52957 + 0.883100i 0.999379 + 0.0352230i \(0.0112141\pi\)
0.530194 + 0.847877i \(0.322119\pi\)
\(132\) 5.56796 5.56796i 0.484629 0.484629i
\(133\) 0.281334 7.25538i 0.0243947 0.629121i
\(134\) 4.88491i 0.421992i
\(135\) 10.0598 2.69551i 0.865808 0.231992i
\(136\) −1.22952 0.329448i −0.105430 0.0282500i
\(137\) 8.18452 + 2.19304i 0.699251 + 0.187364i 0.590895 0.806748i \(-0.298775\pi\)
0.108356 + 0.994112i \(0.465441\pi\)
\(138\) −3.33187 + 0.892772i −0.283628 + 0.0759978i
\(139\) 2.42919i 0.206041i −0.994679 0.103021i \(-0.967149\pi\)
0.994679 0.103021i \(-0.0328507\pi\)
\(140\) 3.54295 + 6.72565i 0.299434 + 0.568421i
\(141\) 13.1354 13.1354i 1.10620 1.10620i
\(142\) −1.67738 0.968436i −0.140763 0.0812694i
\(143\) 5.50111 10.1014i 0.460026 0.844721i
\(144\) 0.134080 + 0.232233i 0.0111733 + 0.0193527i
\(145\) 1.20553 + 4.49909i 0.100114 + 0.373629i
\(146\) 0.187908i 0.0155513i
\(147\) 11.6153 + 0.902140i 0.958010 + 0.0744073i
\(148\) 10.2071 + 10.2071i 0.839015 + 0.839015i
\(149\) −5.73207 + 1.53590i −0.469590 + 0.125826i −0.485851 0.874042i \(-0.661490\pi\)
0.0162614 + 0.999868i \(0.494824\pi\)
\(150\) 0.386141 1.44110i 0.0315283 0.117665i
\(151\) −6.24701 1.67388i −0.508374 0.136219i −0.00449055 0.999990i \(-0.501429\pi\)
−0.503884 + 0.863771i \(0.668096\pi\)
\(152\) 5.95171 + 3.43622i 0.482748 + 0.278715i
\(153\) −0.116929 −0.00945315
\(154\) −5.79628 1.79653i −0.467078 0.144769i
\(155\) 6.19461i 0.497563i
\(156\) −6.44786 6.13426i −0.516242 0.491134i
\(157\) 5.54969 3.20411i 0.442913 0.255716i −0.261919 0.965090i \(-0.584355\pi\)
0.704833 + 0.709374i \(0.251022\pi\)
\(158\) −1.03603 + 3.86653i −0.0824225 + 0.307605i
\(159\) −9.87253 5.69991i −0.782942 0.452032i
\(160\) −11.3266 −0.895448
\(161\) −5.18000 5.59792i −0.408241 0.441178i
\(162\) 4.19774 + 4.19774i 0.329805 + 0.329805i
\(163\) 0.177113 + 0.660995i 0.0138726 + 0.0517731i 0.972515 0.232840i \(-0.0748017\pi\)
−0.958643 + 0.284613i \(0.908135\pi\)
\(164\) −2.89892 + 10.8189i −0.226368 + 0.844816i
\(165\) 5.14299 + 8.90791i 0.400381 + 0.693480i
\(166\) −2.98008 + 5.16165i −0.231299 + 0.400622i
\(167\) 2.47505 + 2.47505i 0.191525 + 0.191525i 0.796355 0.604830i \(-0.206759\pi\)
−0.604830 + 0.796355i \(0.706759\pi\)
\(168\) −5.87941 + 9.32891i −0.453606 + 0.719741i
\(169\) −11.5682 5.93107i −0.889859 0.456236i
\(170\) 0.353995 0.613137i 0.0271502 0.0470255i
\(171\) 0.609798 + 0.163395i 0.0466325 + 0.0124951i
\(172\) −9.32388 16.1494i −0.710939 1.23138i
\(173\) 12.3860 21.4531i 0.941687 1.63105i 0.179435 0.983770i \(-0.442573\pi\)
0.762252 0.647280i \(-0.224094\pi\)
\(174\) −2.03429 + 2.03429i −0.154219 + 0.154219i
\(175\) 3.21705 0.729681i 0.243186 0.0551587i
\(176\) −2.62955 + 2.62955i −0.198210 + 0.198210i
\(177\) −1.67018 6.23320i −0.125539 0.468516i
\(178\) −7.62946 + 4.40487i −0.571852 + 0.330159i
\(179\) −16.6184 + 9.59464i −1.24212 + 0.717137i −0.969525 0.244992i \(-0.921215\pi\)
−0.272593 + 0.962129i \(0.587881\pi\)
\(180\) −0.638432 + 0.171067i −0.0475859 + 0.0127506i
\(181\) 11.0428 0.820803 0.410401 0.911905i \(-0.365389\pi\)
0.410401 + 0.911905i \(0.365389\pi\)
\(182\) −1.86662 + 6.59963i −0.138363 + 0.489197i
\(183\) −10.6029 −0.783788
\(184\) 6.97293 1.86839i 0.514051 0.137740i
\(185\) −16.3298 + 9.42800i −1.20059 + 0.693161i
\(186\) 3.31354 1.91307i 0.242960 0.140273i
\(187\) −0.419683 1.56628i −0.0306903 0.114538i
\(188\) −11.7050 + 11.7050i −0.853674 + 0.853674i
\(189\) −4.21076 + 13.5855i −0.306288 + 0.988199i
\(190\) −2.70291 + 2.70291i −0.196090 + 0.196090i
\(191\) −5.68132 + 9.84033i −0.411086 + 0.712022i −0.995009 0.0997875i \(-0.968184\pi\)
0.583923 + 0.811809i \(0.301517\pi\)
\(192\) −1.55788 2.69833i −0.112430 0.194735i
\(193\) 12.0487 + 3.22844i 0.867286 + 0.232388i 0.664914 0.746920i \(-0.268468\pi\)
0.202372 + 0.979309i \(0.435135\pi\)
\(194\) 3.58268 6.20538i 0.257221 0.445520i
\(195\) 9.91994 6.06175i 0.710382 0.434091i
\(196\) −10.3504 0.803902i −0.739315 0.0574216i
\(197\) −13.9343 13.9343i −0.992775 0.992775i 0.00719943 0.999974i \(-0.497708\pi\)
−0.999974 + 0.00719943i \(0.997708\pi\)
\(198\) 0.263812 0.456936i 0.0187483 0.0324730i
\(199\) −0.413742 0.716622i −0.0293294 0.0508000i 0.850988 0.525185i \(-0.176004\pi\)
−0.880318 + 0.474385i \(0.842671\pi\)
\(200\) −0.808115 + 3.01593i −0.0571424 + 0.213258i
\(201\) 2.92670 + 10.9226i 0.206434 + 0.770422i
\(202\) 2.39933 + 2.39933i 0.168816 + 0.168816i
\(203\) −6.07592 1.88320i −0.426446 0.132175i
\(204\) −1.25464 −0.0878424
\(205\) −12.6708 7.31551i −0.884970 0.510938i
\(206\) −0.829821 + 3.09694i −0.0578164 + 0.215774i
\(207\) 0.574293 0.331568i 0.0399161 0.0230456i
\(208\) 3.04510 + 2.89700i 0.211139 + 0.200871i
\(209\) 8.75479i 0.605582i
\(210\) −4.16562 4.50170i −0.287455 0.310647i
\(211\) 18.8543 1.29798 0.648992 0.760795i \(-0.275191\pi\)
0.648992 + 0.760795i \(0.275191\pi\)
\(212\) 8.79746 + 5.07921i 0.604212 + 0.348842i
\(213\) −4.33083 1.16044i −0.296744 0.0795122i
\(214\) −3.59337 + 13.4106i −0.245638 + 0.916733i
\(215\) 23.5291 6.30460i 1.60467 0.429970i
\(216\) −9.51928 9.51928i −0.647705 0.647705i
\(217\) 7.15705 + 4.51063i 0.485853 + 0.306201i
\(218\) 7.82512i 0.529984i
\(219\) −0.112581 0.420160i −0.00760755 0.0283918i
\(220\) −4.58294 7.93788i −0.308982 0.535172i
\(221\) −1.75787 + 0.518295i −0.118247 + 0.0348643i
\(222\) −10.0862 5.82327i −0.676941 0.390832i
\(223\) 9.83194 9.83194i 0.658396 0.658396i −0.296605 0.955000i \(-0.595854\pi\)
0.955000 + 0.296605i \(0.0958543\pi\)
\(224\) 8.24753 13.0864i 0.551061 0.874373i
\(225\) 0.286819i 0.0191213i
\(226\) 7.76216 2.07987i 0.516332 0.138351i
\(227\) 15.1225 + 4.05207i 1.00372 + 0.268945i 0.723002 0.690846i \(-0.242762\pi\)
0.280715 + 0.959791i \(0.409428\pi\)
\(228\) 6.54309 + 1.75322i 0.433327 + 0.116110i
\(229\) −4.62362 + 1.23889i −0.305537 + 0.0818684i −0.408330 0.912834i \(-0.633889\pi\)
0.102793 + 0.994703i \(0.467222\pi\)
\(230\) 4.01520i 0.264755i
\(231\) −14.0368 0.544290i −0.923554 0.0358116i
\(232\) 4.25736 4.25736i 0.279509 0.279509i
\(233\) 2.74537 + 1.58504i 0.179855 + 0.103839i 0.587225 0.809424i \(-0.300221\pi\)
−0.407369 + 0.913263i \(0.633554\pi\)
\(234\) −0.523707 0.285205i −0.0342358 0.0186444i
\(235\) −10.8116 18.7263i −0.705271 1.22157i
\(236\) 1.48831 + 5.55444i 0.0968805 + 0.361563i
\(237\) 9.26626i 0.601908i
\(238\) 0.450636 + 0.855453i 0.0292104 + 0.0554508i
\(239\) 7.52256 + 7.52256i 0.486594 + 0.486594i 0.907230 0.420636i \(-0.138193\pi\)
−0.420636 + 0.907230i \(0.638193\pi\)
\(240\) −3.63051 + 0.972793i −0.234349 + 0.0627935i
\(241\) −0.507552 + 1.89421i −0.0326943 + 0.122017i −0.980344 0.197294i \(-0.936785\pi\)
0.947650 + 0.319311i \(0.103451\pi\)
\(242\) −0.571587 0.153156i −0.0367430 0.00984526i
\(243\) −2.06568 1.19262i −0.132514 0.0765068i
\(244\) 9.44829 0.604865
\(245\) 4.51369 12.7880i 0.288369 0.816994i
\(246\) 9.03695i 0.576175i
\(247\) 9.89177 0.246542i 0.629398 0.0156871i
\(248\) −6.93456 + 4.00367i −0.440345 + 0.254233i
\(249\) −3.57092 + 13.3269i −0.226298 + 0.844556i
\(250\) −7.53528 4.35050i −0.476573 0.275150i
\(251\) 1.64155 0.103614 0.0518070 0.998657i \(-0.483502\pi\)
0.0518070 + 0.998657i \(0.483502\pi\)
\(252\) 0.267231 0.862187i 0.0168340 0.0543127i
\(253\) 6.50266 + 6.50266i 0.408819 + 0.408819i
\(254\) −2.74403 10.2409i −0.172176 0.642570i
\(255\) 0.424180 1.58306i 0.0265632 0.0991350i
\(256\) 5.59174 + 9.68517i 0.349483 + 0.605323i
\(257\) −10.9118 + 18.8997i −0.680657 + 1.17893i 0.294124 + 0.955767i \(0.404972\pi\)
−0.974781 + 0.223165i \(0.928361\pi\)
\(258\) 10.6388 + 10.6388i 0.662344 + 0.662344i
\(259\) 0.997779 25.7319i 0.0619990 1.59891i
\(260\) −8.83971 + 5.40166i −0.548216 + 0.334997i
\(261\) 0.276539 0.478980i 0.0171173 0.0296481i
\(262\) 14.0388 + 3.76168i 0.867319 + 0.232397i
\(263\) −8.33334 14.4338i −0.513856 0.890024i −0.999871 0.0160740i \(-0.994883\pi\)
0.486015 0.873950i \(-0.338450\pi\)
\(264\) 6.64798 11.5146i 0.409155 0.708677i
\(265\) −9.38309 + 9.38309i −0.576399 + 0.576399i
\(266\) −1.15472 5.09100i −0.0708007 0.312149i
\(267\) −14.4203 + 14.4203i −0.882509 + 0.882509i
\(268\) −2.60800 9.73319i −0.159309 0.594549i
\(269\) 14.6567 8.46207i 0.893637 0.515942i 0.0185068 0.999829i \(-0.494109\pi\)
0.875130 + 0.483887i \(0.160775\pi\)
\(270\) 6.48463 3.74391i 0.394642 0.227847i
\(271\) −13.4215 + 3.59627i −0.815295 + 0.218458i −0.642289 0.766463i \(-0.722015\pi\)
−0.173007 + 0.984921i \(0.555348\pi\)
\(272\) 0.592522 0.0359269
\(273\) −0.219688 + 15.8751i −0.0132961 + 0.960803i
\(274\) 6.09200 0.368031
\(275\) −3.84198 + 1.02946i −0.231680 + 0.0620785i
\(276\) 6.16212 3.55770i 0.370916 0.214148i
\(277\) 17.0084 9.81980i 1.02194 0.590015i 0.107272 0.994230i \(-0.465789\pi\)
0.914664 + 0.404215i \(0.132455\pi\)
\(278\) −0.452030 1.68700i −0.0271110 0.101180i
\(279\) −0.520121 + 0.520121i −0.0311388 + 0.0311388i
\(280\) 8.71779 + 9.42114i 0.520988 + 0.563021i
\(281\) −17.2002 + 17.2002i −1.02608 + 1.02608i −0.0264298 + 0.999651i \(0.508414\pi\)
−0.999651 + 0.0264298i \(0.991586\pi\)
\(282\) 6.67786 11.5664i 0.397661 0.688769i
\(283\) −5.89745 10.2147i −0.350567 0.607200i 0.635782 0.771869i \(-0.280678\pi\)
−0.986349 + 0.164669i \(0.947345\pi\)
\(284\) 3.85922 + 1.03408i 0.229003 + 0.0613611i
\(285\) −4.42429 + 7.66310i −0.262072 + 0.453923i
\(286\) 1.94067 8.03878i 0.114754 0.475343i
\(287\) 17.6784 9.31267i 1.04353 0.549709i
\(288\) 0.951023 + 0.951023i 0.0560396 + 0.0560396i
\(289\) 8.37082 14.4987i 0.492401 0.852864i
\(290\) 1.67441 + 2.90016i 0.0983247 + 0.170303i
\(291\) 4.29300 16.0217i 0.251660 0.939207i
\(292\) 0.100322 + 0.374406i 0.00587090 + 0.0219105i
\(293\) −18.5497 18.5497i −1.08368 1.08368i −0.996163 0.0875204i \(-0.972106\pi\)
−0.0875204 0.996163i \(-0.527894\pi\)
\(294\) 8.23433 1.53489i 0.480236 0.0895166i
\(295\) −7.51157 −0.437340
\(296\) 21.1084 + 12.1869i 1.22690 + 0.708350i
\(297\) 4.43864 16.5652i 0.257556 0.961212i
\(298\) −3.69495 + 2.13328i −0.214043 + 0.123578i
\(299\) 7.16403 7.53027i 0.414307 0.435487i
\(300\) 3.07755i 0.177682i
\(301\) −9.84866 + 31.7755i −0.567667 + 1.83151i
\(302\) −4.64985 −0.267569
\(303\) 6.80239 + 3.92736i 0.390787 + 0.225621i
\(304\) −3.09007 0.827982i −0.177228 0.0474880i
\(305\) −3.19436 + 11.9215i −0.182908 + 0.682624i
\(306\) −0.0812038 + 0.0217585i −0.00464211 + 0.00124385i
\(307\) −1.29211 1.29211i −0.0737445 0.0737445i 0.669273 0.743017i \(-0.266606\pi\)
−0.743017 + 0.669273i \(0.766606\pi\)
\(308\) 12.5083 + 0.485019i 0.712724 + 0.0276365i
\(309\) 7.42189i 0.422217i
\(310\) −1.15271 4.30198i −0.0654696 0.244336i
\(311\) 1.35809 + 2.35229i 0.0770104 + 0.133386i 0.901959 0.431822i \(-0.142129\pi\)
−0.824948 + 0.565208i \(0.808796\pi\)
\(312\) −13.1972 7.18708i −0.747147 0.406888i
\(313\) −22.0145 12.7101i −1.24433 0.718415i −0.274359 0.961627i \(-0.588466\pi\)
−0.969973 + 0.243212i \(0.921799\pi\)
\(314\) 3.25787 3.25787i 0.183852 0.183852i
\(315\) 0.997529 + 0.628678i 0.0562044 + 0.0354220i
\(316\) 8.25721i 0.464504i
\(317\) −29.3670 + 7.86887i −1.64942 + 0.441960i −0.959449 0.281882i \(-0.909041\pi\)
−0.689967 + 0.723841i \(0.742375\pi\)
\(318\) −7.91684 2.12131i −0.443954 0.118957i
\(319\) 7.40856 + 1.98512i 0.414800 + 0.111145i
\(320\) −3.50325 + 0.938694i −0.195838 + 0.0524746i
\(321\) 32.1390i 1.79382i
\(322\) −4.63904 2.92369i −0.258523 0.162931i
\(323\) 0.986368 0.986368i 0.0548830 0.0548830i
\(324\) −10.6051 6.12288i −0.589174 0.340160i
\(325\) 1.27134 + 4.31195i 0.0705214 + 0.239184i
\(326\) 0.246000 + 0.426084i 0.0136247 + 0.0235986i
\(327\) 4.68828 + 17.4969i 0.259262 + 0.967581i
\(328\) 18.9125i 1.04427i
\(329\) 29.5082 + 1.14421i 1.62684 + 0.0630822i
\(330\) 5.22926 + 5.22926i 0.287862 + 0.287862i
\(331\) −1.82858 + 0.489966i −0.100508 + 0.0269310i −0.308722 0.951152i \(-0.599901\pi\)
0.208215 + 0.978083i \(0.433235\pi\)
\(332\) 3.18207 11.8756i 0.174639 0.651761i
\(333\) 2.16271 + 0.579497i 0.118516 + 0.0317563i
\(334\) 2.17942 + 1.25829i 0.119252 + 0.0688504i
\(335\) 13.1627 0.719157
\(336\) 1.51964 4.90292i 0.0829031 0.267476i
\(337\) 15.8664i 0.864300i 0.901802 + 0.432150i \(0.142245\pi\)
−0.901802 + 0.432150i \(0.857755\pi\)
\(338\) −9.13742 1.96632i −0.497010 0.106954i
\(339\) 16.1100 9.30112i 0.874976 0.505168i
\(340\) −0.377988 + 1.41067i −0.0204993 + 0.0765044i
\(341\) −8.83392 5.10027i −0.478384 0.276195i
\(342\) 0.453892 0.0245437
\(343\) 11.4882 + 14.5266i 0.620303 + 0.784362i
\(344\) −22.2649 22.2649i −1.20044 1.20044i
\(345\) 2.40564 + 8.97796i 0.129515 + 0.483357i
\(346\) 4.60963 17.2034i 0.247815 0.924860i
\(347\) −8.10074 14.0309i −0.434871 0.753218i 0.562414 0.826856i \(-0.309873\pi\)
−0.997285 + 0.0736374i \(0.976539\pi\)
\(348\) 2.96725 5.13942i 0.159061 0.275502i
\(349\) 18.7058 + 18.7058i 1.00130 + 1.00130i 0.999999 + 0.00129933i \(0.000413590\pi\)
0.00129933 + 0.999999i \(0.499586\pi\)
\(350\) 2.09837 1.10538i 0.112163 0.0590851i
\(351\) −18.8415 4.54859i −1.00569 0.242786i
\(352\) −9.32566 + 16.1525i −0.497059 + 0.860932i
\(353\) −22.1601 5.93777i −1.17946 0.316036i −0.384748 0.923022i \(-0.625712\pi\)
−0.794712 + 0.606986i \(0.792378\pi\)
\(354\) −2.31978 4.01799i −0.123295 0.213554i
\(355\) −2.60952 + 4.51982i −0.138499 + 0.239887i
\(356\) 12.8500 12.8500i 0.681049 0.681049i
\(357\) 1.52015 + 1.64279i 0.0804548 + 0.0869459i
\(358\) −9.75560 + 9.75560i −0.515600 + 0.515600i
\(359\) 1.92833 + 7.19663i 0.101773 + 0.379824i 0.997959 0.0638554i \(-0.0203397\pi\)
−0.896186 + 0.443679i \(0.853673\pi\)
\(360\) −0.966518 + 0.558020i −0.0509400 + 0.0294102i
\(361\) 9.93212 5.73431i 0.522743 0.301806i
\(362\) 7.66889 2.05487i 0.403068 0.108002i
\(363\) −1.36982 −0.0718971
\(364\) 0.195765 14.1464i 0.0102609 0.741471i
\(365\) −0.506330 −0.0265025
\(366\) −7.36340 + 1.97302i −0.384891 + 0.103131i
\(367\) −30.3981 + 17.5504i −1.58677 + 0.916122i −0.592934 + 0.805251i \(0.702031\pi\)
−0.993835 + 0.110871i \(0.964636\pi\)
\(368\) −2.91015 + 1.68018i −0.151702 + 0.0875853i
\(369\) 0.449652 + 1.67812i 0.0234080 + 0.0873597i
\(370\) −9.58617 + 9.58617i −0.498361 + 0.498361i
\(371\) −4.00859 17.6733i −0.208116 0.917550i
\(372\) −5.58086 + 5.58086i −0.289354 + 0.289354i
\(373\) 7.82695 13.5567i 0.405264 0.701938i −0.589088 0.808069i \(-0.700513\pi\)
0.994352 + 0.106131i \(0.0338462\pi\)
\(374\) −0.582916 1.00964i −0.0301419 0.0522072i
\(375\) −19.4554 5.21305i −1.00467 0.269201i
\(376\) −13.9754 + 24.2061i −0.720727 + 1.24834i
\(377\) 2.03429 8.42660i 0.104771 0.433992i
\(378\) −0.396223 + 10.2183i −0.0203795 + 0.525572i
\(379\) −17.5478 17.5478i −0.901371 0.901371i 0.0941840 0.995555i \(-0.469976\pi\)
−0.995555 + 0.0941840i \(0.969976\pi\)
\(380\) 3.94251 6.82862i 0.202246 0.350301i
\(381\) −12.2713 21.2545i −0.628676 1.08890i
\(382\) −2.11439 + 7.89102i −0.108182 + 0.403740i
\(383\) 0.255080 + 0.951971i 0.0130340 + 0.0486435i 0.972137 0.234415i \(-0.0753175\pi\)
−0.959103 + 0.283059i \(0.908651\pi\)
\(384\) 12.1771 + 12.1771i 0.621408 + 0.621408i
\(385\) −4.84088 + 15.6185i −0.246714 + 0.795992i
\(386\) 8.96824 0.456471
\(387\) −2.50494 1.44623i −0.127333 0.0735159i
\(388\) −3.82551 + 14.2770i −0.194211 + 0.724805i
\(389\) −4.37916 + 2.52831i −0.222032 + 0.128190i −0.606891 0.794785i \(-0.707584\pi\)
0.384859 + 0.922976i \(0.374250\pi\)
\(390\) 5.76112 6.05564i 0.291726 0.306639i
\(391\) 1.46526i 0.0741013i
\(392\) −17.2328 + 3.21221i −0.870387 + 0.162241i
\(393\) 33.6443 1.69713
\(394\) −12.2699 7.08401i −0.618147 0.356887i
\(395\) 10.4186 + 2.79167i 0.524219 + 0.140464i
\(396\) −0.281693 + 1.05129i −0.0141556 + 0.0528294i
\(397\) −1.12448 + 0.301304i −0.0564361 + 0.0151220i −0.286927 0.957953i \(-0.592634\pi\)
0.230491 + 0.973075i \(0.425967\pi\)
\(398\) −0.420683 0.420683i −0.0210869 0.0210869i
\(399\) −5.63213 10.6916i −0.281959 0.535249i
\(400\) 1.45342i 0.0726709i
\(401\) 0.396969 + 1.48151i 0.0198237 + 0.0739830i 0.975129 0.221638i \(-0.0711402\pi\)
−0.955305 + 0.295621i \(0.904474\pi\)
\(402\) 4.06502 + 7.04083i 0.202745 + 0.351165i
\(403\) −5.51386 + 10.1248i −0.274665 + 0.504352i
\(404\) −6.06164 3.49969i −0.301578 0.174116i
\(405\) 11.3111 11.3111i 0.562053 0.562053i
\(406\) −4.56998 0.177205i −0.226804 0.00879454i
\(407\) 31.0498i 1.53908i
\(408\) −2.04631 + 0.548307i −0.101307 + 0.0271453i
\(409\) 10.3123 + 2.76317i 0.509910 + 0.136630i 0.504595 0.863356i \(-0.331642\pi\)
0.00531434 + 0.999986i \(0.498308\pi\)
\(410\) −10.1608 2.72258i −0.501807 0.134459i
\(411\) 13.6217 3.64991i 0.671907 0.180037i
\(412\) 6.61369i 0.325833i
\(413\) 5.46958 8.67863i 0.269140 0.427047i
\(414\) 0.337130 0.337130i 0.0165691 0.0165691i
\(415\) 13.9084 + 8.03004i 0.682738 + 0.394179i
\(416\) 18.5128 + 10.0819i 0.907667 + 0.494306i
\(417\) −2.02147 3.50129i −0.0989919 0.171459i
\(418\) 1.62912 + 6.07995i 0.0796828 + 0.297380i
\(419\) 11.8652i 0.579653i 0.957079 + 0.289826i \(0.0935976\pi\)
−0.957079 + 0.289826i \(0.906402\pi\)
\(420\) 10.7034 + 6.74567i 0.522273 + 0.329155i
\(421\) 3.15236 + 3.15236i 0.153636 + 0.153636i 0.779740 0.626103i \(-0.215351\pi\)
−0.626103 + 0.779740i \(0.715351\pi\)
\(422\) 13.0938 3.50847i 0.637395 0.170789i
\(423\) −0.664541 + 2.48010i −0.0323111 + 0.120587i
\(424\) 16.5683 + 4.43947i 0.804630 + 0.215600i
\(425\) 0.548846 + 0.316876i 0.0266229 + 0.0153708i
\(426\) −3.22357 −0.156183
\(427\) −11.4477 12.3714i −0.553995 0.598692i
\(428\) 28.6392i 1.38433i
\(429\) −0.476979 19.1374i −0.0230288 0.923961i
\(430\) 15.1671 8.75672i 0.731422 0.422286i
\(431\) 0.316193 1.18005i 0.0152305 0.0568410i −0.957892 0.287127i \(-0.907300\pi\)
0.973123 + 0.230286i \(0.0739663\pi\)
\(432\) 5.42704 + 3.13330i 0.261109 + 0.150751i
\(433\) −18.1346 −0.871493 −0.435747 0.900069i \(-0.643516\pi\)
−0.435747 + 0.900069i \(0.643516\pi\)
\(434\) 5.80972 + 1.80070i 0.278875 + 0.0864361i
\(435\) 5.48154 + 5.48154i 0.262820 + 0.262820i
\(436\) −4.17775 15.5916i −0.200078 0.746701i
\(437\) −2.04753 + 7.64149i −0.0979467 + 0.365542i
\(438\) −0.156369 0.270839i −0.00747161 0.0129412i
\(439\) 15.6253 27.0638i 0.745755 1.29169i −0.204087 0.978953i \(-0.565422\pi\)
0.949841 0.312732i \(-0.101244\pi\)
\(440\) −10.9438 10.9438i −0.521725 0.521725i
\(441\) −1.45271 + 0.694739i −0.0691766 + 0.0330828i
\(442\) −1.12435 + 0.687051i −0.0534797 + 0.0326797i
\(443\) 12.3867 21.4544i 0.588510 1.01933i −0.405918 0.913910i \(-0.633048\pi\)
0.994428 0.105420i \(-0.0336186\pi\)
\(444\) 23.2058 + 6.21797i 1.10130 + 0.295092i
\(445\) 11.8692 + 20.5581i 0.562656 + 0.974549i
\(446\) 4.99844 8.65756i 0.236683 0.409947i
\(447\) −6.98376 + 6.98376i −0.330321 + 0.330321i
\(448\) 1.46637 4.73106i 0.0692795 0.223522i
\(449\) 7.07560 7.07560i 0.333918 0.333918i −0.520154 0.854072i \(-0.674126\pi\)
0.854072 + 0.520154i \(0.174126\pi\)
\(450\) 0.0533721 + 0.199188i 0.00251599 + 0.00938979i
\(451\) −20.8648 + 12.0463i −0.982485 + 0.567238i
\(452\) −14.3557 + 8.28828i −0.675236 + 0.389848i
\(453\) −10.3970 + 2.78587i −0.488495 + 0.130892i
\(454\) 11.2562 0.528278
\(455\) 17.7832 + 5.02973i 0.833688 + 0.235797i
\(456\) 11.4379 0.535631
\(457\) 20.2407 5.42349i 0.946821 0.253700i 0.247808 0.968809i \(-0.420290\pi\)
0.699013 + 0.715109i \(0.253623\pi\)
\(458\) −2.98043 + 1.72075i −0.139266 + 0.0804055i
\(459\) −2.36642 + 1.36625i −0.110455 + 0.0637713i
\(460\) −2.14367 8.00030i −0.0999494 0.373016i
\(461\) 8.07954 8.07954i 0.376302 0.376302i −0.493464 0.869766i \(-0.664270\pi\)
0.869766 + 0.493464i \(0.164270\pi\)
\(462\) −9.84943 + 2.23402i −0.458237 + 0.103936i
\(463\) −0.417027 + 0.417027i −0.0193809 + 0.0193809i −0.716731 0.697350i \(-0.754362\pi\)
0.697350 + 0.716731i \(0.254362\pi\)
\(464\) −1.40133 + 2.42717i −0.0650549 + 0.112678i
\(465\) −5.15490 8.92856i −0.239053 0.414052i
\(466\) 2.20153 + 0.589898i 0.101984 + 0.0273265i
\(467\) −2.80499 + 4.85839i −0.129800 + 0.224819i −0.923599 0.383360i \(-0.874767\pi\)
0.793799 + 0.608180i \(0.208100\pi\)
\(468\) 1.19576 + 0.288671i 0.0552738 + 0.0133438i
\(469\) −9.58449 + 15.2078i −0.442571 + 0.702231i
\(470\) −10.9930 10.9930i −0.507069 0.507069i
\(471\) 5.33267 9.23646i 0.245716 0.425593i
\(472\) 4.85484 + 8.40883i 0.223462 + 0.387048i
\(473\) 10.3816 38.7448i 0.477349 1.78149i
\(474\) 1.72429 + 6.43515i 0.0791994 + 0.295576i
\(475\) −2.41950 2.41950i −0.111014 0.111014i
\(476\) −1.35461 1.46390i −0.0620885 0.0670978i
\(477\) 1.57567 0.0721452
\(478\) 6.62402 + 3.82438i 0.302976 + 0.174923i
\(479\) −3.70453 + 13.8255i −0.169264 + 0.631703i 0.828193 + 0.560442i \(0.189369\pi\)
−0.997458 + 0.0712606i \(0.977298\pi\)
\(480\) −16.3256 + 9.42556i −0.745156 + 0.430216i
\(481\) 35.0822 0.874387i 1.59961 0.0398686i
\(482\) 1.40992i 0.0642201i
\(483\) −12.1245 3.75794i −0.551685 0.170992i
\(484\) 1.22066 0.0554844
\(485\) −16.7208 9.65378i −0.759254 0.438356i
\(486\) −1.65648 0.443853i −0.0751396 0.0201336i
\(487\) −4.08170 + 15.2331i −0.184959 + 0.690278i 0.809680 + 0.586872i \(0.199641\pi\)
−0.994639 + 0.103406i \(0.967026\pi\)
\(488\) 15.4101 4.12913i 0.697583 0.186917i
\(489\) 0.805334 + 0.805334i 0.0364185 + 0.0364185i
\(490\) 0.755001 9.72081i 0.0341075 0.439141i
\(491\) 25.0495i 1.13047i 0.824930 + 0.565234i \(0.191214\pi\)
−0.824930 + 0.565234i \(0.808786\pi\)
\(492\) 4.82473 + 18.0062i 0.217516 + 0.811780i
\(493\) −0.611038 1.05835i −0.0275198 0.0476656i
\(494\) 6.82367 2.01191i 0.307011 0.0905199i
\(495\) −1.23125 0.710860i −0.0553404 0.0319508i
\(496\) 2.63564 2.63564i 0.118344 0.118344i
\(497\) −3.32192 6.30608i −0.149009 0.282866i
\(498\) 9.91961i 0.444509i
\(499\) −22.6437 + 6.06736i −1.01367 + 0.271612i −0.727162 0.686466i \(-0.759161\pi\)
−0.286508 + 0.958078i \(0.592495\pi\)
\(500\) 17.3368 + 4.64537i 0.775324 + 0.207747i
\(501\) 5.62704 + 1.50776i 0.251398 + 0.0673618i
\(502\) 1.14001 0.305465i 0.0508812 0.0136336i
\(503\) 0.879009i 0.0391931i −0.999808 0.0195965i \(-0.993762\pi\)
0.999808 0.0195965i \(-0.00623817\pi\)
\(504\) 0.0590560 1.52301i 0.00263056 0.0678402i
\(505\) 6.46516 6.46516i 0.287696 0.287696i
\(506\) 5.72594 + 3.30587i 0.254549 + 0.146964i
\(507\) −21.6093 + 1.07785i −0.959702 + 0.0478689i
\(508\) 10.9350 + 18.9400i 0.485162 + 0.840325i
\(509\) −2.58398 9.64356i −0.114533 0.427443i 0.884719 0.466126i \(-0.154351\pi\)
−0.999252 + 0.0386826i \(0.987684\pi\)
\(510\) 1.17832i 0.0521769i
\(511\) 0.368686 0.584998i 0.0163097 0.0258788i
\(512\) −8.94753 8.94753i −0.395429 0.395429i
\(513\) 14.2504 3.81837i 0.629169 0.168585i
\(514\) −4.06099 + 15.1558i −0.179122 + 0.668494i
\(515\) 8.34491 + 2.23601i 0.367721 + 0.0985305i
\(516\) −26.8778 15.5179i −1.18323 0.683138i
\(517\) −35.6065 −1.56597
\(518\) −4.09535 18.0558i −0.179939 0.793325i
\(519\) 41.2284i 1.80973i
\(520\) −12.0569 + 12.6732i −0.528728 + 0.555758i
\(521\) −13.4841 + 7.78505i −0.590749 + 0.341069i −0.765394 0.643562i \(-0.777456\pi\)
0.174644 + 0.984632i \(0.444122\pi\)
\(522\) 0.102918 0.384097i 0.00450462 0.0168115i
\(523\) 11.1498 + 6.43737i 0.487549 + 0.281486i 0.723557 0.690265i \(-0.242506\pi\)
−0.236008 + 0.971751i \(0.575839\pi\)
\(524\) −29.9806 −1.30971
\(525\) 4.02967 3.72882i 0.175869 0.162739i
\(526\) −8.47314 8.47314i −0.369447 0.369447i
\(527\) 0.420656 + 1.56991i 0.0183241 + 0.0683864i
\(528\) −1.60188 + 5.97829i −0.0697128 + 0.260172i
\(529\) −7.34506 12.7220i −0.319351 0.553131i
\(530\) −4.77025 + 8.26232i −0.207206 + 0.358892i
\(531\) 0.630697 + 0.630697i 0.0273699 + 0.0273699i
\(532\) 5.01882 + 9.52734i 0.217594 + 0.413062i
\(533\) 14.1983 + 23.2353i 0.614997 + 1.00643i
\(534\) −7.33112 + 12.6979i −0.317248 + 0.549490i
\(535\) 36.1359 + 9.68260i 1.56229 + 0.418615i
\(536\) −8.50727 14.7350i −0.367458 0.636456i
\(537\) −15.9686 + 27.6583i −0.689094 + 1.19355i
\(538\) 8.60403 8.60403i 0.370946 0.370946i
\(539\) −14.5202 16.9657i −0.625430 0.730763i
\(540\) −10.9218 + 10.9218i −0.470000 + 0.470000i
\(541\) −4.11014 15.3392i −0.176709 0.659485i −0.996254 0.0864715i \(-0.972441\pi\)
0.819546 0.573014i \(-0.194226\pi\)
\(542\) −8.65161 + 4.99501i −0.371618 + 0.214554i
\(543\) 15.9164 9.18935i 0.683039 0.394353i
\(544\) 2.87053 0.769155i 0.123073 0.0329772i
\(545\) 21.0853 0.903197
\(546\) 2.80151 + 11.0657i 0.119894 + 0.473566i
\(547\) 29.5180 1.26210 0.631048 0.775743i \(-0.282625\pi\)
0.631048 + 0.775743i \(0.282625\pi\)
\(548\) −12.1383 + 3.25245i −0.518524 + 0.138938i
\(549\) 1.26918 0.732762i 0.0541673 0.0312735i
\(550\) −2.47658 + 1.42985i −0.105602 + 0.0609692i
\(551\) 1.70771 + 6.37327i 0.0727510 + 0.271510i
\(552\) 8.49558 8.49558i 0.361596 0.361596i
\(553\) −10.8118 + 10.0046i −0.459764 + 0.425439i
\(554\) 9.98454 9.98454i 0.424203 0.424203i
\(555\) −15.6912 + 27.1780i −0.666055 + 1.15364i
\(556\) 1.80134 + 3.12002i 0.0763940 + 0.132318i
\(557\) 1.96111 + 0.525477i 0.0830947 + 0.0222652i 0.300127 0.953899i \(-0.402971\pi\)
−0.217032 + 0.976164i \(0.569638\pi\)
\(558\) −0.264423 + 0.457995i −0.0111939 + 0.0193885i
\(559\) −44.0689 10.6388i −1.86392 0.449974i
\(560\) −5.05484 3.18574i −0.213606 0.134622i
\(561\) −1.90830 1.90830i −0.0805686 0.0805686i
\(562\) −8.74440 + 15.1457i −0.368860 + 0.638885i
\(563\) −11.9044 20.6190i −0.501711 0.868988i −0.999998 0.00197638i \(-0.999371\pi\)
0.498287 0.867012i \(-0.333962\pi\)
\(564\) −7.13048 + 26.6113i −0.300247 + 1.12054i
\(565\) −5.60434 20.9157i −0.235777 0.879930i
\(566\) −5.99639 5.99639i −0.252047 0.252047i
\(567\) 4.83226 + 21.3047i 0.202936 + 0.894714i
\(568\) 6.74629 0.283068
\(569\) 19.7784 + 11.4191i 0.829154 + 0.478712i 0.853563 0.520990i \(-0.174437\pi\)
−0.0244092 + 0.999702i \(0.507770\pi\)
\(570\) −1.64657 + 6.14508i −0.0689672 + 0.257389i
\(571\) 14.3799 8.30223i 0.601779 0.347437i −0.167962 0.985793i \(-0.553719\pi\)
0.769741 + 0.638356i \(0.220385\pi\)
\(572\) 0.425038 + 17.0534i 0.0177717 + 0.713039i
\(573\) 18.9111i 0.790021i
\(574\) 10.5442 9.75703i 0.440108 0.407251i
\(575\) −3.59418 −0.149888
\(576\) 0.372961 + 0.215329i 0.0155401 + 0.00897206i
\(577\) −23.7838 6.37286i −0.990134 0.265306i −0.272827 0.962063i \(-0.587959\pi\)
−0.717307 + 0.696757i \(0.754625\pi\)
\(578\) 3.11533 11.6266i 0.129581 0.483602i
\(579\) 20.0529 5.37316i 0.833371 0.223301i
\(580\) −4.88463 4.88463i −0.202823 0.202823i
\(581\) −19.4051 + 10.2223i −0.805061 + 0.424091i
\(582\) 11.9254i 0.494325i
\(583\) 5.65543 + 21.1064i 0.234224 + 0.874136i
\(584\) 0.327249 + 0.566812i 0.0135417 + 0.0234548i
\(585\) −0.768506 + 1.41116i −0.0317738 + 0.0583445i
\(586\) −16.3340 9.43043i −0.674751 0.389567i
\(587\) 30.7522 30.7522i 1.26928 1.26928i 0.322819 0.946461i \(-0.395369\pi\)
0.946461 0.322819i \(-0.104631\pi\)
\(588\) −15.5875 + 7.45450i −0.642816 + 0.307418i
\(589\) 8.77508i 0.361571i
\(590\) −5.21657 + 1.39777i −0.214763 + 0.0575455i
\(591\) −31.6796 8.48851i −1.30312 0.349171i
\(592\) −10.9593 2.93653i −0.450423 0.120690i
\(593\) 9.51478 2.54948i 0.390725 0.104694i −0.0581076 0.998310i \(-0.518507\pi\)
0.448833 + 0.893616i \(0.351840\pi\)
\(594\) 12.3300i 0.505907i
\(595\) 2.30508 1.21427i 0.0944990 0.0497803i
\(596\) 6.22327 6.22327i 0.254915 0.254915i
\(597\) −1.19269 0.688599i −0.0488135 0.0281825i
\(598\) 3.57396 6.56266i 0.146150 0.268367i
\(599\) 20.3493 + 35.2461i 0.831452 + 1.44012i 0.896887 + 0.442260i \(0.145823\pi\)
−0.0654350 + 0.997857i \(0.520844\pi\)
\(600\) 1.34496 + 5.01946i 0.0549078 + 0.204919i
\(601\) 10.7311i 0.437731i −0.975755 0.218865i \(-0.929764\pi\)
0.975755 0.218865i \(-0.0702356\pi\)
\(602\) −0.926736 + 23.8998i −0.0377710 + 0.974083i
\(603\) −1.10519 1.10519i −0.0450068 0.0450068i
\(604\) 9.26484 2.48251i 0.376981 0.101012i
\(605\) −0.412690 + 1.54018i −0.0167782 + 0.0626173i
\(606\) 5.45488 + 1.46163i 0.221589 + 0.0593747i
\(607\) −10.0602 5.80826i −0.408331 0.235750i 0.281742 0.959490i \(-0.409088\pi\)
−0.690072 + 0.723741i \(0.742421\pi\)
\(608\) −16.0449 −0.650708
\(609\) −10.3246 + 2.34179i −0.418374 + 0.0948942i
\(610\) 8.87356i 0.359280i
\(611\) 1.00271 + 40.2307i 0.0405652 + 1.62756i
\(612\) 0.150182 0.0867077i 0.00607076 0.00350495i
\(613\) 5.19678 19.3947i 0.209896 0.783343i −0.778005 0.628258i \(-0.783768\pi\)
0.987901 0.155085i \(-0.0495651\pi\)
\(614\) −1.13777 0.656892i −0.0459167 0.0265100i
\(615\) −24.3507 −0.981915
\(616\) 20.6129 4.67534i 0.830516 0.188375i
\(617\) −2.09240 2.09240i −0.0842369 0.0842369i 0.663733 0.747970i \(-0.268971\pi\)
−0.747970 + 0.663733i \(0.768971\pi\)
\(618\) 1.38109 + 5.15429i 0.0555555 + 0.207336i
\(619\) 9.21770 34.4009i 0.370491 1.38269i −0.489332 0.872098i \(-0.662759\pi\)
0.859823 0.510593i \(-0.170574\pi\)
\(620\) 4.59356 + 7.95628i 0.184482 + 0.319532i
\(621\) 7.74840 13.4206i 0.310933 0.538551i
\(622\) 1.38088 + 1.38088i 0.0553681 + 0.0553681i
\(623\) −32.3948 1.25614i −1.29787 0.0503262i
\(624\) 6.79979 + 1.64156i 0.272210 + 0.0657149i
\(625\) −8.60568 + 14.9055i −0.344227 + 0.596219i
\(626\) −17.6535 4.73025i −0.705578 0.189059i
\(627\) 7.28539 + 12.6187i 0.290950 + 0.503941i
\(628\) −4.75197 + 8.23065i −0.189624 + 0.328439i
\(629\) 3.49826 3.49826i 0.139485 0.139485i
\(630\) 0.809741 + 0.250976i 0.0322609 + 0.00999910i
\(631\) 9.03483 9.03483i 0.359671 0.359671i −0.504021 0.863692i \(-0.668146\pi\)
0.863692 + 0.504021i \(0.168146\pi\)
\(632\) −3.60859 13.4675i −0.143542 0.535707i
\(633\) 27.1755 15.6898i 1.08013 0.623613i
\(634\) −18.9303 + 10.9294i −0.751817 + 0.434062i
\(635\) −27.5948 + 7.39399i −1.09506 + 0.293422i
\(636\) 16.9069 0.670401
\(637\) −18.7601 + 16.8837i −0.743302 + 0.668956i
\(638\) 5.51443 0.218318
\(639\) 0.598604 0.160396i 0.0236804 0.00634515i
\(640\) 17.3601 10.0228i 0.686217 0.396187i
\(641\) −15.8985 + 9.17899i −0.627952 + 0.362548i −0.779958 0.625831i \(-0.784760\pi\)
0.152007 + 0.988379i \(0.451426\pi\)
\(642\) 5.98052 + 22.3196i 0.236032 + 0.880884i
\(643\) 29.9544 29.9544i 1.18129 1.18129i 0.201874 0.979412i \(-0.435297\pi\)
0.979412 0.201874i \(-0.0647030\pi\)
\(644\) 10.8042 + 3.34872i 0.425746 + 0.131958i
\(645\) 28.6670 28.6670i 1.12876 1.12876i
\(646\) 0.501458 0.868551i 0.0197296 0.0341727i
\(647\) 9.86908 + 17.0937i 0.387993 + 0.672024i 0.992180 0.124819i \(-0.0398350\pi\)
−0.604186 + 0.796843i \(0.706502\pi\)
\(648\) −19.9728 5.35168i −0.784604 0.210234i
\(649\) −6.18457 + 10.7120i −0.242766 + 0.420482i
\(650\) 1.68529 + 2.75795i 0.0661025 + 0.108176i
\(651\) 14.0693 + 0.545551i 0.551421 + 0.0213818i
\(652\) −0.717637 0.717637i −0.0281049 0.0281049i
\(653\) 0.0419432 0.0726478i 0.00164136 0.00284293i −0.865204 0.501421i \(-0.832811\pi\)
0.866845 + 0.498578i \(0.166144\pi\)
\(654\) 6.51175 + 11.2787i 0.254630 + 0.441031i
\(655\) 10.1361 37.8285i 0.396051 1.47808i
\(656\) −2.27855 8.50367i −0.0889625 0.332013i
\(657\) 0.0425133 + 0.0425133i 0.00165860 + 0.00165860i
\(658\) 20.7055 4.69636i 0.807185 0.183083i
\(659\) 40.2054 1.56618 0.783089 0.621909i \(-0.213643\pi\)
0.783089 + 0.621909i \(0.213643\pi\)
\(660\) −13.2112 7.62747i −0.514244 0.296899i
\(661\) 6.89030 25.7149i 0.268001 1.00020i −0.692386 0.721527i \(-0.743440\pi\)
0.960388 0.278668i \(-0.0898929\pi\)
\(662\) −1.17872 + 0.680535i −0.0458123 + 0.0264497i
\(663\) −2.10239 + 2.20987i −0.0816502 + 0.0858243i
\(664\) 20.7597i 0.805634i
\(665\) −13.7181 + 3.11148i −0.531963 + 0.120658i
\(666\) 1.60978 0.0623776
\(667\) 6.00218 + 3.46536i 0.232405 + 0.134179i
\(668\) −5.01428 1.34357i −0.194008 0.0519844i
\(669\) 5.98946 22.3530i 0.231566 0.864215i
\(670\) 9.14113 2.44936i 0.353153 0.0946270i
\(671\) 14.3708 + 14.3708i 0.554779 + 0.554779i
\(672\) 0.997521 25.7253i 0.0384802 0.992374i
\(673\) 2.18487i 0.0842204i 0.999113 + 0.0421102i \(0.0134081\pi\)
−0.999113 + 0.0421102i \(0.986592\pi\)
\(674\) 2.95247 + 11.0188i 0.113725 + 0.424428i
\(675\) 3.35133 + 5.80468i 0.128993 + 0.223422i
\(676\) 19.2561 0.960475i 0.740621 0.0369413i
\(677\) −3.62597 2.09346i −0.139357 0.0804580i 0.428700 0.903447i \(-0.358972\pi\)
−0.568058 + 0.822989i \(0.692305\pi\)
\(678\) 9.45716 9.45716i 0.363200 0.363200i
\(679\) 23.3290 12.2893i 0.895285 0.471619i
\(680\) 2.46599i 0.0945663i
\(681\) 25.1687 6.74393i 0.964467 0.258428i
\(682\) −7.08397 1.89814i −0.271259 0.0726837i
\(683\) 11.4923 + 3.07935i 0.439740 + 0.117828i 0.471895 0.881655i \(-0.343570\pi\)
−0.0321547 + 0.999483i \(0.510237\pi\)
\(684\) −0.904382 + 0.242328i −0.0345799 + 0.00926566i
\(685\) 16.4153i 0.627197i
\(686\) 10.6814 + 7.95055i 0.407816 + 0.303553i
\(687\) −5.63326 + 5.63326i −0.214922 + 0.214922i
\(688\) 12.6934 + 7.32856i 0.483933 + 0.279399i
\(689\) 23.6882 6.98427i 0.902447 0.266080i
\(690\) 3.34129 + 5.78728i 0.127201 + 0.220318i
\(691\) 9.70177 + 36.2075i 0.369073 + 1.37740i 0.861815 + 0.507223i \(0.169328\pi\)
−0.492742 + 0.870175i \(0.664005\pi\)
\(692\) 36.7388i 1.39660i
\(693\) 1.71784 0.904926i 0.0652554 0.0343753i
\(694\) −8.23664 8.23664i −0.312659 0.312659i
\(695\) −4.54574 + 1.21803i −0.172430 + 0.0462024i
\(696\) 2.59351 9.67912i 0.0983068 0.366886i
\(697\) 3.70797 + 0.993546i 0.140449 + 0.0376333i
\(698\) 16.4715 + 9.50980i 0.623454 + 0.359951i
\(699\) 5.27603 0.199558
\(700\) −3.59086 + 3.32277i −0.135722 + 0.125589i
\(701\) 31.0974i 1.17453i 0.809394 + 0.587266i \(0.199796\pi\)
−0.809394 + 0.587266i \(0.800204\pi\)
\(702\) −13.9313 + 0.347223i −0.525803 + 0.0131051i
\(703\) −23.1322 + 13.3554i −0.872449 + 0.503709i
\(704\) −1.54573 + 5.76873i −0.0582568 + 0.217417i
\(705\) −31.1665 17.9940i −1.17380 0.677692i
\(706\) −16.4944 −0.620776
\(707\) 2.76201 + 12.1773i 0.103876 + 0.457973i
\(708\) 6.76734 + 6.76734i 0.254332 + 0.254332i
\(709\) 3.92057 + 14.6318i 0.147240 + 0.549508i 0.999645 + 0.0266262i \(0.00847640\pi\)
−0.852405 + 0.522882i \(0.824857\pi\)
\(710\) −0.971174 + 3.62447i −0.0364475 + 0.136024i
\(711\) −0.640388 1.10918i −0.0240164 0.0415977i
\(712\) 15.3425 26.5741i 0.574986 0.995905i
\(713\) −6.51773 6.51773i −0.244091 0.244091i
\(714\) 1.36140 + 0.857999i 0.0509489 + 0.0321098i
\(715\) −21.6611 5.22926i −0.810078 0.195563i
\(716\) 14.2297 24.6465i 0.531787 0.921082i
\(717\) 17.1026 + 4.58262i 0.638707 + 0.171141i
\(718\) 2.67834 + 4.63902i 0.0999548 + 0.173127i
\(719\) −10.7088 + 18.5482i −0.399371 + 0.691732i −0.993648 0.112529i \(-0.964105\pi\)
0.594277 + 0.804260i \(0.297438\pi\)
\(720\) 0.367348 0.367348i 0.0136903 0.0136903i
\(721\) −8.65980 + 8.01328i −0.322508 + 0.298430i
\(722\) 5.83051 5.83051i 0.216989 0.216989i
\(723\) 0.844729 + 3.15257i 0.0314158 + 0.117245i
\(724\) −14.1832 + 8.18868i −0.527115 + 0.304330i
\(725\) −2.59606 + 1.49884i −0.0964152 + 0.0556654i
\(726\) −0.951303 + 0.254901i −0.0353062 + 0.00946026i
\(727\) −39.0080 −1.44673 −0.723363 0.690468i \(-0.757405\pi\)
−0.723363 + 0.690468i \(0.757405\pi\)
\(728\) −5.86300 23.1582i −0.217297 0.858299i
\(729\) −28.7407 −1.06447
\(730\) −0.351632 + 0.0942194i −0.0130145 + 0.00348722i
\(731\) −5.53489 + 3.19557i −0.204715 + 0.118192i
\(732\) 13.6182 7.86249i 0.503344 0.290606i
\(733\) 0.430322 + 1.60598i 0.0158943 + 0.0593183i 0.973418 0.229038i \(-0.0735580\pi\)
−0.957523 + 0.288356i \(0.906891\pi\)
\(734\) −17.8448 + 17.8448i −0.658663 + 0.658663i
\(735\) −4.13587 22.1880i −0.152554 0.818416i
\(736\) −11.9174 + 11.9174i −0.439283 + 0.439283i
\(737\) 10.8374 18.7709i 0.399200 0.691435i
\(738\) 0.624541 + 1.08174i 0.0229897 + 0.0398193i
\(739\) −34.9673 9.36946i −1.28629 0.344661i −0.450042 0.893008i \(-0.648591\pi\)
−0.836251 + 0.548346i \(0.815258\pi\)
\(740\) 13.9825 24.2184i 0.514007 0.890287i
\(741\) 14.0523 8.58688i 0.516223 0.315447i
\(742\) −6.07254 11.5276i −0.222930 0.423193i
\(743\) −2.82866 2.82866i −0.103773 0.103773i 0.653314 0.757087i \(-0.273378\pi\)
−0.757087 + 0.653314i \(0.773378\pi\)
\(744\) −6.66339 + 11.5413i −0.244292 + 0.423125i
\(745\) 5.74828 + 9.95631i 0.210601 + 0.364771i
\(746\) 2.91292 10.8712i 0.106650 0.398022i
\(747\) −0.493571 1.84203i −0.0180588 0.0673964i
\(748\) 1.70050 + 1.70050i 0.0621764 + 0.0621764i
\(749\) −37.4995 + 34.6999i −1.37020 + 1.26791i
\(750\) −14.4812 −0.528780
\(751\) 11.5377 + 6.66132i 0.421018 + 0.243075i 0.695513 0.718514i \(-0.255177\pi\)
−0.274495 + 0.961589i \(0.588511\pi\)
\(752\) 3.36747 12.5676i 0.122799 0.458293i
\(753\) 2.36604 1.36604i 0.0862234 0.0497811i
\(754\) −0.155291 6.23058i −0.00565535 0.226904i
\(755\) 12.5293i 0.455989i
\(756\) −4.66596 20.5715i −0.169699 0.748178i
\(757\) 16.0291 0.582587 0.291294 0.956634i \(-0.405914\pi\)
0.291294 + 0.956634i \(0.405914\pi\)
\(758\) −15.4518 8.92110i −0.561235 0.324029i
\(759\) 14.7838 + 3.96131i 0.536618 + 0.143786i
\(760\) 3.44594 12.8604i 0.124997 0.466496i
\(761\) −6.69953 + 1.79513i −0.242858 + 0.0650735i −0.378195 0.925726i \(-0.623455\pi\)
0.135337 + 0.990800i \(0.456788\pi\)
\(762\) −12.4771 12.4771i −0.451999 0.451999i
\(763\) −15.3534 + 24.3613i −0.555829 + 0.881939i
\(764\) 16.8517i 0.609675i
\(765\) 0.0586298 + 0.218809i 0.00211976 + 0.00791107i
\(766\) 0.354291 + 0.613650i 0.0128011 + 0.0221721i
\(767\) 12.2773 + 6.68609i 0.443308 + 0.241421i
\(768\) 16.1192 + 9.30643i 0.581652 + 0.335817i
\(769\) −12.5271 + 12.5271i −0.451740 + 0.451740i −0.895932 0.444192i \(-0.853491\pi\)
0.444192 + 0.895932i \(0.353491\pi\)
\(770\) −0.455516 + 11.7474i −0.0164157 + 0.423347i
\(771\) 36.3213i 1.30808i
\(772\) −17.8692 + 4.78805i −0.643128 + 0.172326i
\(773\) −47.2874 12.6706i −1.70081 0.455730i