Properties

Label 91.2.bb.a.31.5
Level $91$
Weight $2$
Character 91.31
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 31.5
Character \(\chi\) \(=\) 91.31
Dual form 91.2.bb.a.47.5

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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 0.495850 0.868408i \(-0.334856\pi\)
−0.00478511 + 0.999989i \(0.501523\pi\)
\(3\) 1.44134 + 0.832160i 0.832160 + 0.480448i 0.854592 0.519301i \(-0.173808\pi\)
−0.0224319 + 0.999748i \(0.507141\pi\)
\(4\) −1.28439 0.741542i −0.642194 0.370771i
\(5\) −0.501414 + 1.87130i −0.224239 + 0.836871i 0.758469 + 0.651709i \(0.225948\pi\)
−0.982708 + 0.185162i \(0.940719\pi\)
\(6\) 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 −0.691465 0.722410i \(-0.743034\pi\)
−0.237621 + 0.971358i \(0.576368\pi\)
\(12\) −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 −0.833559 0.552431i \(-0.813700\pi\)
0.895199 + 0.445667i \(0.147034\pi\)
\(18\) −0.0428067 0.159757i −0.0100896 0.0376550i
\(19\) −0.710286 + 2.65082i −0.162951 + 0.608141i 0.835342 + 0.549731i \(0.185270\pi\)
−0.998293 + 0.0584100i \(0.981397\pi\)
\(20\) 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 −0.737160 0.675718i \(-0.763834\pi\)
0.216609 + 0.976259i \(0.430500\pi\)
\(24\) −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 0.0294427 0.999566i \(-0.490627\pi\)
0.525281 + 0.850929i \(0.323960\pi\)
\(32\) 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 0.372418 + 0.928065i \(0.378529\pi\)
−0.786556 + 0.617519i \(0.788138\pi\)
\(38\) −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 0.988062 0.154058i \(-0.0492342\pi\)
−0.154058 + 0.988062i \(0.549234\pi\)
\(42\) 2.80102 + 1.47552i 0.432206 + 0.227678i
\(43\) 12.5736i 1.91746i −0.284313 0.958732i \(-0.591765\pi\)
0.284313 0.958732i \(-0.408235\pi\)
\(44\) 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 0.936622 0.350342i \(-0.113935\pi\)
0.635967 + 0.771716i \(0.280601\pi\)
\(48\) 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 −0.999428 0.0338167i \(-0.989234\pi\)
0.529000 + 0.848622i \(0.322567\pi\)
\(54\) 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 0.999978 0.00664837i \(-0.00211626\pi\)
−0.869330 + 0.494231i \(0.835450\pi\)
\(60\) 4.61898 1.23765i 0.596307 0.159780i
\(61\) −5.51719 + 3.18535i −0.706404 + 0.407843i −0.809728 0.586805i \(-0.800386\pi\)
0.103324 + 0.994648i \(0.467052\pi\)
\(62\) 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 −0.986225 0.165412i \(-0.947105\pi\)
0.771390 0.636363i \(-0.219562\pi\)
\(68\) −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 −0.811049 0.584978i \(-0.801103\pi\)
0.584978 + 0.811049i \(0.301103\pi\)
\(72\) −0.149099 + 0.556446i −0.0175715 + 0.0655778i
\(73\) 0.0676442 + 0.252451i 0.00791715 + 0.0295472i 0.969771 0.244015i \(-0.0784647\pi\)
−0.961854 + 0.273562i \(0.911798\pi\)
\(74\) −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 0.665852 0.746084i \(-0.268068\pi\)
−0.979054 + 0.203603i \(0.934735\pi\)
\(80\) −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 0.307975 0.951394i \(-0.400349\pi\)
−0.951394 + 0.307975i \(0.900349\pi\)
\(84\) −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 −0.430482 0.902599i \(-0.641656\pi\)
−0.824108 + 0.566433i \(0.808323\pi\)
\(90\) 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 0.967686 0.252158i \(-0.0811403\pi\)
−0.252158 + 0.967686i \(0.581140\pi\)
\(98\) 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 −0.724412 0.689367i \(-0.757889\pi\)
0.959215 + 0.282676i \(0.0912222\pi\)
\(102\) 0.587500 0.157420i 0.0581711 0.0155869i
\(103\) −2.22971 3.86197i −0.219700 0.380531i 0.735016 0.678049i \(-0.237174\pi\)
−0.954716 + 0.297518i \(0.903841\pi\)
\(104\) −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 −0.777440 0.628957i \(-0.783482\pi\)
−0.155973 0.987761i \(-0.549851\pi\)
\(108\) −3.98639 + 6.90464i −0.383591 + 0.664399i
\(109\) −2.81694 10.5129i −0.269813 1.00696i −0.959238 0.282600i \(-0.908803\pi\)
0.689424 0.724358i \(-0.257864\pi\)
\(110\) 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 \(0.227020\pi\)
−0.756269 + 0.654261i \(0.772980\pi\)
\(128\) 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 0.530194 0.847877i \(-0.322119\pi\)
0.999379 0.0352230i \(-0.0112141\pi\)
\(132\) 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 0.108356 0.994112i \(-0.465441\pi\)
0.590895 + 0.806748i \(0.298775\pi\)
\(138\) −3.33187 0.892772i −0.283628 0.0759978i
\(139\) 2.42919i 0.206041i 0.994679 + 0.103021i \(0.0328507\pi\)
−0.994679 + 0.103021i \(0.967149\pi\)
\(140\) 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 0.0162614 0.999868i \(-0.494824\pi\)
−0.485851 + 0.874042i \(0.661490\pi\)
\(150\) 0.386141 + 1.44110i 0.0315283 + 0.117665i
\(151\) −6.24701 + 1.67388i −0.508374 + 0.136219i −0.503884 0.863771i \(-0.668096\pi\)
−0.00449055 + 0.999990i \(0.501429\pi\)
\(152\) 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 0.704833 0.709374i \(-0.251022\pi\)
−0.261919 + 0.965090i \(0.584355\pi\)
\(158\) −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 −0.958643 0.284613i \(-0.908135\pi\)
0.972515 + 0.232840i \(0.0748017\pi\)
\(164\) −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 −0.604830 0.796355i \(-0.706759\pi\)
0.796355 + 0.604830i \(0.206759\pi\)
\(168\) −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 0.762252 + 0.647280i \(0.224094\pi\)
0.179435 + 0.983770i \(0.442573\pi\)
\(174\) −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 −0.272593 0.962129i \(-0.587881\pi\)
−0.969525 + 0.244992i \(0.921215\pi\)
\(180\) −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 0.583923 0.811809i \(-0.301517\pi\)
−0.995009 + 0.0997875i \(0.968184\pi\)
\(192\) −1.55788 + 2.69833i −0.112430 + 0.194735i
\(193\) 12.0487 3.22844i 0.867286 0.232388i 0.202372 0.979309i \(-0.435135\pi\)
0.664914 + 0.746920i \(0.268468\pi\)
\(194\) 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 −0.999974 0.00719943i \(-0.997708\pi\)
0.00719943 + 0.999974i \(0.497708\pi\)
\(198\) 0.263812 + 0.456936i 0.0187483 + 0.0324730i
\(199\) −0.413742 + 0.716622i −0.0293294 + 0.0508000i −0.880318 0.474385i \(-0.842671\pi\)
0.850988 + 0.525185i \(0.176004\pi\)
\(200\) −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 0.955000 0.296605i \(-0.0958543\pi\)
−0.296605 + 0.955000i \(0.595854\pi\)
\(224\) 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 0.280715 0.959791i \(-0.409428\pi\)
0.723002 + 0.690846i \(0.242762\pi\)
\(228\) 6.54309 1.75322i 0.433327 0.116110i
\(229\) −4.62362 1.23889i −0.305537 0.0818684i 0.102793 0.994703i \(-0.467222\pi\)
−0.408330 + 0.912834i \(0.633889\pi\)
\(230\) 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 −0.407369 0.913263i \(-0.633554\pi\)
0.587225 + 0.809424i \(0.300221\pi\)
\(234\) −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 −0.420636 0.907230i \(-0.638193\pi\)
0.907230 + 0.420636i \(0.138193\pi\)
\(240\) −3.63051 0.972793i −0.234349 0.0627935i
\(241\) −0.507552 1.89421i −0.0326943 0.122017i 0.947650 0.319311i \(-0.103451\pi\)
−0.980344 + 0.197294i \(0.936785\pi\)
\(242\) −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 −0.974781 0.223165i \(-0.928361\pi\)
0.294124 0.955767i \(-0.404972\pi\)
\(258\) 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 0.486015 + 0.873950i \(0.338450\pi\)
−0.999871 + 0.0160740i \(0.994883\pi\)
\(264\) 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 0.875130 0.483887i \(-0.160775\pi\)
0.0185068 + 0.999829i \(0.494109\pi\)
\(270\) 6.48463 + 3.74391i 0.394642 + 0.227847i
\(271\) −13.4215 3.59627i −0.815295 0.218458i −0.173007 0.984921i \(-0.555348\pi\)
−0.642289 + 0.766463i \(0.722015\pi\)
\(272\) 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 0.914664 0.404215i \(-0.132455\pi\)
0.107272 + 0.994230i \(0.465789\pi\)
\(278\) −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 −0.999651 0.0264298i \(-0.991586\pi\)
−0.0264298 0.999651i \(-0.508414\pi\)
\(282\) 6.67786 + 11.5664i 0.397661 + 0.688769i
\(283\) −5.89745 + 10.2147i −0.350567 + 0.607200i −0.986349 0.164669i \(-0.947345\pi\)
0.635782 + 0.771869i \(0.280678\pi\)
\(284\) 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 −0.0875204 + 0.996163i \(0.527894\pi\)
−0.996163 + 0.0875204i \(0.972106\pi\)
\(294\) 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 −0.743017 0.669273i \(-0.766606\pi\)
0.669273 + 0.743017i \(0.266606\pi\)
\(308\) 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 −0.824948 0.565208i \(-0.808796\pi\)
0.901959 + 0.431822i \(0.142129\pi\)
\(312\) −13.1972 + 7.18708i −0.747147 + 0.406888i
\(313\) −22.0145 + 12.7101i −1.24433 + 0.718415i −0.969973 0.243212i \(-0.921799\pi\)
−0.274359 + 0.961627i \(0.588466\pi\)
\(314\) 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 −0.689967 0.723841i \(-0.742375\pi\)
−0.959449 + 0.281882i \(0.909041\pi\)
\(318\) −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 0.208215 0.978083i \(-0.433235\pi\)
−0.308722 + 0.951152i \(0.599901\pi\)
\(332\) 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 \(-0.857755\pi\)
0.901802 0.432150i \(-0.142245\pi\)
\(338\) −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 −0.997285 0.0736374i \(-0.976539\pi\)
0.562414 + 0.826856i \(0.309873\pi\)
\(348\) 2.96725 + 5.13942i 0.159061 + 0.275502i
\(349\) 18.7058 18.7058i 1.00130 1.00130i 0.00129933 0.999999i \(-0.499586\pi\)
0.999999 0.00129933i \(-0.000413590\pi\)
\(350\) 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 −0.794712 0.606986i \(-0.792378\pi\)
−0.384748 + 0.923022i \(0.625712\pi\)
\(354\) −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 −0.896186 0.443679i \(-0.853673\pi\)
0.997959 + 0.0638554i \(0.0203397\pi\)
\(360\) −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 −0.993835 0.110871i \(-0.964636\pi\)
−0.592934 0.805251i \(-0.702031\pi\)
\(368\) −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 0.994352 0.106131i \(-0.0338462\pi\)
−0.589088 + 0.808069i \(0.700513\pi\)
\(374\) −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 −0.995555 0.0941840i \(-0.969976\pi\)
0.0941840 + 0.995555i \(0.469976\pi\)
\(380\) 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 −0.959103 0.283059i \(-0.908651\pi\)
0.972137 + 0.234415i \(0.0753175\pi\)
\(384\) 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 0.384859 0.922976i \(-0.374250\pi\)
−0.606891 + 0.794785i \(0.707584\pi\)
\(390\) 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 0.230491 0.973075i \(-0.425967\pi\)
−0.286927 + 0.957953i \(0.592634\pi\)
\(398\) −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 −0.955305 0.295621i \(-0.904474\pi\)
0.975129 + 0.221638i \(0.0711402\pi\)
\(402\) 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 0.00531434 0.999986i \(-0.498308\pi\)
0.504595 + 0.863356i \(0.331642\pi\)
\(410\) −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 \(-0.906402\pi\)
0.957079 0.289826i \(-0.0935976\pi\)
\(420\) 10.7034 6.74567i 0.522273 0.329155i
\(421\) 3.15236 3.15236i 0.153636 0.153636i −0.626103 0.779740i \(-0.715351\pi\)
0.779740 + 0.626103i \(0.215351\pi\)
\(422\) 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 0.973123 0.230286i \(-0.0739663\pi\)
−0.957892 + 0.287127i \(0.907300\pi\)
\(432\) 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 0.949841 + 0.312732i \(0.101244\pi\)
−0.204087 + 0.978953i \(0.565422\pi\)
\(440\) −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 0.994428 + 0.105420i \(0.0336186\pi\)
−0.405918 + 0.913910i \(0.633048\pi\)
\(444\) 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 0.854072 0.520154i \(-0.174126\pi\)
−0.520154 + 0.854072i \(0.674126\pi\)
\(450\) 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 0.699013 0.715109i \(-0.253623\pi\)
0.247808 + 0.968809i \(0.420290\pi\)
\(458\) −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 0.869766 0.493464i \(-0.164270\pi\)
−0.493464 + 0.869766i \(0.664270\pi\)
\(462\) −9.84943 2.23402i −0.458237 0.103936i
\(463\) −0.417027 0.417027i −0.0193809 0.0193809i 0.697350 0.716731i \(-0.254362\pi\)
−0.716731 + 0.697350i \(0.754362\pi\)
\(464\) −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 0.793799 0.608180i \(-0.208100\pi\)
−0.923599 + 0.383360i \(0.874767\pi\)
\(468\) 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 −0.997458 0.0712606i \(-0.977298\pi\)
0.828193 0.560442i \(-0.189369\pi\)
\(480\) −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 −0.994639 0.103406i \(-0.967026\pi\)
0.809680 0.586872i \(-0.199641\pi\)
\(488\) 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 \(-0.808786\pi\)
0.824930 0.565234i \(-0.191214\pi\)
\(492\) 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 −0.286508 0.958078i \(-0.592495\pi\)
−0.727162 + 0.686466i \(0.759161\pi\)
\(500\) 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 \(0.00623817\pi\)
−0.999808 + 0.0195965i \(0.993762\pi\)
\(504\) 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 −0.999252 0.0386826i \(-0.987684\pi\)
0.884719 + 0.466126i \(0.154351\pi\)
\(510\) 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 0.174644 0.984632i \(-0.444122\pi\)
−0.765394 + 0.643562i \(0.777456\pi\)
\(522\) 0.102918 + 0.384097i 0.00450462 + 0.0168115i
\(523\) 11.1498 6.43737i 0.487549 0.281486i −0.236008 0.971751i \(-0.575839\pi\)
0.723557 + 0.690265i \(0.242506\pi\)
\(524\) −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 0.819546 + 0.573014i \(0.194226\pi\)
−0.996254 + 0.0864715i \(0.972441\pi\)
\(542\) −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 −0.217032 0.976164i \(-0.569638\pi\)
0.300127 + 0.953899i \(0.402971\pi\)
\(558\) −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 0.498287 + 0.867012i \(0.333962\pi\)
−0.999998 + 0.00197638i \(0.999371\pi\)
\(564\) −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 −0.0244092 0.999702i \(-0.507770\pi\)
0.853563 + 0.520990i \(0.174437\pi\)
\(570\) −1.64657 6.14508i −0.0689672 0.257389i
\(571\) 14.3799 + 8.30223i 0.601779 + 0.347437i 0.769741 0.638356i \(-0.220385\pi\)
−0.167962 + 0.985793i \(0.553719\pi\)
\(572\) 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 −0.717307 0.696757i \(-0.754625\pi\)
−0.272827 + 0.962063i \(0.587959\pi\)
\(578\) 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 0.946461 + 0.322819i \(0.104631\pi\)
0.322819 + 0.946461i \(0.395369\pi\)
\(588\) −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 0.448833 0.893616i \(-0.351840\pi\)
−0.0581076 + 0.998310i \(0.518507\pi\)
\(594\) 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 −0.0654350 0.997857i \(-0.520844\pi\)
0.896887 0.442260i \(-0.145823\pi\)
\(600\) 1.34496 5.01946i 0.0549078 0.204919i
\(601\) 10.7311i 0.437731i 0.975755 + 0.218865i \(0.0702356\pi\)
−0.975755 + 0.218865i \(0.929764\pi\)
\(602\) −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 −0.690072 0.723741i \(-0.742421\pi\)
0.281742 + 0.959490i \(0.409088\pi\)
\(608\) −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 0.987901 + 0.155085i \(0.0495651\pi\)
−0.778005 + 0.628258i \(0.783768\pi\)
\(614\) −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 −0.747970 0.663733i \(-0.768971\pi\)
0.663733 + 0.747970i \(0.268971\pi\)
\(618\) 1.38109 5.15429i 0.0555555 0.207336i
\(619\) 9.21770 + 34.4009i 0.370491 + 1.38269i 0.859823 + 0.510593i \(0.170574\pi\)
−0.489332 + 0.872098i \(0.662759\pi\)
\(620\) 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 0.863692 0.504021i \(-0.168146\pi\)
−0.504021 + 0.863692i \(0.668146\pi\)
\(632\) −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 0.152007 0.988379i \(-0.451426\pi\)
−0.779958 + 0.625831i \(0.784760\pi\)
\(642\) 5.98052 22.3196i 0.236032 0.880884i
\(643\) 29.9544 + 29.9544i 1.18129 + 1.18129i 0.979412 + 0.201874i \(0.0647030\pi\)
0.201874 + 0.979412i \(0.435297\pi\)
\(644\) 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 −0.604186 0.796843i \(-0.706502\pi\)
0.992180 + 0.124819i \(0.0398350\pi\)
\(648\) −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 0.866845 0.498578i \(-0.166144\pi\)
−0.865204 + 0.501421i \(0.832811\pi\)
\(654\) 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 0.960388 + 0.278668i \(0.0898929\pi\)
−0.692386 + 0.721527i \(0.743440\pi\)
\(662\) −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 \(-0.986592\pi\)
0.999113 0.0421102i \(-0.0134081\pi\)
\(674\) 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 −0.568058 0.822989i \(-0.692305\pi\)
0.428700 + 0.903447i \(0.358972\pi\)
\(678\) 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 −0.0321547 0.999483i \(-0.510237\pi\)
0.471895 + 0.881655i \(0.343570\pi\)
\(684\) −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 −0.492742 0.870175i \(-0.664005\pi\)
0.861815 0.507223i \(-0.169328\pi\)
\(692\) 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 \(-0.800204\pi\)
0.809394 0.587266i \(-0.199796\pi\)
\(702\) −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 −0.852405 0.522882i \(-0.824857\pi\)
0.999645 0.0266262i \(-0.00847640\pi\)
\(710\) −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 0.594277 0.804260i \(-0.297438\pi\)
−0.993648 + 0.112529i \(0.964105\pi\)
\(720\) 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 −0.957523 0.288356i \(-0.906891\pi\)
0.973418 + 0.229038i \(0.0735580\pi\)
\(734\) −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 −0.836251 0.548346i \(-0.815258\pi\)
−0.450042 + 0.893008i \(0.648591\pi\)
\(740\) 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 −0.757087 0.653314i \(-0.773378\pi\)
0.653314 + 0.757087i \(0.273378\pi\)
\(744\) −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 −0.274495 0.961589i \(-0.588511\pi\)
0.695513 + 0.718514i \(0.255177\pi\)
\(752\) 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 0.135337 0.990800i \(-0.456788\pi\)
−0.378195 + 0.925726i \(0.623455\pi\)
\(762\) −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 0.444192 0.895932i \(-0.353491\pi\)
−0.895932 + 0.444192i \(0.853491\pi\)
\(770\) −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