Properties

Label 91.2.bb.a.5.4
Level $91$
Weight $2$
Character 91.5
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 5.4
Character \(\chi\) \(=\) 91.5
Dual form 91.2.bb.a.73.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.186083 - 0.694471i) q^{2} +(1.44134 - 0.832160i) q^{3} +(1.28439 - 0.741542i) q^{4} +(-1.87130 + 0.501414i) q^{5} +(-0.846120 - 0.846120i) q^{6} +(-0.783278 + 2.52715i) q^{7} +(-1.77076 - 1.77076i) q^{8} +(-0.115021 + 0.199221i) q^{9} +O(q^{10})\) \(q+(-0.186083 - 0.694471i) q^{2} +(1.44134 - 0.832160i) q^{3} +(1.28439 - 0.741542i) q^{4} +(-1.87130 + 0.501414i) q^{5} +(-0.846120 - 0.846120i) q^{6} +(-0.783278 + 2.52715i) q^{7} +(-1.77076 - 1.77076i) q^{8} +(-0.115021 + 0.199221i) q^{9} +(0.696434 + 1.20626i) q^{10} +(0.825667 - 3.08143i) 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} +(0.159757 + 0.0428067i) q^{18} +(-2.65082 + 0.710286i) q^{19} +(-2.03166 + 2.03166i) q^{20} +(0.974019 + 4.29430i) q^{21} -2.29361 q^{22} +(2.49648 + 1.44134i) q^{23} +(-4.02582 - 1.07872i) q^{24} +(-1.07978 + 0.623409i) q^{25} +(2.27658 - 1.23980i) q^{26} +5.37582i q^{27} +(0.867953 + 3.82667i) q^{28} -2.40426 q^{29} +(2.00760 + 1.15909i) q^{30} +(0.827581 - 3.08857i) q^{31} +(-5.64735 - 1.51320i) q^{32} +(-1.37417 - 5.12849i) q^{33} +(-0.258412 + 0.258412i) q^{34} +(0.198602 - 5.12180i) q^{35} +0.341170i q^{36} +(9.40142 - 2.51910i) q^{37} +(0.986546 + 1.70875i) q^{38} +(4.13616 + 4.34761i) q^{39} +(4.20150 + 2.42574i) q^{40} +(-5.34023 - 5.34023i) q^{41} +(2.80102 - 1.47552i) q^{42} -12.5736i q^{43} +(-1.22453 - 4.57002i) q^{44} +(0.115346 - 0.430476i) q^{45} +(0.536419 - 2.00194i) q^{46} +(2.88879 + 10.7811i) q^{47} -1.94010i q^{48} +(-5.77295 - 3.95892i) q^{49} +(0.633867 + 0.633867i) q^{50} +(-0.732629 - 0.422984i) q^{51} +(3.68575 + 3.87417i) q^{52} +(-3.42477 - 5.93187i) q^{53} +(3.73335 - 1.00035i) q^{54} +6.18029i q^{55} +(5.86196 - 3.08797i) q^{56} +(-3.22968 + 3.22968i) q^{57} +(0.447392 + 1.66969i) q^{58} +(3.74520 + 1.00352i) q^{59} +(-1.23765 + 4.61898i) q^{60} +(-5.51719 - 3.18535i) q^{61} -2.29892 q^{62} +(-0.413369 - 0.446720i) q^{63} +1.87209i q^{64} +(-3.34073 - 6.13440i) q^{65} +(-3.30587 + 1.90865i) q^{66} +(6.56281 + 1.75850i) q^{67} +(-0.652849 - 0.376923i) q^{68} +4.79771 q^{69} +(-3.59390 + 0.815156i) q^{70} +(-1.90492 + 1.90492i) q^{71} +(0.556446 - 0.149099i) q^{72} +(0.252451 + 0.0676442i) 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} +(-0.584499 + 2.18138i) q^{80} +(4.12848 + 7.15074i) q^{81} +(-2.71491 + 4.70236i) q^{82} +(5.86182 + 5.86182i) q^{83} +(4.43542 + 4.79327i) q^{84} +(0.696309 + 0.696309i) q^{85} +(-8.73203 + 2.33974i) q^{86} +(-3.46536 + 2.00073i) q^{87} +(-6.91853 + 3.99441i) q^{88} +(-3.17139 - 11.8358i) q^{89} -0.320417 q^{90} +(-9.52006 - 0.607013i) q^{91} +4.27526 q^{92} +(-1.37736 - 5.14037i) q^{93} +(6.94962 - 4.01237i) q^{94} +(4.60434 - 2.65832i) q^{95} +(-9.39899 + 2.51845i) q^{96} +(-7.04713 - 7.04713i) q^{97} +(-1.67511 + 4.74583i) q^{98} +(0.518918 + 0.518918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.186083 0.694471i −0.131581 0.491065i 0.868408 0.495850i \(-0.165144\pi\)
−0.999989 + 0.00478511i \(0.998477\pi\)
\(3\) 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
\(5\) −1.87130 + 0.501414i −0.836871 + 0.224239i −0.651709 0.758469i \(-0.725948\pi\)
−0.185162 + 0.982708i \(0.559281\pi\)
\(6\) −0.846120 0.846120i −0.345427 0.345427i
\(7\) −0.783278 + 2.52715i −0.296051 + 0.955172i
\(8\) −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
\(11\) 0.825667 3.08143i 0.248948 0.929087i −0.722410 0.691465i \(-0.756966\pi\)
0.971358 0.237621i \(-0.0763678\pi\)
\(12\) 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 \(-0.186300\pi\)
−0.895199 + 0.445667i \(0.852966\pi\)
\(18\) 0.159757 + 0.0428067i 0.0376550 + 0.0100896i
\(19\) −2.65082 + 0.710286i −0.608141 + 0.162951i −0.549731 0.835342i \(-0.685270\pi\)
−0.0584100 + 0.998293i \(0.518603\pi\)
\(20\) −2.03166 + 2.03166i −0.454292 + 0.454292i
\(21\) 0.974019 + 4.29430i 0.212548 + 0.937093i
\(22\) −2.29361 −0.488999
\(23\) 2.49648 + 1.44134i 0.520552 + 0.300541i 0.737160 0.675718i \(-0.236166\pi\)
−0.216609 + 0.976259i \(0.569500\pi\)
\(24\) −4.02582 1.07872i −0.821768 0.220192i
\(25\) −1.07978 + 0.623409i −0.215955 + 0.124682i
\(26\) 2.27658 1.23980i 0.446474 0.243145i
\(27\) 5.37582i 1.03458i
\(28\) 0.867953 + 3.82667i 0.164028 + 0.723173i
\(29\) −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
\(31\) 0.827581 3.08857i 0.148638 0.554724i −0.850929 0.525281i \(-0.823960\pi\)
0.999566 0.0294427i \(-0.00937326\pi\)
\(32\) −5.64735 1.51320i −0.998319 0.267499i
\(33\) −1.37417 5.12849i −0.239213 0.892755i
\(34\) −0.258412 + 0.258412i −0.0443172 + 0.0443172i
\(35\) 0.198602 5.12180i 0.0335699 0.865742i
\(36\) 0.341170i 0.0568617i
\(37\) 9.40142 2.51910i 1.54558 0.414138i 0.617519 0.786556i \(-0.288138\pi\)
0.928065 + 0.372418i \(0.121471\pi\)
\(38\) 0.986546 + 1.70875i 0.160039 + 0.277196i
\(39\) 4.13616 + 4.34761i 0.662315 + 0.696174i
\(40\) 4.20150 + 2.42574i 0.664316 + 0.383543i
\(41\) −5.34023 5.34023i −0.834004 0.834004i 0.154058 0.988062i \(-0.450766\pi\)
−0.988062 + 0.154058i \(0.950766\pi\)
\(42\) 2.80102 1.47552i 0.432206 0.227678i
\(43\) 12.5736i 1.91746i −0.284313 0.958732i \(-0.591765\pi\)
0.284313 0.958732i \(-0.408235\pi\)
\(44\) −1.22453 4.57002i −0.184605 0.688956i
\(45\) 0.115346 0.430476i 0.0171947 0.0641716i
\(46\) 0.536419 2.00194i 0.0790906 0.295170i
\(47\) 2.88879 + 10.7811i 0.421374 + 1.57259i 0.771716 + 0.635967i \(0.219399\pi\)
−0.350342 + 0.936622i \(0.613935\pi\)
\(48\) 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
\(52\) 3.68575 + 3.87417i 0.511122 + 0.537251i
\(53\) −3.42477 5.93187i −0.470428 0.814805i 0.529000 0.848622i \(-0.322567\pi\)
−0.999428 + 0.0338167i \(0.989234\pi\)
\(54\) 3.73335 1.00035i 0.508045 0.136130i
\(55\) 6.18029i 0.833350i
\(56\) 5.86196 3.08797i 0.783338 0.412648i
\(57\) −3.22968 + 3.22968i −0.427781 + 0.427781i
\(58\) 0.447392 + 1.66969i 0.0587454 + 0.219241i
\(59\) 3.74520 + 1.00352i 0.487583 + 0.130647i 0.494231 0.869330i \(-0.335450\pi\)
−0.00664837 + 0.999978i \(0.502116\pi\)
\(60\) −1.23765 + 4.61898i −0.159780 + 0.596307i
\(61\) −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
\(63\) −0.413369 0.446720i −0.0520796 0.0562814i
\(64\) 1.87209i 0.234012i
\(65\) −3.34073 6.13440i −0.414367 0.760879i
\(66\) −3.30587 + 1.90865i −0.406925 + 0.234938i
\(67\) 6.56281 + 1.75850i 0.801775 + 0.214835i 0.636363 0.771390i \(-0.280438\pi\)
0.165412 + 0.986225i \(0.447105\pi\)
\(68\) −0.652849 0.376923i −0.0791696 0.0457086i
\(69\) 4.79771 0.577576
\(70\) −3.59390 + 0.815156i −0.429553 + 0.0974298i
\(71\) −1.90492 + 1.90492i −0.226072 + 0.226072i −0.811049 0.584978i \(-0.801103\pi\)
0.584978 + 0.811049i \(0.301103\pi\)
\(72\) 0.556446 0.149099i 0.0655778 0.0175715i
\(73\) 0.252451 + 0.0676442i 0.0295472 + 0.00791715i 0.273562 0.961854i \(-0.411798\pi\)
−0.244015 + 0.969771i \(0.578465\pi\)
\(74\) −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 \(0.268068\pi\)
\(80\) −0.584499 + 2.18138i −0.0653490 + 0.243886i
\(81\) 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 \(-0.0996515\pi\)
−0.307975 + 0.951394i \(0.599651\pi\)
\(84\) 4.43542 + 4.79327i 0.483944 + 0.522989i
\(85\) 0.696309 + 0.696309i 0.0755253 + 0.0755253i
\(86\) −8.73203 + 2.33974i −0.941599 + 0.252301i
\(87\) −3.46536 + 2.00073i −0.371526 + 0.214500i
\(88\) −6.91853 + 3.99441i −0.737517 + 0.425806i
\(89\) −3.17139 11.8358i −0.336166 1.25459i −0.902599 0.430482i \(-0.858344\pi\)
0.566433 0.824108i \(-0.308323\pi\)
\(90\) −0.320417 −0.0337749
\(91\) −9.52006 0.607013i −0.997973 0.0636323i
\(92\) 4.27526 0.445727
\(93\) −1.37736 5.14037i −0.142825 0.533032i
\(94\) 6.94962 4.01237i 0.716799 0.413844i
\(95\) 4.60434 2.65832i 0.472396 0.272738i
\(96\) −9.39899 + 2.51845i −0.959280 + 0.257038i
\(97\) −7.04713 7.04713i −0.715528 0.715528i 0.252158 0.967686i \(-0.418860\pi\)
−0.967686 + 0.252158i \(0.918860\pi\)
\(98\) −1.67511 + 4.74583i −0.169211 + 0.479402i
\(99\) 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 \(-0.242111\pi\)
−0.959215 + 0.282676i \(0.908778\pi\)
\(102\) −0.157420 + 0.587500i −0.0155869 + 0.0581711i
\(103\) 2.22971 3.86197i 0.219700 0.380531i −0.735016 0.678049i \(-0.762826\pi\)
0.954716 + 0.297518i \(0.0961589\pi\)
\(104\) 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
\(109\) 10.5129 + 2.81694i 1.00696 + 0.269813i 0.724358 0.689424i \(-0.242136\pi\)
0.282600 + 0.959238i \(0.408803\pi\)
\(110\) 4.29203 1.15005i 0.409229 0.109653i
\(111\) 11.4544 11.4544i 1.08720 1.08720i
\(112\) 2.09469 + 2.26369i 0.197930 + 0.213899i
\(113\) 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
\(115\) −5.39437 1.44542i −0.503028 0.134786i
\(116\) −3.08800 + 1.78286i −0.286714 + 0.165534i
\(117\) −0.795565 0.234566i −0.0735500 0.0216857i
\(118\) 2.78767i 0.256626i
\(119\) 1.31151 0.297473i 0.120226 0.0272693i
\(120\) 8.07441 0.737089
\(121\) 0.712785 + 0.411527i 0.0647987 + 0.0374115i
\(122\) −1.18548 + 4.42427i −0.107328 + 0.400555i
\(123\) −12.1410 3.25318i −1.09472 0.293329i
\(124\) −1.22737 4.58061i −0.110221 0.411351i
\(125\) 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 \(0.772980\pi\)
\(128\) −9.99458 + 2.67804i −0.883404 + 0.236707i
\(129\) −10.4633 18.1229i −0.921241 1.59564i
\(130\) −3.63851 + 3.46155i −0.319118 + 0.303598i
\(131\) 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
\(135\) −2.69551 10.0598i −0.231992 0.865808i
\(136\) −0.329448 + 1.22952i −0.0282500 + 0.105430i
\(137\) −2.19304 + 8.18452i −0.187364 + 0.699251i 0.806748 + 0.590895i \(0.201225\pi\)
−0.994112 + 0.108356i \(0.965441\pi\)
\(138\) −0.892772 3.33187i −0.0759978 0.283628i
\(139\) 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
\(143\) 11.4986 + 0.286591i 0.961563 + 0.0239659i
\(144\) 0.134080 + 0.232233i 0.0111733 + 0.0193527i
\(145\) 4.49909 1.20553i 0.373629 0.100114i
\(146\) 0.187908i 0.0155513i
\(147\) −11.6153 0.902140i −0.958010 0.0744073i
\(148\) 10.2071 10.2071i 0.839015 0.839015i
\(149\) 1.53590 + 5.73207i 0.125826 + 0.469590i 0.999868 0.0162614i \(-0.00517640\pi\)
−0.874042 + 0.485851i \(0.838510\pi\)
\(150\) 1.44110 + 0.386141i 0.117665 + 0.0315283i
\(151\) 1.67388 6.24701i 0.136219 0.508374i −0.863771 0.503884i \(-0.831904\pi\)
0.999990 0.00449055i \(-0.00142939\pi\)
\(152\) 5.95171 + 3.43622i 0.482748 + 0.278715i
\(153\) 0.116929 0.00945315
\(154\) 1.79653 5.79628i 0.144769 0.467078i
\(155\) 6.19461i 0.497563i
\(156\) 8.53636 + 2.51688i 0.683456 + 0.201512i
\(157\) 5.54969 3.20411i 0.442913 0.255716i −0.261919 0.965090i \(-0.584355\pi\)
0.704833 + 0.709374i \(0.251022\pi\)
\(158\) 3.86653 + 1.03603i 0.307605 + 0.0824225i
\(159\) −9.87253 5.69991i −0.782942 0.452032i
\(160\) 11.3266 0.895448
\(161\) −5.59792 + 5.18000i −0.441178 + 0.408241i
\(162\) 4.19774 4.19774i 0.329805 0.329805i
\(163\) −0.660995 + 0.177113i −0.0517731 + 0.0138726i −0.284613 0.958643i \(-0.591865\pi\)
0.232840 + 0.972515i \(0.425198\pi\)
\(164\) −10.8189 2.89892i −0.844816 0.226368i
\(165\) 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 \(-0.793241\pi\)
0.604830 + 0.796355i \(0.293241\pi\)
\(168\) 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
\(171\) 0.163395 0.609798i 0.0124951 0.0466325i
\(172\) −9.32388 16.1494i −0.710939 1.23138i
\(173\) −12.3860 + 21.4531i −0.941687 + 1.63105i −0.179435 + 0.983770i \(0.557427\pi\)
−0.762252 + 0.647280i \(0.775906\pi\)
\(174\) 2.03429 + 2.03429i 0.154219 + 0.154219i
\(175\) −0.729681 3.21705i −0.0551587 0.243186i
\(176\) −2.62955 2.62955i −0.198210 0.198210i
\(177\) 6.23320 1.67018i 0.468516 0.125539i
\(178\) −7.62946 + 4.40487i −0.571852 + 0.330159i
\(179\) 16.6184 9.59464i 1.24212 0.717137i 0.272593 0.962129i \(-0.412119\pi\)
0.969525 + 0.244992i \(0.0787853\pi\)
\(180\) −0.171067 0.638432i −0.0127506 0.0475859i
\(181\) −11.0428 −0.820803 −0.410401 0.911905i \(-0.634611\pi\)
−0.410401 + 0.911905i \(0.634611\pi\)
\(182\) 1.34997 + 6.72436i 0.100066 + 0.498443i
\(183\) −10.6029 −0.783788
\(184\) −1.86839 6.97293i −0.137740 0.514051i
\(185\) −16.3298 + 9.42800i −1.20059 + 0.693161i
\(186\) −3.31354 + 1.91307i −0.242960 + 0.140273i
\(187\) −1.56628 + 0.419683i −0.114538 + 0.0306903i
\(188\) 11.7050 + 11.7050i 0.853674 + 0.853674i
\(189\) −13.5855 4.21076i −0.988199 0.306288i
\(190\) −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
\(193\) −3.22844 + 12.0487i −0.232388 + 0.867286i 0.746920 + 0.664914i \(0.231532\pi\)
−0.979309 + 0.202372i \(0.935135\pi\)
\(194\) −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 \(-0.157329\pi\)
−0.850988 + 0.525185i \(0.823996\pi\)
\(200\) 3.01593 + 0.808115i 0.213258 + 0.0571424i
\(201\) 10.9226 2.92670i 0.770422 0.206434i
\(202\) −2.39933 + 2.39933i −0.168816 + 0.168816i
\(203\) 1.88320 6.07592i 0.132175 0.426446i
\(204\) −1.25464 −0.0878424
\(205\) 12.6708 + 7.31551i 0.884970 + 0.510938i
\(206\) −3.09694 0.829821i −0.215774 0.0578164i
\(207\) −0.574293 + 0.331568i −0.0399161 + 0.0230456i
\(208\) 4.03142 + 1.18863i 0.279529 + 0.0824169i
\(209\) 8.75479i 0.605582i
\(210\) −4.50170 + 4.16562i −0.310647 + 0.287455i
\(211\) 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
\(213\) −1.16044 + 4.33083i −0.0795122 + 0.296744i
\(214\) 13.4106 + 3.59337i 0.916733 + 0.245638i
\(215\) 6.30460 + 23.5291i 0.429970 + 1.60467i
\(216\) 9.51928 9.51928i 0.647705 0.647705i
\(217\) 7.15705 + 4.51063i 0.485853 + 0.306201i
\(218\) 7.82512i 0.529984i
\(219\) 0.420160 0.112581i 0.0283918 0.00760755i
\(220\) 4.58294 + 7.93788i 0.308982 + 0.535172i
\(221\) 1.32779 1.26321i 0.0893170 0.0849730i
\(222\) −10.0862 5.82327i −0.676941 0.390832i
\(223\) −9.83194 9.83194i −0.658396 0.658396i 0.296605 0.955000i \(-0.404146\pi\)
−0.955000 + 0.296605i \(0.904146\pi\)
\(224\) 8.24753 13.0864i 0.551061 0.874373i
\(225\) 0.286819i 0.0191213i
\(226\) −2.07987 7.76216i −0.138351 0.516332i
\(227\) 4.05207 15.1225i 0.268945 1.00372i −0.690846 0.723002i \(-0.742762\pi\)
0.959791 0.280715i \(-0.0905715\pi\)
\(228\) −1.75322 + 6.54309i −0.116110 + 0.433327i
\(229\) −1.23889 4.62362i −0.0818684 0.305537i 0.912834 0.408330i \(-0.133889\pi\)
−0.994703 + 0.102793i \(0.967222\pi\)
\(230\) 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 \(-0.366446\pi\)
−0.587225 + 0.809424i \(0.699779\pi\)
\(234\) −0.0148583 + 0.596146i −0.000971318 + 0.0389713i
\(235\) −10.8116 18.7263i −0.705271 1.22157i
\(236\) 5.55444 1.48831i 0.361563 0.0968805i
\(237\) 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 \(0.138193\pi\)
\(240\) 0.972793 + 3.63051i 0.0627935 + 0.234349i
\(241\) −1.89421 0.507552i −0.122017 0.0326943i 0.197294 0.980344i \(-0.436785\pi\)
−0.319311 + 0.947650i \(0.603451\pi\)
\(242\) 0.153156 0.571587i 0.00984526 0.0367430i
\(243\) −2.06568 1.19262i −0.132514 0.0765068i
\(244\) −9.44829 −0.604865
\(245\) 12.7880 + 4.51369i 0.816994 + 0.288369i
\(246\) 9.03695i 0.576175i
\(247\) −4.73237 8.68980i −0.301114 0.552918i
\(248\) −6.93456 + 4.00367i −0.440345 + 0.254233i
\(249\) 13.3269 + 3.57092i 0.844556 + 0.226298i
\(250\) −7.53528 4.35050i −0.476573 0.275150i
\(251\) −1.64155 −0.103614 −0.0518070 0.998657i \(-0.516498\pi\)
−0.0518070 + 0.998657i \(0.516498\pi\)
\(252\) −0.862187 0.267231i −0.0543127 0.0168340i
\(253\) 6.50266 6.50266i 0.408819 0.408819i
\(254\) 10.2409 2.74403i 0.642570 0.172176i
\(255\) 1.58306 + 0.424180i 0.0991350 + 0.0265632i
\(256\) 5.59174 + 9.68517i 0.349483 + 0.605323i
\(257\) 10.9118 18.8997i 0.680657 1.17893i −0.294124 0.955767i \(-0.595028\pi\)
0.974781 0.223165i \(-0.0716389\pi\)
\(258\) −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
\(262\) 3.76168 14.0388i 0.232397 0.867319i
\(263\) −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
\(266\) −5.09100 + 1.15472i −0.312149 + 0.0708007i
\(267\) −14.4203 14.4203i −0.882509 0.882509i
\(268\) 9.73319 2.60800i 0.594549 0.159309i
\(269\) 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
\(271\) −3.59627 13.4215i −0.218458 0.815295i −0.984921 0.173007i \(-0.944652\pi\)
0.766463 0.642289i \(-0.222015\pi\)
\(272\) −0.592522 −0.0359269
\(273\) −14.2268 + 7.04730i −0.861045 + 0.426522i
\(274\) 6.09200 0.368031
\(275\) 1.02946 + 3.84198i 0.0620785 + 0.231680i
\(276\) 6.16212 3.55770i 0.370916 0.214148i
\(277\) −17.0084 + 9.81980i −1.02194 + 0.590015i −0.914664 0.404215i \(-0.867545\pi\)
−0.107272 + 0.994230i \(0.534211\pi\)
\(278\) −1.68700 + 0.452030i −0.101180 + 0.0271110i
\(279\) 0.520121 + 0.520121i 0.0311388 + 0.0311388i
\(280\) −9.42114 + 8.71779i −0.563021 + 0.520988i
\(281\) −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 \(-0.0526555\pi\)
−0.635782 + 0.771869i \(0.719322\pi\)
\(284\) −1.03408 + 3.85922i −0.0613611 + 0.229003i
\(285\) 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
\(291\) −16.0217 4.29300i −0.939207 0.251660i
\(292\) 0.374406 0.100322i 0.0219105 0.00587090i
\(293\) 18.5497 18.5497i 1.08368 1.08368i 0.0875204 0.996163i \(-0.472106\pi\)
0.996163 0.0875204i \(-0.0278943\pi\)
\(294\) 1.53489 + 8.23433i 0.0895166 + 0.480236i
\(295\) −7.51157 −0.437340
\(296\) −21.1084 12.1869i −1.22690 0.708350i
\(297\) 16.5652 + 4.43864i 0.961212 + 0.257556i
\(298\) 3.69495 2.13328i 0.214043 0.123578i
\(299\) −2.93939 + 9.96937i −0.169989 + 0.576544i
\(300\) 3.07755i 0.177682i
\(301\) 31.7755 + 9.84866i 1.83151 + 0.567667i
\(302\) −4.64985 −0.267569
\(303\) −6.80239 3.92736i −0.390787 0.225621i
\(304\) −0.827982 + 3.09007i −0.0474880 + 0.177228i
\(305\) 11.9215 + 3.19436i 0.682624 + 0.182908i
\(306\) −0.0217585 0.0812038i −0.00124385 0.00464211i
\(307\) 1.29211 1.29211i 0.0737445 0.0737445i −0.669273 0.743017i \(-0.733394\pi\)
0.743017 + 0.669273i \(0.233394\pi\)
\(308\) 12.5083 + 0.485019i 0.712724 + 0.0276365i
\(309\) 7.42189i 0.422217i
\(310\) 4.30198 1.15271i 0.244336 0.0654696i
\(311\) −1.35809 2.35229i −0.0770104 0.133386i 0.824948 0.565208i \(-0.191204\pi\)
−0.901959 + 0.431822i \(0.857871\pi\)
\(312\) 0.374425 15.0227i 0.0211976 0.850492i
\(313\) −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
\(317\) 7.86887 + 29.3670i 0.441960 + 1.64942i 0.723841 + 0.689967i \(0.242375\pi\)
−0.281882 + 0.959449i \(0.590959\pi\)
\(318\) −2.12131 + 7.91684i −0.118957 + 0.443954i
\(319\) −1.98512 + 7.40856i −0.111145 + 0.414800i
\(320\) −0.938694 3.50325i −0.0524746 0.195838i
\(321\) 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
\(325\) −3.09858 3.25699i −0.171878 0.180665i
\(326\) 0.246000 + 0.426084i 0.0136247 + 0.0235986i
\(327\) 17.4969 4.68828i 0.967581 0.259262i
\(328\) 18.9125i 1.04427i
\(329\) −29.5082 1.14421i −1.62684 0.0630822i
\(330\) 5.22926 5.22926i 0.287862 0.287862i
\(331\) 0.489966 + 1.82858i 0.0269310 + 0.100508i 0.978083 0.208215i \(-0.0667652\pi\)
−0.951152 + 0.308722i \(0.900099\pi\)
\(332\) 11.8756 + 3.18207i 0.651761 + 0.174639i
\(333\) −0.579497 + 2.16271i −0.0317563 + 0.118516i
\(334\) 2.17942 + 1.25829i 0.119252 + 0.0688504i
\(335\) −13.1627 −0.719157
\(336\) 4.90292 + 1.51964i 0.267476 + 0.0829031i
\(337\) 15.8664i 0.864300i −0.901802 0.432150i \(-0.857755\pi\)
0.901802 0.432150i \(-0.142245\pi\)
\(338\) 6.27160 + 6.93008i 0.341130 + 0.376947i
\(339\) 16.1100 9.30112i 0.874976 0.505168i
\(340\) 1.41067 + 0.377988i 0.0765044 + 0.0204993i
\(341\) −8.83392 5.10027i −0.478384 0.276195i
\(342\) −0.453892 −0.0245437
\(343\) 14.5266 11.4882i 0.784362 0.620303i
\(344\) −22.2649 + 22.2649i −1.20044 + 1.20044i
\(345\) −8.97796 + 2.40564i −0.483357 + 0.129515i
\(346\) 17.2034 + 4.60963i 0.924860 + 0.247815i
\(347\) −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 −0.00129933 + 0.999999i \(0.500414\pi\)
−0.999999 + 0.00129933i \(0.999586\pi\)
\(350\) −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
\(353\) −5.93777 + 22.1601i −0.316036 + 1.17946i 0.606986 + 0.794712i \(0.292378\pi\)
−0.923022 + 0.384748i \(0.874288\pi\)
\(354\) −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
\(357\) 1.64279 1.52015i 0.0869459 0.0804548i
\(358\) −9.75560 9.75560i −0.515600 0.515600i
\(359\) −7.19663 + 1.92833i −0.379824 + 0.101773i −0.443679 0.896186i \(-0.646327\pi\)
0.0638554 + 0.997959i \(0.479660\pi\)
\(360\) −0.966518 + 0.558020i −0.0509400 + 0.0294102i
\(361\) −9.93212 + 5.73431i −0.522743 + 0.301806i
\(362\) 2.05487 + 7.66889i 0.108002 + 0.403068i
\(363\) 1.36982 0.0718971
\(364\) −12.6776 + 6.27988i −0.664485 + 0.329155i
\(365\) −0.506330 −0.0265025
\(366\) 1.97302 + 7.36340i 0.103131 + 0.384891i
\(367\) −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
\(369\) 1.67812 0.449652i 0.0873597 0.0234080i
\(370\) 9.58617 + 9.58617i 0.498361 + 0.498361i
\(371\) 17.6733 4.00859i 0.917550 0.208116i
\(372\) −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
\(375\) 5.21305 19.4554i 0.269201 1.00467i
\(376\) 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
\(382\) 7.89102 + 2.11439i 0.403740 + 0.108182i
\(383\) 0.951971 0.255080i 0.0486435 0.0130340i −0.234415 0.972137i \(-0.575318\pi\)
0.283059 + 0.959103i \(0.408651\pi\)
\(384\) −12.1771 + 12.1771i −0.621408 + 0.621408i
\(385\) −15.6185 4.84088i −0.795992 0.246714i
\(386\) 8.96824 0.456471
\(387\) 2.50494 + 1.44623i 0.127333 + 0.0735159i
\(388\) −14.2770 3.82551i −0.724805 0.194211i
\(389\) 4.37916 2.52831i 0.222032 0.128190i −0.384859 0.922976i \(-0.625750\pi\)
0.606891 + 0.794785i \(0.292416\pi\)
\(390\) −2.36378 + 8.01710i −0.119695 + 0.405962i
\(391\) 1.46526i 0.0741013i
\(392\) 3.21221 + 17.2328i 0.162241 + 0.870387i
\(393\) 33.6443 1.69713
\(394\) 12.2699 + 7.08401i 0.618147 + 0.356887i
\(395\) 2.79167 10.4186i 0.140464 0.524219i
\(396\) 1.05129 + 0.281693i 0.0528294 + 0.0141556i
\(397\) −0.301304 1.12448i −0.0151220 0.0564361i 0.957953 0.286927i \(-0.0926336\pi\)
−0.973075 + 0.230491i \(0.925967\pi\)
\(398\) 0.420683 0.420683i 0.0210869 0.0210869i
\(399\) −5.63213 10.6916i −0.281959 0.535249i
\(400\) 1.45342i 0.0726709i
\(401\) −1.48151 + 0.396969i −0.0739830 + 0.0198237i −0.295621 0.955305i \(-0.595526\pi\)
0.221638 + 0.975129i \(0.428860\pi\)
\(402\) −4.06502 7.04083i −0.202745 0.351165i
\(403\) 11.5253 + 0.287255i 0.574114 + 0.0143092i
\(404\) −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
\(408\) 0.548307 + 2.04631i 0.0271453 + 0.101307i
\(409\) 2.76317 10.3123i 0.136630 0.509910i −0.863356 0.504595i \(-0.831642\pi\)
0.999986 0.00531434i \(-0.00169161\pi\)
\(410\) 2.72258 10.1608i 0.134459 0.501807i
\(411\) 3.64991 + 13.6217i 0.180037 + 0.671907i
\(412\) 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
\(416\) 0.525236 21.0735i 0.0257518 1.03322i
\(417\) −2.02147 3.50129i −0.0989919 0.171459i
\(418\) 6.07995 1.62912i 0.297380 0.0796828i
\(419\) 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 −0.626103 0.779740i \(-0.715351\pi\)
0.779740 + 0.626103i \(0.215351\pi\)
\(422\) −3.50847 13.0938i −0.170789 0.637395i
\(423\) −2.48010 0.664541i −0.120587 0.0323111i
\(424\) −4.43947 + 16.5683i −0.215600 + 0.804630i
\(425\) 0.548846 + 0.316876i 0.0266229 + 0.0153708i
\(426\) 3.22357 0.156183
\(427\) 12.3714 11.4477i 0.598692 0.553995i
\(428\) 28.6392i 1.38433i
\(429\) 16.8119 9.15561i 0.811688 0.442037i
\(430\) 15.1671 8.75672i 0.731422 0.422286i
\(431\) −1.18005 0.316193i −0.0568410 0.0152305i 0.230286 0.973123i \(-0.426034\pi\)
−0.287127 + 0.957892i \(0.592700\pi\)
\(432\) 5.42704 + 3.13330i 0.261109 + 0.150751i
\(433\) 18.1346 0.871493 0.435747 0.900069i \(-0.356484\pi\)
0.435747 + 0.900069i \(0.356484\pi\)
\(434\) 1.80070 5.80972i 0.0864361 0.278875i
\(435\) 5.48154 5.48154i 0.262820 0.262820i
\(436\) 15.5916 4.17775i 0.746701 0.200078i
\(437\) −7.64149 2.04753i −0.365542 0.0979467i
\(438\) −0.156369 0.270839i −0.00747161 0.0129412i
\(439\) −15.6253 + 27.0638i −0.745755 + 1.29169i 0.204087 + 0.978953i \(0.434578\pi\)
−0.949841 + 0.312732i \(0.898756\pi\)
\(440\) 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 \(-0.0336186\pi\)
\(444\) 6.21797 23.2058i 0.295092 1.10130i
\(445\) 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
\(448\) −4.73106 1.46637i −0.223522 0.0692795i
\(449\) 7.07560 + 7.07560i 0.333918 + 0.333918i 0.854072 0.520154i \(-0.174126\pi\)
−0.520154 + 0.854072i \(0.674126\pi\)
\(450\) −0.199188 + 0.0533721i −0.00938979 + 0.00251599i
\(451\) −20.8648 + 12.0463i −0.982485 + 0.567238i
\(452\) 14.3557 8.28828i 0.675236 0.389848i
\(453\) −2.78587 10.3970i −0.130892 0.488495i
\(454\) −11.2562 −0.528278
\(455\) 18.1193 3.63758i 0.849444 0.170533i
\(456\) 11.4379 0.535631
\(457\) −5.42349 20.2407i −0.253700 0.946821i −0.968809 0.247808i \(-0.920290\pi\)
0.715109 0.699013i \(-0.246377\pi\)
\(458\) −2.98043 + 1.72075i −0.139266 + 0.0804055i
\(459\) 2.36642 1.36625i 0.110455 0.0637713i
\(460\) −8.00030 + 2.14367i −0.373016 + 0.0999494i
\(461\) −8.07954 8.07954i −0.376302 0.376302i 0.493464 0.869766i \(-0.335730\pi\)
−0.869766 + 0.493464i \(0.835730\pi\)
\(462\) −2.23402 9.84943i −0.103936 0.458237i
\(463\) −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
\(466\) −0.589898 + 2.20153i −0.0273265 + 0.101984i
\(467\) 2.80499 4.85839i 0.129800 0.224819i −0.793799 0.608180i \(-0.791900\pi\)
0.923599 + 0.383360i \(0.125233\pi\)
\(468\) −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
\(473\) −38.7448 10.3816i −1.78149 0.477349i
\(474\) 6.43515 1.72429i 0.295576 0.0791994i
\(475\) 2.41950 2.41950i 0.111014 0.111014i
\(476\) 1.46390 1.35461i 0.0670978 0.0620885i
\(477\) 1.57567 0.0721452
\(478\) −6.62402 3.82438i −0.302976 0.174923i
\(479\) −13.8255 3.70453i −0.631703 0.169264i −0.0712606 0.997458i \(-0.522702\pi\)
−0.560442 + 0.828193i \(0.689369\pi\)
\(480\) 16.3256 9.42556i 0.745156 0.430216i
\(481\) 16.7839 + 30.8193i 0.765278 + 1.40524i
\(482\) 1.40992i 0.0642201i
\(483\) −3.75794 + 12.1245i −0.170992 + 0.551685i
\(484\) 1.22066 0.0554844
\(485\) 16.7208 + 9.65378i 0.759254 + 0.438356i
\(486\) −0.443853 + 1.65648i −0.0201336 + 0.0751396i
\(487\) 15.2331 + 4.08170i 0.690278 + 0.184959i 0.586872 0.809680i \(-0.300359\pi\)
0.103406 + 0.994639i \(0.467026\pi\)
\(488\) 4.12913 + 15.4101i 0.186917 + 0.697583i
\(489\) −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 \(-0.191214\pi\)
\(492\) −18.0062 + 4.82473i −0.811780 + 0.217516i
\(493\) 0.611038 + 1.05835i 0.0275198 + 0.0476656i
\(494\) −5.15420 + 4.90352i −0.231898 + 0.220620i
\(495\) −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
\(499\) 6.06736 + 22.6437i 0.271612 + 1.01367i 0.958078 + 0.286508i \(0.0924946\pi\)
−0.686466 + 0.727162i \(0.740839\pi\)
\(500\) 4.64537 17.3368i 0.207747 0.775324i
\(501\) −1.50776 + 5.62704i −0.0673618 + 0.251398i
\(502\) 0.305465 + 1.14001i 0.0136336 + 0.0508812i
\(503\) 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
\(507\) −11.7381 + 18.1753i −0.521307 + 0.807192i
\(508\) 10.9350 + 18.9400i 0.485162 + 0.840325i
\(509\) −9.64356 + 2.58398i −0.427443 + 0.114533i −0.466126 0.884719i \(-0.654351\pi\)
0.0386826 + 0.999252i \(0.487684\pi\)
\(510\) 1.17832i 0.0521769i
\(511\) −0.368686 + 0.584998i −0.0163097 + 0.0258788i
\(512\) −8.94753 + 8.94753i −0.395429 + 0.395429i
\(513\) −3.81837 14.2504i −0.168585 0.629169i
\(514\) −15.1558 4.06099i −0.668494 0.179122i
\(515\) −2.23601 + 8.34491i −0.0985305 + 0.367721i
\(516\) −26.8778 15.5179i −1.18323 0.683138i
\(517\) 35.6065 1.56597
\(518\) 18.0558 4.09535i 0.793325 0.179939i
\(519\) 41.2284i 1.80973i
\(520\) −4.94691 + 16.7782i −0.216936 + 0.735771i
\(521\) −13.4841 + 7.78505i −0.590749 + 0.341069i −0.765394 0.643562i \(-0.777456\pi\)
0.174644 + 0.984632i \(0.444122\pi\)
\(522\) −0.384097 0.102918i −0.0168115 0.00450462i
\(523\) 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
\(525\) −3.72882 4.02967i −0.162739 0.175869i
\(526\) −8.47314 + 8.47314i −0.369447 + 0.369447i
\(527\) −1.56991 + 0.420656i −0.0683864 + 0.0183241i
\(528\) −5.97829 1.60188i −0.260172 0.0697128i
\(529\) −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
\(535\) 9.68260 36.1359i 0.418615 1.56229i
\(536\) −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
\(539\) −16.9657 + 14.5202i −0.730763 + 0.625430i
\(540\) −10.9218 10.9218i −0.470000 0.470000i
\(541\) 15.3392 4.11014i 0.659485 0.176709i 0.0864715 0.996254i \(-0.472441\pi\)
0.573014 + 0.819546i \(0.305774\pi\)
\(542\) −8.65161 + 4.99501i −0.371618 + 0.214554i
\(543\) −15.9164 + 9.18935i −0.683039 + 0.394353i
\(544\) 0.769155 + 2.87053i 0.0329772 + 0.123073i
\(545\) −21.0853 −0.903197
\(546\) 7.54151 + 8.56872i 0.322747 + 0.366707i
\(547\) 29.5180 1.26210 0.631048 0.775743i \(-0.282625\pi\)
0.631048 + 0.775743i \(0.282625\pi\)
\(548\) 3.25245 + 12.1383i 0.138938 + 0.518524i
\(549\) 1.26918 0.732762i 0.0541673 0.0312735i
\(550\) 2.47658 1.42985i 0.105602 0.0609692i
\(551\) 6.37327 1.70771i 0.271510 0.0727510i
\(552\) −8.49558 8.49558i −0.361596 0.361596i
\(553\) −10.0046 10.8118i −0.425439 0.459764i
\(554\) 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
\(557\) −0.525477 + 1.96111i −0.0222652 + 0.0830947i −0.976164 0.217032i \(-0.930362\pi\)
0.953899 + 0.300127i \(0.0970290\pi\)
\(558\) 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 \(0.000629102\pi\)
−0.498287 + 0.867012i \(0.666038\pi\)
\(564\) 26.6113 + 7.13048i 1.12054 + 0.300247i
\(565\) −20.9157 + 5.60434i −0.879930 + 0.235777i
\(566\) 5.99639 5.99639i 0.252047 0.252047i
\(567\) −21.3047 + 4.83226i −0.894714 + 0.202936i
\(568\) 6.74629 0.283068
\(569\) −19.7784 11.4191i −0.829154 0.478712i 0.0244092 0.999702i \(-0.492230\pi\)
−0.853563 + 0.520990i \(0.825563\pi\)
\(570\) −6.14508 1.64657i −0.257389 0.0689672i
\(571\) −14.3799 + 8.30223i −0.601779 + 0.347437i −0.769741 0.638356i \(-0.779615\pi\)
0.167962 + 0.985793i \(0.446281\pi\)
\(572\) 14.9812 8.15861i 0.626395 0.341129i
\(573\) 18.9111i 0.790021i
\(574\) −9.75703 10.5442i −0.407251 0.440108i
\(575\) −3.59418 −0.149888
\(576\) −0.372961 0.215329i −0.0155401 0.00897206i
\(577\) −6.37286 + 23.7838i −0.265306 + 0.990134i 0.696757 + 0.717307i \(0.254625\pi\)
−0.962063 + 0.272827i \(0.912041\pi\)
\(578\) −11.6266 3.11533i −0.483602 0.129581i
\(579\) 5.37316 + 20.0529i 0.223301 + 0.833371i
\(580\) 4.88463 4.88463i 0.202823 0.202823i
\(581\) −19.4051 + 10.2223i −0.805061 + 0.424091i
\(582\) 11.9254i 0.494325i
\(583\) −21.1064 + 5.65543i −0.874136 + 0.234224i
\(584\) −0.327249 0.566812i −0.0135417 0.0234548i
\(585\) 1.60636 + 0.0400368i 0.0664147 + 0.00165532i
\(586\) −16.3340 9.43043i −0.674751 0.389567i
\(587\) −30.7522 30.7522i −1.26928 1.26928i −0.946461 0.322819i \(-0.895369\pi\)
−0.322819 0.946461i \(-0.604631\pi\)
\(588\) −15.5875 + 7.45450i −0.642816 + 0.307418i
\(589\) 8.77508i 0.361571i
\(590\) 1.39777 + 5.21657i 0.0575455 + 0.214763i
\(591\) −8.48851 + 31.6796i −0.349171 + 1.30312i
\(592\) 2.93653 10.9593i 0.120690 0.450423i
\(593\) 2.54948 + 9.51478i 0.104694 + 0.390725i 0.998310 0.0581076i \(-0.0185066\pi\)
−0.893616 + 0.448833i \(0.851840\pi\)
\(594\) 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
\(598\) 7.47041 + 0.186192i 0.305488 + 0.00761396i
\(599\) 20.3493 + 35.2461i 0.831452 + 1.44012i 0.896887 + 0.442260i \(0.145823\pi\)
−0.0654350 + 0.997857i \(0.520844\pi\)
\(600\) 5.01946 1.34496i 0.204919 0.0549078i
\(601\) 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
\(604\) −2.48251 9.26484i −0.101012 0.376981i
\(605\) −1.54018 0.412690i −0.0626173 0.0167782i
\(606\) −1.46163 + 5.45488i −0.0593747 + 0.221589i
\(607\) −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
\(609\) −2.34179 10.3246i −0.0948942 0.418374i
\(610\) 8.87356i 0.359280i
\(611\) −35.3421 + 19.2470i −1.42979 + 0.778649i
\(612\) 0.150182 0.0867077i 0.00607076 0.00350495i
\(613\) −19.3947 5.19678i −0.783343 0.209896i −0.155085 0.987901i \(-0.549565\pi\)
−0.628258 + 0.778005i \(0.716232\pi\)
\(614\) −1.13777 0.656892i −0.0459167 0.0265100i
\(615\) 24.3507 0.981915
\(616\) −4.67534 20.6129i −0.188375 0.830516i
\(617\) −2.09240 + 2.09240i −0.0842369 + 0.0842369i −0.747970 0.663733i \(-0.768971\pi\)
0.663733 + 0.747970i \(0.268971\pi\)
\(618\) −5.15429 + 1.38109i −0.207336 + 0.0555555i
\(619\) 34.4009 + 9.21770i 1.38269 + 0.370491i 0.872098 0.489332i \(-0.162759\pi\)
0.510593 + 0.859823i \(0.329426\pi\)
\(620\) 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
\(626\) −4.73025 + 17.6535i −0.189059 + 0.705578i
\(627\) 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
\(630\) 0.250976 0.809741i 0.00999910 0.0322609i
\(631\) 9.03483 + 9.03483i 0.359671 + 0.359671i 0.863692 0.504021i \(-0.168146\pi\)
−0.504021 + 0.863692i \(0.668146\pi\)
\(632\) 13.4675 3.60859i 0.535707 0.143542i
\(633\) 27.1755 15.6898i 1.08013 0.623613i
\(634\) 18.9303 10.9294i 0.751817 0.434062i
\(635\) −7.39399 27.5948i −0.293422 1.09506i
\(636\) −16.9069 −0.670401
\(637\) 8.99086 23.5831i 0.356231 0.934398i
\(638\) 5.51443 0.218318
\(639\) −0.160396 0.598604i −0.00634515 0.0236804i
\(640\) 17.3601 10.0228i 0.686217 0.396187i
\(641\) 15.8985 9.17899i 0.627952 0.362548i −0.152007 0.988379i \(-0.548574\pi\)
0.779958 + 0.625831i \(0.215240\pi\)
\(642\) 22.3196 5.98052i 0.880884 0.236032i
\(643\) −29.9544 29.9544i −1.18129 1.18129i −0.979412 0.201874i \(-0.935297\pi\)
−0.201874 0.979412i \(-0.564703\pi\)
\(644\) −3.34872 + 10.8042i −0.131958 + 0.425746i
\(645\) 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 \(-0.293498\pi\)
−0.992180 + 0.124819i \(0.960165\pi\)
\(648\) 5.35168 19.9728i 0.210234 0.784604i
\(649\) 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
\(655\) −37.8285 10.1361i −1.47808 0.396051i
\(656\) −8.50367 + 2.27855i −0.332013 + 0.0889625i
\(657\) −0.0425133 + 0.0425133i −0.00165860 + 0.00165860i
\(658\) 4.69636 + 20.7055i 0.183083 + 0.807185i
\(659\) 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
\(661\) 25.7149 + 6.89030i 1.00020 + 0.268001i 0.721527 0.692386i \(-0.243440\pi\)
0.278668 + 0.960388i \(0.410107\pi\)
\(662\) 1.17872 0.680535i 0.0458123 0.0264497i
\(663\) 0.862609 2.92566i 0.0335009 0.113623i
\(664\) 20.7597i 0.805634i
\(665\) 3.11148 + 13.7181i 0.120658 + 0.531963i
\(666\) 1.60978 0.0623776
\(667\) −6.00218 3.46536i −0.232405 0.134179i
\(668\) −1.34357 + 5.01428i −0.0519844 + 0.194008i
\(669\) −22.3530 5.98946i −0.864215 0.231566i
\(670\) 2.44936 + 9.14113i 0.0946270 + 0.353153i
\(671\) −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 \(-0.0134081\pi\)
\(674\) −11.0188 + 2.95247i −0.424428 + 0.113725i
\(675\) −3.35133 5.80468i −0.128993 0.223422i
\(676\) −10.4599 + 16.1961i −0.402303 + 0.622926i
\(677\) −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
\(681\) −6.74393 25.1687i −0.258428 0.964467i
\(682\) −1.89814 + 7.08397i −0.0726837 + 0.271259i
\(683\) −3.07935 + 11.4923i −0.117828 + 0.439740i −0.999483 0.0321547i \(-0.989763\pi\)
0.881655 + 0.471895i \(0.156430\pi\)
\(684\) −0.242328 0.904382i −0.00926566 0.0345799i
\(685\) 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
\(689\) 17.8926 17.0224i 0.681655 0.648503i
\(690\) 3.34129 + 5.78728i 0.127201 + 0.220318i
\(691\) 36.2075 9.70177i 1.37740 0.369073i 0.507223 0.861815i \(-0.330672\pi\)
0.870175 + 0.492742i \(0.164005\pi\)
\(692\) 36.7388i 1.39660i
\(693\) −1.71784 + 0.904926i −0.0652554 + 0.0343753i
\(694\) −8.23664 + 8.23664i −0.312659 + 0.312659i
\(695\) 1.21803 + 4.54574i 0.0462024 + 0.172430i
\(696\) 9.67912 + 2.59351i 0.366886 + 0.0983068i
\(697\) −0.993546 + 3.70797i −0.0376333 + 0.140449i
\(698\) 16.4715 + 9.50980i 0.623454 + 0.359951i
\(699\) −5.27603 −0.199558
\(700\) −3.32277 3.59086i −0.125589 0.135722i
\(701\) 31.0974i 1.17453i −0.809394 0.587266i \(-0.800204\pi\)
0.809394 0.587266i \(-0.199796\pi\)
\(702\) 6.66495 + 12.2385i 0.251552 + 0.461912i
\(703\) −23.1322 + 13.3554i −0.872449 + 0.503709i
\(704\) 5.76873 + 1.54573i 0.217417 + 0.0582568i
\(705\) −31.1665 17.9940i −1.17380 0.677692i
\(706\) 16.4944 0.620776
\(707\) 12.1773 2.76201i 0.457973 0.103876i
\(708\) 6.76734 6.76734i 0.254332 0.254332i
\(709\) −14.6318 + 3.92057i −0.549508 + 0.147240i −0.522882 0.852405i \(-0.675143\pi\)
−0.0266262 + 0.999645i \(0.508476\pi\)
\(710\) −3.62447 0.971174i −0.136024 0.0364475i
\(711\) −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
\(717\) 4.58262 17.1026i 0.171141 0.638707i
\(718\) 2.67834 + 4.63902i 0.0999548 + 0.173127i
\(719\) 10.7088 18.5482i 0.399371 0.691732i −0.594277 0.804260i \(-0.702562\pi\)
0.993648 + 0.112529i \(0.0358951\pi\)
\(720\) −0.367348 0.367348i −0.0136903 0.0136903i
\(721\) 8.01328 + 8.65980i 0.298430 + 0.322508i
\(722\) 5.83051 + 5.83051i 0.216989 + 0.216989i
\(723\) −3.15257 + 0.844729i −0.117245 + 0.0314158i
\(724\) −14.1832 + 8.18868i −0.527115 + 0.304330i
\(725\) 2.59606 1.49884i 0.0964152 0.0556654i
\(726\) −0.254901 0.951303i −0.00946026 0.0353062i
\(727\) 39.0080 1.44673 0.723363 0.690468i \(-0.242595\pi\)
0.723363 + 0.690468i \(0.242595\pi\)
\(728\) 15.7828 + 17.9326i 0.584951 + 0.664626i
\(729\) −28.7407 −1.06447
\(730\) 0.0942194 + 0.351632i 0.00348722 + 0.0130145i
\(731\) −5.53489 + 3.19557i −0.204715 + 0.118192i
\(732\) −13.6182 + 7.86249i −0.503344 + 0.290606i
\(733\) 1.60598 0.430322i 0.0593183 0.0158943i −0.229038 0.973418i \(-0.573558\pi\)
0.288356 + 0.957523i \(0.406891\pi\)
\(734\) 17.8448 + 17.8448i 0.658663 + 0.658663i
\(735\) 22.1880 4.13587i 0.818416 0.152554i
\(736\) −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
\(739\) 9.36946 34.9673i 0.344661 1.28629i −0.548346 0.836251i \(-0.684742\pi\)
0.893008 0.450042i \(-0.148591\pi\)
\(740\) −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
\(746\) −10.8712 2.91292i −0.398022 0.106650i
\(747\) −1.84203 + 0.493571i −0.0673964 + 0.0180588i
\(748\) −1.70050 + 1.70050i −0.0621764 + 0.0621764i
\(749\) −34.6999 37.4995i −1.26791 1.37020i
\(750\) −14.4812 −0.528780
\(751\) −11.5377 6.66132i −0.421018 0.243075i 0.274495 0.961589i \(-0.411489\pi\)
−0.695513 + 0.718514i \(0.744823\pi\)
\(752\) 12.5676 + 3.36747i 0.458293 + 0.122799i
\(753\) −2.36604 + 1.36604i −0.0862234 + 0.0497811i
\(754\) −5.47348 + 2.98080i −0.199333 + 0.108554i
\(755\) 12.5293i 0.455989i
\(756\) −20.5715 + 4.66596i −0.748178 + 0.169699i
\(757\) 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
\(759\) 3.96131 14.7838i 0.143786 0.536618i
\(760\) −12.8604 3.44594i −0.466496 0.124997i
\(761\) −1.79513 6.69953i −0.0650735 0.242858i 0.925726 0.378195i \(-0.123455\pi\)
−0.990800 + 0.135337i \(0.956788\pi\)
\(762\) 12.4771 12.4771i 0.451999 0.451999i
\(763\) −15.3534 + 24.3613i −0.555829 + 0.881939i
\(764\) 16.8517i 0.609675i
\(765\) −0.218809 + 0.0586298i −0.00791107 + 0.00211976i
\(766\) −0.354291 0.613650i −0.0128011 0.0221721i
\(767\) −0.348325 + 13.9755i −0.0125773 + 0.504626i
\(768\) 16.1192 + 9.30643i 0.581652 + 0.335817i
\(769\) 12.5271 + 12.5271i 0.451740 + 0.451740i 0.895932 0.444192i \(-0.146509\pi\)
−0.444192 + 0.895932i \(0.646509\pi\)
\(770\) −0.455516 + 11.7474i −0.0164157 + 0.423347i
\(771\) 36.3213i 1.30808i
\(772\) 4.78805 + 17.8692i 0.172326 + 0.643128i
\(773\) −12.6706 + 47.2874i −0.455730 + 1.70081i