Properties

Label 273.2.cg.a.124.4
Level $273$
Weight $2$
Character 273.124
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 124.4
Character \(\chi\) \(=\) 273.124
Dual form 273.2.cg.a.262.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.273028 + 1.01896i) q^{2} +1.00000i q^{3} +(0.768324 + 0.443592i) q^{4} +(1.01943 + 3.80456i) q^{5} +(-1.01896 - 0.273028i) q^{6} +(1.44977 - 2.21318i) q^{7} +(-2.15363 + 2.15363i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.273028 + 1.01896i) q^{2} +1.00000i q^{3} +(0.768324 + 0.443592i) q^{4} +(1.01943 + 3.80456i) q^{5} +(-1.01896 - 0.273028i) q^{6} +(1.44977 - 2.21318i) q^{7} +(-2.15363 + 2.15363i) q^{8} -1.00000 q^{9} -4.15502 q^{10} +(0.669085 - 0.669085i) q^{11} +(-0.443592 + 0.768324i) q^{12} +(0.783899 - 3.51930i) q^{13} +(1.85931 + 2.08151i) q^{14} +(-3.80456 + 1.01943i) q^{15} +(-0.719268 - 1.24581i) q^{16} +(3.98087 - 6.89506i) q^{17} +(0.273028 - 1.01896i) q^{18} +(-1.23405 + 1.23405i) q^{19} +(-0.904422 + 3.37535i) q^{20} +(2.21318 + 1.44977i) q^{21} +(0.499089 + 0.864448i) q^{22} +(-6.00569 + 3.46739i) q^{23} +(-2.15363 - 2.15363i) q^{24} +(-9.10535 + 5.25697i) q^{25} +(3.37199 + 1.75963i) q^{26} -1.00000i q^{27} +(2.09564 - 1.05734i) q^{28} +(1.71573 - 2.97173i) q^{29} -4.15502i q^{30} +(-4.37613 - 1.17258i) q^{31} +(-4.41802 + 1.18381i) q^{32} +(0.669085 + 0.669085i) q^{33} +(5.93888 + 5.93888i) q^{34} +(9.89813 + 3.25954i) q^{35} +(-0.768324 - 0.443592i) q^{36} +(9.40483 + 2.52002i) q^{37} +(-0.920514 - 1.59438i) q^{38} +(3.51930 + 0.783899i) q^{39} +(-10.3891 - 5.99815i) q^{40} +(0.117207 + 0.437421i) q^{41} +(-2.08151 + 1.85931i) q^{42} +(0.0936549 - 0.0540717i) q^{43} +(0.810875 - 0.217273i) q^{44} +(-1.01943 - 3.80456i) q^{45} +(-1.89339 - 7.06623i) q^{46} +(4.45738 - 1.19435i) q^{47} +(1.24581 - 0.719268i) q^{48} +(-2.79636 - 6.41720i) q^{49} +(-2.87061 - 10.7132i) q^{50} +(6.89506 + 3.98087i) q^{51} +(2.16342 - 2.35623i) q^{52} +(0.747827 + 1.29527i) q^{53} +(1.01896 + 0.273028i) q^{54} +(3.22766 + 1.86349i) q^{55} +(1.64412 + 7.88864i) q^{56} +(-1.23405 - 1.23405i) q^{57} +(2.55962 + 2.55962i) q^{58} +(-4.68445 + 1.25519i) q^{59} +(-3.37535 - 0.904422i) q^{60} -6.61892i q^{61} +(2.38961 - 4.13893i) q^{62} +(-1.44977 + 2.21318i) q^{63} -7.70205i q^{64} +(14.1885 - 0.605291i) q^{65} +(-0.864448 + 0.499089i) q^{66} +(3.19896 + 3.19896i) q^{67} +(6.11719 - 3.53176i) q^{68} +(-3.46739 - 6.00569i) q^{69} +(-6.02380 + 9.19581i) q^{70} +(-2.68009 + 10.0022i) q^{71} +(2.15363 - 2.15363i) q^{72} +(1.05974 - 3.95501i) q^{73} +(-5.13557 + 8.89507i) q^{74} +(-5.25697 - 9.10535i) q^{75} +(-1.49557 + 0.400736i) q^{76} +(-0.510791 - 2.45082i) q^{77} +(-1.75963 + 3.37199i) q^{78} +(0.473848 - 0.820728i) q^{79} +(4.00652 - 4.00652i) q^{80} +1.00000 q^{81} -0.477714 q^{82} +(8.26062 - 8.26062i) q^{83} +(1.05734 + 2.09564i) q^{84} +(30.2909 + 8.11643i) q^{85} +(0.0295262 + 0.110193i) q^{86} +(2.97173 + 1.71573i) q^{87} +2.88192i q^{88} +(-1.38773 + 5.17908i) q^{89} +4.15502 q^{90} +(-6.65239 - 6.83708i) q^{91} -6.15242 q^{92} +(1.17258 - 4.37613i) q^{93} +4.86796i q^{94} +(-5.95306 - 3.43700i) q^{95} +(-1.18381 - 4.41802i) q^{96} +(11.5503 + 3.09490i) q^{97} +(7.30232 - 1.09729i) q^{98} +(-0.669085 + 0.669085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.273028 + 1.01896i −0.193060 + 0.720511i 0.799700 + 0.600400i \(0.204992\pi\)
−0.992760 + 0.120111i \(0.961675\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.768324 + 0.443592i 0.384162 + 0.221796i
\(5\) 1.01943 + 3.80456i 0.455903 + 1.70145i 0.685420 + 0.728148i \(0.259619\pi\)
−0.229517 + 0.973305i \(0.573715\pi\)
\(6\) −1.01896 0.273028i −0.415987 0.111463i
\(7\) 1.44977 2.21318i 0.547960 0.836504i
\(8\) −2.15363 + 2.15363i −0.761423 + 0.761423i
\(9\) −1.00000 −0.333333
\(10\) −4.15502 −1.31393
\(11\) 0.669085 0.669085i 0.201737 0.201737i −0.599007 0.800744i \(-0.704438\pi\)
0.800744 + 0.599007i \(0.204438\pi\)
\(12\) −0.443592 + 0.768324i −0.128054 + 0.221796i
\(13\) 0.783899 3.51930i 0.217414 0.976079i
\(14\) 1.85931 + 2.08151i 0.496921 + 0.556307i
\(15\) −3.80456 + 1.01943i −0.982334 + 0.263216i
\(16\) −0.719268 1.24581i −0.179817 0.311452i
\(17\) 3.98087 6.89506i 0.965502 1.67230i 0.257242 0.966347i \(-0.417186\pi\)
0.708260 0.705952i \(-0.249481\pi\)
\(18\) 0.273028 1.01896i 0.0643534 0.240170i
\(19\) −1.23405 + 1.23405i −0.283111 + 0.283111i −0.834348 0.551237i \(-0.814156\pi\)
0.551237 + 0.834348i \(0.314156\pi\)
\(20\) −0.904422 + 3.37535i −0.202235 + 0.754751i
\(21\) 2.21318 + 1.44977i 0.482956 + 0.316365i
\(22\) 0.499089 + 0.864448i 0.106406 + 0.184301i
\(23\) −6.00569 + 3.46739i −1.25227 + 0.723000i −0.971560 0.236792i \(-0.923904\pi\)
−0.280712 + 0.959792i \(0.590571\pi\)
\(24\) −2.15363 2.15363i −0.439608 0.439608i
\(25\) −9.10535 + 5.25697i −1.82107 + 1.05139i
\(26\) 3.37199 + 1.75963i 0.661302 + 0.345092i
\(27\) 1.00000i 0.192450i
\(28\) 2.09564 1.05734i 0.396039 0.199818i
\(29\) 1.71573 2.97173i 0.318603 0.551836i −0.661594 0.749862i \(-0.730120\pi\)
0.980197 + 0.198026i \(0.0634531\pi\)
\(30\) 4.15502i 0.758599i
\(31\) −4.37613 1.17258i −0.785976 0.210602i −0.156558 0.987669i \(-0.550040\pi\)
−0.629418 + 0.777067i \(0.716707\pi\)
\(32\) −4.41802 + 1.18381i −0.781003 + 0.209269i
\(33\) 0.669085 + 0.669085i 0.116473 + 0.116473i
\(34\) 5.93888 + 5.93888i 1.01851 + 1.01851i
\(35\) 9.89813 + 3.25954i 1.67309 + 0.550964i
\(36\) −0.768324 0.443592i −0.128054 0.0739320i
\(37\) 9.40483 + 2.52002i 1.54614 + 0.414288i 0.928245 0.371969i \(-0.121317\pi\)
0.617899 + 0.786257i \(0.287984\pi\)
\(38\) −0.920514 1.59438i −0.149327 0.258642i
\(39\) 3.51930 + 0.783899i 0.563540 + 0.125524i
\(40\) −10.3891 5.99815i −1.64266 0.948391i
\(41\) 0.117207 + 0.437421i 0.0183046 + 0.0683137i 0.974474 0.224500i \(-0.0720750\pi\)
−0.956169 + 0.292814i \(0.905408\pi\)
\(42\) −2.08151 + 1.85931i −0.321184 + 0.286898i
\(43\) 0.0936549 0.0540717i 0.0142822 0.00824585i −0.492842 0.870119i \(-0.664042\pi\)
0.507124 + 0.861873i \(0.330709\pi\)
\(44\) 0.810875 0.217273i 0.122244 0.0327552i
\(45\) −1.01943 3.80456i −0.151968 0.567151i
\(46\) −1.89339 7.06623i −0.279165 1.04186i
\(47\) 4.45738 1.19435i 0.650175 0.174214i 0.0813671 0.996684i \(-0.474071\pi\)
0.568808 + 0.822470i \(0.307405\pi\)
\(48\) 1.24581 0.719268i 0.179817 0.103817i
\(49\) −2.79636 6.41720i −0.399479 0.916742i
\(50\) −2.87061 10.7132i −0.405965 1.51508i
\(51\) 6.89506 + 3.98087i 0.965502 + 0.557433i
\(52\) 2.16342 2.35623i 0.300013 0.326751i
\(53\) 0.747827 + 1.29527i 0.102722 + 0.177920i 0.912805 0.408395i \(-0.133911\pi\)
−0.810083 + 0.586315i \(0.800578\pi\)
\(54\) 1.01896 + 0.273028i 0.138662 + 0.0371545i
\(55\) 3.22766 + 1.86349i 0.435218 + 0.251273i
\(56\) 1.64412 + 7.88864i 0.219704 + 1.05416i
\(57\) −1.23405 1.23405i −0.163454 0.163454i
\(58\) 2.55962 + 2.55962i 0.336094 + 0.336094i
\(59\) −4.68445 + 1.25519i −0.609863 + 0.163412i −0.550515 0.834825i \(-0.685569\pi\)
−0.0593479 + 0.998237i \(0.518902\pi\)
\(60\) −3.37535 0.904422i −0.435756 0.116760i
\(61\) 6.61892i 0.847465i −0.905787 0.423733i \(-0.860720\pi\)
0.905787 0.423733i \(-0.139280\pi\)
\(62\) 2.38961 4.13893i 0.303481 0.525645i
\(63\) −1.44977 + 2.21318i −0.182653 + 0.278835i
\(64\) 7.70205i 0.962757i
\(65\) 14.1885 0.605291i 1.75987 0.0750771i
\(66\) −0.864448 + 0.499089i −0.106406 + 0.0614336i
\(67\) 3.19896 + 3.19896i 0.390815 + 0.390815i 0.874978 0.484163i \(-0.160876\pi\)
−0.484163 + 0.874978i \(0.660876\pi\)
\(68\) 6.11719 3.53176i 0.741819 0.428289i
\(69\) −3.46739 6.00569i −0.417424 0.723000i
\(70\) −6.02380 + 9.19581i −0.719982 + 1.09911i
\(71\) −2.68009 + 10.0022i −0.318068 + 1.18705i 0.603030 + 0.797718i \(0.293960\pi\)
−0.921099 + 0.389329i \(0.872707\pi\)
\(72\) 2.15363 2.15363i 0.253808 0.253808i
\(73\) 1.05974 3.95501i 0.124033 0.462899i −0.875770 0.482729i \(-0.839646\pi\)
0.999803 + 0.0198296i \(0.00631239\pi\)
\(74\) −5.13557 + 8.89507i −0.596998 + 1.03403i
\(75\) −5.25697 9.10535i −0.607023 1.05139i
\(76\) −1.49557 + 0.400736i −0.171553 + 0.0459676i
\(77\) −0.510791 2.45082i −0.0582100 0.279297i
\(78\) −1.75963 + 3.37199i −0.199239 + 0.381803i
\(79\) 0.473848 0.820728i 0.0533120 0.0923391i −0.838138 0.545459i \(-0.816356\pi\)
0.891450 + 0.453119i \(0.149689\pi\)
\(80\) 4.00652 4.00652i 0.447942 0.447942i
\(81\) 1.00000 0.111111
\(82\) −0.477714 −0.0527546
\(83\) 8.26062 8.26062i 0.906721 0.906721i −0.0892850 0.996006i \(-0.528458\pi\)
0.996006 + 0.0892850i \(0.0284582\pi\)
\(84\) 1.05734 + 2.09564i 0.115365 + 0.228653i
\(85\) 30.2909 + 8.11643i 3.28551 + 0.880351i
\(86\) 0.0295262 + 0.110193i 0.00318389 + 0.0118824i
\(87\) 2.97173 + 1.71573i 0.318603 + 0.183945i
\(88\) 2.88192i 0.307214i
\(89\) −1.38773 + 5.17908i −0.147099 + 0.548982i 0.852554 + 0.522639i \(0.175053\pi\)
−0.999653 + 0.0263421i \(0.991614\pi\)
\(90\) 4.15502 0.437977
\(91\) −6.65239 6.83708i −0.697360 0.716721i
\(92\) −6.15242 −0.641434
\(93\) 1.17258 4.37613i 0.121591 0.453783i
\(94\) 4.86796i 0.502092i
\(95\) −5.95306 3.43700i −0.610771 0.352629i
\(96\) −1.18381 4.41802i −0.120822 0.450913i
\(97\) 11.5503 + 3.09490i 1.17276 + 0.314240i 0.792050 0.610456i \(-0.209014\pi\)
0.380708 + 0.924695i \(0.375680\pi\)
\(98\) 7.30232 1.09729i 0.737646 0.110843i
\(99\) −0.669085 + 0.669085i −0.0672456 + 0.0672456i
\(100\) −9.32781 −0.932781
\(101\) −18.7168 −1.86239 −0.931194 0.364525i \(-0.881232\pi\)
−0.931194 + 0.364525i \(0.881232\pi\)
\(102\) −5.93888 + 5.93888i −0.588036 + 0.588036i
\(103\) −3.28825 + 5.69542i −0.324001 + 0.561186i −0.981310 0.192435i \(-0.938361\pi\)
0.657309 + 0.753621i \(0.271695\pi\)
\(104\) 5.89105 + 9.26751i 0.577665 + 0.908754i
\(105\) −3.25954 + 9.89813i −0.318099 + 0.965959i
\(106\) −1.52400 + 0.408356i −0.148024 + 0.0396630i
\(107\) −2.59676 4.49772i −0.251038 0.434811i 0.712774 0.701394i \(-0.247439\pi\)
−0.963812 + 0.266583i \(0.914105\pi\)
\(108\) 0.443592 0.768324i 0.0426847 0.0739320i
\(109\) −2.95407 + 11.0247i −0.282949 + 1.05598i 0.667377 + 0.744720i \(0.267417\pi\)
−0.950325 + 0.311259i \(0.899249\pi\)
\(110\) −2.78006 + 2.78006i −0.265068 + 0.265068i
\(111\) −2.52002 + 9.40483i −0.239189 + 0.892667i
\(112\) −3.79997 0.214260i −0.359064 0.0202456i
\(113\) −1.34429 2.32838i −0.126460 0.219036i 0.795842 0.605504i \(-0.207028\pi\)
−0.922303 + 0.386468i \(0.873695\pi\)
\(114\) 1.59438 0.920514i 0.149327 0.0862140i
\(115\) −19.3143 19.3143i −1.80107 1.80107i
\(116\) 2.63647 1.52217i 0.244790 0.141330i
\(117\) −0.783899 + 3.51930i −0.0724715 + 0.325360i
\(118\) 5.11595i 0.470961i
\(119\) −9.48871 18.8066i −0.869829 1.72400i
\(120\) 5.99815 10.3891i 0.547554 0.948391i
\(121\) 10.1046i 0.918605i
\(122\) 6.74438 + 1.80715i 0.610608 + 0.163612i
\(123\) −0.437421 + 0.117207i −0.0394409 + 0.0105682i
\(124\) −2.84214 2.84214i −0.255231 0.255231i
\(125\) −15.3571 15.3571i −1.37358 1.37358i
\(126\) −1.85931 2.08151i −0.165640 0.185436i
\(127\) −7.89995 4.56104i −0.701007 0.404727i 0.106715 0.994290i \(-0.465967\pi\)
−0.807722 + 0.589563i \(0.799300\pi\)
\(128\) −0.987991 0.264731i −0.0873269 0.0233992i
\(129\) 0.0540717 + 0.0936549i 0.00476074 + 0.00824585i
\(130\) −3.25711 + 14.6228i −0.285668 + 1.28250i
\(131\) −6.79059 3.92055i −0.593297 0.342540i 0.173103 0.984904i \(-0.444621\pi\)
−0.766400 + 0.642364i \(0.777954\pi\)
\(132\) 0.217273 + 0.810875i 0.0189112 + 0.0705776i
\(133\) 0.942096 + 4.52027i 0.0816901 + 0.391957i
\(134\) −4.13300 + 2.38619i −0.357037 + 0.206135i
\(135\) 3.80456 1.01943i 0.327445 0.0877386i
\(136\) 6.27610 + 23.4227i 0.538171 + 2.00848i
\(137\) 1.96981 + 7.35143i 0.168292 + 0.628075i 0.997597 + 0.0692792i \(0.0220699\pi\)
−0.829305 + 0.558796i \(0.811263\pi\)
\(138\) 7.06623 1.89339i 0.601517 0.161176i
\(139\) −3.86004 + 2.22859i −0.327404 + 0.189027i −0.654688 0.755899i \(-0.727200\pi\)
0.327284 + 0.944926i \(0.393867\pi\)
\(140\) 6.15906 + 6.89512i 0.520536 + 0.582744i
\(141\) 1.19435 + 4.45738i 0.100582 + 0.375379i
\(142\) −9.46010 5.46179i −0.793874 0.458343i
\(143\) −1.83022 2.87921i −0.153051 0.240772i
\(144\) 0.719268 + 1.24581i 0.0599390 + 0.103817i
\(145\) 13.0552 + 3.49813i 1.08417 + 0.290504i
\(146\) 3.74064 + 2.15966i 0.309578 + 0.178735i
\(147\) 6.41720 2.79636i 0.529281 0.230640i
\(148\) 6.10810 + 6.10810i 0.502082 + 0.502082i
\(149\) 0.532092 + 0.532092i 0.0435907 + 0.0435907i 0.728566 0.684975i \(-0.240187\pi\)
−0.684975 + 0.728566i \(0.740187\pi\)
\(150\) 10.7132 2.87061i 0.874733 0.234384i
\(151\) 0.0631804 + 0.0169291i 0.00514154 + 0.00137767i 0.261389 0.965234i \(-0.415819\pi\)
−0.256247 + 0.966611i \(0.582486\pi\)
\(152\) 5.31538i 0.431135i
\(153\) −3.98087 + 6.89506i −0.321834 + 0.557433i
\(154\) 2.63674 + 0.148672i 0.212475 + 0.0119803i
\(155\) 17.8446i 1.43331i
\(156\) 2.35623 + 2.16342i 0.188650 + 0.173213i
\(157\) 6.41355 3.70286i 0.511857 0.295521i −0.221740 0.975106i \(-0.571174\pi\)
0.733597 + 0.679585i \(0.237840\pi\)
\(158\) 0.706912 + 0.706912i 0.0562389 + 0.0562389i
\(159\) −1.29527 + 0.747827i −0.102722 + 0.0593065i
\(160\) −9.00773 15.6018i −0.712124 1.23343i
\(161\) −1.03289 + 18.3186i −0.0814028 + 1.44371i
\(162\) −0.273028 + 1.01896i −0.0214511 + 0.0800567i
\(163\) −3.27600 + 3.27600i −0.256596 + 0.256596i −0.823668 0.567072i \(-0.808076\pi\)
0.567072 + 0.823668i \(0.308076\pi\)
\(164\) −0.103984 + 0.388073i −0.00811978 + 0.0303034i
\(165\) −1.86349 + 3.22766i −0.145073 + 0.251273i
\(166\) 6.16183 + 10.6726i 0.478250 + 0.828354i
\(167\) −12.2105 + 3.27179i −0.944874 + 0.253178i −0.698186 0.715916i \(-0.746009\pi\)
−0.246688 + 0.969095i \(0.579342\pi\)
\(168\) −7.88864 + 1.64412i −0.608622 + 0.126846i
\(169\) −11.7710 5.51756i −0.905462 0.424427i
\(170\) −16.5406 + 28.6491i −1.26860 + 2.19729i
\(171\) 1.23405 1.23405i 0.0943703 0.0943703i
\(172\) 0.0959431 0.00731559
\(173\) 18.3187 1.39275 0.696374 0.717679i \(-0.254795\pi\)
0.696374 + 0.717679i \(0.254795\pi\)
\(174\) −2.55962 + 2.55962i −0.194044 + 0.194044i
\(175\) −1.56598 + 27.7732i −0.118377 + 2.09945i
\(176\) −1.31480 0.352301i −0.0991070 0.0265557i
\(177\) −1.25519 4.68445i −0.0943462 0.352105i
\(178\) −4.89837 2.82807i −0.367148 0.211973i
\(179\) 17.9406i 1.34095i −0.741934 0.670473i \(-0.766091\pi\)
0.741934 0.670473i \(-0.233909\pi\)
\(180\) 0.904422 3.37535i 0.0674116 0.251584i
\(181\) 11.3348 0.842512 0.421256 0.906942i \(-0.361589\pi\)
0.421256 + 0.906942i \(0.361589\pi\)
\(182\) 8.78298 4.91178i 0.651037 0.364085i
\(183\) 6.61892 0.489284
\(184\) 5.46657 20.4015i 0.403001 1.50402i
\(185\) 38.3503i 2.81957i
\(186\) 4.13893 + 2.38961i 0.303481 + 0.175215i
\(187\) −1.94985 7.27693i −0.142587 0.532141i
\(188\) 3.95451 + 1.05961i 0.288413 + 0.0772799i
\(189\) −2.21318 1.44977i −0.160985 0.105455i
\(190\) 5.12751 5.12751i 0.371989 0.371989i
\(191\) −14.6688 −1.06139 −0.530697 0.847562i \(-0.678070\pi\)
−0.530697 + 0.847562i \(0.678070\pi\)
\(192\) 7.70205 0.555848
\(193\) 8.28684 8.28684i 0.596500 0.596500i −0.342880 0.939379i \(-0.611402\pi\)
0.939379 + 0.342880i \(0.111402\pi\)
\(194\) −6.30714 + 10.9243i −0.452826 + 0.784318i
\(195\) 0.605291 + 14.1885i 0.0433458 + 1.01606i
\(196\) 0.698110 6.17093i 0.0498650 0.440781i
\(197\) −10.2849 + 2.75584i −0.732772 + 0.196346i −0.605863 0.795569i \(-0.707172\pi\)
−0.126909 + 0.991914i \(0.540505\pi\)
\(198\) −0.499089 0.864448i −0.0354687 0.0614336i
\(199\) 10.6276 18.4076i 0.753372 1.30488i −0.192807 0.981237i \(-0.561759\pi\)
0.946179 0.323643i \(-0.104908\pi\)
\(200\) 8.28797 30.9311i 0.586048 2.18716i
\(201\) −3.19896 + 3.19896i −0.225637 + 0.225637i
\(202\) 5.11021 19.0716i 0.359553 1.34187i
\(203\) −4.08957 8.10553i −0.287032 0.568897i
\(204\) 3.53176 + 6.11719i 0.247273 + 0.428289i
\(205\) −1.54471 + 0.891841i −0.107887 + 0.0622888i
\(206\) −4.90559 4.90559i −0.341789 0.341789i
\(207\) 6.00569 3.46739i 0.417424 0.241000i
\(208\) −4.94821 + 1.55473i −0.343097 + 0.107801i
\(209\) 1.65137i 0.114228i
\(210\) −9.19581 6.02380i −0.634571 0.415682i
\(211\) −11.7558 + 20.3617i −0.809305 + 1.40176i 0.104041 + 0.994573i \(0.466823\pi\)
−0.913346 + 0.407184i \(0.866511\pi\)
\(212\) 1.32692i 0.0911332i
\(213\) −10.0022 2.68009i −0.685342 0.183637i
\(214\) 5.29197 1.41798i 0.361752 0.0969310i
\(215\) 0.301194 + 0.301194i 0.0205412 + 0.0205412i
\(216\) 2.15363 + 2.15363i 0.146536 + 0.146536i
\(217\) −8.93950 + 7.98521i −0.606853 + 0.542071i
\(218\) −10.4272 6.02014i −0.706218 0.407735i
\(219\) 3.95501 + 1.05974i 0.267255 + 0.0716107i
\(220\) 1.65326 + 2.86353i 0.111463 + 0.193059i
\(221\) −21.1452 19.4149i −1.42238 1.30599i
\(222\) −8.89507 5.13557i −0.596998 0.344677i
\(223\) 1.56806 + 5.85209i 0.105005 + 0.391885i 0.998346 0.0574955i \(-0.0183115\pi\)
−0.893341 + 0.449380i \(0.851645\pi\)
\(224\) −3.78512 + 11.4941i −0.252904 + 0.767984i
\(225\) 9.10535 5.25697i 0.607023 0.350465i
\(226\) 2.73955 0.734061i 0.182232 0.0488290i
\(227\) −5.40197 20.1604i −0.358541 1.33809i −0.875969 0.482368i \(-0.839777\pi\)
0.517427 0.855727i \(-0.326890\pi\)
\(228\) −0.400736 1.49557i −0.0265394 0.0990464i
\(229\) 21.1882 5.67737i 1.40016 0.375171i 0.521756 0.853094i \(-0.325277\pi\)
0.878402 + 0.477923i \(0.158610\pi\)
\(230\) 24.9537 14.4070i 1.64540 0.949973i
\(231\) 2.45082 0.510791i 0.161252 0.0336076i
\(232\) 2.70496 + 10.0950i 0.177589 + 0.662772i
\(233\) −9.92317 5.72914i −0.650088 0.375329i 0.138402 0.990376i \(-0.455803\pi\)
−0.788490 + 0.615048i \(0.789137\pi\)
\(234\) −3.37199 1.75963i −0.220434 0.115031i
\(235\) 9.08797 + 15.7408i 0.592833 + 1.02682i
\(236\) −4.15597 1.11359i −0.270531 0.0724884i
\(237\) 0.820728 + 0.473848i 0.0533120 + 0.0307797i
\(238\) 21.7538 4.53384i 1.41009 0.293885i
\(239\) 4.89413 + 4.89413i 0.316575 + 0.316575i 0.847450 0.530875i \(-0.178137\pi\)
−0.530875 + 0.847450i \(0.678137\pi\)
\(240\) 4.00652 + 4.00652i 0.258619 + 0.258619i
\(241\) −8.01914 + 2.14872i −0.516559 + 0.138411i −0.507674 0.861549i \(-0.669495\pi\)
−0.00888426 + 0.999961i \(0.502828\pi\)
\(242\) −10.2962 2.75886i −0.661864 0.177346i
\(243\) 1.00000i 0.0641500i
\(244\) 2.93610 5.08547i 0.187964 0.325564i
\(245\) 21.5639 17.1808i 1.37767 1.09764i
\(246\) 0.477714i 0.0304579i
\(247\) 3.37563 + 5.31038i 0.214786 + 0.337891i
\(248\) 11.9499 6.89926i 0.758817 0.438103i
\(249\) 8.26062 + 8.26062i 0.523496 + 0.523496i
\(250\) 19.8411 11.4553i 1.25486 0.724495i
\(251\) 7.81291 + 13.5324i 0.493146 + 0.854155i 0.999969 0.00789592i \(-0.00251338\pi\)
−0.506822 + 0.862050i \(0.669180\pi\)
\(252\) −2.09564 + 1.05734i −0.132013 + 0.0666060i
\(253\) −1.69834 + 6.33829i −0.106774 + 0.398485i
\(254\) 6.80441 6.80441i 0.426946 0.426946i
\(255\) −8.11643 + 30.2909i −0.508271 + 1.89689i
\(256\) 8.24155 14.2748i 0.515097 0.892174i
\(257\) 0.281936 + 0.488328i 0.0175867 + 0.0304611i 0.874685 0.484692i \(-0.161068\pi\)
−0.857098 + 0.515153i \(0.827735\pi\)
\(258\) −0.110193 + 0.0295262i −0.00686033 + 0.00183822i
\(259\) 19.2121 17.1612i 1.19378 1.06634i
\(260\) 11.1699 + 5.82887i 0.692728 + 0.361491i
\(261\) −1.71573 + 2.97173i −0.106201 + 0.183945i
\(262\) 5.84889 5.84889i 0.361346 0.361346i
\(263\) 1.80864 0.111526 0.0557628 0.998444i \(-0.482241\pi\)
0.0557628 + 0.998444i \(0.482241\pi\)
\(264\) −2.88192 −0.177370
\(265\) −4.16560 + 4.16560i −0.255891 + 0.255891i
\(266\) −4.86318 0.274208i −0.298180 0.0168128i
\(267\) −5.17908 1.38773i −0.316955 0.0849277i
\(268\) 1.03880 + 3.87687i 0.0634550 + 0.236817i
\(269\) 3.98883 + 2.30295i 0.243203 + 0.140413i 0.616648 0.787239i \(-0.288490\pi\)
−0.373445 + 0.927652i \(0.621824\pi\)
\(270\) 4.15502i 0.252866i
\(271\) −1.05005 + 3.91882i −0.0637857 + 0.238052i −0.990457 0.137821i \(-0.955990\pi\)
0.926671 + 0.375872i \(0.122657\pi\)
\(272\) −11.4532 −0.694455
\(273\) 6.83708 6.65239i 0.413799 0.402621i
\(274\) −8.02860 −0.485026
\(275\) −2.57489 + 9.60962i −0.155272 + 0.579482i
\(276\) 6.15242i 0.370332i
\(277\) −10.5733 6.10452i −0.635291 0.366785i 0.147507 0.989061i \(-0.452875\pi\)
−0.782798 + 0.622276i \(0.786208\pi\)
\(278\) −1.21694 4.54168i −0.0729871 0.272392i
\(279\) 4.37613 + 1.17258i 0.261992 + 0.0702005i
\(280\) −28.3368 + 14.2971i −1.69345 + 0.854413i
\(281\) 0.757979 0.757979i 0.0452172 0.0452172i −0.684137 0.729354i \(-0.739821\pi\)
0.729354 + 0.684137i \(0.239821\pi\)
\(282\) −4.86796 −0.289883
\(283\) 20.6773 1.22914 0.614568 0.788864i \(-0.289331\pi\)
0.614568 + 0.788864i \(0.289331\pi\)
\(284\) −6.49609 + 6.49609i −0.385472 + 0.385472i
\(285\) 3.43700 5.95306i 0.203590 0.352629i
\(286\) 3.43349 1.07881i 0.203026 0.0637912i
\(287\) 1.13802 + 0.374759i 0.0671749 + 0.0221213i
\(288\) 4.41802 1.18381i 0.260334 0.0697564i
\(289\) −23.1946 40.1742i −1.36439 2.36319i
\(290\) −7.12888 + 12.3476i −0.418622 + 0.725075i
\(291\) −3.09490 + 11.5503i −0.181426 + 0.677092i
\(292\) 2.56864 2.56864i 0.150318 0.150318i
\(293\) 0.652210 2.43408i 0.0381025 0.142201i −0.944254 0.329217i \(-0.893215\pi\)
0.982357 + 0.187017i \(0.0598818\pi\)
\(294\) 1.09729 + 7.30232i 0.0639951 + 0.425880i
\(295\) −9.55094 16.5427i −0.556077 0.963154i
\(296\) −25.6817 + 14.8273i −1.49272 + 0.861822i
\(297\) −0.669085 0.669085i −0.0388243 0.0388243i
\(298\) −0.687454 + 0.396902i −0.0398232 + 0.0229919i
\(299\) 7.49493 + 23.8539i 0.433443 + 1.37951i
\(300\) 9.32781i 0.538541i
\(301\) 0.0161072 0.285667i 0.000928403 0.0164655i
\(302\) −0.0345001 + 0.0597559i −0.00198526 + 0.00343856i
\(303\) 18.7168i 1.07525i
\(304\) 2.42501 + 0.649779i 0.139084 + 0.0372674i
\(305\) 25.1821 6.74752i 1.44192 0.386362i
\(306\) −5.93888 5.93888i −0.339503 0.339503i
\(307\) −14.0560 14.0560i −0.802217 0.802217i 0.181225 0.983442i \(-0.441994\pi\)
−0.983442 + 0.181225i \(0.941994\pi\)
\(308\) 0.694714 2.10961i 0.0395850 0.120206i
\(309\) −5.69542 3.28825i −0.324001 0.187062i
\(310\) 18.1829 + 4.87209i 1.03272 + 0.276716i
\(311\) −5.07374 8.78798i −0.287706 0.498321i 0.685556 0.728020i \(-0.259559\pi\)
−0.973262 + 0.229699i \(0.926226\pi\)
\(312\) −9.26751 + 5.89105i −0.524669 + 0.333515i
\(313\) −23.2110 13.4009i −1.31196 0.757461i −0.329540 0.944141i \(-0.606894\pi\)
−0.982421 + 0.186680i \(0.940227\pi\)
\(314\) 2.02197 + 7.54611i 0.114107 + 0.425852i
\(315\) −9.89813 3.25954i −0.557697 0.183655i
\(316\) 0.728137 0.420390i 0.0409609 0.0236488i
\(317\) 12.3700 3.31452i 0.694767 0.186162i 0.105881 0.994379i \(-0.466234\pi\)
0.588885 + 0.808217i \(0.299567\pi\)
\(318\) −0.408356 1.52400i −0.0228995 0.0854620i
\(319\) −0.840371 3.13631i −0.0470517 0.175599i
\(320\) 29.3030 7.85171i 1.63809 0.438924i
\(321\) 4.49772 2.59676i 0.251038 0.144937i
\(322\) −18.3838 6.05396i −1.02449 0.337374i
\(323\) 3.59627 + 13.4215i 0.200102 + 0.746791i
\(324\) 0.768324 + 0.443592i 0.0426847 + 0.0246440i
\(325\) 11.3632 + 36.1654i 0.630318 + 2.00610i
\(326\) −2.44366 4.23254i −0.135342 0.234419i
\(327\) −11.0247 2.95407i −0.609670 0.163361i
\(328\) −1.19446 0.689624i −0.0659532 0.0380781i
\(329\) 3.81884 11.5965i 0.210539 0.639337i
\(330\) −2.78006 2.78006i −0.153037 0.153037i
\(331\) −0.534490 0.534490i −0.0293782 0.0293782i 0.692265 0.721643i \(-0.256613\pi\)
−0.721643 + 0.692265i \(0.756613\pi\)
\(332\) 10.0112 2.68249i 0.549435 0.147221i
\(333\) −9.40483 2.52002i −0.515381 0.138096i
\(334\) 13.3352i 0.729671i
\(335\) −8.90953 + 15.4318i −0.486779 + 0.843127i
\(336\) 0.214260 3.79997i 0.0116888 0.207305i
\(337\) 12.9685i 0.706440i 0.935540 + 0.353220i \(0.114913\pi\)
−0.935540 + 0.353220i \(0.885087\pi\)
\(338\) 8.83597 10.4877i 0.480613 0.570455i
\(339\) 2.32838 1.34429i 0.126460 0.0730120i
\(340\) 19.6729 + 19.6729i 1.06691 + 1.06691i
\(341\) −3.71256 + 2.14345i −0.201046 + 0.116074i
\(342\) 0.920514 + 1.59438i 0.0497757 + 0.0862140i
\(343\) −18.2565 3.11459i −0.985758 0.168172i
\(344\) −0.0852476 + 0.318148i −0.00459624 + 0.0171534i
\(345\) 19.3143 19.3143i 1.03985 1.03985i
\(346\) −5.00154 + 18.6660i −0.268884 + 1.00349i
\(347\) 7.19316 12.4589i 0.386149 0.668830i −0.605779 0.795633i \(-0.707138\pi\)
0.991928 + 0.126803i \(0.0404718\pi\)
\(348\) 1.52217 + 2.63647i 0.0815967 + 0.141330i
\(349\) −32.9693 + 8.83410i −1.76481 + 0.472879i −0.987683 0.156468i \(-0.949989\pi\)
−0.777125 + 0.629347i \(0.783323\pi\)
\(350\) −27.8721 9.17853i −1.48983 0.490613i
\(351\) −3.51930 0.783899i −0.187847 0.0418414i
\(352\) −2.16397 + 3.74810i −0.115340 + 0.199774i
\(353\) −3.92198 + 3.92198i −0.208746 + 0.208746i −0.803734 0.594988i \(-0.797157\pi\)
0.594988 + 0.803734i \(0.297157\pi\)
\(354\) 5.11595 0.271910
\(355\) −40.7863 −2.16471
\(356\) −3.36363 + 3.36363i −0.178272 + 0.178272i
\(357\) 18.8066 9.48871i 0.995352 0.502196i
\(358\) 18.2807 + 4.89831i 0.966166 + 0.258883i
\(359\) 1.72057 + 6.42126i 0.0908083 + 0.338901i 0.996351 0.0853548i \(-0.0272024\pi\)
−0.905542 + 0.424256i \(0.860536\pi\)
\(360\) 10.3891 + 5.99815i 0.547554 + 0.316130i
\(361\) 15.9542i 0.839696i
\(362\) −3.09473 + 11.5497i −0.162656 + 0.607039i
\(363\) −10.1046 −0.530357
\(364\) −2.07832 8.20404i −0.108934 0.430009i
\(365\) 16.1274 0.844148
\(366\) −1.80715 + 6.74438i −0.0944614 + 0.352535i
\(367\) 7.15046i 0.373251i 0.982431 + 0.186626i \(0.0597551\pi\)
−0.982431 + 0.186626i \(0.940245\pi\)
\(368\) 8.63940 + 4.98796i 0.450360 + 0.260015i
\(369\) −0.117207 0.437421i −0.00610153 0.0227712i
\(370\) −39.0772 10.4707i −2.03153 0.544346i
\(371\) 3.95085 + 0.222767i 0.205118 + 0.0115655i
\(372\) 2.84214 2.84214i 0.147358 0.147358i
\(373\) 15.3396 0.794254 0.397127 0.917764i \(-0.370007\pi\)
0.397127 + 0.917764i \(0.370007\pi\)
\(374\) 7.94723 0.410941
\(375\) 15.3571 15.3571i 0.793037 0.793037i
\(376\) −7.02735 + 12.1717i −0.362408 + 0.627709i
\(377\) −9.11346 8.36770i −0.469367 0.430958i
\(378\) 2.08151 1.85931i 0.107061 0.0956325i
\(379\) −22.8646 + 6.12656i −1.17448 + 0.314700i −0.792734 0.609568i \(-0.791343\pi\)
−0.381743 + 0.924268i \(0.624676\pi\)
\(380\) −3.04925 5.28146i −0.156423 0.270933i
\(381\) 4.56104 7.89995i 0.233669 0.404727i
\(382\) 4.00499 14.9468i 0.204913 0.764746i
\(383\) −0.437956 + 0.437956i −0.0223785 + 0.0223785i −0.718207 0.695829i \(-0.755037\pi\)
0.695829 + 0.718207i \(0.255037\pi\)
\(384\) 0.264731 0.987991i 0.0135095 0.0504182i
\(385\) 8.80361 4.44178i 0.448673 0.226374i
\(386\) 6.18138 + 10.7065i 0.314624 + 0.544945i
\(387\) −0.0936549 + 0.0540717i −0.00476074 + 0.00274862i
\(388\) 7.50152 + 7.50152i 0.380832 + 0.380832i
\(389\) 8.18610 4.72624i 0.415052 0.239630i −0.277906 0.960608i \(-0.589640\pi\)
0.692958 + 0.720978i \(0.256307\pi\)
\(390\) −14.6228 3.25711i −0.740453 0.164930i
\(391\) 55.2128i 2.79223i
\(392\) 19.8426 + 7.79795i 1.00220 + 0.393856i
\(393\) 3.92055 6.79059i 0.197766 0.342540i
\(394\) 11.2323i 0.565876i
\(395\) 3.60557 + 0.966109i 0.181416 + 0.0486102i
\(396\) −0.810875 + 0.217273i −0.0407480 + 0.0109184i
\(397\) 6.32238 + 6.32238i 0.317311 + 0.317311i 0.847734 0.530422i \(-0.177967\pi\)
−0.530422 + 0.847734i \(0.677967\pi\)
\(398\) 15.8549 + 15.8549i 0.794733 + 0.794733i
\(399\) −4.52027 + 0.942096i −0.226297 + 0.0471638i
\(400\) 13.0984 + 7.56234i 0.654918 + 0.378117i
\(401\) 6.40587 + 1.71645i 0.319894 + 0.0857153i 0.415193 0.909733i \(-0.363714\pi\)
−0.0952991 + 0.995449i \(0.530381\pi\)
\(402\) −2.38619 4.13300i −0.119012 0.206135i
\(403\) −7.55711 + 14.4817i −0.376446 + 0.721387i
\(404\) −14.3805 8.30261i −0.715459 0.413070i
\(405\) 1.01943 + 3.80456i 0.0506559 + 0.189050i
\(406\) 9.37575 1.95405i 0.465310 0.0969781i
\(407\) 7.97874 4.60653i 0.395491 0.228337i
\(408\) −23.4227 + 6.27610i −1.15960 + 0.310713i
\(409\) −4.23667 15.8115i −0.209490 0.781826i −0.988034 0.154236i \(-0.950708\pi\)
0.778544 0.627590i \(-0.215958\pi\)
\(410\) −0.486996 1.81749i −0.0240510 0.0897596i
\(411\) −7.35143 + 1.96981i −0.362619 + 0.0971636i
\(412\) −5.05288 + 2.91728i −0.248938 + 0.143724i
\(413\) −4.01338 + 12.1873i −0.197486 + 0.599697i
\(414\) 1.89339 + 7.06623i 0.0930550 + 0.347286i
\(415\) 39.8492 + 23.0069i 1.95612 + 1.12937i
\(416\) 0.702890 + 16.4763i 0.0344620 + 0.807820i
\(417\) −2.22859 3.86004i −0.109135 0.189027i
\(418\) −1.68268 0.450872i −0.0823024 0.0220529i
\(419\) −19.8994 11.4889i −0.972150 0.561271i −0.0722588 0.997386i \(-0.523021\pi\)
−0.899891 + 0.436115i \(0.856354\pi\)
\(420\) −6.89512 + 6.15906i −0.336447 + 0.300532i
\(421\) −3.33707 3.33707i −0.162639 0.162639i 0.621096 0.783735i \(-0.286688\pi\)
−0.783735 + 0.621096i \(0.786688\pi\)
\(422\) −17.5380 17.5380i −0.853736 0.853736i
\(423\) −4.45738 + 1.19435i −0.216725 + 0.0580713i
\(424\) −4.40008 1.17900i −0.213687 0.0572572i
\(425\) 83.7093i 4.06050i
\(426\) 5.46179 9.46010i 0.264625 0.458343i
\(427\) −14.6489 9.59588i −0.708909 0.464377i
\(428\) 4.60761i 0.222717i
\(429\) 2.87921 1.83022i 0.139010 0.0883638i
\(430\) −0.389138 + 0.224669i −0.0187659 + 0.0108345i
\(431\) 19.9189 + 19.9189i 0.959459 + 0.959459i 0.999210 0.0397503i \(-0.0126562\pi\)
−0.0397503 + 0.999210i \(0.512656\pi\)
\(432\) −1.24581 + 0.719268i −0.0599390 + 0.0346058i
\(433\) 9.88975 + 17.1295i 0.475271 + 0.823193i 0.999599 0.0283231i \(-0.00901674\pi\)
−0.524328 + 0.851516i \(0.675683\pi\)
\(434\) −5.69584 11.2891i −0.273409 0.541896i
\(435\) −3.49813 + 13.0552i −0.167722 + 0.625948i
\(436\) −7.16017 + 7.16017i −0.342910 + 0.342910i
\(437\) 3.13240 11.6903i 0.149843 0.559221i
\(438\) −2.15966 + 3.74064i −0.103193 + 0.178735i
\(439\) 10.9538 + 18.9726i 0.522797 + 0.905511i 0.999648 + 0.0265271i \(0.00844483\pi\)
−0.476851 + 0.878984i \(0.658222\pi\)
\(440\) −10.9645 + 2.93792i −0.522710 + 0.140060i
\(441\) 2.79636 + 6.41720i 0.133160 + 0.305581i
\(442\) 25.5562 16.2452i 1.21558 0.772707i
\(443\) 9.87688 17.1073i 0.469265 0.812791i −0.530118 0.847924i \(-0.677852\pi\)
0.999383 + 0.0351334i \(0.0111856\pi\)
\(444\) −6.10810 + 6.10810i −0.289877 + 0.289877i
\(445\) −21.1188 −1.00113
\(446\) −6.39114 −0.302629
\(447\) −0.532092 + 0.532092i −0.0251671 + 0.0251671i
\(448\) −17.0461 11.1662i −0.805350 0.527552i
\(449\) −31.7673 8.51202i −1.49919 0.401707i −0.586362 0.810049i \(-0.699440\pi\)
−0.912829 + 0.408342i \(0.866107\pi\)
\(450\) 2.87061 + 10.7132i 0.135322 + 0.505027i
\(451\) 0.371093 + 0.214251i 0.0174741 + 0.0100887i
\(452\) 2.38527i 0.112194i
\(453\) −0.0169291 + 0.0631804i −0.000795400 + 0.00296847i
\(454\) 22.0175 1.03333
\(455\) 19.2305 32.2794i 0.901538 1.51328i
\(456\) 5.31538 0.248916
\(457\) 4.06045 15.1538i 0.189940 0.708866i −0.803579 0.595198i \(-0.797073\pi\)
0.993519 0.113668i \(-0.0362599\pi\)
\(458\) 23.1400i 1.08126i
\(459\) −6.89506 3.98087i −0.321834 0.185811i
\(460\) −6.27196 23.4073i −0.292432 1.09137i
\(461\) 1.60974 + 0.431329i 0.0749731 + 0.0200890i 0.296111 0.955154i \(-0.404310\pi\)
−0.221138 + 0.975243i \(0.570977\pi\)
\(462\) −0.148672 + 2.63674i −0.00691683 + 0.122672i
\(463\) −18.8646 + 18.8646i −0.876713 + 0.876713i −0.993193 0.116480i \(-0.962839\pi\)
0.116480 + 0.993193i \(0.462839\pi\)
\(464\) −4.93627 −0.229161
\(465\) 17.8446 0.827525
\(466\) 8.54705 8.54705i 0.395934 0.395934i
\(467\) 11.4518 19.8351i 0.529926 0.917859i −0.469465 0.882951i \(-0.655553\pi\)
0.999391 0.0349075i \(-0.0111136\pi\)
\(468\) −2.16342 + 2.35623i −0.100004 + 0.108917i
\(469\) 11.7176 2.44214i 0.541069 0.112767i
\(470\) −18.5205 + 4.96255i −0.854286 + 0.228905i
\(471\) 3.70286 + 6.41355i 0.170619 + 0.295521i
\(472\) 7.38535 12.7918i 0.339938 0.588790i
\(473\) 0.0264845 0.0988416i 0.00121776 0.00454474i
\(474\) −0.706912 + 0.706912i −0.0324695 + 0.0324695i
\(475\) 4.74909 17.7239i 0.217903 0.813226i
\(476\) 1.05206 18.6587i 0.0482212 0.855220i
\(477\) −0.747827 1.29527i −0.0342406 0.0593065i
\(478\) −6.32315 + 3.65067i −0.289214 + 0.166978i
\(479\) −0.542389 0.542389i −0.0247824 0.0247824i 0.694607 0.719389i \(-0.255578\pi\)
−0.719389 + 0.694607i \(0.755578\pi\)
\(480\) 15.6018 9.00773i 0.712124 0.411145i
\(481\) 16.2411 31.1230i 0.740532 1.41909i
\(482\) 8.75782i 0.398908i
\(483\) −18.3186 1.03289i −0.833524 0.0469979i
\(484\) −4.48234 + 7.76365i −0.203743 + 0.352893i
\(485\) 47.0990i 2.13866i
\(486\) −1.01896 0.273028i −0.0462208 0.0123848i
\(487\) 7.13339 1.91138i 0.323245 0.0866131i −0.0935479 0.995615i \(-0.529821\pi\)
0.416792 + 0.909002i \(0.363154\pi\)
\(488\) 14.2547 + 14.2547i 0.645280 + 0.645280i
\(489\) −3.27600 3.27600i −0.148146 0.148146i
\(490\) 11.6189 + 26.6636i 0.524889 + 1.20454i
\(491\) 6.17910 + 3.56750i 0.278859 + 0.160999i 0.632907 0.774228i \(-0.281862\pi\)
−0.354048 + 0.935227i \(0.615195\pi\)
\(492\) −0.388073 0.103984i −0.0174957 0.00468796i
\(493\) −13.6602 23.6601i −0.615223 1.06560i
\(494\) −6.33269 + 1.98974i −0.284921 + 0.0895226i
\(495\) −3.22766 1.86349i −0.145073 0.0837577i
\(496\) 1.68680 + 6.29522i 0.0757395 + 0.282664i
\(497\) 18.2513 + 20.4324i 0.818682 + 0.916520i
\(498\) −10.6726 + 6.16183i −0.478250 + 0.276118i
\(499\) 20.6974 5.54585i 0.926542 0.248266i 0.236163 0.971714i \(-0.424110\pi\)
0.690380 + 0.723447i \(0.257444\pi\)
\(500\) −4.98694 18.6115i −0.223023 0.832332i
\(501\) −3.27179 12.2105i −0.146173 0.545523i
\(502\) −15.9220 + 4.26629i −0.710634 + 0.190414i
\(503\) 20.5890 11.8871i 0.918020 0.530019i 0.0350174 0.999387i \(-0.488851\pi\)
0.883003 + 0.469367i \(0.155518\pi\)
\(504\) −1.64412 7.88864i −0.0732348 0.351388i
\(505\) −19.0804 71.2091i −0.849068 3.16876i
\(506\) −5.99475 3.46107i −0.266499 0.153863i
\(507\) 5.51756 11.7710i 0.245043 0.522769i
\(508\) −4.04648 7.00871i −0.179534 0.310961i
\(509\) 29.9347 + 8.02098i 1.32683 + 0.355524i 0.851533 0.524301i \(-0.175673\pi\)
0.475299 + 0.879824i \(0.342340\pi\)
\(510\) −28.6491 16.5406i −1.26860 0.732429i
\(511\) −7.21678 8.07924i −0.319252 0.357405i
\(512\) 10.8487 + 10.8487i 0.479449 + 0.479449i
\(513\) 1.23405 + 1.23405i 0.0544847 + 0.0544847i
\(514\) −0.574561 + 0.153953i −0.0253428 + 0.00679059i
\(515\) −25.0207 6.70428i −1.10254 0.295426i
\(516\) 0.0959431i 0.00422366i
\(517\) 2.18324 3.78149i 0.0960189 0.166310i
\(518\) 12.2410 + 24.2617i 0.537840 + 1.06600i
\(519\) 18.3187i 0.804104i
\(520\) −29.2533 + 31.8605i −1.28284 + 1.39717i
\(521\) 23.5185 13.5784i 1.03036 0.594881i 0.113275 0.993564i \(-0.463866\pi\)
0.917089 + 0.398683i \(0.130533\pi\)
\(522\) −2.55962 2.55962i −0.112031 0.112031i
\(523\) −36.5550 + 21.1050i −1.59844 + 0.922859i −0.606651 + 0.794968i \(0.707487\pi\)
−0.991788 + 0.127891i \(0.959179\pi\)
\(524\) −3.47825 6.02451i −0.151948 0.263182i
\(525\) −27.7732 1.56598i −1.21212 0.0683449i
\(526\) −0.493811 + 1.84293i −0.0215312 + 0.0803554i
\(527\) −25.5058 + 25.5058i −1.11105 + 1.11105i
\(528\) 0.352301 1.31480i 0.0153319 0.0572195i
\(529\) 12.5455 21.7295i 0.545458 0.944761i
\(530\) −3.10723 5.38188i −0.134970 0.233774i
\(531\) 4.68445 1.25519i 0.203288 0.0544708i
\(532\) −1.28132 + 3.89094i −0.0555523 + 0.168694i
\(533\) 1.63130 0.0695920i 0.0706593 0.00301436i
\(534\) 2.82807 4.89837i 0.122383 0.211973i
\(535\) 14.4647 14.4647i 0.625361 0.625361i
\(536\) −13.7787 −0.595151
\(537\) 17.9406 0.774196
\(538\) −3.43567 + 3.43567i −0.148122 + 0.148122i
\(539\) −6.16465 2.42265i −0.265530 0.104351i
\(540\) 3.37535 + 0.904422i 0.145252 + 0.0389201i
\(541\) −1.79457 6.69743i −0.0771547 0.287945i 0.916559 0.399900i \(-0.130955\pi\)
−0.993713 + 0.111955i \(0.964289\pi\)
\(542\) −3.70642 2.13990i −0.159204 0.0919166i
\(543\) 11.3348i 0.486425i
\(544\) −9.42515 + 35.1751i −0.404100 + 1.50812i
\(545\) −44.9558 −1.92570
\(546\) 4.91178 + 8.78298i 0.210205 + 0.375877i
\(547\) 32.4507 1.38749 0.693747 0.720219i \(-0.255959\pi\)
0.693747 + 0.720219i \(0.255959\pi\)
\(548\) −1.74759 + 6.52208i −0.0746531 + 0.278609i
\(549\) 6.61892i 0.282488i
\(550\) −9.08876 5.24740i −0.387546 0.223750i
\(551\) 1.54997 + 5.78456i 0.0660309 + 0.246431i
\(552\) 20.4015 + 5.46657i 0.868345 + 0.232672i
\(553\) −1.12945 2.23858i −0.0480292 0.0951939i
\(554\) 9.10707 9.10707i 0.386922 0.386922i
\(555\) −38.3503 −1.62788
\(556\) −3.95434 −0.167702
\(557\) −4.06289 + 4.06289i −0.172150 + 0.172150i −0.787923 0.615773i \(-0.788844\pi\)
0.615773 + 0.787923i \(0.288844\pi\)
\(558\) −2.38961 + 4.13893i −0.101160 + 0.175215i
\(559\) −0.116879 0.371987i −0.00494344 0.0157334i
\(560\) −3.05864 14.6757i −0.129251 0.620160i
\(561\) 7.27693 1.94985i 0.307232 0.0823226i
\(562\) 0.565397 + 0.979297i 0.0238498 + 0.0413091i
\(563\) −21.8237 + 37.7998i −0.919760 + 1.59307i −0.119981 + 0.992776i \(0.538283\pi\)
−0.799779 + 0.600294i \(0.795050\pi\)
\(564\) −1.05961 + 3.95451i −0.0446176 + 0.166515i
\(565\) 7.48808 7.48808i 0.315026 0.315026i
\(566\) −5.64548 + 21.0692i −0.237297 + 0.885605i
\(567\) 1.44977 2.21318i 0.0608845 0.0929449i
\(568\) −15.7692 27.3130i −0.661661 1.14603i
\(569\) −2.73813 + 1.58086i −0.114788 + 0.0662730i −0.556295 0.830985i \(-0.687778\pi\)
0.441507 + 0.897258i \(0.354444\pi\)
\(570\) 5.12751 + 5.12751i 0.214768 + 0.214768i
\(571\) 31.3887 18.1222i 1.31357 0.758393i 0.330888 0.943670i \(-0.392652\pi\)
0.982686 + 0.185277i \(0.0593184\pi\)
\(572\) −0.129007 3.02404i −0.00539406 0.126441i
\(573\) 14.6688i 0.612796i
\(574\) −0.692573 + 1.05727i −0.0289074 + 0.0441295i
\(575\) 36.4559 63.1435i 1.52032 2.63327i
\(576\) 7.70205i 0.320919i
\(577\) 5.03959 + 1.35035i 0.209801 + 0.0562160i 0.362189 0.932105i \(-0.382030\pi\)
−0.152388 + 0.988321i \(0.548696\pi\)
\(578\) 47.2686 12.6656i 1.96611 0.526819i
\(579\) 8.28684 + 8.28684i 0.344389 + 0.344389i
\(580\) 8.47888 + 8.47888i 0.352066 + 0.352066i
\(581\) −6.30630 30.2582i −0.261629 1.25532i
\(582\) −10.9243 6.30714i −0.452826 0.261439i
\(583\) 1.36701 + 0.366289i 0.0566157 + 0.0151701i
\(584\) 6.23534 + 10.7999i 0.258020 + 0.446904i
\(585\) −14.1885 + 0.605291i −0.586624 + 0.0250257i
\(586\) 2.30215 + 1.32915i 0.0951010 + 0.0549066i
\(587\) −9.40982 35.1179i −0.388385 1.44947i −0.832762 0.553632i \(-0.813242\pi\)
0.444377 0.895840i \(-0.353425\pi\)
\(588\) 6.17093 + 0.698110i 0.254485 + 0.0287896i
\(589\) 6.84740 3.95335i 0.282142 0.162895i
\(590\) 19.4640 5.21535i 0.801319 0.214713i
\(591\) −2.75584 10.2849i −0.113360 0.423066i
\(592\) −3.62513 13.5292i −0.148992 0.556046i
\(593\) −40.8740 + 10.9522i −1.67849 + 0.449751i −0.967381 0.253327i \(-0.918475\pi\)
−0.711113 + 0.703078i \(0.751809\pi\)
\(594\) 0.864448 0.499089i 0.0354687 0.0204779i
\(595\) 61.8779 55.2724i 2.53675 2.26595i
\(596\) 0.172787 + 0.644851i 0.00707764 + 0.0264141i
\(597\) 18.4076 + 10.6276i 0.753372 + 0.434960i
\(598\) −26.3524 + 1.12421i −1.07763 + 0.0459723i
\(599\) 16.9264 + 29.3174i 0.691594 + 1.19788i 0.971315 + 0.237795i \(0.0764246\pi\)
−0.279721 + 0.960081i \(0.590242\pi\)
\(600\) 30.9311 + 8.28797i 1.26276 + 0.338355i
\(601\) 21.1918 + 12.2351i 0.864431 + 0.499080i 0.865494 0.500920i \(-0.167005\pi\)
−0.00106241 + 0.999999i \(0.500338\pi\)
\(602\) 0.286684 + 0.0944076i 0.0116844 + 0.00384777i
\(603\) −3.19896 3.19896i −0.130272 0.130272i
\(604\) 0.0410334 + 0.0410334i 0.00166962 + 0.00166962i
\(605\) −38.4438 + 10.3010i −1.56296 + 0.418795i
\(606\) 19.0716 + 5.11021i 0.774729 + 0.207588i
\(607\) 22.9026i 0.929589i 0.885419 + 0.464795i \(0.153872\pi\)
−0.885419 + 0.464795i \(0.846128\pi\)
\(608\) 3.99119 6.91295i 0.161864 0.280357i
\(609\) 8.10553 4.08957i 0.328453 0.165718i
\(610\) 27.5017i 1.11351i
\(611\) −0.709151 16.6231i −0.0286892 0.672499i
\(612\) −6.11719 + 3.53176i −0.247273 + 0.142763i
\(613\) −24.6071 24.6071i −0.993870 0.993870i 0.00611091 0.999981i \(-0.498055\pi\)
−0.999981 + 0.00611091i \(0.998055\pi\)
\(614\) 18.1601 10.4847i 0.732882 0.423130i
\(615\) −0.891841 1.54471i −0.0359625 0.0622888i
\(616\) 6.37822 + 4.17812i 0.256986 + 0.168341i
\(617\) −8.38788 + 31.3040i −0.337684 + 1.26025i 0.563247 + 0.826289i \(0.309552\pi\)
−0.900930 + 0.433963i \(0.857115\pi\)
\(618\) 4.90559 4.90559i 0.197332 0.197332i
\(619\) −10.1821 + 38.0001i −0.409253 + 1.52735i 0.386820 + 0.922155i \(0.373573\pi\)
−0.796074 + 0.605200i \(0.793093\pi\)
\(620\) 7.91574 13.7105i 0.317904 0.550625i
\(621\) 3.46739 + 6.00569i 0.139141 + 0.241000i
\(622\) 10.3398 2.77055i 0.414590 0.111089i
\(623\) 9.45037 + 10.5798i 0.378621 + 0.423869i
\(624\) −1.55473 4.94821i −0.0622392 0.198087i
\(625\) 16.4867 28.5558i 0.659467 1.14223i
\(626\) 19.9921 19.9921i 0.799046 0.799046i
\(627\) −1.65137 −0.0659495
\(628\) 6.57024 0.262181
\(629\) 54.8150 54.8150i 2.18562 2.18562i
\(630\) 6.02380 9.19581i 0.239994 0.366370i
\(631\) 15.0028 + 4.01998i 0.597251 + 0.160033i 0.544765 0.838589i \(-0.316619\pi\)
0.0524858 + 0.998622i \(0.483286\pi\)
\(632\) 0.747052 + 2.78804i 0.0297161 + 0.110902i
\(633\) −20.3617 11.7558i −0.809305 0.467252i
\(634\) 13.5094i 0.536527i
\(635\) 9.29932 34.7055i 0.369032 1.37725i
\(636\) −1.32692 −0.0526158
\(637\) −24.7761 + 4.81080i −0.981666 + 0.190611i
\(638\) 3.42520 0.135605
\(639\) 2.68009 10.0022i 0.106023 0.395682i
\(640\) 4.02875i 0.159250i
\(641\) 11.6981 + 6.75390i 0.462047 + 0.266763i 0.712905 0.701261i \(-0.247379\pi\)
−0.250857 + 0.968024i \(0.580713\pi\)
\(642\) 1.41798 + 5.29197i 0.0559632 + 0.208857i
\(643\) −25.1020 6.72606i −0.989926 0.265250i −0.272706 0.962097i \(-0.587919\pi\)
−0.717219 + 0.696848i \(0.754585\pi\)
\(644\) −8.91957 + 13.6164i −0.351480 + 0.536563i
\(645\) −0.301194 + 0.301194i −0.0118595 + 0.0118595i
\(646\) −14.6578 −0.576702
\(647\) 23.1112 0.908596 0.454298 0.890850i \(-0.349890\pi\)
0.454298 + 0.890850i \(0.349890\pi\)
\(648\) −2.15363 + 2.15363i −0.0846026 + 0.0846026i
\(649\) −2.29446 + 3.97413i −0.0900656 + 0.155998i
\(650\) −39.9535 + 1.70444i −1.56710 + 0.0668535i
\(651\) −7.98521 8.93950i −0.312965 0.350367i
\(652\) −3.97023 + 1.06382i −0.155486 + 0.0416624i
\(653\) 16.7511 + 29.0138i 0.655522 + 1.13540i 0.981763 + 0.190110i \(0.0608846\pi\)
−0.326241 + 0.945287i \(0.605782\pi\)
\(654\) 6.02014 10.4272i 0.235406 0.407735i
\(655\) 7.99345 29.8320i 0.312330 1.16563i
\(656\) 0.460640 0.460640i 0.0179850 0.0179850i
\(657\) −1.05974 + 3.95501i −0.0413445 + 0.154300i
\(658\) 10.7737 + 7.05741i 0.420002 + 0.275126i
\(659\) 0.940246 + 1.62855i 0.0366268 + 0.0634395i 0.883758 0.467945i \(-0.155005\pi\)
−0.847131 + 0.531384i \(0.821672\pi\)
\(660\) −2.86353 + 1.65326i −0.111463 + 0.0643531i
\(661\) 34.5943 + 34.5943i 1.34556 + 1.34556i 0.890416 + 0.455148i \(0.150414\pi\)
0.455148 + 0.890416i \(0.349586\pi\)
\(662\) 0.690553 0.398691i 0.0268391 0.0154956i
\(663\) 19.4149 21.1452i 0.754013 0.821213i
\(664\) 35.5807i 1.38080i
\(665\) −16.2373 + 8.19236i −0.629654 + 0.317686i
\(666\) 5.13557 8.89507i 0.198999 0.344677i
\(667\) 23.7964i 0.921399i
\(668\) −10.8329 2.90268i −0.419139 0.112308i
\(669\) −5.85209 + 1.56806i −0.226255 + 0.0606248i
\(670\) −13.2917 13.2917i −0.513504 0.513504i
\(671\) −4.42862 4.42862i −0.170965 0.170965i
\(672\) −11.4941 3.78512i −0.443396 0.146014i
\(673\) −16.4185 9.47923i −0.632887 0.365397i 0.148982 0.988840i \(-0.452400\pi\)
−0.781869 + 0.623442i \(0.785734\pi\)
\(674\) −13.2143 3.54077i −0.508998 0.136386i
\(675\) 5.25697 + 9.10535i 0.202341 + 0.350465i
\(676\) −6.59640 9.46080i −0.253708 0.363877i
\(677\) −7.78358 4.49385i −0.299147 0.172713i 0.342913 0.939367i \(-0.388587\pi\)
−0.642060 + 0.766655i \(0.721920\pi\)
\(678\) 0.734061 + 2.73955i 0.0281914 + 0.105212i
\(679\) 23.5949 21.0761i 0.905488 0.808827i
\(680\) −82.7153 + 47.7557i −3.17199 + 1.83135i
\(681\) 20.1604 5.40197i 0.772549 0.207004i
\(682\) −1.17044 4.36816i −0.0448186 0.167265i
\(683\) −7.52839 28.0963i −0.288066 1.07508i −0.946570 0.322499i \(-0.895477\pi\)
0.658504 0.752577i \(-0.271190\pi\)
\(684\) 1.49557 0.400736i 0.0571845 0.0153225i
\(685\) −25.9609 + 14.9885i −0.991916 + 0.572683i
\(686\) 8.15817 17.7522i 0.311480 0.677782i
\(687\) 5.67737 + 21.1882i 0.216605 + 0.808382i
\(688\) −0.134726 0.0777840i −0.00513638 0.00296549i
\(689\) 5.14468 1.61647i 0.195997 0.0615825i
\(690\) 14.4070 + 24.9537i 0.548467 + 0.949973i
\(691\) −19.4172 5.20283i −0.738666 0.197925i −0.130181 0.991490i \(-0.541556\pi\)
−0.608485 + 0.793565i \(0.708222\pi\)
\(692\) 14.0747 + 8.12605i 0.535041 + 0.308906i
\(693\) 0.510791 + 2.45082i 0.0194033 + 0.0930991i
\(694\) 10.7311 + 10.7311i 0.407349 + 0.407349i
\(695\) −12.4139 12.4139i −0.470885 0.470885i
\(696\) −10.0950 + 2.70496i −0.382652 + 0.102531i
\(697\) 3.48263 + 0.933168i 0.131914 + 0.0353463i
\(698\) 36.0063i 1.36286i
\(699\) 5.72914 9.92317i 0.216696 0.375329i
\(700\) −13.5231 + 20.6441i −0.511127 + 0.780275i
\(701\) 26.4403i 0.998636i 0.866419 + 0.499318i \(0.166416\pi\)
−0.866419 + 0.499318i \(0.833584\pi\)
\(702\) 1.75963 3.37199i 0.0664129 0.127268i
\(703\) −14.7159 + 8.49622i −0.555020 + 0.320441i
\(704\) −5.15333 5.15333i −0.194223 0.194223i
\(705\) −15.7408 + 9.08797i −0.592833 + 0.342273i
\(706\) −2.92551 5.06714i −0.110103 0.190704i
\(707\) −27.1349 + 41.4236i −1.02051 + 1.55790i
\(708\) 1.11359 4.15597i 0.0418512 0.156191i
\(709\) 0.719284 0.719284i 0.0270133 0.0270133i −0.693471 0.720484i \(-0.743920\pi\)
0.720484 + 0.693471i \(0.243920\pi\)
\(710\) 11.1358 41.5595i 0.417920 1.55970i
\(711\) −0.473848 + 0.820728i −0.0177707 + 0.0307797i
\(712\) −8.16517 14.1425i −0.306003 0.530012i
\(713\) 30.3475 8.13158i 1.13652 0.304530i
\(714\) 4.53384 + 21.7538i 0.169675 + 0.814116i
\(715\) 9.08836 9.89834i 0.339885 0.370177i
\(716\) 7.95833 13.7842i 0.297417 0.515141i
\(717\) −4.89413 + 4.89413i −0.182775 + 0.182775i
\(718\) −7.01275 −0.261713
\(719\) 32.2667 1.20334 0.601672 0.798743i \(-0.294502\pi\)
0.601672 + 0.798743i \(0.294502\pi\)
\(720\) −4.00652 + 4.00652i −0.149314 + 0.149314i
\(721\) 7.83781 + 15.5345i 0.291895 + 0.578536i
\(722\) −16.2567 4.35596i −0.605010 0.162112i
\(723\) −2.14872 8.01914i −0.0799119 0.298235i
\(724\) 8.70883 + 5.02805i 0.323661 + 0.186866i
\(725\) 36.0781i 1.33991i
\(726\) 2.75886 10.2962i 0.102391 0.382128i
\(727\) 14.6393 0.542941 0.271471 0.962447i \(-0.412490\pi\)
0.271471 + 0.962447i \(0.412490\pi\)
\(728\) 29.0513 + 0.397744i 1.07671 + 0.0147414i
\(729\) −1.00000 −0.0370370
\(730\) −4.40325 + 16.4331i −0.162971 + 0.608218i
\(731\) 0.861008i 0.0318455i
\(732\) 5.08547 + 2.93610i 0.187964 + 0.108521i
\(733\) 13.0234 + 48.6040i 0.481031 + 1.79523i 0.597305 + 0.802014i \(0.296238\pi\)
−0.116275 + 0.993217i \(0.537095\pi\)
\(734\) −7.28601 1.95228i −0.268931 0.0720599i
\(735\) 17.1808 + 21.5639i 0.633723 + 0.795398i
\(736\) 22.4286 22.4286i 0.826728 0.826728i
\(737\) 4.28075 0.157683
\(738\) 0.477714 0.0175849
\(739\) −14.7764 + 14.7764i −0.543558 + 0.543558i −0.924570 0.381012i \(-0.875576\pi\)
0.381012 + 0.924570i \(0.375576\pi\)
\(740\) −17.0119 + 29.4654i −0.625369 + 1.08317i
\(741\) −5.31038 + 3.37563i −0.195082 + 0.124007i
\(742\) −1.30568 + 3.96492i −0.0479332 + 0.145557i
\(743\) 25.4705 6.82479i 0.934421 0.250377i 0.240682 0.970604i \(-0.422629\pi\)
0.693739 + 0.720227i \(0.255962\pi\)
\(744\) 6.89926 + 11.9499i 0.252939 + 0.438103i
\(745\) −1.48195 + 2.56681i −0.0542943 + 0.0940406i
\(746\) −4.18815 + 15.6304i −0.153339 + 0.572269i
\(747\) −8.26062 + 8.26062i −0.302240 + 0.302240i
\(748\) 1.72987 6.45597i 0.0632504 0.236054i
\(749\) −13.7190 0.773538i −0.501280 0.0282645i
\(750\) 11.4553 + 19.8411i 0.418287 + 0.724495i
\(751\) 13.2528 7.65152i 0.483602 0.279208i −0.238314 0.971188i \(-0.576595\pi\)
0.721916 + 0.691980i \(0.243261\pi\)
\(752\) −4.69398 4.69398i −0.171172 0.171172i
\(753\) −13.5324 + 7.81291i −0.493146 + 0.284718i
\(754\) 11.0145 7.00159i 0.401126 0.254983i
\(755\) 0.257632i 0.00937618i
\(756\) −1.05734 2.09564i −0.0384550 0.0762177i
\(757\) 9.00227 15.5924i 0.327193 0.566715i −0.654761 0.755836i \(-0.727231\pi\)
0.981954 + 0.189121i \(0.0605640\pi\)
\(758\) 24.9708i 0.906979i
\(759\) −6.33829 1.69834i −0.230065 0.0616459i
\(760\) 20.2227 5.41866i 0.733555 0.196556i
\(761\) −29.9052 29.9052i −1.08406 1.08406i −0.996126 0.0879379i \(-0.971972\pi\)
−0.0879379 0.996126i \(-0.528028\pi\)
\(762\) 6.80441 + 6.80441i 0.246498 + 0.246498i
\(763\) 20.1171 + 22.5212i 0.728287 + 0.815322i
\(764\) −11.2704 6.50694i −0.407747 0.235413i
\(765\) −30.2909 8.11643i −1.09517 0.293450i
\(766\) −0.326683 0.565832i −0.0118035 0.0204443i
\(767\) 0.745278 + 17.4699i 0.0269104 + 0.630803i
\(768\) 14.2748 + 8.24155i 0.515097 + 0.297391i
\(769\) −2.44052 9.10816i −0.0880075 0.328449i 0.907859 0.419275i \(-0.137716\pi\)
−0.995867 + 0.0908266i \(0.971049\pi\)
\(770\) 2.12234 + 10.1832i 0.0764840 + 0.366978i
\(771\) −0.488328 + 0.281936i −0.0175867 + 0.0101537i
\(772\) 10.0430 2.69100i 0.361454 0.0968513i
\(773\) 6.30495 + 23.5304i 0.226773 + 0.846329i 0.981686 + 0.190504i \(0.0610124\pi\)
−0.754913 + 0.655825i \(0.772321\pi\)