Properties

Label 76.2.k.a.59.7
Level $76$
Weight $2$
Character 76.59
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.7
Character \(\chi\) \(=\) 76.59
Dual form 76.2.k.a.67.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.09990 + 0.888945i) q^{2} +(-0.220673 - 0.185167i) q^{3} +(0.419555 + 1.95550i) q^{4} +(-2.14071 + 0.779153i) q^{5} +(-0.0781151 - 0.399831i) q^{6} +(3.55057 - 2.04992i) q^{7} +(-1.27686 + 2.52381i) q^{8} +(-0.506535 - 2.87270i) q^{9} +O(q^{10})\) \(q+(1.09990 + 0.888945i) q^{2} +(-0.220673 - 0.185167i) q^{3} +(0.419555 + 1.95550i) q^{4} +(-2.14071 + 0.779153i) q^{5} +(-0.0781151 - 0.399831i) q^{6} +(3.55057 - 2.04992i) q^{7} +(-1.27686 + 2.52381i) q^{8} +(-0.506535 - 2.87270i) q^{9} +(-3.04718 - 1.04598i) q^{10} +(-3.61965 - 2.08981i) q^{11} +(0.269509 - 0.509213i) q^{12} +(-0.374492 - 0.446302i) q^{13} +(5.72754 + 0.901553i) q^{14} +(0.616669 + 0.224449i) q^{15} +(-3.64795 + 1.64088i) q^{16} +(-0.573106 + 3.25025i) q^{17} +(1.99653 - 3.60996i) q^{18} +(0.458280 + 4.33474i) q^{19} +(-2.42178 - 3.85925i) q^{20} +(-1.16309 - 0.205085i) q^{21} +(-2.12353 - 5.51625i) q^{22} +(0.862701 - 2.37025i) q^{23} +(0.749095 - 0.320505i) q^{24} +(0.145317 - 0.121936i) q^{25} +(-0.0151654 - 0.823789i) q^{26} +(-0.852252 + 1.47614i) q^{27} +(5.49829 + 6.08308i) q^{28} +(8.34798 - 1.47197i) q^{29} +(0.478751 + 0.795056i) q^{30} +(0.386863 + 0.670066i) q^{31} +(-5.47102 - 1.43802i) q^{32} +(0.411797 + 1.13140i) q^{33} +(-3.51965 + 3.06548i) q^{34} +(-6.00353 + 7.15472i) q^{35} +(5.40504 - 2.19578i) q^{36} -1.23521i q^{37} +(-3.34928 + 5.17516i) q^{38} +0.167830i q^{39} +(0.766949 - 6.39761i) q^{40} +(-4.51238 + 5.37764i) q^{41} +(-1.09698 - 1.25950i) q^{42} +(1.55737 + 4.27884i) q^{43} +(2.56797 - 7.95501i) q^{44} +(3.32261 + 5.75494i) q^{45} +(3.05591 - 1.84014i) q^{46} +(-4.84679 + 0.854620i) q^{47} +(1.10884 + 0.313381i) q^{48} +(4.90438 - 8.49464i) q^{49} +(0.268229 - 0.00493791i) q^{50} +(0.728306 - 0.611122i) q^{51} +(0.715623 - 0.919566i) q^{52} +(-0.232598 + 0.639058i) q^{53} +(-2.24960 + 0.866004i) q^{54} +(9.37689 + 1.65340i) q^{55} +(0.640033 + 11.5784i) q^{56} +(0.701520 - 1.04142i) q^{57} +(10.4904 + 5.80187i) q^{58} +(0.368113 - 2.08767i) q^{59} +(-0.180183 + 1.30006i) q^{60} +(-2.91217 - 1.05994i) q^{61} +(-0.170142 + 1.08090i) q^{62} +(-7.68731 - 9.16138i) q^{63} +(-4.73925 - 6.44512i) q^{64} +(1.14941 + 0.663614i) q^{65} +(-0.552820 + 1.61049i) q^{66} +(-2.44691 - 13.8771i) q^{67} +(-6.59630 + 0.242949i) q^{68} +(-0.629267 + 0.363307i) q^{69} +(-12.9634 + 2.53267i) q^{70} +(12.4034 - 4.51448i) q^{71} +(7.89693 + 2.38964i) q^{72} +(-8.59023 - 7.20806i) q^{73} +(1.09803 - 1.35860i) q^{74} -0.0546461 q^{75} +(-8.28430 + 2.71483i) q^{76} -17.1358 q^{77} +(-0.149192 + 0.184596i) q^{78} +(7.91111 + 6.63821i) q^{79} +(6.53068 - 6.35495i) q^{80} +(-7.76190 + 2.82510i) q^{81} +(-9.74358 + 1.90361i) q^{82} +(-1.29416 + 0.747183i) q^{83} +(-0.0869389 - 2.36047i) q^{84} +(-1.30559 - 7.40436i) q^{85} +(-2.09070 + 6.09071i) q^{86} +(-2.11474 - 1.22094i) q^{87} +(9.89607 - 6.46693i) q^{88} +(9.52313 + 11.3492i) q^{89} +(-1.46128 + 9.28347i) q^{90} +(-2.24455 - 0.816948i) q^{91} +(4.99697 + 0.692559i) q^{92} +(0.0387037 - 0.219500i) q^{93} +(-6.09069 - 3.36853i) q^{94} +(-4.35847 - 8.92233i) q^{95} +(0.941034 + 1.33038i) q^{96} +(10.1050 + 1.78178i) q^{97} +(12.9456 - 4.98352i) q^{98} +(-4.16991 + 11.4567i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.09990 + 0.888945i 0.777746 + 0.628579i
\(3\) −0.220673 0.185167i −0.127406 0.106906i 0.576858 0.816844i \(-0.304278\pi\)
−0.704264 + 0.709938i \(0.748723\pi\)
\(4\) 0.419555 + 1.95550i 0.209778 + 0.977749i
\(5\) −2.14071 + 0.779153i −0.957352 + 0.348448i −0.772995 0.634412i \(-0.781242\pi\)
−0.184357 + 0.982859i \(0.559020\pi\)
\(6\) −0.0781151 0.399831i −0.0318904 0.163230i
\(7\) 3.55057 2.04992i 1.34199 0.774799i 0.354891 0.934908i \(-0.384518\pi\)
0.987099 + 0.160109i \(0.0511845\pi\)
\(8\) −1.27686 + 2.52381i −0.451439 + 0.892302i
\(9\) −0.506535 2.87270i −0.168845 0.957567i
\(10\) −3.04718 1.04598i −0.963604 0.330768i
\(11\) −3.61965 2.08981i −1.09137 0.630101i −0.157426 0.987531i \(-0.550320\pi\)
−0.933940 + 0.357430i \(0.883653\pi\)
\(12\) 0.269509 0.509213i 0.0778004 0.146997i
\(13\) −0.374492 0.446302i −0.103865 0.123782i 0.711608 0.702577i \(-0.247967\pi\)
−0.815473 + 0.578795i \(0.803523\pi\)
\(14\) 5.72754 + 0.901553i 1.53075 + 0.240950i
\(15\) 0.616669 + 0.224449i 0.159223 + 0.0579525i
\(16\) −3.64795 + 1.64088i −0.911987 + 0.410220i
\(17\) −0.573106 + 3.25025i −0.138999 + 0.788301i 0.832993 + 0.553284i \(0.186626\pi\)
−0.971991 + 0.235017i \(0.924486\pi\)
\(18\) 1.99653 3.60996i 0.470588 0.850876i
\(19\) 0.458280 + 4.33474i 0.105137 + 0.994458i
\(20\) −2.42178 3.85925i −0.541526 0.862954i
\(21\) −1.16309 0.205085i −0.253808 0.0447532i
\(22\) −2.12353 5.51625i −0.452738 1.17607i
\(23\) 0.862701 2.37025i 0.179886 0.494232i −0.816675 0.577098i \(-0.804185\pi\)
0.996561 + 0.0828661i \(0.0264074\pi\)
\(24\) 0.749095 0.320505i 0.152908 0.0654228i
\(25\) 0.145317 0.121936i 0.0290635 0.0243872i
\(26\) −0.0151654 0.823789i −0.00297418 0.161558i
\(27\) −0.852252 + 1.47614i −0.164016 + 0.284084i
\(28\) 5.49829 + 6.08308i 1.03908 + 1.14959i
\(29\) 8.34798 1.47197i 1.55018 0.273339i 0.667969 0.744189i \(-0.267164\pi\)
0.882213 + 0.470850i \(0.156053\pi\)
\(30\) 0.478751 + 0.795056i 0.0874075 + 0.145157i
\(31\) 0.386863 + 0.670066i 0.0694826 + 0.120347i 0.898674 0.438618i \(-0.144532\pi\)
−0.829191 + 0.558965i \(0.811199\pi\)
\(32\) −5.47102 1.43802i −0.967149 0.254209i
\(33\) 0.411797 + 1.13140i 0.0716847 + 0.196952i
\(34\) −3.51965 + 3.06548i −0.603615 + 0.525726i
\(35\) −6.00353 + 7.15472i −1.01478 + 1.20937i
\(36\) 5.40504 2.19578i 0.900840 0.365964i
\(37\) 1.23521i 0.203067i −0.994832 0.101534i \(-0.967625\pi\)
0.994832 0.101534i \(-0.0323749\pi\)
\(38\) −3.34928 + 5.17516i −0.543325 + 0.839522i
\(39\) 0.167830i 0.0268743i
\(40\) 0.766949 6.39761i 0.121265 1.01155i
\(41\) −4.51238 + 5.37764i −0.704715 + 0.839847i −0.993051 0.117683i \(-0.962453\pi\)
0.288336 + 0.957529i \(0.406898\pi\)
\(42\) −1.09698 1.25950i −0.169267 0.194345i
\(43\) 1.55737 + 4.27884i 0.237497 + 0.652517i 0.999985 + 0.00551486i \(0.00175544\pi\)
−0.762488 + 0.647002i \(0.776022\pi\)
\(44\) 2.56797 7.95501i 0.387136 1.19926i
\(45\) 3.32261 + 5.75494i 0.495306 + 0.857895i
\(46\) 3.05591 1.84014i 0.450569 0.271314i
\(47\) −4.84679 + 0.854620i −0.706977 + 0.124659i −0.515565 0.856851i \(-0.672418\pi\)
−0.191412 + 0.981510i \(0.561307\pi\)
\(48\) 1.10884 + 0.313381i 0.160047 + 0.0452326i
\(49\) 4.90438 8.49464i 0.700626 1.21352i
\(50\) 0.268229 0.00493791i 0.0379333 0.000698326i
\(51\) 0.728306 0.611122i 0.101983 0.0855742i
\(52\) 0.715623 0.919566i 0.0992390 0.127521i
\(53\) −0.232598 + 0.639058i −0.0319498 + 0.0877814i −0.954642 0.297756i \(-0.903762\pi\)
0.922692 + 0.385538i \(0.125984\pi\)
\(54\) −2.24960 + 0.866004i −0.306132 + 0.117848i
\(55\) 9.37689 + 1.65340i 1.26438 + 0.222944i
\(56\) 0.640033 + 11.5784i 0.0855280 + 1.54724i
\(57\) 0.701520 1.04142i 0.0929185 0.137939i
\(58\) 10.4904 + 5.80187i 1.37746 + 0.761823i
\(59\) 0.368113 2.08767i 0.0479243 0.271792i −0.951424 0.307883i \(-0.900379\pi\)
0.999349 + 0.0360909i \(0.0114906\pi\)
\(60\) −0.180183 + 1.30006i −0.0232616 + 0.167838i
\(61\) −2.91217 1.05994i −0.372866 0.135712i 0.148789 0.988869i \(-0.452463\pi\)
−0.521654 + 0.853157i \(0.674685\pi\)
\(62\) −0.170142 + 1.08090i −0.0216080 + 0.137275i
\(63\) −7.68731 9.16138i −0.968510 1.15423i
\(64\) −4.73925 6.44512i −0.592406 0.805639i
\(65\) 1.14941 + 0.663614i 0.142567 + 0.0823112i
\(66\) −0.552820 + 1.61049i −0.0680474 + 0.198238i
\(67\) −2.44691 13.8771i −0.298938 1.69536i −0.650751 0.759291i \(-0.725546\pi\)
0.351813 0.936070i \(-0.385565\pi\)
\(68\) −6.59630 + 0.242949i −0.799919 + 0.0294619i
\(69\) −0.629267 + 0.363307i −0.0757548 + 0.0437370i
\(70\) −12.9634 + 2.53267i −1.54943 + 0.302712i
\(71\) 12.4034 4.51448i 1.47202 0.535771i 0.523370 0.852105i \(-0.324674\pi\)
0.948648 + 0.316335i \(0.102452\pi\)
\(72\) 7.89693 + 2.38964i 0.930662 + 0.281622i
\(73\) −8.59023 7.20806i −1.00541 0.843639i −0.0176852 0.999844i \(-0.505630\pi\)
−0.987725 + 0.156205i \(0.950074\pi\)
\(74\) 1.09803 1.35860i 0.127644 0.157935i
\(75\) −0.0546461 −0.00630999
\(76\) −8.28430 + 2.71483i −0.950275 + 0.311412i
\(77\) −17.1358 −1.95280
\(78\) −0.149192 + 0.184596i −0.0168926 + 0.0209014i
\(79\) 7.91111 + 6.63821i 0.890069 + 0.746857i 0.968224 0.250085i \(-0.0804585\pi\)
−0.0781550 + 0.996941i \(0.524903\pi\)
\(80\) 6.53068 6.35495i 0.730153 0.710505i
\(81\) −7.76190 + 2.82510i −0.862433 + 0.313900i
\(82\) −9.74358 + 1.90361i −1.07600 + 0.210218i
\(83\) −1.29416 + 0.747183i −0.142052 + 0.0820140i −0.569342 0.822101i \(-0.692802\pi\)
0.427289 + 0.904115i \(0.359469\pi\)
\(84\) −0.0869389 2.36047i −0.00948581 0.257549i
\(85\) −1.30559 7.40436i −0.141611 0.803115i
\(86\) −2.09070 + 6.09071i −0.225446 + 0.656778i
\(87\) −2.11474 1.22094i −0.226723 0.130899i
\(88\) 9.89607 6.46693i 1.05493 0.689377i
\(89\) 9.52313 + 11.3492i 1.00945 + 1.20302i 0.979080 + 0.203477i \(0.0652242\pi\)
0.0303703 + 0.999539i \(0.490331\pi\)
\(90\) −1.46128 + 9.28347i −0.154032 + 0.978564i
\(91\) −2.24455 0.816948i −0.235292 0.0856394i
\(92\) 4.99697 + 0.692559i 0.520971 + 0.0722043i
\(93\) 0.0387037 0.219500i 0.00401339 0.0227610i
\(94\) −6.09069 3.36853i −0.628206 0.347438i
\(95\) −4.35847 8.92233i −0.447169 0.915412i
\(96\) 0.941034 + 1.33038i 0.0960438 + 0.135782i
\(97\) 10.1050 + 1.78178i 1.02601 + 0.180913i 0.661230 0.750183i \(-0.270035\pi\)
0.364776 + 0.931095i \(0.381146\pi\)
\(98\) 12.9456 4.98352i 1.30770 0.503412i
\(99\) −4.16991 + 11.4567i −0.419092 + 1.15145i
\(100\) 0.299414 + 0.233009i 0.0299414 + 0.0233009i
\(101\) 6.70325 5.62470i 0.666999 0.559678i −0.245177 0.969478i \(-0.578846\pi\)
0.912175 + 0.409800i \(0.134402\pi\)
\(102\) 1.34432 0.0247480i 0.133107 0.00245041i
\(103\) 4.40079 7.62240i 0.433623 0.751057i −0.563559 0.826076i \(-0.690568\pi\)
0.997182 + 0.0750187i \(0.0239016\pi\)
\(104\) 1.60456 0.375281i 0.157340 0.0367993i
\(105\) 2.64963 0.467202i 0.258578 0.0455942i
\(106\) −0.823922 + 0.496133i −0.0800264 + 0.0481887i
\(107\) 0.252753 + 0.437781i 0.0244346 + 0.0423219i 0.877984 0.478690i \(-0.158888\pi\)
−0.853550 + 0.521012i \(0.825555\pi\)
\(108\) −3.24416 1.04725i −0.312170 0.100772i
\(109\) 2.13914 + 5.87723i 0.204892 + 0.562937i 0.998994 0.0448483i \(-0.0142805\pi\)
−0.794102 + 0.607785i \(0.792058\pi\)
\(110\) 8.84385 + 10.1541i 0.843228 + 0.968156i
\(111\) −0.228720 + 0.272577i −0.0217091 + 0.0258719i
\(112\) −9.58863 + 13.3041i −0.906040 + 1.25712i
\(113\) 7.26696i 0.683618i −0.939769 0.341809i \(-0.888960\pi\)
0.939769 0.341809i \(-0.111040\pi\)
\(114\) 1.69736 0.521843i 0.158973 0.0488751i
\(115\) 5.74619i 0.535835i
\(116\) 6.38088 + 15.7069i 0.592450 + 1.45835i
\(117\) −1.09240 + 1.30187i −0.100992 + 0.120358i
\(118\) 2.26071 1.96900i 0.208116 0.181261i
\(119\) 4.62790 + 12.7151i 0.424239 + 1.16559i
\(120\) −1.35387 + 1.26977i −0.123591 + 0.115913i
\(121\) 3.23459 + 5.60247i 0.294054 + 0.509316i
\(122\) −2.26086 3.75459i −0.204689 0.339925i
\(123\) 1.99152 0.351159i 0.179569 0.0316629i
\(124\) −1.14800 + 1.03764i −0.103094 + 0.0931827i
\(125\) 5.47915 9.49017i 0.490070 0.848827i
\(126\) −0.311305 16.9102i −0.0277333 1.50648i
\(127\) −6.88695 + 5.77884i −0.611118 + 0.512789i −0.894998 0.446071i \(-0.852823\pi\)
0.283879 + 0.958860i \(0.408378\pi\)
\(128\) 0.516655 11.3019i 0.0456663 0.998957i
\(129\) 0.448629 1.23260i 0.0394996 0.108524i
\(130\) 0.674323 + 1.75167i 0.0591420 + 0.153632i
\(131\) −13.5834 2.39512i −1.18679 0.209262i −0.454807 0.890590i \(-0.650292\pi\)
−0.731979 + 0.681328i \(0.761403\pi\)
\(132\) −2.03969 + 1.27995i −0.177532 + 0.111406i
\(133\) 10.5130 + 14.4514i 0.911597 + 1.25309i
\(134\) 9.64465 17.4386i 0.833171 1.50647i
\(135\) 0.674279 3.82402i 0.0580327 0.329120i
\(136\) −7.47123 5.59653i −0.640653 0.479898i
\(137\) −7.03294 2.55978i −0.600865 0.218697i 0.0236365 0.999721i \(-0.492476\pi\)
−0.624501 + 0.781024i \(0.714698\pi\)
\(138\) −1.01509 0.159782i −0.0864102 0.0136015i
\(139\) 12.3852 + 14.7601i 1.05050 + 1.25194i 0.966823 + 0.255447i \(0.0822225\pi\)
0.0836787 + 0.996493i \(0.473333\pi\)
\(140\) −16.5099 8.73809i −1.39534 0.738503i
\(141\) 1.22780 + 0.708872i 0.103400 + 0.0596978i
\(142\) 17.6557 + 6.06050i 1.48163 + 0.508586i
\(143\) 0.422845 + 2.39807i 0.0353601 + 0.200537i
\(144\) 6.56156 + 9.64830i 0.546797 + 0.804025i
\(145\) −16.7237 + 9.65542i −1.38883 + 0.801839i
\(146\) −3.04082 15.5644i −0.251660 1.28812i
\(147\) −2.65519 + 0.966410i −0.218996 + 0.0797081i
\(148\) 2.41545 0.518238i 0.198549 0.0425989i
\(149\) 1.56368 + 1.31208i 0.128101 + 0.107490i 0.704588 0.709617i \(-0.251132\pi\)
−0.576486 + 0.817107i \(0.695576\pi\)
\(150\) −0.0601052 0.0485773i −0.00490757 0.00396632i
\(151\) −9.61868 −0.782757 −0.391378 0.920230i \(-0.628002\pi\)
−0.391378 + 0.920230i \(0.628002\pi\)
\(152\) −11.5252 4.37825i −0.934820 0.355123i
\(153\) 9.62728 0.778320
\(154\) −18.8476 15.2328i −1.51879 1.22749i
\(155\) −1.35024 1.13299i −0.108454 0.0910038i
\(156\) −0.328192 + 0.0704140i −0.0262764 + 0.00563763i
\(157\) −7.10221 + 2.58499i −0.566818 + 0.206305i −0.609503 0.792784i \(-0.708631\pi\)
0.0426851 + 0.999089i \(0.486409\pi\)
\(158\) 2.80042 + 14.3339i 0.222789 + 1.14034i
\(159\) 0.169660 0.0979535i 0.0134549 0.00776822i
\(160\) 12.8323 1.18438i 1.01448 0.0936336i
\(161\) −1.79575 10.1842i −0.141525 0.802629i
\(162\) −11.0487 3.79257i −0.868064 0.297973i
\(163\) −14.3484 8.28406i −1.12385 0.648858i −0.181472 0.983396i \(-0.558086\pi\)
−0.942382 + 0.334538i \(0.891420\pi\)
\(164\) −12.4092 6.56773i −0.968993 0.512853i
\(165\) −1.76307 2.10115i −0.137255 0.163574i
\(166\) −2.08765 0.328610i −0.162033 0.0255051i
\(167\) 7.24993 + 2.63876i 0.561016 + 0.204193i 0.606934 0.794752i \(-0.292399\pi\)
−0.0459180 + 0.998945i \(0.514621\pi\)
\(168\) 2.00270 2.67356i 0.154512 0.206270i
\(169\) 2.19849 12.4682i 0.169114 0.959094i
\(170\) 5.14605 9.30464i 0.394684 0.713633i
\(171\) 12.2203 3.51220i 0.934508 0.268585i
\(172\) −7.71387 + 4.84065i −0.588177 + 0.369096i
\(173\) −9.18629 1.61979i −0.698421 0.123150i −0.186846 0.982389i \(-0.559827\pi\)
−0.511575 + 0.859239i \(0.670938\pi\)
\(174\) −1.24064 3.22280i −0.0940530 0.244320i
\(175\) 0.266001 0.730832i 0.0201078 0.0552457i
\(176\) 16.6334 + 1.68410i 1.25379 + 0.126944i
\(177\) −0.467801 + 0.392531i −0.0351620 + 0.0295045i
\(178\) 0.385649 + 20.9485i 0.0289056 + 1.57016i
\(179\) −0.791374 + 1.37070i −0.0591501 + 0.102451i −0.894084 0.447899i \(-0.852172\pi\)
0.834934 + 0.550350i \(0.185506\pi\)
\(180\) −9.85975 + 8.91188i −0.734902 + 0.664252i
\(181\) 13.1059 2.31093i 0.974156 0.171770i 0.336156 0.941806i \(-0.390873\pi\)
0.638000 + 0.770036i \(0.279762\pi\)
\(182\) −1.74255 2.89384i −0.129167 0.214505i
\(183\) 0.446372 + 0.773139i 0.0329968 + 0.0571521i
\(184\) 4.88052 + 5.20378i 0.359797 + 0.383628i
\(185\) 0.962417 + 2.64422i 0.0707583 + 0.194407i
\(186\) 0.237693 0.207022i 0.0174285 0.0151796i
\(187\) 8.86683 10.5671i 0.648407 0.772742i
\(188\) −3.70470 9.11933i −0.270193 0.665095i
\(189\) 6.98821i 0.508318i
\(190\) 3.13758 13.6881i 0.227624 0.993039i
\(191\) 12.6803i 0.917517i 0.888561 + 0.458759i \(0.151706\pi\)
−0.888561 + 0.458759i \(0.848294\pi\)
\(192\) −0.147596 + 2.29981i −0.0106518 + 0.165975i
\(193\) −14.1194 + 16.8269i −1.01634 + 1.21123i −0.0390670 + 0.999237i \(0.512439\pi\)
−0.977272 + 0.211989i \(0.932006\pi\)
\(194\) 9.53056 + 10.9426i 0.684254 + 0.785630i
\(195\) −0.130765 0.359275i −0.00936430 0.0257282i
\(196\) 18.6689 + 6.02654i 1.33349 + 0.430467i
\(197\) 2.27195 + 3.93514i 0.161870 + 0.280367i 0.935539 0.353223i \(-0.114914\pi\)
−0.773669 + 0.633590i \(0.781581\pi\)
\(198\) −14.7709 + 8.89443i −1.04972 + 0.632100i
\(199\) −11.9982 + 2.11561i −0.850530 + 0.149971i −0.581888 0.813269i \(-0.697686\pi\)
−0.268642 + 0.963240i \(0.586575\pi\)
\(200\) 0.122193 + 0.522449i 0.00864033 + 0.0369427i
\(201\) −2.02962 + 3.51540i −0.143158 + 0.247957i
\(202\) 12.3729 0.227778i 0.870557 0.0160264i
\(203\) 26.6227 22.3391i 1.86855 1.56790i
\(204\) 1.50061 + 1.16780i 0.105064 + 0.0817626i
\(205\) 5.46966 15.0278i 0.382018 1.04959i
\(206\) 11.6163 4.47180i 0.809347 0.311565i
\(207\) −7.24601 1.27767i −0.503633 0.0888040i
\(208\) 2.09845 + 1.01359i 0.145502 + 0.0702798i
\(209\) 7.39996 16.6480i 0.511866 1.15156i
\(210\) 3.32965 + 1.84150i 0.229767 + 0.127076i
\(211\) 0.635579 3.60455i 0.0437551 0.248147i −0.955083 0.296338i \(-0.904234\pi\)
0.998838 + 0.0481908i \(0.0153456\pi\)
\(212\) −1.34727 0.186725i −0.0925305 0.0128243i
\(213\) −3.57304 1.30048i −0.244821 0.0891074i
\(214\) −0.111160 + 0.706198i −0.00759877 + 0.0482747i
\(215\) −6.66775 7.94631i −0.454736 0.541934i
\(216\) −2.63730 4.03576i −0.179446 0.274598i
\(217\) 2.74717 + 1.58608i 0.186490 + 0.107670i
\(218\) −2.87170 + 8.36594i −0.194496 + 0.566613i
\(219\) 0.560940 + 3.18125i 0.0379048 + 0.214969i
\(220\) 0.700903 + 19.0302i 0.0472549 + 1.28301i
\(221\) 1.66521 0.961412i 0.112014 0.0646716i
\(222\) −0.493874 + 0.0964885i −0.0331467 + 0.00647588i
\(223\) −26.3079 + 9.57530i −1.76171 + 0.641210i −0.999978 0.00668309i \(-0.997873\pi\)
−0.761732 + 0.647893i \(0.775650\pi\)
\(224\) −22.3731 + 6.10938i −1.49487 + 0.408200i
\(225\) −0.423893 0.355689i −0.0282596 0.0237126i
\(226\) 6.45993 7.99292i 0.429708 0.531681i
\(227\) 6.26652 0.415924 0.207962 0.978137i \(-0.433317\pi\)
0.207962 + 0.978137i \(0.433317\pi\)
\(228\) 2.33082 + 0.934888i 0.154362 + 0.0619144i
\(229\) −12.6430 −0.835472 −0.417736 0.908569i \(-0.637176\pi\)
−0.417736 + 0.908569i \(0.637176\pi\)
\(230\) −5.10804 + 6.32022i −0.336814 + 0.416743i
\(231\) 3.78141 + 3.17298i 0.248798 + 0.208767i
\(232\) −6.94423 + 22.9482i −0.455911 + 1.50663i
\(233\) 6.32647 2.30265i 0.414461 0.150851i −0.126369 0.991983i \(-0.540332\pi\)
0.540830 + 0.841132i \(0.318110\pi\)
\(234\) −2.35882 + 0.460843i −0.154201 + 0.0301263i
\(235\) 9.70967 5.60588i 0.633389 0.365687i
\(236\) 4.23689 0.156049i 0.275798 0.0101580i
\(237\) −0.516593 2.92975i −0.0335563 0.190307i
\(238\) −6.21276 + 18.0992i −0.402713 + 1.17320i
\(239\) 8.72510 + 5.03744i 0.564380 + 0.325845i 0.754901 0.655838i \(-0.227685\pi\)
−0.190522 + 0.981683i \(0.561018\pi\)
\(240\) −2.61787 + 0.193100i −0.168983 + 0.0124646i
\(241\) 5.43427 + 6.47631i 0.350052 + 0.417176i 0.912125 0.409912i \(-0.134440\pi\)
−0.562073 + 0.827088i \(0.689996\pi\)
\(242\) −1.42257 + 9.03752i −0.0914460 + 0.580954i
\(243\) 7.04109 + 2.56275i 0.451686 + 0.164400i
\(244\) 0.850902 6.13946i 0.0544735 0.393038i
\(245\) −3.88021 + 22.0058i −0.247898 + 1.40590i
\(246\) 2.50263 + 1.38411i 0.159562 + 0.0882478i
\(247\) 1.76298 1.82786i 0.112176 0.116304i
\(248\) −2.18509 + 0.120787i −0.138753 + 0.00767000i
\(249\) 0.423939 + 0.0747520i 0.0268661 + 0.00473721i
\(250\) 14.4627 5.56756i 0.914705 0.352124i
\(251\) 2.91664 8.01342i 0.184097 0.505802i −0.812973 0.582302i \(-0.802152\pi\)
0.997070 + 0.0764996i \(0.0243744\pi\)
\(252\) 14.6898 18.8762i 0.925371 1.18909i
\(253\) −8.07605 + 6.77661i −0.507737 + 0.426042i
\(254\) −12.7120 + 0.234020i −0.797623 + 0.0146837i
\(255\) −1.08293 + 1.87569i −0.0678158 + 0.117460i
\(256\) 10.6150 11.9717i 0.663440 0.748230i
\(257\) −2.70278 + 0.476573i −0.168595 + 0.0297278i −0.257308 0.966329i \(-0.582836\pi\)
0.0887134 + 0.996057i \(0.471724\pi\)
\(258\) 1.58916 0.956927i 0.0989367 0.0595757i
\(259\) −2.53208 4.38570i −0.157336 0.272514i
\(260\) −0.815454 + 2.52610i −0.0505723 + 0.156662i
\(261\) −8.45709 23.2357i −0.523481 1.43825i
\(262\) −12.8112 14.7093i −0.791480 0.908741i
\(263\) 1.42151 1.69409i 0.0876540 0.104462i −0.720435 0.693523i \(-0.756058\pi\)
0.808089 + 0.589061i \(0.200502\pi\)
\(264\) −3.38126 0.405347i −0.208102 0.0249474i
\(265\) 1.54926i 0.0951706i
\(266\) −1.28318 + 25.2406i −0.0786769 + 1.54760i
\(267\) 4.26784i 0.261187i
\(268\) 26.1101 10.6072i 1.59493 0.647935i
\(269\) 9.64383 11.4931i 0.587995 0.700745i −0.387225 0.921985i \(-0.626566\pi\)
0.975219 + 0.221241i \(0.0710106\pi\)
\(270\) 4.14098 3.60664i 0.252012 0.219493i
\(271\) −8.76172 24.0726i −0.532237 1.46231i −0.856403 0.516308i \(-0.827306\pi\)
0.324166 0.946000i \(-0.394916\pi\)
\(272\) −3.24260 12.7971i −0.196611 0.775940i
\(273\) 0.344039 + 0.595893i 0.0208222 + 0.0360651i
\(274\) −5.46002 9.06740i −0.329852 0.547782i
\(275\) −0.780821 + 0.137680i −0.0470853 + 0.00830240i
\(276\) −0.974459 1.07810i −0.0586555 0.0648941i
\(277\) −4.24573 + 7.35381i −0.255101 + 0.441848i −0.964923 0.262533i \(-0.915442\pi\)
0.709822 + 0.704381i \(0.248775\pi\)
\(278\) 0.501552 + 27.2445i 0.0300811 + 1.63401i
\(279\) 1.72894 1.45075i 0.103509 0.0868542i
\(280\) −10.3915 24.2874i −0.621011 1.45145i
\(281\) −0.393696 + 1.08167i −0.0234859 + 0.0645270i −0.950882 0.309555i \(-0.899820\pi\)
0.927396 + 0.374082i \(0.122042\pi\)
\(282\) 0.720311 + 1.87114i 0.0428939 + 0.111425i
\(283\) 9.24245 + 1.62969i 0.549407 + 0.0968752i 0.441459 0.897281i \(-0.354461\pi\)
0.107948 + 0.994157i \(0.465572\pi\)
\(284\) 14.0320 + 22.3608i 0.832646 + 1.32687i
\(285\) −0.690322 + 2.77596i −0.0408911 + 0.164434i
\(286\) −1.66667 + 3.01352i −0.0985521 + 0.178193i
\(287\) −4.99777 + 28.3437i −0.295009 + 1.67308i
\(288\) −1.35975 + 16.4450i −0.0801238 + 0.969032i
\(289\) 5.73912 + 2.08887i 0.337595 + 0.122875i
\(290\) −26.9775 4.24644i −1.58417 0.249359i
\(291\) −1.89997 2.26430i −0.111378 0.132736i
\(292\) 10.4913 19.8223i 0.613955 1.16002i
\(293\) −15.9687 9.21954i −0.932902 0.538611i −0.0451738 0.998979i \(-0.514384\pi\)
−0.887728 + 0.460368i \(0.847717\pi\)
\(294\) −3.77952 1.29736i −0.220426 0.0756637i
\(295\) 0.838596 + 4.75591i 0.0488249 + 0.276900i
\(296\) 3.11743 + 1.57719i 0.181197 + 0.0916723i
\(297\) 6.16971 3.56209i 0.358003 0.206693i
\(298\) 0.553520 + 2.83318i 0.0320645 + 0.164122i
\(299\) −1.38092 + 0.502615i −0.0798608 + 0.0290669i
\(300\) −0.0229270 0.106860i −0.00132369 0.00616958i
\(301\) 14.3009 + 11.9999i 0.824288 + 0.691660i
\(302\) −10.5796 8.55047i −0.608786 0.492024i
\(303\) −2.52073 −0.144812
\(304\) −8.78456 15.0609i −0.503829 0.863803i
\(305\) 7.05996 0.404252
\(306\) 10.5890 + 8.55812i 0.605335 + 0.489235i
\(307\) 4.28349 + 3.59427i 0.244471 + 0.205136i 0.756787 0.653661i \(-0.226768\pi\)
−0.512316 + 0.858797i \(0.671212\pi\)
\(308\) −7.18941 33.5090i −0.409655 1.90935i
\(309\) −2.38255 + 0.867177i −0.135539 + 0.0493320i
\(310\) −0.477967 2.44646i −0.0271467 0.138950i
\(311\) −10.3643 + 5.98382i −0.587704 + 0.339311i −0.764189 0.644992i \(-0.776861\pi\)
0.176485 + 0.984303i \(0.443527\pi\)
\(312\) −0.423572 0.214296i −0.0239800 0.0121321i
\(313\) −2.75949 15.6499i −0.155976 0.884582i −0.957888 0.287141i \(-0.907295\pi\)
0.801913 0.597441i \(-0.203816\pi\)
\(314\) −10.1096 3.47024i −0.570519 0.195837i
\(315\) 23.5944 + 13.6222i 1.32939 + 0.767525i
\(316\) −9.66186 + 18.2552i −0.543522 + 1.02694i
\(317\) 10.8229 + 12.8982i 0.607875 + 0.724437i 0.978935 0.204172i \(-0.0654500\pi\)
−0.371060 + 0.928609i \(0.621006\pi\)
\(318\) 0.273685 + 0.0430798i 0.0153475 + 0.00241579i
\(319\) −33.2929 12.1176i −1.86405 0.678458i
\(320\) 15.1671 + 10.1045i 0.847865 + 0.564858i
\(321\) 0.0252867 0.143408i 0.00141137 0.00800425i
\(322\) 7.07806 12.7979i 0.394445 0.713202i
\(323\) −14.3516 0.994743i −0.798546 0.0553490i
\(324\) −8.78102 13.9931i −0.487834 0.777394i
\(325\) −0.108840 0.0191915i −0.00603738 0.00106455i
\(326\) −8.41773 21.8666i −0.466215 1.21108i
\(327\) 0.616218 1.69304i 0.0340769 0.0936255i
\(328\) −7.81047 18.2549i −0.431261 1.00796i
\(329\) −15.4570 + 12.9699i −0.852171 + 0.715056i
\(330\) −0.0713974 3.87832i −0.00393029 0.213495i
\(331\) −7.28237 + 12.6134i −0.400275 + 0.693297i −0.993759 0.111549i \(-0.964419\pi\)
0.593484 + 0.804846i \(0.297752\pi\)
\(332\) −2.00409 2.21724i −0.109989 0.121687i
\(333\) −3.54839 + 0.625676i −0.194450 + 0.0342868i
\(334\) 5.62848 + 9.34715i 0.307977 + 0.511453i
\(335\) 16.0505 + 27.8003i 0.876934 + 1.51889i
\(336\) 4.57942 1.16036i 0.249828 0.0633027i
\(337\) 0.136737 + 0.375681i 0.00744853 + 0.0204647i 0.943361 0.331768i \(-0.107645\pi\)
−0.935913 + 0.352232i \(0.885423\pi\)
\(338\) 13.5017 11.7595i 0.734394 0.639630i
\(339\) −1.34560 + 1.60362i −0.0730829 + 0.0870968i
\(340\) 13.9314 5.65961i 0.755539 0.306935i
\(341\) 3.23387i 0.175124i
\(342\) 16.5632 + 7.00009i 0.895636 + 0.378521i
\(343\) 11.5155i 0.621779i
\(344\) −12.7875 1.53298i −0.689458 0.0826526i
\(345\) 1.06400 1.26803i 0.0572840 0.0682684i
\(346\) −8.66409 9.94771i −0.465784 0.534792i
\(347\) −6.38859 17.5525i −0.342958 0.942268i −0.984532 0.175207i \(-0.943941\pi\)
0.641574 0.767061i \(-0.278282\pi\)
\(348\) 1.50030 4.64762i 0.0804248 0.249138i
\(349\) −3.47936 6.02643i −0.186246 0.322587i 0.757750 0.652545i \(-0.226299\pi\)
−0.943996 + 0.329958i \(0.892965\pi\)
\(350\) 0.942243 0.567381i 0.0503650 0.0303278i
\(351\) 0.977967 0.172442i 0.0522000 0.00920427i
\(352\) 16.7980 + 16.6385i 0.895337 + 0.886836i
\(353\) −2.82935 + 4.90058i −0.150591 + 0.260831i −0.931445 0.363882i \(-0.881451\pi\)
0.780854 + 0.624714i \(0.214784\pi\)
\(354\) −0.863472 + 0.0158959i −0.0458930 + 0.000844860i
\(355\) −23.0346 + 19.3284i −1.22255 + 1.02584i
\(356\) −18.1979 + 23.3841i −0.964488 + 1.23935i
\(357\) 1.33315 3.66281i 0.0705579 0.193856i
\(358\) −2.08891 + 0.804144i −0.110402 + 0.0425003i
\(359\) 22.1724 + 3.90959i 1.17022 + 0.206340i 0.724784 0.688976i \(-0.241939\pi\)
0.445431 + 0.895316i \(0.353051\pi\)
\(360\) −18.7669 + 1.03740i −0.989102 + 0.0546756i
\(361\) −18.5800 + 3.97305i −0.977893 + 0.209108i
\(362\) 16.4695 + 9.10865i 0.865617 + 0.478740i
\(363\) 0.323605 1.83525i 0.0169848 0.0963258i
\(364\) 0.655829 4.73196i 0.0343748 0.248022i
\(365\) 24.0053 + 8.73722i 1.25650 + 0.457327i
\(366\) −0.196314 + 1.24717i −0.0102615 + 0.0651908i
\(367\) 19.3515 + 23.0622i 1.01014 + 1.20384i 0.978903 + 0.204323i \(0.0654994\pi\)
0.0312345 + 0.999512i \(0.490056\pi\)
\(368\) 0.742207 + 10.0621i 0.0386902 + 0.524525i
\(369\) 17.7340 + 10.2387i 0.923197 + 0.533008i
\(370\) −1.29200 + 3.76391i −0.0671680 + 0.195676i
\(371\) 0.484164 + 2.74583i 0.0251366 + 0.142557i
\(372\) 0.445469 0.0164071i 0.0230965 0.000850671i
\(373\) 15.0172 8.67020i 0.777562 0.448926i −0.0580034 0.998316i \(-0.518473\pi\)
0.835566 + 0.549391i \(0.185140\pi\)
\(374\) 19.1462 3.74060i 0.990025 0.193422i
\(375\) −2.96636 + 1.07967i −0.153182 + 0.0557538i
\(376\) 4.03178 13.3236i 0.207923 0.687113i
\(377\) −3.78320 3.17448i −0.194844 0.163494i
\(378\) −6.21213 + 7.68633i −0.319518 + 0.395342i
\(379\) 13.0139 0.668480 0.334240 0.942488i \(-0.391520\pi\)
0.334240 + 0.942488i \(0.391520\pi\)
\(380\) 15.6190 12.2664i 0.801237 0.629252i
\(381\) 2.58981 0.132680
\(382\) −11.2721 + 13.9471i −0.576732 + 0.713595i
\(383\) −21.9719 18.4366i −1.12271 0.942068i −0.123975 0.992285i \(-0.539564\pi\)
−0.998738 + 0.0502175i \(0.984009\pi\)
\(384\) −2.20675 + 2.39836i −0.112613 + 0.122391i
\(385\) 36.6827 13.3514i 1.86952 0.680450i
\(386\) −30.4881 + 5.95648i −1.55180 + 0.303177i
\(387\) 11.5030 6.64124i 0.584729 0.337593i
\(388\) 0.755327 + 20.5078i 0.0383459 + 1.04113i
\(389\) 5.59981 + 31.7581i 0.283921 + 1.61020i 0.709113 + 0.705095i \(0.249096\pi\)
−0.425191 + 0.905104i \(0.639793\pi\)
\(390\) 0.175547 0.511409i 0.00888916 0.0258962i
\(391\) 7.20948 + 4.16240i 0.364599 + 0.210501i
\(392\) 15.1767 + 23.2242i 0.766537 + 1.17300i
\(393\) 2.55399 + 3.04373i 0.128832 + 0.153536i
\(394\) −0.999201 + 6.34789i −0.0503390 + 0.319802i
\(395\) −22.1075 8.04648i −1.11235 0.404862i
\(396\) −24.1531 3.34752i −1.21374 0.168219i
\(397\) 2.86736 16.2616i 0.143909 0.816146i −0.824328 0.566112i \(-0.808447\pi\)
0.968237 0.250034i \(-0.0804419\pi\)
\(398\) −15.0775 8.33878i −0.755765 0.417985i
\(399\) 0.355967 5.13570i 0.0178206 0.257106i
\(400\) −0.330028 + 0.683264i −0.0165014 + 0.0341632i
\(401\) −22.0221 3.88308i −1.09973 0.193912i −0.405805 0.913960i \(-0.633009\pi\)
−0.693925 + 0.720048i \(0.744120\pi\)
\(402\) −5.35736 + 2.06237i −0.267201 + 0.102861i
\(403\) 0.154175 0.423591i 0.00767999 0.0211006i
\(404\) 13.8115 + 10.7483i 0.687146 + 0.534749i
\(405\) 14.4147 12.0954i 0.716274 0.601026i
\(406\) 49.1405 0.904644i 2.43880 0.0448967i
\(407\) −2.58135 + 4.47103i −0.127953 + 0.221621i
\(408\) 0.612410 + 2.61843i 0.0303188 + 0.129631i
\(409\) −21.3931 + 3.77218i −1.05782 + 0.186522i −0.675389 0.737462i \(-0.736024\pi\)
−0.382431 + 0.923984i \(0.624913\pi\)
\(410\) 19.3749 11.6668i 0.956860 0.576183i
\(411\) 1.07799 + 1.86714i 0.0531736 + 0.0920993i
\(412\) 16.7520 + 5.40773i 0.825310 + 0.266420i
\(413\) −2.97256 8.16705i −0.146270 0.401874i
\(414\) −6.83410 7.84661i −0.335878 0.385640i
\(415\) 2.18824 2.60785i 0.107417 0.128014i
\(416\) 1.40706 + 2.98025i 0.0689868 + 0.146119i
\(417\) 5.55050i 0.271809i
\(418\) 22.9383 11.7329i 1.12195 0.573877i
\(419\) 13.1962i 0.644678i −0.946624 0.322339i \(-0.895531\pi\)
0.946624 0.322339i \(-0.104469\pi\)
\(420\) 2.02528 + 4.98534i 0.0988235 + 0.243260i
\(421\) −4.59262 + 5.47327i −0.223830 + 0.266751i −0.866259 0.499595i \(-0.833482\pi\)
0.642429 + 0.766345i \(0.277927\pi\)
\(422\) 3.90332 3.39965i 0.190011 0.165492i
\(423\) 4.91013 + 13.4905i 0.238739 + 0.655930i
\(424\) −1.31587 1.40302i −0.0639041 0.0681368i
\(425\) 0.313039 + 0.542200i 0.0151846 + 0.0263005i
\(426\) −2.77393 4.60663i −0.134397 0.223192i
\(427\) −12.5127 + 2.20633i −0.605532 + 0.106772i
\(428\) −0.750036 + 0.677931i −0.0362544 + 0.0327691i
\(429\) 0.350733 0.607487i 0.0169335 0.0293297i
\(430\) −0.270017 14.6674i −0.0130214 0.707325i
\(431\) 10.9959 9.22664i 0.529653 0.444432i −0.338329 0.941028i \(-0.609862\pi\)
0.867982 + 0.496596i \(0.165417\pi\)
\(432\) 0.686798 6.78334i 0.0330436 0.326364i
\(433\) −9.93835 + 27.3054i −0.477607 + 1.31221i 0.433912 + 0.900955i \(0.357133\pi\)
−0.911519 + 0.411258i \(0.865089\pi\)
\(434\) 1.61167 + 4.18661i 0.0773627 + 0.200964i
\(435\) 5.47833 + 0.965977i 0.262666 + 0.0463151i
\(436\) −10.5954 + 6.64890i −0.507429 + 0.318425i
\(437\) 10.6698 + 2.65335i 0.510405 + 0.126927i
\(438\) −2.21098 + 3.99769i −0.105644 + 0.191017i
\(439\) 4.75454 26.9643i 0.226922 1.28694i −0.632055 0.774923i \(-0.717788\pi\)
0.858977 0.512014i \(-0.171100\pi\)
\(440\) −16.1459 + 21.5543i −0.769723 + 1.02756i
\(441\) −26.8868 9.78599i −1.28032 0.466000i
\(442\) 2.68621 + 0.422827i 0.127770 + 0.0201118i
\(443\) −9.24631 11.0193i −0.439305 0.523544i 0.500278 0.865865i \(-0.333231\pi\)
−0.939583 + 0.342321i \(0.888787\pi\)
\(444\) −0.628985 0.332899i −0.0298503 0.0157987i
\(445\) −29.2290 16.8754i −1.38559 0.799969i
\(446\) −37.4480 12.8544i −1.77321 0.608675i
\(447\) −0.102108 0.579082i −0.00482953 0.0273896i
\(448\) −30.0391 13.1688i −1.41921 0.622165i
\(449\) −19.6084 + 11.3209i −0.925380 + 0.534268i −0.885347 0.464930i \(-0.846079\pi\)
−0.0400325 + 0.999198i \(0.512746\pi\)
\(450\) −0.150052 0.768039i −0.00707353 0.0362057i
\(451\) 27.5715 10.0352i 1.29829 0.472539i
\(452\) 14.2105 3.04889i 0.668407 0.143408i
\(453\) 2.12258 + 1.78106i 0.0997276 + 0.0836814i
\(454\) 6.89254 + 5.57059i 0.323483 + 0.261441i
\(455\) 5.44144 0.255099
\(456\) 1.73260 + 3.10025i 0.0811365 + 0.145183i
\(457\) 20.3699 0.952862 0.476431 0.879212i \(-0.341930\pi\)
0.476431 + 0.879212i \(0.341930\pi\)
\(458\) −13.9060 11.2389i −0.649785 0.525160i
\(459\) −4.30940 3.61602i −0.201146 0.168781i
\(460\) −11.2367 + 2.41084i −0.523912 + 0.112406i
\(461\) −17.2074 + 6.26298i −0.801429 + 0.291696i −0.710078 0.704123i \(-0.751341\pi\)
−0.0913504 + 0.995819i \(0.529118\pi\)
\(462\) 1.33856 + 6.85142i 0.0622757 + 0.318757i
\(463\) 8.71218 5.02998i 0.404890 0.233763i −0.283702 0.958912i \(-0.591563\pi\)
0.688592 + 0.725149i \(0.258229\pi\)
\(464\) −28.0377 + 19.0677i −1.30162 + 0.885196i
\(465\) 0.0881705 + 0.500040i 0.00408881 + 0.0231888i
\(466\) 9.00540 + 3.09120i 0.417167 + 0.143197i
\(467\) −4.54318 2.62300i −0.210233 0.121378i 0.391187 0.920311i \(-0.372065\pi\)
−0.601420 + 0.798933i \(0.705398\pi\)
\(468\) −3.00413 1.58998i −0.138866 0.0734967i
\(469\) −37.1350 44.2558i −1.71474 2.04354i
\(470\) 15.6630 + 2.46546i 0.722479 + 0.113723i
\(471\) 2.04592 + 0.744654i 0.0942711 + 0.0343119i
\(472\) 4.79887 + 3.59472i 0.220886 + 0.165460i
\(473\) 3.30481 18.7425i 0.151955 0.861782i
\(474\) 2.03618 3.68165i 0.0935249 0.169104i
\(475\) 0.595156 + 0.574033i 0.0273076 + 0.0263384i
\(476\) −22.9226 + 14.3845i −1.05066 + 0.659314i
\(477\) 1.95364 + 0.344480i 0.0894511 + 0.0157726i
\(478\) 5.11872 + 13.2968i 0.234125 + 0.608181i
\(479\) −1.67304 + 4.59663i −0.0764430 + 0.210025i −0.972028 0.234865i \(-0.924535\pi\)
0.895585 + 0.444890i \(0.146757\pi\)
\(480\) −3.05105 2.11475i −0.139261 0.0965247i
\(481\) −0.551276 + 0.462575i −0.0251360 + 0.0210916i
\(482\) 0.220066 + 11.9541i 0.0100237 + 0.544492i
\(483\) −1.48950 + 2.57990i −0.0677748 + 0.117389i
\(484\) −9.59854 + 8.67578i −0.436297 + 0.394354i
\(485\) −23.0201 + 4.05906i −1.04529 + 0.184312i
\(486\) 5.46634 + 9.07790i 0.247958 + 0.411782i
\(487\) −9.66172 16.7346i −0.437814 0.758317i 0.559706 0.828691i \(-0.310914\pi\)
−0.997521 + 0.0703744i \(0.977581\pi\)
\(488\) 6.39354 5.99638i 0.289422 0.271443i
\(489\) 1.63238 + 4.48492i 0.0738186 + 0.202815i
\(490\) −23.8298 + 20.7548i −1.07652 + 0.937608i
\(491\) 14.7254 17.5490i 0.664547 0.791977i −0.323483 0.946234i \(-0.604854\pi\)
0.988031 + 0.154257i \(0.0492984\pi\)
\(492\) 1.52224 + 3.74708i 0.0686280 + 0.168932i
\(493\) 27.9766i 1.26000i
\(494\) 3.56396 0.443264i 0.160350 0.0199434i
\(495\) 27.7745i 1.24837i
\(496\) −2.51075 1.80957i −0.112736 0.0812521i
\(497\) 34.7850 41.4551i 1.56032 1.85952i
\(498\) 0.399840 + 0.459078i 0.0179173 + 0.0205718i
\(499\) −0.869506 2.38895i −0.0389245 0.106944i 0.918708 0.394938i \(-0.129234\pi\)
−0.957632 + 0.287994i \(0.907012\pi\)
\(500\) 20.8568 + 6.73282i 0.932745 + 0.301101i
\(501\) −1.11125 1.92475i −0.0496472 0.0859914i
\(502\) 10.3315 6.22121i 0.461117 0.277666i
\(503\) 39.8057 7.01881i 1.77485 0.312953i 0.812132 0.583473i \(-0.198307\pi\)
0.962714 + 0.270520i \(0.0871955\pi\)
\(504\) 32.9372 7.70351i 1.46714 0.343142i
\(505\) −9.96719 + 17.2637i −0.443534 + 0.768224i
\(506\) −14.9069 + 0.274425i −0.662691 + 0.0121997i
\(507\) −2.79385 + 2.34432i −0.124079 + 0.104115i
\(508\) −14.1900 11.0429i −0.629578 0.489949i
\(509\) 2.34020 6.42964i 0.103728 0.284989i −0.876962 0.480559i \(-0.840434\pi\)
0.980690 + 0.195570i \(0.0626558\pi\)
\(510\) −2.85850 + 1.10041i −0.126577 + 0.0487268i
\(511\) −45.2762 7.98342i −2.00290 0.353166i
\(512\) 22.3176 3.73145i 0.986309 0.164909i
\(513\) −6.78927 3.01781i −0.299754 0.133239i
\(514\) −3.39643 1.87844i −0.149810 0.0828545i
\(515\) −3.48179 + 19.7462i −0.153426 + 0.870121i
\(516\) 2.59857 + 0.360151i 0.114396 + 0.0158547i
\(517\) 19.3297 + 7.03543i 0.850118 + 0.309418i
\(518\) 1.11361 7.07471i 0.0489291 0.310845i
\(519\) 1.72724 + 2.05844i 0.0758173 + 0.0903555i
\(520\) −3.14248 + 2.05356i −0.137807 + 0.0900546i
\(521\) 32.2497 + 18.6194i 1.41288 + 0.815729i 0.995659 0.0930744i \(-0.0296694\pi\)
0.417225 + 0.908803i \(0.363003\pi\)
\(522\) 11.3533 33.0748i 0.496919 1.44764i
\(523\) 7.68298 + 43.5724i 0.335953 + 1.90529i 0.417611 + 0.908626i \(0.362868\pi\)
−0.0816571 + 0.996660i \(0.526021\pi\)
\(524\) −1.01533 27.5672i −0.0443549 1.20428i
\(525\) −0.194025 + 0.112020i −0.00846794 + 0.00488897i
\(526\) 3.06947 0.599683i 0.133835 0.0261474i
\(527\) −2.39959 + 0.873380i −0.104528 + 0.0380450i
\(528\) −3.35871 3.45159i −0.146169 0.150211i
\(529\) 12.7452 + 10.6945i 0.554138 + 0.464977i
\(530\) 1.37721 1.70403i 0.0598222 0.0740185i
\(531\) −6.18373 −0.268351
\(532\) −23.8488 + 26.6214i −1.03398 + 1.15418i
\(533\) 4.08990 0.177153
\(534\) 3.79387 4.69419i 0.164177 0.203137i
\(535\) −0.882168 0.740227i −0.0381395 0.0320028i
\(536\) 38.1476 + 11.5436i 1.64773 + 0.498609i
\(537\) 0.428443 0.155940i 0.0184887 0.00672933i
\(538\) 20.8239 4.06838i 0.897784 0.175400i
\(539\) −35.5043 + 20.4984i −1.52928 + 0.882930i
\(540\) 7.76077 0.285838i 0.333970 0.0123005i
\(541\) 6.37799 + 36.1714i 0.274211 + 1.55513i 0.741456 + 0.671001i \(0.234135\pi\)
−0.467245 + 0.884128i \(0.654753\pi\)
\(542\) 11.7622 34.2662i 0.505231 1.47186i
\(543\) −3.32003 1.91682i −0.142476 0.0822587i
\(544\) 7.80940 16.9580i 0.334825 0.727070i
\(545\) −9.15853 10.9147i −0.392308 0.467535i
\(546\) −0.151308 + 0.961254i −0.00647538 + 0.0411379i
\(547\) 30.6008 + 11.1378i 1.30840 + 0.476217i 0.899722 0.436464i \(-0.143769\pi\)
0.408673 + 0.912681i \(0.365992\pi\)
\(548\) 2.05494 14.8269i 0.0877828 0.633373i
\(549\) −1.56979 + 8.90270i −0.0669969 + 0.379958i
\(550\) −0.981214 0.542673i −0.0418391 0.0231396i
\(551\) 10.2063 + 35.5118i 0.434805 + 1.51285i
\(552\) −0.113433 2.05204i −0.00482802 0.0873408i
\(553\) 41.6968 + 7.35227i 1.77313 + 0.312650i
\(554\) −11.2070 + 4.31424i −0.476140 + 0.183294i
\(555\) 0.277242 0.761715i 0.0117683 0.0323330i
\(556\) −23.6672 + 30.4120i −1.00371 + 1.28976i
\(557\) 9.87223 8.28378i 0.418300 0.350995i −0.409216 0.912438i \(-0.634198\pi\)
0.827516 + 0.561442i \(0.189753\pi\)
\(558\) 3.19130 0.0587496i 0.135098 0.00248707i
\(559\) 1.32643 2.29745i 0.0561021 0.0971717i
\(560\) 10.1605 35.9511i 0.429360 1.51921i
\(561\) −3.91334 + 0.690028i −0.165221 + 0.0291330i
\(562\) −1.39457 + 0.839754i −0.0588264 + 0.0354229i
\(563\) −2.06206 3.57160i −0.0869055 0.150525i 0.819296 0.573371i \(-0.194365\pi\)
−0.906202 + 0.422846i \(0.861031\pi\)
\(564\) −0.871068 + 2.69838i −0.0366786 + 0.113622i
\(565\) 5.66208 + 15.5564i 0.238205 + 0.654464i
\(566\) 8.71705 + 10.0085i 0.366405 + 0.420690i
\(567\) −21.7679 + 25.9420i −0.914168 + 1.08946i
\(568\) −4.44377 + 37.0683i −0.186456 + 1.55535i
\(569\) 2.71200i 0.113693i −0.998383 0.0568466i \(-0.981895\pi\)
0.998383 0.0568466i \(-0.0181046\pi\)
\(570\) −3.22696 + 2.43962i −0.135162 + 0.102184i
\(571\) 27.8695i 1.16630i 0.812363 + 0.583152i \(0.198181\pi\)
−0.812363 + 0.583152i \(0.801819\pi\)
\(572\) −4.51202 + 1.83300i −0.188657 + 0.0766414i
\(573\) 2.34798 2.79821i 0.0980881 0.116897i
\(574\) −30.6931 + 26.7325i −1.28110 + 1.11579i
\(575\) −0.163653 0.449633i −0.00682480 0.0187510i
\(576\) −16.1143 + 16.8791i −0.671429 + 0.703297i
\(577\) −20.7062 35.8643i −0.862012 1.49305i −0.869983 0.493081i \(-0.835871\pi\)
0.00797112 0.999968i \(-0.497463\pi\)
\(578\) 4.45556 + 7.39931i 0.185327 + 0.307771i
\(579\) 6.23156 1.09879i 0.258975 0.0456642i
\(580\) −25.8977 28.6521i −1.07534 1.18972i
\(581\) −3.06334 + 5.30586i −0.127089 + 0.220124i
\(582\) −0.0769412 4.17947i −0.00318932 0.173245i
\(583\) 2.17743 1.82708i 0.0901801 0.0756701i
\(584\) 29.1603 12.4764i 1.20666 0.516278i
\(585\) 1.32415 3.63807i 0.0547468 0.150415i
\(586\) −9.36831 24.3359i −0.387001 1.00531i
\(587\) −14.7610 2.60276i −0.609252 0.107428i −0.139494 0.990223i \(-0.544548\pi\)
−0.469758 + 0.882795i \(0.655659\pi\)
\(588\) −3.00381 4.78676i −0.123875 0.197402i
\(589\) −2.72727 + 1.98403i −0.112375 + 0.0817504i
\(590\) −3.30537 + 5.97649i −0.136080 + 0.246048i
\(591\) 0.227298 1.28907i 0.00934977 0.0530252i
\(592\) 2.02683 + 4.50598i 0.0833021 + 0.185194i
\(593\) −7.47341 2.72010i −0.306896 0.111701i 0.183981 0.982930i \(-0.441101\pi\)
−0.490877 + 0.871229i \(0.663324\pi\)
\(594\) 9.95256 + 1.56660i 0.408358 + 0.0642783i
\(595\) −19.8140 23.6134i −0.812293 0.968053i
\(596\) −1.90972 + 3.60826i −0.0782253 + 0.147800i
\(597\) 3.03942 + 1.75481i 0.124395 + 0.0718195i
\(598\) −1.96567 0.674738i −0.0803823 0.0275921i
\(599\) −4.61115 26.1511i −0.188407 1.06851i −0.921500 0.388379i \(-0.873035\pi\)
0.733093 0.680128i \(-0.238076\pi\)
\(600\) 0.0697755 0.137916i 0.00284857 0.00563041i
\(601\) 22.0067 12.7056i 0.897673 0.518272i 0.0212282 0.999775i \(-0.493242\pi\)
0.876444 + 0.481503i \(0.159909\pi\)
\(602\) 5.06230 + 25.9113i 0.206324 + 1.05607i
\(603\) −38.6254 + 14.0585i −1.57295 + 0.572506i
\(604\) −4.03556 18.8093i −0.164205 0.765340i
\(605\) −11.2895 9.47300i −0.458983 0.385132i
\(606\) −2.77255 2.24079i −0.112627 0.0910260i
\(607\) 13.6931 0.555787 0.277894 0.960612i \(-0.410364\pi\)
0.277894 + 0.960612i \(0.410364\pi\)
\(608\) 3.72619 24.3745i 0.151117 0.988516i
\(609\) −10.0114 −0.405681
\(610\) 7.76525 + 6.27592i 0.314406 + 0.254104i
\(611\) 2.19650 + 1.84308i 0.0888609 + 0.0745631i
\(612\) 4.03918 + 18.8261i 0.163274 + 0.761001i
\(613\) 18.5018 6.73412i 0.747282 0.271988i 0.0598205 0.998209i \(-0.480947\pi\)
0.687462 + 0.726221i \(0.258725\pi\)
\(614\) 1.51629 + 7.76112i 0.0611926 + 0.313213i
\(615\) −3.98965 + 2.30343i −0.160878 + 0.0928831i
\(616\) 21.8800 43.2475i 0.881571 1.74249i
\(617\) 0.953161 + 5.40564i 0.0383728 + 0.217623i 0.997964 0.0637735i \(-0.0203135\pi\)
−0.959592 + 0.281396i \(0.909202\pi\)
\(618\) −3.39144 1.16415i −0.136424 0.0468289i
\(619\) 12.3997 + 7.15899i 0.498388 + 0.287744i 0.728047 0.685527i \(-0.240428\pi\)
−0.229660 + 0.973271i \(0.573761\pi\)
\(620\) 1.64905 3.11575i 0.0662276 0.125131i
\(621\) 2.76359 + 3.29352i 0.110899 + 0.132165i
\(622\) −16.7189 2.63167i −0.670369 0.105521i
\(623\) 57.0776 + 20.7746i 2.28677 + 0.832315i
\(624\) −0.275389 0.612236i −0.0110244 0.0245090i
\(625\) −4.49966 + 25.5188i −0.179986 + 1.02075i
\(626\) 10.8767 19.6663i 0.434720 0.786023i
\(627\) −4.71562 + 2.30353i −0.188324 + 0.0919943i
\(628\) −8.03472 12.8038i −0.320620 0.510928i
\(629\) 4.01473 + 0.707906i 0.160078 + 0.0282261i
\(630\) 13.8420 + 35.9572i 0.551480 + 1.43257i
\(631\) 0.896513 2.46315i 0.0356896 0.0980565i −0.920568 0.390583i \(-0.872274\pi\)
0.956258 + 0.292526i \(0.0944958\pi\)
\(632\) −26.8550 + 11.4901i −1.06823 + 0.457050i
\(633\) −0.807698 + 0.677739i −0.0321031 + 0.0269377i
\(634\) 0.438284 + 23.8077i 0.0174065 + 0.945526i
\(635\) 10.2403 17.7368i 0.406375 0.703863i
\(636\) 0.262730 + 0.290674i 0.0104179 + 0.0115260i
\(637\) −5.62782 + 0.992337i −0.222982 + 0.0393178i
\(638\) −25.8470 42.9238i −1.02329 1.69937i
\(639\) −19.2515 33.3446i −0.761579 1.31909i
\(640\) 7.69991 + 24.5966i 0.304366 + 0.972266i
\(641\) 12.1986 + 33.5152i 0.481814 + 1.32377i 0.907937 + 0.419107i \(0.137657\pi\)
−0.426123 + 0.904665i \(0.640121\pi\)
\(642\) 0.155295 0.135256i 0.00612899 0.00533812i
\(643\) −15.4800 + 18.4484i −0.610472 + 0.727532i −0.979401 0.201925i \(-0.935280\pi\)
0.368929 + 0.929458i \(0.379725\pi\)
\(644\) 19.1618 7.78444i 0.755081 0.306750i
\(645\) 2.98818i 0.117660i
\(646\) −14.9011 13.8519i −0.586274 0.544996i
\(647\) 28.8314i 1.13348i 0.823897 + 0.566740i \(0.191796\pi\)
−0.823897 + 0.566740i \(0.808204\pi\)
\(648\) 2.78085 23.1968i 0.109242 0.911257i
\(649\) −5.69528 + 6.78737i −0.223559 + 0.266428i
\(650\) −0.102653 0.117862i −0.00402639 0.00462292i
\(651\) −0.312537 0.858689i −0.0122493 0.0336547i
\(652\) 10.1795 31.5339i 0.398661 1.23496i
\(653\) −21.8194 37.7923i −0.853859 1.47893i −0.877699 0.479212i \(-0.840923\pi\)
0.0238403 0.999716i \(-0.492411\pi\)
\(654\) 2.18280 1.31439i 0.0853542 0.0513969i
\(655\) 30.9442 5.45629i 1.20909 0.213195i
\(656\) 7.63686 27.0216i 0.298169 1.05502i
\(657\) −16.3553 + 28.3283i −0.638083 + 1.10519i
\(658\) −28.5307 + 0.525231i −1.11224 + 0.0204756i
\(659\) −30.8465 + 25.8833i −1.20161 + 1.00827i −0.202025 + 0.979380i \(0.564752\pi\)
−0.999583 + 0.0288882i \(0.990803\pi\)
\(660\) 3.36908 4.32923i 0.131141 0.168515i
\(661\) 5.51264 15.1459i 0.214417 0.589106i −0.785126 0.619336i \(-0.787402\pi\)
0.999543 + 0.0302304i \(0.00962411\pi\)
\(662\) −19.2225 + 7.39988i −0.747105 + 0.287605i
\(663\) −0.545489 0.0961845i −0.0211851 0.00373550i
\(664\) −0.233288 4.22026i −0.00905331 0.163778i
\(665\) −33.7652 22.7449i −1.30936 0.882008i
\(666\) −4.45906 2.46614i −0.172785 0.0955609i
\(667\) 3.71286 21.0567i 0.143763 0.815319i
\(668\) −2.11834 + 15.2843i −0.0819611 + 0.591368i
\(669\) 7.57848 + 2.75834i 0.293001 + 0.106644i
\(670\) −7.05900 + 44.8456i −0.272713 + 1.73254i
\(671\) 8.32598 + 9.92251i 0.321421 + 0.383054i
\(672\) 6.06840 + 2.79458i 0.234093 + 0.107803i
\(673\) −20.0030 11.5487i −0.771058 0.445171i 0.0621939 0.998064i \(-0.480190\pi\)
−0.833252 + 0.552894i \(0.813524\pi\)
\(674\) −0.183563 + 0.534763i −0.00707059 + 0.0205983i
\(675\) 0.0561477 + 0.318430i 0.00216113 + 0.0122564i
\(676\) 25.3040 0.931975i 0.973230 0.0358452i
\(677\) 25.2730 14.5914i 0.971321 0.560792i 0.0716821 0.997428i \(-0.477163\pi\)
0.899639 + 0.436635i \(0.143830\pi\)
\(678\) −2.90556 + 0.567660i −0.111587 + 0.0218008i
\(679\) 39.5310 14.3881i 1.51706 0.552165i
\(680\) 20.3543 + 6.15928i 0.780550 + 0.236198i
\(681\) −1.38285 1.16035i −0.0529910 0.0444648i
\(682\) 2.87473 3.55693i 0.110079 0.136202i
\(683\) −32.3508 −1.23787 −0.618934 0.785443i \(-0.712435\pi\)
−0.618934 + 0.785443i \(0.712435\pi\)
\(684\) 11.9952 + 22.4232i 0.458647 + 0.857371i
\(685\) 17.0499 0.651444
\(686\) 10.2367 12.6659i 0.390837 0.483586i
\(687\) 2.78996 + 2.34106i 0.106444 + 0.0893170i
\(688\) −12.7023 13.0535i −0.484269 0.497661i
\(689\) 0.372319 0.135513i 0.0141842 0.00516263i
\(690\) 2.29750 0.448864i 0.0874644 0.0170880i
\(691\) −13.6086 + 7.85694i −0.517696 + 0.298892i −0.735992 0.676991i \(-0.763284\pi\)
0.218295 + 0.975883i \(0.429950\pi\)
\(692\) −0.686657 18.6434i −0.0261028 0.708715i
\(693\) 8.67987 + 49.2260i 0.329721 + 1.86994i
\(694\) 8.57640 24.9851i 0.325556 0.948421i
\(695\) −38.0136 21.9471i −1.44194 0.832502i
\(696\) 5.78166 3.77822i 0.219153 0.143213i
\(697\) −14.8926 17.7483i −0.564097 0.672265i
\(698\) 1.53022 9.72142i 0.0579196 0.367961i
\(699\) −1.82246 0.663319i −0.0689316 0.0250890i
\(700\) 1.54074 + 0.213540i 0.0582346 + 0.00807107i
\(701\) 3.32956 18.8829i 0.125756 0.713196i −0.855100 0.518462i \(-0.826505\pi\)
0.980856 0.194734i \(-0.0623842\pi\)
\(702\) 1.22896 + 0.679690i 0.0463840 + 0.0256532i
\(703\) 5.35431 0.566072i 0.201942 0.0213498i
\(704\) 3.68539 + 33.2332i 0.138898 + 1.25252i
\(705\) −3.18068 0.560840i −0.119791 0.0211225i
\(706\) −7.46834 + 2.87500i −0.281075 + 0.108202i
\(707\) 12.2702 33.7121i 0.461468 1.26787i
\(708\) −0.963862 0.750095i −0.0362242 0.0281903i
\(709\) −13.0269 + 10.9309i −0.489235 + 0.410517i −0.853752 0.520680i \(-0.825679\pi\)
0.364517 + 0.931197i \(0.381234\pi\)
\(710\) −42.5176 + 0.782721i −1.59566 + 0.0293750i
\(711\) 15.0623 26.0887i 0.564881 0.978403i
\(712\) −40.8030 + 9.54320i −1.52916 + 0.357647i
\(713\) 1.92197 0.338895i 0.0719784 0.0126917i
\(714\) 4.72236 2.84362i 0.176730 0.106420i
\(715\) −2.77365 4.80411i −0.103729 0.179663i
\(716\) −3.01243 0.972446i −0.112580 0.0363420i
\(717\) −0.992628 2.72722i −0.0370704 0.101850i
\(718\) 20.9120 + 24.0102i 0.780429 + 0.896053i
\(719\) 25.6259 30.5397i 0.955684 1.13894i −0.0345328 0.999404i \(-0.510994\pi\)
0.990217 0.139536i \(-0.0445612\pi\)
\(720\) −21.5639 15.5417i −0.803638 0.579205i
\(721\) 36.0852i 1.34388i
\(722\) −23.9679 12.1466i −0.891993 0.452050i
\(723\) 2.43539i 0.0905733i
\(724\) 10.0177 + 24.6591i 0.372304 + 0.916447i
\(725\) 1.03362 1.23182i 0.0383877 0.0457487i
\(726\) 1.98737 1.73093i 0.0737582 0.0642407i
\(727\) 2.73410 + 7.51188i 0.101402 + 0.278600i 0.980011 0.198941i \(-0.0637503\pi\)
−0.878609 + 0.477541i \(0.841528\pi\)
\(728\) 4.92780 4.62168i 0.182636 0.171291i
\(729\) 11.3108 + 19.5909i 0.418919 + 0.725589i
\(730\) 18.6365 + 30.9495i 0.689768 + 1.14549i
\(731\) −14.7998 + 2.60961i −0.547392 + 0.0965199i
\(732\) −1.32459 + 1.19725i −0.0489584 + 0.0442518i
\(733\) 14.5869 25.2652i 0.538779 0.933193i −0.460191 0.887820i \(-0.652219\pi\)
0.998970 0.0453728i \(-0.0144476\pi\)
\(734\) 0.783656 + 42.5684i 0.0289253 + 1.57123i
\(735\) 4.93100 4.13760i 0.181883 0.152618i
\(736\) −8.12833 + 11.7271i −0.299614 + 0.432267i
\(737\) −20.1436 + 55.3440i −0.741998 + 2.03862i
\(738\) 10.4040 + 27.0262i 0.382975 + 0.994847i
\(739\) 18.2045 + 3.20994i 0.669663 + 0.118080i 0.498135 0.867100i \(-0.334019\pi\)
0.171528 + 0.985179i \(0.445130\pi\)
\(740\) −4.76698 + 2.99140i −0.175238 + 0.109966i
\(741\) −0.727500 + 0.0769132i −0.0267254 + 0.00282548i
\(742\) −1.90836 + 3.45053i −0.0700581 + 0.126673i
\(743\) 1.20332 6.82439i 0.0441457 0.250363i −0.954746 0.297421i \(-0.903874\pi\)
0.998892 + 0.0470583i \(0.0149847\pi\)
\(744\) 0.504556 + 0.377951i 0.0184979 + 0.0138564i
\(745\) −4.36969 1.59044i −0.160093 0.0582690i
\(746\) 24.2248 + 3.81314i 0.886931 + 0.139609i
\(747\) 2.80197 + 3.33926i 0.102519 + 0.122177i
\(748\) 24.3840 + 12.9056i 0.891569 + 0.471876i
\(749\) 1.79484 + 1.03625i 0.0655819 + 0.0378637i
\(750\) −4.22247 1.44941i −0.154183 0.0529249i
\(751\) 1.76031 + 9.98320i 0.0642345 + 0.364292i 0.999934 + 0.0114939i \(0.00365869\pi\)
−0.935699 + 0.352798i \(0.885230\pi\)
\(752\) 16.2785 11.0706i 0.593616 0.403703i
\(753\) −2.12744 + 1.22828i −0.0775283 + 0.0447610i
\(754\) −1.33920 6.85466i −0.0487707 0.249632i
\(755\) 20.5908 7.49442i 0.749374 0.272750i
\(756\) −13.6654 + 2.93194i −0.497007 + 0.106634i
\(757\) −15.0952 12.6664i −0.548646 0.460368i 0.325836 0.945426i \(-0.394354\pi\)
−0.874482 + 0.485058i \(0.838799\pi\)
\(758\) 14.3140 + 11.5686i 0.519907 + 0.420192i
\(759\) 3.03697 0.110235
\(760\) 28.0834 + 0.392627i 1.01869 + 0.0142421i
\(761\) 19.6304 0.711603 0.355801 0.934562i \(-0.384208\pi\)
0.355801 + 0.934562i \(0.384208\pi\)
\(762\) 2.84853 + 2.30220i 0.103191 + 0.0833999i
\(763\) 19.6430 + 16.4825i 0.711126 + 0.596706i
\(764\) −24.7964 + 5.32010i −0.897102 + 0.192475i
\(765\) −20.6092 + 7.50113i −0.745126 + 0.271204i
\(766\) −7.77775 39.8103i −0.281021 1.43840i
\(767\) −1.06959 + 0.617527i −0.0386206 + 0.0222976i
\(768\) −4.55921 + 0.676275i −0.164516 + 0.0244030i
\(769\) −6.67065 37.8311i −0.240550 1.36423i −0.830605 0.556863i \(-0.812005\pi\)
0.590055 0.807363i \(-0.299106\pi\)
\(770\) 52.2159 + 17.9237i 1.88173 + 0.645924i
\(771\) 0.684677 + 0.395298i 0.0246580 + 0.0142363i
\(772\) −38.8288 20.5507i −1.39748 0.739637i
\(773\)