Properties

Label 546.2.ch.a.305.12
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.ch (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.12
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(0.863822 - 1.50127i) q^{3} +1.00000i q^{4} +(0.852470 - 3.18146i) q^{5} +(-1.67237 + 0.450743i) q^{6} +(2.55679 - 0.680305i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.50762 - 2.59366i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(0.863822 - 1.50127i) q^{3} +1.00000i q^{4} +(0.852470 - 3.18146i) q^{5} +(-1.67237 + 0.450743i) q^{6} +(2.55679 - 0.680305i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.50762 - 2.59366i) q^{9} +(-2.85242 + 1.64685i) q^{10} +(-4.19511 - 1.12408i) q^{11} +(1.50127 + 0.863822i) q^{12} +(-3.59872 + 0.221835i) q^{13} +(-2.28897 - 1.32688i) q^{14} +(-4.03985 - 4.02801i) q^{15} -1.00000 q^{16} +5.29539 q^{17} +(-0.767945 + 2.90004i) q^{18} +(1.57626 + 5.88267i) q^{19} +(3.18146 + 0.852470i) q^{20} +(1.18729 - 4.42610i) q^{21} +(2.17155 + 3.76124i) q^{22} +8.97313 q^{23} +(-0.450743 - 1.67237i) q^{24} +(-5.06487 - 2.92420i) q^{25} +(2.70154 + 2.38782i) q^{26} +(-5.19610 + 0.0228855i) q^{27} +(0.680305 + 2.55679i) q^{28} +(-2.35873 - 1.36181i) q^{29} +(0.00837533 + 5.70483i) q^{30} +(-0.298174 - 1.11280i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-5.31138 + 5.32699i) q^{33} +(-3.74441 - 3.74441i) q^{34} +(0.0152231 - 8.71427i) q^{35} +(2.59366 - 1.50762i) q^{36} +(1.48834 + 1.48834i) q^{37} +(3.04509 - 5.27425i) q^{38} +(-2.77562 + 5.59428i) q^{39} +(-1.64685 - 2.85242i) q^{40} +(-8.93434 + 2.39395i) q^{41} +(-3.96927 + 2.29018i) q^{42} +(-2.42543 + 1.40032i) q^{43} +(1.12408 - 4.19511i) q^{44} +(-9.53683 + 2.58542i) q^{45} +(-6.34496 - 6.34496i) q^{46} +(-4.19035 - 1.12280i) q^{47} +(-0.863822 + 1.50127i) q^{48} +(6.07437 - 3.47880i) q^{49} +(1.51368 + 5.64912i) q^{50} +(4.57428 - 7.94981i) q^{51} +(-0.221835 - 3.59872i) q^{52} +(4.94841 + 2.85697i) q^{53} +(3.69038 + 3.65802i) q^{54} +(-7.15242 + 12.3884i) q^{55} +(1.32688 - 2.28897i) q^{56} +(10.1931 + 2.71519i) q^{57} +(0.704925 + 2.63082i) q^{58} +(0.571327 - 0.571327i) q^{59} +(4.02801 - 4.03985i) q^{60} +(1.18591 - 2.05406i) q^{61} +(-0.576029 + 0.997711i) q^{62} +(-5.61916 - 5.60581i) q^{63} -1.00000i q^{64} +(-2.36204 + 11.6383i) q^{65} +(7.52246 - 0.0110438i) q^{66} +(9.45859 + 2.53442i) q^{67} +5.29539i q^{68} +(7.75119 - 13.4711i) q^{69} +(-6.17269 + 6.15116i) q^{70} +(2.23789 - 8.35193i) q^{71} +(-2.90004 - 0.767945i) q^{72} +(-1.45899 + 0.390935i) q^{73} -2.10482i q^{74} +(-8.76516 + 5.07774i) q^{75} +(-5.88267 + 1.57626i) q^{76} +(-11.4907 - 0.0200734i) q^{77} +(5.91841 - 1.99309i) q^{78} +(-0.257500 - 0.446002i) q^{79} +(-0.852470 + 3.18146i) q^{80} +(-4.45415 + 7.82052i) q^{81} +(8.01031 + 4.62476i) q^{82} +(-4.56024 - 4.56024i) q^{83} +(4.42610 + 1.18729i) q^{84} +(4.51416 - 16.8471i) q^{85} +(2.70522 + 0.724860i) q^{86} +(-4.08197 + 2.36472i) q^{87} +(-3.76124 + 2.17155i) q^{88} +(1.56283 - 1.56283i) q^{89} +(8.57173 + 4.91539i) q^{90} +(-9.05026 + 3.01542i) q^{91} +8.97313i q^{92} +(-1.92819 - 0.513623i) q^{93} +(2.16909 + 3.75697i) q^{94} +20.0592 q^{95} +(1.67237 - 0.450743i) q^{96} +(2.82483 + 0.756910i) q^{97} +(-6.75511 - 1.83535i) q^{98} +(3.40917 + 12.5754i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) 0.863822 1.50127i 0.498728 0.866759i
\(4\) 1.00000i 0.500000i
\(5\) 0.852470 3.18146i 0.381236 1.42279i −0.462779 0.886474i \(-0.653148\pi\)
0.844015 0.536319i \(-0.180186\pi\)
\(6\) −1.67237 + 0.450743i −0.682743 + 0.184015i
\(7\) 2.55679 0.680305i 0.966376 0.257131i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.50762 2.59366i −0.502541 0.864554i
\(10\) −2.85242 + 1.64685i −0.902015 + 0.520778i
\(11\) −4.19511 1.12408i −1.26487 0.338922i −0.436809 0.899554i \(-0.643892\pi\)
−0.828065 + 0.560632i \(0.810558\pi\)
\(12\) 1.50127 + 0.863822i 0.433379 + 0.249364i
\(13\) −3.59872 + 0.221835i −0.998105 + 0.0615260i
\(14\) −2.28897 1.32688i −0.611754 0.354623i
\(15\) −4.03985 4.02801i −1.04308 1.04003i
\(16\) −1.00000 −0.250000
\(17\) 5.29539 1.28432 0.642161 0.766570i \(-0.278038\pi\)
0.642161 + 0.766570i \(0.278038\pi\)
\(18\) −0.767945 + 2.90004i −0.181006 + 0.683547i
\(19\) 1.57626 + 5.88267i 0.361618 + 1.34958i 0.871948 + 0.489598i \(0.162856\pi\)
−0.510330 + 0.859978i \(0.670477\pi\)
\(20\) 3.18146 + 0.852470i 0.711396 + 0.190618i
\(21\) 1.18729 4.42610i 0.259088 0.965854i
\(22\) 2.17155 + 3.76124i 0.462976 + 0.801898i
\(23\) 8.97313 1.87103 0.935513 0.353292i \(-0.114938\pi\)
0.935513 + 0.353292i \(0.114938\pi\)
\(24\) −0.450743 1.67237i −0.0920076 0.341372i
\(25\) −5.06487 2.92420i −1.01297 0.584840i
\(26\) 2.70154 + 2.38782i 0.529816 + 0.468290i
\(27\) −5.19610 + 0.0228855i −0.999990 + 0.00440432i
\(28\) 0.680305 + 2.55679i 0.128566 + 0.483188i
\(29\) −2.35873 1.36181i −0.438004 0.252882i 0.264746 0.964318i \(-0.414712\pi\)
−0.702751 + 0.711436i \(0.748045\pi\)
\(30\) 0.00837533 + 5.70483i 0.00152912 + 1.04156i
\(31\) −0.298174 1.11280i −0.0535537 0.199865i 0.933966 0.357363i \(-0.116324\pi\)
−0.987519 + 0.157498i \(0.949657\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −5.31138 + 5.32699i −0.924592 + 0.927311i
\(34\) −3.74441 3.74441i −0.642161 0.642161i
\(35\) 0.0152231 8.71427i 0.00257318 1.47298i
\(36\) 2.59366 1.50762i 0.432277 0.251270i
\(37\) 1.48834 + 1.48834i 0.244681 + 0.244681i 0.818783 0.574103i \(-0.194649\pi\)
−0.574103 + 0.818783i \(0.694649\pi\)
\(38\) 3.04509 5.27425i 0.493979 0.855597i
\(39\) −2.77562 + 5.59428i −0.444455 + 0.895801i
\(40\) −1.64685 2.85242i −0.260389 0.451007i
\(41\) −8.93434 + 2.39395i −1.39531 + 0.373872i −0.876658 0.481113i \(-0.840233\pi\)
−0.518652 + 0.854986i \(0.673566\pi\)
\(42\) −3.96927 + 2.29018i −0.612471 + 0.353383i
\(43\) −2.42543 + 1.40032i −0.369875 + 0.213547i −0.673404 0.739275i \(-0.735168\pi\)
0.303529 + 0.952822i \(0.401835\pi\)
\(44\) 1.12408 4.19511i 0.169461 0.632437i
\(45\) −9.53683 + 2.58542i −1.42167 + 0.385412i
\(46\) −6.34496 6.34496i −0.935513 0.935513i
\(47\) −4.19035 1.12280i −0.611226 0.163778i −0.0600900 0.998193i \(-0.519139\pi\)
−0.551136 + 0.834415i \(0.685805\pi\)
\(48\) −0.863822 + 1.50127i −0.124682 + 0.216690i
\(49\) 6.07437 3.47880i 0.867767 0.496971i
\(50\) 1.51368 + 5.64912i 0.214066 + 0.798907i
\(51\) 4.57428 7.94981i 0.640527 1.11320i
\(52\) −0.221835 3.59872i −0.0307630 0.499053i
\(53\) 4.94841 + 2.85697i 0.679717 + 0.392435i 0.799748 0.600335i \(-0.204966\pi\)
−0.120032 + 0.992770i \(0.538300\pi\)
\(54\) 3.69038 + 3.65802i 0.502197 + 0.497793i
\(55\) −7.15242 + 12.3884i −0.964432 + 1.67044i
\(56\) 1.32688 2.28897i 0.177311 0.305877i
\(57\) 10.1931 + 2.71519i 1.35011 + 0.359636i
\(58\) 0.704925 + 2.63082i 0.0925612 + 0.345443i
\(59\) 0.571327 0.571327i 0.0743805 0.0743805i −0.668938 0.743318i \(-0.733251\pi\)
0.743318 + 0.668938i \(0.233251\pi\)
\(60\) 4.02801 4.03985i 0.520013 0.521542i
\(61\) 1.18591 2.05406i 0.151840 0.262995i −0.780064 0.625700i \(-0.784813\pi\)
0.931904 + 0.362705i \(0.118147\pi\)
\(62\) −0.576029 + 0.997711i −0.0731557 + 0.126709i
\(63\) −5.61916 5.60581i −0.707947 0.706265i
\(64\) 1.00000i 0.125000i
\(65\) −2.36204 + 11.6383i −0.292975 + 1.44355i
\(66\) 7.52246 0.0110438i 0.925951 0.00135940i
\(67\) 9.45859 + 2.53442i 1.15555 + 0.309629i 0.785188 0.619258i \(-0.212566\pi\)
0.370364 + 0.928887i \(0.379233\pi\)
\(68\) 5.29539i 0.642161i
\(69\) 7.75119 13.4711i 0.933133 1.62173i
\(70\) −6.17269 + 6.15116i −0.737777 + 0.735204i
\(71\) 2.23789 8.35193i 0.265589 0.991192i −0.696300 0.717751i \(-0.745171\pi\)
0.961889 0.273441i \(-0.0881618\pi\)
\(72\) −2.90004 0.767945i −0.341774 0.0905032i
\(73\) −1.45899 + 0.390935i −0.170762 + 0.0457555i −0.343187 0.939267i \(-0.611506\pi\)
0.172425 + 0.985023i \(0.444840\pi\)
\(74\) 2.10482i 0.244681i
\(75\) −8.76516 + 5.07774i −1.01211 + 0.586327i
\(76\) −5.88267 + 1.57626i −0.674788 + 0.180809i
\(77\) −11.4907 0.0200734i −1.30949 0.00228758i
\(78\) 5.91841 1.99309i 0.670128 0.225673i
\(79\) −0.257500 0.446002i −0.0289710 0.0501792i 0.851176 0.524880i \(-0.175890\pi\)
−0.880147 + 0.474701i \(0.842556\pi\)
\(80\) −0.852470 + 3.18146i −0.0953090 + 0.355698i
\(81\) −4.45415 + 7.82052i −0.494906 + 0.868947i
\(82\) 8.01031 + 4.62476i 0.884591 + 0.510719i
\(83\) −4.56024 4.56024i −0.500551 0.500551i 0.411058 0.911609i \(-0.365159\pi\)
−0.911609 + 0.411058i \(0.865159\pi\)
\(84\) 4.42610 + 1.18729i 0.482927 + 0.129544i
\(85\) 4.51416 16.8471i 0.489630 1.82732i
\(86\) 2.70522 + 0.724860i 0.291711 + 0.0781637i
\(87\) −4.08197 + 2.36472i −0.437633 + 0.253525i
\(88\) −3.76124 + 2.17155i −0.400949 + 0.231488i
\(89\) 1.56283 1.56283i 0.165660 0.165660i −0.619409 0.785069i \(-0.712628\pi\)
0.785069 + 0.619409i \(0.212628\pi\)
\(90\) 8.57173 + 4.91539i 0.903540 + 0.518128i
\(91\) −9.05026 + 3.01542i −0.948725 + 0.316101i
\(92\) 8.97313i 0.935513i
\(93\) −1.92819 0.513623i −0.199943 0.0532602i
\(94\) 2.16909 + 3.75697i 0.223724 + 0.387502i
\(95\) 20.0592 2.05803
\(96\) 1.67237 0.450743i 0.170686 0.0460038i
\(97\) 2.82483 + 0.756910i 0.286818 + 0.0768525i 0.399359 0.916794i \(-0.369233\pi\)
−0.112542 + 0.993647i \(0.535899\pi\)
\(98\) −6.75511 1.83535i −0.682369 0.185398i
\(99\) 3.40917 + 12.5754i 0.342635 + 1.26387i
\(100\) 2.92420 5.06487i 0.292420 0.506487i
\(101\) 4.83780 + 8.37932i 0.481379 + 0.833774i 0.999772 0.0213693i \(-0.00680258\pi\)
−0.518392 + 0.855143i \(0.673469\pi\)
\(102\) −8.85587 + 2.38686i −0.876862 + 0.236335i
\(103\) 10.7642 6.21469i 1.06062 0.612351i 0.135019 0.990843i \(-0.456891\pi\)
0.925605 + 0.378492i \(0.123557\pi\)
\(104\) −2.38782 + 2.70154i −0.234145 + 0.264908i
\(105\) −13.0693 7.55044i −1.27544 0.736847i
\(106\) −1.47888 5.51924i −0.143641 0.536076i
\(107\) 7.39350i 0.714757i −0.933960 0.357378i \(-0.883671\pi\)
0.933960 0.357378i \(-0.116329\pi\)
\(108\) −0.0228855 5.19610i −0.00220216 0.499995i
\(109\) −1.10760 4.13363i −0.106089 0.395930i 0.892377 0.451290i \(-0.149036\pi\)
−0.998466 + 0.0553599i \(0.982369\pi\)
\(110\) 13.8174 3.70236i 1.31744 0.353007i
\(111\) 3.52005 0.948736i 0.334108 0.0900500i
\(112\) −2.55679 + 0.680305i −0.241594 + 0.0642828i
\(113\) −2.49592 + 1.44102i −0.234797 + 0.135560i −0.612783 0.790251i \(-0.709950\pi\)
0.377986 + 0.925811i \(0.376617\pi\)
\(114\) −5.28766 9.12752i −0.495235 0.854871i
\(115\) 7.64932 28.5477i 0.713303 2.66208i
\(116\) 1.36181 2.35873i 0.126441 0.219002i
\(117\) 6.00088 + 8.99942i 0.554781 + 0.831996i
\(118\) −0.807979 −0.0743805
\(119\) 13.5392 3.60248i 1.24114 0.330239i
\(120\) −5.70483 + 0.00837533i −0.520778 + 0.000764560i
\(121\) 6.80915 + 3.93126i 0.619014 + 0.357388i
\(122\) −2.29100 + 0.613873i −0.207418 + 0.0555774i
\(123\) −4.12372 + 15.4808i −0.371823 + 1.39586i
\(124\) 1.11280 0.298174i 0.0999325 0.0267768i
\(125\) −1.97592 + 1.97592i −0.176732 + 0.176732i
\(126\) 0.00943979 + 7.93725i 0.000840963 + 0.707106i
\(127\) 8.22861 + 4.75079i 0.730171 + 0.421565i 0.818485 0.574528i \(-0.194814\pi\)
−0.0883135 + 0.996093i \(0.528148\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 0.00712159 + 4.85085i 0.000627021 + 0.427094i
\(130\) 9.89974 6.55930i 0.868264 0.575289i
\(131\) 4.69605 2.71126i 0.410295 0.236884i −0.280621 0.959819i \(-0.590540\pi\)
0.690917 + 0.722934i \(0.257207\pi\)
\(132\) −5.32699 5.31138i −0.463655 0.462296i
\(133\) 8.03217 + 13.9684i 0.696477 + 1.21122i
\(134\) −4.89613 8.48034i −0.422961 0.732590i
\(135\) −4.35671 + 16.5507i −0.374966 + 1.42446i
\(136\) 3.74441 3.74441i 0.321080 0.321080i
\(137\) 1.66912 1.66912i 0.142602 0.142602i −0.632202 0.774804i \(-0.717849\pi\)
0.774804 + 0.632202i \(0.217849\pi\)
\(138\) −15.0064 + 4.04458i −1.27743 + 0.344297i
\(139\) 6.99492 + 12.1156i 0.593302 + 1.02763i 0.993784 + 0.111324i \(0.0355092\pi\)
−0.400483 + 0.916304i \(0.631157\pi\)
\(140\) 8.71427 + 0.0152231i 0.736491 + 0.00128659i
\(141\) −5.30535 + 5.32095i −0.446791 + 0.448105i
\(142\) −7.48814 + 4.32328i −0.628391 + 0.362802i
\(143\) 15.3464 + 3.11462i 1.28333 + 0.260457i
\(144\) 1.50762 + 2.59366i 0.125635 + 0.216138i
\(145\) −6.34329 + 6.34329i −0.526782 + 0.526782i
\(146\) 1.30809 + 0.755228i 0.108259 + 0.0625031i
\(147\) 0.0245606 12.1243i 0.00202573 0.999998i
\(148\) −1.48834 + 1.48834i −0.122340 + 0.122340i
\(149\) −18.3242 + 4.90995i −1.50118 + 0.402239i −0.913493 0.406853i \(-0.866626\pi\)
−0.587682 + 0.809092i \(0.699959\pi\)
\(150\) 9.78841 + 2.60740i 0.799220 + 0.212893i
\(151\) 2.63524 0.706111i 0.214453 0.0574625i −0.149993 0.988687i \(-0.547925\pi\)
0.364446 + 0.931225i \(0.381258\pi\)
\(152\) 5.27425 + 3.04509i 0.427799 + 0.246990i
\(153\) −7.98345 13.7345i −0.645424 1.11036i
\(154\) 8.11099 + 8.13938i 0.653602 + 0.655890i
\(155\) −3.79452 −0.304783
\(156\) −5.59428 2.77562i −0.447901 0.222228i
\(157\) 1.70045 2.94527i 0.135711 0.235058i −0.790158 0.612903i \(-0.790001\pi\)
0.925869 + 0.377845i \(0.123335\pi\)
\(158\) −0.133292 + 0.497451i −0.0106041 + 0.0395751i
\(159\) 8.56363 4.96099i 0.679140 0.393432i
\(160\) 2.85242 1.64685i 0.225504 0.130195i
\(161\) 22.9424 6.10447i 1.80812 0.481099i
\(162\) 8.67950 2.38038i 0.681926 0.187020i
\(163\) 24.4839 6.56044i 1.91773 0.513853i 0.927621 0.373522i \(-0.121850\pi\)
0.990105 0.140331i \(-0.0448168\pi\)
\(164\) −2.39395 8.93434i −0.186936 0.697655i
\(165\) 12.4198 + 21.4390i 0.966883 + 1.66903i
\(166\) 6.44915i 0.500551i
\(167\) −1.41135 5.26722i −0.109213 0.407590i 0.889576 0.456788i \(-0.151000\pi\)
−0.998789 + 0.0491979i \(0.984334\pi\)
\(168\) −2.29018 3.96927i −0.176691 0.306235i
\(169\) 12.9016 1.59665i 0.992429 0.122819i
\(170\) −15.1047 + 8.72070i −1.15848 + 0.668847i
\(171\) 12.8812 12.9571i 0.985053 0.990855i
\(172\) −1.40032 2.42543i −0.106774 0.184937i
\(173\) −6.88988 + 11.9336i −0.523828 + 0.907297i 0.475787 + 0.879560i \(0.342163\pi\)
−0.999615 + 0.0277364i \(0.991170\pi\)
\(174\) 4.55850 + 1.21428i 0.345579 + 0.0920540i
\(175\) −14.9392 4.03092i −1.12929 0.304709i
\(176\) 4.19511 + 1.12408i 0.316219 + 0.0847305i
\(177\) −0.364191 1.35124i −0.0273743 0.101566i
\(178\) −2.21018 −0.165660
\(179\) −4.44678 7.70206i −0.332368 0.575679i 0.650607 0.759414i \(-0.274514\pi\)
−0.982976 + 0.183736i \(0.941181\pi\)
\(180\) −2.58542 9.53683i −0.192706 0.710834i
\(181\) 20.2657i 1.50634i 0.657826 + 0.753170i \(0.271476\pi\)
−0.657826 + 0.753170i \(0.728524\pi\)
\(182\) 8.53172 + 4.26728i 0.632413 + 0.316312i
\(183\) −2.05928 3.55471i −0.152226 0.262772i
\(184\) 6.34496 6.34496i 0.467757 0.467757i
\(185\) 6.00384 3.46632i 0.441411 0.254849i
\(186\) 1.00025 + 1.72662i 0.0733416 + 0.126602i
\(187\) −22.2148 5.95243i −1.62451 0.435285i
\(188\) 1.12280 4.19035i 0.0818888 0.305613i
\(189\) −13.2698 + 3.59345i −0.965235 + 0.261385i
\(190\) −14.1840 14.1840i −1.02901 1.02901i
\(191\) 13.9580 + 8.05867i 1.00997 + 0.583105i 0.911182 0.412004i \(-0.135171\pi\)
0.0987856 + 0.995109i \(0.468504\pi\)
\(192\) −1.50127 0.863822i −0.108345 0.0623410i
\(193\) −5.88842 + 21.9759i −0.423857 + 1.58186i 0.342548 + 0.939500i \(0.388710\pi\)
−0.766405 + 0.642357i \(0.777957\pi\)
\(194\) −1.46224 2.53267i −0.104983 0.181835i
\(195\) 15.4318 + 13.5995i 1.10510 + 0.973879i
\(196\) 3.47880 + 6.07437i 0.248486 + 0.433884i
\(197\) −24.8603 + 6.66131i −1.77123 + 0.474598i −0.988939 0.148321i \(-0.952613\pi\)
−0.782286 + 0.622919i \(0.785947\pi\)
\(198\) 6.48149 11.3028i 0.460620 0.803254i
\(199\) 16.6668i 1.18148i −0.806863 0.590739i \(-0.798836\pi\)
0.806863 0.590739i \(-0.201164\pi\)
\(200\) −5.64912 + 1.51368i −0.399453 + 0.107033i
\(201\) 11.9754 12.0106i 0.844679 0.847163i
\(202\) 2.50423 9.34592i 0.176197 0.657577i
\(203\) −6.95722 1.87721i −0.488301 0.131755i
\(204\) 7.94981 + 4.57428i 0.556598 + 0.320264i
\(205\) 30.4650i 2.12777i
\(206\) −12.0059 3.21696i −0.836487 0.224136i
\(207\) −13.5281 23.2732i −0.940267 1.61760i
\(208\) 3.59872 0.221835i 0.249526 0.0153815i
\(209\) 26.4503i 1.82960i
\(210\) 3.90244 + 14.5804i 0.269294 + 1.00614i
\(211\) −4.52546 + 7.83833i −0.311546 + 0.539613i −0.978697 0.205309i \(-0.934180\pi\)
0.667152 + 0.744922i \(0.267513\pi\)
\(212\) −2.85697 + 4.94841i −0.196217 + 0.339858i
\(213\) −10.6054 10.5743i −0.726668 0.724537i
\(214\) −5.22799 + 5.22799i −0.357378 + 0.357378i
\(215\) 2.38747 + 8.91014i 0.162824 + 0.607667i
\(216\) −3.65802 + 3.69038i −0.248896 + 0.251099i
\(217\) −1.51941 2.64235i −0.103145 0.179375i
\(218\) −2.13973 + 3.70611i −0.144921 + 0.251010i
\(219\) −0.673408 + 2.52803i −0.0455047 + 0.170829i
\(220\) −12.3884 7.15242i −0.835222 0.482216i
\(221\) −19.0566 + 1.17470i −1.28189 + 0.0790192i
\(222\) −3.15991 1.81819i −0.212079 0.122029i
\(223\) 2.18761 + 8.16427i 0.146493 + 0.546720i 0.999684 + 0.0251219i \(0.00799738\pi\)
−0.853191 + 0.521598i \(0.825336\pi\)
\(224\) 2.28897 + 1.32688i 0.152938 + 0.0886557i
\(225\) 0.0515165 + 17.5451i 0.00343444 + 1.16968i
\(226\) 2.78384 + 0.745928i 0.185178 + 0.0496184i
\(227\) −16.8243 16.8243i −1.11667 1.11667i −0.992227 0.124442i \(-0.960286\pi\)
−0.124442 0.992227i \(-0.539714\pi\)
\(228\) −2.71519 + 10.1931i −0.179818 + 0.675053i
\(229\) 6.11927 22.8374i 0.404373 1.50914i −0.400836 0.916150i \(-0.631280\pi\)
0.805209 0.592991i \(-0.202053\pi\)
\(230\) −25.5951 + 14.7774i −1.68769 + 0.974390i
\(231\) −9.95610 + 17.2334i −0.655063 + 1.13387i
\(232\) −2.63082 + 0.704925i −0.172722 + 0.0462806i
\(233\) 14.1393 + 24.4900i 0.926298 + 1.60440i 0.789460 + 0.613802i \(0.210361\pi\)
0.136838 + 0.990593i \(0.456306\pi\)
\(234\) 2.12029 10.6068i 0.138608 0.693389i
\(235\) −7.14430 + 12.3743i −0.466043 + 0.807210i
\(236\) 0.571327 + 0.571327i 0.0371902 + 0.0371902i
\(237\) −0.892004 + 0.00130956i −0.0579419 + 8.50651e-5i
\(238\) −12.1210 7.02633i −0.785689 0.455449i
\(239\) 12.9200 + 12.9200i 0.835723 + 0.835723i 0.988293 0.152569i \(-0.0487548\pi\)
−0.152569 + 0.988293i \(0.548755\pi\)
\(240\) 4.03985 + 4.02801i 0.260771 + 0.260007i
\(241\) −12.3866 12.3866i −0.797893 0.797893i 0.184870 0.982763i \(-0.440814\pi\)
−0.982763 + 0.184870i \(0.940814\pi\)
\(242\) −2.03497 7.59462i −0.130813 0.488201i
\(243\) 7.89312 + 13.4424i 0.506344 + 0.862332i
\(244\) 2.05406 + 1.18591i 0.131498 + 0.0759202i
\(245\) −5.88945 22.2909i −0.376263 1.42412i
\(246\) 13.8625 8.03067i 0.883840 0.512017i
\(247\) −6.97749 20.8204i −0.443967 1.32477i
\(248\) −0.997711 0.576029i −0.0633547 0.0365779i
\(249\) −10.7854 + 2.90691i −0.683496 + 0.184218i
\(250\) 2.79438 0.176732
\(251\) 7.38589 + 12.7927i 0.466193 + 0.807471i 0.999255 0.0386062i \(-0.0122918\pi\)
−0.533061 + 0.846077i \(0.678958\pi\)
\(252\) 5.60581 5.61916i 0.353133 0.353974i
\(253\) −37.6433 10.0865i −2.36661 0.634132i
\(254\) −2.45919 9.17783i −0.154303 0.575868i
\(255\) −21.3926 21.3299i −1.33966 1.33573i
\(256\) 1.00000 0.0625000
\(257\) −12.6694 −0.790293 −0.395147 0.918618i \(-0.629306\pi\)
−0.395147 + 0.918618i \(0.629306\pi\)
\(258\) 3.42504 3.43511i 0.213233 0.213860i
\(259\) 4.81789 + 2.79284i 0.299369 + 0.173539i
\(260\) −11.6383 2.36204i −0.721777 0.146488i
\(261\) 0.0239914 + 8.17083i 0.00148503 + 0.505762i
\(262\) −5.23776 1.40345i −0.323590 0.0867056i
\(263\) 0.824649 0.476112i 0.0508501 0.0293583i −0.474359 0.880331i \(-0.657320\pi\)
0.525210 + 0.850973i \(0.323987\pi\)
\(264\) 0.0110438 + 7.52246i 0.000679700 + 0.462976i
\(265\) 13.3077 13.3077i 0.817486 0.817486i
\(266\) 4.19756 15.5568i 0.257369 0.953846i
\(267\) −0.996222 3.69624i −0.0609678 0.226206i
\(268\) −2.53442 + 9.45859i −0.154815 + 0.577776i
\(269\) 23.2305i 1.41639i 0.706018 + 0.708194i \(0.250490\pi\)
−0.706018 + 0.708194i \(0.749510\pi\)
\(270\) 14.7838 8.62246i 0.899712 0.524746i
\(271\) 19.0789 + 19.0789i 1.15896 + 1.15896i 0.984700 + 0.174259i \(0.0557530\pi\)
0.174259 + 0.984700i \(0.444247\pi\)
\(272\) −5.29539 −0.321080
\(273\) −3.29087 + 16.1917i −0.199172 + 0.979964i
\(274\) −2.36049 −0.142602
\(275\) 17.9607 + 17.9607i 1.08307 + 1.08307i
\(276\) 13.4711 + 7.75119i 0.810864 + 0.466567i
\(277\) 17.7920i 1.06902i −0.845163 0.534508i \(-0.820497\pi\)
0.845163 0.534508i \(-0.179503\pi\)
\(278\) 3.62084 13.5132i 0.217163 0.810465i
\(279\) −2.43670 + 2.45105i −0.145881 + 0.146740i
\(280\) −6.15116 6.17269i −0.367602 0.368889i
\(281\) 17.4575 17.4575i 1.04142 1.04142i 0.0423209 0.999104i \(-0.486525\pi\)
0.999104 0.0423209i \(-0.0134752\pi\)
\(282\) 7.51393 0.0110313i 0.447448 0.000656904i
\(283\) 0.617271 0.356381i 0.0366929 0.0211847i −0.481541 0.876423i \(-0.659923\pi\)
0.518234 + 0.855239i \(0.326590\pi\)
\(284\) 8.35193 + 2.23789i 0.495596 + 0.132795i
\(285\) 17.3276 30.1143i 1.02640 1.78381i
\(286\) −8.64918 13.0539i −0.511437 0.771894i
\(287\) −21.2146 + 12.1989i −1.25226 + 0.720079i
\(288\) 0.767945 2.90004i 0.0452516 0.170887i
\(289\) 11.0412 0.649482
\(290\) 8.97077 0.526782
\(291\) 3.57647 3.58699i 0.209657 0.210273i
\(292\) −0.390935 1.45899i −0.0228777 0.0853809i
\(293\) 0.721061 + 0.193208i 0.0421248 + 0.0112873i 0.279820 0.960053i \(-0.409725\pi\)
−0.237695 + 0.971340i \(0.576392\pi\)
\(294\) −8.59056 + 8.55583i −0.501012 + 0.498986i
\(295\) −1.33062 2.30469i −0.0774715 0.134185i
\(296\) 2.10482 0.122340
\(297\) 21.8240 + 5.74481i 1.26635 + 0.333348i
\(298\) 16.4290 + 9.48529i 0.951707 + 0.549468i
\(299\) −32.2918 + 1.99055i −1.86748 + 0.115117i
\(300\) −5.07774 8.76516i −0.293163 0.506057i
\(301\) −5.24867 + 5.23037i −0.302528 + 0.301473i
\(302\) −2.36270 1.36410i −0.135958 0.0784953i
\(303\) 16.7586 0.0246035i 0.962758 0.00141344i
\(304\) −1.57626 5.88267i −0.0904045 0.337394i
\(305\) −5.52396 5.52396i −0.316301 0.316301i
\(306\) −4.06657 + 15.3569i −0.232470 + 0.877894i
\(307\) −17.3155 17.3155i −0.988246 0.988246i 0.0116856 0.999932i \(-0.496280\pi\)
−0.999932 + 0.0116856i \(0.996280\pi\)
\(308\) 0.0200734 11.4907i 0.00114379 0.654746i
\(309\) −0.0316059 21.5283i −0.00179800 1.22470i
\(310\) 2.68313 + 2.68313i 0.152392 + 0.152392i
\(311\) −6.23904 + 10.8063i −0.353784 + 0.612771i −0.986909 0.161278i \(-0.948438\pi\)
0.633125 + 0.774049i \(0.281772\pi\)
\(312\) 1.99309 + 5.91841i 0.112837 + 0.335064i
\(313\) −6.77592 11.7362i −0.382997 0.663371i 0.608492 0.793560i \(-0.291775\pi\)
−0.991489 + 0.130189i \(0.958442\pi\)
\(314\) −3.28502 + 0.880220i −0.185385 + 0.0496737i
\(315\) −22.6248 + 13.0983i −1.27476 + 0.738008i
\(316\) 0.446002 0.257500i 0.0250896 0.0144855i
\(317\) 2.84872 10.6316i 0.160000 0.597128i −0.838625 0.544709i \(-0.816640\pi\)
0.998625 0.0524189i \(-0.0166931\pi\)
\(318\) −9.56335 2.54745i −0.536286 0.142854i
\(319\) 8.36434 + 8.36434i 0.468313 + 0.468313i
\(320\) −3.18146 0.852470i −0.177849 0.0476545i
\(321\) −11.0996 6.38667i −0.619521 0.356469i
\(322\) −20.5392 11.9062i −1.14461 0.663508i
\(323\) 8.34689 + 31.1510i 0.464434 + 1.73329i
\(324\) −7.82052 4.45415i −0.434473 0.247453i
\(325\) 18.8757 + 9.39982i 1.04704 + 0.521408i
\(326\) −21.9517 12.6738i −1.21579 0.701936i
\(327\) −7.16247 1.90791i −0.396085 0.105508i
\(328\) −4.62476 + 8.01031i −0.255359 + 0.442296i
\(329\) −11.4777 0.0200507i −0.632787 0.00110543i
\(330\) 6.37754 23.9418i 0.351072 1.31796i
\(331\) 0.971726 + 3.62653i 0.0534109 + 0.199332i 0.987476 0.157772i \(-0.0504310\pi\)
−0.934065 + 0.357104i \(0.883764\pi\)
\(332\) 4.56024 4.56024i 0.250276 0.250276i
\(333\) 1.61639 6.10408i 0.0885776 0.334502i
\(334\) −2.72652 + 4.72246i −0.149188 + 0.258402i
\(335\) 16.1263 27.9316i 0.881076 1.52607i
\(336\) −1.18729 + 4.42610i −0.0647721 + 0.241463i
\(337\) 10.9390i 0.595886i −0.954584 0.297943i \(-0.903699\pi\)
0.954584 0.297943i \(-0.0963006\pi\)
\(338\) −10.2518 7.99379i −0.557624 0.434805i
\(339\) 0.00732858 + 4.99184i 0.000398034 + 0.271120i
\(340\) 16.8471 + 4.51416i 0.913662 + 0.244815i
\(341\) 5.00350i 0.270955i
\(342\) −18.2705 + 0.0536463i −0.987954 + 0.00290086i
\(343\) 13.1643 13.0270i 0.710803 0.703391i
\(344\) −0.724860 + 2.70522i −0.0390818 + 0.145855i
\(345\) −36.2501 36.1438i −1.95164 1.94592i
\(346\) 13.3102 3.56647i 0.715562 0.191734i
\(347\) 15.2251i 0.817326i −0.912685 0.408663i \(-0.865995\pi\)
0.912685 0.408663i \(-0.134005\pi\)
\(348\) −2.36472 4.08197i −0.126762 0.218816i
\(349\) −24.1050 + 6.45893i −1.29031 + 0.345738i −0.837779 0.546009i \(-0.816146\pi\)
−0.452534 + 0.891747i \(0.649480\pi\)
\(350\) 7.71329 + 13.4139i 0.412293 + 0.717001i
\(351\) 18.6942 1.23504i 0.997825 0.0659214i
\(352\) −2.17155 3.76124i −0.115744 0.200475i
\(353\) −0.159758 + 0.596226i −0.00850308 + 0.0317339i −0.970047 0.242917i \(-0.921896\pi\)
0.961544 + 0.274651i \(0.0885623\pi\)
\(354\) −0.697950 + 1.21299i −0.0370956 + 0.0644699i
\(355\) −24.6636 14.2395i −1.30901 0.755757i
\(356\) 1.56283 + 1.56283i 0.0828298 + 0.0828298i
\(357\) 6.28718 23.4379i 0.332753 1.24047i
\(358\) −2.30182 + 8.59053i −0.121655 + 0.454023i
\(359\) 28.9994 + 7.77036i 1.53053 + 0.410104i 0.923192 0.384340i \(-0.125571\pi\)
0.607338 + 0.794444i \(0.292237\pi\)
\(360\) −4.91539 + 8.57173i −0.259064 + 0.451770i
\(361\) −15.6667 + 9.04518i −0.824563 + 0.476062i
\(362\) 14.3300 14.3300i 0.753170 0.753170i
\(363\) 11.7838 6.82646i 0.618488 0.358296i
\(364\) −3.01542 9.05026i −0.158051 0.474363i
\(365\) 4.97498i 0.260402i
\(366\) −1.05743 + 3.96969i −0.0552729 + 0.207499i
\(367\) 7.68648 + 13.3134i 0.401231 + 0.694953i 0.993875 0.110512i \(-0.0352491\pi\)
−0.592644 + 0.805465i \(0.701916\pi\)
\(368\) −8.97313 −0.467757
\(369\) 19.6787 + 19.5635i 1.02443 + 1.01843i
\(370\) −6.69642 1.79430i −0.348130 0.0932812i
\(371\) 14.5957 + 3.93824i 0.757770 + 0.204463i
\(372\) 0.513623 1.92819i 0.0266301 0.0999717i
\(373\) −16.8782 + 29.2339i −0.873920 + 1.51367i −0.0160117 + 0.999872i \(0.505097\pi\)
−0.857909 + 0.513802i \(0.828236\pi\)
\(374\) 11.4992 + 19.9172i 0.594610 + 1.02990i
\(375\) 1.25955 + 4.67324i 0.0650427 + 0.241325i
\(376\) −3.75697 + 2.16909i −0.193751 + 0.111862i
\(377\) 8.79049 + 4.37753i 0.452733 + 0.225454i
\(378\) 11.9241 + 6.84220i 0.613310 + 0.351925i
\(379\) 1.64709 + 6.14703i 0.0846054 + 0.315752i 0.995239 0.0974627i \(-0.0310727\pi\)
−0.910634 + 0.413214i \(0.864406\pi\)
\(380\) 20.0592i 1.02901i
\(381\) 14.2403 8.24953i 0.729552 0.422636i
\(382\) −4.17148 15.5682i −0.213431 0.796537i
\(383\) −29.9559 + 8.02667i −1.53068 + 0.410144i −0.923240 0.384224i \(-0.874469\pi\)
−0.607437 + 0.794368i \(0.707802\pi\)
\(384\) 0.450743 + 1.67237i 0.0230019 + 0.0853429i
\(385\) −9.85938 + 36.5403i −0.502481 + 1.86226i
\(386\) 19.7030 11.3755i 1.00286 0.579000i
\(387\) 7.28859 + 4.17958i 0.370500 + 0.212460i
\(388\) −0.756910 + 2.82483i −0.0384263 + 0.143409i
\(389\) −1.09893 + 1.90340i −0.0557178 + 0.0965061i −0.892539 0.450970i \(-0.851078\pi\)
0.836821 + 0.547476i \(0.184411\pi\)
\(390\) −1.29567 20.5282i −0.0656090 1.03949i
\(391\) 47.5162 2.40300
\(392\) 1.83535 6.75511i 0.0926990 0.341185i
\(393\) −0.0137886 9.39208i −0.000695544 0.473768i
\(394\) 22.2892 + 12.8687i 1.12291 + 0.648314i
\(395\) −1.63845 + 0.439021i −0.0824394 + 0.0220896i
\(396\) −12.5754 + 3.40917i −0.631937 + 0.171317i
\(397\) −14.2330 + 3.81371i −0.714332 + 0.191405i −0.597641 0.801763i \(-0.703895\pi\)
−0.116691 + 0.993168i \(0.537229\pi\)
\(398\) −11.7852 + 11.7852i −0.590739 + 0.590739i
\(399\) 27.9087 + 0.00778119i 1.39718 + 0.000389547i
\(400\) 5.06487 + 2.92420i 0.253243 + 0.146210i
\(401\) 1.28469 1.28469i 0.0641543 0.0641543i −0.674302 0.738456i \(-0.735555\pi\)
0.738456 + 0.674302i \(0.235555\pi\)
\(402\) −16.9607 + 0.0249002i −0.845921 + 0.00124191i
\(403\) 1.31990 + 3.93852i 0.0657491 + 0.196191i
\(404\) −8.37932 + 4.83780i −0.416887 + 0.240690i
\(405\) 21.0837 + 20.8375i 1.04766 + 1.03542i
\(406\) 3.59211 + 6.24689i 0.178273 + 0.310028i
\(407\) −4.57073 7.91674i −0.226563 0.392418i
\(408\) −2.38686 8.85587i −0.118167 0.438431i
\(409\) −17.5826 + 17.5826i −0.869403 + 0.869403i −0.992406 0.123003i \(-0.960747\pi\)
0.123003 + 0.992406i \(0.460747\pi\)
\(410\) 21.5420 21.5420i 1.06389 1.06389i
\(411\) −1.06397 3.94761i −0.0524819 0.194721i
\(412\) 6.21469 + 10.7642i 0.306176 + 0.530312i
\(413\) 1.07209 1.84944i 0.0527540 0.0910051i
\(414\) −6.89087 + 26.0225i −0.338668 + 1.27893i
\(415\) −18.3957 + 10.6208i −0.903009 + 0.521352i
\(416\) −2.70154 2.38782i −0.132454 0.117072i
\(417\) 24.2311 0.0355740i 1.18660 0.00174206i
\(418\) −18.7032 + 18.7032i −0.914802 + 0.914802i
\(419\) −20.7478 11.9787i −1.01359 0.585199i −0.101352 0.994851i \(-0.532317\pi\)
−0.912242 + 0.409651i \(0.865650\pi\)
\(420\) 7.55044 13.0693i 0.368424 0.637718i
\(421\) −21.1259 + 21.1259i −1.02961 + 1.02961i −0.0300645 + 0.999548i \(0.509571\pi\)
−0.999548 + 0.0300645i \(0.990429\pi\)
\(422\) 8.74252 2.34255i 0.425579 0.114034i
\(423\) 3.40530 + 12.5611i 0.165571 + 0.610742i
\(424\) 5.51924 1.47888i 0.268038 0.0718205i
\(425\) −26.8205 15.4848i −1.30098 0.751123i
\(426\) 0.0219868 + 14.9763i 0.00106527 + 0.725602i
\(427\) 1.63474 6.05858i 0.0791107 0.293195i
\(428\) 7.39350 0.357378
\(429\) 17.9324 20.3486i 0.865787 0.982440i
\(430\) 4.61223 7.98862i 0.222421 0.385245i
\(431\) −5.66232 + 21.1321i −0.272744 + 1.01790i 0.684593 + 0.728925i \(0.259980\pi\)
−0.957338 + 0.288971i \(0.906687\pi\)
\(432\) 5.19610 0.0228855i 0.249998 0.00110108i
\(433\) −9.26511 + 5.34922i −0.445253 + 0.257067i −0.705823 0.708388i \(-0.749423\pi\)
0.260570 + 0.965455i \(0.416089\pi\)
\(434\) −0.794037 + 2.94281i −0.0381150 + 0.141260i
\(435\) 4.04352 + 15.0025i 0.193872 + 0.719314i
\(436\) 4.13363 1.10760i 0.197965 0.0530446i
\(437\) 14.1439 + 52.7859i 0.676597 + 2.52509i
\(438\) 2.26376 1.31142i 0.108167 0.0626620i
\(439\) 38.3551i 1.83059i −0.402783 0.915295i \(-0.631957\pi\)
0.402783 0.915295i \(-0.368043\pi\)
\(440\) 3.70236 + 13.8174i 0.176503 + 0.658719i
\(441\) −18.1807 10.5101i −0.865746 0.500483i
\(442\) 14.3057 + 12.6444i 0.680454 + 0.601435i
\(443\) 7.07201 4.08302i 0.336001 0.193990i −0.322501 0.946569i \(-0.604524\pi\)
0.658502 + 0.752579i \(0.271190\pi\)
\(444\) 0.948736 + 3.52005i 0.0450250 + 0.167054i
\(445\) −3.63982 6.30435i −0.172544 0.298855i
\(446\) 4.22614 7.31989i 0.200113 0.346607i
\(447\) −8.45768 + 31.7509i −0.400034 + 1.50176i
\(448\) −0.680305 2.55679i −0.0321414 0.120797i
\(449\) −1.10954 0.297299i −0.0523622 0.0140304i 0.232543 0.972586i \(-0.425295\pi\)
−0.284905 + 0.958556i \(0.591962\pi\)
\(450\) 12.3699 12.4427i 0.583121 0.586555i
\(451\) 40.1716 1.89161
\(452\) −1.44102 2.49592i −0.0677800 0.117398i
\(453\) 1.21632 4.56617i 0.0571476 0.214537i
\(454\) 23.7932i 1.11667i
\(455\) 1.87835 + 31.3636i 0.0880583 + 1.47035i
\(456\) 9.12752 5.28766i 0.427435 0.247617i
\(457\) 0.359340 0.359340i 0.0168092 0.0168092i −0.698652 0.715461i \(-0.746217\pi\)
0.715461 + 0.698652i \(0.246217\pi\)
\(458\) −20.4755 + 11.8215i −0.956757 + 0.552384i
\(459\) −27.5154 + 0.121188i −1.28431 + 0.00565656i
\(460\) 28.5477 + 7.64932i 1.33104 + 0.356651i
\(461\) −4.16267 + 15.5353i −0.193875 + 0.723551i 0.798680 + 0.601755i \(0.205532\pi\)
−0.992555 + 0.121795i \(0.961135\pi\)
\(462\) 19.2259 5.14581i 0.894468 0.239405i
\(463\) 12.3374 + 12.3374i 0.573369 + 0.573369i 0.933068 0.359699i \(-0.117121\pi\)
−0.359699 + 0.933068i \(0.617121\pi\)
\(464\) 2.35873 + 1.36181i 0.109501 + 0.0632205i
\(465\) −3.27779 + 5.69660i −0.152004 + 0.264173i
\(466\) 7.31905 27.3151i 0.339049 1.26535i
\(467\) −15.5029 26.8517i −0.717387 1.24255i −0.962032 0.272938i \(-0.912005\pi\)
0.244645 0.969613i \(-0.421329\pi\)
\(468\) −8.99942 + 6.00088i −0.415998 + 0.277391i
\(469\) 25.9078 + 0.0452589i 1.19631 + 0.00208986i
\(470\) 13.8017 3.69816i 0.636627 0.170584i
\(471\) −2.95276 5.09703i −0.136056 0.234859i
\(472\) 0.807979i 0.0371902i
\(473\) 11.7490 3.14814i 0.540221 0.144752i
\(474\) 0.631668 + 0.629816i 0.0290135 + 0.0289284i
\(475\) 9.21858 34.4042i 0.422977 1.57857i
\(476\) 3.60248 + 13.5392i 0.165120 + 0.620569i
\(477\) −0.0503321 17.1417i −0.00230455 0.784866i
\(478\) 18.2716i 0.835723i
\(479\) −20.7236 5.55286i −0.946883 0.253717i −0.247844 0.968800i \(-0.579722\pi\)
−0.699039 + 0.715083i \(0.746389\pi\)
\(480\) −0.00837533 5.70483i −0.000382280 0.260389i
\(481\) −5.68627 5.02594i −0.259271 0.229163i
\(482\) 17.5173i 0.797893i
\(483\) 10.6537 39.7159i 0.484761 1.80714i
\(484\) −3.93126 + 6.80915i −0.178694 + 0.309507i
\(485\) 4.81616 8.34183i 0.218690 0.378783i
\(486\) 3.92395 15.0865i 0.177994 0.684338i
\(487\) −15.1480 + 15.1480i −0.686420 + 0.686420i −0.961439 0.275019i \(-0.911316\pi\)
0.275019 + 0.961439i \(0.411316\pi\)
\(488\) −0.613873 2.29100i −0.0277887 0.103709i
\(489\) 11.3007 42.4240i 0.511037 1.91848i
\(490\) −11.5976 + 19.9265i −0.523927 + 0.900190i
\(491\) −0.269785 + 0.467281i −0.0121752 + 0.0210881i −0.872049 0.489419i \(-0.837209\pi\)
0.859874 + 0.510507i \(0.170542\pi\)
\(492\) −15.4808 4.12372i −0.697929 0.185912i
\(493\) −12.4904 7.21133i −0.562539 0.324782i
\(494\) −9.78842 + 19.6561i −0.440402 + 0.884369i
\(495\) 42.9143 0.126006i 1.92886 0.00566356i
\(496\) 0.298174 + 1.11280i 0.0133884 + 0.0499663i
\(497\) 0.0399636 22.8766i 0.00179261 1.02616i
\(498\) 9.68192 + 5.57092i 0.433857 + 0.249639i
\(499\) 20.1500 + 5.39917i 0.902036 + 0.241700i 0.679891 0.733314i \(-0.262027\pi\)
0.222146 + 0.975013i \(0.428694\pi\)
\(500\) −1.97592 1.97592i −0.0883660 0.0883660i
\(501\) −9.12668 2.43113i −0.407750 0.108615i
\(502\) 3.82322 14.2684i 0.170639 0.636832i
\(503\) −28.8447 + 16.6535i −1.28612 + 0.742542i −0.977960 0.208792i \(-0.933047\pi\)
−0.308161 + 0.951334i \(0.599714\pi\)
\(504\) −7.93725 + 0.00943979i −0.353553 + 0.000420482i
\(505\) 30.7826 8.24817i 1.36981 0.367039i
\(506\) 19.4856 + 33.7500i 0.866241 + 1.50037i
\(507\) 8.74768 20.7480i 0.388498 0.921450i
\(508\) −4.75079 + 8.22861i −0.210782 + 0.365086i
\(509\) 16.6251 + 16.6251i 0.736895 + 0.736895i 0.971976 0.235081i \(-0.0755354\pi\)
−0.235081 + 0.971976i \(0.575535\pi\)
\(510\) 0.0443507 + 30.2093i 0.00196388 + 1.33769i
\(511\) −3.46438 + 1.99210i −0.153255 + 0.0881252i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −8.32501 30.5309i −0.367558 1.34797i
\(514\) 8.95859 + 8.95859i 0.395147 + 0.395147i
\(515\) −10.5957 39.5436i −0.466901 1.74250i
\(516\) −4.85085 + 0.00712159i −0.213547 + 0.000313511i
\(517\) 16.3169 + 9.42056i 0.717616 + 0.414316i
\(518\) −1.43192 5.38160i −0.0629151 0.236454i
\(519\) 11.9640 + 20.6521i 0.525159 + 0.906527i
\(520\) 6.55930 + 9.89974i 0.287645 + 0.434132i
\(521\) −23.1952 13.3918i −1.01620 0.586705i −0.103201 0.994661i \(-0.532908\pi\)
−0.913002 + 0.407956i \(0.866242\pi\)
\(522\) 5.76069 5.79462i 0.252138 0.253623i
\(523\) 30.5791 1.33713 0.668566 0.743653i \(-0.266908\pi\)
0.668566 + 0.743653i \(0.266908\pi\)
\(524\) 2.71126 + 4.69605i 0.118442 + 0.205148i
\(525\) −18.9563 + 18.9457i −0.827320 + 0.826858i
\(526\) −0.919777 0.246453i −0.0401042 0.0107459i
\(527\) −1.57895 5.89272i −0.0687802 0.256691i
\(528\) 5.31138 5.32699i 0.231148 0.231828i
\(529\) 57.5170 2.50074
\(530\) −18.8199 −0.817486
\(531\) −2.34317 0.620483i −0.101685 0.0269267i
\(532\) −13.9684 + 8.03217i −0.605608 + 0.348239i
\(533\) 31.6211 10.5971i 1.36966 0.459012i
\(534\) −1.90920 + 3.31807i −0.0826191 + 0.143587i
\(535\) −23.5221 6.30274i −1.01695 0.272491i
\(536\) 8.48034 4.89613i 0.366295 0.211481i
\(537\) −15.4041 + 0.0226149i −0.664736 + 0.000975906i
\(538\) 16.4264 16.4264i 0.708194 0.708194i
\(539\) −29.3931 + 7.76589i −1.26605 + 0.334501i
\(540\) −16.5507 4.35671i −0.712229 0.187483i
\(541\) 4.33430 16.1758i 0.186346 0.695454i −0.807992 0.589193i \(-0.799446\pi\)
0.994338 0.106260i \(-0.0338877\pi\)
\(542\) 26.9816i 1.15896i
\(543\) 30.4243 + 17.5060i 1.30563 + 0.751254i
\(544\) 3.74441 + 3.74441i 0.160540 + 0.160540i
\(545\) −14.0952 −0.603772
\(546\) 13.7762 9.12224i 0.589568 0.390396i
\(547\) −9.21981 −0.394210 −0.197105 0.980382i \(-0.563154\pi\)
−0.197105 + 0.980382i \(0.563154\pi\)
\(548\) 1.66912 + 1.66912i 0.0713011 + 0.0713011i
\(549\) −7.11544 + 0.0208926i −0.303679 + 0.000891673i
\(550\) 25.4002i 1.08307i
\(551\) 4.29313 16.0222i 0.182893 0.682567i
\(552\) −4.04458 15.0064i −0.172149 0.638715i
\(553\) −0.961791 0.965157i −0.0408995 0.0410427i
\(554\) −12.5808 + 12.5808i −0.534508 + 0.534508i
\(555\) −0.0176286 12.0077i −0.000748292 0.509697i
\(556\) −12.1156 + 6.99492i −0.513814 + 0.296651i
\(557\) 16.7620 + 4.49136i 0.710227 + 0.190305i 0.595807 0.803128i \(-0.296832\pi\)
0.114420 + 0.993432i \(0.463499\pi\)
\(558\) 3.45616 0.0101481i 0.146311 0.000429602i
\(559\) 8.41780 5.57741i 0.356035 0.235899i
\(560\) −0.0152231 + 8.71427i −0.000643295 + 0.368245i
\(561\) −28.1258 + 28.2085i −1.18747 + 1.19096i
\(562\) −24.6886 −1.04142
\(563\) 4.16812 0.175665 0.0878327 0.996135i \(-0.472006\pi\)
0.0878327 + 0.996135i \(0.472006\pi\)
\(564\) −5.32095 5.30535i −0.224052 0.223396i
\(565\) 2.45686 + 9.16911i 0.103361 + 0.385748i
\(566\) −0.688476 0.184477i −0.0289388 0.00775413i
\(567\) −6.06800 + 23.0256i −0.254832 + 0.966985i
\(568\) −4.32328 7.48814i −0.181401 0.314195i
\(569\) −33.3010 −1.39605 −0.698025 0.716073i \(-0.745938\pi\)
−0.698025 + 0.716073i \(0.745938\pi\)
\(570\) −33.5464 + 9.04155i −1.40511 + 0.378709i
\(571\) −9.65851 5.57634i −0.404196 0.233363i 0.284097 0.958796i \(-0.408306\pi\)
−0.688293 + 0.725433i \(0.741640\pi\)
\(572\) −3.11462 + 15.3464i −0.130229 + 0.641665i
\(573\) 24.1555 13.9935i 1.00911 0.584587i
\(574\) 23.6270 + 6.37508i 0.986170 + 0.266091i
\(575\) −45.4477 26.2392i −1.89530 1.09425i
\(576\) −2.59366 + 1.50762i −0.108069 + 0.0628176i
\(577\) −2.15277 8.03426i −0.0896211 0.334470i 0.906528 0.422146i \(-0.138723\pi\)
−0.996149 + 0.0876752i \(0.972056\pi\)
\(578\) −7.80730 7.80730i −0.324741 0.324741i
\(579\) 27.9052 + 27.8233i 1.15970 + 1.15630i
\(580\) −6.34329 6.34329i −0.263391 0.263391i
\(581\) −14.7619 8.55723i −0.612428 0.355014i
\(582\) −5.06533 + 0.00743647i −0.209965 + 0.000308252i
\(583\) −17.5477 17.5477i −0.726752 0.726752i
\(584\) −0.755228 + 1.30809i −0.0312516 + 0.0541293i
\(585\) 33.7469 11.4198i 1.39526 0.472152i
\(586\) −0.373249 0.646486i −0.0154188 0.0267061i
\(587\) 7.42137 1.98855i 0.306313 0.0820762i −0.102389 0.994744i \(-0.532648\pi\)
0.408701 + 0.912668i \(0.365982\pi\)
\(588\) 12.1243 + 0.0245606i 0.499999 + 0.00101286i
\(589\) 6.07624 3.50812i 0.250367 0.144550i
\(590\) −0.688778 + 2.57055i −0.0283565 + 0.105828i
\(591\) −11.4745 + 43.0763i −0.471998 + 1.77192i
\(592\) −1.48834 1.48834i −0.0611702 0.0611702i
\(593\) 23.6622 + 6.34027i 0.971690 + 0.260364i 0.709541 0.704664i \(-0.248902\pi\)
0.262149 + 0.965027i \(0.415569\pi\)
\(594\) −11.3697 19.4941i −0.466503 0.799851i
\(595\) 0.0806125 46.1455i 0.00330479 1.89178i
\(596\) −4.90995 18.3242i −0.201119 0.750588i
\(597\) −25.0214 14.3971i −1.02406 0.589236i
\(598\) 24.2413 + 21.4262i 0.991299 + 0.876182i
\(599\) 36.9189 + 21.3151i 1.50846 + 0.870913i 0.999951 + 0.00985856i \(0.00313813\pi\)
0.508513 + 0.861054i \(0.330195\pi\)
\(600\) −2.60740 + 9.78841i −0.106447 + 0.399610i
\(601\) 15.8340 27.4254i 0.645884 1.11870i −0.338213 0.941070i \(-0.609822\pi\)
0.984097 0.177634i \(-0.0568443\pi\)
\(602\) 7.40980 + 0.0129443i 0.302001 + 0.000527571i
\(603\) −7.68655 28.3533i −0.313021 1.15464i
\(604\) 0.706111 + 2.63524i 0.0287313 + 0.107227i
\(605\) 18.3118 18.3118i 0.744479 0.744479i
\(606\) −11.8675 11.8327i −0.482086 0.480672i
\(607\) −14.9467 + 25.8884i −0.606668 + 1.05078i 0.385118 + 0.922867i \(0.374161\pi\)
−0.991786 + 0.127912i \(0.959172\pi\)
\(608\) −3.04509 + 5.27425i −0.123495 + 0.213899i
\(609\) −8.82801 + 8.82308i −0.357729 + 0.357529i
\(610\) 7.81205i 0.316301i
\(611\) 15.3290 + 3.11108i 0.620145 + 0.125861i
\(612\) 13.7345 7.98345i 0.555182 0.322712i
\(613\) 6.84784 + 1.83487i 0.276582 + 0.0741098i 0.394444 0.918920i \(-0.370937\pi\)
−0.117862 + 0.993030i \(0.537604\pi\)
\(614\) 24.4878i 0.988246i
\(615\) 45.7363 + 26.3164i 1.84426 + 1.06118i
\(616\) −8.13938 + 8.11099i −0.327945 + 0.326801i
\(617\) −1.58171 + 5.90302i −0.0636772 + 0.237647i −0.990428 0.138030i \(-0.955923\pi\)
0.926751 + 0.375677i \(0.122590\pi\)
\(618\) −15.2004 + 15.2451i −0.611452 + 0.613250i
\(619\) −17.8860 + 4.79255i −0.718900 + 0.192629i −0.599681 0.800239i \(-0.704706\pi\)
−0.119219 + 0.992868i \(0.538039\pi\)
\(620\) 3.79452i 0.152392i
\(621\) −46.6253 + 0.205355i −1.87101 + 0.00824059i
\(622\) 12.0529 3.22956i 0.483277 0.129494i
\(623\) 2.93263 5.05903i 0.117493 0.202686i
\(624\) 2.77562 5.59428i 0.111114 0.223950i
\(625\) −10.0191 17.3536i −0.400764 0.694144i
\(626\) −3.50747 + 13.0901i −0.140187 + 0.523184i
\(627\) −39.7090 22.8484i −1.58583 0.912475i
\(628\) 2.94527 + 1.70045i 0.117529 + 0.0678555i
\(629\) 7.88132 + 7.88132i 0.314249 + 0.314249i
\(630\) 25.2601 + 6.73623i 1.00639 + 0.268378i
\(631\) −7.50820 + 28.0210i −0.298897 + 1.11550i 0.639176 + 0.769060i \(0.279275\pi\)
−0.938073 + 0.346438i \(0.887391\pi\)
\(632\) −0.497451 0.133292i −0.0197875 0.00530206i
\(633\) 7.85825 + 13.5649i 0.312338 + 0.539155i
\(634\) −9.53199 + 5.50330i −0.378564 + 0.218564i
\(635\) 22.1291 22.1291i 0.878167 0.878167i
\(636\) 4.96099 + 8.56363i 0.196716 + 0.339570i
\(637\) −21.0882 + 13.8667i −0.835546 + 0.549420i
\(638\) 11.8290i 0.468313i
\(639\) −25.0360 + 6.78722i −0.990408 + 0.268498i
\(640\) 1.64685 + 2.85242i 0.0650973 + 0.112752i
\(641\) −9.87085 −0.389875 −0.194938 0.980816i \(-0.562450\pi\)
−0.194938 + 0.980816i \(0.562450\pi\)
\(642\) 3.33257 + 12.3647i 0.131526 + 0.487995i
\(643\) −32.4863 8.70468i −1.28114 0.343279i −0.446848 0.894610i \(-0.647454\pi\)
−0.834287 + 0.551331i \(0.814120\pi\)
\(644\) 6.10447 + 22.9424i 0.240550 + 0.904058i
\(645\) 15.4389 + 4.11255i 0.607905 + 0.161932i
\(646\) 16.1250 27.9293i 0.634428 1.09886i
\(647\) 3.41124 + 5.90844i 0.134110 + 0.232285i 0.925257 0.379341i \(-0.123849\pi\)
−0.791147 + 0.611626i \(0.790516\pi\)
\(648\) 2.38038 + 8.67950i 0.0935102 + 0.340963i
\(649\) −3.03900 + 1.75457i −0.119291 + 0.0688728i
\(650\) −6.70048 19.9938i −0.262814 0.784223i
\(651\) −5.27939 0.00147194i −0.206916 5.76898e-5i
\(652\) 6.56044 + 24.4839i 0.256927 + 0.958863i
\(653\) 32.9646i 1.29000i 0.764181 + 0.645001i \(0.223143\pi\)
−0.764181 + 0.645001i \(0.776857\pi\)
\(654\) 3.71553 + 6.41373i 0.145289 + 0.250797i
\(655\) −4.62254 17.2516i −0.180618 0.674074i
\(656\) 8.93434 2.39395i 0.348828 0.0934681i
\(657\) 3.21356 + 3.19474i 0.125373 + 0.124639i
\(658\) 8.10179 + 8.13015i 0.315841 + 0.316946i
\(659\) −19.5631 + 11.2948i −0.762072 + 0.439982i −0.830039 0.557705i \(-0.811682\pi\)
0.0679673 + 0.997688i \(0.478349\pi\)
\(660\) −21.4390 + 12.4198i −0.834514 + 0.483442i
\(661\) −2.91222 + 10.8686i −0.113272 + 0.422738i −0.999152 0.0411773i \(-0.986889\pi\)
0.885880 + 0.463915i \(0.153556\pi\)
\(662\) 1.87723 3.25146i 0.0729606 0.126371i
\(663\) −14.6980 + 29.6239i −0.570823 + 1.15050i
\(664\) −6.44915 −0.250276
\(665\) 51.2872 13.6464i 1.98883 0.529184i
\(666\) −5.45920 + 3.17328i −0.211540 + 0.122962i
\(667\) −21.1652 12.2197i −0.819518 0.473149i
\(668\) 5.26722 1.41135i 0.203795 0.0546067i
\(669\) 14.1465 + 3.76829i 0.546935 + 0.145690i
\(670\) −31.1537 + 8.34761i −1.20357 + 0.322496i
\(671\) −7.28395 + 7.28395i −0.281194 + 0.281194i
\(672\) 3.96927 2.29018i 0.153118 0.0883457i
\(673\) 12.2810 + 7.09042i 0.473396 + 0.273315i 0.717660 0.696393i \(-0.245213\pi\)
−0.244264 + 0.969709i \(0.578546\pi\)
\(674\) −7.73506 + 7.73506i −0.297943 + 0.297943i
\(675\) 26.3845 + 15.0785i 1.01554 + 0.580373i
\(676\) 1.59665 + 12.9016i 0.0614094 + 0.496215i
\(677\) 17.7006 10.2195i 0.680291 0.392766i −0.119674 0.992813i \(-0.538185\pi\)
0.799965 + 0.600047i \(0.204852\pi\)
\(678\) 3.52458 3.53495i 0.135361 0.135759i
\(679\) 7.73742 + 0.0135167i 0.296935 + 0.000518722i
\(680\) −8.72070 15.1047i −0.334423 0.579238i
\(681\) −39.7911 + 10.7246i −1.52480 + 0.410968i
\(682\) 3.53801 3.53801i 0.135477 0.135477i
\(683\) −5.99503 + 5.99503i −0.229394 + 0.229394i −0.812439 0.583046i \(-0.801861\pi\)
0.583046 + 0.812439i \(0.301861\pi\)
\(684\) 12.9571 + 12.8812i 0.495428 + 0.492527i
\(685\) −3.88736 6.73310i −0.148528 0.257258i
\(686\) −18.5200 0.0970597i −0.707097 0.00370576i
\(687\) −28.9992 28.9142i −1.10639 1.10314i
\(688\) 2.42543 1.40032i 0.0924686 0.0533868i
\(689\) −18.4417 9.18370i −0.702574 0.349871i
\(690\) 0.0751529 + 51.1902i 0.00286102 + 1.94878i
\(691\) 5.47799 5.47799i 0.208392 0.208392i −0.595191 0.803584i \(-0.702924\pi\)
0.803584 + 0.595191i \(0.202924\pi\)
\(692\) −11.9336 6.88988i −0.453648 0.261914i
\(693\) 17.2716 + 29.8334i 0.656095 + 1.13328i
\(694\) −10.7658 + 10.7658i −0.408663 + 0.408663i
\(695\) 44.5082 11.9259i 1.68829 0.452376i
\(696\) −1.21428 + 4.55850i −0.0460270 + 0.172789i
\(697\) −47.3109 + 12.6769i −1.79203 + 0.480172i
\(698\) 21.6120 + 12.4777i 0.818026 + 0.472287i
\(699\) 48.9800 0.0719081i 1.85259 0.00271981i
\(700\) 4.03092 14.9392i 0.152354 0.564647i
\(701\) 27.6757 1.04530 0.522649 0.852548i \(-0.324944\pi\)
0.522649 + 0.852548i \(0.324944\pi\)
\(702\) −14.0921 12.3455i −0.531873 0.465952i
\(703\) −6.40938 + 11.1014i −0.241734 + 0.418696i
\(704\) −1.12408 + 4.19511i −0.0423653 + 0.158109i
\(705\) 12.4057 + 21.4147i 0.467228 + 0.806525i
\(706\) 0.534562 0.308629i 0.0201185 0.0116154i
\(707\) 18.0698 + 18.1330i 0.679583 + 0.681962i
\(708\) 1.35124 0.364191i 0.0507828 0.0136871i
\(709\) 9.06615 2.42927i 0.340486 0.0912331i −0.0845242 0.996421i \(-0.526937\pi\)
0.425011 + 0.905188i \(0.360270\pi\)
\(710\) 7.37093 + 27.5087i 0.276626 + 1.03238i
\(711\) −0.768567 + 1.34027i −0.0288235 + 0.0502640i
\(712\) 2.21018i 0.0828298i
\(713\) −2.67556 9.98531i −0.100200 0.373953i
\(714\) −21.0188 + 12.1274i −0.786610 + 0.453857i
\(715\) 22.9914 46.1689i 0.859829 1.72662i
\(716\) 7.70206 4.44678i 0.287839 0.166184i
\(717\) 30.5569 8.23580i 1.14117 0.307572i
\(718\) −15.0112 26.0001i −0.560213 0.970317i
\(719\) 9.11577 15.7890i 0.339961 0.588829i −0.644464 0.764634i \(-0.722920\pi\)
0.984425 + 0.175805i \(0.0562529\pi\)
\(720\) 9.53683 2.58542i 0.355417 0.0963530i
\(721\) 23.2938 23.2126i 0.867507 0.864481i
\(722\) 17.4739 + 4.68213i 0.650313 + 0.174251i
\(723\) −29.2955 + 7.89583i −1.08951 + 0.293649i
\(724\) −20.2657 −0.753170
\(725\) 7.96442 + 13.7948i 0.295791 + 0.512325i
\(726\) −13.1594 3.50536i −0.488392 0.130096i
\(727\) 2.16371i 0.0802476i −0.999195 0.0401238i \(-0.987225\pi\)
0.999195 0.0401238i \(-0.0127752\pi\)
\(728\) −4.26728 + 8.53172i −0.158156 + 0.316207i
\(729\) 26.9990 0.237831i 0.999961 0.00880855i
\(730\) 3.51784 3.51784i 0.130201 0.130201i
\(731\) −12.8436 + 7.41526i −0.475038 + 0.274263i
\(732\) 3.55471 2.05928i 0.131386 0.0761132i
\(733\) 12.5511 + 3.36306i 0.463586 + 0.124218i 0.483050 0.875593i \(-0.339529\pi\)
−0.0194633 + 0.999811i \(0.506196\pi\)
\(734\) 3.97882 14.8491i 0.146861 0.548092i
\(735\) −38.5522 10.4138i −1.42202 0.384118i
\(736\) 6.34496 + 6.34496i 0.233878 + 0.233878i
\(737\) −36.8310 21.2644i −1.35669 0.783284i
\(738\) −0.0814757 27.7484i −0.00299916 1.02143i
\(739\) −12.4554 + 46.4840i −0.458178 + 1.70994i 0.220396 + 0.975410i \(0.429265\pi\)
−0.678574 + 0.734532i \(0.737402\pi\)
\(740\) 3.46632 + 6.00384i 0.127424 + 0.220706i
\(741\) −37.2844 7.51004i −1.36967 0.275888i
\(742\) −7.53594 13.1055i −0.276653 0.481116i
\(743\) −3.84387 + 1.02996i −0.141018 + 0.0377857i −0.328638 0.944456i \(-0.606589\pi\)
0.187620 + 0.982242i \(0.439923\pi\)
\(744\) −1.72662 + 1.00025i −0.0633009 + 0.0366708i
\(745\) 62.4833i 2.28921i
\(746\) 32.6062 8.73680i 1.19380 0.319877i
\(747\) −4.95260 + 18.7028i −0.181206 + 0.684301i
\(748\) 5.95243 22.2148i 0.217642 0.812253i
\(749\) −5.02984 18.9036i −0.183786 0.690724i
\(750\) 2.41385 4.19511i 0.0881412 0.153184i
\(751\) 13.8056i 0.503772i −0.967757 0.251886i \(-0.918949\pi\)
0.967757 0.251886i \(-0.0810508\pi\)
\(752\) 4.19035 + 1.12280i 0.152806 + 0.0409444i
\(753\) 25.5855 0.0375623i 0.932386 0.00136885i
\(754\) −3.12044 9.31120i −0.113640 0.339094i
\(755\) 8.98587i 0.327029i
\(756\) −3.59345 13.2698i −0.130692 0.482617i
\(757\) −12.0187 + 20.8170i −0.436826 + 0.756606i −0.997443 0.0714701i \(-0.977231\pi\)
0.560616 + 0.828076i \(0.310564\pi\)
\(758\) 3.18194 5.51128i 0.115573 0.200179i
\(759\) −47.6597 + 47.7998i −1.72994 + 1.73502i
\(760\) 14.1840 14.1840i 0.514507 0.514507i
\(761\) 2.99416 + 11.1743i 0.108538 + 0.405070i 0.998723 0.0505307i \(-0.0160913\pi\)
−0.890184 + 0.455600i \(0.849425\pi\)
\(762\) −15.9027 4.23610i −0.576094 0.153458i
\(763\) −5.64404 9.81533i −0.204328 0.355339i
\(764\) −8.05867 + 13.9580i −0.291553 + 0.504984i
\(765\) −50.5013 + 13.6908i −1.82588 + 0.494993i
\(766\) 26.8578 + 15.5063i 0.970410 + 0.560267i
\(767\) −1.92931 + 2.18279i −0.0696632 + 0.0788159i
\(768\) 0.863822 1.50127i 0.0311705 0.0541724i
\(769\) −5.93685 22.1566i −0.214088 0.798988i −0.986486 0.163848i \(-0.947609\pi\)
0.772397 0.635140i \(-0.219057\pi\)
\(770\) 32.8095 18.8662i 1.18237 0.679892i
\(771\) −10.9441 + 19.0201i −0.394141 + 0.684993i
\(772\) −21.9759 5.88842i −0.790929 0.211929i
\(773\) −1.41642 1.41642i −0.0509449 0.0509449i 0.681175 0.732120i \(-0.261469\pi\)
−0.732120 + 0.681175i \(0.761469\pi\)