Properties

Label 605.2.g.f.81.2
Level $605$
Weight $2$
Character 605.81
Analytic conductor $4.831$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.g (of order \(5\), degree \(4\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.64000000.2
Defining polynomial: \( x^{8} + 2x^{6} + 4x^{4} + 8x^{2} + 16 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: no (minimal twist has level 55)
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 81.2
Root \(-0.437016 - 1.34500i\) of defining polynomial
Character \(\chi\) \(=\) 605.81
Dual form 605.2.g.f.366.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.335106 + 0.243469i) q^{2} +(0.874032 - 2.68999i) q^{3} +(-0.565015 - 1.73894i) q^{4} +(0.809017 - 0.587785i) q^{5} +(0.947822 - 0.688633i) q^{6} +(-0.618034 - 1.90211i) q^{7} +(0.490035 - 1.50817i) q^{8} +(-4.04508 - 2.93893i) q^{9} +O(q^{10})\) \(q+(0.335106 + 0.243469i) q^{2} +(0.874032 - 2.68999i) q^{3} +(-0.565015 - 1.73894i) q^{4} +(0.809017 - 0.587785i) q^{5} +(0.947822 - 0.688633i) q^{6} +(-0.618034 - 1.90211i) q^{7} +(0.490035 - 1.50817i) q^{8} +(-4.04508 - 2.93893i) q^{9} +0.414214 q^{10} -5.17157 q^{12} +(5.52431 + 4.01365i) q^{13} +(0.255998 - 0.787881i) q^{14} +(-0.874032 - 2.68999i) q^{15} +(-2.42705 + 1.76336i) q^{16} +(-0.947822 + 0.688633i) q^{17} +(-0.639995 - 1.96970i) q^{18} +(-1.47923 - 1.07472i) q^{20} -5.65685 q^{21} +2.82843 q^{23} +(-3.62867 - 2.63638i) q^{24} +(0.309017 - 0.951057i) q^{25} +(0.874032 + 2.68999i) q^{26} +(-4.57649 + 3.32502i) q^{27} +(-2.95846 + 2.14944i) q^{28} +(2.36610 + 7.28210i) q^{29} +(0.362036 - 1.11423i) q^{30} -4.41421 q^{32} -0.485281 q^{34} +(-1.61803 - 1.17557i) q^{35} +(-2.82508 + 8.69469i) q^{36} +(1.13003 + 3.47788i) q^{37} +(15.6251 - 11.3523i) q^{39} +(-0.490035 - 1.50817i) q^{40} +(1.85410 - 5.70634i) q^{41} +(-1.89564 - 1.37727i) q^{42} -6.00000 q^{43} -5.00000 q^{45} +(0.947822 + 0.688633i) q^{46} +(-0.874032 + 2.68999i) q^{47} +(2.62210 + 8.06998i) q^{48} +(2.42705 - 1.76336i) q^{49} +(0.335106 - 0.243469i) q^{50} +(1.02399 + 3.15152i) q^{51} +(3.85816 - 11.8742i) q^{52} +(-0.277611 - 0.201696i) q^{53} -2.34315 q^{54} -3.17157 q^{56} +(-0.980070 + 3.01635i) q^{58} +(-2.98413 - 9.18421i) q^{59} +(-4.18389 + 3.03977i) q^{60} +(-10.7710 + 7.82560i) q^{61} +(-3.09017 + 9.51057i) q^{63} +(3.37487 + 2.45199i) q^{64} +6.82843 q^{65} -4.48528 q^{67} +(1.73302 + 1.25912i) q^{68} +(2.47214 - 7.60845i) q^{69} +(-0.255998 - 0.787881i) q^{70} +(9.15298 - 6.65003i) q^{71} +(-6.41464 + 4.66051i) q^{72} +(-2.11010 - 6.49422i) q^{73} +(-0.468074 + 1.44058i) q^{74} +(-2.28825 - 1.66251i) q^{75} +8.00000 q^{78} +(-3.23607 - 2.35114i) q^{79} +(-0.927051 + 2.85317i) q^{80} +(0.309017 + 0.951057i) q^{81} +(2.01063 - 1.46081i) q^{82} +(4.85410 - 3.52671i) q^{83} +(3.19621 + 9.83692i) q^{84} +(-0.362036 + 1.11423i) q^{85} +(-2.01063 - 1.46081i) q^{86} +21.6569 q^{87} +9.31371 q^{89} +(-1.67553 - 1.21734i) q^{90} +(4.22020 - 12.9884i) q^{91} +(-1.59810 - 4.91846i) q^{92} +(-0.947822 + 0.688633i) q^{94} +(-3.85816 + 11.8742i) q^{96} +(6.19453 + 4.50059i) q^{97} +1.24264 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q - 2 q^{2} - 2 q^{4} + 2 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q - 2 q^{2} - 2 q^{4} + 2 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} - 10 q^{9} - 8 q^{10} - 64 q^{12} + 8 q^{13} + 4 q^{14} - 6 q^{16} - 8 q^{17} - 10 q^{18} + 2 q^{20} + 8 q^{24} - 2 q^{25} + 4 q^{28} - 4 q^{29} - 8 q^{30} - 24 q^{32} + 64 q^{34} - 4 q^{35} - 10 q^{36} + 4 q^{37} + 16 q^{39} + 6 q^{40} - 12 q^{41} - 16 q^{42} - 48 q^{43} - 40 q^{45} + 8 q^{46} + 6 q^{49} - 2 q^{50} + 16 q^{51} - 8 q^{52} - 12 q^{53} - 64 q^{54} - 48 q^{56} + 12 q^{58} + 8 q^{59} - 16 q^{60} - 4 q^{61} + 20 q^{63} + 14 q^{64} + 32 q^{65} + 32 q^{67} - 24 q^{68} - 16 q^{69} - 4 q^{70} - 30 q^{72} + 8 q^{73} + 20 q^{74} + 64 q^{78} - 8 q^{79} + 6 q^{80} - 2 q^{81} - 12 q^{82} + 12 q^{83} - 32 q^{84} + 8 q^{85} + 12 q^{86} + 128 q^{87} - 16 q^{89} + 10 q^{90} - 16 q^{91} + 16 q^{92} - 8 q^{94} + 8 q^{96} + 4 q^{97} - 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.335106 + 0.243469i 0.236956 + 0.172158i 0.699926 0.714215i \(-0.253216\pi\)
−0.462970 + 0.886374i \(0.653216\pi\)
\(3\) 0.874032 2.68999i 0.504623 1.55307i −0.296781 0.954945i \(-0.595913\pi\)
0.801404 0.598123i \(-0.204087\pi\)
\(4\) −0.565015 1.73894i −0.282508 0.869469i
\(5\) 0.809017 0.587785i 0.361803 0.262866i
\(6\) 0.947822 0.688633i 0.386947 0.281133i
\(7\) −0.618034 1.90211i −0.233595 0.718931i −0.997305 0.0733714i \(-0.976624\pi\)
0.763710 0.645560i \(-0.223376\pi\)
\(8\) 0.490035 1.50817i 0.173254 0.533220i
\(9\) −4.04508 2.93893i −1.34836 0.979642i
\(10\) 0.414214 0.130986
\(11\) 0 0
\(12\) −5.17157 −1.49290
\(13\) 5.52431 + 4.01365i 1.53217 + 1.11319i 0.955018 + 0.296549i \(0.0958356\pi\)
0.577151 + 0.816637i \(0.304164\pi\)
\(14\) 0.255998 0.787881i 0.0684184 0.210570i
\(15\) −0.874032 2.68999i −0.225674 0.694553i
\(16\) −2.42705 + 1.76336i −0.606763 + 0.440839i
\(17\) −0.947822 + 0.688633i −0.229881 + 0.167018i −0.696763 0.717301i \(-0.745377\pi\)
0.466882 + 0.884319i \(0.345377\pi\)
\(18\) −0.639995 1.96970i −0.150848 0.464263i
\(19\) 0 0 −0.951057 0.309017i \(-0.900000\pi\)
0.951057 + 0.309017i \(0.100000\pi\)
\(20\) −1.47923 1.07472i −0.330766 0.240315i
\(21\) −5.65685 −1.23443
\(22\) 0 0
\(23\) 2.82843 0.589768 0.294884 0.955533i \(-0.404719\pi\)
0.294884 + 0.955533i \(0.404719\pi\)
\(24\) −3.62867 2.63638i −0.740699 0.538149i
\(25\) 0.309017 0.951057i 0.0618034 0.190211i
\(26\) 0.874032 + 2.68999i 0.171412 + 0.527551i
\(27\) −4.57649 + 3.32502i −0.880746 + 0.639900i
\(28\) −2.95846 + 2.14944i −0.559096 + 0.406207i
\(29\) 2.36610 + 7.28210i 0.439373 + 1.35225i 0.888538 + 0.458803i \(0.151722\pi\)
−0.449165 + 0.893449i \(0.648278\pi\)
\(30\) 0.362036 1.11423i 0.0660984 0.203430i
\(31\) 0 0 0.587785 0.809017i \(-0.300000\pi\)
−0.587785 + 0.809017i \(0.700000\pi\)
\(32\) −4.41421 −0.780330
\(33\) 0 0
\(34\) −0.485281 −0.0832251
\(35\) −1.61803 1.17557i −0.273498 0.198708i
\(36\) −2.82508 + 8.69469i −0.470846 + 1.44911i
\(37\) 1.13003 + 3.47788i 0.185776 + 0.571759i 0.999961 0.00884630i \(-0.00281590\pi\)
−0.814185 + 0.580605i \(0.802816\pi\)
\(38\) 0 0
\(39\) 15.6251 11.3523i 2.50202 1.81782i
\(40\) −0.490035 1.50817i −0.0774813 0.238463i
\(41\) 1.85410 5.70634i 0.289562 0.891180i −0.695432 0.718592i \(-0.744787\pi\)
0.984994 0.172588i \(-0.0552131\pi\)
\(42\) −1.89564 1.37727i −0.292504 0.212517i
\(43\) −6.00000 −0.914991 −0.457496 0.889212i \(-0.651253\pi\)
−0.457496 + 0.889212i \(0.651253\pi\)
\(44\) 0 0
\(45\) −5.00000 −0.745356
\(46\) 0.947822 + 0.688633i 0.139749 + 0.101533i
\(47\) −0.874032 + 2.68999i −0.127491 + 0.392376i −0.994347 0.106183i \(-0.966137\pi\)
0.866856 + 0.498559i \(0.166137\pi\)
\(48\) 2.62210 + 8.06998i 0.378467 + 1.16480i
\(49\) 2.42705 1.76336i 0.346722 0.251908i
\(50\) 0.335106 0.243469i 0.0473911 0.0344317i
\(51\) 1.02399 + 3.15152i 0.143388 + 0.441302i
\(52\) 3.85816 11.8742i 0.535031 1.64666i
\(53\) −0.277611 0.201696i −0.0381328 0.0277051i 0.568556 0.822645i \(-0.307502\pi\)
−0.606688 + 0.794940i \(0.707502\pi\)
\(54\) −2.34315 −0.318862
\(55\) 0 0
\(56\) −3.17157 −0.423819
\(57\) 0 0
\(58\) −0.980070 + 3.01635i −0.128689 + 0.396066i
\(59\) −2.98413 9.18421i −0.388501 1.19568i −0.933909 0.357512i \(-0.883625\pi\)
0.545408 0.838171i \(-0.316375\pi\)
\(60\) −4.18389 + 3.03977i −0.540138 + 0.392433i
\(61\) −10.7710 + 7.82560i −1.37909 + 1.00197i −0.382123 + 0.924112i \(0.624807\pi\)
−0.996965 + 0.0778539i \(0.975193\pi\)
\(62\) 0 0
\(63\) −3.09017 + 9.51057i −0.389325 + 1.19822i
\(64\) 3.37487 + 2.45199i 0.421859 + 0.306499i
\(65\) 6.82843 0.846962
\(66\) 0 0
\(67\) −4.48528 −0.547964 −0.273982 0.961735i \(-0.588341\pi\)
−0.273982 + 0.961735i \(0.588341\pi\)
\(68\) 1.73302 + 1.25912i 0.210160 + 0.152690i
\(69\) 2.47214 7.60845i 0.297610 0.915950i
\(70\) −0.255998 0.787881i −0.0305976 0.0941698i
\(71\) 9.15298 6.65003i 1.08626 0.789213i 0.107496 0.994206i \(-0.465717\pi\)
0.978764 + 0.204992i \(0.0657169\pi\)
\(72\) −6.41464 + 4.66051i −0.755973 + 0.549246i
\(73\) −2.11010 6.49422i −0.246969 0.760091i −0.995306 0.0967733i \(-0.969148\pi\)
0.748338 0.663318i \(-0.230852\pi\)
\(74\) −0.468074 + 1.44058i −0.0544125 + 0.167464i
\(75\) −2.28825 1.66251i −0.264224 0.191970i
\(76\) 0 0
\(77\) 0 0
\(78\) 8.00000 0.905822
\(79\) −3.23607 2.35114i −0.364086 0.264524i 0.390668 0.920532i \(-0.372244\pi\)
−0.754754 + 0.656007i \(0.772244\pi\)
\(80\) −0.927051 + 2.85317i −0.103647 + 0.318994i
\(81\) 0.309017 + 0.951057i 0.0343352 + 0.105673i
\(82\) 2.01063 1.46081i 0.222037 0.161320i
\(83\) 4.85410 3.52671i 0.532807 0.387107i −0.288600 0.957450i \(-0.593190\pi\)
0.821407 + 0.570343i \(0.193190\pi\)
\(84\) 3.19621 + 9.83692i 0.348735 + 1.07330i
\(85\) −0.362036 + 1.11423i −0.0392683 + 0.120855i
\(86\) −2.01063 1.46081i −0.216812 0.157523i
\(87\) 21.6569 2.32186
\(88\) 0 0
\(89\) 9.31371 0.987251 0.493626 0.869675i \(-0.335671\pi\)
0.493626 + 0.869675i \(0.335671\pi\)
\(90\) −1.67553 1.21734i −0.176616 0.128319i
\(91\) 4.22020 12.9884i 0.442397 1.36156i
\(92\) −1.59810 4.91846i −0.166614 0.512785i
\(93\) 0 0
\(94\) −0.947822 + 0.688633i −0.0977604 + 0.0710271i
\(95\) 0 0
\(96\) −3.85816 + 11.8742i −0.393772 + 1.21191i
\(97\) 6.19453 + 4.50059i 0.628959 + 0.456965i 0.856039 0.516911i \(-0.172918\pi\)
−0.227081 + 0.973876i \(0.572918\pi\)
\(98\) 1.24264 0.125526
\(99\) 0 0
\(100\) −1.82843 −0.182843
\(101\) 10.7710 + 7.82560i 1.07176 + 0.778676i 0.976227 0.216750i \(-0.0695457\pi\)
0.0955291 + 0.995427i \(0.469546\pi\)
\(102\) −0.424151 + 1.30540i −0.0419973 + 0.129254i
\(103\) 0.362036 + 1.11423i 0.0356725 + 0.109789i 0.967307 0.253608i \(-0.0816172\pi\)
−0.931635 + 0.363396i \(0.881617\pi\)
\(104\) 8.76038 6.36479i 0.859026 0.624119i
\(105\) −4.57649 + 3.32502i −0.446620 + 0.324488i
\(106\) −0.0439223 0.135179i −0.00426611 0.0131297i
\(107\) −1.13003 + 3.47788i −0.109244 + 0.336219i −0.990703 0.136042i \(-0.956562\pi\)
0.881459 + 0.472261i \(0.156562\pi\)
\(108\) 8.36778 + 6.07955i 0.805190 + 0.585005i
\(109\) 3.65685 0.350263 0.175132 0.984545i \(-0.443965\pi\)
0.175132 + 0.984545i \(0.443965\pi\)
\(110\) 0 0
\(111\) 10.3431 0.981728
\(112\) 4.85410 + 3.52671i 0.458670 + 0.333243i
\(113\) 2.57817 7.93480i 0.242534 0.746443i −0.753498 0.657450i \(-0.771635\pi\)
0.996032 0.0889933i \(-0.0283650\pi\)
\(114\) 0 0
\(115\) 2.28825 1.66251i 0.213380 0.155030i
\(116\) 11.3262 8.22899i 1.05161 0.764043i
\(117\) −10.5505 32.4711i −0.975394 3.00195i
\(118\) 1.23607 3.80423i 0.113789 0.350207i
\(119\) 1.89564 + 1.37727i 0.173773 + 0.126254i
\(120\) −4.48528 −0.409448
\(121\) 0 0
\(122\) −5.51472 −0.499279
\(123\) −13.7295 9.97505i −1.23794 0.899420i
\(124\) 0 0
\(125\) −0.309017 0.951057i −0.0276393 0.0850651i
\(126\) −3.35106 + 2.43469i −0.298536 + 0.216899i
\(127\) −12.6667 + 9.20287i −1.12398 + 0.816622i −0.984808 0.173645i \(-0.944445\pi\)
−0.139176 + 0.990268i \(0.544445\pi\)
\(128\) 3.26209 + 10.0397i 0.288331 + 0.887391i
\(129\) −5.24419 + 16.1400i −0.461725 + 1.42104i
\(130\) 2.28825 + 1.66251i 0.200692 + 0.145812i
\(131\) 11.3137 0.988483 0.494242 0.869325i \(-0.335446\pi\)
0.494242 + 0.869325i \(0.335446\pi\)
\(132\) 0 0
\(133\) 0 0
\(134\) −1.50304 1.09203i −0.129843 0.0943366i
\(135\) −1.74806 + 5.37999i −0.150449 + 0.463036i
\(136\) 0.574112 + 1.76693i 0.0492297 + 0.151513i
\(137\) −18.5836 + 13.5018i −1.58770 + 1.15353i −0.680573 + 0.732680i \(0.738269\pi\)
−0.907129 + 0.420853i \(0.861731\pi\)
\(138\) 2.68085 1.94775i 0.228209 0.165803i
\(139\) −1.23607 3.80423i −0.104842 0.322670i 0.884851 0.465873i \(-0.154260\pi\)
−0.989693 + 0.143203i \(0.954260\pi\)
\(140\) −1.13003 + 3.47788i −0.0955050 + 0.293934i
\(141\) 6.47214 + 4.70228i 0.545052 + 0.396004i
\(142\) 4.68629 0.393265
\(143\) 0 0
\(144\) 15.0000 1.25000
\(145\) 6.19453 + 4.50059i 0.514427 + 0.373753i
\(146\) 0.874032 2.68999i 0.0723354 0.222625i
\(147\) −2.62210 8.06998i −0.216267 0.665601i
\(148\) 5.40932 3.93010i 0.444644 0.323053i
\(149\) −9.43059 + 6.85173i −0.772584 + 0.561315i −0.902744 0.430178i \(-0.858451\pi\)
0.130160 + 0.991493i \(0.458451\pi\)
\(150\) −0.362036 1.11423i −0.0295601 0.0909767i
\(151\) −3.70820 + 11.4127i −0.301769 + 0.928751i 0.679094 + 0.734052i \(0.262373\pi\)
−0.980863 + 0.194699i \(0.937627\pi\)
\(152\) 0 0
\(153\) 5.85786 0.473580
\(154\) 0 0
\(155\) 0 0
\(156\) −28.5694 20.7569i −2.28738 1.66188i
\(157\) −4.32624 + 13.3148i −0.345271 + 1.06264i 0.616167 + 0.787616i \(0.288685\pi\)
−0.961438 + 0.275020i \(0.911315\pi\)
\(158\) −0.511996 1.57576i −0.0407322 0.125361i
\(159\) −0.785202 + 0.570482i −0.0622705 + 0.0452422i
\(160\) −3.57117 + 2.59461i −0.282326 + 0.205122i
\(161\) −1.74806 5.37999i −0.137767 0.424002i
\(162\) −0.127999 + 0.393941i −0.0100566 + 0.0309509i
\(163\) 0.392601 + 0.285241i 0.0307509 + 0.0223418i 0.603055 0.797700i \(-0.293950\pi\)
−0.572304 + 0.820042i \(0.693950\pi\)
\(164\) −10.9706 −0.856657
\(165\) 0 0
\(166\) 2.48528 0.192895
\(167\) −8.87537 6.44833i −0.686797 0.498987i 0.188809 0.982014i \(-0.439537\pi\)
−0.875606 + 0.483027i \(0.839537\pi\)
\(168\) −2.77206 + 8.53151i −0.213869 + 0.658220i
\(169\) 10.3914 + 31.9816i 0.799342 + 2.46012i
\(170\) −0.392601 + 0.285241i −0.0301111 + 0.0218770i
\(171\) 0 0
\(172\) 3.39009 + 10.4336i 0.258492 + 0.795556i
\(173\) 1.89802 5.84152i 0.144304 0.444122i −0.852617 0.522537i \(-0.824986\pi\)
0.996921 + 0.0784144i \(0.0249857\pi\)
\(174\) 7.25734 + 5.27276i 0.550177 + 0.399727i
\(175\) −2.00000 −0.151186
\(176\) 0 0
\(177\) −27.3137 −2.05302
\(178\) 3.12108 + 2.26760i 0.233935 + 0.169963i
\(179\) −0.511996 + 1.57576i −0.0382684 + 0.117778i −0.968366 0.249535i \(-0.919722\pi\)
0.930097 + 0.367313i \(0.119722\pi\)
\(180\) 2.82508 + 8.69469i 0.210569 + 0.648064i
\(181\) 1.06281 0.772178i 0.0789982 0.0573956i −0.547585 0.836750i \(-0.684453\pi\)
0.626583 + 0.779354i \(0.284453\pi\)
\(182\) 4.57649 3.32502i 0.339232 0.246467i
\(183\) 11.6366 + 35.8138i 0.860203 + 2.64743i
\(184\) 1.38603 4.26576i 0.102179 0.314476i
\(185\) 2.95846 + 2.14944i 0.217510 + 0.158030i
\(186\) 0 0
\(187\) 0 0
\(188\) 5.17157 0.377176
\(189\) 9.15298 + 6.65003i 0.665782 + 0.483719i
\(190\) 0 0
\(191\) −5.96826 18.3684i −0.431848 1.32909i −0.896282 0.443485i \(-0.853742\pi\)
0.464433 0.885608i \(-0.346258\pi\)
\(192\) 9.54558 6.93527i 0.688893 0.500510i
\(193\) 5.52431 4.01365i 0.397649 0.288909i −0.370934 0.928659i \(-0.620962\pi\)
0.768583 + 0.639751i \(0.220962\pi\)
\(194\) 0.980070 + 3.01635i 0.0703649 + 0.216561i
\(195\) 5.96826 18.3684i 0.427396 1.31539i
\(196\) −4.43769 3.22417i −0.316978 0.230298i
\(197\) −5.17157 −0.368459 −0.184230 0.982883i \(-0.558979\pi\)
−0.184230 + 0.982883i \(0.558979\pi\)
\(198\) 0 0
\(199\) 21.6569 1.53521 0.767607 0.640921i \(-0.221447\pi\)
0.767607 + 0.640921i \(0.221447\pi\)
\(200\) −1.28293 0.932102i −0.0907167 0.0659096i
\(201\) −3.92028 + 12.0654i −0.276515 + 0.851026i
\(202\) 1.70414 + 5.24481i 0.119903 + 0.369023i
\(203\) 12.3891 9.00117i 0.869541 0.631758i
\(204\) 4.90173 3.56132i 0.343190 0.249342i
\(205\) −1.85410 5.70634i −0.129496 0.398548i
\(206\) −0.149960 + 0.461530i −0.0104482 + 0.0321563i
\(207\) −11.4412 8.31254i −0.795220 0.577761i
\(208\) −20.4853 −1.42040
\(209\) 0 0
\(210\) −2.34315 −0.161692
\(211\) 12.9443 + 9.40456i 0.891120 + 0.647437i 0.936170 0.351548i \(-0.114345\pi\)
−0.0450495 + 0.998985i \(0.514345\pi\)
\(212\) −0.193883 + 0.596709i −0.0133159 + 0.0409821i
\(213\) −9.88854 30.4338i −0.677552 2.08529i
\(214\) −1.22543 + 0.890329i −0.0837689 + 0.0608617i
\(215\) −4.85410 + 3.52671i −0.331047 + 0.240520i
\(216\) 2.77206 + 8.53151i 0.188615 + 0.580496i
\(217\) 0 0
\(218\) 1.22543 + 0.890329i 0.0829968 + 0.0603007i
\(219\) −19.3137 −1.30510
\(220\) 0 0
\(221\) −8.00000 −0.538138
\(222\) 3.46605 + 2.51823i 0.232626 + 0.169013i
\(223\) −1.59810 + 4.91846i −0.107017 + 0.329364i −0.990199 0.139667i \(-0.955397\pi\)
0.883182 + 0.469031i \(0.155397\pi\)
\(224\) 2.72813 + 8.39633i 0.182281 + 0.561004i
\(225\) −4.04508 + 2.93893i −0.269672 + 0.195928i
\(226\) 2.79584 2.03129i 0.185976 0.135120i
\(227\) 0.830110 + 2.55482i 0.0550963 + 0.169569i 0.974818 0.223002i \(-0.0715857\pi\)
−0.919722 + 0.392571i \(0.871586\pi\)
\(228\) 0 0
\(229\) 17.2432 + 12.5279i 1.13946 + 0.827866i 0.987044 0.160451i \(-0.0512947\pi\)
0.152416 + 0.988316i \(0.451295\pi\)
\(230\) 1.17157 0.0772512
\(231\) 0 0
\(232\) 12.1421 0.797170
\(233\) −17.9134 13.0148i −1.17354 0.852629i −0.182115 0.983277i \(-0.558294\pi\)
−0.991429 + 0.130648i \(0.958294\pi\)
\(234\) 4.37016 13.4500i 0.285686 0.879252i
\(235\) 0.874032 + 2.68999i 0.0570156 + 0.175476i
\(236\) −14.2847 + 10.3784i −0.929854 + 0.675579i
\(237\) −9.15298 + 6.65003i −0.594550 + 0.431966i
\(238\) 0.299920 + 0.923060i 0.0194410 + 0.0598331i
\(239\) −0.212076 + 0.652702i −0.0137180 + 0.0422198i −0.957681 0.287831i \(-0.907066\pi\)
0.943963 + 0.330051i \(0.107066\pi\)
\(240\) 6.86474 + 4.98752i 0.443117 + 0.321943i
\(241\) 6.00000 0.386494 0.193247 0.981150i \(-0.438098\pi\)
0.193247 + 0.981150i \(0.438098\pi\)
\(242\) 0 0
\(243\) −14.1421 −0.907218
\(244\) 19.6940 + 14.3085i 1.26078 + 0.916011i
\(245\) 0.927051 2.85317i 0.0592271 0.182282i
\(246\) −2.17222 6.68539i −0.138495 0.426245i
\(247\) 0 0
\(248\) 0 0
\(249\) −5.24419 16.1400i −0.332337 1.02283i
\(250\) 0.127999 0.393941i 0.00809537 0.0249150i
\(251\) −9.70820 7.05342i −0.612776 0.445208i 0.237614 0.971360i \(-0.423635\pi\)
−0.850391 + 0.526151i \(0.823635\pi\)
\(252\) 18.2843 1.15180
\(253\) 0 0
\(254\) −6.48528 −0.406923
\(255\) 2.68085 + 1.94775i 0.167881 + 0.121973i
\(256\) 1.22697 3.77623i 0.0766857 0.236014i
\(257\) 4.11416 + 12.6621i 0.256634 + 0.789839i 0.993503 + 0.113804i \(0.0363035\pi\)
−0.736869 + 0.676036i \(0.763696\pi\)
\(258\) −5.68693 + 4.13180i −0.354053 + 0.257235i
\(259\) 5.91691 4.29889i 0.367659 0.267120i
\(260\) −3.85816 11.8742i −0.239273 0.736407i
\(261\) 11.8305 36.4105i 0.732289 2.25375i
\(262\) 3.79129 + 2.75453i 0.234227 + 0.170176i
\(263\) 22.9706 1.41643 0.708213 0.705999i \(-0.249502\pi\)
0.708213 + 0.705999i \(0.249502\pi\)
\(264\) 0 0
\(265\) −0.343146 −0.0210793
\(266\) 0 0
\(267\) 8.14048 25.0538i 0.498189 1.53327i
\(268\) 2.53425 + 7.79962i 0.154804 + 0.476438i
\(269\) 4.29888 3.12332i 0.262107 0.190432i −0.448968 0.893548i \(-0.648208\pi\)
0.711076 + 0.703116i \(0.248208\pi\)
\(270\) −1.89564 + 1.37727i −0.115365 + 0.0838178i
\(271\) −4.73220 14.5642i −0.287460 0.884712i −0.985650 0.168800i \(-0.946011\pi\)
0.698190 0.715913i \(-0.253989\pi\)
\(272\) 1.08611 3.34270i 0.0658550 0.202681i
\(273\) −31.2502 22.7046i −1.89135 1.37415i
\(274\) −9.51472 −0.574805
\(275\) 0 0
\(276\) −14.6274 −0.880467
\(277\) −0.947822 0.688633i −0.0569491 0.0413760i 0.558947 0.829204i \(-0.311206\pi\)
−0.615896 + 0.787828i \(0.711206\pi\)
\(278\) 0.511996 1.57576i 0.0307075 0.0945079i
\(279\) 0 0
\(280\) −2.56586 + 1.86420i −0.153339 + 0.111407i
\(281\) 4.29888 3.12332i 0.256450 0.186322i −0.452131 0.891952i \(-0.649336\pi\)
0.708580 + 0.705630i \(0.249336\pi\)
\(282\) 1.02399 + 3.15152i 0.0609779 + 0.187671i
\(283\) −3.90209 + 12.0094i −0.231955 + 0.713884i 0.765556 + 0.643370i \(0.222464\pi\)
−0.997511 + 0.0705145i \(0.977536\pi\)
\(284\) −16.7356 12.1591i −0.993073 0.721510i
\(285\) 0 0
\(286\) 0 0
\(287\) −12.0000 −0.708338
\(288\) 17.8559 + 12.9730i 1.05217 + 0.764444i
\(289\) −4.82914 + 14.8626i −0.284067 + 0.874268i
\(290\) 0.980070 + 3.01635i 0.0575517 + 0.177126i
\(291\) 17.5208 12.7296i 1.02709 0.746221i
\(292\) −10.1008 + 7.33866i −0.591105 + 0.429463i
\(293\) −4.58224 14.1027i −0.267697 0.823887i −0.991060 0.133419i \(-0.957405\pi\)
0.723363 0.690468i \(-0.242595\pi\)
\(294\) 1.08611 3.34270i 0.0633431 0.194950i
\(295\) −7.81256 5.67616i −0.454865 0.330479i
\(296\) 5.79899 0.337059
\(297\) 0 0
\(298\) −4.82843 −0.279703
\(299\) 15.6251 + 11.3523i 0.903624 + 0.656521i
\(300\) −1.59810 + 4.91846i −0.0922666 + 0.283967i
\(301\) 3.70820 + 11.4127i 0.213737 + 0.657816i
\(302\) −4.02127 + 2.92162i −0.231398 + 0.168121i
\(303\) 30.4650 22.1341i 1.75017 1.27157i
\(304\) 0 0
\(305\) −4.11416 + 12.6621i −0.235576 + 0.725029i
\(306\) 1.96300 + 1.42621i 0.112217 + 0.0815308i
\(307\) −27.6569 −1.57846 −0.789230 0.614098i \(-0.789520\pi\)
−0.789230 + 0.614098i \(0.789520\pi\)
\(308\) 0 0
\(309\) 3.31371 0.188510
\(310\) 0 0
\(311\) 8.44040 25.9769i 0.478611 1.47301i −0.362414 0.932017i \(-0.618047\pi\)
0.841025 0.540996i \(-0.181953\pi\)
\(312\) −9.46439 29.1284i −0.535816 1.64907i
\(313\) −17.2432 + 12.5279i −0.974641 + 0.708118i −0.956504 0.291718i \(-0.905773\pi\)
−0.0181361 + 0.999836i \(0.505773\pi\)
\(314\) −4.69148 + 3.40856i −0.264756 + 0.192356i
\(315\) 3.09017 + 9.51057i 0.174111 + 0.535860i
\(316\) −2.26006 + 6.95575i −0.127138 + 0.391292i
\(317\) −17.2432 12.5279i −0.968472 0.703636i −0.0133691 0.999911i \(-0.504256\pi\)
−0.955103 + 0.296275i \(0.904256\pi\)
\(318\) −0.402020 −0.0225442
\(319\) 0 0
\(320\) 4.17157 0.233198
\(321\) 8.36778 + 6.07955i 0.467044 + 0.339327i
\(322\) 0.724072 2.22846i 0.0403509 0.124187i
\(323\) 0 0
\(324\) 1.47923 1.07472i 0.0821794 0.0597068i
\(325\) 5.52431 4.01365i 0.306434 0.222637i
\(326\) 0.0621155 + 0.191172i 0.00344026 + 0.0105880i
\(327\) 3.19621 9.83692i 0.176751 0.543983i
\(328\) −7.69757 5.59261i −0.425027 0.308800i
\(329\) 5.65685 0.311872
\(330\) 0 0
\(331\) 15.3137 0.841718 0.420859 0.907126i \(-0.361729\pi\)
0.420859 + 0.907126i \(0.361729\pi\)
\(332\) −8.87537 6.44833i −0.487099 0.353898i
\(333\) 5.65015 17.3894i 0.309626 0.952932i
\(334\) −1.40422 4.32175i −0.0768356 0.236476i
\(335\) −3.62867 + 2.63638i −0.198255 + 0.144041i
\(336\) 13.7295 9.97505i 0.749004 0.544183i
\(337\) −1.08611 3.34270i −0.0591641 0.182088i 0.917107 0.398642i \(-0.130518\pi\)
−0.976271 + 0.216554i \(0.930518\pi\)
\(338\) −4.30428 + 13.2472i −0.234122 + 0.720553i
\(339\) −19.0912 13.8705i −1.03689 0.753345i
\(340\) 2.14214 0.116174
\(341\) 0 0
\(342\) 0 0
\(343\) −16.1803 11.7557i −0.873656 0.634748i
\(344\) −2.94021 + 9.04904i −0.158525 + 0.487891i
\(345\) −2.47214 7.60845i −0.133095 0.409625i
\(346\) 2.05827 1.49542i 0.110653 0.0803941i
\(347\) 18.5836 13.5018i 0.997619 0.724812i 0.0360423 0.999350i \(-0.488525\pi\)
0.961576 + 0.274538i \(0.0885249\pi\)
\(348\) −12.2364 37.6599i −0.655943 2.01878i
\(349\) −2.15402 + 6.62940i −0.115302 + 0.354864i −0.992010 0.126160i \(-0.959735\pi\)
0.876708 + 0.481023i \(0.159735\pi\)
\(350\) −0.670212 0.486937i −0.0358243 0.0260279i
\(351\) −38.6274 −2.06178
\(352\) 0 0
\(353\) −1.31371 −0.0699216 −0.0349608 0.999389i \(-0.511131\pi\)
−0.0349608 + 0.999389i \(0.511131\pi\)
\(354\) −9.15298 6.65003i −0.486476 0.353445i
\(355\) 3.49613 10.7600i 0.185555 0.571080i
\(356\) −5.26239 16.1960i −0.278906 0.858384i
\(357\) 5.36169 3.89550i 0.283771 0.206172i
\(358\) −0.555221 + 0.403392i −0.0293444 + 0.0213199i
\(359\) 7.20433 + 22.1727i 0.380230 + 1.17023i 0.939882 + 0.341500i \(0.110935\pi\)
−0.559652 + 0.828728i \(0.689065\pi\)
\(360\) −2.45017 + 7.54086i −0.129136 + 0.397438i
\(361\) 15.3713 + 11.1679i 0.809017 + 0.587785i
\(362\) 0.544156 0.0286002
\(363\) 0 0
\(364\) −24.9706 −1.30881
\(365\) −5.52431 4.01365i −0.289156 0.210084i
\(366\) −4.82004 + 14.8346i −0.251948 + 0.775415i
\(367\) 2.62210 + 8.06998i 0.136872 + 0.421250i 0.995877 0.0907188i \(-0.0289165\pi\)
−0.859004 + 0.511968i \(0.828916\pi\)
\(368\) −6.86474 + 4.98752i −0.357849 + 0.259993i
\(369\) −24.2705 + 17.6336i −1.26347 + 0.917966i
\(370\) 0.468074 + 1.44058i 0.0243340 + 0.0748923i
\(371\) −0.212076 + 0.652702i −0.0110104 + 0.0338866i
\(372\) 0 0
\(373\) −3.79899 −0.196704 −0.0983521 0.995152i \(-0.531357\pi\)
−0.0983521 + 0.995152i \(0.531357\pi\)
\(374\) 0 0
\(375\) −2.82843 −0.146059
\(376\) 3.62867 + 2.63638i 0.187134 + 0.135961i
\(377\) −16.1567 + 49.7253i −0.832114 + 2.56098i
\(378\) 1.44814 + 4.45693i 0.0744845 + 0.229240i
\(379\) −18.0760 + 13.1330i −0.928501 + 0.674595i −0.945625 0.325258i \(-0.894549\pi\)
0.0171244 + 0.999853i \(0.494549\pi\)
\(380\) 0 0
\(381\) 13.6846 + 42.1168i 0.701083 + 2.15771i
\(382\) 2.47214 7.60845i 0.126485 0.389282i
\(383\) 27.6216 + 20.0682i 1.41140 + 1.02544i 0.993118 + 0.117121i \(0.0373664\pi\)
0.418278 + 0.908319i \(0.362634\pi\)
\(384\) 29.8579 1.52368
\(385\) 0 0
\(386\) 2.82843 0.143963
\(387\) 24.2705 + 17.6336i 1.23374 + 0.896364i
\(388\) 4.32624 13.3148i 0.219631 0.675956i
\(389\) −7.61029 23.4221i −0.385857 1.18755i −0.935857 0.352381i \(-0.885372\pi\)
0.550000 0.835165i \(-0.314628\pi\)
\(390\) 6.47214 4.70228i 0.327729 0.238109i
\(391\) −2.68085 + 1.94775i −0.135576 + 0.0985019i
\(392\) −1.47010 4.52452i −0.0742515 0.228523i
\(393\) 9.88854 30.4338i 0.498811 1.53518i
\(394\) −1.73302 1.25912i −0.0873085 0.0634333i
\(395\) −4.00000 −0.201262
\(396\) 0 0
\(397\) 13.3137 0.668196 0.334098 0.942538i \(-0.391568\pi\)
0.334098 + 0.942538i \(0.391568\pi\)
\(398\) 7.25734 + 5.27276i 0.363777 + 0.264300i
\(399\) 0 0
\(400\) 0.927051 + 2.85317i 0.0463525 + 0.142658i
\(401\) −14.0071 + 10.1767i −0.699480 + 0.508202i −0.879763 0.475413i \(-0.842299\pi\)
0.180283 + 0.983615i \(0.442299\pi\)
\(402\) −4.25125 + 3.08871i −0.212033 + 0.154051i
\(403\) 0 0
\(404\) 7.52245 23.1517i 0.374256 1.15184i
\(405\) 0.809017 + 0.587785i 0.0402004 + 0.0292073i
\(406\) 6.34315 0.314805
\(407\) 0 0
\(408\) 5.25483 0.260153
\(409\) −28.2918 20.5552i −1.39894 1.01639i −0.994817 0.101683i \(-0.967577\pi\)
−0.404122 0.914705i \(-0.632423\pi\)
\(410\) 0.767994 2.36364i 0.0379285 0.116732i
\(411\) 20.0770 + 61.7907i 0.990326 + 3.04791i
\(412\) 1.73302 1.25912i 0.0853800 0.0620322i
\(413\) −15.6251 + 11.3523i −0.768862 + 0.558611i
\(414\) −1.81018 5.57116i −0.0889655 0.273808i
\(415\) 1.85410 5.70634i 0.0910143 0.280113i
\(416\) −24.3855 17.7171i −1.19560 0.868652i
\(417\) −11.3137 −0.554035
\(418\) 0 0
\(419\) −14.3431 −0.700709 −0.350354 0.936617i \(-0.613939\pi\)
−0.350354 + 0.936617i \(0.613939\pi\)
\(420\) 8.36778 + 6.07955i 0.408306 + 0.296652i
\(421\) −1.85410 + 5.70634i −0.0903634 + 0.278110i −0.986018 0.166641i \(-0.946708\pi\)
0.895654 + 0.444751i \(0.146708\pi\)
\(422\) 2.04798 + 6.30305i 0.0996943 + 0.306828i
\(423\) 11.4412 8.31254i 0.556292 0.404169i
\(424\) −0.440231 + 0.319847i −0.0213795 + 0.0155331i
\(425\) 0.362036 + 1.11423i 0.0175613 + 0.0540482i
\(426\) 4.09597 12.6061i 0.198450 0.610767i
\(427\) 21.5420 + 15.6512i 1.04249 + 0.757415i
\(428\) 6.68629 0.323194
\(429\) 0 0
\(430\) −2.48528 −0.119851
\(431\) −9.15298 6.65003i −0.440884 0.320321i 0.345102 0.938565i \(-0.387844\pi\)
−0.785986 + 0.618244i \(0.787844\pi\)
\(432\) 5.24419 16.1400i 0.252311 0.776534i
\(433\) 1.13003 + 3.47788i 0.0543058 + 0.167136i 0.974531 0.224254i \(-0.0719944\pi\)
−0.920225 + 0.391390i \(0.871994\pi\)
\(434\) 0 0
\(435\) 17.5208 12.7296i 0.840056 0.610337i
\(436\) −2.06618 6.35904i −0.0989520 0.304543i
\(437\) 0 0
\(438\) −6.47214 4.70228i −0.309251 0.224684i
\(439\) −16.0000 −0.763638 −0.381819 0.924237i \(-0.624702\pi\)
−0.381819 + 0.924237i \(0.624702\pi\)
\(440\) 0 0
\(441\) −15.0000 −0.714286
\(442\) −2.68085 1.94775i −0.127515 0.0926450i
\(443\) −6.54238 + 20.1354i −0.310838 + 0.956660i 0.666596 + 0.745419i \(0.267751\pi\)
−0.977434 + 0.211241i \(0.932249\pi\)
\(444\) −5.84403 17.9861i −0.277346 0.853582i
\(445\) 7.53495 5.47446i 0.357191 0.259514i
\(446\) −1.73302 + 1.25912i −0.0820611 + 0.0596209i
\(447\) 10.1885 + 31.3569i 0.481898 + 1.48313i
\(448\) 2.57817 7.93480i 0.121807 0.374884i
\(449\) 13.4519 + 9.77335i 0.634833 + 0.461233i 0.858071 0.513531i \(-0.171663\pi\)
−0.223238 + 0.974764i \(0.571663\pi\)
\(450\) −2.07107 −0.0976311
\(451\) 0 0
\(452\) −15.2548 −0.717527
\(453\) 27.4589 + 19.9501i 1.29013 + 0.937337i
\(454\) −0.343843 + 1.05824i −0.0161373 + 0.0496656i
\(455\) −4.22020 12.9884i −0.197846 0.608907i
\(456\) 0 0
\(457\) 13.3369 9.68981i 0.623873 0.453270i −0.230399 0.973096i \(-0.574003\pi\)
0.854272 + 0.519826i \(0.174003\pi\)
\(458\) 2.72813 + 8.39633i 0.127477 + 0.392335i
\(459\) 2.04798 6.30305i 0.0955917 0.294201i
\(460\) −4.18389 3.03977i −0.195075 0.141730i
\(461\) −32.6274 −1.51961 −0.759805 0.650151i \(-0.774706\pi\)
−0.759805 + 0.650151i \(0.774706\pi\)
\(462\) 0 0
\(463\) 22.1421 1.02903 0.514516 0.857481i \(-0.327972\pi\)
0.514516 + 0.857481i \(0.327972\pi\)
\(464\) −18.5836 13.5018i −0.862721 0.626803i
\(465\) 0 0
\(466\) −2.83417 8.72268i −0.131290 0.404071i
\(467\) 7.41996 5.39092i 0.343355 0.249462i −0.402721 0.915323i \(-0.631936\pi\)
0.746076 + 0.665861i \(0.231936\pi\)
\(468\) −50.5040 + 36.6933i −2.33455 + 1.69615i
\(469\) 2.77206 + 8.53151i 0.128002 + 0.393949i
\(470\) −0.362036 + 1.11423i −0.0166995 + 0.0513957i
\(471\) 32.0354 + 23.2751i 1.47612 + 1.07246i
\(472\) −15.3137 −0.704871
\(473\) 0 0
\(474\) −4.68629 −0.215248
\(475\) 0 0
\(476\) 1.32391 4.07458i 0.0606814 0.186758i
\(477\) 0.530189 + 1.63176i 0.0242757 + 0.0747129i
\(478\) −0.229980 + 0.167090i −0.0105191 + 0.00764254i
\(479\) 29.1246 21.1603i 1.33074 0.966837i 0.331007 0.943628i \(-0.392612\pi\)
0.999731 0.0232090i \(-0.00738832\pi\)
\(480\) 3.85816 + 11.8742i 0.176100 + 0.541981i
\(481\) −7.71633 + 23.7484i −0.351834 + 1.08283i
\(482\) 2.01063 + 1.46081i 0.0915819 + 0.0665382i
\(483\) −16.0000 −0.728025
\(484\) 0 0
\(485\) 7.65685 0.347680
\(486\) −4.73911 3.44317i −0.214970 0.156185i
\(487\) −2.32218 + 7.14692i −0.105228 + 0.323858i −0.989784 0.142576i \(-0.954461\pi\)
0.884556 + 0.466434i \(0.154461\pi\)
\(488\) 6.52418 + 20.0794i 0.295336 + 0.908950i
\(489\) 1.11044 0.806784i 0.0502160 0.0364840i
\(490\) 1.00532 0.730406i 0.0454156 0.0329964i
\(491\) −7.20433 22.1727i −0.325127 1.00064i −0.971383 0.237517i \(-0.923666\pi\)
0.646256 0.763120i \(-0.276334\pi\)
\(492\) −9.58862 + 29.5107i −0.432289 + 1.33045i
\(493\) −7.25734 5.27276i −0.326854 0.237473i
\(494\) 0 0
\(495\) 0 0
\(496\) 0 0
\(497\) −18.3060 13.3001i −0.821135 0.596589i
\(498\) 2.17222 6.68539i 0.0973393 0.299580i
\(499\) −0.511996 1.57576i −0.0229201 0.0705408i 0.938942 0.344075i \(-0.111807\pi\)
−0.961862 + 0.273534i \(0.911807\pi\)
\(500\) −1.47923 + 1.07472i −0.0661531 + 0.0480631i
\(501\) −25.1033 + 18.2386i −1.12153 + 0.814843i
\(502\) −1.53599 4.72729i −0.0685545 0.210989i
\(503\) −8.84636 + 27.2263i −0.394440 + 1.21396i 0.534957 + 0.844879i \(0.320328\pi\)
−0.929397 + 0.369081i \(0.879672\pi\)
\(504\) 12.8293 + 9.32102i 0.571462 + 0.415191i
\(505\) 13.3137 0.592452
\(506\) 0 0
\(507\) 95.1127 4.22410
\(508\) 23.1601 + 16.8268i 1.02756 + 0.746567i
\(509\) 2.87809 8.85786i 0.127569 0.392618i −0.866791 0.498671i \(-0.833821\pi\)
0.994360 + 0.106053i \(0.0338215\pi\)
\(510\) 0.424151 + 1.30540i 0.0187817 + 0.0578043i
\(511\) −11.0486 + 8.02730i −0.488762 + 0.355107i
\(512\) 18.4111 13.3764i 0.813663 0.591161i
\(513\) 0 0
\(514\) −1.70414 + 5.24481i −0.0751665 + 0.231339i
\(515\) 0.947822 + 0.688633i 0.0417660 + 0.0303448i
\(516\) 31.0294 1.36599
\(517\) 0 0
\(518\) 3.02944 0.133106
\(519\) −14.0547 10.2113i −0.616934 0.448228i
\(520\) 3.34617 10.2984i 0.146739 0.451617i
\(521\) 0.830110 + 2.55482i 0.0363678 + 0.111928i 0.967592 0.252517i \(-0.0812585\pi\)
−0.931225 + 0.364446i \(0.881258\pi\)
\(522\) 12.8293 9.32102i 0.561522 0.407970i
\(523\) −30.4174 + 22.0995i −1.33006 + 0.966345i −0.330313 + 0.943872i \(0.607154\pi\)
−0.999747 + 0.0224738i \(0.992846\pi\)
\(524\) −6.39242 19.6738i −0.279254 0.859455i
\(525\) −1.74806 + 5.37999i −0.0762918 + 0.234802i
\(526\) 7.69757 + 5.59261i 0.335630 + 0.243849i
\(527\) 0 0
\(528\) 0 0
\(529\) −15.0000 −0.652174
\(530\) −0.114990 0.0835452i −0.00499485 0.00362897i
\(531\) −14.9207 + 45.9211i −0.647502 + 1.99280i
\(532\) 0 0
\(533\) 33.1459 24.0819i 1.43571 1.04310i
\(534\) 8.82774 6.41373i 0.382014 0.277549i
\(535\) 1.13003 + 3.47788i 0.0488555 + 0.150362i
\(536\) −2.19794 + 6.76458i −0.0949368 + 0.292185i
\(537\) 3.79129 + 2.75453i 0.163606 + 0.118867i
\(538\) 2.20101 0.0948923
\(539\) 0 0
\(540\) 10.3431 0.445098
\(541\) −4.85410 3.52671i −0.208694 0.151625i 0.478529 0.878072i \(-0.341170\pi\)
−0.687223 + 0.726447i \(0.741170\pi\)
\(542\) 1.96014 6.03269i 0.0841952 0.259126i
\(543\) −1.14822 3.53387i −0.0492750 0.151653i
\(544\) 4.18389 3.03977i 0.179383 0.130329i
\(545\) 2.95846 2.14944i 0.126726 0.0920721i
\(546\) −4.94427 15.2169i −0.211595 0.651223i
\(547\) −10.5066 + 32.3359i −0.449229 + 1.38258i 0.428550 + 0.903518i \(0.359025\pi\)
−0.877779 + 0.479066i \(0.840975\pi\)
\(548\) 33.9787 + 24.6870i 1.45150 + 1.05458i
\(549\) 66.5685 2.84108
\(550\) 0 0
\(551\) 0 0
\(552\) −10.2634 7.45682i −0.436840 0.317383i
\(553\) −2.47214 + 7.60845i −0.105126 + 0.323544i
\(554\) −0.149960 0.461530i −0.00637120 0.0196085i
\(555\) 8.36778 6.07955i 0.355193 0.258062i
\(556\) −5.91691 + 4.29889i −0.250933 + 0.182314i
\(557\) 11.7866 + 36.2753i 0.499413 + 1.53703i 0.809965 + 0.586478i \(0.199486\pi\)
−0.310552 + 0.950556i \(0.600514\pi\)
\(558\) 0 0
\(559\) −33.1459 24.0819i −1.40192 1.01856i
\(560\) 6.00000 0.253546
\(561\) 0 0
\(562\) 2.20101 0.0928440
\(563\) −9.43059 6.85173i −0.397452 0.288766i 0.371050 0.928613i \(-0.378998\pi\)
−0.768502 + 0.639847i \(0.778998\pi\)
\(564\) 4.52012 13.9115i 0.190331 0.585780i
\(565\) −2.57817 7.93480i −0.108465 0.333820i
\(566\) −4.23152 + 3.07438i −0.177864 + 0.129226i
\(567\) 1.61803 1.17557i 0.0679510 0.0493693i
\(568\) −5.54411 17.0630i −0.232626 0.715949i
\(569\) 6.28638 19.3475i 0.263539 0.811089i −0.728488 0.685059i \(-0.759776\pi\)
0.992026 0.126030i \(-0.0402235\pi\)
\(570\) 0 0
\(571\) 45.9411 1.92258 0.961288 0.275545i \(-0.0888584\pi\)
0.961288 + 0.275545i \(0.0888584\pi\)
\(572\) 0 0
\(573\) −54.6274 −2.28209
\(574\) −4.02127 2.92162i −0.167845 0.121946i
\(575\) 0.874032 2.68999i 0.0364497 0.112181i
\(576\) −6.44543 19.8370i −0.268560 0.826542i
\(577\) −5.63930 + 4.09719i −0.234767 + 0.170568i −0.698949 0.715172i \(-0.746349\pi\)
0.464182 + 0.885740i \(0.346349\pi\)
\(578\) −5.23684 + 3.80479i −0.217824 + 0.158258i
\(579\) −5.96826 18.3684i −0.248033 0.763366i
\(580\) 4.32624 13.3148i 0.179637 0.552867i
\(581\) −9.70820 7.05342i −0.402764 0.292625i
\(582\) 8.97056 0.371842
\(583\) 0 0
\(584\) −10.8284 −0.448084
\(585\) −27.6216 20.0682i −1.14201 0.829720i
\(586\) 1.89802 5.84152i 0.0784067 0.241311i
\(587\) 8.07836 + 24.8626i 0.333430 + 1.02619i 0.967490 + 0.252908i \(0.0813870\pi\)
−0.634061 + 0.773283i \(0.718613\pi\)
\(588\) −12.5517 + 9.11932i −0.517622 + 0.376075i
\(589\) 0 0
\(590\) −1.23607 3.80423i −0.0508881 0.156618i
\(591\) −4.52012 + 13.9115i −0.185933 + 0.572243i
\(592\) −8.87537 6.44833i −0.364776 0.265025i
\(593\) 20.4853 0.841230 0.420615 0.907239i \(-0.361814\pi\)
0.420615 + 0.907239i \(0.361814\pi\)
\(594\) 0 0
\(595\) 2.34315 0.0960596
\(596\) 17.2432 + 12.5279i 0.706307 + 0.513162i
\(597\) 18.9288 58.2568i 0.774704 2.38429i
\(598\) 2.47214 + 7.60845i 0.101093 + 0.311133i
\(599\) −4.57649 + 3.32502i −0.186990 + 0.135856i −0.677342 0.735668i \(-0.736868\pi\)
0.490352 + 0.871525i \(0.336868\pi\)
\(600\) −3.62867 + 2.63638i −0.148140 + 0.107630i
\(601\) −13.5786 41.7905i −0.553881 1.70467i −0.698881 0.715238i \(-0.746318\pi\)
0.145000 0.989432i \(-0.453682\pi\)
\(602\) −1.53599 + 4.72729i −0.0626022 + 0.192670i
\(603\) 18.1433 + 13.1819i 0.738854 + 0.536809i
\(604\) 21.9411 0.892772
\(605\) 0 0
\(606\) 15.5980 0.633625
\(607\) 14.7923 + 10.7472i 0.600400 + 0.436216i 0.846021 0.533150i \(-0.178992\pi\)
−0.245621 + 0.969366i \(0.578992\pi\)
\(608\) 0 0
\(609\) −13.3847 41.1938i −0.542374 1.66926i
\(610\) −4.46150 + 3.24147i −0.180641 + 0.131243i
\(611\) −15.6251 + 11.3523i −0.632125 + 0.459265i
\(612\) −3.30978 10.1865i −0.133790 0.411763i
\(613\) 7.86629 24.2099i 0.317716 0.977831i −0.656905 0.753973i \(-0.728135\pi\)
0.974622 0.223858i \(-0.0718650\pi\)
\(614\) −9.26797 6.73358i −0.374025 0.271745i
\(615\) −16.9706 −0.684319
\(616\) 0 0
\(617\) 11.6569 0.469287 0.234644 0.972081i \(-0.424608\pi\)
0.234644 + 0.972081i \(0.424608\pi\)
\(618\) 1.11044 + 0.806784i 0.0446686 + 0.0324536i
\(619\) −7.92840 + 24.4011i −0.318669 + 0.980764i 0.655548 + 0.755153i \(0.272438\pi\)
−0.974218 + 0.225610i \(0.927562\pi\)
\(620\) 0 0
\(621\) −12.9443 + 9.40456i −0.519436 + 0.377392i
\(622\) 9.15298 6.65003i 0.367001 0.266642i
\(623\) −5.75619 17.7157i −0.230617 0.709766i
\(624\) −17.9048 + 55.1053i −0.716765 + 2.20598i
\(625\) −0.809017 0.587785i −0.0323607 0.0235114i
\(626\) −8.82843 −0.352855
\(627\) 0 0
\(628\) 25.5980 1.02147
\(629\) −3.46605 2.51823i −0.138200 0.100408i
\(630\) −1.27999 + 3.93941i −0.0509960 + 0.156950i
\(631\) 0 0 0.951057 0.309017i \(-0.100000\pi\)
−0.951057 + 0.309017i \(0.900000\pi\)
\(632\) −5.13171 + 3.72841i −0.204129 + 0.148308i
\(633\) 36.6119 26.6001i 1.45519 1.05726i
\(634\) −2.72813 8.39633i −0.108348 0.333461i
\(635\) −4.83823 + 14.8906i −0.191999 + 0.590914i
\(636\) 1.43568 + 1.04309i 0.0569286 + 0.0413610i
\(637\) 20.4853 0.811656
\(638\) 0 0
\(639\) −56.5685 −2.23782
\(640\) 8.54027 + 6.20487i 0.337584 + 0.245269i
\(641\) 9.27051 28.5317i 0.366163 1.12693i −0.583086 0.812410i \(-0.698155\pi\)
0.949250 0.314524i \(-0.101845\pi\)
\(642\) 1.32391 + 4.07458i 0.0522507 + 0.160811i
\(643\) −40.0106 + 29.0694i −1.57786 + 1.14639i −0.658773 + 0.752341i \(0.728924\pi\)
−0.919091 + 0.394044i \(0.871076\pi\)
\(644\) −8.36778 + 6.07955i −0.329737 + 0.239568i
\(645\) 5.24419 + 16.1400i 0.206490 + 0.635510i
\(646\) 0 0
\(647\) 28.4068 + 20.6387i 1.11679 + 0.811392i 0.983719 0.179715i \(-0.0575176\pi\)
0.133067 + 0.991107i \(0.457518\pi\)
\(648\) 1.58579 0.0622956
\(649\) 0 0
\(650\) 2.82843 0.110940
\(651\) 0 0
\(652\) 0.274191 0.843874i 0.0107382 0.0330487i
\(653\) 0.106038 + 0.326351i 0.00414958 + 0.0127711i 0.953110 0.302624i \(-0.0978628\pi\)
−0.948960 + 0.315396i \(0.897863\pi\)
\(654\) 3.46605 2.51823i 0.135533 0.0984706i
\(655\) 9.15298 6.65003i 0.357637 0.259838i
\(656\) 5.56231 + 17.1190i 0.217172 + 0.668385i
\(657\) −10.5505 + 32.4711i −0.411614 + 1.26682i
\(658\) 1.89564 + 1.37727i 0.0738999 + 0.0536914i
\(659\) −21.9411 −0.854705 −0.427352 0.904085i \(-0.640554\pi\)
−0.427352 + 0.904085i \(0.640554\pi\)
\(660\) 0 0
\(661\) −0.627417 −0.0244037 −0.0122018 0.999926i \(-0.503884\pi\)
−0.0122018 + 0.999926i \(0.503884\pi\)
\(662\) 5.13171 + 3.72841i 0.199450 + 0.144909i
\(663\) −6.99226 + 21.5200i −0.271557 + 0.835766i
\(664\) −2.94021 9.04904i −0.114102 0.351171i
\(665\) 0 0
\(666\) 6.12717 4.45165i 0.237423 0.172498i
\(667\) 6.69234 + 20.5969i 0.259128 + 0.797515i
\(668\) −6.19853 + 19.0771i −0.239828 + 0.738116i
\(669\) 11.8338 + 8.59778i 0.457522 + 0.332409i
\(670\) −1.85786 −0.0717756
\(671\) 0 0
\(672\) 24.9706 0.963260
\(673\) −3.62867 2.63638i −0.139875 0.101625i 0.515647 0.856801i \(-0.327551\pi\)
−0.655522 + 0.755176i \(0.727551\pi\)
\(674\) 0.449881 1.38459i 0.0173288 0.0533324i
\(675\) 1.74806 + 5.37999i 0.0672830 + 0.207076i
\(676\) 49.7426 36.1401i 1.91318 1.39001i
\(677\) −13.8921 + 10.0932i −0.533917 + 0.387913i −0.821821 0.569746i \(-0.807042\pi\)
0.287904 + 0.957659i \(0.407042\pi\)
\(678\) −3.02052 9.29620i −0.116002 0.357018i
\(679\) 4.73220 14.5642i 0.181605 0.558923i
\(680\) 1.50304 + 1.09203i 0.0576391 + 0.0418773i
\(681\) 7.59798 0.291155
\(682\) 0 0
\(683\) 31.7990 1.21675 0.608377 0.793648i \(-0.291821\pi\)
0.608377 + 0.793648i \(0.291821\pi\)
\(684\) 0 0
\(685\) −7.09829 + 21.8463i −0.271212 + 0.834704i
\(686\) −2.55998 7.87881i −0.0977405 0.300814i
\(687\) 48.7710 35.4342i 1.86073 1.35190i
\(688\) 14.5623 10.5801i 0.555183 0.403364i
\(689\) −0.724072 2.22846i −0.0275849 0.0848977i
\(690\) 1.02399 3.15152i 0.0389827 0.119976i
\(691\) 13.4995 + 9.80796i 0.513545 + 0.373112i 0.814167 0.580631i \(-0.197194\pi\)
−0.300622 + 0.953743i \(0.597194\pi\)
\(692\) −11.2304 −0.426918
\(693\) 0 0
\(694\) 9.51472 0.361174
\(695\) −3.23607 2.35114i −0.122751 0.0891839i
\(696\) 10.6126 32.6623i 0.402270 1.23806i
\(697\) 2.17222 + 6.68539i 0.0822785 + 0.253227i
\(698\) −2.33588 + 1.69711i −0.0884142 + 0.0642367i
\(699\) −50.6666 + 36.8115i −1.91639 + 1.39234i
\(700\) 1.13003 + 3.47788i 0.0427111 + 0.131451i
\(701\) 10.0824 31.0305i 0.380808 1.17201i −0.558668 0.829391i \(-0.688687\pi\)
0.939476 0.342615i \(-0.111313\pi\)
\(702\) −12.9443 9.40456i −0.488550 0.354952i
\(703\) 0 0
\(704\) 0 0
\(705\) 8.00000 0.301297
\(706\) −0.440231 0.319847i −0.0165683 0.0120376i
\(707\) 8.22832 25.3242i 0.309458 0.952414i
\(708\) 15.4327 + 47.4968i 0.579995 + 1.78504i
\(709\) 16.6879 12.1245i 0.626728 0.455345i −0.228537 0.973535i \(-0.573394\pi\)
0.855265 + 0.518190i \(0.173394\pi\)
\(710\) 3.79129 2.75453i 0.142285 0.103376i
\(711\) 6.18034 + 19.0211i 0.231781 + 0.713348i
\(712\) 4.56404 14.0467i 0.171045 0.526422i
\(713\) 0 0
\(714\) 2.74517 0.102735
\(715\) 0 0
\(716\) 3.02944 0.113215
\(717\) 1.57040 + 1.14096i 0.0586478 + 0.0426101i
\(718\) −2.98413 + 9.18421i −0.111367 + 0.342752i
\(719\) 9.16447 + 28.2053i 0.341777 + 1.05188i 0.963287 + 0.268475i \(0.0865197\pi\)
−0.621509 + 0.783407i \(0.713480\pi\)
\(720\) 12.1353 8.81678i 0.452254 0.328582i
\(721\) 1.89564 1.37727i 0.0705975 0.0512921i
\(722\) 2.43198 + 7.48487i 0.0905090 + 0.278558i
\(723\) 5.24419 16.1400i 0.195034 0.600252i
\(724\) −1.94328 1.41187i −0.0722213 0.0524718i
\(725\) 7.65685 0.284368
\(726\) 0 0
\(727\) −36.4853 −1.35316 −0.676582 0.736367i \(-0.736540\pi\)
−0.676582 + 0.736367i \(0.736540\pi\)
\(728\) −17.5208 12.7296i −0.649363 0.471790i
\(729\) −13.2877 + 40.8954i −0.492138 + 1.51465i
\(730\) −0.874032 2.68999i −0.0323494 0.0995611i
\(731\) 5.68693 4.13180i 0.210339 0.152820i
\(732\) 55.7031 40.4707i 2.05885 1.49584i
\(733\) 10.3384 + 31.8184i 0.381858 + 1.17524i 0.938734 + 0.344643i \(0.112000\pi\)
−0.556875 + 0.830596i \(0.688000\pi\)
\(734\) −1.08611 + 3.34270i −0.0400890 + 0.123381i
\(735\) −6.86474 4.98752i −0.253210 0.183968i
\(736\) −12.4853 −0.460214
\(737\) 0 0
\(738\) −12.4264 −0.457422
\(739\) 30.6950 + 22.3012i 1.12913 + 0.820364i 0.985569 0.169277i \(-0.0541431\pi\)
0.143566 + 0.989641i \(0.454143\pi\)
\(740\) 2.06618 6.35904i 0.0759542 0.233763i
\(741\) 0 0
\(742\) −0.229980 + 0.167090i −0.00844284 + 0.00613408i
\(743\) −23.9453 + 17.3973i −0.878467 + 0.638243i −0.932845 0.360277i \(-0.882682\pi\)
0.0543787 + 0.998520i \(0.482682\pi\)
\(744\) 0 0
\(745\) −3.60217 + 11.0863i −0.131973 + 0.406172i
\(746\) −1.27306 0.924935i −0.0466102 0.0338643i
\(747\) −30.0000 −1.09764
\(748\) 0 0
\(749\) 7.31371 0.267237
\(750\) −0.947822 0.688633i −0.0346096 0.0251453i
\(751\) −4.94427 + 15.2169i −0.180419 + 0.555273i −0.999839 0.0179203i \(-0.994295\pi\)
0.819420 + 0.573193i \(0.194295\pi\)
\(752\) −2.62210 8.06998i −0.0956180 0.294282i
\(753\) −27.4589 + 19.9501i −1.00066 + 0.727022i
\(754\) −17.5208 + 12.7296i −0.638069 + 0.463584i
\(755\) 3.70820 + 11.4127i 0.134955 + 0.415350i
\(756\) 6.39242 19.6738i 0.232490 0.715530i
\(757\) 7.53495 + 5.47446i 0.273862 + 0.198973i 0.716236 0.697858i \(-0.245863\pi\)
−0.442374 + 0.896831i \(0.645863\pi\)
\(758\) −9.25483 −0.336151
\(759\) 0 0
\(760\) 0 0
\(761\) 24.2705 + 17.6336i 0.879805 + 0.639216i 0.933200 0.359358i \(-0.117004\pi\)
−0.0533947 + 0.998573i \(0.517004\pi\)
\(762\) −5.66834 + 17.4454i −0.205342 + 0.631979i
\(763\) −2.26006 6.95575i −0.0818197 0.251815i
\(764\) −28.5694 + 20.7569i −1.03360 + 0.750957i
\(765\) 4.73911 3.44317i 0.171343 0.124488i
\(766\) 4.37016 + 13.4500i 0.157900 + 0.485967i
\(767\) 20.3769 62.7137i 0.735768 2.26446i
\(768\) −9.08562 6.60109i −0.327849 0.238196i
\(769\) 14.9706 0.539852 0.269926 0.962881i \(-0.413001\pi\)
0.269926 + 0.962881i \(0.413001\pi\)
\(770\) 0 0
\(771\) 37.6569 1.35618
\(772\) −10.1008 7.33866i −0.363536 0.264124i
\(773\) −9.35835 + 28.8021i −0.336597 + 1.03594i 0.629334 + 0.777135i \(0.283328\pi\)
−0.965930 + 0.258803i \(0.916672\pi\)
\(774\) 3.83997 + 11.8182i 0.138025 + 0.424797i
\(775\) 0 0
\(776\) 9.82319 7.13697i 0.352632 0.256202i
\(777\) −6.39242 19.6738i −0.229327 0.705795i
\(778\) 3.15229