Properties

Label 273.2.cd.e.242.15
Level $273$
Weight $2$
Character 273.242
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 242.15
Character \(\chi\) \(=\) 273.242
Dual form 273.2.cd.e.44.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.246180 + 0.0659636i) q^{2} +(1.72740 - 0.126782i) q^{3} +(-1.67580 - 0.967522i) q^{4} +(2.71744 + 0.728135i) q^{5} +(0.433615 + 0.0827348i) q^{6} +(1.41179 + 2.23760i) q^{7} +(-0.709158 - 0.709158i) q^{8} +(2.96785 - 0.438007i) q^{9} +O(q^{10})\) \(q+(0.246180 + 0.0659636i) q^{2} +(1.72740 - 0.126782i) q^{3} +(-1.67580 - 0.967522i) q^{4} +(2.71744 + 0.728135i) q^{5} +(0.433615 + 0.0827348i) q^{6} +(1.41179 + 2.23760i) q^{7} +(-0.709158 - 0.709158i) q^{8} +(2.96785 - 0.438007i) q^{9} +(0.620947 + 0.358504i) q^{10} +(-3.10321 + 0.831504i) q^{11} +(-3.01744 - 1.45884i) q^{12} +(-3.47296 - 0.968803i) q^{13} +(0.199953 + 0.643978i) q^{14} +(4.78643 + 0.913262i) q^{15} +(1.80724 + 3.13024i) q^{16} +(3.96062 - 6.86000i) q^{17} +(0.759517 + 0.0879420i) q^{18} +(-0.0189720 + 0.0708044i) q^{19} +(-3.84939 - 3.84939i) q^{20} +(2.72242 + 3.68625i) q^{21} -0.818797 q^{22} +(1.44544 + 2.50358i) q^{23} +(-1.31491 - 1.13509i) q^{24} +(2.52416 + 1.45732i) q^{25} +(-0.791065 - 0.467588i) q^{26} +(5.07115 - 1.13288i) q^{27} +(-0.200944 - 5.11570i) q^{28} +0.0351243i q^{29} +(1.11808 + 0.540557i) q^{30} +(-8.23449 + 2.20642i) q^{31} +(0.757564 + 2.82727i) q^{32} +(-5.25509 + 1.82977i) q^{33} +(1.42753 - 1.42753i) q^{34} +(2.20717 + 7.10851i) q^{35} +(-5.39730 - 2.13745i) q^{36} +(-8.86476 - 2.37531i) q^{37} +(-0.00934103 + 0.0161791i) q^{38} +(-6.12203 - 1.23321i) q^{39} +(-1.41073 - 2.44345i) q^{40} +(-1.39282 + 1.39282i) q^{41} +(0.427045 + 1.08706i) q^{42} -0.378909i q^{43} +(6.00486 + 1.60900i) q^{44} +(8.38388 + 0.970742i) q^{45} +(0.190693 + 0.711676i) q^{46} +(-0.516348 + 1.92704i) q^{47} +(3.51870 + 5.17806i) q^{48} +(-3.01371 + 6.31804i) q^{49} +(0.525266 + 0.525266i) q^{50} +(5.97187 - 12.3521i) q^{51} +(4.88263 + 4.98368i) q^{52} +(-5.88649 - 3.39856i) q^{53} +(1.32314 + 0.0556184i) q^{54} -9.03824 q^{55} +(0.585631 - 2.58799i) q^{56} +(-0.0237956 + 0.124713i) q^{57} +(-0.00231692 + 0.00864688i) q^{58} +(8.27883 - 2.21831i) q^{59} +(-7.13748 - 6.16142i) q^{60} +(-4.83406 - 8.37284i) q^{61} -2.17271 q^{62} +(5.17006 + 6.02249i) q^{63} -6.48298i q^{64} +(-8.73212 - 5.16144i) q^{65} +(-1.41439 + 0.103809i) q^{66} +(-4.85879 + 1.30191i) q^{67} +(-13.2744 + 7.66398i) q^{68} +(2.81427 + 4.14143i) q^{69} +(0.0744576 + 1.89556i) q^{70} +(1.74479 - 1.74479i) q^{71} +(-2.41529 - 1.79406i) q^{72} +(2.08150 + 7.76825i) q^{73} +(-2.02564 - 1.16950i) q^{74} +(4.54500 + 2.19737i) q^{75} +(0.100298 - 0.100298i) q^{76} +(-6.24166 - 5.76984i) q^{77} +(-1.42577 - 0.707422i) q^{78} +(3.79033 + 6.56505i) q^{79} +(2.63183 + 9.82214i) q^{80} +(8.61630 - 2.59988i) q^{81} +(-0.434759 + 0.251008i) q^{82} +(3.46542 - 3.46542i) q^{83} +(-0.995690 - 8.81141i) q^{84} +(15.7578 - 15.7578i) q^{85} +(0.0249942 - 0.0932797i) q^{86} +(0.00445312 + 0.0606738i) q^{87} +(2.79034 + 1.61100i) q^{88} +(-3.92087 + 14.6329i) q^{89} +(1.99991 + 0.792008i) q^{90} +(-2.73529 - 9.13883i) q^{91} -5.59398i q^{92} +(-13.9446 + 4.85537i) q^{93} +(-0.254229 + 0.440337i) q^{94} +(-0.103110 + 0.178592i) q^{95} +(1.66707 + 4.78779i) q^{96} +(0.107635 + 0.107635i) q^{97} +(-1.15867 + 1.35658i) q^{98} +(-8.84568 + 3.82701i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.246180 + 0.0659636i 0.174075 + 0.0466433i 0.344804 0.938675i \(-0.387945\pi\)
−0.170729 + 0.985318i \(0.554612\pi\)
\(3\) 1.72740 0.126782i 0.997317 0.0731975i
\(4\) −1.67580 0.967522i −0.837899 0.483761i
\(5\) 2.71744 + 0.728135i 1.21527 + 0.325632i 0.808830 0.588043i \(-0.200101\pi\)
0.406445 + 0.913675i \(0.366768\pi\)
\(6\) 0.433615 + 0.0827348i 0.177022 + 0.0337763i
\(7\) 1.41179 + 2.23760i 0.533606 + 0.845733i
\(8\) −0.709158 0.709158i −0.250725 0.250725i
\(9\) 2.96785 0.438007i 0.989284 0.146002i
\(10\) 0.620947 + 0.358504i 0.196361 + 0.113369i
\(11\) −3.10321 + 0.831504i −0.935654 + 0.250708i −0.694264 0.719720i \(-0.744270\pi\)
−0.241390 + 0.970428i \(0.577603\pi\)
\(12\) −3.01744 1.45884i −0.871061 0.421131i
\(13\) −3.47296 0.968803i −0.963225 0.268698i
\(14\) 0.199953 + 0.643978i 0.0534398 + 0.172110i
\(15\) 4.78643 + 0.913262i 1.23585 + 0.235803i
\(16\) 1.80724 + 3.13024i 0.451811 + 0.782559i
\(17\) 3.96062 6.86000i 0.960592 1.66379i 0.239574 0.970878i \(-0.422992\pi\)
0.721018 0.692916i \(-0.243674\pi\)
\(18\) 0.759517 + 0.0879420i 0.179020 + 0.0207281i
\(19\) −0.0189720 + 0.0708044i −0.00435247 + 0.0162437i −0.968068 0.250688i \(-0.919343\pi\)
0.963715 + 0.266932i \(0.0860098\pi\)
\(20\) −3.84939 3.84939i −0.860749 0.860749i
\(21\) 2.72242 + 3.68625i 0.594080 + 0.804406i
\(22\) −0.818797 −0.174568
\(23\) 1.44544 + 2.50358i 0.301395 + 0.522032i 0.976452 0.215734i \(-0.0692143\pi\)
−0.675057 + 0.737766i \(0.735881\pi\)
\(24\) −1.31491 1.13509i −0.268405 0.231700i
\(25\) 2.52416 + 1.45732i 0.504832 + 0.291465i
\(26\) −0.791065 0.467588i −0.155141 0.0917016i
\(27\) 5.07115 1.13288i 0.975943 0.218024i
\(28\) −0.200944 5.11570i −0.0379749 0.966777i
\(29\) 0.0351243i 0.00652242i 0.999995 + 0.00326121i \(0.00103808\pi\)
−0.999995 + 0.00326121i \(0.998962\pi\)
\(30\) 1.11808 + 0.540557i 0.204132 + 0.0986917i
\(31\) −8.23449 + 2.20642i −1.47896 + 0.396286i −0.905992 0.423294i \(-0.860874\pi\)
−0.572966 + 0.819579i \(0.694207\pi\)
\(32\) 0.757564 + 2.82727i 0.133920 + 0.499795i
\(33\) −5.25509 + 1.82977i −0.914793 + 0.318523i
\(34\) 1.42753 1.42753i 0.244820 0.244820i
\(35\) 2.20717 + 7.10851i 0.373080 + 1.20156i
\(36\) −5.39730 2.13745i −0.899550 0.356242i
\(37\) −8.86476 2.37531i −1.45736 0.390498i −0.558781 0.829315i \(-0.688731\pi\)
−0.898576 + 0.438817i \(0.855398\pi\)
\(38\) −0.00934103 + 0.0161791i −0.00151532 + 0.00262460i
\(39\) −6.12203 1.23321i −0.980309 0.197471i
\(40\) −1.41073 2.44345i −0.223056 0.386344i
\(41\) −1.39282 + 1.39282i −0.217522 + 0.217522i −0.807453 0.589931i \(-0.799155\pi\)
0.589931 + 0.807453i \(0.299155\pi\)
\(42\) 0.427045 + 1.08706i 0.0658945 + 0.167737i
\(43\) 0.378909i 0.0577831i −0.999583 0.0288916i \(-0.990802\pi\)
0.999583 0.0288916i \(-0.00919775\pi\)
\(44\) 6.00486 + 1.60900i 0.905266 + 0.242565i
\(45\) 8.38388 + 0.970742i 1.24980 + 0.144710i
\(46\) 0.190693 + 0.711676i 0.0281162 + 0.104931i
\(47\) −0.516348 + 1.92704i −0.0753171 + 0.281087i −0.993305 0.115521i \(-0.963146\pi\)
0.917988 + 0.396608i \(0.129813\pi\)
\(48\) 3.51870 + 5.17806i 0.507880 + 0.747388i
\(49\) −3.01371 + 6.31804i −0.430529 + 0.902577i
\(50\) 0.525266 + 0.525266i 0.0742838 + 0.0742838i
\(51\) 5.97187 12.3521i 0.836230 1.72964i
\(52\) 4.88263 + 4.98368i 0.677099 + 0.691112i
\(53\) −5.88649 3.39856i −0.808571 0.466829i 0.0378884 0.999282i \(-0.487937\pi\)
−0.846459 + 0.532453i \(0.821270\pi\)
\(54\) 1.32314 + 0.0556184i 0.180057 + 0.00756871i
\(55\) −9.03824 −1.21872
\(56\) 0.585631 2.58799i 0.0782582 0.345835i
\(57\) −0.0237956 + 0.124713i −0.00315180 + 0.0165187i
\(58\) −0.00231692 + 0.00864688i −0.000304227 + 0.00113539i
\(59\) 8.27883 2.21831i 1.07781 0.288799i 0.324113 0.946018i \(-0.394934\pi\)
0.753699 + 0.657219i \(0.228268\pi\)
\(60\) −7.13748 6.16142i −0.921445 0.795436i
\(61\) −4.83406 8.37284i −0.618938 1.07203i −0.989680 0.143297i \(-0.954230\pi\)
0.370741 0.928736i \(-0.379104\pi\)
\(62\) −2.17271 −0.275934
\(63\) 5.17006 + 6.02249i 0.651367 + 0.758763i
\(64\) 6.48298i 0.810373i
\(65\) −8.73212 5.16144i −1.08309 0.640198i
\(66\) −1.41439 + 0.103809i −0.174100 + 0.0127779i
\(67\) −4.85879 + 1.30191i −0.593595 + 0.159053i −0.543096 0.839671i \(-0.682748\pi\)
−0.0504994 + 0.998724i \(0.516081\pi\)
\(68\) −13.2744 + 7.66398i −1.60976 + 0.929394i
\(69\) 2.81427 + 4.14143i 0.338798 + 0.498570i
\(70\) 0.0744576 + 1.89556i 0.00889938 + 0.226563i
\(71\) 1.74479 1.74479i 0.207068 0.207068i −0.595952 0.803020i \(-0.703225\pi\)
0.803020 + 0.595952i \(0.203225\pi\)
\(72\) −2.41529 1.79406i −0.284645 0.211432i
\(73\) 2.08150 + 7.76825i 0.243621 + 0.909205i 0.974072 + 0.226240i \(0.0726433\pi\)
−0.730451 + 0.682965i \(0.760690\pi\)
\(74\) −2.02564 1.16950i −0.235476 0.135952i
\(75\) 4.54500 + 2.19737i 0.524812 + 0.253730i
\(76\) 0.100298 0.100298i 0.0115050 0.0115050i
\(77\) −6.24166 5.76984i −0.711303 0.657535i
\(78\) −1.42577 0.707422i −0.161437 0.0800997i
\(79\) 3.79033 + 6.56505i 0.426446 + 0.738626i 0.996554 0.0829437i \(-0.0264322\pi\)
−0.570108 + 0.821569i \(0.693099\pi\)
\(80\) 2.63183 + 9.82214i 0.294248 + 1.09815i
\(81\) 8.61630 2.59988i 0.957367 0.288875i
\(82\) −0.434759 + 0.251008i −0.0480111 + 0.0277192i
\(83\) 3.46542 3.46542i 0.380379 0.380379i −0.490860 0.871239i \(-0.663317\pi\)
0.871239 + 0.490860i \(0.163317\pi\)
\(84\) −0.995690 8.81141i −0.108639 0.961404i
\(85\) 15.7578 15.7578i 1.70917 1.70917i
\(86\) 0.0249942 0.0932797i 0.00269520 0.0100586i
\(87\) 0.00445312 + 0.0606738i 0.000477424 + 0.00650492i
\(88\) 2.79034 + 1.61100i 0.297451 + 0.171733i
\(89\) −3.92087 + 14.6329i −0.415611 + 1.55108i 0.367997 + 0.929827i \(0.380044\pi\)
−0.783608 + 0.621255i \(0.786623\pi\)
\(90\) 1.99991 + 0.792008i 0.210809 + 0.0834850i
\(91\) −2.73529 9.13883i −0.286736 0.958010i
\(92\) 5.59398i 0.583213i
\(93\) −13.9446 + 4.85537i −1.44598 + 0.503479i
\(94\) −0.254229 + 0.440337i −0.0262217 + 0.0454173i
\(95\) −0.103110 + 0.178592i −0.0105789 + 0.0183232i
\(96\) 1.66707 + 4.78779i 0.170144 + 0.488652i
\(97\) 0.107635 + 0.107635i 0.0109287 + 0.0109287i 0.712550 0.701621i \(-0.247540\pi\)
−0.701621 + 0.712550i \(0.747540\pi\)
\(98\) −1.15867 + 1.35658i −0.117044 + 0.137035i
\(99\) −8.84568 + 3.82701i −0.889024 + 0.384629i
\(100\) −2.81999 4.88436i −0.281999 0.488436i
\(101\) −4.49533 + 7.78613i −0.447302 + 0.774749i −0.998209 0.0598169i \(-0.980948\pi\)
0.550908 + 0.834566i \(0.314282\pi\)
\(102\) 2.28494 2.64692i 0.226243 0.262084i
\(103\) −4.35494 + 2.51432i −0.429105 + 0.247744i −0.698965 0.715156i \(-0.746356\pi\)
0.269860 + 0.962899i \(0.413022\pi\)
\(104\) 1.77584 + 3.14991i 0.174135 + 0.308874i
\(105\) 4.71391 + 11.9994i 0.460030 + 1.17103i
\(106\) −1.22495 1.22495i −0.118978 0.118978i
\(107\) 2.16952 1.25257i 0.209735 0.121091i −0.391453 0.920198i \(-0.628028\pi\)
0.601188 + 0.799107i \(0.294694\pi\)
\(108\) −9.59431 3.00797i −0.923213 0.289442i
\(109\) 12.6799 3.39756i 1.21451 0.325427i 0.405980 0.913882i \(-0.366930\pi\)
0.808530 + 0.588455i \(0.200264\pi\)
\(110\) −2.22503 0.596195i −0.212148 0.0568450i
\(111\) −15.6142 2.97922i −1.48203 0.282775i
\(112\) −4.45277 + 8.46312i −0.420747 + 0.799690i
\(113\) 7.91460i 0.744543i −0.928124 0.372272i \(-0.878579\pi\)
0.928124 0.372272i \(-0.121421\pi\)
\(114\) −0.0140845 + 0.0291322i −0.00131914 + 0.00272848i
\(115\) 2.10495 + 7.85579i 0.196288 + 0.732556i
\(116\) 0.0339835 0.0588612i 0.00315529 0.00546512i
\(117\) −10.7316 1.35409i −0.992133 0.125185i
\(118\) 2.18441 0.201091
\(119\) 20.9415 0.822580i 1.91970 0.0754058i
\(120\) −2.74669 4.04198i −0.250737 0.368981i
\(121\) −0.587739 + 0.339331i −0.0534308 + 0.0308483i
\(122\) −0.637745 2.38010i −0.0577387 0.215484i
\(123\) −2.22938 + 2.58255i −0.201016 + 0.232860i
\(124\) 15.9341 + 4.26953i 1.43092 + 0.383415i
\(125\) −4.14840 4.14840i −0.371044 0.371044i
\(126\) 0.875499 + 1.82365i 0.0779956 + 0.162464i
\(127\) 2.97209i 0.263730i −0.991268 0.131865i \(-0.957903\pi\)
0.991268 0.131865i \(-0.0420966\pi\)
\(128\) 1.94277 7.25051i 0.171718 0.640861i
\(129\) −0.0480388 0.654530i −0.00422958 0.0576281i
\(130\) −1.80920 1.84664i −0.158678 0.161961i
\(131\) 13.0495 7.53413i 1.14014 0.658260i 0.193675 0.981066i \(-0.437959\pi\)
0.946465 + 0.322806i \(0.104626\pi\)
\(132\) 10.5768 + 2.01808i 0.920593 + 0.175651i
\(133\) −0.185216 + 0.0575092i −0.0160603 + 0.00498668i
\(134\) −1.28201 −0.110749
\(135\) 14.6054 + 0.613941i 1.25704 + 0.0528396i
\(136\) −7.67353 + 2.05612i −0.658000 + 0.176310i
\(137\) 13.7675 3.68900i 1.17624 0.315173i 0.382807 0.923829i \(-0.374958\pi\)
0.793434 + 0.608656i \(0.208291\pi\)
\(138\) 0.419632 + 1.20518i 0.0357214 + 0.102591i
\(139\) 16.5108 1.40042 0.700212 0.713935i \(-0.253089\pi\)
0.700212 + 0.713935i \(0.253089\pi\)
\(140\) 3.17887 14.0479i 0.268663 1.18727i
\(141\) −0.647629 + 3.39424i −0.0545402 + 0.285846i
\(142\) 0.544624 0.314439i 0.0457038 0.0263871i
\(143\) 11.5829 + 0.118628i 0.968610 + 0.00992019i
\(144\) 6.73470 + 8.49850i 0.561225 + 0.708208i
\(145\) −0.0255752 + 0.0954480i −0.00212391 + 0.00792653i
\(146\) 2.04969i 0.169633i
\(147\) −4.40488 + 11.2959i −0.363308 + 0.931669i
\(148\) 12.5574 + 12.5574i 1.03221 + 1.03221i
\(149\) 9.06680 + 2.42944i 0.742781 + 0.199028i 0.610314 0.792160i \(-0.291043\pi\)
0.132467 + 0.991187i \(0.457710\pi\)
\(150\) 0.973941 + 0.840753i 0.0795219 + 0.0686472i
\(151\) −2.42619 9.05465i −0.197440 0.736857i −0.991622 0.129176i \(-0.958767\pi\)
0.794181 0.607681i \(-0.207900\pi\)
\(152\) 0.0636657 0.0367574i 0.00516397 0.00298142i
\(153\) 8.74982 22.0942i 0.707381 1.78621i
\(154\) −1.15597 1.83214i −0.0931506 0.147638i
\(155\) −23.9833 −1.92638
\(156\) 9.06612 + 7.98980i 0.725871 + 0.639696i
\(157\) 1.34007 2.32108i 0.106950 0.185242i −0.807583 0.589753i \(-0.799225\pi\)
0.914533 + 0.404511i \(0.132558\pi\)
\(158\) 0.500048 + 1.86621i 0.0397817 + 0.148467i
\(159\) −10.5992 5.12440i −0.840573 0.406391i
\(160\) 8.23453i 0.650997i
\(161\) −3.56135 + 6.76884i −0.280673 + 0.533459i
\(162\) 2.29265 0.0716749i 0.180128 0.00563131i
\(163\) −2.23644 0.599253i −0.175172 0.0469372i 0.170167 0.985415i \(-0.445569\pi\)
−0.345339 + 0.938478i \(0.612236\pi\)
\(164\) 3.68167 0.986500i 0.287490 0.0770327i
\(165\) −15.6127 + 1.14588i −1.21545 + 0.0892069i
\(166\) 1.08171 0.624523i 0.0839567 0.0484724i
\(167\) 13.5165 + 13.5165i 1.04594 + 1.04594i 0.998893 + 0.0470461i \(0.0149808\pi\)
0.0470461 + 0.998893i \(0.485019\pi\)
\(168\) 0.683511 4.54476i 0.0527340 0.350636i
\(169\) 11.1228 + 6.72922i 0.855603 + 0.517632i
\(170\) 4.91867 2.83980i 0.377245 0.217803i
\(171\) −0.0252933 + 0.218447i −0.00193422 + 0.0167051i
\(172\) −0.366603 + 0.634975i −0.0279532 + 0.0484164i
\(173\) 8.51466 + 14.7478i 0.647358 + 1.12126i 0.983752 + 0.179535i \(0.0574594\pi\)
−0.336394 + 0.941721i \(0.609207\pi\)
\(174\) −0.00290600 + 0.0152304i −0.000220303 + 0.00115461i
\(175\) 0.302671 + 7.70549i 0.0228798 + 0.582480i
\(176\) −8.21107 8.21107i −0.618932 0.618932i
\(177\) 14.0197 4.88152i 1.05378 0.366917i
\(178\) −1.93048 + 3.34368i −0.144695 + 0.250619i
\(179\) 6.29452 10.9024i 0.470474 0.814886i −0.528955 0.848650i \(-0.677416\pi\)
0.999430 + 0.0337640i \(0.0107494\pi\)
\(180\) −13.1105 9.73836i −0.977197 0.725854i
\(181\) 11.8729i 0.882509i −0.897382 0.441255i \(-0.854534\pi\)
0.897382 0.441255i \(-0.145466\pi\)
\(182\) −0.0705410 2.43022i −0.00522885 0.180140i
\(183\) −9.41191 13.8504i −0.695748 1.02385i
\(184\) 0.750386 2.80048i 0.0553192 0.206454i
\(185\) −22.3599 12.9095i −1.64393 0.949124i
\(186\) −3.75314 + 0.275460i −0.275194 + 0.0201977i
\(187\) −6.58654 + 24.5813i −0.481656 + 1.79756i
\(188\) 2.72975 2.72975i 0.199087 0.199087i
\(189\) 9.69434 + 9.74781i 0.705159 + 0.709049i
\(190\) −0.0371643 + 0.0371643i −0.00269618 + 0.00269618i
\(191\) −18.3898 + 10.6174i −1.33064 + 0.768246i −0.985398 0.170267i \(-0.945537\pi\)
−0.345243 + 0.938513i \(0.612203\pi\)
\(192\) −0.821924 11.1987i −0.0593173 0.808199i
\(193\) −1.57794 5.88894i −0.113582 0.423895i 0.885595 0.464459i \(-0.153751\pi\)
−0.999177 + 0.0405640i \(0.987085\pi\)
\(194\) 0.0193976 + 0.0335976i 0.00139266 + 0.00241217i
\(195\) −15.7383 7.80883i −1.12704 0.559202i
\(196\) 11.1632 7.67192i 0.797372 0.547994i
\(197\) 3.24256 3.24256i 0.231023 0.231023i −0.582097 0.813120i \(-0.697767\pi\)
0.813120 + 0.582097i \(0.197767\pi\)
\(198\) −2.43007 + 0.358639i −0.172697 + 0.0254873i
\(199\) 0.250546 + 0.144653i 0.0177607 + 0.0102542i 0.508854 0.860853i \(-0.330069\pi\)
−0.491093 + 0.871107i \(0.663403\pi\)
\(200\) −0.756554 2.82350i −0.0534965 0.199652i
\(201\) −8.22803 + 2.86493i −0.580361 + 0.202076i
\(202\) −1.62026 + 1.62026i −0.114001 + 0.114001i
\(203\) −0.0785941 + 0.0495881i −0.00551622 + 0.00348040i
\(204\) −21.9586 + 14.9217i −1.53741 + 1.04473i
\(205\) −4.79906 + 2.77074i −0.335181 + 0.193517i
\(206\) −1.23795 + 0.331708i −0.0862521 + 0.0231112i
\(207\) 5.38644 + 6.79714i 0.374383 + 0.472434i
\(208\) −3.24389 12.6220i −0.224923 0.875181i
\(209\) 0.235497i 0.0162896i
\(210\) 0.368941 + 3.26496i 0.0254594 + 0.225304i
\(211\) 0.580776 0.0399822 0.0199911 0.999800i \(-0.493636\pi\)
0.0199911 + 0.999800i \(0.493636\pi\)
\(212\) 6.57637 + 11.3906i 0.451667 + 0.782310i
\(213\) 2.79275 3.23516i 0.191356 0.221670i
\(214\) 0.616715 0.165248i 0.0421577 0.0112961i
\(215\) 0.275897 1.02966i 0.0188160 0.0702224i
\(216\) −4.39964 2.79285i −0.299358 0.190030i
\(217\) −16.5625 15.3105i −1.12433 1.03934i
\(218\) 3.34564 0.226595
\(219\) 4.58046 + 13.1550i 0.309519 + 0.888933i
\(220\) 15.1463 + 8.74470i 1.02116 + 0.589567i
\(221\) −20.4011 + 19.9874i −1.37232 + 1.34450i
\(222\) −3.64737 1.76339i −0.244795 0.118351i
\(223\) −0.0823082 0.0823082i −0.00551176 0.00551176i 0.704346 0.709857i \(-0.251241\pi\)
−0.709857 + 0.704346i \(0.751241\pi\)
\(224\) −5.25677 + 5.68663i −0.351233 + 0.379954i
\(225\) 8.12965 + 3.21952i 0.541977 + 0.214635i
\(226\) 0.522076 1.94841i 0.0347280 0.129607i
\(227\) 1.82108 + 6.79638i 0.120870 + 0.451091i 0.999659 0.0261186i \(-0.00831475\pi\)
−0.878789 + 0.477210i \(0.841648\pi\)
\(228\) 0.160539 0.185971i 0.0106320 0.0123163i
\(229\) 2.32688 + 0.623485i 0.153764 + 0.0412010i 0.334880 0.942261i \(-0.391304\pi\)
−0.181116 + 0.983462i \(0.557971\pi\)
\(230\) 2.07279i 0.136675i
\(231\) −11.5134 9.17553i −0.757524 0.603705i
\(232\) 0.0249087 0.0249087i 0.00163533 0.00163533i
\(233\) −11.7794 20.4025i −0.771693 1.33661i −0.936635 0.350308i \(-0.886077\pi\)
0.164942 0.986303i \(-0.447256\pi\)
\(234\) −2.55257 1.04124i −0.166867 0.0680681i
\(235\) −2.80629 + 4.86063i −0.183062 + 0.317073i
\(236\) −16.0199 4.29252i −1.04281 0.279419i
\(237\) 7.37977 + 10.8600i 0.479367 + 0.705430i
\(238\) 5.20963 + 1.17887i 0.337690 + 0.0764151i
\(239\) 1.35327 1.35327i 0.0875359 0.0875359i −0.661983 0.749519i \(-0.730285\pi\)
0.749519 + 0.661983i \(0.230285\pi\)
\(240\) 5.79151 + 16.6331i 0.373840 + 1.07366i
\(241\) −4.54834 16.9746i −0.292984 1.09343i −0.942805 0.333345i \(-0.891823\pi\)
0.649820 0.760088i \(-0.274844\pi\)
\(242\) −0.167073 + 0.0447671i −0.0107399 + 0.00287774i
\(243\) 14.5542 5.58343i 0.933654 0.358177i
\(244\) 18.7083i 1.19767i
\(245\) −12.7899 + 14.9745i −0.817119 + 0.956685i
\(246\) −0.719182 + 0.488713i −0.0458534 + 0.0311592i
\(247\) 0.134484 0.227521i 0.00855704 0.0144768i
\(248\) 7.40426 + 4.27485i 0.470171 + 0.271453i
\(249\) 5.54682 6.42553i 0.351516 0.407201i
\(250\) −0.747607 1.29489i −0.0472828 0.0818963i
\(251\) −21.1871 −1.33732 −0.668659 0.743569i \(-0.733131\pi\)
−0.668659 + 0.743569i \(0.733131\pi\)
\(252\) −2.83709 15.0946i −0.178720 0.950873i
\(253\) −6.56725 6.56725i −0.412879 0.412879i
\(254\) 0.196050 0.731668i 0.0123013 0.0459090i
\(255\) 25.2222 29.2178i 1.57948 1.82969i
\(256\) −5.52644 + 9.57208i −0.345403 + 0.598255i
\(257\) −8.39438 14.5395i −0.523627 0.906949i −0.999622 0.0275005i \(-0.991245\pi\)
0.475995 0.879448i \(-0.342088\pi\)
\(258\) 0.0313490 0.164301i 0.00195170 0.0102289i
\(259\) −7.20018 23.1892i −0.447398 1.44091i
\(260\) 9.63945 + 17.0981i 0.597814 + 1.06038i
\(261\) 0.0153847 + 0.104244i 0.000952287 + 0.00645252i
\(262\) 3.70950 0.993957i 0.229174 0.0614069i
\(263\) 23.2847 + 13.4435i 1.43580 + 0.828959i 0.997554 0.0698972i \(-0.0222671\pi\)
0.438244 + 0.898856i \(0.355600\pi\)
\(264\) 5.02428 + 2.42909i 0.309223 + 0.149500i
\(265\) −13.5215 13.5215i −0.830622 0.830622i
\(266\) −0.0493900 + 0.00194004i −0.00302830 + 0.000118951i
\(267\) −4.91774 + 25.7740i −0.300961 + 1.57734i
\(268\) 9.40197 + 2.51925i 0.574317 + 0.153888i
\(269\) −15.2291 8.79254i −0.928536 0.536091i −0.0421879 0.999110i \(-0.513433\pi\)
−0.886348 + 0.463019i \(0.846766\pi\)
\(270\) 3.55506 + 1.11457i 0.216354 + 0.0678304i
\(271\) 9.54880 + 2.55859i 0.580048 + 0.155424i 0.536901 0.843645i \(-0.319595\pi\)
0.0431474 + 0.999069i \(0.486261\pi\)
\(272\) 28.6312 1.73602
\(273\) −5.88358 15.4397i −0.356091 0.934451i
\(274\) 3.63263 0.219455
\(275\) −9.04477 2.42354i −0.545420 0.146145i
\(276\) −0.709215 9.66307i −0.0426897 0.581649i
\(277\) 6.45680 + 3.72783i 0.387951 + 0.223984i 0.681272 0.732030i \(-0.261427\pi\)
−0.293321 + 0.956014i \(0.594760\pi\)
\(278\) 4.06461 + 1.08911i 0.243779 + 0.0653205i
\(279\) −23.4723 + 10.1551i −1.40525 + 0.607970i
\(280\) 3.47582 6.60629i 0.207720 0.394801i
\(281\) 16.7345 + 16.7345i 0.998296 + 0.998296i 0.999999 0.00170209i \(-0.000541793\pi\)
−0.00170209 + 0.999999i \(0.500542\pi\)
\(282\) −0.383329 + 0.792872i −0.0228269 + 0.0472148i
\(283\) 21.7494 + 12.5570i 1.29287 + 0.746438i 0.979162 0.203082i \(-0.0650957\pi\)
0.313707 + 0.949520i \(0.398429\pi\)
\(284\) −4.61203 + 1.23579i −0.273674 + 0.0733307i
\(285\) −0.155471 + 0.321574i −0.00920931 + 0.0190484i
\(286\) 2.84365 + 0.793253i 0.168148 + 0.0469060i
\(287\) −5.08294 1.15021i −0.300036 0.0678945i
\(288\) 3.48670 + 8.05910i 0.205456 + 0.474887i
\(289\) −22.8731 39.6173i −1.34547 2.33043i
\(290\) −0.0125922 + 0.0218103i −0.000739439 + 0.00128075i
\(291\) 0.199576 + 0.172283i 0.0116993 + 0.0100994i
\(292\) 4.02779 15.0319i 0.235708 0.879676i
\(293\) −8.13360 8.13360i −0.475170 0.475170i 0.428413 0.903583i \(-0.359073\pi\)
−0.903583 + 0.428413i \(0.859073\pi\)
\(294\) −1.82951 + 2.49026i −0.106699 + 0.145235i
\(295\) 24.1124 1.40388
\(296\) 4.60205 + 7.97098i 0.267489 + 0.463304i
\(297\) −14.7949 + 7.73226i −0.858485 + 0.448671i
\(298\) 2.07181 + 1.19616i 0.120017 + 0.0692916i
\(299\) −2.59448 10.0952i −0.150043 0.583818i
\(300\) −5.49050 8.07974i −0.316994 0.466484i
\(301\) 0.847847 0.534940i 0.0488691 0.0308334i
\(302\) 2.38911i 0.137478i
\(303\) −6.77811 + 14.0197i −0.389392 + 0.805412i
\(304\) −0.255922 + 0.0685740i −0.0146781 + 0.00393299i
\(305\) −7.03970 26.2725i −0.403092 1.50436i
\(306\) 3.61144 4.86198i 0.206452 0.277941i
\(307\) −14.1383 + 14.1383i −0.806918 + 0.806918i −0.984166 0.177248i \(-0.943280\pi\)
0.177248 + 0.984166i \(0.443280\pi\)
\(308\) 4.87730 + 15.7080i 0.277910 + 0.895048i
\(309\) −7.20397 + 4.89538i −0.409819 + 0.278488i
\(310\) −5.90420 1.58202i −0.335336 0.0898530i
\(311\) −10.1078 + 17.5072i −0.573160 + 0.992743i 0.423078 + 0.906093i \(0.360950\pi\)
−0.996239 + 0.0866500i \(0.972384\pi\)
\(312\) 3.46694 + 5.21602i 0.196277 + 0.295299i
\(313\) 13.0051 + 22.5254i 0.735090 + 1.27321i 0.954684 + 0.297621i \(0.0961933\pi\)
−0.219594 + 0.975591i \(0.570473\pi\)
\(314\) 0.483006 0.483006i 0.0272576 0.0272576i
\(315\) 9.66414 + 20.1303i 0.544512 + 1.13421i
\(316\) 14.6689i 0.825192i
\(317\) 6.64679 + 1.78100i 0.373321 + 0.100031i 0.440601 0.897703i \(-0.354765\pi\)
−0.0672799 + 0.997734i \(0.521432\pi\)
\(318\) −2.27129 1.96068i −0.127367 0.109950i
\(319\) −0.0292060 0.108998i −0.00163522 0.00610273i
\(320\) 4.72049 17.6171i 0.263883 0.984826i
\(321\) 3.58883 2.43875i 0.200309 0.136118i
\(322\) −1.32323 + 1.43143i −0.0737406 + 0.0797705i
\(323\) 0.410577 + 0.410577i 0.0228451 + 0.0228451i
\(324\) −16.9546 3.97959i −0.941923 0.221088i
\(325\) −7.35443 7.50663i −0.407950 0.416393i
\(326\) −0.511038 0.295048i −0.0283038 0.0163412i
\(327\) 21.4725 7.47653i 1.18743 0.413453i
\(328\) 1.97546 0.109076
\(329\) −5.04091 + 1.56519i −0.277915 + 0.0862917i
\(330\) −3.91911 0.747777i −0.215740 0.0411637i
\(331\) −2.93997 + 10.9721i −0.161595 + 0.603082i 0.836855 + 0.547425i \(0.184392\pi\)
−0.998450 + 0.0556568i \(0.982275\pi\)
\(332\) −9.16020 + 2.45447i −0.502731 + 0.134706i
\(333\) −27.3497 3.16673i −1.49875 0.173536i
\(334\) 2.43589 + 4.21909i 0.133286 + 0.230858i
\(335\) −14.1514 −0.773174
\(336\) −6.61877 + 15.1838i −0.361083 + 0.828342i
\(337\) 0.687884i 0.0374714i −0.999824 0.0187357i \(-0.994036\pi\)
0.999824 0.0187357i \(-0.00596411\pi\)
\(338\) 2.29433 + 2.39030i 0.124795 + 0.130015i
\(339\) −1.00343 13.6717i −0.0544987 0.742546i
\(340\) −41.6528 + 11.1608i −2.25894 + 0.605281i
\(341\) 23.7187 13.6940i 1.28444 0.741573i
\(342\) −0.0206362 + 0.0521088i −0.00111588 + 0.00281772i
\(343\) −18.3920 + 2.17626i −0.993072 + 0.117507i
\(344\) −0.268706 + 0.268706i −0.0144877 + 0.0144877i
\(345\) 4.63208 + 13.3033i 0.249383 + 0.716223i
\(346\) 1.12332 + 4.19227i 0.0603899 + 0.225378i
\(347\) 1.84737 + 1.06658i 0.0991719 + 0.0572569i 0.548766 0.835976i \(-0.315098\pi\)
−0.449594 + 0.893233i \(0.648431\pi\)
\(348\) 0.0512408 0.105986i 0.00274679 0.00568142i
\(349\) −18.9392 + 18.9392i −1.01379 + 1.01379i −0.0138872 + 0.999904i \(0.504421\pi\)
−0.999904 + 0.0138872i \(0.995579\pi\)
\(350\) −0.433771 + 1.91690i −0.0231860 + 0.102463i
\(351\) −18.7094 0.978490i −0.998635 0.0522279i
\(352\) −4.70177 8.14370i −0.250605 0.434061i
\(353\) −3.14604 11.7412i −0.167447 0.624920i −0.997715 0.0675566i \(-0.978480\pi\)
0.830269 0.557363i \(-0.188187\pi\)
\(354\) 3.77335 0.276943i 0.200552 0.0147194i
\(355\) 6.01179 3.47091i 0.319073 0.184217i
\(356\) 20.7282 20.7282i 1.09859 1.09859i
\(357\) 36.0701 4.07593i 1.90903 0.215721i
\(358\) 2.26875 2.26875i 0.119907 0.119907i
\(359\) −1.51841 + 5.66678i −0.0801385 + 0.299081i −0.994349 0.106158i \(-0.966145\pi\)
0.914211 + 0.405239i \(0.132812\pi\)
\(360\) −5.25709 6.63391i −0.277073 0.349638i
\(361\) 16.4498 + 9.49731i 0.865780 + 0.499859i
\(362\) 0.783183 2.92288i 0.0411632 0.153623i
\(363\) −0.972242 + 0.660677i −0.0510295 + 0.0346766i
\(364\) −4.25824 + 17.9613i −0.223192 + 0.941427i
\(365\) 22.6253i 1.18426i
\(366\) −1.40340 4.03053i −0.0733567 0.210679i
\(367\) −15.9432 + 27.6144i −0.832228 + 1.44146i 0.0640399 + 0.997947i \(0.479602\pi\)
−0.896268 + 0.443513i \(0.853732\pi\)
\(368\) −5.22453 + 9.04914i −0.272347 + 0.471719i
\(369\) −3.52362 + 4.74375i −0.183432 + 0.246950i
\(370\) −4.65299 4.65299i −0.241897 0.241897i
\(371\) −0.705847 17.9697i −0.0366457 0.932938i
\(372\) 28.0659 + 5.35505i 1.45515 + 0.277647i
\(373\) 4.21830 + 7.30631i 0.218415 + 0.378307i 0.954324 0.298775i \(-0.0965779\pi\)
−0.735908 + 0.677081i \(0.763245\pi\)
\(374\) −3.24295 + 5.61695i −0.167689 + 0.290445i
\(375\) −7.69190 6.64002i −0.397208 0.342889i
\(376\) 1.73275 1.00040i 0.0893596 0.0515918i
\(377\) 0.0340285 0.121985i 0.00175256 0.00628255i
\(378\) 1.74355 + 3.03919i 0.0896784 + 0.156319i
\(379\) −9.76263 9.76263i −0.501473 0.501473i 0.410423 0.911895i \(-0.365381\pi\)
−0.911895 + 0.410423i \(0.865381\pi\)
\(380\) 0.345584 0.199523i 0.0177281 0.0102353i
\(381\) −0.376807 5.13400i −0.0193044 0.263023i
\(382\) −5.22756 + 1.40072i −0.267465 + 0.0716671i
\(383\) −4.70284 1.26012i −0.240304 0.0643892i 0.136657 0.990618i \(-0.456364\pi\)
−0.376961 + 0.926229i \(0.623031\pi\)
\(384\) 2.43672 12.7709i 0.124348 0.651711i
\(385\) −12.7601 20.2240i −0.650314 1.03071i
\(386\) 1.55382i 0.0790875i
\(387\) −0.165965 1.12455i −0.00843647 0.0571639i
\(388\) −0.0762353 0.284514i −0.00387026 0.0144440i
\(389\) 12.7346 22.0570i 0.645670 1.11833i −0.338476 0.940975i \(-0.609912\pi\)
0.984146 0.177358i \(-0.0567551\pi\)
\(390\) −3.35934 2.96053i −0.170107 0.149912i
\(391\) 22.8994 1.15807
\(392\) 6.61768 2.34329i 0.334243 0.118354i
\(393\) 21.5866 14.6689i 1.08890 0.739950i
\(394\) 1.01214 0.584362i 0.0509911 0.0294397i
\(395\) 5.51975 + 20.6000i 0.277729 + 1.03650i
\(396\) 18.5263 + 2.14510i 0.930981 + 0.107795i
\(397\) 4.20331 + 1.12627i 0.210958 + 0.0565260i 0.362750 0.931886i \(-0.381838\pi\)
−0.151792 + 0.988412i \(0.548504\pi\)
\(398\) 0.0521374 + 0.0521374i 0.00261341 + 0.00261341i
\(399\) −0.312653 + 0.122824i −0.0156522 + 0.00614887i
\(400\) 10.5350i 0.526748i
\(401\) 8.64026 32.2459i 0.431474 1.61028i −0.317891 0.948127i \(-0.602975\pi\)
0.749366 0.662156i \(-0.230359\pi\)
\(402\) −2.21455 + 0.162536i −0.110452 + 0.00810655i
\(403\) 30.7356 + 0.314784i 1.53105 + 0.0156805i
\(404\) 15.0665 8.69866i 0.749587 0.432774i
\(405\) 25.3073 0.791178i 1.25753 0.0393140i
\(406\) −0.0226193 + 0.00702322i −0.00112258 + 0.000348556i
\(407\) 29.4843 1.46148
\(408\) −12.9946 + 4.52461i −0.643329 + 0.224001i
\(409\) −7.41551 + 1.98698i −0.366674 + 0.0982499i −0.437451 0.899242i \(-0.644119\pi\)
0.0707774 + 0.997492i \(0.477452\pi\)
\(410\) −1.36420 + 0.365536i −0.0673730 + 0.0180525i
\(411\) 23.3144 8.11788i 1.15002 0.400425i
\(412\) 9.73066 0.479395
\(413\) 16.6516 + 15.3929i 0.819374 + 0.757437i
\(414\) 0.877668 + 2.02863i 0.0431350 + 0.0997015i
\(415\) 11.9403 6.89376i 0.586128 0.338401i
\(416\) 0.108080 10.5529i 0.00529903 0.517399i
\(417\) 28.5208 2.09326i 1.39667 0.102508i
\(418\) 0.0155342 0.0579745i 0.000759803 0.00283562i
\(419\) 18.1984i 0.889049i 0.895767 + 0.444525i \(0.146627\pi\)
−0.895767 + 0.444525i \(0.853373\pi\)
\(420\) 3.71017 24.6695i 0.181038 1.20375i
\(421\) −15.6859 15.6859i −0.764486 0.764486i 0.212644 0.977130i \(-0.431793\pi\)
−0.977130 + 0.212644i \(0.931793\pi\)
\(422\) 0.142975 + 0.0383101i 0.00695992 + 0.00186491i
\(423\) −0.688390 + 5.94533i −0.0334707 + 0.289072i
\(424\) 1.76433 + 6.58457i 0.0856834 + 0.319775i
\(425\) 19.9945 11.5438i 0.969875 0.559957i
\(426\) 0.900921 0.612211i 0.0436497 0.0296617i
\(427\) 11.9104 22.6374i 0.576385 1.09550i
\(428\) −4.84756 −0.234316
\(429\) 20.0234 1.26358i 0.966738 0.0610062i
\(430\) 0.135840 0.235283i 0.00655081 0.0113463i
\(431\) 0.978180 + 3.65062i 0.0471173 + 0.175844i 0.985475 0.169823i \(-0.0543195\pi\)
−0.938357 + 0.345667i \(0.887653\pi\)
\(432\) 12.7110 + 13.8265i 0.611558 + 0.665228i
\(433\) 11.0265i 0.529899i 0.964262 + 0.264949i \(0.0853553\pi\)
−0.964262 + 0.264949i \(0.914645\pi\)
\(434\) −3.06740 4.86165i −0.147240 0.233367i
\(435\) −0.0320777 + 0.168120i −0.00153801 + 0.00806073i
\(436\) −24.5361 6.57442i −1.17507 0.314858i
\(437\) −0.204687 + 0.0548458i −0.00979152 + 0.00262363i
\(438\) 0.259863 + 3.54064i 0.0124167 + 0.169178i
\(439\) −23.7490 + 13.7115i −1.13348 + 0.654415i −0.944808 0.327625i \(-0.893752\pi\)
−0.188672 + 0.982040i \(0.560418\pi\)
\(440\) 6.40954 + 6.40954i 0.305563 + 0.305563i
\(441\) −6.17689 + 20.0710i −0.294138 + 0.955763i
\(442\) −6.34077 + 3.57476i −0.301599 + 0.170034i
\(443\) −2.11034 + 1.21840i −0.100265 + 0.0578881i −0.549294 0.835629i \(-0.685103\pi\)
0.449029 + 0.893517i \(0.351770\pi\)
\(444\) 23.2837 + 20.0996i 1.10500 + 0.953886i
\(445\) −21.3094 + 36.9090i −1.01016 + 1.74965i
\(446\) −0.0148333 0.0256919i −0.000702375 0.00121655i
\(447\) 15.9700 + 3.04712i 0.755357 + 0.144124i
\(448\) 14.5063 9.15260i 0.685359 0.432420i
\(449\) 7.28361 + 7.28361i 0.343735 + 0.343735i 0.857770 0.514035i \(-0.171850\pi\)
−0.514035 + 0.857770i \(0.671850\pi\)
\(450\) 1.78898 + 1.32884i 0.0843334 + 0.0626422i
\(451\) 3.16408 5.48035i 0.148991 0.258060i
\(452\) −7.65756 + 13.2633i −0.360181 + 0.623852i
\(453\) −5.33897 15.3335i −0.250847 0.720429i
\(454\) 1.79325i 0.0841616i
\(455\) −0.778662 26.8259i −0.0365043 1.25762i
\(456\) 0.105316 0.0715665i 0.00493188 0.00335141i
\(457\) −1.35656 + 5.06276i −0.0634573 + 0.236826i −0.990369 0.138454i \(-0.955787\pi\)
0.926912 + 0.375280i \(0.122453\pi\)
\(458\) 0.531702 + 0.306979i 0.0248448 + 0.0143442i
\(459\) 12.3133 39.2750i 0.574737 1.83320i
\(460\) 4.07318 15.2013i 0.189913 0.708764i
\(461\) −23.7114 + 23.7114i −1.10435 + 1.10435i −0.110471 + 0.993879i \(0.535236\pi\)
−0.993879 + 0.110471i \(0.964764\pi\)
\(462\) −2.22911 3.01829i −0.103707 0.140424i
\(463\) −8.98248 + 8.98248i −0.417451 + 0.417451i −0.884324 0.466873i \(-0.845380\pi\)
0.466873 + 0.884324i \(0.345380\pi\)
\(464\) −0.109947 + 0.0634781i −0.00510418 + 0.00294690i
\(465\) −41.4288 + 3.04064i −1.92122 + 0.141006i
\(466\) −1.55402 5.79969i −0.0719886 0.268665i
\(467\) 5.44419 + 9.42961i 0.251927 + 0.436350i 0.964056 0.265698i \(-0.0856024\pi\)
−0.712129 + 0.702048i \(0.752269\pi\)
\(468\) 16.6738 + 12.6522i 0.770748 + 0.584848i
\(469\) −9.77273 9.03400i −0.451263 0.417151i
\(470\) −1.01148 + 1.01148i −0.0466559 + 0.0466559i
\(471\) 2.02058 4.17934i 0.0931034 0.192574i
\(472\) −7.44413 4.29787i −0.342644 0.197825i
\(473\) 0.315064 + 1.17584i 0.0144867 + 0.0540650i
\(474\) 1.10039 + 3.16029i 0.0505424 + 0.145157i
\(475\) −0.151073 + 0.151073i −0.00693172 + 0.00693172i
\(476\) −35.8896 18.8829i −1.64500 0.865496i
\(477\) −18.9588 7.50812i −0.868065 0.343773i
\(478\) 0.422415 0.243881i 0.0193208 0.0111549i
\(479\) 4.04474 1.08378i 0.184809 0.0495194i −0.165228 0.986255i \(-0.552836\pi\)
0.350036 + 0.936736i \(0.386169\pi\)
\(480\) 1.04399 + 14.2244i 0.0476513 + 0.649251i
\(481\) 28.4857 + 16.8375i 1.29884 + 0.767726i
\(482\) 4.47884i 0.204005i
\(483\) −5.29372 + 12.1440i −0.240873 + 0.552573i
\(484\) 1.31324 0.0596928
\(485\) 0.214119 + 0.370865i 0.00972263 + 0.0168401i
\(486\) 3.95126 0.414478i 0.179233 0.0188011i
\(487\) 1.50609 0.403555i 0.0682473 0.0182868i −0.224534 0.974466i \(-0.572086\pi\)
0.292781 + 0.956179i \(0.405419\pi\)
\(488\) −2.50955 + 9.36578i −0.113602 + 0.423969i
\(489\) −3.93922 0.751613i −0.178138 0.0339891i
\(490\) −4.13639 + 2.84274i −0.186863 + 0.128422i
\(491\) −11.7480 −0.530180 −0.265090 0.964224i \(-0.585402\pi\)
−0.265090 + 0.964224i \(0.585402\pi\)
\(492\) 6.23466 2.17085i 0.281080 0.0978696i
\(493\) 0.240953 + 0.139114i 0.0108520 + 0.00626538i
\(494\) 0.0481154 0.0471398i 0.00216481 0.00212092i
\(495\) −26.8242 + 3.95881i −1.20566 + 0.177935i
\(496\) −21.7884 21.7884i −0.978326 0.978326i
\(497\) 6.36741 + 1.44087i 0.285617 + 0.0646317i
\(498\) 1.78937 1.21595i 0.0801834 0.0544878i
\(499\) 4.09542 15.2843i 0.183336 0.684221i −0.811644 0.584152i \(-0.801427\pi\)
0.994981 0.100068i \(-0.0319062\pi\)
\(500\) 2.93821 + 10.9655i 0.131401 + 0.490394i
\(501\) 25.0621 + 21.6348i 1.11969 + 0.966573i
\(502\) −5.21583 1.39758i −0.232794 0.0623770i
\(503\) 22.3862i 0.998150i −0.866559 0.499075i \(-0.833673\pi\)
0.866559 0.499075i \(-0.166327\pi\)
\(504\) 0.604507 7.93729i 0.0269269 0.353555i
\(505\) −17.8851 + 17.8851i −0.795878 + 0.795878i
\(506\) −1.18352 2.04992i −0.0526140 0.0911301i
\(507\) 20.0668 + 10.2139i 0.891197 + 0.453616i
\(508\) −2.87556 + 4.98062i −0.127583 + 0.220979i
\(509\) −9.85480 2.64058i −0.436806 0.117042i 0.0337131 0.999432i \(-0.489267\pi\)
−0.470519 + 0.882390i \(0.655933\pi\)
\(510\) 8.13651 5.52908i 0.360291 0.244832i
\(511\) −14.4436 + 15.6247i −0.638947 + 0.691195i
\(512\) −12.6074 + 12.6074i −0.557173 + 0.557173i
\(513\) −0.0159966 + 0.380553i −0.000706266 + 0.0168018i
\(514\) −1.10745 4.13305i −0.0488474 0.182301i
\(515\) −13.6650 + 3.66153i −0.602153 + 0.161347i
\(516\) −0.552769 + 1.14334i −0.0243343 + 0.0503326i
\(517\) 6.40936i 0.281883i
\(518\) −0.242894 6.18366i −0.0106721 0.271694i
\(519\) 16.5780 + 24.3960i 0.727695 + 1.07086i
\(520\) 2.53217 + 9.85273i 0.111043 + 0.432071i
\(521\) −22.7900 13.1578i −0.998447 0.576454i −0.0906586 0.995882i \(-0.528897\pi\)
−0.907788 + 0.419428i \(0.862231\pi\)
\(522\) −0.00308890 + 0.0266775i −0.000135197 + 0.00116764i
\(523\) −1.99759 3.45993i −0.0873486 0.151292i 0.819041 0.573735i \(-0.194506\pi\)
−0.906390 + 0.422443i \(0.861173\pi\)
\(524\) −29.1578 −1.27376
\(525\) 1.49975 + 13.2721i 0.0654545 + 0.579243i
\(526\) 4.84545 + 4.84545i 0.211272 + 0.211272i
\(527\) −17.4776 + 65.2274i −0.761338 + 2.84135i
\(528\) −15.2248 13.1428i −0.662576 0.571968i
\(529\) 7.32140 12.6810i 0.318322 0.551350i
\(530\) −2.43680 4.22066i −0.105848 0.183334i
\(531\) 23.5987 10.2098i 1.02410 0.443067i
\(532\) 0.366027 + 0.0828273i 0.0158693 + 0.00359102i
\(533\) 6.18657 3.48783i 0.267970 0.151075i
\(534\) −2.91079 + 6.02064i −0.125962 + 0.260539i
\(535\) 6.80756 1.82408i 0.294317 0.0788619i
\(536\) 4.36891 + 2.52239i 0.188708 + 0.108951i
\(537\) 9.49095 19.6309i 0.409565 0.847137i
\(538\) −3.16911 3.16911i −0.136630 0.136630i
\(539\) 4.09871 22.1121i 0.176544 0.952437i
\(540\) −23.8817 15.1599i −1.02771 0.652379i
\(541\) −3.29000 0.881552i −0.141448 0.0379009i 0.187400 0.982284i \(-0.439994\pi\)
−0.328848 + 0.944383i \(0.606661\pi\)
\(542\) 2.18195 + 1.25975i 0.0937226 + 0.0541108i
\(543\) −1.50527 20.5094i −0.0645975 0.880142i
\(544\) 22.3955 + 6.00085i 0.960198 + 0.257284i
\(545\) 36.9306 1.58193
\(546\) −0.429961 4.18903i −0.0184006 0.179274i
\(547\) −5.84928 −0.250097 −0.125049 0.992151i \(-0.539909\pi\)
−0.125049 + 0.992151i \(0.539909\pi\)
\(548\) −26.6408 7.13839i −1.13804 0.304937i
\(549\) −18.0142 22.7320i −0.768825 0.970179i
\(550\) −2.06677 1.19325i −0.0881275 0.0508804i
\(551\) −0.00248695 0.000666378i −0.000105948 2.83886e-5i
\(552\) 0.941170 4.93269i 0.0400589 0.209949i
\(553\) −9.33880 + 17.7497i −0.397126 + 0.754794i
\(554\) 1.34363 + 1.34363i 0.0570854 + 0.0570854i
\(555\) −40.2613 19.4651i −1.70900 0.826247i
\(556\) −27.6687 15.9745i −1.17341 0.677471i
\(557\) 30.4609 8.16196i 1.29067 0.345833i 0.452754 0.891636i \(-0.350442\pi\)
0.837914 + 0.545802i \(0.183775\pi\)
\(558\) −6.44828 + 0.951661i −0.272977 + 0.0402870i
\(559\) −0.367088 + 1.31593i −0.0155262 + 0.0556581i
\(560\) −18.2624 + 19.7558i −0.771728 + 0.834834i
\(561\) −8.26116 + 43.2969i −0.348787 + 1.82800i
\(562\) 3.01582 + 5.22356i 0.127215 + 0.220343i
\(563\) 15.9085 27.5543i 0.670464 1.16128i −0.307309 0.951610i \(-0.599429\pi\)
0.977773 0.209667i \(-0.0672381\pi\)
\(564\) 4.36930 5.06146i 0.183981 0.213126i
\(565\) 5.76290 21.5074i 0.242447 0.904825i
\(566\) 4.52596 + 4.52596i 0.190240 + 0.190240i
\(567\) 17.9819 + 15.6094i 0.755168 + 0.655531i
\(568\) −2.47466 −0.103834
\(569\) 10.2235 + 17.7077i 0.428593 + 0.742345i 0.996748 0.0805766i \(-0.0256762\pi\)
−0.568156 + 0.822921i \(0.692343\pi\)
\(570\) −0.0594860 + 0.0689095i −0.00249159 + 0.00288630i
\(571\) −30.0115 17.3271i −1.25594 0.725118i −0.283658 0.958926i \(-0.591548\pi\)
−0.972283 + 0.233808i \(0.924881\pi\)
\(572\) −19.2958 11.4055i −0.806798 0.476888i
\(573\) −30.4206 + 20.6720i −1.27084 + 0.863585i
\(574\) −1.17544 0.618446i −0.0490621 0.0258135i
\(575\) 8.42590i 0.351384i
\(576\) −2.83959 19.2405i −0.118316 0.801689i
\(577\) 3.27490 0.877506i 0.136336 0.0365310i −0.190006 0.981783i \(-0.560851\pi\)
0.326342 + 0.945252i \(0.394184\pi\)
\(578\) −3.01758 11.2618i −0.125515 0.468427i
\(579\) −3.47234 9.97253i −0.144306 0.414444i
\(580\) 0.135207 0.135207i 0.00561416 0.00561416i
\(581\) 12.6467 + 2.86178i 0.524671 + 0.118727i
\(582\) 0.0377670 + 0.0555773i 0.00156549 + 0.00230375i
\(583\) 21.0929 + 5.65184i 0.873580 + 0.234075i
\(584\) 4.03281 6.98502i 0.166879 0.289042i
\(585\) −28.1764 11.4937i −1.16495 0.475205i
\(586\) −1.46580 2.53885i −0.0605518 0.104879i
\(587\) 10.3142 10.3142i 0.425714 0.425714i −0.461452 0.887165i \(-0.652671\pi\)
0.887165 + 0.461452i \(0.152671\pi\)
\(588\) 18.3107 14.6678i 0.755121 0.604890i
\(589\) 0.624899i 0.0257485i
\(590\) 5.93599 + 1.59054i 0.244381 + 0.0654816i
\(591\) 5.19012 6.01232i 0.213493 0.247314i
\(592\) −8.58551 32.0415i −0.352862 1.31690i
\(593\) −9.51681 + 35.5172i −0.390808 + 1.45852i 0.437995 + 0.898977i \(0.355689\pi\)
−0.828804 + 0.559540i \(0.810978\pi\)
\(594\) −4.15224 + 0.927603i −0.170369 + 0.0380600i
\(595\) 57.5062 + 13.0129i 2.35752 + 0.533478i
\(596\) −12.8436 12.8436i −0.526094 0.526094i
\(597\) 0.451133 + 0.218109i 0.0184637 + 0.00892661i
\(598\) 0.0272056 2.65636i 0.00111252 0.108627i
\(599\) −9.82791 5.67415i −0.401558 0.231839i 0.285598 0.958349i \(-0.407808\pi\)
−0.687156 + 0.726510i \(0.741141\pi\)
\(600\) −1.66484 4.78141i −0.0679670 0.195200i
\(601\) −8.65978 −0.353240 −0.176620 0.984279i \(-0.556516\pi\)
−0.176620 + 0.984279i \(0.556516\pi\)
\(602\) 0.244009 0.0757642i 0.00994507 0.00308792i
\(603\) −13.8499 + 5.99205i −0.564012 + 0.244015i
\(604\) −4.69478 + 17.5212i −0.191028 + 0.712926i
\(605\) −1.84422 + 0.494158i −0.0749783 + 0.0200904i
\(606\) −2.59342 + 3.00426i −0.105351 + 0.122040i
\(607\) 11.7019 + 20.2683i 0.474965 + 0.822663i 0.999589 0.0286710i \(-0.00912751\pi\)
−0.524624 + 0.851334i \(0.675794\pi\)
\(608\) −0.214556 −0.00870138
\(609\) −0.129477 + 0.0956229i −0.00524667 + 0.00387484i
\(610\) 6.93213i 0.280674i
\(611\) 3.66018 6.19228i 0.148075 0.250513i
\(612\) −36.0396 + 28.5598i −1.45681 + 1.15446i
\(613\) 26.7536 7.16861i 1.08057 0.289537i 0.325739 0.945460i \(-0.394387\pi\)
0.754828 + 0.655922i \(0.227720\pi\)
\(614\) −4.41319 + 2.54796i −0.178102 + 0.102827i
\(615\) −7.93864 + 5.39462i −0.320117 + 0.217532i
\(616\) 0.334588 + 8.51805i 0.0134809 + 0.343202i
\(617\) −6.78902 + 6.78902i −0.273316 + 0.273316i −0.830433 0.557118i \(-0.811907\pi\)
0.557118 + 0.830433i \(0.311907\pi\)
\(618\) −2.09639 + 0.729943i −0.0843290 + 0.0293626i
\(619\) 9.77385 + 36.4765i 0.392844 + 1.46611i 0.825421 + 0.564517i \(0.190938\pi\)
−0.432577 + 0.901597i \(0.642396\pi\)
\(620\) 40.1911 + 23.2044i 1.61411 + 0.931910i
\(621\) 10.1663 + 11.0585i 0.407960 + 0.443762i
\(622\) −3.64317 + 3.64317i −0.146078 + 0.146078i
\(623\) −38.2780 + 11.8852i −1.53357 + 0.476170i
\(624\) −7.20376 21.3921i −0.288381 0.856369i
\(625\) −15.5390 26.9144i −0.621561 1.07658i
\(626\) 1.71572 + 6.40316i 0.0685740 + 0.255922i
\(627\) −0.0298567 0.406798i −0.00119236 0.0162459i
\(628\) −4.49139 + 2.59310i −0.179226 + 0.103476i
\(629\) −51.4046 + 51.4046i −2.04963 + 2.04963i
\(630\) 1.05125 + 5.59314i 0.0418828 + 0.222836i
\(631\) −1.01075 + 1.01075i −0.0402374 + 0.0402374i −0.726939 0.686702i \(-0.759058\pi\)
0.686702 + 0.726939i \(0.259058\pi\)
\(632\) 1.96771 7.34360i 0.0782714 0.292113i
\(633\) 1.00323 0.0736318i 0.0398750 0.00292660i
\(634\) 1.51882 + 0.876893i 0.0603202 + 0.0348259i
\(635\) 2.16408 8.07647i 0.0858791 0.320505i
\(636\) 12.8042 + 18.8424i 0.507719 + 0.747151i
\(637\) 16.5874 19.0226i 0.657217 0.753702i
\(638\) 0.0287597i 0.00113861i
\(639\) 4.41405 5.94250i 0.174617 0.235082i
\(640\) 10.5587 18.2882i 0.417370 0.722905i
\(641\) −3.32852 + 5.76517i −0.131469 + 0.227711i −0.924243 0.381805i \(-0.875303\pi\)
0.792774 + 0.609515i \(0.208636\pi\)
\(642\) 1.04437 0.363639i 0.0412178 0.0143517i
\(643\) −16.9839 16.9839i −0.669780 0.669780i 0.287885 0.957665i \(-0.407048\pi\)
−0.957665 + 0.287885i \(0.907048\pi\)
\(644\) 12.5171 7.89752i 0.493243 0.311206i
\(645\) 0.346044 1.81362i 0.0136255 0.0714113i
\(646\) 0.0739926 + 0.128159i 0.00291120 + 0.00504235i
\(647\) 13.0009 22.5183i 0.511120 0.885286i −0.488797 0.872398i \(-0.662564\pi\)
0.999917 0.0128882i \(-0.00410257\pi\)
\(648\) −7.95404 4.26659i −0.312464 0.167608i
\(649\) −23.8465 + 13.7678i −0.936055 + 0.540432i
\(650\) −1.31535 2.33310i −0.0515921 0.0915119i
\(651\) −30.5512 24.3476i −1.19739 0.954257i
\(652\) 3.16804 + 3.16804i 0.124070 + 0.124070i
\(653\) 12.0001 6.92828i 0.469602 0.271125i −0.246471 0.969150i \(-0.579271\pi\)
0.716073 + 0.698025i \(0.245938\pi\)
\(654\) 5.77927 0.424166i 0.225987 0.0165862i
\(655\) 40.9471 10.9717i 1.59993 0.428701i
\(656\) −6.87702 1.84269i −0.268502 0.0719450i
\(657\) 9.58012 + 22.1433i 0.373756 + 0.863893i
\(658\) −1.34422 + 0.0528007i −0.0524030 + 0.00205839i
\(659\) 25.9191i 1.00966i −0.863218 0.504832i \(-0.831555\pi\)
0.863218 0.504832i \(-0.168445\pi\)
\(660\) 27.2724 + 13.1854i 1.06158 + 0.513239i
\(661\) −7.46215 27.8491i −0.290244 1.08320i −0.944922 0.327297i \(-0.893862\pi\)
0.654678 0.755908i \(-0.272804\pi\)
\(662\) −1.44752 + 2.50718i −0.0562595 + 0.0974443i
\(663\) −32.7068 + 37.1128i −1.27023 + 1.44134i
\(664\) −4.91505 −0.190741
\(665\) −0.545189 + 0.0214150i −0.0211415 + 0.000830437i
\(666\) −6.52405 2.58367i −0.252802 0.100115i
\(667\) −0.0879363 + 0.0507701i −0.00340491 + 0.00196583i
\(668\) −9.57341 35.7285i −0.370406 1.38238i
\(669\) −0.152615 0.131744i −0.00590043 0.00509353i
\(670\) −3.48379 0.933479i −0.134591 0.0360634i
\(671\) 21.9632 + 21.9632i 0.847879 + 0.847879i
\(672\) −8.35961 + 10.4896i −0.322479 + 0.404644i
\(673\) 4.97327i 0.191705i −0.995396 0.0958527i \(-0.969442\pi\)
0.995396 0.0958527i \(-0.0305578\pi\)
\(674\) 0.0453753 0.169343i 0.00174779 0.00652285i
\(675\) 14.4514 + 4.53073i 0.556233 + 0.174388i
\(676\) −12.1290 22.0384i −0.466498 0.847631i
\(677\) −4.21948 + 2.43612i −0.162168 + 0.0936276i −0.578888 0.815407i \(-0.696513\pi\)
0.416720 + 0.909035i \(0.363180\pi\)
\(678\) 0.654813 3.43189i 0.0251479 0.131801i
\(679\) −0.0888863 + 0.392802i −0.00341114 + 0.0150744i
\(680\) −22.3495 −0.857063
\(681\) 4.00741 + 11.5092i 0.153564 + 0.441034i
\(682\) 6.74238 1.80661i 0.258179 0.0691788i
\(683\) 7.72004 2.06858i 0.295399 0.0791519i −0.108076 0.994143i \(-0.534469\pi\)
0.403475 + 0.914991i \(0.367802\pi\)
\(684\) 0.253739 0.341601i 0.00970194 0.0130614i
\(685\) 40.0985 1.53209
\(686\) −4.67128 0.677448i −0.178350 0.0258651i
\(687\) 4.09851 + 0.782005i 0.156368 + 0.0298354i
\(688\) 1.18608 0.684781i 0.0452187 0.0261070i
\(689\) 17.1510 + 17.5059i 0.653400 + 0.666922i
\(690\) 0.262791 + 3.58054i 0.0100043 + 0.136309i
\(691\) −2.85162 + 10.6424i −0.108481 + 0.404856i −0.998717 0.0506439i \(-0.983873\pi\)
0.890236 + 0.455500i \(0.150539\pi\)
\(692\) 32.9525i 1.25267i
\(693\) −21.0515 14.3902i −0.799682 0.546637i
\(694\) 0.384429 + 0.384429i 0.0145927 + 0.0145927i
\(695\) 44.8670 + 12.0221i 1.70190 + 0.456023i
\(696\) 0.0398694 0.0461853i 0.00151124 0.00175065i
\(697\) 4.03831 + 15.0712i 0.152962 + 0.570861i
\(698\) −5.91173 + 3.41314i −0.223762 + 0.129189i
\(699\) −22.9344 33.7499i −0.867459 1.27654i
\(700\) 6.94802 13.2057i 0.262610 0.499128i
\(701\) 39.3887 1.48769 0.743845 0.668352i \(-0.233000\pi\)
0.743845 + 0.668352i \(0.233000\pi\)
\(702\) −4.54133 1.47503i −0.171402 0.0556713i
\(703\) 0.336364 0.582600i 0.0126862 0.0219732i
\(704\) 5.39063 + 20.1181i 0.203167 + 0.758229i
\(705\) −4.23136 + 8.75207i −0.159362 + 0.329622i
\(706\) 3.09796i 0.116593i
\(707\) −23.7687 + 0.933633i −0.893914 + 0.0351129i
\(708\) −28.2171 5.38389i −1.06046 0.202339i
\(709\) 10.8943 + 2.91911i 0.409143 + 0.109630i 0.457520 0.889200i \(-0.348738\pi\)
−0.0483762 + 0.998829i \(0.515405\pi\)
\(710\) 1.70894 0.457908i 0.0641352 0.0171850i
\(711\) 14.1247 + 17.8239i 0.529717 + 0.668449i
\(712\) 13.1575 7.59651i 0.493099 0.284691i
\(713\) −17.4264 17.4264i −0.652625 0.652625i
\(714\) 9.14860 + 1.37591i 0.342378 + 0.0514920i
\(715\) 31.3894 + 8.75627i 1.17390 + 0.327466i
\(716\) −21.0967 + 12.1802i −0.788420 + 0.455195i
\(717\) 2.16608 2.50922i 0.0808936 0.0937085i
\(718\) −0.747602 + 1.29488i −0.0279003 + 0.0483247i
\(719\) −7.72451 13.3792i −0.288076 0.498962i 0.685275 0.728285i \(-0.259682\pi\)
−0.973350 + 0.229323i \(0.926349\pi\)
\(720\) 12.1131 + 27.9979i 0.451427 + 1.04342i
\(721\) −11.7743 6.19491i −0.438498 0.230711i
\(722\) 3.42314 + 3.42314i 0.127396 + 0.127396i
\(723\) −10.0089 28.7454i −0.372235 1.06905i
\(724\) −11.4873 + 19.8967i −0.426924 + 0.739453i
\(725\) −0.0511874 + 0.0886592i −0.00190105 + 0.00329272i
\(726\) −0.282927 + 0.0985126i −0.0105004 + 0.00365615i
\(727\) 49.2519i 1.82665i 0.407228 + 0.913327i \(0.366496\pi\)
−0.407228 + 0.913327i \(0.633504\pi\)
\(728\) −4.54112 + 8.42062i −0.168305 + 0.312089i
\(729\) 24.4331 11.4901i 0.904931 0.425558i
\(730\) −1.49245 + 5.56990i −0.0552380 + 0.206151i
\(731\) −2.59932 1.50072i −0.0961392 0.0555060i
\(732\) 2.37187 + 32.3167i 0.0876667 + 1.19446i
\(733\) 10.8707 40.5701i 0.401519 1.49849i −0.408867 0.912594i \(-0.634076\pi\)
0.810386 0.585896i \(-0.199257\pi\)
\(734\) −5.74644 + 5.74644i −0.212105 + 0.212105i
\(735\) −20.1949 + 27.4885i −0.744901 + 1.01393i
\(736\) −5.98327 + 5.98327i −0.220546 + 0.220546i
\(737\) 13.9953 8.08020i 0.515524 0.297638i
\(738\) −1.18036 + 0.935383i −0.0434496 + 0.0344319i
\(739\) 0.964951 + 3.60124i 0.0354963 + 0.132474i 0.981400 0.191973i \(-0.0614886\pi\)
−0.945904 + 0.324447i \(0.894822\pi\)
\(740\) 24.9804 + 43.2674i 0.918299 + 1.59054i
\(741\) 0.203464 0.410070i 0.00747442 0.0150643i
\(742\) 1.01158 4.47032i 0.0371362 0.164111i
\(743\) 18.6096 18.6096i 0.682720 0.682720i −0.277892 0.960612i \(-0.589636\pi\)
0.960612 + 0.277892i \(0.0896358\pi\)
\(744\) 13.3321 + 6.44567i 0.488779 + 0.236310i
\(745\) 22.8695 + 13.2037i 0.837874 + 0.483746i
\(746\) 0.556509 + 2.07692i 0.0203752 + 0.0760414i
\(747\) 8.76697 11.8027i 0.320767 0.431839i
\(748\) 34.8207 34.8207i 1.27317 1.27317i
\(749\) 5.86565 + 3.08614i 0.214326 + 0.112765i
\(750\) −1.45559 2.14202i −0.0531506 0.0782156i
\(751\) −35.5729 + 20.5380i −1.29807 + 0.749442i −0.980071 0.198648i \(-0.936345\pi\)
−0.318001 + 0.948090i \(0.603012\pi\)
\(752\) −6.96525 + 1.86633i −0.253997 + 0.0680582i
\(753\) −36.5987 + 2.68614i −1.33373 + 0.0978883i
\(754\) 0.0164237 0.0277856i 0.000598116 0.00101189i
\(755\) 26.3721i 0.959777i
\(756\) −6.81452 25.7148i −0.247842 0.935240i
\(757\) −1.96778 −0.0715200 −0.0357600 0.999360i \(-0.511385\pi\)
−0.0357600 + 0.999360i \(0.511385\pi\)
\(758\) −1.75938 3.04734i −0.0639036 0.110684i
\(759\) −12.1769 10.5117i −0.441993 0.381550i
\(760\) 0.199772 0.0535287i 0.00724648 0.00194169i
\(761\) 2.94311 10.9838i 0.106688 0.398164i −0.891843 0.452344i \(-0.850588\pi\)
0.998531 + 0.0541801i \(0.0172545\pi\)
\(762\) 0.245895 1.28874i 0.00890785 0.0466862i
\(763\) 25.5036 + 23.5758i 0.923294 + 0.853502i
\(764\) 41.0902 1.48659
\(765\) 39.8647 53.6687i 1.44131 1.94040i
\(766\) −1.07462 0.620433i −0.0388276 0.0224171i
\(767\) −30.9011 0.316479i −1.11577 0.0114274i
\(768\) −8.33284 + 17.2355i −0.300685 + 0.621933i
\(769\) −9.25147 9.25147i −0.333617 0.333617i 0.520342 0.853958i \(-0.325805\pi\)
−0.853958 + 0.520342i \(0.825805\pi\)
\(770\) −1.80723 5.82043i −0.0651279 0.209754i
\(771\) −16.3438 24.0513i −0.588609 0.866188i
\(772\) −3.05338 + 11.3954i