Properties

Label 225.2.q.a.106.8
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.8
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39627 - 0.296787i) q^{2} +(-0.399711 + 1.68530i) q^{3} +(0.0344061 + 0.0153186i) q^{4} +(-2.10438 - 0.756030i) q^{5} +(1.05828 - 2.23451i) q^{6} +(1.20474 - 2.08666i) q^{7} +(2.26620 + 1.64649i) q^{8} +(-2.68046 - 1.34726i) q^{9} +O(q^{10})\) \(q+(-1.39627 - 0.296787i) q^{2} +(-0.399711 + 1.68530i) q^{3} +(0.0344061 + 0.0153186i) q^{4} +(-2.10438 - 0.756030i) q^{5} +(1.05828 - 2.23451i) q^{6} +(1.20474 - 2.08666i) q^{7} +(2.26620 + 1.64649i) q^{8} +(-2.68046 - 1.34726i) q^{9} +(2.71391 + 1.68018i) q^{10} +(0.0309094 + 0.00656999i) q^{11} +(-0.0395688 + 0.0518615i) q^{12} +(6.17253 - 1.31201i) q^{13} +(-2.30144 + 2.55600i) q^{14} +(2.11528 - 3.24432i) q^{15} +(-2.72598 - 3.02750i) q^{16} +(2.72065 + 1.97667i) q^{17} +(3.34281 + 2.67668i) q^{18} +(1.81267 + 1.31698i) q^{19} +(-0.0608222 - 0.0582481i) q^{20} +(3.03511 + 2.86440i) q^{21} +(-0.0412081 - 0.0183470i) q^{22} +(1.28687 - 1.42922i) q^{23} +(-3.68065 + 3.16110i) q^{24} +(3.85684 + 3.18195i) q^{25} -9.00793 q^{26} +(3.34195 - 3.97886i) q^{27} +(0.0734149 - 0.0533391i) q^{28} +(-0.977408 - 9.29942i) q^{29} +(-3.91638 + 3.90216i) q^{30} +(0.393002 - 3.73917i) q^{31} +(0.106511 + 0.184482i) q^{32} +(-0.0234272 + 0.0494655i) q^{33} +(-3.21212 - 3.56742i) q^{34} +(-4.11281 + 3.48032i) q^{35} +(-0.0715860 - 0.0874149i) q^{36} +(3.22975 - 9.94014i) q^{37} +(-2.14012 - 2.37684i) q^{38} +(-0.256096 + 10.9270i) q^{39} +(-3.52414 - 5.17815i) q^{40} +(-1.58800 + 0.337539i) q^{41} +(-3.38772 - 4.90027i) q^{42} +(-5.58816 + 9.67898i) q^{43} +(0.000962828 + 0.000699535i) q^{44} +(4.62214 + 4.86167i) q^{45} +(-2.22100 + 1.61365i) q^{46} +(0.330264 + 3.14225i) q^{47} +(6.19185 - 3.38396i) q^{48} +(0.597221 + 1.03442i) q^{49} +(-4.44084 - 5.58753i) q^{50} +(-4.41875 + 3.79501i) q^{51} +(0.232471 + 0.0494131i) q^{52} +(1.23376 - 0.896379i) q^{53} +(-5.84716 + 4.56373i) q^{54} +(-0.0600780 - 0.0371942i) q^{55} +(6.16584 - 2.74521i) q^{56} +(-2.94405 + 2.52848i) q^{57} +(-1.39522 + 13.2746i) q^{58} +(12.5447 - 2.66646i) q^{59} +(0.122477 - 0.0792211i) q^{60} +(-10.3888 - 2.20821i) q^{61} +(-1.65848 + 5.10426i) q^{62} +(-6.04054 + 3.97013i) q^{63} +(2.42385 + 7.45983i) q^{64} +(-13.9813 - 1.90565i) q^{65} +(0.0473915 - 0.0621144i) q^{66} +(0.237987 - 2.26429i) q^{67} +(0.0633271 + 0.109686i) q^{68} +(1.89428 + 2.74004i) q^{69} +(6.77551 - 3.63885i) q^{70} +(-3.63556 + 2.64139i) q^{71} +(-3.85620 - 7.46651i) q^{72} +(0.380414 + 1.17080i) q^{73} +(-7.45971 + 12.9206i) q^{74} +(-6.90416 + 5.22806i) q^{75} +(0.0421926 + 0.0730797i) q^{76} +(0.0509470 - 0.0565824i) q^{77} +(3.60057 - 15.1810i) q^{78} +(-0.0961757 - 0.915050i) q^{79} +(3.44761 + 8.43194i) q^{80} +(5.36976 + 7.22258i) q^{81} +2.31745 q^{82} +(5.07918 - 2.26140i) q^{83} +(0.0605475 + 0.145046i) q^{84} +(-4.23086 - 6.21655i) q^{85} +(10.6752 - 11.8560i) q^{86} +(16.0630 + 2.06986i) q^{87} +(0.0592293 + 0.0657808i) q^{88} +(-0.932477 - 2.86987i) q^{89} +(-5.01089 - 8.16001i) q^{90} +(4.69854 - 14.4606i) q^{91} +(0.0661697 - 0.0294607i) q^{92} +(6.14453 + 2.15691i) q^{93} +(0.471441 - 4.48546i) q^{94} +(-2.81887 - 4.14186i) q^{95} +(-0.353480 + 0.105763i) q^{96} +(1.08643 + 10.3367i) q^{97} +(-0.526882 - 1.62158i) q^{98} +(-0.0739999 - 0.0592538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39627 0.296787i −0.987314 0.209860i −0.314166 0.949368i \(-0.601725\pi\)
−0.673148 + 0.739508i \(0.735058\pi\)
\(3\) −0.399711 + 1.68530i −0.230773 + 0.973008i
\(4\) 0.0344061 + 0.0153186i 0.0172030 + 0.00765928i
\(5\) −2.10438 0.756030i −0.941108 0.338107i
\(6\) 1.05828 2.23451i 0.432041 0.912234i
\(7\) 1.20474 2.08666i 0.455348 0.788685i −0.543361 0.839499i \(-0.682848\pi\)
0.998708 + 0.0508144i \(0.0161817\pi\)
\(8\) 2.26620 + 1.64649i 0.801221 + 0.582121i
\(9\) −2.68046 1.34726i −0.893487 0.449088i
\(10\) 2.71391 + 1.68018i 0.858214 + 0.531319i
\(11\) 0.0309094 + 0.00656999i 0.00931953 + 0.00198093i 0.212569 0.977146i \(-0.431817\pi\)
−0.203250 + 0.979127i \(0.565150\pi\)
\(12\) −0.0395688 + 0.0518615i −0.0114225 + 0.0149711i
\(13\) 6.17253 1.31201i 1.71195 0.363886i 0.755358 0.655312i \(-0.227463\pi\)
0.956593 + 0.291426i \(0.0941297\pi\)
\(14\) −2.30144 + 2.55600i −0.615085 + 0.683121i
\(15\) 2.11528 3.24432i 0.546163 0.837679i
\(16\) −2.72598 3.02750i −0.681494 0.756876i
\(17\) 2.72065 + 1.97667i 0.659854 + 0.479412i 0.866614 0.498980i \(-0.166292\pi\)
−0.206760 + 0.978392i \(0.566292\pi\)
\(18\) 3.34281 + 2.67668i 0.787907 + 0.630899i
\(19\) 1.81267 + 1.31698i 0.415855 + 0.302136i 0.775968 0.630772i \(-0.217262\pi\)
−0.360113 + 0.932909i \(0.617262\pi\)
\(20\) −0.0608222 0.0582481i −0.0136002 0.0130247i
\(21\) 3.03511 + 2.86440i 0.662314 + 0.625064i
\(22\) −0.0412081 0.0183470i −0.00878559 0.00391160i
\(23\) 1.28687 1.42922i 0.268331 0.298012i −0.593888 0.804548i \(-0.702408\pi\)
0.862219 + 0.506536i \(0.169074\pi\)
\(24\) −3.68065 + 3.16110i −0.751309 + 0.645256i
\(25\) 3.85684 + 3.18195i 0.771367 + 0.636390i
\(26\) −9.00793 −1.76660
\(27\) 3.34195 3.97886i 0.643159 0.765733i
\(28\) 0.0734149 0.0533391i 0.0138741 0.0100801i
\(29\) −0.977408 9.29942i −0.181500 1.72686i −0.584271 0.811558i \(-0.698620\pi\)
0.402771 0.915301i \(-0.368047\pi\)
\(30\) −3.91638 + 3.90216i −0.715030 + 0.712435i
\(31\) 0.393002 3.73917i 0.0705853 0.671574i −0.900827 0.434177i \(-0.857039\pi\)
0.971413 0.237397i \(-0.0762942\pi\)
\(32\) 0.106511 + 0.184482i 0.0188286 + 0.0326121i
\(33\) −0.0234272 + 0.0494655i −0.00407816 + 0.00861083i
\(34\) −3.21212 3.56742i −0.550874 0.611808i
\(35\) −4.11281 + 3.48032i −0.695191 + 0.588281i
\(36\) −0.0715860 0.0874149i −0.0119310 0.0145692i
\(37\) 3.22975 9.94014i 0.530967 1.63415i −0.221238 0.975220i \(-0.571010\pi\)
0.752205 0.658929i \(-0.228990\pi\)
\(38\) −2.14012 2.37684i −0.347173 0.385575i
\(39\) −0.256096 + 10.9270i −0.0410082 + 1.74972i
\(40\) −3.52414 5.17815i −0.557216 0.818737i
\(41\) −1.58800 + 0.337539i −0.248003 + 0.0527147i −0.330236 0.943898i \(-0.607128\pi\)
0.0822327 + 0.996613i \(0.473795\pi\)
\(42\) −3.38772 4.90027i −0.522737 0.756128i
\(43\) −5.58816 + 9.67898i −0.852186 + 1.47603i 0.0270444 + 0.999634i \(0.491390\pi\)
−0.879231 + 0.476396i \(0.841943\pi\)
\(44\) 0.000962828 0 0.000699535i 0.000145152 0 0.000105459i
\(45\) 4.62214 + 4.86167i 0.689028 + 0.724735i
\(46\) −2.22100 + 1.61365i −0.327468 + 0.237919i
\(47\) 0.330264 + 3.14225i 0.0481739 + 0.458344i 0.991844 + 0.127457i \(0.0406814\pi\)
−0.943670 + 0.330888i \(0.892652\pi\)
\(48\) 6.19185 3.38396i 0.893716 0.488432i
\(49\) 0.597221 + 1.03442i 0.0853173 + 0.147774i
\(50\) −4.44084 5.58753i −0.628029 0.790197i
\(51\) −4.41875 + 3.79501i −0.618748 + 0.531408i
\(52\) 0.232471 + 0.0494131i 0.0322379 + 0.00685237i
\(53\) 1.23376 0.896379i 0.169470 0.123127i −0.499817 0.866131i \(-0.666600\pi\)
0.669287 + 0.743004i \(0.266600\pi\)
\(54\) −5.84716 + 4.56373i −0.795697 + 0.621045i
\(55\) −0.0600780 0.0371942i −0.00810092 0.00501527i
\(56\) 6.16584 2.74521i 0.823945 0.366844i
\(57\) −2.94405 + 2.52848i −0.389949 + 0.334905i
\(58\) −1.39522 + 13.2746i −0.183201 + 1.74304i
\(59\) 12.5447 2.66646i 1.63318 0.347144i 0.702136 0.712043i \(-0.252230\pi\)
0.931047 + 0.364899i \(0.118897\pi\)
\(60\) 0.122477 0.0792211i 0.0158117 0.0102274i
\(61\) −10.3888 2.20821i −1.33015 0.282732i −0.512619 0.858616i \(-0.671325\pi\)
−0.817532 + 0.575884i \(0.804658\pi\)
\(62\) −1.65848 + 5.10426i −0.210627 + 0.648242i
\(63\) −6.04054 + 3.97013i −0.761036 + 0.500189i
\(64\) 2.42385 + 7.45983i 0.302981 + 0.932479i
\(65\) −13.9813 1.90565i −1.73416 0.236366i
\(66\) 0.0473915 0.0621144i 0.00583349 0.00764576i
\(67\) 0.237987 2.26429i 0.0290747 0.276627i −0.970320 0.241826i \(-0.922254\pi\)
0.999394 0.0348011i \(-0.0110798\pi\)
\(68\) 0.0633271 + 0.109686i 0.00767954 + 0.0133014i
\(69\) 1.89428 + 2.74004i 0.228044 + 0.329861i
\(70\) 6.77551 3.63885i 0.809829 0.434926i
\(71\) −3.63556 + 2.64139i −0.431462 + 0.313475i −0.782233 0.622986i \(-0.785919\pi\)
0.350771 + 0.936461i \(0.385919\pi\)
\(72\) −3.85620 7.46651i −0.454457 0.879937i
\(73\) 0.380414 + 1.17080i 0.0445241 + 0.137031i 0.970847 0.239698i \(-0.0770486\pi\)
−0.926323 + 0.376730i \(0.877049\pi\)
\(74\) −7.45971 + 12.9206i −0.867174 + 1.50199i
\(75\) −6.90416 + 5.22806i −0.797223 + 0.603684i
\(76\) 0.0421926 + 0.0730797i 0.00483982 + 0.00838281i
\(77\) 0.0509470 0.0565824i 0.00580595 0.00644817i
\(78\) 3.60057 15.1810i 0.407684 1.71891i
\(79\) −0.0961757 0.915050i −0.0108206 0.102951i 0.987779 0.155864i \(-0.0498161\pi\)
−0.998599 + 0.0529128i \(0.983149\pi\)
\(80\) 3.44761 + 8.43194i 0.385454 + 0.942719i
\(81\) 5.36976 + 7.22258i 0.596640 + 0.802509i
\(82\) 2.31745 0.255920
\(83\) 5.07918 2.26140i 0.557512 0.248220i −0.108583 0.994087i \(-0.534631\pi\)
0.666095 + 0.745867i \(0.267965\pi\)
\(84\) 0.0605475 + 0.145046i 0.00660628 + 0.0158259i
\(85\) −4.23086 6.21655i −0.458901 0.674280i
\(86\) 10.6752 11.8560i 1.15114 1.27847i
\(87\) 16.0630 + 2.06986i 1.72213 + 0.221912i
\(88\) 0.0592293 + 0.0657808i 0.00631387 + 0.00701226i
\(89\) −0.932477 2.86987i −0.0988424 0.304206i 0.889394 0.457142i \(-0.151127\pi\)
−0.988236 + 0.152937i \(0.951127\pi\)
\(90\) −5.01089 8.16001i −0.528194 0.860141i
\(91\) 4.69854 14.4606i 0.492541 1.51589i
\(92\) 0.0661697 0.0294607i 0.00689867 0.00307149i
\(93\) 6.14453 + 2.15691i 0.637158 + 0.223661i
\(94\) 0.471441 4.48546i 0.0486254 0.462640i
\(95\) −2.81887 4.14186i −0.289210 0.424946i
\(96\) −0.353480 + 0.105763i −0.0360769 + 0.0107944i
\(97\) 1.08643 + 10.3367i 0.110310 + 1.04953i 0.899959 + 0.435974i \(0.143596\pi\)
−0.789649 + 0.613559i \(0.789737\pi\)
\(98\) −0.526882 1.62158i −0.0532232 0.163804i
\(99\) −0.0739999 0.0592538i −0.00743727 0.00595523i
\(100\) 0.0839556 + 0.168560i 0.00839556 + 0.0168560i
\(101\) 2.74091 4.74740i 0.272731 0.472384i −0.696829 0.717237i \(-0.745406\pi\)
0.969560 + 0.244853i \(0.0787398\pi\)
\(102\) 7.29609 3.98744i 0.722420 0.394816i
\(103\) −1.67428 0.745436i −0.164971 0.0734500i 0.322590 0.946539i \(-0.395447\pi\)
−0.487561 + 0.873089i \(0.662113\pi\)
\(104\) 16.1484 + 7.18972i 1.58348 + 0.705010i
\(105\) −4.22144 8.32243i −0.411971 0.812186i
\(106\) −1.98870 + 0.885426i −0.193160 + 0.0860002i
\(107\) 18.4750 1.78604 0.893021 0.450014i \(-0.148581\pi\)
0.893021 + 0.450014i \(0.148581\pi\)
\(108\) 0.175934 0.0857031i 0.0169293 0.00824678i
\(109\) 1.39665 4.29846i 0.133775 0.411718i −0.861622 0.507550i \(-0.830551\pi\)
0.995397 + 0.0958324i \(0.0305513\pi\)
\(110\) 0.0728466 + 0.0697637i 0.00694565 + 0.00665170i
\(111\) 15.4611 + 9.41627i 1.46751 + 0.893753i
\(112\) −9.60146 + 2.04085i −0.907253 + 0.192843i
\(113\) −3.64667 + 0.775123i −0.343050 + 0.0729175i −0.376215 0.926532i \(-0.622775\pi\)
0.0331652 + 0.999450i \(0.489441\pi\)
\(114\) 4.86112 2.65669i 0.455286 0.248822i
\(115\) −3.78860 + 2.03470i −0.353288 + 0.189737i
\(116\) 0.108825 0.334929i 0.0101041 0.0310974i
\(117\) −18.3129 4.79923i −1.69302 0.443689i
\(118\) −18.3072 −1.68532
\(119\) 7.40230 3.29572i 0.678568 0.302118i
\(120\) 10.1354 3.86947i 0.925228 0.353233i
\(121\) −10.0481 4.47370i −0.913463 0.406700i
\(122\) 13.8503 + 6.16653i 1.25394 + 0.558291i
\(123\) 0.0658854 2.81116i 0.00594069 0.253474i
\(124\) 0.0708003 0.122630i 0.00635806 0.0110125i
\(125\) −5.71060 9.61192i −0.510772 0.859716i
\(126\) 9.61253 3.75063i 0.856352 0.334133i
\(127\) 3.06084 + 9.42031i 0.271606 + 0.835917i 0.990098 + 0.140381i \(0.0448329\pi\)
−0.718492 + 0.695536i \(0.755167\pi\)
\(128\) −1.21490 11.5590i −0.107383 1.02168i
\(129\) −14.0783 13.2865i −1.23953 1.16981i
\(130\) 18.9561 + 6.81026i 1.66256 + 0.597300i
\(131\) −0.0925641 + 0.880688i −0.00808736 + 0.0769461i −0.997821 0.0659772i \(-0.978984\pi\)
0.989734 + 0.142923i \(0.0456502\pi\)
\(132\) −0.00156378 + 0.00134304i −0.000136109 + 0.000116897i
\(133\) 4.93189 2.19582i 0.427649 0.190402i
\(134\) −1.00431 + 3.09094i −0.0867590 + 0.267017i
\(135\) −10.0409 + 5.84642i −0.864182 + 0.503180i
\(136\) 2.91097 + 8.95903i 0.249613 + 0.768230i
\(137\) −7.48952 8.31795i −0.639873 0.710650i 0.332757 0.943013i \(-0.392021\pi\)
−0.972629 + 0.232362i \(0.925355\pi\)
\(138\) −1.83172 4.38804i −0.155927 0.373534i
\(139\) −0.0269569 + 0.0299387i −0.00228645 + 0.00253936i −0.744287 0.667860i \(-0.767211\pi\)
0.742001 + 0.670399i \(0.233877\pi\)
\(140\) −0.194819 + 0.0567418i −0.0164652 + 0.00479556i
\(141\) −5.42764 0.699399i −0.457090 0.0589000i
\(142\) 5.86017 2.60912i 0.491775 0.218952i
\(143\) 0.199409 0.0166754
\(144\) 3.22803 + 11.7877i 0.269002 + 0.982310i
\(145\) −4.97380 + 20.3085i −0.413052 + 1.68653i
\(146\) −0.183686 1.74765i −0.0152019 0.144637i
\(147\) −1.98202 + 0.593028i −0.163474 + 0.0489121i
\(148\) 0.263392 0.292526i 0.0216506 0.0240455i
\(149\) 4.04741 + 7.01032i 0.331577 + 0.574308i 0.982821 0.184560i \(-0.0590861\pi\)
−0.651245 + 0.758868i \(0.725753\pi\)
\(150\) 11.1917 5.25074i 0.913799 0.428721i
\(151\) −4.63305 + 8.02468i −0.377032 + 0.653039i −0.990629 0.136580i \(-0.956389\pi\)
0.613597 + 0.789620i \(0.289722\pi\)
\(152\) 1.93947 + 5.96908i 0.157312 + 0.484156i
\(153\) −4.62950 8.96381i −0.374273 0.724681i
\(154\) −0.0879289 + 0.0638841i −0.00708552 + 0.00514793i
\(155\) −3.65395 + 7.57151i −0.293492 + 0.608158i
\(156\) −0.176197 + 0.372031i −0.0141070 + 0.0297863i
\(157\) −5.80545 10.0553i −0.463326 0.802503i 0.535799 0.844346i \(-0.320011\pi\)
−0.999124 + 0.0418424i \(0.986677\pi\)
\(158\) −0.137288 + 1.30620i −0.0109220 + 0.103916i
\(159\) 1.01752 + 2.43755i 0.0806945 + 0.193310i
\(160\) −0.0846650 0.468745i −0.00669335 0.0370575i
\(161\) −1.43195 4.40710i −0.112854 0.347328i
\(162\) −5.35408 11.6784i −0.420656 0.917540i
\(163\) −1.85642 + 5.71348i −0.145406 + 0.447515i −0.997063 0.0765854i \(-0.975598\pi\)
0.851657 + 0.524100i \(0.175598\pi\)
\(164\) −0.0598073 0.0127124i −0.00467016 0.000992674i
\(165\) 0.0866972 0.0863825i 0.00674937 0.00672487i
\(166\) −7.76307 + 1.65009i −0.602531 + 0.128072i
\(167\) −1.41337 + 13.4473i −0.109370 + 1.04058i 0.792882 + 0.609375i \(0.208580\pi\)
−0.902252 + 0.431209i \(0.858087\pi\)
\(168\) 2.16194 + 11.4886i 0.166797 + 0.886362i
\(169\) 24.5026 10.9093i 1.88482 0.839175i
\(170\) 4.06245 + 9.93567i 0.311575 + 0.762031i
\(171\) −3.08447 5.97227i −0.235875 0.456711i
\(172\) −0.340535 + 0.247413i −0.0259655 + 0.0188651i
\(173\) 6.61768 + 1.40663i 0.503133 + 0.106944i 0.452484 0.891772i \(-0.350538\pi\)
0.0506485 + 0.998717i \(0.483871\pi\)
\(174\) −21.8140 7.65737i −1.65372 0.580504i
\(175\) 11.2861 4.21451i 0.853152 0.318587i
\(176\) −0.0643676 0.111488i −0.00485189 0.00840372i
\(177\) −0.520476 + 22.2074i −0.0391214 + 1.66921i
\(178\) 0.450253 + 4.28387i 0.0337479 + 0.321090i
\(179\) 5.82355 4.23106i 0.435272 0.316244i −0.348481 0.937316i \(-0.613302\pi\)
0.783754 + 0.621072i \(0.213302\pi\)
\(180\) 0.0845559 + 0.238075i 0.00630242 + 0.0177451i
\(181\) −5.56870 4.04590i −0.413918 0.300729i 0.361268 0.932462i \(-0.382344\pi\)
−0.775186 + 0.631733i \(0.782344\pi\)
\(182\) −10.8522 + 18.7965i −0.804417 + 1.39329i
\(183\) 7.87402 16.6256i 0.582064 1.22900i
\(184\) 5.26949 1.12006i 0.388472 0.0825722i
\(185\) −14.3117 + 18.4760i −1.05221 + 1.35839i
\(186\) −7.93929 4.83525i −0.582137 0.354538i
\(187\) 0.0711069 + 0.0789722i 0.00519985 + 0.00577502i
\(188\) −0.0367717 + 0.113172i −0.00268185 + 0.00825389i
\(189\) −4.27638 11.7670i −0.311061 0.855924i
\(190\) 2.70666 + 6.61978i 0.196362 + 0.480249i
\(191\) 7.55661 + 8.39246i 0.546777 + 0.607257i 0.951676 0.307104i \(-0.0993600\pi\)
−0.404899 + 0.914361i \(0.632693\pi\)
\(192\) −13.5409 + 1.10313i −0.977229 + 0.0796114i
\(193\) 11.1617 + 19.3326i 0.803434 + 1.39159i 0.917343 + 0.398098i \(0.130330\pi\)
−0.113909 + 0.993491i \(0.536337\pi\)
\(194\) 1.55084 14.7553i 0.111344 1.05937i
\(195\) 8.80005 22.8009i 0.630185 1.63281i
\(196\) 0.00470224 + 0.0447388i 0.000335874 + 0.00319563i
\(197\) −21.1964 + 15.4001i −1.51018 + 1.09721i −0.544083 + 0.839031i \(0.683122\pi\)
−0.966097 + 0.258179i \(0.916878\pi\)
\(198\) 0.0857384 + 0.104697i 0.00609316 + 0.00744047i
\(199\) −16.6094 −1.17741 −0.588703 0.808349i \(-0.700361\pi\)
−0.588703 + 0.808349i \(0.700361\pi\)
\(200\) 3.50130 + 13.5612i 0.247580 + 0.958919i
\(201\) 3.72088 + 1.30614i 0.262451 + 0.0921281i
\(202\) −5.23603 + 5.81520i −0.368406 + 0.409156i
\(203\) −20.5823 9.16383i −1.44459 0.643174i
\(204\) −0.210166 + 0.0628825i −0.0147145 + 0.00440265i
\(205\) 3.59694 + 0.490262i 0.251221 + 0.0342414i
\(206\) 2.11651 + 1.53774i 0.147464 + 0.107139i
\(207\) −5.37494 + 2.09720i −0.373584 + 0.145766i
\(208\) −20.7983 15.1108i −1.44210 1.04775i
\(209\) 0.0473760 + 0.0526163i 0.00327706 + 0.00363955i
\(210\) 3.42430 + 12.8733i 0.236299 + 0.888339i
\(211\) −6.43842 + 7.15059i −0.443239 + 0.492267i −0.922820 0.385231i \(-0.874122\pi\)
0.479581 + 0.877498i \(0.340789\pi\)
\(212\) 0.0561800 0.0119414i 0.00385846 0.000820141i
\(213\) −2.99836 7.18280i −0.205444 0.492158i
\(214\) −25.7961 5.48313i −1.76339 0.374819i
\(215\) 19.0772 16.1434i 1.30106 1.10097i
\(216\) 14.1247 3.51440i 0.961062 0.239125i
\(217\) −7.32892 5.32477i −0.497520 0.361469i
\(218\) −3.22584 + 5.58731i −0.218481 + 0.378421i
\(219\) −2.12520 + 0.173132i −0.143607 + 0.0116992i
\(220\) −0.00149729 0.00220002i −0.000100947 0.000148325i
\(221\) 19.3867 + 8.63151i 1.30409 + 0.580618i
\(222\) −18.7933 17.7363i −1.26133 1.19039i
\(223\) 25.3493 + 5.38816i 1.69752 + 0.360818i 0.952101 0.305783i \(-0.0989181\pi\)
0.745415 + 0.666601i \(0.232251\pi\)
\(224\) 0.513268 0.0342942
\(225\) −6.05117 13.7253i −0.403412 0.915019i
\(226\) 5.32179 0.354000
\(227\) −19.7314 4.19403i −1.30962 0.278367i −0.500357 0.865819i \(-0.666798\pi\)
−0.809259 + 0.587452i \(0.800131\pi\)
\(228\) −0.140026 + 0.0418963i −0.00927344 + 0.00277465i
\(229\) −6.35755 2.83057i −0.420119 0.187049i 0.185779 0.982592i \(-0.440519\pi\)
−0.605898 + 0.795543i \(0.707186\pi\)
\(230\) 5.89379 1.71659i 0.388625 0.113189i
\(231\) 0.0749942 + 0.108478i 0.00493426 + 0.00713730i
\(232\) 13.0964 22.6836i 0.859820 1.48925i
\(233\) −22.8409 16.5949i −1.49636 1.08717i −0.971805 0.235787i \(-0.924233\pi\)
−0.524551 0.851379i \(-0.675767\pi\)
\(234\) 24.1454 + 12.1361i 1.57843 + 0.793359i
\(235\) 1.68064 6.86218i 0.109633 0.447639i
\(236\) 0.472461 + 0.100425i 0.0307546 + 0.00653709i
\(237\) 1.58058 + 0.203671i 0.102669 + 0.0132298i
\(238\) −11.3138 + 2.40482i −0.733363 + 0.155881i
\(239\) 2.97588 3.30505i 0.192494 0.213786i −0.639170 0.769065i \(-0.720722\pi\)
0.831664 + 0.555279i \(0.187389\pi\)
\(240\) −15.5884 + 2.43991i −1.00623 + 0.157495i
\(241\) 10.1498 + 11.2725i 0.653804 + 0.726123i 0.975324 0.220780i \(-0.0708602\pi\)
−0.321519 + 0.946903i \(0.604194\pi\)
\(242\) 12.7021 + 9.22865i 0.816525 + 0.593240i
\(243\) −14.3186 + 6.16270i −0.918536 + 0.395337i
\(244\) −0.323612 0.235118i −0.0207171 0.0150519i
\(245\) −0.474730 2.62833i −0.0303294 0.167918i
\(246\) −0.926311 + 3.90560i −0.0590594 + 0.249012i
\(247\) 12.9167 + 5.75086i 0.821867 + 0.365919i
\(248\) 7.04711 7.82661i 0.447492 0.496990i
\(249\) 1.78092 + 9.46384i 0.112861 + 0.599746i
\(250\) 5.12087 + 15.1157i 0.323872 + 0.956001i
\(251\) −14.0348 −0.885869 −0.442935 0.896554i \(-0.646063\pi\)
−0.442935 + 0.896554i \(0.646063\pi\)
\(252\) −0.268648 + 0.0440640i −0.0169232 + 0.00277577i
\(253\) 0.0491663 0.0357214i 0.00309106 0.00224579i
\(254\) −1.47795 14.0617i −0.0927347 0.882312i
\(255\) 12.1679 4.64544i 0.761981 0.290909i
\(256\) −0.0944491 + 0.898623i −0.00590307 + 0.0561639i
\(257\) −4.76132 8.24684i −0.297003 0.514424i 0.678446 0.734650i \(-0.262654\pi\)
−0.975449 + 0.220226i \(0.929320\pi\)
\(258\) 15.7139 + 22.7299i 0.978306 + 1.41510i
\(259\) −16.8507 18.7146i −1.04705 1.16287i
\(260\) −0.451849 0.279739i −0.0280225 0.0173487i
\(261\) −9.90887 + 26.2436i −0.613344 + 1.62444i
\(262\) 0.390622 1.20221i 0.0241327 0.0742728i
\(263\) 16.2416 + 18.0382i 1.00150 + 1.11228i 0.993673 + 0.112312i \(0.0358256\pi\)
0.00782953 + 0.999969i \(0.497508\pi\)
\(264\) −0.134535 + 0.0735258i −0.00828006 + 0.00452520i
\(265\) −3.27399 + 0.953563i −0.201120 + 0.0585769i
\(266\) −7.53795 + 1.60224i −0.462182 + 0.0982397i
\(267\) 5.20931 0.424384i 0.318804 0.0259719i
\(268\) 0.0428739 0.0742598i 0.00261894 0.00453614i
\(269\) −12.9182 9.38564i −0.787638 0.572252i 0.119624 0.992819i \(-0.461831\pi\)
−0.907262 + 0.420567i \(0.861831\pi\)
\(270\) 15.7550 5.18320i 0.958816 0.315440i
\(271\) 11.6010 8.42860i 0.704709 0.512001i −0.176754 0.984255i \(-0.556560\pi\)
0.881462 + 0.472254i \(0.156560\pi\)
\(272\) −1.43206 13.6251i −0.0868312 0.826144i
\(273\) 22.4924 + 13.6985i 1.36130 + 0.829072i
\(274\) 7.98875 + 13.8369i 0.482618 + 0.835919i
\(275\) 0.0983071 + 0.123692i 0.00592814 + 0.00745888i
\(276\) 0.0232012 + 0.123291i 0.00139655 + 0.00742127i
\(277\) 15.4429 + 3.28249i 0.927874 + 0.197226i 0.646975 0.762511i \(-0.276034\pi\)
0.280900 + 0.959737i \(0.409367\pi\)
\(278\) 0.0465246 0.0338021i 0.00279036 0.00202732i
\(279\) −6.09107 + 9.49322i −0.364663 + 0.568344i
\(280\) −15.0507 + 1.11540i −0.899453 + 0.0666580i
\(281\) −1.34937 + 0.600776i −0.0804964 + 0.0358393i −0.446590 0.894739i \(-0.647362\pi\)
0.366094 + 0.930578i \(0.380695\pi\)
\(282\) 7.37090 + 2.58741i 0.438931 + 0.154078i
\(283\) 1.42383 13.5468i 0.0846376 0.805273i −0.867053 0.498215i \(-0.833989\pi\)
0.951691 0.307058i \(-0.0993445\pi\)
\(284\) −0.165548 + 0.0351883i −0.00982345 + 0.00208804i
\(285\) 8.10701 3.09509i 0.480218 0.183337i
\(286\) −0.278430 0.0591820i −0.0164639 0.00349951i
\(287\) −1.20879 + 3.72026i −0.0713523 + 0.219600i
\(288\) −0.0369519 0.637994i −0.00217741 0.0375941i
\(289\) −1.75857 5.41233i −0.103445 0.318372i
\(290\) 12.9721 26.8800i 0.761747 1.57845i
\(291\) −17.8547 2.30073i −1.04666 0.134871i
\(292\) −0.00484634 + 0.0461099i −0.000283611 + 0.00269838i
\(293\) −8.13530 14.0908i −0.475270 0.823191i 0.524329 0.851516i \(-0.324316\pi\)
−0.999599 + 0.0283246i \(0.990983\pi\)
\(294\) 2.94344 0.239792i 0.171665 0.0139849i
\(295\) −28.4148 3.87293i −1.65437 0.225491i
\(296\) 23.6856 17.2086i 1.37669 1.00023i
\(297\) 0.129439 0.101028i 0.00751080 0.00586222i
\(298\) −3.57072 10.9895i −0.206846 0.636607i
\(299\) 6.06810 10.5103i 0.350927 0.607824i
\(300\) −0.317631 + 0.0741152i −0.0183385 + 0.00427904i
\(301\) 13.4645 + 23.3212i 0.776082 + 1.34421i
\(302\) 8.85063 9.82962i 0.509296 0.565631i
\(303\) 6.90521 + 6.51684i 0.396694 + 0.374383i
\(304\) −0.954128 9.07792i −0.0547230 0.520654i
\(305\) 20.1925 + 12.5012i 1.15622 + 0.715815i
\(306\) 3.80371 + 13.8899i 0.217443 + 0.794033i
\(307\) 14.3507 0.819040 0.409520 0.912301i \(-0.365696\pi\)
0.409520 + 0.912301i \(0.365696\pi\)
\(308\) 0.00261965 0.00116634i 0.000149268 6.64586e-5i
\(309\) 1.92551 2.52370i 0.109538 0.143568i
\(310\) 7.34904 9.48745i 0.417397 0.538851i
\(311\) −14.9819 + 16.6391i −0.849544 + 0.943514i −0.998975 0.0452580i \(-0.985589\pi\)
0.149431 + 0.988772i \(0.452256\pi\)
\(312\) −18.5715 + 24.3410i −1.05140 + 1.37804i
\(313\) −16.3521 18.1608i −0.924273 1.02651i −0.999569 0.0293476i \(-0.990657\pi\)
0.0752966 0.997161i \(-0.476010\pi\)
\(314\) 5.12170 + 15.7630i 0.289035 + 0.889557i
\(315\) 15.7131 3.78783i 0.885335 0.213420i
\(316\) 0.0107082 0.0329566i 0.000602385 0.00185395i
\(317\) 15.8022 7.03561i 0.887542 0.395159i 0.0882473 0.996099i \(-0.471873\pi\)
0.799294 + 0.600940i \(0.205207\pi\)
\(318\) −0.697302 3.70547i −0.0391028 0.207792i
\(319\) 0.0308860 0.293861i 0.00172929 0.0164531i
\(320\) 0.539164 17.5308i 0.0301402 0.980003i
\(321\) −7.38465 + 31.1358i −0.412171 + 1.73783i
\(322\) 0.691428 + 6.57850i 0.0385318 + 0.366605i
\(323\) 2.32840 + 7.16609i 0.129556 + 0.398732i
\(324\) 0.0741126 + 0.330758i 0.00411736 + 0.0183754i
\(325\) 27.9812 + 14.5805i 1.55212 + 0.808779i
\(326\) 4.28776 7.42662i 0.237477 0.411323i
\(327\) 6.68593 + 4.07192i 0.369733 + 0.225178i
\(328\) −4.15446 1.84969i −0.229392 0.102132i
\(329\) 6.95471 + 3.09643i 0.383425 + 0.170712i
\(330\) −0.146690 + 0.0948829i −0.00807503 + 0.00522313i
\(331\) −23.9484 + 10.6625i −1.31632 + 0.586064i −0.940237 0.340522i \(-0.889396\pi\)
−0.376084 + 0.926585i \(0.622730\pi\)
\(332\) 0.209396 0.0114921
\(333\) −22.0492 + 22.2928i −1.20829 + 1.22164i
\(334\) 5.96444 18.3567i 0.326360 1.00443i
\(335\) −2.21269 + 4.58501i −0.120892 + 0.250506i
\(336\) 0.398362 16.9971i 0.0217324 0.927267i
\(337\) −15.7941 + 3.35713i −0.860358 + 0.182875i −0.616905 0.787038i \(-0.711614\pi\)
−0.243453 + 0.969913i \(0.578280\pi\)
\(338\) −37.4501 + 7.96027i −2.03702 + 0.432982i
\(339\) 0.151299 6.45555i 0.00821744 0.350617i
\(340\) −0.0503386 0.278698i −0.00272999 0.0151145i
\(341\) 0.0367138 0.112993i 0.00198816 0.00611893i
\(342\) 2.53427 + 9.25435i 0.137038 + 0.500418i
\(343\) 19.7443 1.06609
\(344\) −28.6002 + 12.7336i −1.54202 + 0.686551i
\(345\) −1.91473 7.19821i −0.103086 0.387539i
\(346\) −8.82262 3.92808i −0.474307 0.211175i
\(347\) −17.1275 7.62567i −0.919454 0.409367i −0.108246 0.994124i \(-0.534523\pi\)
−0.811209 + 0.584757i \(0.801190\pi\)
\(348\) 0.520957 + 0.317277i 0.0279262 + 0.0170079i
\(349\) −0.899591 + 1.55814i −0.0481540 + 0.0834051i −0.889098 0.457717i \(-0.848667\pi\)
0.840944 + 0.541123i \(0.182000\pi\)
\(350\) −17.0093 + 2.53503i −0.909188 + 0.135503i
\(351\) 15.4080 28.9443i 0.822417 1.54493i
\(352\) 0.00208013 + 0.00640199i 0.000110871 + 0.000341227i
\(353\) 0.191932 + 1.82612i 0.0102155 + 0.0971943i 0.998442 0.0558064i \(-0.0177730\pi\)
−0.988226 + 0.153001i \(0.951106\pi\)
\(354\) 7.31760 30.8531i 0.388926 1.63983i
\(355\) 9.64758 2.80990i 0.512040 0.149134i
\(356\) 0.0118794 0.113025i 0.000629608 0.00599032i
\(357\) 2.59549 + 13.7924i 0.137368 + 0.729973i
\(358\) −9.38699 + 4.17936i −0.496118 + 0.220886i
\(359\) −10.8516 + 33.3977i −0.572724 + 1.76266i 0.0710775 + 0.997471i \(0.477356\pi\)
−0.643802 + 0.765192i \(0.722644\pi\)
\(360\) 2.47000 + 18.6278i 0.130180 + 0.981771i
\(361\) −4.31999 13.2956i −0.227368 0.699767i
\(362\) 6.57466 + 7.30190i 0.345557 + 0.383779i
\(363\) 11.5558 15.1458i 0.606525 0.794951i
\(364\) 0.383174 0.425558i 0.0200838 0.0223053i
\(365\) 0.0846199 2.75140i 0.00442921 0.144015i
\(366\) −15.9285 + 20.8770i −0.832598 + 1.09126i
\(367\) 21.9643 9.77913i 1.14653 0.510466i 0.256576 0.966524i \(-0.417406\pi\)
0.889950 + 0.456058i \(0.150739\pi\)
\(368\) −7.83493 −0.408424
\(369\) 4.71132 + 1.23469i 0.245261 + 0.0642754i
\(370\) 25.4664 21.5501i 1.32394 1.12034i
\(371\) −0.384087 3.65434i −0.0199408 0.189724i
\(372\) 0.178368 + 0.168336i 0.00924796 + 0.00872782i
\(373\) 1.34951 1.49879i 0.0698751 0.0776042i −0.707194 0.707020i \(-0.750039\pi\)
0.777069 + 0.629416i \(0.216706\pi\)
\(374\) −0.0758467 0.131370i −0.00392194 0.00679300i
\(375\) 18.4815 5.78208i 0.954383 0.298585i
\(376\) −4.42524 + 7.66473i −0.228214 + 0.395278i
\(377\) −18.2340 56.1186i −0.939100 2.89025i
\(378\) 2.47870 + 17.6991i 0.127490 + 0.910346i
\(379\) −15.2526 + 11.0817i −0.783474 + 0.569227i −0.906020 0.423236i \(-0.860894\pi\)
0.122546 + 0.992463i \(0.460894\pi\)
\(380\) −0.0335388 0.185686i −0.00172050 0.00952551i
\(381\) −17.0995 + 1.39303i −0.876033 + 0.0713673i
\(382\) −8.06032 13.9609i −0.412402 0.714301i
\(383\) −1.15667 + 11.0050i −0.0591029 + 0.562327i 0.924399 + 0.381428i \(0.124567\pi\)
−0.983502 + 0.180899i \(0.942099\pi\)
\(384\) 19.9660 + 2.57280i 1.01889 + 0.131293i
\(385\) −0.149990 + 0.0805535i −0.00764420 + 0.00410538i
\(386\) −9.84708 30.3062i −0.501203 1.54254i
\(387\) 28.0190 18.4154i 1.42429 0.936108i
\(388\) −0.120964 + 0.372288i −0.00614100 + 0.0189000i
\(389\) 21.1676 + 4.49931i 1.07324 + 0.228124i 0.710450 0.703747i \(-0.248491\pi\)
0.362789 + 0.931871i \(0.381825\pi\)
\(390\) −19.0543 + 29.2246i −0.964852 + 1.47984i
\(391\) 6.32621 1.34468i 0.319930 0.0680032i
\(392\) −0.349735 + 3.32751i −0.0176643 + 0.168065i
\(393\) −1.44722 0.508019i −0.0730028 0.0256262i
\(394\) 34.1665 15.2119i 1.72128 0.766365i
\(395\) −0.489416 + 1.99833i −0.0246252 + 0.100547i
\(396\) −0.00163836 0.00317226i −8.23309e−5 0.000159412i
\(397\) 6.42510 4.66811i 0.322467 0.234286i −0.414761 0.909931i \(-0.636135\pi\)
0.737227 + 0.675645i \(0.236135\pi\)
\(398\) 23.1912 + 4.92945i 1.16247 + 0.247091i
\(399\) 1.72928 + 9.18940i 0.0865722 + 0.460045i
\(400\) −0.880276 20.3505i −0.0440138 1.01752i
\(401\) 6.27204 + 10.8635i 0.313211 + 0.542497i 0.979056 0.203593i \(-0.0652621\pi\)
−0.665845 + 0.746090i \(0.731929\pi\)
\(402\) −4.80773 2.92804i −0.239788 0.146037i
\(403\) −2.48001 23.5957i −0.123538 1.17539i
\(404\) 0.167027 0.121352i 0.00830992 0.00603751i
\(405\) −5.83952 19.2588i −0.290168 0.956976i
\(406\) 26.0188 + 18.9038i 1.29129 + 0.938178i
\(407\) 0.165136 0.286024i 0.00818549 0.0141777i
\(408\) −16.2622 + 1.32482i −0.805098 + 0.0655885i
\(409\) 4.34031 0.922562i 0.214615 0.0456178i −0.0993494 0.995053i \(-0.531676\pi\)
0.313964 + 0.949435i \(0.398343\pi\)
\(410\) −4.87680 1.75206i −0.240848 0.0865283i
\(411\) 17.0119 9.29729i 0.839134 0.458602i
\(412\) −0.0461862 0.0512950i −0.00227543 0.00252712i
\(413\) 9.54906 29.3890i 0.469879 1.44614i
\(414\) 8.12731 1.33305i 0.399435 0.0655160i
\(415\) −12.3982 + 0.918825i −0.608604 + 0.0451034i
\(416\) 0.899481 + 0.998975i 0.0441007 + 0.0489788i
\(417\) −0.0396806 0.0573972i −0.00194317 0.00281075i
\(418\) −0.0505340 0.0875274i −0.00247170 0.00428110i
\(419\) 0.767053 7.29802i 0.0374730 0.356532i −0.959678 0.281101i \(-0.909300\pi\)
0.997151 0.0754304i \(-0.0240331\pi\)
\(420\) −0.0177556 0.351008i −0.000866385 0.0171275i
\(421\) 0.818284 + 7.78545i 0.0398807 + 0.379439i 0.996199 + 0.0871109i \(0.0277634\pi\)
−0.956318 + 0.292329i \(0.905570\pi\)
\(422\) 11.1120 8.07334i 0.540924 0.393004i
\(423\) 3.34818 8.86764i 0.162794 0.431159i
\(424\) 4.27182 0.207458
\(425\) 4.20344 + 16.2807i 0.203897 + 0.789728i
\(426\) 2.05477 + 10.9190i 0.0995537 + 0.529029i
\(427\) −17.1236 + 19.0177i −0.828668 + 0.920329i
\(428\) 0.635651 + 0.283010i 0.0307254 + 0.0136798i
\(429\) −0.0797060 + 0.336064i −0.00384824 + 0.0162253i
\(430\) −31.4282 + 16.8788i −1.51560 + 0.813967i
\(431\) 10.2026 + 7.41261i 0.491441 + 0.357053i 0.805738 0.592272i \(-0.201769\pi\)
−0.314297 + 0.949325i \(0.601769\pi\)
\(432\) −21.1561 + 0.728511i −1.01787 + 0.0350505i
\(433\) 30.3440 + 22.0462i 1.45824 + 1.05947i 0.983817 + 0.179179i \(0.0573441\pi\)
0.474425 + 0.880296i \(0.342656\pi\)
\(434\) 8.65286 + 9.60997i 0.415350 + 0.461293i
\(435\) −32.2378 16.4999i −1.54568 0.791108i
\(436\) 0.113900 0.126498i 0.00545480 0.00605817i
\(437\) 4.21492 0.895910i 0.201627 0.0428572i
\(438\) 3.01874 + 0.388991i 0.144241 + 0.0185867i
\(439\) −34.1280 7.25413i −1.62884 0.346221i −0.699268 0.714860i \(-0.746491\pi\)
−0.929573 + 0.368639i \(0.879824\pi\)
\(440\) −0.0749088 0.183207i −0.00357114 0.00873406i
\(441\) −0.207195 3.57733i −0.00986642 0.170349i
\(442\) −24.5074 17.8057i −1.16570 0.846929i
\(443\) −12.2771 + 21.2646i −0.583304 + 1.01031i 0.411780 + 0.911283i \(0.364907\pi\)
−0.995085 + 0.0990295i \(0.968426\pi\)
\(444\) 0.387713 + 0.560819i 0.0184000 + 0.0266153i
\(445\) −0.207421 + 6.74428i −0.00983272 + 0.319709i
\(446\) −33.7954 15.0467i −1.60026 0.712482i
\(447\) −13.4323 + 4.01899i −0.635325 + 0.190092i
\(448\) 18.4863 + 3.92938i 0.873394 + 0.185646i
\(449\) 5.69752 0.268882 0.134441 0.990922i \(-0.457076\pi\)
0.134441 + 0.990922i \(0.457076\pi\)
\(450\) 4.37561 + 20.9602i 0.206268 + 0.988071i
\(451\) −0.0513016 −0.00241570
\(452\) −0.137341 0.0291928i −0.00645999 0.00137311i
\(453\) −11.6721 11.0156i −0.548403 0.517559i
\(454\) 26.3056 + 11.7120i 1.23458 + 0.549672i
\(455\) −20.8202 + 26.8784i −0.976065 + 1.26008i
\(456\) −10.8349 + 0.882682i −0.507391 + 0.0413354i
\(457\) −14.9907 + 25.9647i −0.701238 + 1.21458i 0.266795 + 0.963753i \(0.414035\pi\)
−0.968032 + 0.250826i \(0.919298\pi\)
\(458\) 8.03681 + 5.83908i 0.375535 + 0.272842i
\(459\) 16.9572 4.21916i 0.791493 0.196933i
\(460\) −0.161519 + 0.0119701i −0.00753088 + 0.000558110i
\(461\) 4.85788 + 1.03257i 0.226254 + 0.0480917i 0.319643 0.947538i \(-0.396437\pi\)
−0.0933896 + 0.995630i \(0.529770\pi\)
\(462\) −0.0725176 0.173722i −0.00337383 0.00808226i
\(463\) −11.1874 + 2.37795i −0.519922 + 0.110513i −0.460396 0.887714i \(-0.652292\pi\)
−0.0595266 + 0.998227i \(0.518959\pi\)
\(464\) −25.4896 + 28.3091i −1.18333 + 1.31422i
\(465\) −11.2997 9.18441i −0.524012 0.425917i
\(466\) 26.9670 + 29.9498i 1.24922 + 1.38740i
\(467\) 21.2823 + 15.4625i 0.984827 + 0.715518i 0.958782 0.284142i \(-0.0917088\pi\)
0.0260445 + 0.999661i \(0.491709\pi\)
\(468\) −0.556556 0.445649i −0.0257268 0.0206002i
\(469\) −4.43811 3.22447i −0.204933 0.148892i
\(470\) −4.38324 + 9.08269i −0.202184 + 0.418953i
\(471\) 19.2668 5.76469i 0.887765 0.265623i
\(472\) 32.8191 + 14.6120i 1.51062 + 0.672572i
\(473\) −0.236317 + 0.262457i −0.0108659 + 0.0120678i
\(474\) −2.14647 0.753475i −0.0985906 0.0346082i
\(475\) 2.80060 + 10.8472i 0.128500 + 0.497704i
\(476\) 0.305170 0.0139874
\(477\) −4.51470 + 0.740509i −0.206714 + 0.0339056i
\(478\) −5.13604 + 3.73155i −0.234917 + 0.170677i
\(479\) −0.0489279 0.465517i −0.00223557 0.0212700i 0.993347 0.115158i \(-0.0367373\pi\)
−0.995583 + 0.0938875i \(0.970071\pi\)
\(480\) 0.823816 + 0.0446767i 0.0376019 + 0.00203920i
\(481\) 6.89413 65.5932i 0.314345 2.99079i
\(482\) −10.8263 18.7518i −0.493126 0.854119i
\(483\) 7.99964 0.651703i 0.363996 0.0296535i
\(484\) −0.277185 0.307845i −0.0125993 0.0139929i
\(485\) 5.52859 22.5737i 0.251041 1.02502i
\(486\) 21.8216 4.35525i 0.989849 0.197558i
\(487\) 1.55836 4.79614i 0.0706160 0.217334i −0.909520 0.415660i \(-0.863551\pi\)
0.980136 + 0.198326i \(0.0635506\pi\)
\(488\) −19.9073 22.1093i −0.901161 1.00084i
\(489\) −8.88689 5.41237i −0.401879 0.244756i
\(490\) −0.117200 + 3.81075i −0.00529457 + 0.172152i
\(491\) 7.35184 1.56268i 0.331784 0.0705228i −0.0390079 0.999239i \(-0.512420\pi\)
0.370792 + 0.928716i \(0.379086\pi\)
\(492\) 0.0453299 0.0957118i 0.00204363 0.00431502i
\(493\) 15.7227 27.2325i 0.708113 1.22649i
\(494\) −16.3284 11.8633i −0.734649 0.533754i
\(495\) 0.110926 + 0.180639i 0.00498577 + 0.00811910i
\(496\) −12.3916 + 9.00306i −0.556401 + 0.404249i
\(497\) 1.13180 + 10.7684i 0.0507683 + 0.483028i
\(498\) 0.322088 13.7427i 0.0144331 0.615823i
\(499\) 4.05527 + 7.02394i 0.181539 + 0.314435i 0.942405 0.334474i \(-0.108559\pi\)
−0.760866 + 0.648909i \(0.775225\pi\)
\(500\) −0.0492384 0.418187i −0.00220201 0.0187019i
\(501\) −22.0978 7.75699i −0.987257 0.346557i
\(502\) 19.5964 + 4.16535i 0.874631 + 0.185909i
\(503\) −16.3455 + 11.8757i −0.728812 + 0.529513i −0.889187 0.457543i \(-0.848729\pi\)
0.160376 + 0.987056i \(0.448729\pi\)
\(504\) −20.2258 0.948588i −0.900929 0.0422535i
\(505\) −9.35710 + 7.91812i −0.416385 + 0.352352i
\(506\) −0.0792513 + 0.0352850i −0.00352315 + 0.00156861i
\(507\) 8.59142 + 45.6548i 0.381558 + 2.02760i
\(508\) −0.0389940 + 0.371003i −0.00173008 + 0.0164606i
\(509\) −20.4717 + 4.35139i −0.907392 + 0.192872i −0.637890 0.770128i \(-0.720193\pi\)
−0.269502 + 0.963000i \(0.586859\pi\)
\(510\) −18.3684 + 2.87504i −0.813365 + 0.127309i
\(511\) 2.90136 + 0.616702i 0.128348 + 0.0272813i
\(512\) −6.78465 + 20.8810i −0.299842 + 0.922819i
\(513\) 11.2979 2.81107i 0.498817 0.124112i
\(514\) 4.20054 + 12.9279i 0.185278 + 0.570227i
\(515\) 2.95974 + 2.83448i 0.130422 + 0.124902i
\(516\) −0.280849 0.672796i −0.0123637 0.0296182i
\(517\) −0.0104363 + 0.0992949i −0.000458989 + 0.00436699i
\(518\) 17.9740 + 31.1318i 0.789731 + 1.36785i
\(519\) −5.01575 + 10.5905i −0.220167 + 0.464872i
\(520\) −28.5467 27.3386i −1.25185 1.19888i
\(521\) 5.09658 3.70289i 0.223285 0.162226i −0.470519 0.882390i \(-0.655933\pi\)
0.693804 + 0.720164i \(0.255933\pi\)
\(522\) 21.6243 33.7024i 0.946468 1.47511i
\(523\) −6.61794 20.3679i −0.289382 0.890628i −0.985051 0.172264i \(-0.944892\pi\)
0.695668 0.718363i \(-0.255108\pi\)
\(524\) −0.0166756 + 0.0288831i −0.000728479 + 0.00126176i
\(525\) 2.59152 + 20.7051i 0.113103 + 0.903644i
\(526\) −17.3243 30.0065i −0.755374 1.30835i
\(527\) 8.46031 9.39612i 0.368537 0.409302i
\(528\) 0.213619 0.0639156i 0.00929657 0.00278157i
\(529\) 2.01754 + 19.1956i 0.0877190 + 0.834590i
\(530\) 4.85439 0.359756i 0.210861 0.0156268i
\(531\) −37.2181 9.75370i −1.61513 0.423275i
\(532\) 0.203324 0.00881520
\(533\) −9.35909 + 4.16694i −0.405387 + 0.180490i
\(534\) −7.39957 0.953499i −0.320211 0.0412619i
\(535\) −38.8784 13.9676i −1.68086 0.603874i
\(536\) 4.26746 4.73949i 0.184326 0.204715i
\(537\) 4.80286 + 11.5056i 0.207259 + 0.496504i
\(538\) 15.2518 + 16.9389i 0.657553 + 0.730287i
\(539\) 0.0116636 + 0.0358970i 0.000502388 + 0.00154619i
\(540\) −0.435026 + 0.0473405i −0.0187205 + 0.00203721i
\(541\) 2.06074 6.34232i 0.0885983 0.272678i −0.896934 0.442164i \(-0.854211\pi\)
0.985533 + 0.169486i \(0.0542109\pi\)
\(542\) −18.6996 + 8.32561i −0.803218 + 0.357616i
\(543\) 9.04442 7.76774i 0.388133 0.333345i
\(544\) −0.0748810 + 0.712445i −0.00321050 + 0.0305458i
\(545\) −6.18886 + 7.98968i −0.265101 + 0.342240i
\(546\) −27.3400 25.8023i −1.17004 1.10424i
\(547\) 3.31270 + 31.5182i 0.141641 + 1.34762i 0.802293 + 0.596930i \(0.203613\pi\)
−0.660652 + 0.750692i \(0.729720\pi\)
\(548\) −0.130266 0.400917i −0.00556467 0.0171263i
\(549\) 24.8718 + 19.9155i 1.06150 + 0.849973i
\(550\) −0.100553 0.201884i −0.00428762 0.00860834i
\(551\) 10.4754 18.1440i 0.446269 0.772961i
\(552\) −0.218629 + 9.32836i −0.00930549 + 0.397041i
\(553\) −2.02527 0.901708i −0.0861232 0.0383445i
\(554\) −20.5883 9.16651i −0.874714 0.389448i
\(555\) −25.4171 31.5045i −1.07890 1.33729i
\(556\) −0.00138610 0.000617131i −5.87836e−5 2.61722e-5i
\(557\) −23.0896 −0.978337 −0.489168 0.872189i \(-0.662700\pi\)
−0.489168 + 0.872189i \(0.662700\pi\)
\(558\) 11.3223 11.4474i 0.479310 0.484606i
\(559\) −21.7941 + 67.0755i −0.921794 + 2.83699i
\(560\) 21.7481 + 2.96426i 0.919024 + 0.125263i
\(561\) −0.161514 + 0.0882703i −0.00681913 + 0.00372678i
\(562\) 2.06239 0.438374i 0.0869965 0.0184917i
\(563\) 35.9249 7.63606i 1.51405 0.321822i 0.625364 0.780333i \(-0.284951\pi\)
0.888688 + 0.458511i \(0.151617\pi\)
\(564\) −0.176030 0.107207i −0.00741220 0.00451424i
\(565\) 8.25999 + 1.12584i 0.347501 + 0.0473643i
\(566\) −6.00856 + 18.4925i −0.252559 + 0.777296i
\(567\) 21.5402 2.50357i 0.904605 0.105140i
\(568\) −12.5879 −0.528177
\(569\) 14.5741 6.48879i 0.610976 0.272024i −0.0778335 0.996966i \(-0.524800\pi\)
0.688810 + 0.724942i \(0.258134\pi\)
\(570\) −12.2382 + 1.91553i −0.512601 + 0.0802328i
\(571\) 2.61629 + 1.16485i 0.109488 + 0.0487473i 0.460750 0.887530i \(-0.347581\pi\)
−0.351262 + 0.936277i \(0.614247\pi\)
\(572\) 0.00686088 + 0.00305466i 0.000286868 + 0.000127722i
\(573\) −17.1643 + 9.38058i −0.717047 + 0.391879i
\(574\) 2.79192 4.83575i 0.116532 0.201840i
\(575\) 9.51094 1.41749i 0.396634 0.0591133i
\(576\) 3.55334 23.2614i 0.148056 0.969223i
\(577\) 2.14710 + 6.60811i 0.0893851 + 0.275099i 0.985750 0.168218i \(-0.0538014\pi\)
−0.896365 + 0.443318i \(0.853801\pi\)
\(578\) 0.849139 + 8.07902i 0.0353195 + 0.336043i
\(579\) −37.0426 + 11.0833i −1.53944 + 0.460606i
\(580\) −0.482226 + 0.622543i −0.0200233 + 0.0258497i
\(581\) 1.40030 13.3229i 0.0580941 0.552728i
\(582\) 24.2472 + 8.51149i 1.00508 + 0.352813i
\(583\) 0.0440240 0.0196007i 0.00182329 0.000811779i
\(584\) −1.06561 + 3.27960i −0.0440951 + 0.135711i
\(585\) 34.9089 + 23.9445i 1.44330 + 0.989983i
\(586\) 7.17715 + 22.0890i 0.296485 + 0.912489i
\(587\) 0.536376 + 0.595706i 0.0221386 + 0.0245874i 0.754112 0.656745i \(-0.228067\pi\)
−0.731974 + 0.681333i \(0.761401\pi\)
\(588\) −0.0772778 0.00995792i −0.00318688 0.000410658i
\(589\) 5.63680 6.26030i 0.232260 0.257951i
\(590\) 38.5254 + 13.8408i 1.58606 + 0.569817i
\(591\) −17.4813 41.8778i −0.719085 1.72262i
\(592\) −38.8980 + 17.3185i −1.59870 + 0.711786i
\(593\) 19.9879 0.820804 0.410402 0.911905i \(-0.365388\pi\)
0.410402 + 0.911905i \(0.365388\pi\)
\(594\) −0.210716 + 0.102646i −0.00864577 + 0.00421163i
\(595\) −18.0689 + 1.33908i −0.740754 + 0.0548969i
\(596\) 0.0318674 + 0.303198i 0.00130534 + 0.0124195i
\(597\) 6.63895 27.9917i 0.271714 1.14563i
\(598\) −11.5920 + 12.8743i −0.474034 + 0.526468i
\(599\) 1.80743 + 3.13056i 0.0738495 + 0.127911i 0.900585 0.434679i \(-0.143138\pi\)
−0.826736 + 0.562590i \(0.809805\pi\)
\(600\) −24.2541 + 0.480198i −0.990170 + 0.0196040i
\(601\) 18.5936 32.2050i 0.758449 1.31367i −0.185193 0.982702i \(-0.559291\pi\)
0.943642 0.330969i \(-0.107376\pi\)
\(602\) −11.8787 36.5589i −0.484140 1.49003i
\(603\) −3.68852 + 5.74872i −0.150208 + 0.234106i
\(604\) −0.282332 + 0.205126i −0.0114879 + 0.00834646i
\(605\) 17.7628 + 17.0110i 0.722159 + 0.691596i
\(606\) −7.70745 11.1487i −0.313094 0.452884i
\(607\) −16.6597 28.8555i −0.676197 1.17121i −0.976117 0.217244i \(-0.930293\pi\)
0.299920 0.953964i \(-0.403040\pi\)
\(608\) −0.0498905 + 0.474677i −0.00202333 + 0.0192507i
\(609\) 23.6707 31.0244i 0.959187 1.25717i
\(610\) −24.4841 23.4479i −0.991333 0.949379i
\(611\) 6.16123 + 18.9623i 0.249257 + 0.767134i
\(612\) −0.0219702 0.379327i −0.000888092 0.0153334i
\(613\) 1.94595 5.98902i 0.0785962 0.241894i −0.904037 0.427455i \(-0.859410\pi\)
0.982633 + 0.185561i \(0.0594102\pi\)
\(614\) −20.0376 4.25911i −0.808650 0.171884i
\(615\) −2.26397 + 5.86595i −0.0912922 + 0.236538i
\(616\) 0.208618 0.0443432i 0.00840547 0.00178664i
\(617\) −2.76546 + 26.3116i −0.111333 + 1.05927i 0.786095 + 0.618106i \(0.212100\pi\)
−0.897428 + 0.441160i \(0.854567\pi\)
\(618\) −3.43754 + 2.95230i −0.138278 + 0.118759i
\(619\) −14.3187 + 6.37507i −0.575515 + 0.256236i −0.673789 0.738923i \(-0.735334\pi\)
0.0982741 + 0.995159i \(0.468668\pi\)
\(620\) −0.241703 + 0.204533i −0.00970701 + 0.00821423i
\(621\) −1.38599 9.89665i −0.0556178 0.397139i
\(622\) 25.8570 18.7862i 1.03677 0.753260i
\(623\) −7.11184 1.51167i −0.284930 0.0605637i
\(624\) 33.7796 29.0113i 1.35226 1.16138i
\(625\) 4.75037 + 24.5445i 0.190015 + 0.981781i
\(626\) 17.4420 + 30.2105i 0.697124 + 1.20745i
\(627\) −0.107611 + 0.0588113i −0.00429757 + 0.00234870i
\(628\) −0.0457094 0.434896i −0.00182400 0.0173542i
\(629\) 28.4353 20.6595i 1.13379 0.823748i
\(630\) −23.0640 + 0.625389i −0.918892 + 0.0249161i
\(631\) 1.57126 + 1.14159i 0.0625508 + 0.0454458i 0.618621 0.785689i \(-0.287692\pi\)
−0.556070 + 0.831135i \(0.687692\pi\)
\(632\) 1.28867 2.23204i 0.0512604 0.0887856i
\(633\) −9.47737 13.7088i −0.376692 0.544877i
\(634\) −24.1523 + 5.13373i −0.959211 + 0.203887i
\(635\) 0.680858 22.1380i 0.0270190 0.878520i
\(636\) −0.00233089 + 0.0994533i −9.24259e−5 + 0.00394358i
\(637\) 5.04353 + 5.60141i 0.199832 + 0.221936i
\(638\) −0.130340 + 0.401144i −0.00516019 + 0.0158814i
\(639\) 13.3036 2.18208i 0.526284 0.0863219i
\(640\) −6.18236 + 25.2431i −0.244379 + 0.997822i
\(641\) 11.1795 + 12.4161i 0.441563 + 0.490405i 0.922308 0.386455i \(-0.126301\pi\)
−0.480746 + 0.876860i \(0.659634\pi\)
\(642\) 19.5517 41.2825i 0.771644 1.62929i
\(643\) 15.9436 + 27.6151i 0.628753 + 1.08903i 0.987802 + 0.155713i \(0.0497676\pi\)
−0.359050 + 0.933319i \(0.616899\pi\)
\(644\) 0.0182426 0.173566i 0.000718857 0.00683947i
\(645\) 19.5811 + 38.6035i 0.771006 + 1.52001i
\(646\) −1.12429 10.6969i −0.0442344 0.420862i
\(647\) 16.4808 11.9740i 0.647928 0.470747i −0.214637 0.976694i \(-0.568857\pi\)
0.862565 + 0.505947i \(0.168857\pi\)
\(648\) 0.277025 + 25.2090i 0.0108826 + 0.990304i
\(649\) 0.405268 0.0159082
\(650\) −34.7421 28.6628i −1.36270 1.12425i
\(651\) 11.9033 10.2231i 0.466526 0.400673i
\(652\) −0.151395 + 0.168141i −0.00592907 + 0.00658490i
\(653\) 34.2553 + 15.2514i 1.34051 + 0.596835i 0.946629 0.322325i \(-0.104464\pi\)
0.393884 + 0.919160i \(0.371131\pi\)
\(654\) −8.12689 7.66981i −0.317787 0.299913i
\(655\) 0.860617 1.78332i 0.0336271 0.0696802i
\(656\) 5.35073 + 3.88754i 0.208911 + 0.151783i
\(657\) 0.557684 3.65079i 0.0217573 0.142431i
\(658\) −8.79169 6.38754i −0.342736 0.249012i
\(659\) 16.4282 + 18.2453i 0.639951 + 0.710737i 0.972645 0.232298i \(-0.0746243\pi\)
−0.332694 + 0.943035i \(0.607958\pi\)
\(660\) 0.00430616 0.00164400i 0.000167617 6.39928e-5i
\(661\) −4.46101 + 4.95445i −0.173513 + 0.192706i −0.823629 0.567130i \(-0.808054\pi\)
0.650115 + 0.759835i \(0.274721\pi\)
\(662\) 36.6030 7.78020i 1.42261 0.302386i
\(663\) −22.2957 + 29.2222i −0.865895 + 1.13490i
\(664\) 15.2338 + 3.23804i 0.591185 + 0.125660i
\(665\) −12.0387 + 0.892180i −0.466840 + 0.0345973i
\(666\) 37.4029 24.5830i 1.44933 0.952571i
\(667\) −14.5487 10.5702i −0.563327 0.409281i
\(668\) −0.254622 + 0.441018i −0.00985162 + 0.0170635i
\(669\) −19.2131 + 40.5675i −0.742820 + 1.56843i
\(670\) 4.45029 5.74523i 0.171930 0.221958i
\(671\) −0.306604 0.136509i −0.0118363 0.00526987i
\(672\) −0.205159 + 0.865010i −0.00791418 + 0.0333685i
\(673\) −11.7852 2.50502i −0.454286 0.0965614i −0.0249146 0.999690i \(-0.507931\pi\)
−0.429371 + 0.903128i \(0.641265\pi\)
\(674\) 23.0492 0.887822
\(675\) 25.5499 4.71189i 0.983417 0.181361i
\(676\) 1.01015 0.0388521
\(677\) 24.5942 + 5.22765i 0.945231 + 0.200915i 0.654647 0.755935i \(-0.272817\pi\)
0.290584 + 0.956850i \(0.406151\pi\)
\(678\) −2.12718 + 8.96881i −0.0816938 + 0.344445i
\(679\) 22.8781 + 10.1860i 0.877980 + 0.390902i
\(680\) 0.647519 21.0540i 0.0248312 0.807384i
\(681\) 14.9550 31.5768i 0.573078 1.21003i
\(682\) −0.0847974 + 0.146873i −0.00324706 + 0.00562408i
\(683\) 29.2073 + 21.2203i 1.11758 + 0.811973i 0.983841 0.179043i \(-0.0573002\pi\)
0.133743 + 0.991016i \(0.457300\pi\)
\(684\) −0.0146379 0.252732i −0.000559696 0.00966344i
\(685\) 9.47217 + 23.1664i 0.361913 + 0.885144i
\(686\) −27.5684 5.85985i −1.05257 0.223730i
\(687\) 7.31153 9.58297i 0.278952 0.365613i
\(688\) 44.5363 9.46648i 1.69793 0.360906i
\(689\) 6.43936 7.15163i 0.245320 0.272455i
\(690\) 0.537154 + 10.6189i 0.0204491 + 0.404256i
\(691\) 5.04645 + 5.60465i 0.191976 + 0.213211i 0.831447 0.555604i \(-0.187513\pi\)
−0.639471 + 0.768815i \(0.720846\pi\)
\(692\) 0.206141 + 0.149770i 0.00783629 + 0.00569340i
\(693\) −0.212793 + 0.0830279i −0.00808334 + 0.00315397i
\(694\) 21.6515 + 15.7308i 0.821881 + 0.597131i
\(695\) 0.0793621 0.0426221i 0.00301038 0.00161675i
\(696\) 32.9939 + 31.1382i 1.25063 + 1.18029i
\(697\) −4.98758 2.22061i −0.188918 0.0841117i
\(698\) 1.71851 1.90860i 0.0650465 0.0722415i
\(699\) 37.0971 31.8605i 1.40314 1.20508i
\(700\) 0.452872 + 0.0278827i 0.0171169 + 0.00105387i
\(701\) −41.9293 −1.58365 −0.791824 0.610749i \(-0.790868\pi\)
−0.791824 + 0.610749i \(0.790868\pi\)
\(702\) −30.1041 + 35.8413i −1.13620 + 1.35274i
\(703\) 18.9454 13.7647i 0.714541 0.519144i
\(704\) 0.0259086 + 0.246504i 0.000976466 + 0.00929045i
\(705\) 10.8931 + 5.57526i 0.410256 + 0.209977i
\(706\) 0.273977 2.60672i 0.0103113 0.0981052i
\(707\) −6.60415 11.4387i −0.248375 0.430197i
\(708\) −0.358093 + 0.756096i −0.0134580 + 0.0284158i
\(709\) −0.366008 0.406493i −0.0137457 0.0152662i 0.736233 0.676728i \(-0.236603\pi\)
−0.749978 + 0.661462i \(0.769936\pi\)
\(710\) −14.3046 + 1.06011i −0.536842 + 0.0397851i
\(711\) −0.975020 + 2.58233i −0.0365661 + 0.0968450i
\(712\) 2.61203 8.03900i 0.0978899 0.301274i
\(713\) −4.83833 5.37351i −0.181197 0.201240i
\(714\) 0.469405 20.0283i 0.0175670 0.749541i
\(715\) −0.419632 0.150759i −0.0156934 0.00563808i
\(716\) 0.265179 0.0563656i 0.00991021 0.00210648i
\(717\) 4.38051 + 6.33632i 0.163593 + 0.236634i
\(718\) 25.0638 43.4117i 0.935371 1.62011i
\(719\) −23.1267 16.8026i −0.862482 0.626630i 0.0660771 0.997815i \(-0.478952\pi\)
−0.928559 + 0.371185i \(0.878952\pi\)
\(720\) 2.11887 27.2463i 0.0789657 1.01541i
\(721\) −3.57254 + 2.59560i −0.133048 + 0.0966651i
\(722\) 2.08594 + 19.8464i 0.0776305 + 0.738605i
\(723\) −23.0544 + 12.5997i −0.857404 + 0.468587i
\(724\) −0.129620 0.224508i −0.00481728 0.00834378i
\(725\) 25.8206 38.9764i 0.958953 1.44755i
\(726\) −20.6302 + 17.7181i −0.765659 + 0.657581i
\(727\) −38.1196 8.10257i −1.41378 0.300508i −0.563184 0.826331i \(-0.690424\pi\)
−0.850594 + 0.525824i \(0.823757\pi\)
\(728\) 34.4571 25.0345i 1.27706 0.927841i
\(729\) −4.66270 26.5943i −0.172693 0.984976i
\(730\) −0.934734 + 3.81660i −0.0345960 + 0.141259i
\(731\) −34.3355 + 15.2872i −1.26995 + 0.565416i
\(732\) 0.525594 0.451403i 0.0194265 0.0166843i
\(733\) −1.05126 + 10.0021i −0.0388293 + 0.369436i 0.957802 + 0.287428i \(0.0928002\pi\)
−0.996632 + 0.0820086i \(0.973867\pi\)
\(734\) −33.5705 + 7.13562i −1.23911 + 0.263381i
\(735\) 4.61927 + 0.250509i 0.170384 + 0.00924016i
\(736\) 0.400729 + 0.0851776i 0.0147711 + 0.00313969i
\(737\) 0.0222324 0.0684244i 0.000818942 0.00252044i
\(738\) −6.21184 3.12222i −0.228661 0.114931i
\(739\) −12.4137 38.2054i −0.456645 1.40541i −0.869193 0.494473i \(-0.835361\pi\)
0.412548 0.910936i \(-0.364639\pi\)
\(740\) −0.775434 + 0.416454i −0.0285055 + 0.0153092i
\(741\) −14.8548 + 19.4697i −0.545707 + 0.715238i
\(742\) −0.548271 + 5.21645i −0.0201277 + 0.191502i
\(743\) 6.57831 + 11.3940i 0.241335 + 0.418004i 0.961095 0.276219i \(-0.0890815\pi\)
−0.719760 + 0.694223i \(0.755748\pi\)
\(744\) 10.3734 + 15.0049i 0.380306 + 0.550105i
\(745\) −3.21728 17.8123i −0.117872 0.652594i
\(746\) −2.32911 + 1.69220i −0.0852747 + 0.0619557i
\(747\) −16.6612 0.781410i −0.609603 0.0285903i
\(748\) 0.00123677 + 0.00380638i 4.52207e−5 + 0.000139175i
\(749\) 22.2575 38.5511i 0.813270 1.40863i
\(750\) −27.5213 + 2.58827i −1.00494 + 0.0945104i
\(751\) 6.07148 + 10.5161i 0.221552 + 0.383738i 0.955279 0.295705i \(-0.0955546\pi\)
−0.733728 + 0.679444i \(0.762221\pi\)
\(752\) 8.61288 9.56557i 0.314079 0.348821i
\(753\) 5.60987 23.6528i 0.204435 0.861957i
\(754\) 8.80442 + 83.7685i 0.320638 + 3.05067i
\(755\) 15.8166 13.3843i 0.575625 0.487103i
\(756\) 0.0331204 0.470365i 0.00120458 0.0171070i
\(757\) −10.4368 −0.379330 −0.189665 0.981849i \(-0.560740\pi\)
−0.189665 + 0.981849i \(0.560740\pi\)
\(758\) 24.5857 10.9463i 0.892993 0.397586i
\(759\) 0.0405490 + 0.0971382i 0.00147183 + 0.00352589i
\(760\) 0.431419 14.0275i 0.0156492 0.508831i
\(761\) −2.49510 + 2.77109i −0.0904473 + 0.100452i −0.786669 0.617375i \(-0.788196\pi\)
0.696222 + 0.717827i \(0.254863\pi\)
\(762\) 24.2890 + 3.12985i 0.879897 + 0.113382i
\(763\) −7.28684 8.09286i −0.263801 0.292981i
\(764\) 0.131433 + 0.404508i 0.00475507 + 0.0146346i
\(765\) 2.96532 + 22.3633i 0.107211 + 0.808548i
\(766\) 4.88115 15.0226i 0.176363 0.542790i
\(767\) 73.9342 32.9176i 2.66961 1.18859i
\(768\) −1.47670 0.518364i −0.0532856 0.0187049i
\(769\) 3.23379 30.7674i 0.116613 1.10950i −0.767117 0.641507i \(-0.778310\pi\)
0.883731 0.467996i \(-0.155024\pi\)
\(770\) 0.233334 0.0679596i 0.00840878