Properties

Label 225.2.q.a.106.17
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 106.17
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.367877 + 0.0781947i) q^{2} +(0.776923 - 1.54803i) q^{3} +(-1.69787 - 0.755941i) q^{4} +(1.98576 + 1.02799i) q^{5} +(0.406860 - 0.508733i) q^{6} +(1.17975 - 2.04339i) q^{7} +(-1.17403 - 0.852985i) q^{8} +(-1.79278 - 2.40540i) q^{9} +O(q^{10})\) \(q+(0.367877 + 0.0781947i) q^{2} +(0.776923 - 1.54803i) q^{3} +(-1.69787 - 0.755941i) q^{4} +(1.98576 + 1.02799i) q^{5} +(0.406860 - 0.508733i) q^{6} +(1.17975 - 2.04339i) q^{7} +(-1.17403 - 0.852985i) q^{8} +(-1.79278 - 2.40540i) q^{9} +(0.650132 + 0.533449i) q^{10} +(-0.366949 - 0.0779975i) q^{11} +(-2.48933 + 2.04104i) q^{12} +(-0.347527 + 0.0738691i) q^{13} +(0.593785 - 0.659465i) q^{14} +(3.13414 - 2.27534i) q^{15} +(2.12203 + 2.35675i) q^{16} +(3.45606 + 2.51098i) q^{17} +(-0.471434 - 1.02508i) q^{18} +(-3.26679 - 2.37346i) q^{19} +(-2.59447 - 3.24651i) q^{20} +(-2.24664 - 3.41384i) q^{21} +(-0.128893 - 0.0573870i) q^{22} +(3.07582 - 3.41605i) q^{23} +(-2.23258 + 1.15473i) q^{24} +(2.88648 + 4.08267i) q^{25} -0.133623 q^{26} +(-5.11648 + 0.906467i) q^{27} +(-3.54774 + 2.57759i) q^{28} +(0.0385018 + 0.366320i) q^{29} +(1.33090 - 0.591974i) q^{30} +(-0.614589 + 5.84742i) q^{31} +(2.04755 + 3.54645i) q^{32} +(-0.405834 + 0.507450i) q^{33} +(1.07506 + 1.19398i) q^{34} +(4.44328 - 2.84490i) q^{35} +(1.22557 + 5.43929i) q^{36} +(-3.03352 + 9.33621i) q^{37} +(-1.01618 - 1.12859i) q^{38} +(-0.155650 + 0.595372i) q^{39} +(-1.45449 - 2.90072i) q^{40} +(8.44348 - 1.79472i) q^{41} +(-0.559545 - 1.43155i) q^{42} +(-3.86472 + 6.69390i) q^{43} +(0.564071 + 0.409822i) q^{44} +(-1.08731 - 6.61950i) q^{45} +(1.39864 - 1.01617i) q^{46} +(0.0700054 + 0.666057i) q^{47} +(5.29697 - 1.45394i) q^{48} +(0.716381 + 1.24081i) q^{49} +(0.742627 + 1.72763i) q^{50} +(6.57216 - 3.39925i) q^{51} +(0.645896 + 0.137289i) q^{52} +(-8.98419 + 6.52740i) q^{53} +(-1.95312 - 0.0666126i) q^{54} +(-0.648493 - 0.532104i) q^{55} +(-3.12804 + 1.39270i) q^{56} +(-6.21222 + 3.21308i) q^{57} +(-0.0144804 + 0.137771i) q^{58} +(11.3428 - 2.41099i) q^{59} +(-7.04139 + 1.49402i) q^{60} +(-6.33351 - 1.34623i) q^{61} +(-0.683331 + 2.10308i) q^{62} +(-7.03019 + 0.825578i) q^{63} +(-1.48405 - 4.56744i) q^{64} +(-0.766041 - 0.210567i) q^{65} +(-0.188977 + 0.154945i) q^{66} +(1.33023 - 12.6563i) q^{67} +(-3.96980 - 6.87589i) q^{68} +(-2.89846 - 7.41547i) q^{69} +(1.85704 - 0.699135i) q^{70} +(-1.67206 + 1.21482i) q^{71} +(0.0530170 + 4.35323i) q^{72} +(1.94846 + 5.99673i) q^{73} +(-1.84600 + 3.19737i) q^{74} +(8.56267 - 1.29643i) q^{75} +(3.75239 + 6.49933i) q^{76} +(-0.592287 + 0.657802i) q^{77} +(-0.103815 + 0.206853i) q^{78} +(-1.24358 - 11.8319i) q^{79} +(1.79112 + 6.86136i) q^{80} +(-2.57187 + 8.62470i) q^{81} +3.24650 q^{82} +(-8.03305 + 3.57654i) q^{83} +(1.23385 + 7.49459i) q^{84} +(4.28165 + 8.53899i) q^{85} +(-1.94517 + 2.16033i) q^{86} +(0.596986 + 0.225001i) q^{87} +(0.364280 + 0.404574i) q^{88} +(-0.603343 - 1.85690i) q^{89} +(0.117613 - 2.52018i) q^{90} +(-0.259051 + 0.797278i) q^{91} +(-7.80469 + 3.47487i) q^{92} +(8.57449 + 5.49440i) q^{93} +(-0.0263287 + 0.250501i) q^{94} +(-4.04716 - 8.07133i) q^{95} +(7.08079 - 0.414337i) q^{96} +(-1.17621 - 11.1909i) q^{97} +(0.166516 + 0.512483i) q^{98} +(0.470245 + 1.02249i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.367877 + 0.0781947i 0.260128 + 0.0552920i 0.336130 0.941816i \(-0.390882\pi\)
−0.0760012 + 0.997108i \(0.524215\pi\)
\(3\) 0.776923 1.54803i 0.448557 0.893754i
\(4\) −1.69787 0.755941i −0.848936 0.377971i
\(5\) 1.98576 + 1.02799i 0.888059 + 0.459730i
\(6\) 0.406860 0.508733i 0.166100 0.207689i
\(7\) 1.17975 2.04339i 0.445903 0.772327i −0.552211 0.833704i \(-0.686216\pi\)
0.998115 + 0.0613768i \(0.0195491\pi\)
\(8\) −1.17403 0.852985i −0.415084 0.301576i
\(9\) −1.79278 2.40540i −0.597594 0.801799i
\(10\) 0.650132 + 0.533449i 0.205590 + 0.168692i
\(11\) −0.366949 0.0779975i −0.110639 0.0235171i 0.152259 0.988341i \(-0.451345\pi\)
−0.262899 + 0.964823i \(0.584678\pi\)
\(12\) −2.48933 + 2.04104i −0.718609 + 0.589199i
\(13\) −0.347527 + 0.0738691i −0.0963865 + 0.0204876i −0.255852 0.966716i \(-0.582356\pi\)
0.159466 + 0.987203i \(0.449023\pi\)
\(14\) 0.593785 0.659465i 0.158696 0.176249i
\(15\) 3.13414 2.27534i 0.809231 0.587491i
\(16\) 2.12203 + 2.35675i 0.530507 + 0.589187i
\(17\) 3.45606 + 2.51098i 0.838218 + 0.609001i 0.921872 0.387494i \(-0.126659\pi\)
−0.0836542 + 0.996495i \(0.526659\pi\)
\(18\) −0.471434 1.02508i −0.111118 0.241613i
\(19\) −3.26679 2.37346i −0.749452 0.544509i 0.146205 0.989254i \(-0.453294\pi\)
−0.895657 + 0.444746i \(0.853294\pi\)
\(20\) −2.59447 3.24651i −0.580140 0.725942i
\(21\) −2.24664 3.41384i −0.490258 0.744961i
\(22\) −0.128893 0.0573870i −0.0274801 0.0122349i
\(23\) 3.07582 3.41605i 0.641354 0.712295i −0.331568 0.943431i \(-0.607578\pi\)
0.972921 + 0.231136i \(0.0742442\pi\)
\(24\) −2.23258 + 1.15473i −0.455723 + 0.235709i
\(25\) 2.88648 + 4.08267i 0.577296 + 0.816535i
\(26\) −0.133623 −0.0262057
\(27\) −5.11648 + 0.906467i −0.984666 + 0.174450i
\(28\) −3.54774 + 2.57759i −0.670460 + 0.487118i
\(29\) 0.0385018 + 0.366320i 0.00714960 + 0.0680239i 0.997515 0.0704554i \(-0.0224452\pi\)
−0.990365 + 0.138479i \(0.955779\pi\)
\(30\) 1.33090 0.591974i 0.242988 0.108079i
\(31\) −0.614589 + 5.84742i −0.110383 + 1.05023i 0.789396 + 0.613884i \(0.210394\pi\)
−0.899780 + 0.436344i \(0.856273\pi\)
\(32\) 2.04755 + 3.54645i 0.361958 + 0.626930i
\(33\) −0.405834 + 0.507450i −0.0706466 + 0.0883357i
\(34\) 1.07506 + 1.19398i 0.184372 + 0.204765i
\(35\) 4.44328 2.84490i 0.751051 0.480877i
\(36\) 1.22557 + 5.43929i 0.204262 + 0.906549i
\(37\) −3.03352 + 9.33621i −0.498707 + 1.53486i 0.312391 + 0.949953i \(0.398870\pi\)
−0.811099 + 0.584910i \(0.801130\pi\)
\(38\) −1.01618 1.12859i −0.164847 0.183081i
\(39\) −0.155650 + 0.595372i −0.0249240 + 0.0953357i
\(40\) −1.45449 2.90072i −0.229975 0.458644i
\(41\) 8.44348 1.79472i 1.31865 0.280288i 0.505744 0.862683i \(-0.331218\pi\)
0.812905 + 0.582396i \(0.197885\pi\)
\(42\) −0.559545 1.43155i −0.0863397 0.220893i
\(43\) −3.86472 + 6.69390i −0.589365 + 1.02081i 0.404951 + 0.914338i \(0.367289\pi\)
−0.994316 + 0.106471i \(0.966045\pi\)
\(44\) 0.564071 + 0.409822i 0.0850370 + 0.0617830i
\(45\) −1.08731 6.61950i −0.162087 0.986776i
\(46\) 1.39864 1.01617i 0.206219 0.149827i
\(47\) 0.0700054 + 0.666057i 0.0102113 + 0.0971544i 0.998440 0.0558265i \(-0.0177794\pi\)
−0.988229 + 0.152981i \(0.951113\pi\)
\(48\) 5.29697 1.45394i 0.764551 0.209859i
\(49\) 0.716381 + 1.24081i 0.102340 + 0.177258i
\(50\) 0.742627 + 1.72763i 0.105023 + 0.244324i
\(51\) 6.57216 3.39925i 0.920286 0.475990i
\(52\) 0.645896 + 0.137289i 0.0895697 + 0.0190386i
\(53\) −8.98419 + 6.52740i −1.23407 + 0.896607i −0.997189 0.0749310i \(-0.976126\pi\)
−0.236885 + 0.971538i \(0.576126\pi\)
\(54\) −1.95312 0.0666126i −0.265785 0.00906483i
\(55\) −0.648493 0.532104i −0.0874427 0.0717489i
\(56\) −3.12804 + 1.39270i −0.418002 + 0.186107i
\(57\) −6.21222 + 3.21308i −0.822829 + 0.425583i
\(58\) −0.0144804 + 0.137771i −0.00190136 + 0.0180903i
\(59\) 11.3428 2.41099i 1.47671 0.313885i 0.601987 0.798506i \(-0.294376\pi\)
0.874724 + 0.484622i \(0.161043\pi\)
\(60\) −7.04139 + 1.49402i −0.909039 + 0.192877i
\(61\) −6.33351 1.34623i −0.810923 0.172367i −0.216254 0.976337i \(-0.569384\pi\)
−0.594670 + 0.803970i \(0.702717\pi\)
\(62\) −0.683331 + 2.10308i −0.0867831 + 0.267091i
\(63\) −7.03019 + 0.825578i −0.885721 + 0.104013i
\(64\) −1.48405 4.56744i −0.185506 0.570930i
\(65\) −0.766041 0.210567i −0.0950157 0.0261176i
\(66\) −0.188977 + 0.154945i −0.0232614 + 0.0190724i
\(67\) 1.33023 12.6563i 0.162513 1.54621i −0.544348 0.838860i \(-0.683223\pi\)
0.706861 0.707352i \(-0.250111\pi\)
\(68\) −3.96980 6.87589i −0.481409 0.833825i
\(69\) −2.89846 7.41547i −0.348934 0.892718i
\(70\) 1.85704 0.699135i 0.221958 0.0835626i
\(71\) −1.67206 + 1.21482i −0.198437 + 0.144173i −0.682567 0.730823i \(-0.739136\pi\)
0.484129 + 0.874996i \(0.339136\pi\)
\(72\) 0.0530170 + 4.35323i 0.00624812 + 0.513033i
\(73\) 1.94846 + 5.99673i 0.228050 + 0.701864i 0.997968 + 0.0637218i \(0.0202970\pi\)
−0.769918 + 0.638143i \(0.779703\pi\)
\(74\) −1.84600 + 3.19737i −0.214594 + 0.371687i
\(75\) 8.56267 1.29643i 0.988732 0.149699i
\(76\) 3.75239 + 6.49933i 0.430428 + 0.745524i
\(77\) −0.592287 + 0.657802i −0.0674974 + 0.0749635i
\(78\) −0.103815 + 0.206853i −0.0117547 + 0.0234214i
\(79\) −1.24358 11.8319i −0.139914 1.33119i −0.808912 0.587930i \(-0.799943\pi\)
0.668997 0.743265i \(-0.266724\pi\)
\(80\) 1.79112 + 6.86136i 0.200254 + 0.767123i
\(81\) −2.57187 + 8.62470i −0.285763 + 0.958300i
\(82\) 3.24650 0.358516
\(83\) −8.03305 + 3.57654i −0.881741 + 0.392577i −0.797109 0.603836i \(-0.793638\pi\)
−0.0846325 + 0.996412i \(0.526972\pi\)
\(84\) 1.23385 + 7.49459i 0.134624 + 0.817727i
\(85\) 4.28165 + 8.53899i 0.464410 + 0.926183i
\(86\) −1.94517 + 2.16033i −0.209753 + 0.232954i
\(87\) 0.596986 + 0.225001i 0.0640037 + 0.0241226i
\(88\) 0.364280 + 0.404574i 0.0388324 + 0.0431277i
\(89\) −0.603343 1.85690i −0.0639542 0.196831i 0.913974 0.405774i \(-0.132998\pi\)
−0.977928 + 0.208943i \(0.932998\pi\)
\(90\) 0.117613 2.52018i 0.0123974 0.265651i
\(91\) −0.259051 + 0.797278i −0.0271560 + 0.0835775i
\(92\) −7.80469 + 3.47487i −0.813695 + 0.362280i
\(93\) 8.57449 + 5.49440i 0.889133 + 0.569743i
\(94\) −0.0263287 + 0.250501i −0.00271560 + 0.0258372i
\(95\) −4.04716 8.07133i −0.415230 0.828101i
\(96\) 7.08079 0.414337i 0.722680 0.0422881i
\(97\) −1.17621 11.1909i −0.119426 1.13626i −0.875986 0.482336i \(-0.839788\pi\)
0.756561 0.653924i \(-0.226878\pi\)
\(98\) 0.166516 + 0.512483i 0.0168206 + 0.0517686i
\(99\) 0.470245 + 1.02249i 0.0472614 + 0.102764i
\(100\) −1.81461 9.11387i −0.181461 0.911387i
\(101\) 7.92712 13.7302i 0.788778 1.36620i −0.137938 0.990441i \(-0.544048\pi\)
0.926716 0.375762i \(-0.122619\pi\)
\(102\) 2.68355 0.736597i 0.265711 0.0729340i
\(103\) −1.29330 0.575813i −0.127432 0.0567365i 0.342030 0.939689i \(-0.388886\pi\)
−0.469462 + 0.882953i \(0.655552\pi\)
\(104\) 0.471017 + 0.209710i 0.0461870 + 0.0205638i
\(105\) −0.951908 9.08859i −0.0928967 0.886955i
\(106\) −3.81549 + 1.69876i −0.370593 + 0.164999i
\(107\) 7.97644 0.771112 0.385556 0.922684i \(-0.374010\pi\)
0.385556 + 0.922684i \(0.374010\pi\)
\(108\) 9.37235 + 2.32869i 0.901855 + 0.224078i
\(109\) 2.73023 8.40279i 0.261509 0.804841i −0.730968 0.682411i \(-0.760931\pi\)
0.992477 0.122430i \(-0.0390687\pi\)
\(110\) −0.196958 0.246458i −0.0187792 0.0234988i
\(111\) 12.0959 + 11.9495i 1.14809 + 1.13419i
\(112\) 7.31921 1.55575i 0.691600 0.147004i
\(113\) −16.2878 + 3.46209i −1.53223 + 0.325686i −0.895380 0.445302i \(-0.853096\pi\)
−0.636850 + 0.770988i \(0.719763\pi\)
\(114\) −2.53658 + 0.696256i −0.237573 + 0.0652104i
\(115\) 9.61951 3.62154i 0.897023 0.337710i
\(116\) 0.211545 0.651069i 0.0196415 0.0604503i
\(117\) 0.800724 + 0.703508i 0.0740269 + 0.0650394i
\(118\) 4.36130 0.401490
\(119\) 9.20818 4.09975i 0.844113 0.375823i
\(120\) −5.62042 0.00204349i −0.513071 0.000186545i
\(121\) −9.92043 4.41686i −0.901857 0.401533i
\(122\) −2.22469 0.990495i −0.201414 0.0896752i
\(123\) 3.78166 14.4651i 0.340981 1.30427i
\(124\) 5.46380 9.46358i 0.490664 0.849855i
\(125\) 1.53491 + 11.0745i 0.137287 + 0.990531i
\(126\) −2.65080 0.246012i −0.236152 0.0219165i
\(127\) 2.85948 + 8.80056i 0.253738 + 0.780924i 0.994076 + 0.108689i \(0.0346653\pi\)
−0.740338 + 0.672235i \(0.765335\pi\)
\(128\) −1.04491 9.94162i −0.0923575 0.878723i
\(129\) 7.35975 + 11.1833i 0.647989 + 0.984638i
\(130\) −0.265344 0.137363i −0.0232722 0.0120475i
\(131\) 1.66169 15.8099i 0.145183 1.38132i −0.642994 0.765871i \(-0.722308\pi\)
0.788177 0.615449i \(-0.211025\pi\)
\(132\) 1.07266 0.554798i 0.0933627 0.0482890i
\(133\) −8.70388 + 3.87522i −0.754722 + 0.336024i
\(134\) 1.47902 4.55194i 0.127768 0.393228i
\(135\) −11.0919 3.45965i −0.954641 0.297759i
\(136\) −1.91571 5.89594i −0.164271 0.505573i
\(137\) −4.68846 5.20706i −0.400562 0.444870i 0.508794 0.860889i \(-0.330092\pi\)
−0.909356 + 0.416019i \(0.863425\pi\)
\(138\) −0.486427 2.95463i −0.0414074 0.251515i
\(139\) −10.7197 + 11.9055i −0.909236 + 1.00981i 0.0906670 + 0.995881i \(0.471100\pi\)
−0.999903 + 0.0139277i \(0.995567\pi\)
\(140\) −9.69469 + 1.47143i −0.819351 + 0.124358i
\(141\) 1.08546 + 0.409104i 0.0914125 + 0.0344528i
\(142\) −0.710106 + 0.316160i −0.0595908 + 0.0265315i
\(143\) 0.133286 0.0111460
\(144\) 1.86459 9.32945i 0.155382 0.777454i
\(145\) −0.300117 + 0.767002i −0.0249234 + 0.0636961i
\(146\) 0.247880 + 2.35842i 0.0205147 + 0.195184i
\(147\) 2.47738 0.144965i 0.204331 0.0119565i
\(148\) 12.2081 13.5585i 1.00350 1.11450i
\(149\) 5.59996 + 9.69941i 0.458766 + 0.794606i 0.998896 0.0469753i \(-0.0149582\pi\)
−0.540130 + 0.841582i \(0.681625\pi\)
\(150\) 3.25138 + 0.192629i 0.265474 + 0.0157281i
\(151\) −1.72821 + 2.99334i −0.140640 + 0.243595i −0.927738 0.373233i \(-0.878249\pi\)
0.787098 + 0.616828i \(0.211583\pi\)
\(152\) 1.81079 + 5.57304i 0.146874 + 0.452033i
\(153\) −0.156069 12.8148i −0.0126174 1.03602i
\(154\) −0.269326 + 0.195677i −0.0217029 + 0.0157681i
\(155\) −7.23151 + 10.9798i −0.580849 + 0.881918i
\(156\) 0.714340 0.893202i 0.0571929 0.0715134i
\(157\) −0.881657 1.52708i −0.0703639 0.121874i 0.828697 0.559698i \(-0.189083\pi\)
−0.899061 + 0.437824i \(0.855749\pi\)
\(158\) 0.467707 4.44994i 0.0372088 0.354018i
\(159\) 3.12457 + 18.9791i 0.247794 + 1.50514i
\(160\) 0.420220 + 9.14725i 0.0332213 + 0.723154i
\(161\) −3.35161 10.3152i −0.264143 0.812950i
\(162\) −1.62054 + 2.97172i −0.127322 + 0.233481i
\(163\) 2.57870 7.93644i 0.201980 0.621630i −0.797844 0.602864i \(-0.794026\pi\)
0.999824 0.0187660i \(-0.00597376\pi\)
\(164\) −15.6926 3.33557i −1.22539 0.260465i
\(165\) −1.32754 + 0.590481i −0.103349 + 0.0459689i
\(166\) −3.23484 + 0.687587i −0.251072 + 0.0533671i
\(167\) −1.20283 + 11.4442i −0.0930778 + 0.885577i 0.843973 + 0.536385i \(0.180210\pi\)
−0.937051 + 0.349192i \(0.886456\pi\)
\(168\) −0.274319 + 5.92432i −0.0211641 + 0.457071i
\(169\) −11.7608 + 5.23623i −0.904675 + 0.402787i
\(170\) 0.907419 + 3.47610i 0.0695959 + 0.266605i
\(171\) 0.147522 + 12.1130i 0.0112813 + 0.926305i
\(172\) 11.6220 8.44387i 0.886169 0.643839i
\(173\) 17.7210 + 3.76672i 1.34731 + 0.286379i 0.824398 0.566011i \(-0.191514\pi\)
0.522908 + 0.852389i \(0.324847\pi\)
\(174\) 0.202024 + 0.129454i 0.0153154 + 0.00981386i
\(175\) 11.7478 1.08166i 0.888051 0.0817657i
\(176\) −0.594856 1.03032i −0.0448389 0.0776633i
\(177\) 5.08022 19.4322i 0.381853 1.46061i
\(178\) −0.0767565 0.730289i −0.00575314 0.0547375i
\(179\) −5.91468 + 4.29726i −0.442084 + 0.321193i −0.786462 0.617638i \(-0.788090\pi\)
0.344379 + 0.938831i \(0.388090\pi\)
\(180\) −3.15784 + 12.0610i −0.235371 + 0.898974i
\(181\) −7.81043 5.67461i −0.580544 0.421790i 0.258376 0.966044i \(-0.416813\pi\)
−0.838920 + 0.544254i \(0.816813\pi\)
\(182\) −0.157642 + 0.273044i −0.0116852 + 0.0202394i
\(183\) −7.00465 + 8.75854i −0.517799 + 0.647450i
\(184\) −6.52496 + 1.38692i −0.481026 + 0.102245i
\(185\) −15.6213 + 15.4210i −1.14850 + 1.13378i
\(186\) 2.72473 + 2.69174i 0.199787 + 0.197368i
\(187\) −1.07235 1.19097i −0.0784180 0.0870920i
\(188\) 0.384640 1.18380i 0.0280527 0.0863374i
\(189\) −4.18390 + 11.5243i −0.304334 + 0.838272i
\(190\) −0.857723 3.28573i −0.0622258 0.238372i
\(191\) 8.77381 + 9.74430i 0.634850 + 0.705073i 0.971629 0.236511i \(-0.0760040\pi\)
−0.336778 + 0.941584i \(0.609337\pi\)
\(192\) −8.22352 1.25120i −0.593481 0.0902973i
\(193\) 8.40007 + 14.5494i 0.604650 + 1.04729i 0.992107 + 0.125397i \(0.0400205\pi\)
−0.387456 + 0.921888i \(0.626646\pi\)
\(194\) 0.442367 4.20884i 0.0317601 0.302177i
\(195\) −0.921119 + 1.02226i −0.0659627 + 0.0732054i
\(196\) −0.278345 2.64828i −0.0198818 0.189163i
\(197\) −9.40465 + 6.83288i −0.670054 + 0.486823i −0.870043 0.492976i \(-0.835909\pi\)
0.199989 + 0.979798i \(0.435909\pi\)
\(198\) 0.0930390 + 0.412922i 0.00661199 + 0.0293451i
\(199\) 7.37976 0.523137 0.261568 0.965185i \(-0.415760\pi\)
0.261568 + 0.965185i \(0.415760\pi\)
\(200\) 0.0936376 7.25532i 0.00662118 0.513029i
\(201\) −18.5588 11.8922i −1.30904 0.838811i
\(202\) 3.98983 4.43116i 0.280724 0.311775i
\(203\) 0.793955 + 0.353492i 0.0557248 + 0.0248103i
\(204\) −13.7283 + 0.803320i −0.961174 + 0.0562437i
\(205\) 18.6117 + 5.11592i 1.29989 + 0.357312i
\(206\) −0.430749 0.312957i −0.0300117 0.0218048i
\(207\) −13.7312 1.27435i −0.954387 0.0885735i
\(208\) −0.911552 0.662281i −0.0632047 0.0459209i
\(209\) 1.01362 + 1.12574i 0.0701136 + 0.0778691i
\(210\) 0.360494 3.41792i 0.0248765 0.235859i
\(211\) 7.43482 8.25720i 0.511834 0.568449i −0.430727 0.902482i \(-0.641743\pi\)
0.942561 + 0.334033i \(0.108410\pi\)
\(212\) 20.1883 4.29116i 1.38654 0.294718i
\(213\) 0.581518 + 3.53222i 0.0398450 + 0.242024i
\(214\) 2.93435 + 0.623716i 0.200588 + 0.0426363i
\(215\) −14.5557 + 9.31958i −0.992687 + 0.635590i
\(216\) 6.78012 + 3.30005i 0.461329 + 0.224540i
\(217\) 11.2235 + 8.15434i 0.761900 + 0.553553i
\(218\) 1.66144 2.87771i 0.112527 0.194903i
\(219\) 10.7969 + 1.64273i 0.729588 + 0.111006i
\(220\) 0.698818 + 1.39367i 0.0471143 + 0.0939610i
\(221\) −1.38656 0.617335i −0.0932699 0.0415264i
\(222\) 3.51542 + 5.34178i 0.235940 + 0.358517i
\(223\) 2.95847 + 0.628841i 0.198114 + 0.0421103i 0.305900 0.952064i \(-0.401043\pi\)
−0.107786 + 0.994174i \(0.534376\pi\)
\(224\) 9.66236 0.645594
\(225\) 4.64563 14.2625i 0.309708 0.950832i
\(226\) −6.26264 −0.416585
\(227\) −8.94852 1.90207i −0.593934 0.126245i −0.0988690 0.995100i \(-0.531522\pi\)
−0.495065 + 0.868856i \(0.664856\pi\)
\(228\) 12.9765 0.759325i 0.859387 0.0502875i
\(229\) −26.9255 11.9880i −1.77929 0.792191i −0.982074 0.188497i \(-0.939638\pi\)
−0.797216 0.603694i \(-0.793695\pi\)
\(230\) 3.82198 0.580087i 0.252014 0.0382498i
\(231\) 0.558134 + 1.42794i 0.0367225 + 0.0939515i
\(232\) 0.267263 0.462913i 0.0175467 0.0303917i
\(233\) 6.59518 + 4.79168i 0.432064 + 0.313913i 0.782474 0.622683i \(-0.213958\pi\)
−0.350409 + 0.936597i \(0.613958\pi\)
\(234\) 0.239557 + 0.321417i 0.0156604 + 0.0210117i
\(235\) −0.545685 + 1.39459i −0.0355965 + 0.0909732i
\(236\) −21.0812 4.48095i −1.37227 0.291685i
\(237\) −19.2823 7.26739i −1.25252 0.472067i
\(238\) 3.70806 0.788172i 0.240358 0.0510896i
\(239\) 3.17374 3.52480i 0.205292 0.228000i −0.631703 0.775211i \(-0.717644\pi\)
0.836995 + 0.547211i \(0.184310\pi\)
\(240\) 12.0131 + 2.55804i 0.775445 + 0.165121i
\(241\) −16.7450 18.5973i −1.07864 1.19795i −0.979197 0.202911i \(-0.934960\pi\)
−0.0994459 0.995043i \(-0.531707\pi\)
\(242\) −3.30413 2.40059i −0.212397 0.154316i
\(243\) 11.3531 + 10.6821i 0.728304 + 0.685254i
\(244\) 9.73582 + 7.07349i 0.623272 + 0.452834i
\(245\) 0.147024 + 3.20038i 0.00939301 + 0.204465i
\(246\) 2.52228 5.02567i 0.160815 0.320425i
\(247\) 1.31062 + 0.583526i 0.0833928 + 0.0371288i
\(248\) 5.70932 6.34084i 0.362542 0.402644i
\(249\) −0.704470 + 15.2141i −0.0446440 + 0.964153i
\(250\) −0.301307 + 4.19407i −0.0190563 + 0.265256i
\(251\) −20.6780 −1.30518 −0.652591 0.757710i \(-0.726318\pi\)
−0.652591 + 0.757710i \(0.726318\pi\)
\(252\) 12.5604 + 3.91268i 0.791234 + 0.246476i
\(253\) −1.39511 + 1.01361i −0.0877101 + 0.0637251i
\(254\) 0.363779 + 3.46112i 0.0228255 + 0.217170i
\(255\) 16.5451 + 0.00601553i 1.03609 + 0.000376707i
\(256\) −0.611009 + 5.81337i −0.0381881 + 0.363335i
\(257\) 0.199971 + 0.346359i 0.0124738 + 0.0216053i 0.872195 0.489158i \(-0.162696\pi\)
−0.859721 + 0.510764i \(0.829363\pi\)
\(258\) 1.83300 + 4.68959i 0.114118 + 0.291961i
\(259\) 15.4987 + 17.2130i 0.963042 + 1.06957i
\(260\) 1.14146 + 0.936598i 0.0707905 + 0.0580853i
\(261\) 0.812119 0.749343i 0.0502689 0.0463832i
\(262\) 1.84755 5.68618i 0.114142 0.351293i
\(263\) 1.78686 + 1.98451i 0.110182 + 0.122370i 0.795713 0.605674i \(-0.207096\pi\)
−0.685531 + 0.728044i \(0.740430\pi\)
\(264\) 0.909310 0.249593i 0.0559641 0.0153614i
\(265\) −24.5505 + 3.72619i −1.50813 + 0.228898i
\(266\) −3.50498 + 0.745007i −0.214904 + 0.0456793i
\(267\) −3.34328 0.508676i −0.204606 0.0311304i
\(268\) −11.8260 + 20.4832i −0.722386 + 1.25121i
\(269\) 15.1805 + 11.0293i 0.925574 + 0.672469i 0.944905 0.327344i \(-0.106154\pi\)
−0.0193308 + 0.999813i \(0.506154\pi\)
\(270\) −3.80994 2.14006i −0.231866 0.130240i
\(271\) −10.8085 + 7.85283i −0.656569 + 0.477025i −0.865503 0.500905i \(-0.833001\pi\)
0.208934 + 0.977930i \(0.433001\pi\)
\(272\) 1.41611 + 13.4734i 0.0858646 + 0.816947i
\(273\) 1.03295 + 1.02044i 0.0625167 + 0.0617600i
\(274\) −1.31761 2.28217i −0.0795999 0.137871i
\(275\) −0.740753 1.72327i −0.0446691 0.103917i
\(276\) −0.684444 + 14.7816i −0.0411987 + 0.889747i
\(277\) −22.2737 4.73443i −1.33830 0.284464i −0.517500 0.855683i \(-0.673137\pi\)
−0.820798 + 0.571219i \(0.806471\pi\)
\(278\) −4.87449 + 3.54153i −0.292353 + 0.212407i
\(279\) 15.1672 9.00482i 0.908037 0.539105i
\(280\) −7.64322 0.450036i −0.456770 0.0268948i
\(281\) 8.19793 3.64996i 0.489048 0.217738i −0.147372 0.989081i \(-0.547081\pi\)
0.636420 + 0.771343i \(0.280415\pi\)
\(282\) 0.367327 + 0.235378i 0.0218740 + 0.0140165i
\(283\) 0.679692 6.46684i 0.0404035 0.384414i −0.955570 0.294765i \(-0.904759\pi\)
0.995973 0.0896492i \(-0.0285746\pi\)
\(284\) 3.75728 0.798635i 0.222954 0.0473903i
\(285\) −15.6390 0.00568608i −0.926374 0.000336815i
\(286\) 0.0490330 + 0.0104223i 0.00289938 + 0.000616282i
\(287\) 6.29389 19.3706i 0.371517 1.14341i
\(288\) 4.85983 11.2832i 0.286368 0.664867i
\(289\) 0.386075 + 1.18822i 0.0227103 + 0.0698951i
\(290\) −0.170382 + 0.258695i −0.0100052 + 0.0151911i
\(291\) −18.2376 6.87364i −1.06911 0.402940i
\(292\) 1.22495 11.6546i 0.0716847 0.682034i
\(293\) 8.56935 + 14.8426i 0.500627 + 0.867111i 1.00000 0.000723948i \(0.000230440\pi\)
−0.499373 + 0.866387i \(0.666436\pi\)
\(294\) 0.922707 + 0.140389i 0.0538134 + 0.00818763i
\(295\) 25.0026 + 6.87264i 1.45571 + 0.400141i
\(296\) 11.5251 8.37347i 0.669883 0.486698i
\(297\) 1.94819 + 0.0664446i 0.113045 + 0.00385551i
\(298\) 1.30165 + 4.00608i 0.0754028 + 0.232066i
\(299\) −0.816590 + 1.41438i −0.0472246 + 0.0817955i
\(300\) −15.5183 4.27171i −0.895951 0.246627i
\(301\) 9.11881 + 15.7942i 0.525599 + 0.910365i
\(302\) −0.869832 + 0.966046i −0.0500532 + 0.0555897i
\(303\) −15.0959 22.9387i −0.867238 1.31779i
\(304\) −1.33856 12.7355i −0.0767716 0.730433i
\(305\) −11.1929 9.18407i −0.640905 0.525878i
\(306\) 0.944638 4.72649i 0.0540014 0.270195i
\(307\) −22.7466 −1.29822 −0.649109 0.760695i \(-0.724858\pi\)
−0.649109 + 0.760695i \(0.724858\pi\)
\(308\) 1.50289 0.669129i 0.0856350 0.0381271i
\(309\) −1.89617 + 1.55470i −0.107869 + 0.0884437i
\(310\) −3.51887 + 3.47375i −0.199858 + 0.197296i
\(311\) 9.62578 10.6905i 0.545828 0.606203i −0.405609 0.914047i \(-0.632941\pi\)
0.951437 + 0.307843i \(0.0996072\pi\)
\(312\) 0.690582 0.566219i 0.0390965 0.0320558i
\(313\) 1.73060 + 1.92203i 0.0978194 + 0.108640i 0.790067 0.613021i \(-0.210046\pi\)
−0.692247 + 0.721660i \(0.743379\pi\)
\(314\) −0.204932 0.630717i −0.0115650 0.0355934i
\(315\) −14.8089 5.58755i −0.834390 0.314823i
\(316\) −6.83279 + 21.0292i −0.384374 + 1.18298i
\(317\) 14.1723 6.30993i 0.795998 0.354401i 0.0318914 0.999491i \(-0.489847\pi\)
0.764106 + 0.645090i \(0.223180\pi\)
\(318\) −0.334605 + 7.22629i −0.0187637 + 0.405230i
\(319\) 0.0144438 0.137424i 0.000808699 0.00769426i
\(320\) 1.74831 10.5954i 0.0977333 0.592302i
\(321\) 6.19708 12.3478i 0.345887 0.689184i
\(322\) −0.426387 4.05680i −0.0237616 0.226077i
\(323\) −5.33052 16.4056i −0.296598 0.912834i
\(324\) 10.8865 12.6995i 0.604804 0.705525i
\(325\) −1.30471 1.20562i −0.0723724 0.0668756i
\(326\) 1.56923 2.71799i 0.0869119 0.150536i
\(327\) −10.8866 10.7548i −0.602029 0.594742i
\(328\) −11.4438 5.09511i −0.631878 0.281330i
\(329\) 1.44360 + 0.642732i 0.0795882 + 0.0354350i
\(330\) −0.534544 + 0.113418i −0.0294257 + 0.00624344i
\(331\) 7.91509 3.52403i 0.435053 0.193698i −0.177511 0.984119i \(-0.556805\pi\)
0.612564 + 0.790421i \(0.290138\pi\)
\(332\) 16.3427 0.896924
\(333\) 27.8957 9.44096i 1.52868 0.517362i
\(334\) −1.33737 + 4.11600i −0.0731775 + 0.225217i
\(335\) 15.6520 23.7649i 0.855162 1.29841i
\(336\) 3.27812 12.5390i 0.178836 0.684061i
\(337\) 16.1508 3.43295i 0.879789 0.187005i 0.254194 0.967153i \(-0.418190\pi\)
0.625594 + 0.780148i \(0.284856\pi\)
\(338\) −4.73597 + 1.00666i −0.257603 + 0.0547551i
\(339\) −7.29499 + 27.9038i −0.396209 + 1.51553i
\(340\) −0.814727 17.7348i −0.0441848 0.961803i
\(341\) 0.681607 2.09777i 0.0369111 0.113601i
\(342\) −0.892903 + 4.46764i −0.0482827 + 0.241582i
\(343\) 19.8971 1.07434
\(344\) 10.2471 4.56231i 0.552487 0.245983i
\(345\) 1.86737 17.7049i 0.100536 0.953201i
\(346\) 6.22463 + 2.77138i 0.334638 + 0.148990i
\(347\) 0.512906 + 0.228361i 0.0275342 + 0.0122590i 0.420458 0.907312i \(-0.361870\pi\)
−0.392923 + 0.919571i \(0.628536\pi\)
\(348\) −0.843519 0.833309i −0.0452174 0.0446700i
\(349\) −17.9910 + 31.1614i −0.963037 + 1.66803i −0.248239 + 0.968699i \(0.579852\pi\)
−0.714798 + 0.699331i \(0.753481\pi\)
\(350\) 4.40633 + 0.520699i 0.235528 + 0.0278325i
\(351\) 1.71115 0.692971i 0.0913345 0.0369880i
\(352\) −0.474731 1.46107i −0.0253032 0.0778754i
\(353\) −1.37659 13.0974i −0.0732685 0.697103i −0.968077 0.250653i \(-0.919355\pi\)
0.894809 0.446450i \(-0.147312\pi\)
\(354\) 3.38839 6.75141i 0.180091 0.358833i
\(355\) −4.56914 + 0.693488i −0.242505 + 0.0368065i
\(356\) −0.379307 + 3.60887i −0.0201033 + 0.191270i
\(357\) 0.807526 17.4397i 0.0427388 0.923007i
\(358\) −2.51190 + 1.11837i −0.132758 + 0.0591077i
\(359\) 11.4732 35.3108i 0.605532 1.86364i 0.112438 0.993659i \(-0.464134\pi\)
0.493093 0.869976i \(-0.335866\pi\)
\(360\) −4.36979 + 8.69897i −0.230308 + 0.458476i
\(361\) −0.832742 2.56292i −0.0438285 0.134890i
\(362\) −2.42955 2.69829i −0.127694 0.141819i
\(363\) −14.5448 + 11.9255i −0.763406 + 0.625929i
\(364\) 1.04253 1.15785i 0.0546435 0.0606877i
\(365\) −2.29541 + 13.9111i −0.120147 + 0.728138i
\(366\) −3.26172 + 2.67434i −0.170493 + 0.139790i
\(367\) 23.4860 10.4566i 1.22596 0.545832i 0.311397 0.950280i \(-0.399203\pi\)
0.914561 + 0.404448i \(0.132536\pi\)
\(368\) 14.5778 0.759918
\(369\) −19.4543 17.0924i −1.01275 0.889794i
\(370\) −6.95258 + 4.45154i −0.361448 + 0.231425i
\(371\) 2.73890 + 26.0589i 0.142196 + 1.35291i
\(372\) −10.4049 15.8106i −0.539471 0.819741i
\(373\) −3.11442 + 3.45891i −0.161259 + 0.179096i −0.818359 0.574707i \(-0.805116\pi\)
0.657101 + 0.753803i \(0.271783\pi\)
\(374\) −0.301366 0.521981i −0.0155833 0.0269910i
\(375\) 18.3361 + 6.22793i 0.946873 + 0.321609i
\(376\) 0.485948 0.841686i 0.0250609 0.0434067i
\(377\) −0.0404401 0.124462i −0.00208277 0.00641011i
\(378\) −2.44030 + 3.91238i −0.125516 + 0.201231i
\(379\) 20.4895 14.8865i 1.05247 0.764666i 0.0797917 0.996812i \(-0.474574\pi\)
0.972681 + 0.232145i \(0.0745745\pi\)
\(380\) 0.770107 + 16.7635i 0.0395056 + 0.859950i
\(381\) 15.8451 + 2.41081i 0.811770 + 0.123510i
\(382\) 2.46573 + 4.27077i 0.126158 + 0.218512i
\(383\) −0.712744 + 6.78131i −0.0364195 + 0.346509i 0.961105 + 0.276184i \(0.0890701\pi\)
−0.997524 + 0.0703242i \(0.977597\pi\)
\(384\) −16.2017 6.10633i −0.826790 0.311612i
\(385\) −1.85235 + 0.697371i −0.0944046 + 0.0355413i
\(386\) 1.95251 + 6.00922i 0.0993803 + 0.305861i
\(387\) 23.0301 2.70450i 1.17068 0.137477i
\(388\) −6.46258 + 19.8898i −0.328088 + 1.00975i
\(389\) 2.17285 + 0.461853i 0.110168 + 0.0234169i 0.262666 0.964887i \(-0.415398\pi\)
−0.152498 + 0.988304i \(0.548732\pi\)
\(390\) −0.418794 + 0.304039i −0.0212064 + 0.0153956i
\(391\) 19.2079 4.08276i 0.971383 0.206474i
\(392\) 0.217336 2.06781i 0.0109771 0.104440i
\(393\) −23.1832 14.8554i −1.16944 0.749358i
\(394\) −3.99405 + 1.77827i −0.201217 + 0.0895878i
\(395\) 9.69362 24.7737i 0.487739 1.24650i
\(396\) −0.0254724 2.09154i −0.00128003 0.105104i
\(397\) −18.7858 + 13.6487i −0.942831 + 0.685007i −0.949100 0.314974i \(-0.898004\pi\)
0.00626974 + 0.999980i \(0.498004\pi\)
\(398\) 2.71484 + 0.577058i 0.136083 + 0.0289253i
\(399\) −0.763300 + 16.4846i −0.0382128 + 0.825262i
\(400\) −3.49665 + 15.4663i −0.174833 + 0.773313i
\(401\) 7.72116 + 13.3734i 0.385576 + 0.667837i 0.991849 0.127419i \(-0.0406694\pi\)
−0.606273 + 0.795257i \(0.707336\pi\)
\(402\) −5.89745 5.82607i −0.294138 0.290578i
\(403\) −0.218358 2.07753i −0.0108772 0.103489i
\(404\) −23.8384 + 17.3196i −1.18601 + 0.861684i
\(405\) −13.9732 + 14.4827i −0.694334 + 0.719653i
\(406\) 0.264437 + 0.192125i 0.0131238 + 0.00953499i
\(407\) 1.84135 3.18931i 0.0912722 0.158088i
\(408\) −10.6154 1.61512i −0.525542 0.0799605i
\(409\) 26.5034 5.63347i 1.31051 0.278557i 0.500888 0.865512i \(-0.333007\pi\)
0.809620 + 0.586955i \(0.199673\pi\)
\(410\) 6.44677 + 3.33737i 0.318383 + 0.164821i
\(411\) −11.7033 + 3.21238i −0.577279 + 0.158455i
\(412\) 1.76057 + 1.95531i 0.0867371 + 0.0963314i
\(413\) 8.45511 26.0221i 0.416049 1.28047i
\(414\) −4.95176 1.54251i −0.243366 0.0758104i
\(415\) −19.6283 1.15573i −0.963517 0.0567323i
\(416\) −0.973550 1.08124i −0.0477322 0.0530120i
\(417\) 10.1016 + 25.8441i 0.494677 + 1.26559i
\(418\) 0.284861 + 0.493394i 0.0139330 + 0.0241327i
\(419\) −1.68365 + 16.0188i −0.0822516 + 0.782572i 0.873188 + 0.487384i \(0.162049\pi\)
−0.955439 + 0.295188i \(0.904618\pi\)
\(420\) −5.25422 + 16.1508i −0.256380 + 0.788080i
\(421\) −1.78347 16.9686i −0.0869212 0.827000i −0.947945 0.318435i \(-0.896843\pi\)
0.861024 0.508565i \(-0.169824\pi\)
\(422\) 3.38077 2.45627i 0.164573 0.119570i
\(423\) 1.47663 1.36248i 0.0717960 0.0662463i
\(424\) 16.1155 0.782639
\(425\) −0.275646 + 21.3579i −0.0133708 + 1.03601i
\(426\) −0.0622739 + 1.34490i −0.00301718 + 0.0651604i
\(427\) −10.2228 + 11.3536i −0.494717 + 0.549439i
\(428\) −13.5430 6.02972i −0.654624 0.291458i
\(429\) 0.103553 0.206331i 0.00499959 0.00996175i
\(430\) −6.08344 + 2.29028i −0.293369 + 0.110447i
\(431\) 8.91750 + 6.47894i 0.429541 + 0.312080i 0.781465 0.623949i \(-0.214473\pi\)
−0.351925 + 0.936028i \(0.614473\pi\)
\(432\) −12.9936 10.1347i −0.625155 0.487606i
\(433\) 14.8065 + 10.7575i 0.711555 + 0.516975i 0.883675 0.468101i \(-0.155062\pi\)
−0.172120 + 0.985076i \(0.555062\pi\)
\(434\) 3.49124 + 3.87741i 0.167585 + 0.186122i
\(435\) 0.954173 + 1.06049i 0.0457491 + 0.0508467i
\(436\) −10.9876 + 12.2030i −0.526211 + 0.584416i
\(437\) −18.1559 + 3.85916i −0.868515 + 0.184609i
\(438\) 3.84348 + 1.44859i 0.183649 + 0.0692161i
\(439\) 20.6213 + 4.38319i 0.984200 + 0.209198i 0.671784 0.740747i \(-0.265528\pi\)
0.312416 + 0.949945i \(0.398862\pi\)
\(440\) 0.307475 + 1.17786i 0.0146583 + 0.0561524i
\(441\) 1.70032 3.94768i 0.0809678 0.187985i
\(442\) −0.461810 0.335525i −0.0219661 0.0159593i
\(443\) −15.9033 + 27.5452i −0.755586 + 1.30871i 0.189496 + 0.981882i \(0.439315\pi\)
−0.945082 + 0.326833i \(0.894019\pi\)
\(444\) −11.5042 29.4325i −0.545964 1.39680i
\(445\) 0.710777 4.30758i 0.0336940 0.204199i
\(446\) 1.03918 + 0.462673i 0.0492066 + 0.0219082i
\(447\) 19.3657 1.13320i 0.915966 0.0535983i
\(448\) −11.0839 2.35595i −0.523663 0.111308i
\(449\) −14.3360 −0.676559 −0.338280 0.941046i \(-0.609845\pi\)
−0.338280 + 0.941046i \(0.609845\pi\)
\(450\) 2.82427 4.88358i 0.133137 0.230214i
\(451\) −3.23831 −0.152486
\(452\) 30.2718 + 6.43447i 1.42387 + 0.302652i
\(453\) 3.29110 + 5.00091i 0.154629 + 0.234963i
\(454\) −3.14323 1.39945i −0.147519 0.0656796i
\(455\) −1.33401 + 1.31690i −0.0625392 + 0.0617373i
\(456\) 10.0341 + 1.52667i 0.469888 + 0.0714928i
\(457\) −11.2914 + 19.5574i −0.528191 + 0.914854i 0.471268 + 0.881990i \(0.343796\pi\)
−0.999460 + 0.0328645i \(0.989537\pi\)
\(458\) −8.96789 6.51556i −0.419042 0.304452i
\(459\) −19.9590 9.71454i −0.931605 0.453436i
\(460\) −19.0704 1.12287i −0.889160 0.0523541i
\(461\) 25.8932 + 5.50378i 1.20597 + 0.256337i 0.766692 0.642015i \(-0.221901\pi\)
0.439277 + 0.898352i \(0.355235\pi\)
\(462\) 0.0936675 + 0.568949i 0.00435780 + 0.0264699i
\(463\) −5.61991 + 1.19455i −0.261179 + 0.0555154i −0.336640 0.941633i \(-0.609291\pi\)
0.0754608 + 0.997149i \(0.475957\pi\)
\(464\) −0.781622 + 0.868080i −0.0362859 + 0.0402996i
\(465\) 11.3787 + 19.7250i 0.527674 + 0.914726i
\(466\) 2.05153 + 2.27846i 0.0950354 + 0.105547i
\(467\) −14.6975 10.6783i −0.680118 0.494135i 0.193279 0.981144i \(-0.438088\pi\)
−0.873397 + 0.487009i \(0.838088\pi\)
\(468\) −0.827715 1.79977i −0.0382611 0.0831943i
\(469\) −24.2924 17.6494i −1.12172 0.814975i
\(470\) −0.309795 + 0.470369i −0.0142898 + 0.0216965i
\(471\) −3.04893 + 0.178410i −0.140487 + 0.00822071i
\(472\) −15.3734 6.84468i −0.707618 0.315052i
\(473\) 1.94026 2.15488i 0.0892134 0.0990816i
\(474\) −6.52525 4.18128i −0.299715 0.192053i
\(475\) 0.260550 20.1882i 0.0119548 0.926296i
\(476\) −18.7335 −0.858648
\(477\) 31.8077 + 9.90835i 1.45637 + 0.453672i
\(478\) 1.44317 1.04852i 0.0660090 0.0479583i
\(479\) 0.0346271 + 0.329455i 0.00158215 + 0.0150532i 0.995284 0.0969989i \(-0.0309243\pi\)
−0.993702 + 0.112052i \(0.964258\pi\)
\(480\) 14.4867 + 6.45620i 0.661224 + 0.294684i
\(481\) 0.364571 3.46866i 0.0166230 0.158157i
\(482\) −4.70591 8.15088i −0.214348 0.371262i
\(483\) −18.5721 2.82572i −0.845061 0.128575i
\(484\) 13.5047 + 14.9985i 0.613852 + 0.681751i
\(485\) 9.16841 23.4315i 0.416316 1.06397i
\(486\) 3.34128 + 4.81744i 0.151564 + 0.218524i
\(487\) −6.16698 + 18.9800i −0.279452 + 0.860066i 0.708555 + 0.705656i \(0.249348\pi\)
−0.988007 + 0.154410i \(0.950652\pi\)
\(488\) 6.28744 + 6.98291i 0.284619 + 0.316102i
\(489\) −10.2824 10.1579i −0.464985 0.459356i
\(490\) −0.196166 + 1.18884i −0.00886188 + 0.0537065i
\(491\) −35.3373 + 7.51118i −1.59475 + 0.338975i −0.917797 0.397050i \(-0.870034\pi\)
−0.676954 + 0.736025i \(0.736701\pi\)
\(492\) −17.3555 + 21.7012i −0.782448 + 0.978364i
\(493\) −0.786756 + 1.36270i −0.0354337 + 0.0613730i
\(494\) 0.436519 + 0.317149i 0.0196399 + 0.0142692i
\(495\) −0.117316 + 2.51383i −0.00527296 + 0.112988i
\(496\) −15.0851 + 10.9600i −0.677340 + 0.492117i
\(497\) 0.509741 + 4.84986i 0.0228650 + 0.217546i
\(498\) −1.44882 + 5.54183i −0.0649231 + 0.248335i
\(499\) −13.7067 23.7407i −0.613596 1.06278i −0.990629 0.136579i \(-0.956389\pi\)
0.377033 0.926200i \(-0.376944\pi\)
\(500\) 5.76557 19.9633i 0.257844 0.892788i
\(501\) 16.7814 + 10.7533i 0.749737 + 0.480420i
\(502\) −7.60696 1.61691i −0.339515 0.0721662i
\(503\) −1.33405 + 0.969242i −0.0594822 + 0.0432164i −0.617129 0.786862i \(-0.711704\pi\)
0.557647 + 0.830078i \(0.311704\pi\)
\(504\) 8.95788 + 5.02739i 0.399016 + 0.223938i
\(505\) 29.8558 19.1158i 1.32857 0.850643i
\(506\) −0.592490 + 0.263794i −0.0263394 + 0.0117271i
\(507\) −1.03138 + 22.2742i −0.0458051 + 0.989230i
\(508\) 1.79768 17.1038i 0.0797594 0.758860i
\(509\) −24.1747 + 5.13850i −1.07153 + 0.227760i −0.709713 0.704491i \(-0.751176\pi\)
−0.361813 + 0.932251i \(0.617842\pi\)
\(510\) 6.08610 + 1.29595i 0.269497 + 0.0573857i
\(511\) 14.5523 + 3.09319i 0.643757 + 0.136835i
\(512\) −6.85745 + 21.1051i −0.303059 + 0.932721i
\(513\) 18.8659 + 9.18251i 0.832949 + 0.405418i
\(514\) 0.0464812 + 0.143054i 0.00205020 + 0.00630986i
\(515\) −1.97625 2.47292i −0.0870839 0.108970i
\(516\) −4.04196 24.5514i −0.177937 1.08082i
\(517\) 0.0262623 0.249869i 0.00115502 0.0109892i
\(518\) 4.35565 + 7.54420i 0.191376 + 0.331473i
\(519\) 19.5989 24.5062i 0.860295 1.07570i
\(520\) 0.719747 + 0.900634i 0.0315630 + 0.0394954i
\(521\) 0.868044 0.630671i 0.0380297 0.0276302i −0.568608 0.822609i \(-0.692518\pi\)
0.606638 + 0.794978i \(0.292518\pi\)
\(522\) 0.357355 0.212163i 0.0156410 0.00928612i
\(523\) −4.86221 14.9643i −0.212610 0.654345i −0.999315 0.0370160i \(-0.988215\pi\)
0.786705 0.617329i \(-0.211785\pi\)
\(524\) −14.7727 + 25.5871i −0.645349 + 1.11778i
\(525\) 7.45270 19.0263i 0.325263 0.830376i
\(526\) 0.502166 + 0.869777i 0.0218955 + 0.0379241i
\(527\) −16.8068 + 18.6658i −0.732116 + 0.813097i
\(528\) −2.05712 + 0.120374i −0.0895247 + 0.00523859i
\(529\) 0.195459 + 1.85967i 0.00849823 + 0.0808553i
\(530\) −9.32295 0.548939i −0.404963 0.0238444i
\(531\) −26.1346 22.9616i −1.13415 0.996450i
\(532\) 17.7075 0.767718
\(533\) −2.80176 + 1.24742i −0.121358 + 0.0540319i
\(534\) −1.19014 0.448557i −0.0515025 0.0194110i
\(535\) 15.8393 + 8.19969i 0.684792 + 0.354503i
\(536\) −12.3574 + 13.7242i −0.533757 + 0.592797i
\(537\) 2.05704 + 12.4947i 0.0887677 + 0.539187i
\(538\) 4.72214 + 5.24447i 0.203586 + 0.226105i
\(539\) −0.166096 0.511190i −0.00715425 0.0220185i
\(540\) 16.2174 + 14.2589i 0.697885 + 0.613605i
\(541\) 5.82440 17.9257i 0.250410 0.770684i −0.744289 0.667858i \(-0.767211\pi\)
0.994699 0.102826i \(-0.0327886\pi\)
\(542\) −4.59025 + 2.04371i −0.197168 + 0.0877848i
\(543\) −14.8525 + 7.68203i −0.637384 + 0.329667i
\(544\) −1.82861 + 17.3981i −0.0784012 + 0.745937i
\(545\) 14.0596 13.8793i 0.602245 0.594523i
\(546\) 0.300204 + 0.456168i 0.0128475 + 0.0195222i
\(547\) 0.239907 + 2.28257i 0.0102577 + 0.0975955i 0.998453 0.0556048i \(-0.0177087\pi\)
−0.988195 + 0.153200i \(0.951042\pi\)
\(548\) 4.02417 + 12.3851i 0.171904 + 0.529067i
\(549\) 8.11639 + 17.6481i 0.346399 + 0.753203i
\(550\) −0.137755 0.691876i −0.00587391 0.0295017i
\(551\) 0.743668 1.28807i 0.0316813 0.0548737i
\(552\) −2.92240 + 11.1784i −0.124385 + 0.475782i
\(553\) −25.6443 11.4176i −1.09051 0.485525i
\(554\) −7.82379 3.48337i −0.332401 0.147994i
\(555\) 11.7356 + 36.1632i 0.498149 + 1.53504i
\(556\) 27.2006 12.1105i 1.15356 0.513599i
\(557\) 26.8111 1.13602 0.568012 0.823020i \(-0.307713\pi\)
0.568012 + 0.823020i \(0.307713\pi\)
\(558\) 6.28380 2.12667i 0.266014 0.0900293i
\(559\) 0.848622 2.61179i 0.0358929 0.110467i
\(560\) 16.1335 + 4.43473i 0.681764 + 0.187401i
\(561\) −2.67678 + 0.734739i −0.113014 + 0.0310207i
\(562\) 3.30124 0.701700i 0.139254 0.0295994i
\(563\) −20.7742 + 4.41570i −0.875529 + 0.186100i −0.623692 0.781670i \(-0.714368\pi\)
−0.251837 + 0.967770i \(0.581035\pi\)
\(564\) −1.53372 1.51515i −0.0645812 0.0637995i
\(565\) −35.9027 9.86884i −1.51044 0.415185i
\(566\) 0.755716 2.32586i 0.0317651 0.0977630i
\(567\) 14.5894 + 15.4303i 0.612699 + 0.648012i
\(568\) 2.99928 0.125847
\(569\) 37.4475 16.6727i 1.56988 0.698955i 0.576853 0.816848i \(-0.304281\pi\)
0.993026 + 0.117893i \(0.0376140\pi\)
\(570\) −5.75278 1.22498i −0.240958 0.0513087i
\(571\) 40.3376 + 17.9594i 1.68807 + 0.751579i 0.999655 + 0.0262671i \(0.00836204\pi\)
0.688420 + 0.725312i \(0.258305\pi\)
\(572\) −0.226303 0.100757i −0.00946220 0.00421284i
\(573\) 21.9010 6.01153i 0.914928 0.251135i
\(574\) 3.83006 6.63386i 0.159864 0.276892i
\(575\) 22.8249 + 2.69723i 0.951865 + 0.112482i
\(576\) −8.32593 + 11.7582i −0.346914 + 0.489923i
\(577\) −1.18692 3.65297i −0.0494122 0.152075i 0.923306 0.384065i \(-0.125476\pi\)
−0.972718 + 0.231990i \(0.925476\pi\)
\(578\) 0.0491159 + 0.467307i 0.00204295 + 0.0194374i
\(579\) 29.0490 1.69982i 1.20724 0.0706421i
\(580\) 1.08937 1.07540i 0.0452336 0.0446536i
\(581\) −2.16873 + 20.6340i −0.0899739 + 0.856044i
\(582\) −6.17171 3.95474i −0.255826 0.163929i
\(583\) 3.80586 1.69448i 0.157623 0.0701782i
\(584\) 2.82757 8.70237i 0.117006 0.360107i
\(585\) 0.866846 + 2.22013i 0.0358397 + 0.0917912i
\(586\) 1.99186 + 6.13031i 0.0822830 + 0.253241i
\(587\) −26.5121 29.4447i −1.09427 1.21531i −0.974942 0.222459i \(-0.928592\pi\)
−0.119332 0.992854i \(-0.538075\pi\)
\(588\) −4.31586 1.62662i −0.177983 0.0670807i
\(589\) 15.8863 17.6436i 0.654586 0.726991i
\(590\) 8.66048 + 4.48336i 0.356546 + 0.184577i
\(591\) 3.27080 + 19.8673i 0.134543 + 0.817231i
\(592\) −28.4403 + 12.6624i −1.16889 + 0.520423i
\(593\) −23.7687 −0.976065 −0.488033 0.872825i \(-0.662285\pi\)
−0.488033 + 0.872825i \(0.662285\pi\)
\(594\) 0.711499 + 0.176782i 0.0291932 + 0.00725344i
\(595\) 22.4997 + 1.32479i 0.922399 + 0.0543113i
\(596\) −2.17582 20.7016i −0.0891252 0.847970i
\(597\) 5.73350 11.4241i 0.234657 0.467556i
\(598\) −0.411002 + 0.456464i −0.0168071 + 0.0186662i
\(599\) −21.3498 36.9790i −0.872330 1.51092i −0.859580 0.511001i \(-0.829275\pi\)
−0.0127494 0.999919i \(-0.504058\pi\)
\(600\) −11.1587 5.78178i −0.455552 0.236040i
\(601\) 15.2463 26.4074i 0.621910 1.07718i −0.367220 0.930134i \(-0.619690\pi\)
0.989130 0.147045i \(-0.0469764\pi\)
\(602\) 2.11958 + 6.52338i 0.0863875 + 0.265873i
\(603\) −32.8282 + 19.4902i −1.33687 + 0.793704i
\(604\) 5.19707 3.77589i 0.211466 0.153639i
\(605\) −15.1591 18.9689i −0.616305 0.771196i
\(606\) −3.75976 9.61904i −0.152730 0.390747i
\(607\) 13.5546 + 23.4772i 0.550163 + 0.952910i 0.998262 + 0.0589263i \(0.0187677\pi\)
−0.448099 + 0.893984i \(0.647899\pi\)
\(608\) 1.72847 16.4453i 0.0700986 0.666943i
\(609\) 1.16406 0.954429i 0.0471700 0.0386754i
\(610\) −3.39948 4.25384i −0.137641 0.172233i
\(611\) −0.0735297 0.226301i −0.00297469 0.00915517i
\(612\) −9.42227 + 21.8759i −0.380873 + 0.884282i
\(613\) 6.76831 20.8307i 0.273370 0.841345i −0.716277 0.697816i \(-0.754155\pi\)
0.989646 0.143529i \(-0.0458449\pi\)
\(614\) −8.36797 1.77867i −0.337704 0.0717811i
\(615\) 22.3794 24.8367i 0.902425 1.00151i
\(616\) 1.25646 0.267069i 0.0506242 0.0107605i
\(617\) 2.94074 27.9793i 0.118390 1.12640i −0.760486 0.649354i \(-0.775039\pi\)
0.878876 0.477050i \(-0.158294\pi\)
\(618\) −0.819126 + 0.423668i −0.0329501 + 0.0170424i
\(619\) −33.5139 + 14.9214i −1.34704 + 0.599740i −0.948315 0.317332i \(-0.897213\pi\)
−0.398723 + 0.917071i \(0.630546\pi\)
\(620\) 20.5782 13.1757i 0.826442 0.529148i
\(621\) −12.6408 + 20.2663i −0.507259 + 0.813257i
\(622\) 4.37705 3.18011i 0.175504 0.127511i
\(623\) −4.50616 0.957813i −0.180535 0.0383740i
\(624\) −1.73343 + 0.896566i −0.0693929 + 0.0358914i
\(625\) −8.33647 + 23.5691i −0.333459 + 0.942765i
\(626\) 0.486357 + 0.842395i 0.0194387 + 0.0336689i
\(627\) 2.53018 0.694500i 0.101046 0.0277357i
\(628\) 0.342562 + 3.25926i 0.0136697 + 0.130059i
\(629\) −33.9270 + 24.6494i −1.35276 + 0.982837i
\(630\) −5.01096 3.21351i −0.199641 0.128029i
\(631\) −9.47939 6.88718i −0.377369 0.274174i 0.382891 0.923793i \(-0.374928\pi\)
−0.760260 + 0.649619i \(0.774928\pi\)
\(632\) −8.63244 + 14.9518i −0.343380 + 0.594752i
\(633\) −7.00610 17.9245i −0.278467 0.712436i
\(634\) 5.70708 1.21308i 0.226657 0.0481775i
\(635\) −3.36865 + 20.4153i −0.133681 + 0.810157i
\(636\) 9.04194 34.5860i 0.358536 1.37142i
\(637\) −0.340619 0.378296i −0.0134958 0.0149886i
\(638\) 0.0160594 0.0494257i 0.000635797 0.00195678i
\(639\) 5.91978 + 1.84406i 0.234183 + 0.0729499i
\(640\) 8.14493 20.8158i 0.321957 0.822817i
\(641\) −18.9229 21.0160i −0.747410 0.830083i 0.242741 0.970091i \(-0.421954\pi\)
−0.990150 + 0.140009i \(0.955287\pi\)
\(642\) 3.24529 4.05788i 0.128082 0.160152i
\(643\) −24.9228 43.1676i −0.982861 1.70237i −0.651081 0.759009i \(-0.725684\pi\)
−0.331780 0.943357i \(-0.607649\pi\)
\(644\) −2.10707 + 20.0475i −0.0830303 + 0.789981i
\(645\) 3.11834 + 29.7732i 0.122785 + 1.17232i
\(646\) −0.678141 6.45208i −0.0266811 0.253854i
\(647\) −36.4560 + 26.4868i −1.43323 + 1.04131i −0.443830 + 0.896111i \(0.646381\pi\)
−0.989403 + 0.145194i \(0.953619\pi\)
\(648\) 10.3762 7.93192i 0.407616 0.311595i
\(649\) −4.35029 −0.170764
\(650\) −0.385701 0.545540i −0.0151284 0.0213979i
\(651\) 21.3429 11.0390i 0.836495 0.432652i
\(652\) −10.3778 + 11.5257i −0.406426 + 0.451381i
\(653\) 39.5029 + 17.5878i 1.54587 + 0.688265i 0.989747 0.142835i \(-0.0456217\pi\)
0.556123 + 0.831100i \(0.312288\pi\)
\(654\) −3.16395 4.80772i −0.123720 0.187997i
\(655\) 19.5521 29.6865i 0.763965 1.15995i
\(656\) 22.1470 + 16.0907i 0.864694 + 0.628237i
\(657\) 10.9314 15.4376i 0.426473 0.602280i
\(658\) 0.480809 + 0.349328i 0.0187439 + 0.0136182i
\(659\) −22.7712 25.2900i −0.887039 0.985157i 0.112925 0.993604i \(-0.463978\pi\)
−0.999964 + 0.00844655i \(0.997311\pi\)
\(660\) 2.70036 0.000981808i 0.105111 3.82168e-5i
\(661\) −2.00144 + 2.22282i −0.0778469 + 0.0864577i −0.780810 0.624769i \(-0.785193\pi\)
0.702963 + 0.711226i \(0.251860\pi\)
\(662\) 3.18734 0.677491i 0.123880 0.0263314i
\(663\) −2.03290 + 1.66681i −0.0789513 + 0.0647334i
\(664\) 12.4818 + 2.65309i 0.484388 + 0.102960i
\(665\) −21.2675 1.25224i −0.824718 0.0485598i
\(666\) 11.0004 1.29182i 0.426258 0.0500569i
\(667\) 1.36979 + 0.995212i 0.0530385 + 0.0385347i
\(668\) 10.6934 18.5215i 0.413739 0.716617i
\(669\) 3.27196 4.09123i 0.126501 0.158176i
\(670\) 7.61632 7.51865i 0.294244 0.290471i
\(671\) 2.21908 + 0.987996i 0.0856665 + 0.0381412i
\(672\) 7.50691 14.9576i 0.289585 0.577002i
\(673\) 6.93118 + 1.47327i 0.267178 + 0.0567903i 0.339552 0.940587i \(-0.389724\pi\)
−0.0723748 + 0.997378i \(0.523058\pi\)
\(674\) 6.20994 0.239198
\(675\) −18.4694 18.2724i −0.710888 0.703305i
\(676\) 23.9266 0.920253
\(677\) 35.2596 + 7.49466i 1.35514 + 0.288043i 0.827519 0.561438i \(-0.189752\pi\)
0.527618 + 0.849482i \(0.323085\pi\)
\(678\) −4.86559 + 9.69474i −0.186862 + 0.372324i
\(679\) −24.2549 10.7990i −0.930817 0.414426i
\(680\) 2.25682 13.6772i 0.0865453 0.524498i
\(681\) −9.89676 + 12.3748i −0.379245 + 0.474203i
\(682\) 0.414783 0.718424i 0.0158828 0.0275099i
\(683\) 21.8805 + 15.8971i 0.837236 + 0.608287i 0.921597 0.388148i \(-0.126885\pi\)
−0.0843615 + 0.996435i \(0.526885\pi\)
\(684\) 8.90625 20.6779i 0.340539 0.790637i
\(685\) −3.95736 15.1597i −0.151203 0.579221i
\(686\) 7.31969 + 1.55585i 0.279467 + 0.0594026i
\(687\) −39.4769 + 32.3677i −1.50614 + 1.23491i
\(688\) −23.9769 + 5.09644i −0.914110 + 0.194300i
\(689\) 2.64007 2.93210i 0.100579 0.111704i
\(690\) 2.07139 6.36722i 0.0788566 0.242396i
\(691\) −8.47233 9.40948i −0.322303 0.357953i 0.560119 0.828412i \(-0.310755\pi\)
−0.882422 + 0.470458i \(0.844089\pi\)
\(692\) −27.2406 19.7915i −1.03553 0.752359i
\(693\) 2.64412 + 0.245392i 0.100442 + 0.00932166i
\(694\) 0.170830 + 0.124115i 0.00648462 + 0.00471135i
\(695\) −33.5255 + 12.6216i −1.27169 + 0.478766i
\(696\) −0.508960 0.773379i −0.0192921 0.0293148i
\(697\) 33.6877 + 14.9987i 1.27601 + 0.568117i
\(698\) −9.05514 + 10.0568i −0.342742 + 0.380654i
\(699\) 12.5416 6.48675i 0.474367 0.245352i
\(700\) −20.7639 7.04413i −0.784803 0.266243i
\(701\) 38.2015 1.44285 0.721426 0.692492i \(-0.243487\pi\)
0.721426 + 0.692492i \(0.243487\pi\)
\(702\) 0.683680 0.121125i 0.0258038 0.00457157i
\(703\) 32.0690 23.2995i 1.20950 0.878756i
\(704\) 0.188323 + 1.79177i 0.00709768 + 0.0675299i
\(705\) 1.73491 + 1.92823i 0.0653406 + 0.0726212i
\(706\) 0.517730 4.92587i 0.0194850 0.185388i
\(707\) −18.7040 32.3963i −0.703437 1.21839i
\(708\) −23.3151 + 29.1530i −0.876237 + 1.09564i
\(709\) 26.4187 + 29.3409i 0.992175 + 1.10192i 0.994792 + 0.101926i \(0.0325004\pi\)
−0.00261676 + 0.999997i \(0.500833\pi\)
\(710\) −1.73511 0.102164i −0.0651175 0.00383415i
\(711\) −26.2310 + 24.2034i −0.983739 + 0.907697i
\(712\) −0.875563 + 2.69470i −0.0328131 + 0.100988i
\(713\) 18.0847 + 20.0851i 0.677278 + 0.752194i
\(714\) 1.66076 6.35253i 0.0621525 0.237737i
\(715\) 0.264674 + 0.137017i 0.00989826 + 0.00512413i
\(716\) 13.2908 2.82506i 0.496702 0.105577i
\(717\) −2.99073 7.65154i −0.111691 0.285752i
\(718\) 6.98185 12.0929i 0.260560 0.451304i
\(719\) 8.24606 + 5.99111i 0.307526 + 0.223431i 0.730834 0.682555i \(-0.239131\pi\)
−0.423308 + 0.905986i \(0.639131\pi\)
\(720\) 13.2932 16.6093i 0.495408 0.618991i
\(721\) −2.70238 + 1.96339i −0.100642 + 0.0731205i
\(722\) −0.105940 1.00795i −0.00394269 0.0375122i
\(723\) −41.7987 + 11.4732i −1.55451 + 0.426691i
\(724\) 8.97143 + 15.5390i 0.333421 + 0.577501i
\(725\) −1.38443 + 1.21457i −0.0514165 + 0.0451078i
\(726\) −6.28323 + 3.24981i −0.233192 + 0.120612i
\(727\) −26.9467 5.72770i −0.999399 0.212429i −0.320966 0.947091i \(-0.604007\pi\)
−0.678433 + 0.734662i \(0.737341\pi\)
\(728\) 0.984202 0.715064i 0.0364769 0.0265020i
\(729\) 25.3566 9.27584i 0.939135 0.343549i
\(730\) −1.93220 + 4.93807i −0.0715139 + 0.182766i
\(731\) −30.1649 + 13.4303i −1.11569 + 0.496737i
\(732\) 18.5139 9.57577i 0.684295 0.353931i
\(733\) −0.396743 + 3.77476i −0.0146540 + 0.139424i −0.999403 0.0345595i \(-0.988997\pi\)
0.984749 + 0.173983i \(0.0556639\pi\)
\(734\) 9.45761 2.01028i 0.349087 0.0742007i
\(735\) 5.06850 + 2.25885i 0.186955 + 0.0833190i
\(736\) 18.4127 + 3.91375i 0.678703 + 0.144263i
\(737\) −1.47529 + 4.54046i −0.0543428 + 0.167250i
\(738\) −5.82027 7.80912i −0.214247 0.287458i
\(739\) −6.92487 21.3125i −0.254735 0.783995i −0.993882 0.110450i \(-0.964771\pi\)
0.739146 0.673545i \(-0.235229\pi\)
\(740\) 38.1804 14.3741i 1.40354 0.528403i
\(741\) 1.92156 1.57552i 0.0705904 0.0578782i
\(742\) −1.03009 + 9.80063i −0.0378157 + 0.359792i
\(743\) 0.543224 + 0.940891i 0.0199289 + 0.0345179i 0.875818 0.482642i \(-0.160323\pi\)
−0.855889 + 0.517160i \(0.826989\pi\)
\(744\) −5.38009 13.7645i −0.197244 0.504632i
\(745\) 1.14929 + 25.0174i 0.0421066 + 0.916566i
\(746\) −1.41619 + 1.02892i −0.0518505 + 0.0376716i
\(747\) 23.0045 + 12.9107i 0.841691 + 0.472378i
\(748\) 0.920413 + 2.83274i 0.0336536 + 0.103575i
\(749\) 9.41020 16.2990i 0.343841 0.595551i
\(750\) 6.25845 + 3.72490i 0.228526 + 0.136014i
\(751\) −7.82702 13.5568i −0.285612 0.494694i 0.687145 0.726520i \(-0.258863\pi\)
−0.972757 + 0.231826i \(0.925530\pi\)
\(752\) −1.42118 + 1.57838i −0.0518249 + 0.0575574i
\(753\) −16.0652 + 32.0101i −0.585448 + 1.16651i
\(754\) −0.00514473 0.0489489i −0.000187360 0.00178261i
\(755\) −6.50893 + 4.16748i −0.236884 + 0.151670i
\(756\) 15.8154 16.4041i 0.575202 0.596610i
\(757\) −8.77489 −0.318929 −0.159464 0.987204i \(-0.550977\pi\)
−0.159464 + 0.987204i \(0.550977\pi\)
\(758\) 8.70165 3.87422i 0.316058 0.140718i
\(759\) 0.485200 + 2.94717i 0.0176117 + 0.106976i
\(760\) −2.13323 + 12.9282i −0.0773803 + 0.468955i
\(761\) −12.7460 + 14.1558i −0.462041 + 0.513149i −0.928469 0.371411i \(-0.878874\pi\)
0.466427 + 0.884560i \(0.345541\pi\)
\(762\) 5.64054 + 2.12589i 0.204335 + 0.0770127i
\(763\) −13.9492 15.4921i −0.504993 0.560852i
\(764\) −7.53068 23.1771i −0.272450 0.838516i
\(765\) 12.8636 25.6076i 0.465084 0.925845i
\(766\) −0.792465 + 2.43896i −0.0286329 + 0.0881231i
\(767\) −3.76384 + 1.67577i −0.135904 + 0.0605085i
\(768\) 8.52455 + 5.46240i 0.307603 + 0.197107i
\(769\) −2.89450 + 27.5393i −0.104378 + 0.993094i 0.809504 + 0.587115i \(0.199736\pi\)
−0.913882 + 0.405979i \(0.866930\pi\)
\(770\) −0.735969 + 0.111703i −0.0265225 + 0.00402549i