Properties

Label 370.2.q.f.103.6
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.6
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.0936541 + 0.349522i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.693098 + 2.12594i) q^{5} +(-0.255868 + 0.255868i) q^{6} +(0.0100267 + 0.0374200i) q^{7} -1.00000 q^{8} +(2.48468 - 1.43453i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.0936541 + 0.349522i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.693098 + 2.12594i) q^{5} +(-0.255868 + 0.255868i) q^{6} +(0.0100267 + 0.0374200i) q^{7} -1.00000 q^{8} +(2.48468 - 1.43453i) q^{9} +(-2.18767 + 0.462729i) q^{10} +3.45168i q^{11} +(-0.349522 - 0.0936541i) q^{12} +(-1.24424 + 2.15509i) q^{13} +(-0.0273933 + 0.0273933i) q^{14} +(-0.807974 - 0.0431499i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.63142 + 0.941903i) q^{17} +(2.48468 + 1.43453i) q^{18} +(-5.26026 + 1.40948i) q^{19} +(-1.49457 - 1.66321i) q^{20} +(-0.0121401 + 0.00700907i) q^{21} +(-2.98924 + 1.72584i) q^{22} +0.905777 q^{23} +(-0.0936541 - 0.349522i) q^{24} +(-4.03923 - 2.94697i) q^{25} -2.48848 q^{26} +(1.50170 + 1.50170i) q^{27} +(-0.0374200 - 0.0100267i) q^{28} +(6.45203 - 6.45203i) q^{29} +(-0.366618 - 0.721301i) q^{30} +(4.37609 + 4.37609i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-1.20644 + 0.323264i) q^{33} +(-1.63142 - 0.941903i) q^{34} +(-0.0865021 - 0.00461965i) q^{35} +2.86906i q^{36} +(-6.07501 - 0.307010i) q^{37} +(-3.85078 - 3.85078i) q^{38} +(-0.869779 - 0.233056i) q^{39} +(0.693098 - 2.12594i) q^{40} +(8.36534 + 4.82973i) q^{41} +(-0.0121401 - 0.00700907i) q^{42} +8.19202 q^{43} +(-2.98924 - 1.72584i) q^{44} +(1.32760 + 6.27655i) q^{45} +(0.452889 + 0.784426i) q^{46} +(5.31164 - 5.31164i) q^{47} +(0.255868 - 0.255868i) q^{48} +(6.06088 - 3.49925i) q^{49} +(0.532532 - 4.97156i) q^{50} +(-0.482005 - 0.482005i) q^{51} +(-1.24424 - 2.15509i) q^{52} +(0.879138 - 3.28099i) q^{53} +(-0.549662 + 2.05137i) q^{54} +(-7.33806 - 2.39235i) q^{55} +(-0.0100267 - 0.0374200i) q^{56} +(-0.985291 - 1.70657i) q^{57} +(8.81363 + 2.36161i) q^{58} +(-1.03235 + 3.85279i) q^{59} +(0.441356 - 0.678151i) q^{60} +(-0.0232515 + 0.00623022i) q^{61} +(-1.60176 + 5.97785i) q^{62} +(0.0785932 + 0.0785932i) q^{63} +1.00000 q^{64} +(-3.71920 - 4.13886i) q^{65} +(-0.883173 - 0.883173i) q^{66} +(-14.8563 + 3.98072i) q^{67} -1.88381i q^{68} +(0.0848298 + 0.316589i) q^{69} +(-0.0392503 - 0.0772228i) q^{70} +(6.17295 - 10.6919i) q^{71} +(-2.48468 + 1.43453i) q^{72} +(6.60939 - 6.60939i) q^{73} +(-2.77163 - 5.41462i) q^{74} +(0.651739 - 1.68780i) q^{75} +(1.40948 - 5.26026i) q^{76} +(-0.129162 + 0.0346088i) q^{77} +(-0.233056 - 0.869779i) q^{78} +(4.82122 - 1.29184i) q^{79} +(2.18767 - 0.462729i) q^{80} +(3.91936 - 6.78853i) q^{81} +9.65946i q^{82} +(-3.63463 + 13.5646i) q^{83} -0.0140181i q^{84} +(-0.871692 - 4.12114i) q^{85} +(4.09601 + 7.09449i) q^{86} +(2.85938 + 1.65087i) q^{87} -3.45168i q^{88} +(2.48871 + 0.666849i) q^{89} +(-4.77185 + 4.28801i) q^{90} +(-0.0931189 - 0.0249511i) q^{91} +(-0.452889 + 0.784426i) q^{92} +(-1.11970 + 1.93938i) q^{93} +(7.25584 + 1.94420i) q^{94} +(0.649401 - 12.1599i) q^{95} +(0.349522 + 0.0936541i) q^{96} +2.55804i q^{97} +(6.06088 + 3.49925i) q^{98} +(4.95154 + 8.57632i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.0936541 + 0.349522i 0.0540712 + 0.201797i 0.987677 0.156505i \(-0.0500227\pi\)
−0.933606 + 0.358301i \(0.883356\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.693098 + 2.12594i −0.309963 + 0.950749i
\(6\) −0.255868 + 0.255868i −0.104458 + 0.104458i
\(7\) 0.0100267 + 0.0374200i 0.00378972 + 0.0141434i 0.967795 0.251740i \(-0.0810029\pi\)
−0.964005 + 0.265884i \(0.914336\pi\)
\(8\) −1.00000 −0.353553
\(9\) 2.48468 1.43453i 0.828227 0.478177i
\(10\) −2.18767 + 0.462729i −0.691801 + 0.146328i
\(11\) 3.45168i 1.04072i 0.853947 + 0.520360i \(0.174202\pi\)
−0.853947 + 0.520360i \(0.825798\pi\)
\(12\) −0.349522 0.0936541i −0.100898 0.0270356i
\(13\) −1.24424 + 2.15509i −0.345090 + 0.597714i −0.985370 0.170428i \(-0.945485\pi\)
0.640280 + 0.768142i \(0.278818\pi\)
\(14\) −0.0273933 + 0.0273933i −0.00732118 + 0.00732118i
\(15\) −0.807974 0.0431499i −0.208618 0.0111413i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.63142 + 0.941903i −0.395678 + 0.228445i −0.684618 0.728902i \(-0.740031\pi\)
0.288939 + 0.957347i \(0.406697\pi\)
\(18\) 2.48468 + 1.43453i 0.585645 + 0.338122i
\(19\) −5.26026 + 1.40948i −1.20679 + 0.323358i −0.805501 0.592595i \(-0.798104\pi\)
−0.401287 + 0.915952i \(0.631437\pi\)
\(20\) −1.49457 1.66321i −0.334196 0.371905i
\(21\) −0.0121401 + 0.00700907i −0.00264918 + 0.00152951i
\(22\) −2.98924 + 1.72584i −0.637308 + 0.367950i
\(23\) 0.905777 0.188868 0.0944338 0.995531i \(-0.469896\pi\)
0.0944338 + 0.995531i \(0.469896\pi\)
\(24\) −0.0936541 0.349522i −0.0191171 0.0713459i
\(25\) −4.03923 2.94697i −0.807846 0.589393i
\(26\) −2.48848 −0.488031
\(27\) 1.50170 + 1.50170i 0.289003 + 0.289003i
\(28\) −0.0374200 0.0100267i −0.00707171 0.00189486i
\(29\) 6.45203 6.45203i 1.19811 1.19811i 0.223380 0.974731i \(-0.428291\pi\)
0.974731 0.223380i \(-0.0717091\pi\)
\(30\) −0.366618 0.721301i −0.0669350 0.131691i
\(31\) 4.37609 + 4.37609i 0.785968 + 0.785968i 0.980831 0.194862i \(-0.0624260\pi\)
−0.194862 + 0.980831i \(0.562426\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −1.20644 + 0.323264i −0.210014 + 0.0562730i
\(34\) −1.63142 0.941903i −0.279787 0.161535i
\(35\) −0.0865021 0.00461965i −0.0146215 0.000780863i
\(36\) 2.86906i 0.478177i
\(37\) −6.07501 0.307010i −0.998725 0.0504721i
\(38\) −3.85078 3.85078i −0.624679 0.624679i
\(39\) −0.869779 0.233056i −0.139276 0.0373189i
\(40\) 0.693098 2.12594i 0.109588 0.336140i
\(41\) 8.36534 + 4.82973i 1.30645 + 0.754277i 0.981501 0.191455i \(-0.0613207\pi\)
0.324945 + 0.945733i \(0.394654\pi\)
\(42\) −0.0121401 0.00700907i −0.00187325 0.00108152i
\(43\) 8.19202 1.24927 0.624635 0.780917i \(-0.285248\pi\)
0.624635 + 0.780917i \(0.285248\pi\)
\(44\) −2.98924 1.72584i −0.450645 0.260180i
\(45\) 1.32760 + 6.27655i 0.197907 + 0.935653i
\(46\) 0.452889 + 0.784426i 0.0667748 + 0.115657i
\(47\) 5.31164 5.31164i 0.774782 0.774782i −0.204156 0.978938i \(-0.565445\pi\)
0.978938 + 0.204156i \(0.0654450\pi\)
\(48\) 0.255868 0.255868i 0.0369313 0.0369313i
\(49\) 6.06088 3.49925i 0.865840 0.499893i
\(50\) 0.532532 4.97156i 0.0753114 0.703085i
\(51\) −0.482005 0.482005i −0.0674942 0.0674942i
\(52\) −1.24424 2.15509i −0.172545 0.298857i
\(53\) 0.879138 3.28099i 0.120759 0.450678i −0.878894 0.477017i \(-0.841718\pi\)
0.999653 + 0.0263384i \(0.00838474\pi\)
\(54\) −0.549662 + 2.05137i −0.0747995 + 0.279156i
\(55\) −7.33806 2.39235i −0.989463 0.322584i
\(56\) −0.0100267 0.0374200i −0.00133987 0.00500046i
\(57\) −0.985291 1.70657i −0.130505 0.226041i
\(58\) 8.81363 + 2.36161i 1.15729 + 0.310094i
\(59\) −1.03235 + 3.85279i −0.134401 + 0.501590i 0.865599 + 0.500738i \(0.166938\pi\)
−1.00000 0.000852369i \(0.999729\pi\)
\(60\) 0.441356 0.678151i 0.0569788 0.0875489i
\(61\) −0.0232515 + 0.00623022i −0.00297705 + 0.000797698i −0.260307 0.965526i \(-0.583824\pi\)
0.257330 + 0.966324i \(0.417157\pi\)
\(62\) −1.60176 + 5.97785i −0.203424 + 0.759187i
\(63\) 0.0785932 + 0.0785932i 0.00990181 + 0.00990181i
\(64\) 1.00000 0.125000
\(65\) −3.71920 4.13886i −0.461310 0.513363i
\(66\) −0.883173 0.883173i −0.108711 0.108711i
\(67\) −14.8563 + 3.98072i −1.81498 + 0.486323i −0.996146 0.0877072i \(-0.972046\pi\)
−0.818834 + 0.574030i \(0.805379\pi\)
\(68\) 1.88381i 0.228445i
\(69\) 0.0848298 + 0.316589i 0.0102123 + 0.0381128i
\(70\) −0.0392503 0.0772228i −0.00469131 0.00922989i
\(71\) 6.17295 10.6919i 0.732595 1.26889i −0.223176 0.974778i \(-0.571642\pi\)
0.955771 0.294113i \(-0.0950242\pi\)
\(72\) −2.48468 + 1.43453i −0.292823 + 0.169061i
\(73\) 6.60939 6.60939i 0.773570 0.773570i −0.205158 0.978729i \(-0.565771\pi\)
0.978729 + 0.205158i \(0.0657710\pi\)
\(74\) −2.77163 5.41462i −0.322195 0.629437i
\(75\) 0.651739 1.68780i 0.0752563 0.194890i
\(76\) 1.40948 5.26026i 0.161679 0.603394i
\(77\) −0.129162 + 0.0346088i −0.0147193 + 0.00394404i
\(78\) −0.233056 0.869779i −0.0263885 0.0984830i
\(79\) 4.82122 1.29184i 0.542429 0.145343i 0.0228074 0.999740i \(-0.492740\pi\)
0.519622 + 0.854396i \(0.326073\pi\)
\(80\) 2.18767 0.462729i 0.244588 0.0517347i
\(81\) 3.91936 6.78853i 0.435484 0.754281i
\(82\) 9.65946i 1.06671i
\(83\) −3.63463 + 13.5646i −0.398952 + 1.48891i 0.415991 + 0.909369i \(0.363435\pi\)
−0.814943 + 0.579541i \(0.803232\pi\)
\(84\) 0.0140181i 0.00152951i
\(85\) −0.871692 4.12114i −0.0945483 0.447000i
\(86\) 4.09601 + 7.09449i 0.441684 + 0.765019i
\(87\) 2.85938 + 1.65087i 0.306558 + 0.176991i
\(88\) 3.45168i 0.367950i
\(89\) 2.48871 + 0.666849i 0.263803 + 0.0706858i 0.388296 0.921535i \(-0.373064\pi\)
−0.124493 + 0.992220i \(0.539730\pi\)
\(90\) −4.77185 + 4.28801i −0.502998 + 0.451996i
\(91\) −0.0931189 0.0249511i −0.00976152 0.00261559i
\(92\) −0.452889 + 0.784426i −0.0472169 + 0.0817821i
\(93\) −1.11970 + 1.93938i −0.116107 + 0.201104i
\(94\) 7.25584 + 1.94420i 0.748382 + 0.200528i
\(95\) 0.649401 12.1599i 0.0666271 1.24758i
\(96\) 0.349522 + 0.0936541i 0.0356729 + 0.00955853i
\(97\) 2.55804i 0.259729i 0.991532 + 0.129865i \(0.0414543\pi\)
−0.991532 + 0.129865i \(0.958546\pi\)
\(98\) 6.06088 + 3.49925i 0.612241 + 0.353478i
\(99\) 4.95154 + 8.57632i 0.497649 + 0.861953i
\(100\) 4.57176 2.02459i 0.457176 0.202459i
\(101\) 16.0383i 1.59587i −0.602741 0.797937i \(-0.705925\pi\)
0.602741 0.797937i \(-0.294075\pi\)
\(102\) 0.176426 0.658431i 0.0174688 0.0651944i
\(103\) 4.28679i 0.422390i 0.977444 + 0.211195i \(0.0677355\pi\)
−0.977444 + 0.211195i \(0.932264\pi\)
\(104\) 1.24424 2.15509i 0.122008 0.211324i
\(105\) −0.00648661 0.0306670i −0.000633028 0.00299279i
\(106\) 3.28099 0.879138i 0.318678 0.0853894i
\(107\) 1.23738 + 4.61796i 0.119622 + 0.446435i 0.999591 0.0285960i \(-0.00910364\pi\)
−0.879969 + 0.475031i \(0.842437\pi\)
\(108\) −2.05137 + 0.549662i −0.197393 + 0.0528913i
\(109\) −1.51602 + 5.65787i −0.145209 + 0.541926i 0.854537 + 0.519390i \(0.173841\pi\)
−0.999746 + 0.0225361i \(0.992826\pi\)
\(110\) −1.59719 7.55112i −0.152286 0.719971i
\(111\) −0.461643 2.15210i −0.0438172 0.204268i
\(112\) 0.0273933 0.0273933i 0.00258843 0.00258843i
\(113\) 6.40021 3.69516i 0.602081 0.347612i −0.167779 0.985825i \(-0.553659\pi\)
0.769860 + 0.638213i \(0.220326\pi\)
\(114\) 0.985291 1.70657i 0.0922810 0.159835i
\(115\) −0.627792 + 1.92563i −0.0585419 + 0.179566i
\(116\) 2.36161 + 8.81363i 0.219270 + 0.818325i
\(117\) 7.13961i 0.660057i
\(118\) −3.85279 + 1.03235i −0.354678 + 0.0950357i
\(119\) −0.0516037 0.0516037i −0.00473050 0.00473050i
\(120\) 0.807974 + 0.0431499i 0.0737576 + 0.00393903i
\(121\) −0.914082 −0.0830983
\(122\) −0.0170213 0.0170213i −0.00154103 0.00154103i
\(123\) −0.904649 + 3.37619i −0.0815694 + 0.304421i
\(124\) −5.97785 + 1.60176i −0.536826 + 0.143842i
\(125\) 9.06465 6.54462i 0.810767 0.585369i
\(126\) −0.0287671 + 0.107360i −0.00256278 + 0.00956442i
\(127\) −15.6289 4.18775i −1.38684 0.371603i −0.513240 0.858245i \(-0.671555\pi\)
−0.873602 + 0.486642i \(0.838222\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 0.767216 + 2.86329i 0.0675496 + 0.252099i
\(130\) 1.72476 5.29036i 0.151271 0.463995i
\(131\) −2.18373 + 8.14980i −0.190794 + 0.712052i 0.802522 + 0.596622i \(0.203491\pi\)
−0.993316 + 0.115429i \(0.963176\pi\)
\(132\) 0.323264 1.20644i 0.0281365 0.105007i
\(133\) −0.105486 0.182707i −0.00914677 0.0158427i
\(134\) −10.8755 10.8755i −0.939503 0.939503i
\(135\) −4.23336 + 2.15170i −0.364350 + 0.185189i
\(136\) 1.63142 0.941903i 0.139893 0.0807675i
\(137\) −5.52489 + 5.52489i −0.472023 + 0.472023i −0.902569 0.430546i \(-0.858321\pi\)
0.430546 + 0.902569i \(0.358321\pi\)
\(138\) −0.231759 + 0.231759i −0.0197287 + 0.0197287i
\(139\) −4.60322 7.97300i −0.390440 0.676261i 0.602068 0.798445i \(-0.294344\pi\)
−0.992508 + 0.122184i \(0.961010\pi\)
\(140\) 0.0472518 0.0726032i 0.00399350 0.00613609i
\(141\) 2.35399 + 1.35908i 0.198242 + 0.114455i
\(142\) 12.3459 1.03605
\(143\) −7.43867 4.29472i −0.622053 0.359142i
\(144\) −2.48468 1.43453i −0.207057 0.119544i
\(145\) 9.24473 + 18.1885i 0.767733 + 1.51047i
\(146\) 9.02859 + 2.41920i 0.747212 + 0.200215i
\(147\) 1.79069 + 1.79069i 0.147694 + 0.147694i
\(148\) 3.30338 5.10761i 0.271536 0.419843i
\(149\) 15.3857i 1.26044i −0.776415 0.630222i \(-0.782964\pi\)
0.776415 0.630222i \(-0.217036\pi\)
\(150\) 1.78754 0.279476i 0.145952 0.0228191i
\(151\) −6.97358 4.02620i −0.567502 0.327647i 0.188649 0.982045i \(-0.439589\pi\)
−0.756151 + 0.654397i \(0.772922\pi\)
\(152\) 5.26026 1.40948i 0.426664 0.114324i
\(153\) −2.70238 + 4.68066i −0.218474 + 0.378409i
\(154\) −0.0945530 0.0945530i −0.00761930 0.00761930i
\(155\) −12.3363 + 6.27024i −0.990879 + 0.503638i
\(156\) 0.636722 0.636722i 0.0509786 0.0509786i
\(157\) 1.65798 + 0.444254i 0.132321 + 0.0354553i 0.324372 0.945930i \(-0.394847\pi\)
−0.192051 + 0.981385i \(0.561514\pi\)
\(158\) 3.52938 + 3.52938i 0.280782 + 0.280782i
\(159\) 1.22911 0.0974750
\(160\) 1.49457 + 1.66321i 0.118156 + 0.131488i
\(161\) 0.00908192 + 0.0338942i 0.000715755 + 0.00267124i
\(162\) 7.83871 0.615868
\(163\) −5.35241 + 3.09022i −0.419233 + 0.242044i −0.694749 0.719252i \(-0.744485\pi\)
0.275516 + 0.961296i \(0.411151\pi\)
\(164\) −8.36534 + 4.82973i −0.653223 + 0.377139i
\(165\) 0.148940 2.78887i 0.0115949 0.217113i
\(166\) −13.5646 + 3.63463i −1.05282 + 0.282102i
\(167\) −13.9283 8.04153i −1.07781 0.622273i −0.147503 0.989062i \(-0.547124\pi\)
−0.930304 + 0.366789i \(0.880457\pi\)
\(168\) 0.0121401 0.00700907i 0.000936627 0.000540762i
\(169\) 3.40373 + 5.89544i 0.261826 + 0.453495i
\(170\) 3.13316 2.81548i 0.240303 0.215937i
\(171\) −11.0481 + 11.0481i −0.844872 + 0.844872i
\(172\) −4.09601 + 7.09449i −0.312318 + 0.540950i
\(173\) −4.27166 1.14459i −0.324768 0.0870214i 0.0927514 0.995689i \(-0.470434\pi\)
−0.417520 + 0.908668i \(0.637100\pi\)
\(174\) 3.30173i 0.250304i
\(175\) 0.0697755 0.180696i 0.00527453 0.0136593i
\(176\) 2.98924 1.72584i 0.225323 0.130090i
\(177\) −1.44332 −0.108486
\(178\) 0.666849 + 2.48871i 0.0499824 + 0.186537i
\(179\) 4.56704 4.56704i 0.341357 0.341357i −0.515520 0.856877i \(-0.672401\pi\)
0.856877 + 0.515520i \(0.172401\pi\)
\(180\) −6.09945 1.98854i −0.454626 0.148217i
\(181\) 4.88795 8.46618i 0.363319 0.629286i −0.625186 0.780476i \(-0.714977\pi\)
0.988505 + 0.151189i \(0.0483103\pi\)
\(182\) −0.0249511 0.0931189i −0.00184950 0.00690243i
\(183\) −0.00435520 0.00754342i −0.000321945 0.000557626i
\(184\) −0.905777 −0.0667748
\(185\) 4.86326 12.7023i 0.357554 0.933892i
\(186\) −2.23940 −0.164201
\(187\) −3.25115 5.63115i −0.237747 0.411790i
\(188\) 1.94420 + 7.25584i 0.141795 + 0.529186i
\(189\) −0.0411367 + 0.0712508i −0.00299225 + 0.00518274i
\(190\) 10.8555 5.51756i 0.787540 0.400286i
\(191\) −6.50378 + 6.50378i −0.470597 + 0.470597i −0.902108 0.431511i \(-0.857981\pi\)
0.431511 + 0.902108i \(0.357981\pi\)
\(192\) 0.0936541 + 0.349522i 0.00675890 + 0.0252246i
\(193\) −25.4877 −1.83465 −0.917324 0.398142i \(-0.869655\pi\)
−0.917324 + 0.398142i \(0.869655\pi\)
\(194\) −2.21533 + 1.27902i −0.159051 + 0.0918282i
\(195\) 1.09831 1.68757i 0.0786513 0.120849i
\(196\) 6.99850i 0.499893i
\(197\) 8.54797 + 2.29042i 0.609018 + 0.163186i 0.550130 0.835079i \(-0.314578\pi\)
0.0588875 + 0.998265i \(0.481245\pi\)
\(198\) −4.95154 + 8.57632i −0.351891 + 0.609493i
\(199\) −11.2939 + 11.2939i −0.800606 + 0.800606i −0.983190 0.182585i \(-0.941554\pi\)
0.182585 + 0.983190i \(0.441554\pi\)
\(200\) 4.03923 + 2.94697i 0.285617 + 0.208382i
\(201\) −2.78270 4.81978i −0.196276 0.339961i
\(202\) 13.8896 8.01916i 0.977269 0.564226i
\(203\) 0.306127 + 0.176743i 0.0214859 + 0.0124049i
\(204\) 0.658431 0.176426i 0.0460994 0.0123523i
\(205\) −16.0657 + 14.4367i −1.12208 + 1.00830i
\(206\) −3.71247 + 2.14340i −0.258660 + 0.149337i
\(207\) 2.25057 1.29937i 0.156425 0.0903122i
\(208\) 2.48848 0.172545
\(209\) −4.86508 18.1567i −0.336525 1.25593i
\(210\) 0.0233151 0.0209511i 0.00160890 0.00144576i
\(211\) 5.60994 0.386204 0.193102 0.981179i \(-0.438145\pi\)
0.193102 + 0.981179i \(0.438145\pi\)
\(212\) 2.40185 + 2.40185i 0.164960 + 0.164960i
\(213\) 4.31516 + 1.15624i 0.295670 + 0.0792246i
\(214\) −3.38058 + 3.38058i −0.231092 + 0.231092i
\(215\) −5.67787 + 17.4157i −0.387227 + 1.18774i
\(216\) −1.50170 1.50170i −0.102178 0.102178i
\(217\) −0.119876 + 0.207631i −0.00813769 + 0.0140949i
\(218\) −5.65787 + 1.51602i −0.383200 + 0.102678i
\(219\) 2.92912 + 1.69113i 0.197932 + 0.114276i
\(220\) 5.74086 5.15877i 0.387049 0.347804i
\(221\) 4.68781i 0.315336i
\(222\) 1.63295 1.47585i 0.109597 0.0990523i
\(223\) 3.95959 + 3.95959i 0.265154 + 0.265154i 0.827144 0.561990i \(-0.189964\pi\)
−0.561990 + 0.827144i \(0.689964\pi\)
\(224\) 0.0374200 + 0.0100267i 0.00250023 + 0.000669934i
\(225\) −14.2637 1.52787i −0.950915 0.101858i
\(226\) 6.40021 + 3.69516i 0.425736 + 0.245799i
\(227\) 6.73621 + 3.88915i 0.447098 + 0.258132i 0.706604 0.707610i \(-0.250226\pi\)
−0.259506 + 0.965742i \(0.583560\pi\)
\(228\) 1.97058 0.130505
\(229\) 1.63172 + 0.942077i 0.107827 + 0.0622542i 0.552944 0.833219i \(-0.313504\pi\)
−0.445116 + 0.895473i \(0.646838\pi\)
\(230\) −1.98154 + 0.419130i −0.130659 + 0.0276366i
\(231\) −0.0241931 0.0419036i −0.00159179 0.00275706i
\(232\) −6.45203 + 6.45203i −0.423596 + 0.423596i
\(233\) 6.70483 6.70483i 0.439248 0.439248i −0.452511 0.891759i \(-0.649472\pi\)
0.891759 + 0.452511i \(0.149472\pi\)
\(234\) −6.18308 + 3.56980i −0.404201 + 0.233365i
\(235\) 7.61074 + 14.9737i 0.496470 + 0.976777i
\(236\) −2.82044 2.82044i −0.183595 0.183595i
\(237\) 0.903054 + 1.56413i 0.0586596 + 0.101601i
\(238\) 0.0188883 0.0704920i 0.00122434 0.00456932i
\(239\) −1.59987 + 5.97079i −0.103487 + 0.386218i −0.998169 0.0604848i \(-0.980735\pi\)
0.894682 + 0.446703i \(0.147402\pi\)
\(240\) 0.366618 + 0.721301i 0.0236651 + 0.0465598i
\(241\) 2.30366 + 8.59737i 0.148392 + 0.553805i 0.999581 + 0.0289464i \(0.00921521\pi\)
−0.851189 + 0.524859i \(0.824118\pi\)
\(242\) −0.457041 0.791618i −0.0293797 0.0508871i
\(243\) 8.89390 + 2.38311i 0.570544 + 0.152877i
\(244\) 0.00623022 0.0232515i 0.000398849 0.00148852i
\(245\) 3.23841 + 15.3104i 0.206894 + 0.978144i
\(246\) −3.37619 + 0.904649i −0.215258 + 0.0576783i
\(247\) 3.50747 13.0901i 0.223175 0.832901i
\(248\) −4.37609 4.37609i −0.277882 0.277882i
\(249\) −5.08153 −0.322029
\(250\) 10.2001 + 4.57791i 0.645113 + 0.289532i
\(251\) −8.72161 8.72161i −0.550503 0.550503i 0.376083 0.926586i \(-0.377271\pi\)
−0.926586 + 0.376083i \(0.877271\pi\)
\(252\) −0.107360 + 0.0287671i −0.00676306 + 0.00181216i
\(253\) 3.12645i 0.196558i
\(254\) −4.18775 15.6289i −0.262763 0.980645i
\(255\) 1.35879 0.690637i 0.0850907 0.0432494i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 25.9078 14.9579i 1.61608 0.933045i 0.628161 0.778083i \(-0.283808\pi\)
0.987920 0.154962i \(-0.0495256\pi\)
\(258\) −2.09607 + 2.09607i −0.130496 + 0.130496i
\(259\) −0.0494237 0.230405i −0.00307104 0.0143167i
\(260\) 5.44396 1.15149i 0.337620 0.0714126i
\(261\) 6.77560 25.2869i 0.419399 1.56522i
\(262\) −8.14980 + 2.18373i −0.503496 + 0.134911i
\(263\) 5.33763 + 19.9203i 0.329132 + 1.22834i 0.910092 + 0.414406i \(0.136011\pi\)
−0.580960 + 0.813932i \(0.697323\pi\)
\(264\) 1.20644 0.323264i 0.0742511 0.0198955i
\(265\) 6.36585 + 4.14304i 0.391051 + 0.254505i
\(266\) 0.105486 0.182707i 0.00646775 0.0112025i
\(267\) 0.932313i 0.0570566i
\(268\) 3.98072 14.8563i 0.243161 0.907490i
\(269\) 9.11261i 0.555606i 0.960638 + 0.277803i \(0.0896062\pi\)
−0.960638 + 0.277803i \(0.910394\pi\)
\(270\) −3.98011 2.59034i −0.242222 0.157643i
\(271\) 6.57499 + 11.3882i 0.399403 + 0.691785i 0.993652 0.112495i \(-0.0358843\pi\)
−0.594250 + 0.804281i \(0.702551\pi\)
\(272\) 1.63142 + 0.941903i 0.0989196 + 0.0571112i
\(273\) 0.0348839i 0.00211127i
\(274\) −7.54713 2.02225i −0.455939 0.122168i
\(275\) 10.1720 13.9421i 0.613393 0.840742i
\(276\) −0.316589 0.0848298i −0.0190564 0.00510615i
\(277\) −8.30013 + 14.3762i −0.498707 + 0.863785i −0.999999 0.00149292i \(-0.999525\pi\)
0.501292 + 0.865278i \(0.332858\pi\)
\(278\) 4.60322 7.97300i 0.276083 0.478189i
\(279\) 17.1508 + 4.59555i 1.02679 + 0.275128i
\(280\) 0.0865021 + 0.00461965i 0.00516949 + 0.000276077i
\(281\) −28.5145 7.64045i −1.70103 0.455791i −0.727835 0.685753i \(-0.759473\pi\)
−0.973200 + 0.229962i \(0.926140\pi\)
\(282\) 2.71816i 0.161864i
\(283\) −12.9321 7.46633i −0.768731 0.443827i 0.0636908 0.997970i \(-0.479713\pi\)
−0.832422 + 0.554143i \(0.813046\pi\)
\(284\) 6.17295 + 10.6919i 0.366297 + 0.634446i
\(285\) 4.31098 0.911846i 0.255360 0.0540131i
\(286\) 8.58943i 0.507904i
\(287\) −0.0968521 + 0.361457i −0.00571700 + 0.0213361i
\(288\) 2.86906i 0.169061i
\(289\) −6.72564 + 11.6491i −0.395626 + 0.685244i
\(290\) −11.1293 + 17.1004i −0.653537 + 1.00417i
\(291\) −0.894090 + 0.239571i −0.0524125 + 0.0140439i
\(292\) 2.41920 + 9.02859i 0.141573 + 0.528358i
\(293\) −0.791535 + 0.212091i −0.0462420 + 0.0123905i −0.281866 0.959454i \(-0.590953\pi\)
0.235624 + 0.971844i \(0.424287\pi\)
\(294\) −0.655438 + 2.44613i −0.0382259 + 0.142661i
\(295\) −7.47527 4.86507i −0.435227 0.283256i
\(296\) 6.07501 + 0.307010i 0.353103 + 0.0178446i
\(297\) −5.18340 + 5.18340i −0.300771 + 0.300771i
\(298\) 13.3244 7.69284i 0.771861 0.445634i
\(299\) −1.12700 + 1.95203i −0.0651764 + 0.112889i
\(300\) 1.13580 + 1.40832i 0.0655757 + 0.0813094i
\(301\) 0.0821385 + 0.306545i 0.00473439 + 0.0176690i
\(302\) 8.05240i 0.463363i
\(303\) 5.60575 1.50206i 0.322042 0.0862908i
\(304\) 3.85078 + 3.85078i 0.220857 + 0.220857i
\(305\) 0.00287049 0.0537494i 0.000164364 0.00307768i
\(306\) −5.40476 −0.308969
\(307\) −4.35290 4.35290i −0.248433 0.248433i 0.571894 0.820327i \(-0.306209\pi\)
−0.820327 + 0.571894i \(0.806209\pi\)
\(308\) 0.0346088 0.129162i 0.00197202 0.00735967i
\(309\) −1.49833 + 0.401476i −0.0852369 + 0.0228392i
\(310\) −11.5984 7.54847i −0.658743 0.428724i
\(311\) 4.57100 17.0592i 0.259198 0.967339i −0.706509 0.707704i \(-0.749731\pi\)
0.965707 0.259635i \(-0.0836022\pi\)
\(312\) 0.869779 + 0.233056i 0.0492415 + 0.0131942i
\(313\) −4.75598 8.23759i −0.268824 0.465616i 0.699735 0.714403i \(-0.253302\pi\)
−0.968558 + 0.248787i \(0.919968\pi\)
\(314\) 0.444254 + 1.65798i 0.0250707 + 0.0935651i
\(315\) −0.221557 + 0.112612i −0.0124833 + 0.00634494i
\(316\) −1.29184 + 4.82122i −0.0726717 + 0.271215i
\(317\) 7.97887 29.7776i 0.448138 1.67247i −0.259377 0.965776i \(-0.583517\pi\)
0.707515 0.706698i \(-0.249816\pi\)
\(318\) 0.614556 + 1.06444i 0.0344626 + 0.0596910i
\(319\) 22.2703 + 22.2703i 1.24690 + 1.24690i
\(320\) −0.693098 + 2.12594i −0.0387453 + 0.118844i
\(321\) −1.49819 + 0.864981i −0.0836209 + 0.0482785i
\(322\) −0.0248123 + 0.0248123i −0.00138273 + 0.00138273i
\(323\) 7.25412 7.25412i 0.403630 0.403630i
\(324\) 3.91936 + 6.78853i 0.217742 + 0.377140i
\(325\) 11.3767 5.03816i 0.631068 0.279467i
\(326\) −5.35241 3.09022i −0.296443 0.171151i
\(327\) −2.11953 −0.117210
\(328\) −8.36534 4.82973i −0.461899 0.266677i
\(329\) 0.252020 + 0.145504i 0.0138943 + 0.00802187i
\(330\) 2.48970 1.26545i 0.137053 0.0696606i
\(331\) 30.5927 + 8.19729i 1.68153 + 0.450564i 0.968181 0.250249i \(-0.0805126\pi\)
0.713345 + 0.700813i \(0.247179\pi\)
\(332\) −9.92998 9.92998i −0.544979 0.544979i
\(333\) −15.5349 + 7.95197i −0.851306 + 0.435765i
\(334\) 16.0831i 0.880026i
\(335\) 1.83406 34.3425i 0.100206 1.87633i
\(336\) 0.0121401 + 0.00700907i 0.000662295 + 0.000382376i
\(337\) 16.7495 4.48800i 0.912401 0.244477i 0.228067 0.973646i \(-0.426760\pi\)
0.684334 + 0.729168i \(0.260093\pi\)
\(338\) −3.40373 + 5.89544i −0.185139 + 0.320669i
\(339\) 1.89095 + 1.89095i 0.102702 + 0.102702i
\(340\) 4.00486 + 1.30566i 0.217194 + 0.0708094i
\(341\) −15.1048 + 15.1048i −0.817973 + 0.817973i
\(342\) −15.0920 4.04390i −0.816084 0.218669i
\(343\) 0.383466 + 0.383466i 0.0207052 + 0.0207052i
\(344\) −8.19202 −0.441684
\(345\) −0.731844 0.0390842i −0.0394012 0.00210422i
\(346\) −1.14459 4.27166i −0.0615334 0.229646i
\(347\) 18.6679 1.00215 0.501074 0.865405i \(-0.332939\pi\)
0.501074 + 0.865405i \(0.332939\pi\)
\(348\) −2.85938 + 1.65087i −0.153279 + 0.0884957i
\(349\) −8.51145 + 4.91409i −0.455608 + 0.263045i −0.710196 0.704004i \(-0.751393\pi\)
0.254588 + 0.967050i \(0.418060\pi\)
\(350\) 0.191375 0.0299208i 0.0102294 0.00159933i
\(351\) −5.10479 + 1.36782i −0.272473 + 0.0730090i
\(352\) 2.98924 + 1.72584i 0.159327 + 0.0919875i
\(353\) 3.81914 2.20498i 0.203272 0.117359i −0.394909 0.918720i \(-0.629224\pi\)
0.598181 + 0.801361i \(0.295890\pi\)
\(354\) −0.721659 1.24995i −0.0383557 0.0664341i
\(355\) 18.4518 + 20.5338i 0.979320 + 1.08982i
\(356\) −1.82186 + 1.82186i −0.0965586 + 0.0965586i
\(357\) 0.0132037 0.0228695i 0.000698815 0.00121038i
\(358\) 6.23870 + 1.67165i 0.329725 + 0.0883496i
\(359\) 15.6181i 0.824291i −0.911118 0.412145i \(-0.864780\pi\)
0.911118 0.412145i \(-0.135220\pi\)
\(360\) −1.32760 6.27655i −0.0699706 0.330803i
\(361\) 9.22926 5.32852i 0.485751 0.280448i
\(362\) 9.77591 0.513810
\(363\) −0.0856075 0.319492i −0.00449323 0.0167690i
\(364\) 0.0681678 0.0681678i 0.00357296 0.00357296i
\(365\) 9.47020 + 18.6321i 0.495693 + 0.975249i
\(366\) 0.00435520 0.00754342i 0.000227650 0.000394301i
\(367\) −6.32485 23.6047i −0.330155 1.23215i −0.909028 0.416736i \(-0.863174\pi\)
0.578873 0.815418i \(-0.303493\pi\)
\(368\) −0.452889 0.784426i −0.0236085 0.0408910i
\(369\) 27.7136 1.44271
\(370\) 13.4322 2.13945i 0.698304 0.111225i
\(371\) 0.131589 0.00683178
\(372\) −1.11970 1.93938i −0.0580537 0.100552i
\(373\) −4.98465 18.6030i −0.258096 0.963226i −0.966342 0.257261i \(-0.917180\pi\)
0.708246 0.705965i \(-0.249487\pi\)
\(374\) 3.25115 5.63115i 0.168113 0.291180i
\(375\) 3.13643 + 2.55536i 0.161965 + 0.131958i
\(376\) −5.31164 + 5.31164i −0.273927 + 0.273927i
\(377\) 5.87681 + 21.9326i 0.302671 + 1.12958i
\(378\) −0.0822734 −0.00423169
\(379\) 13.8986 8.02439i 0.713925 0.412185i −0.0985873 0.995128i \(-0.531432\pi\)
0.812513 + 0.582943i \(0.198099\pi\)
\(380\) 10.2061 + 6.64235i 0.523561 + 0.340746i
\(381\) 5.85485i 0.299953i
\(382\) −8.88432 2.38055i −0.454562 0.121799i
\(383\) 1.35736 2.35102i 0.0693579 0.120131i −0.829261 0.558862i \(-0.811238\pi\)
0.898619 + 0.438730i \(0.144572\pi\)
\(384\) −0.255868 + 0.255868i −0.0130572 + 0.0130572i
\(385\) 0.0159455 0.298577i 0.000812660 0.0152169i
\(386\) −12.7439 22.0730i −0.648646 1.12349i
\(387\) 20.3546 11.7517i 1.03468 0.597373i
\(388\) −2.21533 1.27902i −0.112466 0.0649324i
\(389\) 11.6111 3.11119i 0.588708 0.157744i 0.0478451 0.998855i \(-0.484765\pi\)
0.540862 + 0.841111i \(0.318098\pi\)
\(390\) 2.01063 + 0.107378i 0.101812 + 0.00543728i
\(391\) −1.47771 + 0.853154i −0.0747308 + 0.0431459i
\(392\) −6.06088 + 3.49925i −0.306121 + 0.176739i
\(393\) −3.05305 −0.154006
\(394\) 2.29042 + 8.54797i 0.115390 + 0.430641i
\(395\) −0.595198 + 11.1450i −0.0299477 + 0.560765i
\(396\) −9.90308 −0.497649
\(397\) −19.3447 19.3447i −0.970884 0.970884i 0.0287044 0.999588i \(-0.490862\pi\)
−0.999588 + 0.0287044i \(0.990862\pi\)
\(398\) −15.4278 4.13387i −0.773326 0.207212i
\(399\) 0.0539808 0.0539808i 0.00270242 0.00270242i
\(400\) −0.532532 + 4.97156i −0.0266266 + 0.248578i
\(401\) 7.48958 + 7.48958i 0.374012 + 0.374012i 0.868936 0.494924i \(-0.164804\pi\)
−0.494924 + 0.868936i \(0.664804\pi\)
\(402\) 2.78270 4.81978i 0.138788 0.240389i
\(403\) −14.8758 + 3.98595i −0.741014 + 0.198554i
\(404\) 13.8896 + 8.01916i 0.691033 + 0.398968i
\(405\) 11.7155 + 13.0374i 0.582148 + 0.647835i
\(406\) 0.353485i 0.0175432i
\(407\) 1.05970 20.9690i 0.0525274 1.03939i
\(408\) 0.482005 + 0.482005i 0.0238628 + 0.0238628i
\(409\) −25.2943 6.77759i −1.25072 0.335130i −0.428107 0.903728i \(-0.640819\pi\)
−0.822616 + 0.568598i \(0.807486\pi\)
\(410\) −20.5354 6.69495i −1.01417 0.330640i
\(411\) −2.44850 1.41364i −0.120775 0.0697297i
\(412\) −3.71247 2.14340i −0.182900 0.105598i
\(413\) −0.154522 −0.00760355
\(414\) 2.25057 + 1.29937i 0.110609 + 0.0638604i
\(415\) −26.3184 17.1286i −1.29192 0.840809i
\(416\) 1.24424 + 2.15509i 0.0610039 + 0.105662i
\(417\) 2.35563 2.35563i 0.115356 0.115356i
\(418\) 13.2917 13.2917i 0.650116 0.650116i
\(419\) 6.62659 3.82586i 0.323730 0.186906i −0.329324 0.944217i \(-0.606821\pi\)
0.653054 + 0.757311i \(0.273487\pi\)
\(420\) 0.0298017 + 0.00971594i 0.00145418 + 0.000474089i
\(421\) 1.38114 + 1.38114i 0.0673126 + 0.0673126i 0.739962 0.672649i \(-0.234844\pi\)
−0.672649 + 0.739962i \(0.734844\pi\)
\(422\) 2.80497 + 4.85835i 0.136544 + 0.236501i
\(423\) 5.57802 20.8175i 0.271213 1.01218i
\(424\) −0.879138 + 3.28099i −0.0426947 + 0.159339i
\(425\) 9.36545 + 1.00319i 0.454291 + 0.0486617i
\(426\) 1.15624 + 4.31516i 0.0560203 + 0.209070i
\(427\) −0.000466269 0 0.000807602i −2.25644e−5 0 3.90826e-5i
\(428\) −4.61796 1.23738i −0.223217 0.0598109i
\(429\) 0.804436 3.00220i 0.0388385 0.144947i
\(430\) −17.9214 + 3.79069i −0.864246 + 0.182803i
\(431\) −37.4554 + 10.0361i −1.80416 + 0.483424i −0.994616 0.103630i \(-0.966954\pi\)
−0.809547 + 0.587055i \(0.800287\pi\)
\(432\) 0.549662 2.05137i 0.0264456 0.0986964i
\(433\) −3.72069 3.72069i −0.178805 0.178805i 0.612030 0.790835i \(-0.290353\pi\)
−0.790835 + 0.612030i \(0.790353\pi\)
\(434\) −0.239751 −0.0115084
\(435\) −5.49147 + 4.93467i −0.263296 + 0.236599i
\(436\) −4.14185 4.14185i −0.198359 0.198359i
\(437\) −4.76463 + 1.27668i −0.227923 + 0.0610718i
\(438\) 3.38226i 0.161611i
\(439\) 4.30777 + 16.0768i 0.205599 + 0.767305i 0.989266 + 0.146124i \(0.0466799\pi\)
−0.783668 + 0.621180i \(0.786653\pi\)
\(440\) 7.33806 + 2.39235i 0.349828 + 0.114051i
\(441\) 10.0396 17.3890i 0.478075 0.828050i
\(442\) 4.05977 2.34391i 0.193103 0.111488i
\(443\) 10.2017 10.2017i 0.484695 0.484695i −0.421932 0.906627i \(-0.638648\pi\)
0.906627 + 0.421932i \(0.138648\pi\)
\(444\) 2.09460 + 0.676256i 0.0994052 + 0.0320937i
\(445\) −3.14260 + 4.82866i −0.148974 + 0.228901i
\(446\) −1.44931 + 5.40891i −0.0686269 + 0.256119i
\(447\) 5.37763 1.44093i 0.254353 0.0681538i
\(448\) 0.0100267 + 0.0374200i 0.000473715 + 0.00176793i
\(449\) −28.9067 + 7.74552i −1.36419 + 0.365534i −0.865353 0.501162i \(-0.832906\pi\)
−0.498837 + 0.866696i \(0.666239\pi\)
\(450\) −5.80869 13.1167i −0.273824 0.618326i
\(451\) −16.6707 + 28.8745i −0.784992 + 1.35965i
\(452\) 7.39033i 0.347612i
\(453\) 0.754140 2.81449i 0.0354326 0.132236i
\(454\) 7.77830i 0.365054i
\(455\) 0.117585 0.180672i 0.00551247 0.00847001i
\(456\) 0.985291 + 1.70657i 0.0461405 + 0.0799177i
\(457\) 18.7594 + 10.8307i 0.877525 + 0.506640i 0.869842 0.493331i \(-0.164221\pi\)
0.00768374 + 0.999970i \(0.497554\pi\)
\(458\) 1.88415i 0.0880407i
\(459\) −3.86438 1.03546i −0.180374 0.0483310i
\(460\) −1.35375 1.50650i −0.0631187 0.0702408i
\(461\) 33.2879 + 8.91947i 1.55037 + 0.415421i 0.929600 0.368570i \(-0.120152\pi\)
0.620773 + 0.783991i \(0.286819\pi\)
\(462\) 0.0241931 0.0419036i 0.00112556 0.00194953i
\(463\) 20.9835 36.3444i 0.975184 1.68907i 0.295858 0.955232i \(-0.404394\pi\)
0.679326 0.733837i \(-0.262272\pi\)
\(464\) −8.81363 2.36161i −0.409163 0.109635i
\(465\) −3.34694 3.72459i −0.155210 0.172724i
\(466\) 9.15897 + 2.45414i 0.424281 + 0.113686i
\(467\) 34.0379i 1.57509i 0.616259 + 0.787544i \(0.288647\pi\)
−0.616259 + 0.787544i \(0.711353\pi\)
\(468\) −6.18308 3.56980i −0.285813 0.165014i
\(469\) −0.297917 0.516008i −0.0137565 0.0238270i
\(470\) −9.16224 + 14.0779i −0.422623 + 0.649367i
\(471\) 0.621106i 0.0286190i
\(472\) 1.03235 3.85279i 0.0475178 0.177339i
\(473\) 28.2762i 1.30014i
\(474\) −0.903054 + 1.56413i −0.0414786 + 0.0718431i
\(475\) 25.4011 + 9.80859i 1.16548 + 0.450049i
\(476\) 0.0704920 0.0188883i 0.00323099 0.000865742i
\(477\) −2.52230 9.41336i −0.115488 0.431008i
\(478\) −5.97079 + 1.59987i −0.273098 + 0.0731763i
\(479\) −1.43918 + 5.37111i −0.0657580 + 0.245412i −0.990979 0.134016i \(-0.957213\pi\)
0.925221 + 0.379428i \(0.123879\pi\)
\(480\) −0.441356 + 0.678151i −0.0201450 + 0.0309532i
\(481\) 8.22041 12.7102i 0.374818 0.579534i
\(482\) −6.29371 + 6.29371i −0.286671 + 0.286671i
\(483\) −0.0109962 + 0.00634866i −0.000500344 + 0.000288874i
\(484\) 0.457041 0.791618i 0.0207746 0.0359826i
\(485\) −5.43823 1.77297i −0.246937 0.0805064i
\(486\) 2.38311 + 8.89390i 0.108100 + 0.403436i
\(487\) 22.8368i 1.03484i −0.855733 0.517418i \(-0.826893\pi\)
0.855733 0.517418i \(-0.173107\pi\)
\(488\) 0.0232515 0.00623022i 0.00105255 0.000282029i
\(489\) −1.58137 1.58137i −0.0715122 0.0715122i
\(490\) −11.6400 + 10.4597i −0.525840 + 0.472523i
\(491\) −30.9246 −1.39561 −0.697804 0.716288i \(-0.745839\pi\)
−0.697804 + 0.716288i \(0.745839\pi\)
\(492\) −2.47155 2.47155i −0.111426 0.111426i
\(493\) −4.44881 + 16.6032i −0.200364 + 0.747769i
\(494\) 13.0901 3.50747i 0.588950 0.157809i
\(495\) −21.6646 + 4.58245i −0.973753 + 0.205966i
\(496\) 1.60176 5.97785i 0.0719211 0.268413i
\(497\) 0.461984 + 0.123788i 0.0207228 + 0.00555266i
\(498\) −2.54076 4.40073i −0.113854 0.197201i
\(499\) −7.78532 29.0552i −0.348519 1.30069i −0.888447 0.458979i \(-0.848215\pi\)
0.539928 0.841711i \(-0.318451\pi\)
\(500\) 1.13548 + 11.1225i 0.0507804 + 0.497415i
\(501\) 1.50625 5.62138i 0.0672941 0.251145i
\(502\) 3.19233 11.9139i 0.142481 0.531745i
\(503\) −10.2683 17.7851i −0.457839 0.793000i 0.541007 0.841018i \(-0.318043\pi\)
−0.998847 + 0.0480173i \(0.984710\pi\)
\(504\) −0.0785932 0.0785932i −0.00350082 0.00350082i
\(505\) 34.0965 + 11.1161i 1.51727 + 0.494661i
\(506\) −2.70759 + 1.56323i −0.120367 + 0.0694939i
\(507\) −1.74181 + 1.74181i −0.0773565 + 0.0773565i
\(508\) 11.4412 11.4412i 0.507619 0.507619i
\(509\) 3.81799 + 6.61296i 0.169230 + 0.293114i 0.938149 0.346231i \(-0.112539\pi\)
−0.768920 + 0.639345i \(0.779205\pi\)
\(510\) 1.27750 + 0.831428i 0.0565688 + 0.0368163i
\(511\) 0.313593 + 0.181053i 0.0138725 + 0.00800932i
\(512\) −1.00000 −0.0441942
\(513\) −10.0160 5.78274i −0.442217 0.255314i
\(514\) 25.9078 + 14.9579i 1.14274 + 0.659763i
\(515\) −9.11346 2.97117i −0.401587 0.130925i
\(516\) −2.86329 0.767216i −0.126049 0.0337748i
\(517\) 18.3341 + 18.3341i 0.806332 + 0.806332i
\(518\) 0.174825 0.158005i 0.00768136 0.00694233i
\(519\) 1.60023i 0.0702424i
\(520\) 3.71920 + 4.13886i 0.163098 + 0.181501i
\(521\) 19.9246 + 11.5035i 0.872915 + 0.503977i 0.868316 0.496012i \(-0.165203\pi\)
0.00459887 + 0.999989i \(0.498536\pi\)
\(522\) 25.2869 6.77560i 1.10678 0.296560i
\(523\) −4.20802 + 7.28850i −0.184004 + 0.318704i −0.943240 0.332111i \(-0.892239\pi\)
0.759237 + 0.650815i \(0.225573\pi\)
\(524\) −5.96607 5.96607i −0.260629 0.260629i
\(525\) 0.0696921 + 0.00746511i 0.00304161 + 0.000325804i
\(526\) −14.5827 + 14.5827i −0.635835 + 0.635835i
\(527\) −11.2611 3.01740i −0.490541 0.131440i
\(528\) 0.883173 + 0.883173i 0.0384352 + 0.0384352i
\(529\) −22.1796 −0.964329
\(530\) −0.405051 + 7.58451i −0.0175943 + 0.329450i
\(531\) 2.96188 + 11.0539i 0.128535 + 0.479698i
\(532\) 0.210971 0.00914677
\(533\) −20.8170 + 12.0187i −0.901684 + 0.520587i
\(534\) −0.807407 + 0.466157i −0.0349399 + 0.0201726i
\(535\) −10.6751 0.570105i −0.461525 0.0246478i
\(536\) 14.8563 3.98072i 0.641693 0.171941i
\(537\) 2.02400 + 1.16856i 0.0873422 + 0.0504271i
\(538\) −7.89176 + 4.55631i −0.340238 + 0.196436i
\(539\) 12.0783 + 20.9202i 0.520248 + 0.901097i
\(540\) 0.253249 4.74205i 0.0108981 0.204065i
\(541\) −26.2274 + 26.2274i −1.12760 + 1.12760i −0.137037 + 0.990566i \(0.543758\pi\)
−0.990566 + 0.137037i \(0.956242\pi\)
\(542\) −6.57499 + 11.3882i −0.282420 + 0.489166i
\(543\) 3.41689 + 0.915554i 0.146633 + 0.0392902i
\(544\) 1.88381i 0.0807675i
\(545\) −10.9775 7.14443i −0.470226 0.306034i
\(546\) 0.0302103 0.0174419i 0.00129288 0.000746446i
\(547\) 29.1061 1.24449 0.622244 0.782823i \(-0.286221\pi\)
0.622244 + 0.782823i \(0.286221\pi\)
\(548\) −2.02225 7.54713i −0.0863862 0.322398i
\(549\) −0.0488351 + 0.0488351i −0.00208423 + 0.00208423i
\(550\) 17.1602 + 1.83813i 0.731714 + 0.0783781i
\(551\) −24.8453 + 43.0334i −1.05845 + 1.83328i
\(552\) −0.0848298 0.316589i −0.00361059 0.0134749i
\(553\) 0.0966813 + 0.167457i 0.00411131 + 0.00712100i
\(554\) −16.6003 −0.705278
\(555\) 4.89520 + 0.510192i 0.207790 + 0.0216564i
\(556\) 9.20643 0.390440
\(557\) 3.77101 + 6.53158i 0.159783 + 0.276752i 0.934790 0.355200i \(-0.115587\pi\)
−0.775007 + 0.631952i \(0.782254\pi\)
\(558\) 4.59555 + 17.1508i 0.194545 + 0.726052i
\(559\) −10.1928 + 17.6545i −0.431111 + 0.746706i
\(560\) 0.0392503 + 0.0772228i 0.00165863 + 0.00326326i
\(561\) 1.66373 1.66373i 0.0702426 0.0702426i
\(562\) −7.64045 28.5145i −0.322293 1.20281i
\(563\) 24.0624 1.01411 0.507054 0.861914i \(-0.330734\pi\)
0.507054 + 0.861914i \(0.330734\pi\)
\(564\) −2.35399 + 1.35908i −0.0991210 + 0.0572275i
\(565\) 3.41972 + 16.1676i 0.143869 + 0.680175i
\(566\) 14.9327i 0.627666i
\(567\) 0.293325 + 0.0785961i 0.0123185 + 0.00330073i
\(568\) −6.17295 + 10.6919i −0.259011 + 0.448621i
\(569\) −12.1736 + 12.1736i −0.510346 + 0.510346i −0.914632 0.404286i \(-0.867520\pi\)
0.404286 + 0.914632i \(0.367520\pi\)
\(570\) 2.94517 + 3.27749i 0.123360 + 0.137279i
\(571\) −11.8671 20.5543i −0.496621 0.860172i 0.503372 0.864070i \(-0.332093\pi\)
−0.999992 + 0.00389768i \(0.998759\pi\)
\(572\) 7.43867 4.29472i 0.311026 0.179571i
\(573\) −2.88232 1.66411i −0.120411 0.0695191i
\(574\) −0.361457 + 0.0968521i −0.0150869 + 0.00404253i
\(575\) −3.65864 2.66929i −0.152576 0.111317i
\(576\) 2.48468 1.43453i 0.103528 0.0597722i
\(577\) −38.2570 + 22.0877i −1.59266 + 0.919523i −0.599812 + 0.800141i \(0.704758\pi\)
−0.992848 + 0.119382i \(0.961909\pi\)
\(578\) −13.4513 −0.559499
\(579\) −2.38703 8.90852i −0.0992017 0.370226i
\(580\) −20.3741 1.08808i −0.845987 0.0451800i
\(581\) −0.544031 −0.0225702
\(582\) −0.654520 0.654520i −0.0271307 0.0271307i
\(583\) 11.3249 + 3.03450i 0.469030 + 0.125676i
\(584\) −6.60939 + 6.60939i −0.273498 + 0.273498i
\(585\) −15.1784 4.94845i −0.627548 0.204593i
\(586\) −0.579444 0.579444i −0.0239366 0.0239366i
\(587\) −3.18681 + 5.51972i −0.131534 + 0.227823i −0.924268 0.381744i \(-0.875324\pi\)
0.792734 + 0.609568i \(0.208657\pi\)
\(588\) −2.44613 + 0.655438i −0.100877 + 0.0270298i
\(589\) −29.1874 16.8514i −1.20265 0.694348i
\(590\) 0.475642 8.90631i 0.0195819 0.366667i
\(591\) 3.20221i 0.131721i
\(592\) 2.77163 + 5.41462i 0.113913 + 0.222539i
\(593\) 2.13586 + 2.13586i 0.0877091 + 0.0877091i 0.749600 0.661891i \(-0.230246\pi\)
−0.661891 + 0.749600i \(0.730246\pi\)
\(594\) −7.08066 1.89726i −0.290523 0.0778454i
\(595\) 0.145473 0.0739399i 0.00596380 0.00303124i
\(596\) 13.3244 + 7.69284i 0.545788 + 0.315111i
\(597\) −5.00520 2.88975i −0.204849 0.118270i
\(598\) −2.25401 −0.0921733
\(599\) 26.1788 + 15.1143i 1.06964 + 0.617554i 0.928082 0.372377i \(-0.121457\pi\)
0.141553 + 0.989931i \(0.454790\pi\)
\(600\) −0.651739 + 1.68780i −0.0266071 + 0.0689040i
\(601\) 23.7499 + 41.1361i 0.968780 + 1.67798i 0.699098 + 0.715026i \(0.253585\pi\)
0.269682 + 0.962949i \(0.413081\pi\)
\(602\) −0.224407 + 0.224407i −0.00914613 + 0.00914613i
\(603\) −31.2026 + 31.2026i −1.27067 + 1.27067i
\(604\) 6.97358 4.02620i 0.283751 0.163824i
\(605\) 0.633548 1.94328i 0.0257574 0.0790056i
\(606\) 4.10369 + 4.10369i 0.166701 + 0.166701i
\(607\) −1.24940 2.16403i −0.0507116 0.0878351i 0.839555 0.543274i \(-0.182816\pi\)
−0.890267 + 0.455439i \(0.849482\pi\)
\(608\) −1.40948 + 5.26026i −0.0571621 + 0.213332i
\(609\) −0.0331053 + 0.123551i −0.00134150 + 0.00500653i
\(610\) 0.0479836 0.0243888i 0.00194280 0.000987473i
\(611\) 4.83809 + 18.0560i 0.195728 + 0.730468i
\(612\) −2.70238 4.68066i −0.109237 0.189204i
\(613\) 11.4585 + 3.07030i 0.462805 + 0.124008i 0.482685 0.875794i \(-0.339662\pi\)
−0.0198797 + 0.999802i \(0.506328\pi\)
\(614\) 1.59327 5.94617i 0.0642992 0.239968i
\(615\) −6.55057 4.26326i −0.264145 0.171911i
\(616\) 0.129162 0.0346088i 0.00520408 0.00139443i
\(617\) −6.07156 + 22.6594i −0.244432 + 0.912231i 0.729237 + 0.684262i \(0.239875\pi\)
−0.973668 + 0.227970i \(0.926791\pi\)
\(618\) −1.09685 1.09685i −0.0441219 0.0441219i
\(619\) 20.4916 0.823627 0.411814 0.911268i \(-0.364895\pi\)
0.411814 + 0.911268i \(0.364895\pi\)
\(620\) 0.737989 13.8187i 0.0296384 0.554973i
\(621\) 1.36021 + 1.36021i 0.0545833 + 0.0545833i
\(622\) 17.0592 4.57100i 0.684012 0.183280i
\(623\) 0.0998139i 0.00399896i
\(624\) 0.233056 + 0.869779i 0.00932973 + 0.0348190i
\(625\) 7.63078 + 23.8070i 0.305231 + 0.952278i
\(626\) 4.75598 8.23759i 0.190087 0.329240i
\(627\) 5.89054 3.40091i 0.235246 0.135819i
\(628\) −1.21372 + 1.21372i −0.0484328 + 0.0484328i
\(629\) 10.2001 5.22121i 0.406704 0.208183i
\(630\) −0.208303 0.135568i −0.00829899 0.00540117i
\(631\) 12.1068 45.1831i 0.481963 1.79871i −0.111401 0.993775i \(-0.535534\pi\)
0.593364 0.804934i \(-0.297799\pi\)
\(632\) −4.82122 + 1.29184i −0.191778 + 0.0513867i
\(633\) 0.525394 + 1.96080i 0.0208826 + 0.0779348i
\(634\) 29.7776 7.97887i 1.18262 0.316882i
\(635\) 19.7353 30.3236i 0.783170 1.20335i
\(636\) −0.614556 + 1.06444i −0.0243687 + 0.0422079i
\(637\) 17.4156i 0.690032i
\(638\) −8.15150 + 30.4218i −0.322721 + 1.20441i
\(639\) 35.4212i 1.40124i
\(640\) −2.18767 + 0.462729i −0.0864751 + 0.0182910i
\(641\) −14.6814 25.4290i −0.579882 1.00438i −0.995492 0.0948421i \(-0.969765\pi\)
0.415610 0.909543i \(-0.363568\pi\)
\(642\) −1.49819 0.864981i −0.0591289 0.0341381i
\(643\) 48.3551i 1.90694i −0.301489 0.953470i \(-0.597484\pi\)
0.301489 0.953470i \(-0.402516\pi\)
\(644\) −0.0338942 0.00908192i −0.00133562 0.000357878i
\(645\) −6.61893 0.353485i −0.260620 0.0139184i
\(646\) 9.90932 + 2.65519i 0.389877 + 0.104467i
\(647\) −20.6475 + 35.7625i −0.811737 + 1.40597i 0.0999100 + 0.994996i \(0.468145\pi\)
−0.911647 + 0.410974i \(0.865189\pi\)
\(648\) −3.91936 + 6.78853i −0.153967 + 0.266678i
\(649\) −13.2986 3.56335i −0.522015 0.139874i
\(650\) 10.0515 + 7.33347i 0.394254 + 0.287642i
\(651\) −0.0837983 0.0224537i −0.00328431 0.000880030i
\(652\) 6.18043i 0.242044i
\(653\) −4.83500 2.79149i −0.189208 0.109239i 0.402404 0.915462i \(-0.368175\pi\)
−0.591612 + 0.806223i \(0.701508\pi\)
\(654\) −1.05977 1.83557i −0.0414401 0.0717764i
\(655\) −15.8124 10.2911i −0.617843 0.402106i
\(656\) 9.65946i 0.377139i
\(657\) 6.94085 25.9036i 0.270788 1.01060i
\(658\) 0.291007i 0.0113446i
\(659\) 11.6925 20.2521i 0.455477 0.788909i −0.543239 0.839578i \(-0.682802\pi\)
0.998715 + 0.0506693i \(0.0161355\pi\)
\(660\) 2.34076 + 1.52342i 0.0911139 + 0.0592990i
\(661\) −23.1904 + 6.21386i −0.902003 + 0.241691i −0.679876 0.733327i \(-0.737967\pi\)
−0.222127 + 0.975018i \(0.571300\pi\)
\(662\) 8.19729 + 30.5927i 0.318597 + 1.18902i
\(663\) 1.63849 0.439033i 0.0636338 0.0170506i
\(664\) 3.63463 13.5646i 0.141051 0.526409i
\(665\) 0.461535 0.0976227i 0.0178976 0.00378564i
\(666\) −14.6541 9.47762i −0.567833 0.367250i
\(667\) 5.84410 5.84410i 0.226284 0.226284i
\(668\) 13.9283 8.04153i 0.538904 0.311136i
\(669\) −1.01313 + 1.75480i −0.0391700 + 0.0678444i
\(670\) 30.6585 15.5829i 1.18444 0.602021i
\(671\) −0.0215047 0.0802567i −0.000830180 0.00309827i
\(672\) 0.0140181i 0.000540762i
\(673\) −19.9447 + 5.34416i −0.768811 + 0.206002i −0.621846 0.783140i \(-0.713617\pi\)
−0.146965 + 0.989142i \(0.546950\pi\)
\(674\) 12.2615 + 12.2615i 0.472293 + 0.472293i
\(675\) −1.64026 10.4912i −0.0631336 0.403807i
\(676\) −6.80746 −0.261826
\(677\) −23.8894 23.8894i −0.918144 0.918144i 0.0787507 0.996894i \(-0.474907\pi\)
−0.996894 + 0.0787507i \(0.974907\pi\)
\(678\) −0.692135 + 2.58308i −0.0265813 + 0.0992026i
\(679\) −0.0957218 + 0.0256486i −0.00367346 + 0.000984302i
\(680\) 0.871692 + 4.12114i 0.0334279 + 0.158038i
\(681\) −0.728470 + 2.71869i −0.0279150 + 0.104180i
\(682\) −20.6336 5.52876i −0.790101 0.211707i
\(683\) 9.90437 + 17.1549i 0.378980 + 0.656413i 0.990914 0.134496i \(-0.0429415\pi\)
−0.611934 + 0.790909i \(0.709608\pi\)
\(684\) −4.04390 15.0920i −0.154622 0.577058i
\(685\) −7.91628 15.5749i −0.302466 0.595085i
\(686\) −0.140358 + 0.523824i −0.00535890 + 0.0199997i
\(687\) −0.176459 + 0.658553i −0.00673232 + 0.0251254i
\(688\) −4.09601 7.09449i −0.156159 0.270475i
\(689\) 5.97696 + 5.97696i 0.227704 + 0.227704i
\(690\) −0.332074 0.653338i −0.0126418 0.0248721i
\(691\) −22.6779 + 13.0931i −0.862709 + 0.498085i −0.864919 0.501912i \(-0.832630\pi\)
0.00220952 + 0.999998i \(0.499297\pi\)
\(692\) 3.12707 3.12707i 0.118873 0.118873i
\(693\) −0.271278 + 0.271278i −0.0103050 + 0.0103050i
\(694\) 9.33397 + 16.1669i 0.354312 + 0.613687i
\(695\) 20.1406 4.26009i 0.763976 0.161594i
\(696\) −2.85938 1.65087i −0.108385 0.0625759i
\(697\) −18.1966 −0.689243
\(698\) −8.51145 4.91409i −0.322163 0.186001i
\(699\) 2.97142 + 1.71555i 0.112389 + 0.0648881i
\(700\) 0.121600 + 0.150775i 0.00459604 + 0.00569878i
\(701\) 3.56684 + 0.955731i 0.134718 + 0.0360975i 0.325548 0.945526i \(-0.394451\pi\)
−0.190830 + 0.981623i \(0.561118\pi\)
\(702\) −3.73696 3.73696i −0.141043 0.141043i
\(703\) 32.3889 6.94767i 1.22157 0.262036i
\(704\) 3.45168i 0.130090i
\(705\) −4.52086 + 4.06247i −0.170266 + 0.153001i
\(706\) 3.81914 + 2.20498i 0.143735 + 0.0829856i
\(707\) 0.600154 0.160811i 0.0225711 0.00604791i
\(708\) 0.721659 1.24995i 0.0271216 0.0469760i
\(709\) −1.77322 1.77322i −0.0665945 0.0665945i 0.673025 0.739620i \(-0.264995\pi\)
−0.739620 + 0.673025i \(0.764995\pi\)
\(710\) −8.55692 + 26.2466i −0.321135 + 0.985019i
\(711\) 10.1260 10.1260i 0.379755 0.379755i
\(712\) −2.48871 0.666849i −0.0932685 0.0249912i
\(713\) 3.96376 + 3.96376i 0.148444 + 0.148444i
\(714\) 0.0264075 0.000988274
\(715\) 14.2860 12.8375i 0.534267 0.480095i
\(716\) 1.67165 + 6.23870i 0.0624726 + 0.233151i
\(717\) −2.23676 −0.0835332
\(718\) 13.5257 7.80904i 0.504773 0.291431i
\(719\) −21.2320 + 12.2583i −0.791819 + 0.457157i −0.840602 0.541653i \(-0.817799\pi\)
0.0487837 + 0.998809i \(0.484466\pi\)
\(720\) 4.77185 4.28801i 0.177836 0.159805i
\(721\) −0.160412 + 0.0429822i −0.00597404 + 0.00160074i
\(722\) 9.22926 + 5.32852i 0.343478 + 0.198307i
\(723\) −2.78922 + 1.61036i −0.103732 + 0.0598899i
\(724\) 4.88795 + 8.46618i 0.181659 + 0.314643i
\(725\) −45.0751 + 7.04733i −1.67405 + 0.261731i
\(726\) 0.233884 0.233884i 0.00868025 0.00868025i
\(727\) 18.6931 32.3774i 0.693289 1.20081i −0.277465 0.960736i \(-0.589494\pi\)
0.970754 0.240076i \(-0.0771724\pi\)
\(728\) 0.0931189 + 0.0249511i 0.00345122 + 0.000924751i
\(729\) 20.1843i 0.747568i
\(730\) −11.4008 + 17.5175i −0.421962 + 0.648351i
\(731\) −13.3646 + 7.71608i −0.494309 + 0.285390i
\(732\) 0.00871039 0.000321945
\(733\) −4.82643 18.0125i −0.178268 0.665306i −0.995972 0.0896664i \(-0.971420\pi\)
0.817704 0.575639i \(-0.195247\pi\)
\(734\) 17.2798 17.2798i 0.637810 0.637810i
\(735\) −5.04802 + 2.56578i −0.186199 + 0.0946401i
\(736\) 0.452889 0.784426i 0.0166937 0.0289143i
\(737\) −13.7402 51.2790i −0.506126 1.88889i
\(738\) 13.8568 + 24.0007i 0.510076 + 0.883478i
\(739\) −38.4904 −1.41589 −0.707946 0.706267i \(-0.750378\pi\)
−0.707946 + 0.706267i \(0.750378\pi\)
\(740\) 8.56889 + 10.5629i 0.314999 + 0.388299i
\(741\) 4.90376 0.180144
\(742\) 0.0657947 + 0.113960i 0.00241540 + 0.00418359i
\(743\) −3.96390 14.7935i −0.145421 0.542719i −0.999736 0.0229639i \(-0.992690\pi\)
0.854315 0.519755i \(-0.173977\pi\)
\(744\) 1.11970 1.93938i 0.0410502 0.0711010i
\(745\) 32.7090 + 10.6638i 1.19837 + 0.390691i
\(746\) 13.6183 13.6183i 0.498602 0.498602i
\(747\) 10.4280 + 38.9177i 0.381540 + 1.42393i
\(748\) 6.50229 0.237747
\(749\) −0.160397 + 0.0926053i −0.00586078 + 0.00338372i
\(750\) −0.644794 + 3.99391i −0.0235445 + 0.145837i
\(751\) 43.8126i 1.59875i −0.600835 0.799373i \(-0.705165\pi\)
0.600835 0.799373i \(-0.294835\pi\)
\(752\) −7.25584 1.94420i −0.264593 0.0708975i
\(753\) 2.23158 3.86521i 0.0813233 0.140856i
\(754\) −16.0557 + 16.0557i −0.584716 + 0.584716i
\(755\) 13.3928 12.0349i 0.487415 0.437993i
\(756\) −0.0411367 0.0712508i −0.00149613 0.00259137i
\(757\) 12.1669 7.02456i 0.442213 0.255312i −0.262323 0.964980i \(-0.584488\pi\)
0.704536 + 0.709668i \(0.251155\pi\)
\(758\) 13.8986 + 8.02439i 0.504822 + 0.291459i
\(759\) −1.09276 + 0.292805i −0.0396648 + 0.0106282i
\(760\) −0.649401 + 12.1599i −0.0235562 + 0.441086i
\(761\) 15.2772 8.82031i 0.553799 0.319736i −0.196854 0.980433i \(-0.563072\pi\)
0.750653 + 0.660697i \(0.229739\pi\)
\(762\) 5.07045 2.92742i 0.183683 0.106049i
\(763\) −0.226918 −0.00821499
\(764\) −2.38055 8.88432i −0.0861252 0.321424i
\(765\) −8.07778 8.98924i −0.292053 0.325007i
\(766\) 2.71472 0.0980868
\(767\) −7.01860 7.01860i −0.253427 0.253427i
\(768\) −0.349522 0.0936541i −0.0126123 0.00337945i
\(769\) 8.23413 8.23413i 0.296930 0.296930i −0.542880 0.839810i \(-0.682666\pi\)
0.839810 + 0.542880i \(0.182666\pi\)
\(770\) 0.266548 0.135479i 0.00960573 0.00488234i
\(771\)