Properties

Label 370.2.q.d.103.2
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 2x^{11} - 4x^{10} + 6x^{8} + 44x^{7} + 56x^{6} + 32x^{5} + 92x^{4} - 16x^{3} + 36x^{2} - 24x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.2
Root \(2.78638 - 0.746609i\) of defining polynomial
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.d.97.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(0.434319 + 1.62090i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.34690 - 1.78490i) q^{5} +(1.18658 - 1.18658i) q^{6} +(-0.632846 - 2.36181i) q^{7} +1.00000 q^{8} +(0.159392 - 0.0920251i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(0.434319 + 1.62090i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.34690 - 1.78490i) q^{5} +(1.18658 - 1.18658i) q^{6} +(-0.632846 - 2.36181i) q^{7} +1.00000 q^{8} +(0.159392 - 0.0920251i) q^{9} +(-2.21922 - 0.274000i) q^{10} -3.49322i q^{11} +(-1.62090 - 0.434319i) q^{12} +(-1.48236 + 2.56752i) q^{13} +(-1.72897 + 1.72897i) q^{14} +(3.47813 + 1.40797i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.91666 - 1.10658i) q^{17} +(-0.159392 - 0.0920251i) q^{18} +(1.37008 - 0.367111i) q^{19} +(0.872317 + 2.05890i) q^{20} +(3.55340 - 2.05156i) q^{21} +(-3.02521 + 1.74661i) q^{22} +2.35663 q^{23} +(0.434319 + 1.62090i) q^{24} +(-1.37172 - 4.80816i) q^{25} +2.96472 q^{26} +(3.77813 + 3.77813i) q^{27} +(2.36181 + 0.632846i) q^{28} +(2.69380 - 2.69380i) q^{29} +(-0.519721 - 3.71613i) q^{30} +(1.18350 + 1.18350i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(5.66216 - 1.51717i) q^{33} +(-1.91666 - 1.10658i) q^{34} +(-5.06797 - 2.05156i) q^{35} +0.184050i q^{36} +(5.95275 - 1.25090i) q^{37} +(-1.00297 - 1.00297i) q^{38} +(-4.80551 - 1.28763i) q^{39} +(1.34690 - 1.78490i) q^{40} +(2.80211 + 1.61780i) q^{41} +(-3.55340 - 2.05156i) q^{42} -9.95193 q^{43} +(3.02521 + 1.74661i) q^{44} +(0.0504298 - 0.408447i) q^{45} +(-1.17832 - 2.04090i) q^{46} +(-7.46221 + 7.46221i) q^{47} +(1.18658 - 1.18658i) q^{48} +(0.884516 - 0.510676i) q^{49} +(-3.47813 + 3.59203i) q^{50} +(2.62610 + 2.62610i) q^{51} +(-1.48236 - 2.56752i) q^{52} +(-2.23615 + 8.34541i) q^{53} +(1.38289 - 5.16103i) q^{54} +(-6.23504 - 4.70501i) q^{55} +(-0.632846 - 2.36181i) q^{56} +(1.19010 + 2.06132i) q^{57} +(-3.67980 - 0.985999i) q^{58} +(0.795776 - 2.96988i) q^{59} +(-2.95840 + 2.30816i) q^{60} +(-3.62907 + 0.972406i) q^{61} +(0.433190 - 1.61669i) q^{62} +(-0.318216 - 0.318216i) q^{63} +1.00000 q^{64} +(2.58617 + 6.10405i) q^{65} +(-4.14499 - 4.14499i) q^{66} +(-7.62035 + 2.04187i) q^{67} +2.21317i q^{68} +(1.02353 + 3.81986i) q^{69} +(0.757284 + 5.41477i) q^{70} +(2.78149 - 4.81768i) q^{71} +(0.159392 - 0.0920251i) q^{72} +(6.28228 - 6.28228i) q^{73} +(-4.05969 - 4.52978i) q^{74} +(7.19778 - 4.31170i) q^{75} +(-0.367111 + 1.37008i) q^{76} +(-8.25032 + 2.21067i) q^{77} +(1.28763 + 4.80551i) q^{78} +(-14.7958 + 3.96452i) q^{79} +(-2.21922 - 0.274000i) q^{80} +(-4.20699 + 7.28672i) q^{81} -3.23559i q^{82} +(-2.69465 + 10.0566i) q^{83} +4.10312i q^{84} +(0.606408 - 4.91150i) q^{85} +(4.97597 + 8.61863i) q^{86} +(5.53635 + 3.19641i) q^{87} -3.49322i q^{88} +(7.87485 + 2.11006i) q^{89} +(-0.378941 + 0.160550i) q^{90} +(7.00210 + 1.87621i) q^{91} +(-1.17832 + 2.04090i) q^{92} +(-1.40431 + 2.43234i) q^{93} +(10.1936 + 2.73136i) q^{94} +(1.19010 - 2.93991i) q^{95} +(-1.62090 - 0.434319i) q^{96} +10.8299i q^{97} +(-0.884516 - 0.510676i) q^{98} +(-0.321464 - 0.556791i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 6 q^{2} - 6 q^{4} + 2 q^{5} + 6 q^{6} - 4 q^{7} + 12 q^{8} + 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 6 q^{2} - 6 q^{4} + 2 q^{5} + 6 q^{6} - 4 q^{7} + 12 q^{8} + 18 q^{9} - 4 q^{10} - 6 q^{12} + 8 q^{14} - 10 q^{15} - 6 q^{16} - 12 q^{17} - 18 q^{18} - 8 q^{19} + 2 q^{20} + 54 q^{21} - 6 q^{22} - 4 q^{23} - 14 q^{25} + 18 q^{27} - 4 q^{28} + 4 q^{29} - 4 q^{30} - 2 q^{31} - 6 q^{32} + 20 q^{33} + 12 q^{34} + 6 q^{35} + 14 q^{37} + 16 q^{38} - 30 q^{39} + 2 q^{40} + 12 q^{41} - 54 q^{42} + 44 q^{43} + 6 q^{44} - 60 q^{45} + 2 q^{46} - 28 q^{47} + 6 q^{48} + 24 q^{49} + 10 q^{50} - 8 q^{51} + 8 q^{53} - 18 q^{54} - 4 q^{56} - 28 q^{57} - 14 q^{58} + 14 q^{60} + 24 q^{61} - 14 q^{62} + 8 q^{63} + 12 q^{64} - 10 q^{65} + 8 q^{66} + 18 q^{67} - 40 q^{69} - 30 q^{70} + 18 q^{72} - 28 q^{73} + 38 q^{74} - 30 q^{75} - 8 q^{76} + 10 q^{77} + 48 q^{78} - 56 q^{79} - 4 q^{80} + 4 q^{81} + 14 q^{83} - 28 q^{85} - 22 q^{86} + 18 q^{87} - 2 q^{89} + 18 q^{90} + 38 q^{91} + 2 q^{92} - 16 q^{94} - 28 q^{95} - 6 q^{96} - 24 q^{98} + 28 q^{99}+O(q^{100}) \) 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
\(3\) 0.434319 + 1.62090i 0.250754 + 0.935827i 0.970403 + 0.241489i \(0.0776359\pi\)
−0.719649 + 0.694338i \(0.755697\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.34690 1.78490i 0.602352 0.798231i
\(6\) 1.18658 1.18658i 0.484420 0.484420i
\(7\) −0.632846 2.36181i −0.239193 0.892681i −0.976214 0.216811i \(-0.930435\pi\)
0.737021 0.675870i \(-0.236232\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.159392 0.0920251i 0.0531307 0.0306750i
\(10\) −2.21922 0.274000i −0.701778 0.0866465i
\(11\) 3.49322i 1.05324i −0.850099 0.526622i \(-0.823458\pi\)
0.850099 0.526622i \(-0.176542\pi\)
\(12\) −1.62090 0.434319i −0.467914 0.125377i
\(13\) −1.48236 + 2.56752i −0.411132 + 0.712102i −0.995014 0.0997371i \(-0.968200\pi\)
0.583882 + 0.811839i \(0.301533\pi\)
\(14\) −1.72897 + 1.72897i −0.462086 + 0.462086i
\(15\) 3.47813 + 1.40797i 0.898048 + 0.363538i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.91666 1.10658i 0.464858 0.268386i −0.249227 0.968445i \(-0.580176\pi\)
0.714085 + 0.700059i \(0.246843\pi\)
\(18\) −0.159392 0.0920251i −0.0375691 0.0216905i
\(19\) 1.37008 0.367111i 0.314317 0.0842211i −0.0982116 0.995166i \(-0.531312\pi\)
0.412529 + 0.910944i \(0.364646\pi\)
\(20\) 0.872317 + 2.05890i 0.195056 + 0.460384i
\(21\) 3.55340 2.05156i 0.775416 0.447687i
\(22\) −3.02521 + 1.74661i −0.644978 + 0.372378i
\(23\) 2.35663 0.491391 0.245696 0.969347i \(-0.420984\pi\)
0.245696 + 0.969347i \(0.420984\pi\)
\(24\) 0.434319 + 1.62090i 0.0886550 + 0.330865i
\(25\) −1.37172 4.80816i −0.274344 0.961631i
\(26\) 2.96472 0.581428
\(27\) 3.77813 + 3.77813i 0.727102 + 0.727102i
\(28\) 2.36181 + 0.632846i 0.446340 + 0.119597i
\(29\) 2.69380 2.69380i 0.500226 0.500226i −0.411282 0.911508i \(-0.634919\pi\)
0.911508 + 0.411282i \(0.134919\pi\)
\(30\) −0.519721 3.71613i −0.0948876 0.678470i
\(31\) 1.18350 + 1.18350i 0.212562 + 0.212562i 0.805355 0.592793i \(-0.201975\pi\)
−0.592793 + 0.805355i \(0.701975\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 5.66216 1.51717i 0.985655 0.264105i
\(34\) −1.91666 1.10658i −0.328704 0.189777i
\(35\) −5.06797 2.05156i −0.856644 0.346777i
\(36\) 0.184050i 0.0306750i
\(37\) 5.95275 1.25090i 0.978626 0.205647i
\(38\) −1.00297 1.00297i −0.162703 0.162703i
\(39\) −4.80551 1.28763i −0.769497 0.206186i
\(40\) 1.34690 1.78490i 0.212964 0.282217i
\(41\) 2.80211 + 1.61780i 0.437615 + 0.252657i 0.702586 0.711599i \(-0.252029\pi\)
−0.264970 + 0.964257i \(0.585362\pi\)
\(42\) −3.55340 2.05156i −0.548302 0.316562i
\(43\) −9.95193 −1.51766 −0.758828 0.651291i \(-0.774228\pi\)
−0.758828 + 0.651291i \(0.774228\pi\)
\(44\) 3.02521 + 1.74661i 0.456068 + 0.263311i
\(45\) 0.0504298 0.408447i 0.00751763 0.0608877i
\(46\) −1.17832 2.04090i −0.173733 0.300915i
\(47\) −7.46221 + 7.46221i −1.08847 + 1.08847i −0.0927889 + 0.995686i \(0.529578\pi\)
−0.995686 + 0.0927889i \(0.970422\pi\)
\(48\) 1.18658 1.18658i 0.171268 0.171268i
\(49\) 0.884516 0.510676i 0.126359 0.0729537i
\(50\) −3.47813 + 3.59203i −0.491881 + 0.507989i
\(51\) 2.62610 + 2.62610i 0.367728 + 0.367728i
\(52\) −1.48236 2.56752i −0.205566 0.356051i
\(53\) −2.23615 + 8.34541i −0.307158 + 1.14633i 0.623913 + 0.781494i \(0.285542\pi\)
−0.931071 + 0.364837i \(0.881125\pi\)
\(54\) 1.38289 5.16103i 0.188188 0.702327i
\(55\) −6.23504 4.70501i −0.840732 0.634424i
\(56\) −0.632846 2.36181i −0.0845675 0.315610i
\(57\) 1.19010 + 2.06132i 0.157633 + 0.273028i
\(58\) −3.67980 0.985999i −0.483181 0.129468i
\(59\) 0.795776 2.96988i 0.103601 0.386645i −0.894581 0.446905i \(-0.852526\pi\)
0.998183 + 0.0602597i \(0.0191929\pi\)
\(60\) −2.95840 + 2.30816i −0.381928 + 0.297982i
\(61\) −3.62907 + 0.972406i −0.464654 + 0.124504i −0.483548 0.875318i \(-0.660652\pi\)
0.0188938 + 0.999821i \(0.493986\pi\)
\(62\) 0.433190 1.61669i 0.0550152 0.205319i
\(63\) −0.318216 0.318216i −0.0400915 0.0400915i
\(64\) 1.00000 0.125000
\(65\) 2.58617 + 6.10405i 0.320775 + 0.757114i
\(66\) −4.14499 4.14499i −0.510212 0.510212i
\(67\) −7.62035 + 2.04187i −0.930974 + 0.249454i −0.692270 0.721639i \(-0.743389\pi\)
−0.238704 + 0.971092i \(0.576723\pi\)
\(68\) 2.21317i 0.268386i
\(69\) 1.02353 + 3.81986i 0.123218 + 0.459857i
\(70\) 0.757284 + 5.41477i 0.0905128 + 0.647189i
\(71\) 2.78149 4.81768i 0.330102 0.571754i −0.652429 0.757850i \(-0.726250\pi\)
0.982532 + 0.186096i \(0.0595834\pi\)
\(72\) 0.159392 0.0920251i 0.0187845 0.0108453i
\(73\) 6.28228 6.28228i 0.735285 0.735285i −0.236376 0.971662i \(-0.575960\pi\)
0.971662 + 0.236376i \(0.0759598\pi\)
\(74\) −4.05969 4.52978i −0.471929 0.526577i
\(75\) 7.19778 4.31170i 0.831128 0.497872i
\(76\) −0.367111 + 1.37008i −0.0421105 + 0.157159i
\(77\) −8.25032 + 2.21067i −0.940211 + 0.251929i
\(78\) 1.28763 + 4.80551i 0.145796 + 0.544117i
\(79\) −14.7958 + 3.96452i −1.66466 + 0.446043i −0.963662 0.267123i \(-0.913927\pi\)
−0.700994 + 0.713167i \(0.747260\pi\)
\(80\) −2.21922 0.274000i −0.248116 0.0306342i
\(81\) −4.20699 + 7.28672i −0.467443 + 0.809635i
\(82\) 3.23559i 0.357312i
\(83\) −2.69465 + 10.0566i −0.295777 + 1.10385i 0.644822 + 0.764333i \(0.276932\pi\)
−0.940599 + 0.339521i \(0.889735\pi\)
\(84\) 4.10312i 0.447687i
\(85\) 0.606408 4.91150i 0.0657742 0.532726i
\(86\) 4.97597 + 8.61863i 0.536572 + 0.929371i
\(87\) 5.53635 + 3.19641i 0.593559 + 0.342691i
\(88\) 3.49322i 0.372378i
\(89\) 7.87485 + 2.11006i 0.834732 + 0.223666i 0.650777 0.759269i \(-0.274443\pi\)
0.183955 + 0.982935i \(0.441110\pi\)
\(90\) −0.378941 + 0.160550i −0.0399438 + 0.0169235i
\(91\) 7.00210 + 1.87621i 0.734019 + 0.196680i
\(92\) −1.17832 + 2.04090i −0.122848 + 0.212779i
\(93\) −1.40431 + 2.43234i −0.145621 + 0.252222i
\(94\) 10.1936 + 2.73136i 1.05139 + 0.281718i
\(95\) 1.19010 2.93991i 0.122102 0.301629i
\(96\) −1.62090 0.434319i −0.165432 0.0443275i
\(97\) 10.8299i 1.09961i 0.835294 + 0.549803i \(0.185297\pi\)
−0.835294 + 0.549803i \(0.814703\pi\)
\(98\) −0.884516 0.510676i −0.0893496 0.0515860i
\(99\) −0.321464 0.556791i −0.0323083 0.0559596i
\(100\) 4.84985 + 1.21613i 0.484985 + 0.121613i
\(101\) 5.97730i 0.594763i 0.954759 + 0.297382i \(0.0961134\pi\)
−0.954759 + 0.297382i \(0.903887\pi\)
\(102\) 0.961220 3.58732i 0.0951749 0.355198i
\(103\) 4.06301i 0.400341i 0.979761 + 0.200170i \(0.0641495\pi\)
−0.979761 + 0.200170i \(0.935850\pi\)
\(104\) −1.48236 + 2.56752i −0.145357 + 0.251766i
\(105\) 1.12426 9.10571i 0.109716 0.888626i
\(106\) 8.34541 2.23615i 0.810578 0.217194i
\(107\) 5.07945 + 18.9567i 0.491049 + 1.83262i 0.551123 + 0.834424i \(0.314200\pi\)
−0.0600742 + 0.998194i \(0.519134\pi\)
\(108\) −5.16103 + 1.38289i −0.496620 + 0.133069i
\(109\) 3.99357 14.9042i 0.382515 1.42756i −0.459533 0.888161i \(-0.651983\pi\)
0.842047 0.539404i \(-0.181350\pi\)
\(110\) −0.957143 + 7.75221i −0.0912600 + 0.739144i
\(111\) 4.61298 + 9.10552i 0.437845 + 0.864258i
\(112\) −1.72897 + 1.72897i −0.163372 + 0.163372i
\(113\) 3.49304 2.01671i 0.328598 0.189716i −0.326621 0.945156i \(-0.605910\pi\)
0.655218 + 0.755440i \(0.272577\pi\)
\(114\) 1.19010 2.06132i 0.111463 0.193060i
\(115\) 3.17414 4.20634i 0.295991 0.392244i
\(116\) 0.985999 + 3.67980i 0.0915477 + 0.341661i
\(117\) 0.545656i 0.0504459i
\(118\) −2.96988 + 0.795776i −0.273399 + 0.0732572i
\(119\) −3.82649 3.82649i −0.350774 0.350774i
\(120\) 3.47813 + 1.40797i 0.317508 + 0.128530i
\(121\) −1.20257 −0.109324
\(122\) 2.65666 + 2.65666i 0.240523 + 0.240523i
\(123\) −1.40528 + 5.24457i −0.126710 + 0.472887i
\(124\) −1.61669 + 0.433190i −0.145183 + 0.0389016i
\(125\) −10.4296 4.02772i −0.932856 0.360250i
\(126\) −0.116475 + 0.434692i −0.0103764 + 0.0387254i
\(127\) −17.5535 4.70345i −1.55762 0.417363i −0.625712 0.780054i \(-0.715191\pi\)
−0.931910 + 0.362691i \(0.881858\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −4.32231 16.1311i −0.380558 1.42026i
\(130\) 3.99317 5.29171i 0.350225 0.464114i
\(131\) −0.340371 + 1.27028i −0.0297384 + 0.110985i −0.979200 0.202899i \(-0.934964\pi\)
0.949461 + 0.313884i \(0.101630\pi\)
\(132\) −1.51717 + 5.66216i −0.132053 + 0.492827i
\(133\) −1.73410 3.00354i −0.150365 0.260440i
\(134\) 5.57848 + 5.57848i 0.481907 + 0.481907i
\(135\) 11.8324 1.65482i 1.01837 0.142424i
\(136\) 1.91666 1.10658i 0.164352 0.0948887i
\(137\) −1.14123 + 1.14123i −0.0975023 + 0.0975023i −0.754175 0.656673i \(-0.771963\pi\)
0.656673 + 0.754175i \(0.271963\pi\)
\(138\) 2.79633 2.79633i 0.238040 0.238040i
\(139\) −6.46760 11.2022i −0.548574 0.950159i −0.998373 0.0570285i \(-0.981837\pi\)
0.449798 0.893130i \(-0.351496\pi\)
\(140\) 4.31069 3.36321i 0.364320 0.284243i
\(141\) −15.3365 8.85451i −1.29156 0.745685i
\(142\) −5.56298 −0.466835
\(143\) 8.96890 + 5.17820i 0.750017 + 0.433023i
\(144\) −0.159392 0.0920251i −0.0132827 0.00766876i
\(145\) −1.17988 8.43644i −0.0979837 0.700608i
\(146\) −8.58176 2.29947i −0.710231 0.190306i
\(147\) 1.21192 + 1.21192i 0.0999572 + 0.0999572i
\(148\) −1.89306 + 5.78068i −0.155609 + 0.475169i
\(149\) 12.7009i 1.04050i 0.854014 + 0.520250i \(0.174161\pi\)
−0.854014 + 0.520250i \(0.825839\pi\)
\(150\) −7.33293 4.07761i −0.598731 0.332935i
\(151\) 1.78346 + 1.02968i 0.145136 + 0.0837943i 0.570810 0.821082i \(-0.306629\pi\)
−0.425674 + 0.904877i \(0.639963\pi\)
\(152\) 1.37008 0.367111i 0.111128 0.0297767i
\(153\) 0.203667 0.352761i 0.0164655 0.0285190i
\(154\) 6.03965 + 6.03965i 0.486689 + 0.486689i
\(155\) 3.70647 0.518370i 0.297711 0.0416364i
\(156\) 3.51788 3.51788i 0.281655 0.281655i
\(157\) −17.9576 4.81173i −1.43318 0.384018i −0.543037 0.839709i \(-0.682726\pi\)
−0.890138 + 0.455690i \(0.849392\pi\)
\(158\) 10.8313 + 10.8313i 0.861690 + 0.861690i
\(159\) −14.4983 −1.14979
\(160\) 0.872317 + 2.05890i 0.0689627 + 0.162770i
\(161\) −1.49138 5.56592i −0.117537 0.438656i
\(162\) 8.41398 0.661064
\(163\) 19.4762 11.2446i 1.52549 0.880743i 0.525949 0.850516i \(-0.323710\pi\)
0.999543 0.0302266i \(-0.00962290\pi\)
\(164\) −2.80211 + 1.61780i −0.218808 + 0.126329i
\(165\) 4.91836 12.1498i 0.382894 0.945864i
\(166\) 10.0566 2.69465i 0.780542 0.209146i
\(167\) −0.557240 0.321723i −0.0431206 0.0248957i 0.478285 0.878205i \(-0.341259\pi\)
−0.521405 + 0.853309i \(0.674592\pi\)
\(168\) 3.55340 2.05156i 0.274151 0.158281i
\(169\) 2.10523 + 3.64637i 0.161941 + 0.280490i
\(170\) −4.55668 + 1.93058i −0.349482 + 0.148069i
\(171\) 0.184596 0.184596i 0.0141164 0.0141164i
\(172\) 4.97597 8.61863i 0.379414 0.657164i
\(173\) −2.76867 0.741863i −0.210498 0.0564028i 0.152029 0.988376i \(-0.451419\pi\)
−0.362527 + 0.931973i \(0.618086\pi\)
\(174\) 6.39282i 0.484639i
\(175\) −10.4879 + 6.28257i −0.792809 + 0.474918i
\(176\) −3.02521 + 1.74661i −0.228034 + 0.131656i
\(177\) 5.15950 0.387811
\(178\) −2.11006 7.87485i −0.158156 0.590245i
\(179\) −0.470627 + 0.470627i −0.0351763 + 0.0351763i −0.724476 0.689300i \(-0.757918\pi\)
0.689300 + 0.724476i \(0.257918\pi\)
\(180\) 0.328511 + 0.247897i 0.0244857 + 0.0184772i
\(181\) −3.15781 + 5.46948i −0.234718 + 0.406543i −0.959191 0.282760i \(-0.908750\pi\)
0.724473 + 0.689303i \(0.242083\pi\)
\(182\) −1.87621 7.00210i −0.139074 0.519030i
\(183\) −3.15234 5.46002i −0.233028 0.403616i
\(184\) 2.35663 0.173733
\(185\) 5.78503 12.3099i 0.425324 0.905041i
\(186\) 2.80863 0.205939
\(187\) −3.86553 6.69530i −0.282676 0.489609i
\(188\) −2.73136 10.1936i −0.199205 0.743442i
\(189\) 6.53227 11.3142i 0.475152 0.822988i
\(190\) −3.14109 + 0.439298i −0.227879 + 0.0318700i
\(191\) 4.70925 4.70925i 0.340749 0.340749i −0.515900 0.856649i \(-0.672542\pi\)
0.856649 + 0.515900i \(0.172542\pi\)
\(192\) 0.434319 + 1.62090i 0.0313443 + 0.116978i
\(193\) 15.2352 1.09665 0.548326 0.836264i \(-0.315265\pi\)
0.548326 + 0.836264i \(0.315265\pi\)
\(194\) 9.37894 5.41493i 0.673369 0.388770i
\(195\) −8.77083 + 6.84303i −0.628092 + 0.490040i
\(196\) 1.02135i 0.0729537i
\(197\) −17.7146 4.74662i −1.26212 0.338183i −0.435110 0.900377i \(-0.643291\pi\)
−0.827005 + 0.562194i \(0.809957\pi\)
\(198\) −0.321464 + 0.556791i −0.0228454 + 0.0395694i
\(199\) 1.80868 1.80868i 0.128214 0.128214i −0.640088 0.768302i \(-0.721102\pi\)
0.768302 + 0.640088i \(0.221102\pi\)
\(200\) −1.37172 4.80816i −0.0969954 0.339988i
\(201\) −6.61932 11.4650i −0.466891 0.808679i
\(202\) 5.17649 2.98865i 0.364217 0.210281i
\(203\) −8.06701 4.65749i −0.566193 0.326892i
\(204\) −3.58732 + 0.961220i −0.251163 + 0.0672988i
\(205\) 6.66176 2.82246i 0.465277 0.197129i
\(206\) 3.51867 2.03151i 0.245158 0.141542i
\(207\) 0.375628 0.216869i 0.0261080 0.0150734i
\(208\) 2.96472 0.205566
\(209\) −1.28240 4.78598i −0.0887054 0.331053i
\(210\) −8.44790 + 3.57922i −0.582961 + 0.246990i
\(211\) −0.988606 −0.0680585 −0.0340292 0.999421i \(-0.510834\pi\)
−0.0340292 + 0.999421i \(0.510834\pi\)
\(212\) −6.10927 6.10927i −0.419586 0.419586i
\(213\) 9.01704 + 2.41611i 0.617837 + 0.165549i
\(214\) 13.8773 13.8773i 0.948633 0.948633i
\(215\) −13.4043 + 17.7632i −0.914163 + 1.21144i
\(216\) 3.77813 + 3.77813i 0.257069 + 0.257069i
\(217\) 2.04623 3.54417i 0.138907 0.240594i
\(218\) −14.9042 + 3.99357i −1.00944 + 0.270479i
\(219\) 12.9115 + 7.45444i 0.872476 + 0.503724i
\(220\) 7.19218 3.04719i 0.484897 0.205442i
\(221\) 6.56141i 0.441368i
\(222\) 5.57913 8.54772i 0.374446 0.573685i
\(223\) 9.31830 + 9.31830i 0.624000 + 0.624000i 0.946552 0.322552i \(-0.104541\pi\)
−0.322552 + 0.946552i \(0.604541\pi\)
\(224\) 2.36181 + 0.632846i 0.157805 + 0.0422838i
\(225\) −0.661113 0.640149i −0.0440742 0.0426766i
\(226\) −3.49304 2.01671i −0.232354 0.134149i
\(227\) 14.2263 + 8.21358i 0.944235 + 0.545154i 0.891285 0.453443i \(-0.149804\pi\)
0.0529497 + 0.998597i \(0.483138\pi\)
\(228\) −2.38020 −0.157633
\(229\) 7.10267 + 4.10073i 0.469357 + 0.270984i 0.715971 0.698130i \(-0.245984\pi\)
−0.246613 + 0.969114i \(0.579318\pi\)
\(230\) −5.22987 0.645718i −0.344848 0.0425774i
\(231\) −7.16654 12.4128i −0.471524 0.816703i
\(232\) 2.69380 2.69380i 0.176857 0.176857i
\(233\) 20.0962 20.0962i 1.31654 1.31654i 0.400052 0.916493i \(-0.368992\pi\)
0.916493 0.400052i \(-0.131008\pi\)
\(234\) 0.472552 0.272828i 0.0308917 0.0178353i
\(235\) 3.26843 + 23.3701i 0.213209 + 1.52450i
\(236\) 2.17410 + 2.17410i 0.141522 + 0.141522i
\(237\) −12.8522 22.2606i −0.834839 1.44598i
\(238\) −1.40059 + 5.22708i −0.0907869 + 0.338821i
\(239\) −2.33098 + 8.69934i −0.150779 + 0.562714i 0.848651 + 0.528953i \(0.177415\pi\)
−0.999430 + 0.0337608i \(0.989252\pi\)
\(240\) −0.519721 3.71613i −0.0335478 0.239875i
\(241\) 6.50247 + 24.2676i 0.418861 + 1.56321i 0.776974 + 0.629532i \(0.216753\pi\)
−0.358113 + 0.933678i \(0.616580\pi\)
\(242\) 0.601283 + 1.04145i 0.0386520 + 0.0669472i
\(243\) 1.84487 + 0.494331i 0.118348 + 0.0317113i
\(244\) 0.972406 3.62907i 0.0622519 0.232327i
\(245\) 0.279851 2.26660i 0.0178790 0.144808i
\(246\) 5.24457 1.40528i 0.334382 0.0895973i
\(247\) −1.08838 + 4.06189i −0.0692520 + 0.258452i
\(248\) 1.18350 + 1.18350i 0.0751521 + 0.0751521i
\(249\) −17.4711 −1.10718
\(250\) 1.72671 + 11.0462i 0.109207 + 0.698623i
\(251\) 14.1633 + 14.1633i 0.893979 + 0.893979i 0.994895 0.100916i \(-0.0321772\pi\)
−0.100916 + 0.994895i \(0.532177\pi\)
\(252\) 0.434692 0.116475i 0.0273830 0.00733726i
\(253\) 8.23222i 0.517555i
\(254\) 4.70345 + 17.5535i 0.295121 + 1.10140i
\(255\) 8.22442 1.15023i 0.515033 0.0720301i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 21.3340 12.3172i 1.33078 0.768327i 0.345362 0.938470i \(-0.387756\pi\)
0.985419 + 0.170143i \(0.0544229\pi\)
\(258\) −11.8088 + 11.8088i −0.735182 + 0.735182i
\(259\) −6.72157 13.2677i −0.417658 0.824412i
\(260\) −6.57935 0.812333i −0.408034 0.0503788i
\(261\) 0.181473 0.677267i 0.0112329 0.0419218i
\(262\) 1.27028 0.340371i 0.0784784 0.0210282i
\(263\) −3.27692 12.2296i −0.202064 0.754112i −0.990325 0.138771i \(-0.955685\pi\)
0.788261 0.615341i \(-0.210982\pi\)
\(264\) 5.66216 1.51717i 0.348482 0.0933754i
\(265\) 11.8838 + 15.2317i 0.730019 + 0.935678i
\(266\) −1.73410 + 3.00354i −0.106324 + 0.184159i
\(267\) 13.6808i 0.837250i
\(268\) 2.04187 7.62035i 0.124727 0.465487i
\(269\) 30.2272i 1.84299i 0.388394 + 0.921493i \(0.373030\pi\)
−0.388394 + 0.921493i \(0.626970\pi\)
\(270\) −7.34929 9.41971i −0.447263 0.573265i
\(271\) 7.93046 + 13.7360i 0.481741 + 0.834400i 0.999780 0.0209568i \(-0.00667123\pi\)
−0.518039 + 0.855357i \(0.673338\pi\)
\(272\) −1.91666 1.10658i −0.116214 0.0670964i
\(273\) 12.1646i 0.736234i
\(274\) 1.55896 + 0.417721i 0.0941800 + 0.0252354i
\(275\) −16.7959 + 4.79172i −1.01283 + 0.288952i
\(276\) −3.81986 1.02353i −0.229929 0.0616092i
\(277\) −2.11778 + 3.66810i −0.127245 + 0.220395i −0.922608 0.385738i \(-0.873947\pi\)
0.795363 + 0.606133i \(0.207280\pi\)
\(278\) −6.46760 + 11.2022i −0.387901 + 0.671864i
\(279\) 0.297551 + 0.0797286i 0.0178139 + 0.00477323i
\(280\) −5.06797 2.05156i −0.302869 0.122604i
\(281\) −15.6022 4.18061i −0.930751 0.249394i −0.238576 0.971124i \(-0.576681\pi\)
−0.692175 + 0.721730i \(0.743347\pi\)
\(282\) 17.7090i 1.05456i
\(283\) −14.2912 8.25105i −0.849526 0.490474i 0.0109650 0.999940i \(-0.496510\pi\)
−0.860491 + 0.509466i \(0.829843\pi\)
\(284\) 2.78149 + 4.81768i 0.165051 + 0.285877i
\(285\) 5.28219 + 0.652176i 0.312890 + 0.0386316i
\(286\) 10.3564i 0.612386i
\(287\) 2.04763 7.64186i 0.120868 0.451085i
\(288\) 0.184050i 0.0108453i
\(289\) −6.05095 + 10.4806i −0.355938 + 0.616503i
\(290\) −6.71623 + 5.24002i −0.394390 + 0.307705i
\(291\) −17.5541 + 4.70362i −1.02904 + 0.275731i
\(292\) 2.29947 + 8.58176i 0.134567 + 0.502209i
\(293\) −13.2858 + 3.55993i −0.776167 + 0.207973i −0.625094 0.780549i \(-0.714939\pi\)
−0.151073 + 0.988523i \(0.548273\pi\)
\(294\) 0.443592 1.65551i 0.0258708 0.0965512i
\(295\) −4.22910 5.42051i −0.246228 0.315594i
\(296\) 5.95275 1.25090i 0.345997 0.0727072i
\(297\) 13.1978 13.1978i 0.765817 0.765817i
\(298\) 10.9993 6.35046i 0.637174 0.367872i
\(299\) −3.49337 + 6.05069i −0.202027 + 0.349921i
\(300\) 0.135151 + 8.38931i 0.00780296 + 0.484357i
\(301\) 6.29804 + 23.5046i 0.363013 + 1.35478i
\(302\) 2.05936i 0.118503i
\(303\) −9.68860 + 2.59605i −0.556596 + 0.149139i
\(304\) −1.00297 1.00297i −0.0575241 0.0575241i
\(305\) −3.15234 + 7.78725i −0.180503 + 0.445897i
\(306\) −0.407333 −0.0232857
\(307\) 5.60560 + 5.60560i 0.319928 + 0.319928i 0.848740 0.528811i \(-0.177362\pi\)
−0.528811 + 0.848740i \(0.677362\pi\)
\(308\) 2.21067 8.25032i 0.125964 0.470106i
\(309\) −6.58574 + 1.76464i −0.374650 + 0.100387i
\(310\) −2.30216 2.95071i −0.130754 0.167589i
\(311\) 6.86912 25.6359i 0.389512 1.45368i −0.441417 0.897302i \(-0.645524\pi\)
0.830930 0.556377i \(-0.187809\pi\)
\(312\) −4.80551 1.28763i −0.272058 0.0728978i
\(313\) −11.0739 19.1806i −0.625934 1.08415i −0.988359 0.152137i \(-0.951385\pi\)
0.362425 0.932013i \(-0.381949\pi\)
\(314\) 4.81173 + 17.9576i 0.271542 + 1.01341i
\(315\) −0.996590 + 0.139378i −0.0561515 + 0.00785308i
\(316\) 3.96452 14.7958i 0.223022 0.832328i
\(317\) 1.33273 4.97383i 0.0748537 0.279358i −0.918346 0.395778i \(-0.870475\pi\)
0.993200 + 0.116420i \(0.0371418\pi\)
\(318\) 7.24914 + 12.5559i 0.406512 + 0.704099i
\(319\) −9.41003 9.41003i −0.526860 0.526860i
\(320\) 1.34690 1.78490i 0.0752940 0.0997788i
\(321\) −28.5209 + 16.4665i −1.59188 + 0.919073i
\(322\) −4.07453 + 4.07453i −0.227065 + 0.227065i
\(323\) 2.21973 2.21973i 0.123509 0.123509i
\(324\) −4.20699 7.28672i −0.233722 0.404818i
\(325\) 14.3784 + 3.60549i 0.797571 + 0.199996i
\(326\) −19.4762 11.2446i −1.07869 0.622779i
\(327\) 25.8927 1.43187
\(328\) 2.80211 + 1.61780i 0.154720 + 0.0893279i
\(329\) 22.3468 + 12.9019i 1.23202 + 0.711305i
\(330\) −12.9813 + 1.81550i −0.714595 + 0.0999398i
\(331\) 11.0330 + 2.95628i 0.606428 + 0.162492i 0.548951 0.835855i \(-0.315028\pi\)
0.0574777 + 0.998347i \(0.481694\pi\)
\(332\) −7.36193 7.36193i −0.404038 0.404038i
\(333\) 0.833707 0.747186i 0.0456869 0.0409455i
\(334\) 0.643446i 0.0352078i
\(335\) −6.61932 + 16.3517i −0.361652 + 0.893391i
\(336\) −3.55340 2.05156i −0.193854 0.111922i
\(337\) 24.0026 6.43147i 1.30750 0.350344i 0.463221 0.886243i \(-0.346694\pi\)
0.844283 + 0.535898i \(0.180027\pi\)
\(338\) 2.10523 3.64637i 0.114510 0.198336i
\(339\) 4.78598 + 4.78598i 0.259939 + 0.259939i
\(340\) 3.95028 + 2.98091i 0.214234 + 0.161663i
\(341\) 4.13421 4.13421i 0.223880 0.223880i
\(342\) −0.252163 0.0675669i −0.0136354 0.00365360i
\(343\) −13.8686 13.8686i −0.748836 0.748836i
\(344\) −9.95193 −0.536572
\(345\) 8.19666 + 3.31808i 0.441293 + 0.178639i
\(346\) 0.741863 + 2.76867i 0.0398828 + 0.148845i
\(347\) 22.1398 1.18853 0.594264 0.804270i \(-0.297443\pi\)
0.594264 + 0.804270i \(0.297443\pi\)
\(348\) −5.53635 + 3.19641i −0.296779 + 0.171346i
\(349\) −8.85764 + 5.11396i −0.474139 + 0.273744i −0.717971 0.696073i \(-0.754929\pi\)
0.243832 + 0.969818i \(0.421595\pi\)
\(350\) 10.6848 + 5.94148i 0.571127 + 0.317585i
\(351\) −15.3010 + 4.09988i −0.816706 + 0.218836i
\(352\) 3.02521 + 1.74661i 0.161244 + 0.0930946i
\(353\) −10.2385 + 5.91121i −0.544941 + 0.314622i −0.747079 0.664735i \(-0.768544\pi\)
0.202138 + 0.979357i \(0.435211\pi\)
\(354\) −2.57975 4.46825i −0.137112 0.237485i
\(355\) −4.85269 11.4536i −0.257554 0.607895i
\(356\) −5.76479 + 5.76479i −0.305533 + 0.305533i
\(357\) 4.54044 7.86427i 0.240306 0.416221i
\(358\) 0.642888 + 0.172261i 0.0339777 + 0.00910430i
\(359\) 10.0299i 0.529357i −0.964337 0.264678i \(-0.914734\pi\)
0.964337 0.264678i \(-0.0852658\pi\)
\(360\) 0.0504298 0.408447i 0.00265788 0.0215271i
\(361\) −14.7121 + 8.49406i −0.774323 + 0.447056i
\(362\) 6.31561 0.331941
\(363\) −0.522297 1.94924i −0.0274135 0.102309i
\(364\) −5.12589 + 5.12589i −0.268670 + 0.268670i
\(365\) −2.75163 19.6748i −0.144027 1.02983i
\(366\) −3.15234 + 5.46002i −0.164776 + 0.285400i
\(367\) −0.343035 1.28022i −0.0179063 0.0668271i 0.956395 0.292078i \(-0.0943466\pi\)
−0.974301 + 0.225251i \(0.927680\pi\)
\(368\) −1.17832 2.04090i −0.0614239 0.106389i
\(369\) 0.595511 0.0310011
\(370\) −13.5532 + 1.14497i −0.704597 + 0.0595240i
\(371\) 21.1254 1.09678
\(372\) −1.40431 2.43234i −0.0728103 0.126111i
\(373\) 2.80135 + 10.4548i 0.145049 + 0.541329i 0.999753 + 0.0222142i \(0.00707159\pi\)
−0.854705 + 0.519115i \(0.826262\pi\)
\(374\) −3.86553 + 6.69530i −0.199882 + 0.346206i
\(375\) 1.99874 18.6547i 0.103215 0.963326i
\(376\) −7.46221 + 7.46221i −0.384834 + 0.384834i
\(377\) 2.92321 + 10.9096i 0.150553 + 0.561871i
\(378\) −13.0645 −0.671967
\(379\) −23.6555 + 13.6575i −1.21510 + 0.701540i −0.963867 0.266386i \(-0.914171\pi\)
−0.251237 + 0.967926i \(0.580837\pi\)
\(380\) 1.95099 + 2.50061i 0.100084 + 0.128279i
\(381\) 30.4953i 1.56232i
\(382\) −6.43295 1.72370i −0.329138 0.0881923i
\(383\) 10.9382 18.9456i 0.558918 0.968075i −0.438669 0.898649i \(-0.644550\pi\)
0.997587 0.0694263i \(-0.0221169\pi\)
\(384\) 1.18658 1.18658i 0.0605525 0.0605525i
\(385\) −7.16654 + 17.7035i −0.365241 + 0.902255i
\(386\) −7.61759 13.1941i −0.387725 0.671560i
\(387\) −1.58626 + 0.915827i −0.0806341 + 0.0465541i
\(388\) −9.37894 5.41493i −0.476144 0.274902i
\(389\) 15.2282 4.08038i 0.772100 0.206884i 0.148801 0.988867i \(-0.452459\pi\)
0.623299 + 0.781984i \(0.285792\pi\)
\(390\) 10.3117 + 4.17424i 0.522151 + 0.211371i
\(391\) 4.51685 2.60781i 0.228427 0.131882i
\(392\) 0.884516 0.510676i 0.0446748 0.0257930i
\(393\) −2.20683 −0.111320
\(394\) 4.74662 + 17.7146i 0.239131 + 0.892450i
\(395\) −12.8522 + 31.7488i −0.646663 + 1.59746i
\(396\) 0.642927 0.0323083
\(397\) 20.1070 + 20.1070i 1.00914 + 1.00914i 0.999958 + 0.00918282i \(0.00292302\pi\)
0.00918282 + 0.999958i \(0.497077\pi\)
\(398\) −2.47071 0.662025i −0.123845 0.0331843i
\(399\) 4.11529 4.11529i 0.206022 0.206022i
\(400\) −3.47813 + 3.59203i −0.173906 + 0.179601i
\(401\) −12.4652 12.4652i −0.622484 0.622484i 0.323682 0.946166i \(-0.395079\pi\)
−0.946166 + 0.323682i \(0.895079\pi\)
\(402\) −6.61932 + 11.4650i −0.330142 + 0.571822i
\(403\) −4.79301 + 1.28428i −0.238757 + 0.0639748i
\(404\) −5.17649 2.98865i −0.257540 0.148691i
\(405\) 7.33966 + 17.3235i 0.364710 + 0.860813i
\(406\) 9.31498i 0.462295i
\(407\) −4.36967 20.7943i −0.216597 1.03073i
\(408\) 2.62610 + 2.62610i 0.130011 + 0.130011i
\(409\) −34.1278 9.14453i −1.68751 0.452168i −0.717767 0.696283i \(-0.754836\pi\)
−0.969746 + 0.244116i \(0.921502\pi\)
\(410\) −5.77520 4.35802i −0.285217 0.215227i
\(411\) −2.34549 1.35417i −0.115694 0.0667962i
\(412\) −3.51867 2.03151i −0.173353 0.100085i
\(413\) −7.51790 −0.369932
\(414\) −0.375628 0.216869i −0.0184611 0.0106585i
\(415\) 14.3206 + 18.3549i 0.702968 + 0.901006i
\(416\) −1.48236 2.56752i −0.0726786 0.125883i
\(417\) 15.3487 15.3487i 0.751627 0.751627i
\(418\) −3.50358 + 3.50358i −0.171366 + 0.171366i
\(419\) 20.5291 11.8525i 1.00291 0.579032i 0.0938034 0.995591i \(-0.470097\pi\)
0.909109 + 0.416559i \(0.136764\pi\)
\(420\) 7.32365 + 5.52649i 0.357357 + 0.269665i
\(421\) −7.38381 7.38381i −0.359865 0.359865i 0.503898 0.863763i \(-0.331899\pi\)
−0.863763 + 0.503898i \(0.831899\pi\)
\(422\) 0.494303 + 0.856158i 0.0240623 + 0.0416771i
\(423\) −0.502707 + 1.87613i −0.0244424 + 0.0912204i
\(424\) −2.23615 + 8.34541i −0.108597 + 0.405289i
\(425\) −7.94975 7.69767i −0.385619 0.373392i
\(426\) −2.41611 9.01704i −0.117061 0.436877i
\(427\) 4.59328 + 7.95579i 0.222284 + 0.385008i
\(428\) −18.9567 5.07945i −0.916309 0.245524i
\(429\) −4.49798 + 16.7867i −0.217164 + 0.810469i
\(430\) 22.0855 + 2.72683i 1.06506 + 0.131500i
\(431\) 6.79675 1.82118i 0.327388 0.0877234i −0.0913813 0.995816i \(-0.529128\pi\)
0.418769 + 0.908093i \(0.362462\pi\)
\(432\) 1.38289 5.16103i 0.0665345 0.248310i
\(433\) −13.5027 13.5027i −0.648898 0.648898i 0.303829 0.952727i \(-0.401735\pi\)
−0.952727 + 0.303829i \(0.901735\pi\)
\(434\) −4.09245 −0.196444
\(435\) 13.1622 5.57657i 0.631078 0.267376i
\(436\) 10.9106 + 10.9106i 0.522525 + 0.522525i
\(437\) 3.22877 0.865146i 0.154453 0.0413855i
\(438\) 14.9089i 0.712374i
\(439\) −8.08839 30.1863i −0.386038 1.44071i −0.836525 0.547929i \(-0.815416\pi\)
0.450487 0.892783i \(-0.351250\pi\)
\(440\) −6.23504 4.70501i −0.297244 0.224303i
\(441\) 0.0939899 0.162795i 0.00447571 0.00775216i
\(442\) 5.68234 3.28070i 0.270282 0.156047i
\(443\) −19.8158 + 19.8158i −0.941475 + 0.941475i −0.998380 0.0569049i \(-0.981877\pi\)
0.0569049 + 0.998380i \(0.481877\pi\)
\(444\) −10.1921 0.557805i −0.483696 0.0264723i
\(445\) 14.3729 11.2138i 0.681340 0.531584i
\(446\) 3.41073 12.7290i 0.161503 0.602737i
\(447\) −20.5869 + 5.51625i −0.973728 + 0.260910i
\(448\) −0.632846 2.36181i −0.0298991 0.111585i
\(449\) 18.4205 4.93575i 0.869315 0.232932i 0.203523 0.979070i \(-0.434761\pi\)
0.665791 + 0.746138i \(0.268094\pi\)
\(450\) −0.223829 + 0.892615i −0.0105514 + 0.0420783i
\(451\) 5.65132 9.78837i 0.266110 0.460916i
\(452\) 4.03342i 0.189716i
\(453\) −0.894421 + 3.33802i −0.0420236 + 0.156834i
\(454\) 16.4272i 0.770965i
\(455\) 12.7800 9.97097i 0.599134 0.467446i
\(456\) 1.19010 + 2.06132i 0.0557316 + 0.0965300i
\(457\) −28.4891 16.4482i −1.33266 0.769414i −0.346956 0.937881i \(-0.612785\pi\)
−0.985707 + 0.168468i \(0.946118\pi\)
\(458\) 8.20145i 0.383229i
\(459\) 11.4222 + 3.06057i 0.533143 + 0.142855i
\(460\) 2.05573 + 4.85206i 0.0958489 + 0.226229i
\(461\) 35.0617 + 9.39475i 1.63299 + 0.437557i 0.954780 0.297314i \(-0.0960909\pi\)
0.678206 + 0.734872i \(0.262758\pi\)
\(462\) −7.16654 + 12.4128i −0.333418 + 0.577496i
\(463\) −11.9672 + 20.7278i −0.556163 + 0.963303i 0.441649 + 0.897188i \(0.354394\pi\)
−0.997812 + 0.0661149i \(0.978940\pi\)
\(464\) −3.67980 0.985999i −0.170830 0.0457739i
\(465\) 2.45002 + 5.78268i 0.113617 + 0.268166i
\(466\) −27.4519 7.35571i −1.27168 0.340747i
\(467\) 27.3563i 1.26590i 0.774194 + 0.632948i \(0.218155\pi\)
−0.774194 + 0.632948i \(0.781845\pi\)
\(468\) −0.472552 0.272828i −0.0218437 0.0126115i
\(469\) 9.64501 + 16.7056i 0.445365 + 0.771395i
\(470\) 18.6049 14.5156i 0.858180 0.669555i
\(471\) 31.1974i 1.43750i
\(472\) 0.795776 2.96988i 0.0366286 0.136700i
\(473\) 34.7643i 1.59846i
\(474\) −12.8522 + 22.2606i −0.590320 + 1.02246i
\(475\) −3.64449 6.08398i −0.167221 0.279152i
\(476\) 5.22708 1.40059i 0.239583 0.0641960i
\(477\) 0.411563 + 1.53597i 0.0188442 + 0.0703274i
\(478\) 8.69934 2.33098i 0.397899 0.106617i
\(479\) 5.57077 20.7904i 0.254535 0.949938i −0.713814 0.700336i \(-0.753034\pi\)
0.968349 0.249602i \(-0.0802997\pi\)
\(480\) −2.95840 + 2.30816i −0.135032 + 0.105352i
\(481\) −5.61239 + 17.1381i −0.255903 + 0.781429i
\(482\) 17.7651 17.7651i 0.809177 0.809177i
\(483\) 8.37406 4.83477i 0.381033 0.219989i
\(484\) 0.601283 1.04145i 0.0273311 0.0473388i
\(485\) 19.3302 + 14.5867i 0.877740 + 0.662350i
\(486\) −0.494331 1.84487i −0.0224233 0.0836849i
\(487\) 18.4473i 0.835928i −0.908464 0.417964i \(-0.862744\pi\)
0.908464 0.417964i \(-0.137256\pi\)
\(488\) −3.62907 + 0.972406i −0.164280 + 0.0440187i
\(489\) 26.6852 + 26.6852i 1.20675 + 1.20675i
\(490\) −2.10286 + 0.890942i −0.0949975 + 0.0402487i
\(491\) −11.6850 −0.527338 −0.263669 0.964613i \(-0.584933\pi\)
−0.263669 + 0.964613i \(0.584933\pi\)
\(492\) −3.83929 3.83929i −0.173089 0.173089i
\(493\) 2.18218 8.14400i 0.0982804 0.366787i
\(494\) 4.06189 1.08838i 0.182753 0.0489685i
\(495\) −1.42679 0.176162i −0.0641297 0.00791790i
\(496\) 0.433190 1.61669i 0.0194508 0.0725914i
\(497\) −13.1387 3.52051i −0.589352 0.157916i
\(498\) 8.73553 + 15.1304i 0.391448 + 0.678009i
\(499\) 9.24703 + 34.5104i 0.413954 + 1.54490i 0.786922 + 0.617053i \(0.211673\pi\)
−0.372968 + 0.927844i \(0.621660\pi\)
\(500\) 8.70293 7.01848i 0.389207 0.313876i
\(501\) 0.279461 1.04296i 0.0124854 0.0465961i
\(502\) 5.18413 19.3474i 0.231379 0.863518i
\(503\) −4.74122 8.21204i −0.211401 0.366157i 0.740752 0.671778i \(-0.234469\pi\)
−0.952153 + 0.305621i \(0.901136\pi\)
\(504\) −0.318216 0.318216i −0.0141745 0.0141745i
\(505\) 10.6689 + 8.05082i 0.474758 + 0.358257i
\(506\) −7.12931 + 4.11611i −0.316937 + 0.182983i
\(507\) −4.99606 + 4.99606i −0.221883 + 0.221883i
\(508\) 12.8501 12.8501i 0.570129 0.570129i
\(509\) −6.92535 11.9951i −0.306961 0.531672i 0.670735 0.741697i \(-0.265979\pi\)
−0.977696 + 0.210025i \(0.932645\pi\)
\(510\) −5.10834 6.54744i −0.226201 0.289926i
\(511\) −18.8133 10.8619i −0.832251 0.480500i
\(512\) 1.00000 0.0441942
\(513\) 6.56333 + 3.78934i 0.289778 + 0.167304i
\(514\) −21.3340 12.3172i −0.941004 0.543289i
\(515\) 7.25206 + 5.47247i 0.319564 + 0.241146i
\(516\) 16.1311 + 4.32231i 0.710132 + 0.190279i
\(517\) 26.0671 + 26.0671i 1.14643 + 1.14643i
\(518\) −8.12934 + 12.4549i −0.357183 + 0.547236i
\(519\) 4.80994i 0.211133i
\(520\) 2.58617 + 6.10405i 0.113411 + 0.267680i
\(521\) 1.49191 + 0.861352i 0.0653615 + 0.0377365i 0.532325 0.846540i \(-0.321319\pi\)
−0.466963 + 0.884277i \(0.654652\pi\)
\(522\) −0.677267 + 0.181473i −0.0296432 + 0.00794287i
\(523\) 16.7690 29.0447i 0.733256 1.27004i −0.222228 0.974995i \(-0.571333\pi\)
0.955484 0.295042i \(-0.0953337\pi\)
\(524\) −0.929912 0.929912i −0.0406234 0.0406234i
\(525\) −14.7385 14.2712i −0.643241 0.622844i
\(526\) −8.95272 + 8.95272i −0.390357 + 0.390357i
\(527\) 3.57800 + 0.958721i 0.155860 + 0.0417625i
\(528\) −4.14499 4.14499i −0.180387 0.180387i
\(529\) −17.4463 −0.758534
\(530\) 7.24914 17.9076i 0.314883 0.777855i
\(531\) −0.146463 0.546606i −0.00635594 0.0237207i
\(532\) 3.46819 0.150365
\(533\) −8.30745 + 4.79631i −0.359835 + 0.207751i
\(534\) 11.8479 6.84039i 0.512709 0.296013i
\(535\) 40.6774 + 16.4665i 1.75864 + 0.711911i
\(536\) −7.62035 + 2.04187i −0.329149 + 0.0881952i
\(537\) −0.967241 0.558437i −0.0417395 0.0240983i
\(538\) 26.1775 15.1136i 1.12859 0.651594i
\(539\) −1.78390 3.08981i −0.0768381 0.133087i
\(540\) −4.48306 + 11.0745i −0.192920 + 0.476572i
\(541\) −31.7923 + 31.7923i −1.36686 + 1.36686i −0.501976 + 0.864881i \(0.667394\pi\)
−0.864881 + 0.501976i \(0.832606\pi\)
\(542\) 7.93046 13.7360i 0.340642 0.590010i
\(543\) −10.2370 2.74299i −0.439311 0.117713i
\(544\) 2.21317i 0.0948887i
\(545\) −21.2236 27.2026i −0.909117 1.16523i
\(546\) 10.5348 6.08229i 0.450849 0.260298i
\(547\) −16.9250 −0.723662 −0.361831 0.932244i \(-0.617848\pi\)
−0.361831 + 0.932244i \(0.617848\pi\)
\(548\) −0.417721 1.55896i −0.0178442 0.0665953i
\(549\) −0.488959 + 0.488959i −0.0208683 + 0.0208683i
\(550\) 12.5477 + 12.1498i 0.535037 + 0.518071i
\(551\) 2.70179 4.67964i 0.115100 0.199359i
\(552\) 1.02353 + 3.81986i 0.0435643 + 0.162584i
\(553\) 18.7269 + 32.4359i 0.796349 + 1.37932i
\(554\) 4.23555 0.179951
\(555\) 22.4657 + 4.03053i 0.953614 + 0.171087i
\(556\) 12.9352 0.548574
\(557\) −8.05558 13.9527i −0.341326 0.591194i 0.643353 0.765569i \(-0.277543\pi\)
−0.984679 + 0.174376i \(0.944209\pi\)
\(558\) −0.0797286 0.297551i −0.00337518 0.0125964i
\(559\) 14.7523 25.5518i 0.623957 1.08073i
\(560\) 0.757284 + 5.41477i 0.0320011 + 0.228816i
\(561\) 9.17354 9.17354i 0.387307 0.387307i
\(562\) 4.18061 + 15.6022i 0.176348 + 0.658141i
\(563\) 9.61453 0.405204 0.202602 0.979261i \(-0.435060\pi\)
0.202602 + 0.979261i \(0.435060\pi\)
\(564\) 15.3365 8.85451i 0.645782 0.372842i
\(565\) 1.10516 8.95103i 0.0464943 0.376572i
\(566\) 16.5021i 0.693635i
\(567\) 19.8722 + 5.32475i 0.834555 + 0.223618i
\(568\) 2.78149 4.81768i 0.116709 0.202146i
\(569\) −11.8059 + 11.8059i −0.494930 + 0.494930i −0.909855 0.414926i \(-0.863808\pi\)
0.414926 + 0.909855i \(0.363808\pi\)
\(570\) −2.07629 4.90060i −0.0869663 0.205263i
\(571\) −2.04047 3.53420i −0.0853911 0.147902i 0.820167 0.572125i \(-0.193881\pi\)
−0.905558 + 0.424223i \(0.860547\pi\)
\(572\) −8.96890 + 5.17820i −0.375009 + 0.216511i
\(573\) 9.67853 + 5.58790i 0.404326 + 0.233438i
\(574\) −7.64186 + 2.04763i −0.318965 + 0.0854665i
\(575\) −3.23264 11.3310i −0.134811 0.472537i
\(576\) 0.159392 0.0920251i 0.00664134 0.00383438i
\(577\) −31.3189 + 18.0820i −1.30382 + 0.752762i −0.981057 0.193718i \(-0.937945\pi\)
−0.322764 + 0.946479i \(0.604612\pi\)
\(578\) 12.1019 0.503373
\(579\) 6.61693 + 24.6947i 0.274990 + 1.02628i
\(580\) 7.89611 + 3.19641i 0.327868 + 0.132724i
\(581\) 25.4571 1.05614
\(582\) 12.8505 + 12.8505i 0.532671 + 0.532671i
\(583\) 29.1523 + 7.81135i 1.20737 + 0.323513i
\(584\) 6.28228 6.28228i 0.259963 0.259963i
\(585\) 0.973941 + 0.734944i 0.0402675 + 0.0303862i
\(586\) 9.72590 + 9.72590i 0.401773 + 0.401773i
\(587\) 17.5629 30.4198i 0.724897 1.25556i −0.234120 0.972208i \(-0.575221\pi\)
0.959017 0.283350i \(-0.0914459\pi\)
\(588\) −1.65551 + 0.443592i −0.0682720 + 0.0182934i
\(589\) 2.05596 + 1.18701i 0.0847142 + 0.0489098i
\(590\) −2.57975 + 6.37276i −0.106207 + 0.262362i
\(591\) 30.7752i 1.26592i
\(592\) −4.05969 4.52978i −0.166852 0.186173i
\(593\) −6.62602 6.62602i −0.272098 0.272098i 0.557846 0.829944i \(-0.311628\pi\)
−0.829944 + 0.557846i \(0.811628\pi\)
\(594\) −18.0286 4.83075i −0.739722 0.198208i
\(595\) −11.9838 + 1.67600i −0.491287 + 0.0687091i
\(596\) −10.9993 6.35046i −0.450550 0.260125i
\(597\) 3.71724 + 2.14615i 0.152137 + 0.0878361i
\(598\) 6.98674 0.285709
\(599\) −35.4303 20.4557i −1.44764 0.835797i −0.449302 0.893380i \(-0.648327\pi\)
−0.998341 + 0.0575829i \(0.981661\pi\)
\(600\) 7.19778 4.31170i 0.293848 0.176024i
\(601\) −13.4363 23.2723i −0.548078 0.949299i −0.998406 0.0564357i \(-0.982026\pi\)
0.450328 0.892863i \(-0.351307\pi\)
\(602\) 17.2066 17.2066i 0.701287 0.701287i
\(603\) −1.02672 + 1.02672i −0.0418113 + 0.0418113i
\(604\) −1.78346 + 1.02968i −0.0725680 + 0.0418972i
\(605\) −1.61974 + 2.14646i −0.0658517 + 0.0872660i
\(606\) 7.09255 + 7.09255i 0.288115 + 0.288115i
\(607\) −19.4079 33.6155i −0.787743 1.36441i −0.927347 0.374203i \(-0.877916\pi\)
0.139604 0.990207i \(-0.455417\pi\)
\(608\) −0.367111 + 1.37008i −0.0148883 + 0.0555640i
\(609\) 4.04567 15.0986i 0.163939 0.611828i
\(610\) 8.32013 1.16361i 0.336872 0.0471133i
\(611\) −8.09770 30.2210i −0.327598 1.22261i
\(612\) 0.203667 + 0.352761i 0.00823274 + 0.0142595i
\(613\) −2.98045 0.798609i −0.120379 0.0322555i 0.198126 0.980176i \(-0.436514\pi\)
−0.318506 + 0.947921i \(0.603181\pi\)
\(614\) 2.05179 7.65739i 0.0828036 0.309027i
\(615\) 7.46826 + 9.57220i 0.301149 + 0.385988i
\(616\) −8.25032 + 2.21067i −0.332415 + 0.0890703i
\(617\) 0.869197 3.24389i 0.0349926 0.130594i −0.946220 0.323524i \(-0.895132\pi\)
0.981213 + 0.192930i \(0.0617990\pi\)
\(618\) 4.82110 + 4.82110i 0.193933 + 0.193933i
\(619\) −12.8047 −0.514665 −0.257332 0.966323i \(-0.582844\pi\)
−0.257332 + 0.966323i \(0.582844\pi\)
\(620\) −1.40431 + 3.46908i −0.0563986 + 0.139322i
\(621\) 8.90367 + 8.90367i 0.357292 + 0.357292i
\(622\) −25.6359 + 6.86912i −1.02791 + 0.275427i
\(623\) 19.9343i 0.798649i
\(624\) 1.28763 + 4.80551i 0.0515465 + 0.192374i
\(625\) −21.2368 + 13.1909i −0.849470 + 0.527637i
\(626\) −11.0739 + 19.1806i −0.442602 + 0.766610i
\(627\) 7.20062 4.15728i 0.287565 0.166026i
\(628\) 13.1459 13.1459i 0.524579 0.524579i
\(629\) 10.0252 8.98476i 0.399729 0.358246i
\(630\) 0.619000 + 0.793383i 0.0246615 + 0.0316091i
\(631\) 12.1780 45.4491i 0.484800 1.80930i −0.0961584 0.995366i \(-0.530656\pi\)
0.580959 0.813933i \(-0.302678\pi\)
\(632\) −14.7958 + 3.96452i −0.588545 + 0.157700i
\(633\) −0.429370 1.60243i −0.0170659 0.0636909i
\(634\) −4.97383 + 1.33273i −0.197536 + 0.0529296i
\(635\) −32.0380 + 24.9961i −1.27139 + 0.991942i
\(636\) 7.24914 12.5559i 0.287447 0.497873i
\(637\) 3.02802i 0.119974i
\(638\) −3.44431 + 12.8543i −0.136361 + 0.508908i
\(639\) 1.02387i 0.0405036i
\(640\) −2.21922 0.274000i −0.0877223 0.0108308i
\(641\) 3.89777 + 6.75113i 0.153953 + 0.266654i 0.932677 0.360712i \(-0.117466\pi\)
−0.778725 + 0.627366i \(0.784133\pi\)
\(642\) 28.5209 + 16.4665i 1.12563 + 0.649883i
\(643\) 11.1150i 0.438333i 0.975687 + 0.219167i \(0.0703339\pi\)
−0.975687 + 0.219167i \(0.929666\pi\)
\(644\) 5.56592 + 1.49138i 0.219328 + 0.0587687i
\(645\) −34.6141 14.0121i −1.36293 0.551725i
\(646\) −3.03221 0.812478i −0.119301 0.0319665i
\(647\) −18.8220 + 32.6007i −0.739970 + 1.28167i 0.212538 + 0.977153i \(0.431827\pi\)
−0.952508 + 0.304513i \(0.901506\pi\)
\(648\) −4.20699 + 7.28672i −0.165266 + 0.286249i
\(649\) −10.3744 2.77982i −0.407232 0.109117i
\(650\) −4.06677 14.2548i −0.159512 0.559120i
\(651\) 6.63345 + 1.77743i 0.259986 + 0.0696629i
\(652\) 22.4891i 0.880743i
\(653\) −19.4806 11.2471i −0.762335 0.440135i 0.0677982 0.997699i \(-0.478403\pi\)
−0.830134 + 0.557564i \(0.811736\pi\)
\(654\) −12.9464 22.4238i −0.506243 0.876838i
\(655\) 1.80888 + 2.31847i 0.0706788 + 0.0905902i
\(656\) 3.23559i 0.126329i
\(657\) 0.423219 1.57947i 0.0165113 0.0616211i
\(658\) 25.8038i 1.00594i
\(659\) −5.01498 + 8.68620i −0.195356 + 0.338366i −0.947017 0.321183i \(-0.895920\pi\)
0.751661 + 0.659549i \(0.229253\pi\)
\(660\) 8.06290 + 10.3344i 0.313848 + 0.402264i
\(661\) −2.00913 + 0.538344i −0.0781459 + 0.0209391i −0.297680 0.954666i \(-0.596213\pi\)
0.219534 + 0.975605i \(0.429546\pi\)
\(662\) −2.95628 11.0330i −0.114899 0.428810i
\(663\) −10.6354 + 2.84974i −0.413044 + 0.110675i
\(664\) −2.69465 + 10.0566i −0.104573 + 0.390271i
\(665\) −7.69667 0.950285i −0.298464 0.0368505i
\(666\) −1.06394 0.348418i −0.0412267 0.0135009i
\(667\) 6.34829 6.34829i 0.245807 0.245807i
\(668\) 0.557240 0.321723i 0.0215603 0.0124478i
\(669\) −11.0569 + 19.1511i −0.427485 + 0.740426i
\(670\) 17.4707 2.44337i 0.674951 0.0943955i
\(671\) 3.39682 + 12.6771i 0.131133 + 0.489395i
\(672\) 4.10312i 0.158281i
\(673\) 39.6590 10.6266i 1.52874 0.409625i 0.606134 0.795363i \(-0.292720\pi\)
0.922609 + 0.385738i \(0.126053\pi\)
\(674\) −17.5711 17.5711i −0.676814 0.676814i
\(675\) 12.9833 23.3484i 0.499728 0.898681i
\(676\) −4.21046 −0.161941
\(677\) −31.0400 31.0400i −1.19296 1.19296i −0.976231 0.216732i \(-0.930460\pi\)
−0.216732 0.976231i \(-0.569540\pi\)
\(678\) 1.75179 6.53776i 0.0672770 0.251081i
\(679\) 25.5781 6.85363i 0.981598 0.263018i
\(680\) 0.606408 4.91150i 0.0232547 0.188347i
\(681\) −7.13462 + 26.6268i −0.273399 + 1.02034i
\(682\) −5.64744 1.51323i −0.216252 0.0579444i
\(683\) −3.59677 6.22979i −0.137627 0.238376i 0.788971 0.614430i \(-0.210614\pi\)
−0.926598 + 0.376054i \(0.877281\pi\)
\(684\) 0.0675669 + 0.252163i 0.00258348 + 0.00964169i
\(685\) 0.499859 + 3.57412i 0.0190986 + 0.136560i
\(686\) −5.07628 + 18.9449i −0.193813 + 0.723321i
\(687\) −3.56205 + 13.2937i −0.135901 + 0.507188i
\(688\) 4.97597 + 8.61863i 0.189707 + 0.328582i
\(689\) −18.1122 18.1122i −0.690021 0.690021i
\(690\) −1.22479 8.75755i −0.0466269 0.333394i
\(691\) −6.86509 + 3.96356i −0.261160 + 0.150781i −0.624864 0.780734i \(-0.714846\pi\)
0.363703 + 0.931515i \(0.381512\pi\)
\(692\) 2.02681 2.02681i 0.0770476 0.0770476i
\(693\) −1.11160 + 1.11160i −0.0422262 + 0.0422262i
\(694\) −11.0699 19.1736i −0.420208 0.727822i
\(695\) −28.7060 3.54425i −1.08888 0.134441i
\(696\) 5.53635 + 3.19641i 0.209855 + 0.121160i
\(697\) 7.16091 0.271239
\(698\) 8.85764 + 5.11396i 0.335267 + 0.193566i
\(699\) 41.3020 + 23.8457i 1.56219 + 0.901929i
\(700\) −0.196929 12.2241i −0.00744321 0.462026i
\(701\) −34.5973 9.27031i −1.30672 0.350135i −0.462733 0.886498i \(-0.653131\pi\)
−0.843987 + 0.536363i \(0.819798\pi\)
\(702\) 11.2011 + 11.2011i 0.422758 + 0.422758i
\(703\) 7.69651 3.89915i 0.290279 0.147059i
\(704\) 3.49322i 0.131656i
\(705\) −36.4611 + 15.4479i −1.37320 + 0.581801i
\(706\) 10.2385 + 5.91121i 0.385332 + 0.222471i
\(707\) 14.1173 3.78271i 0.530934 0.142263i
\(708\) −2.57975 + 4.46825i −0.0969529 + 0.167927i
\(709\) 3.06214 + 3.06214i 0.115001 + 0.115001i 0.762266 0.647264i \(-0.224087\pi\)
−0.647264 + 0.762266i \(0.724087\pi\)
\(710\) −7.49278 + 9.92936i −0.281199 + 0.372642i
\(711\) −1.99350 + 1.99350i −0.0747620 + 0.0747620i
\(712\) 7.87485 + 2.11006i 0.295122 + 0.0790778i
\(713\) 2.78906 + 2.78906i 0.104451 + 0.104451i
\(714\) −9.08088 −0.339843
\(715\) 21.3228 9.03406i 0.797426 0.337855i
\(716\) −0.172261 0.642888i −0.00643771 0.0240259i
\(717\) −15.1132 −0.564411
\(718\) −8.68613 + 5.01494i −0.324163 + 0.187156i
\(719\) 23.9560 13.8310i 0.893409 0.515810i 0.0183527 0.999832i \(-0.494158\pi\)
0.875056 + 0.484022i \(0.160825\pi\)
\(720\) −0.378941 + 0.160550i −0.0141223 + 0.00598335i
\(721\) 9.59607 2.57126i 0.357376 0.0957587i
\(722\) 14.7121 + 8.49406i 0.547529 + 0.316116i
\(723\) −36.5111 + 21.0797i −1.35786 + 0.783963i
\(724\) −3.15781 5.46948i −0.117359 0.203272i
\(725\) −16.6474 9.25707i −0.618267 0.343799i
\(726\) −1.42694 + 1.42694i −0.0529588 + 0.0529588i
\(727\) −11.3377 + 19.6374i −0.420491 + 0.728312i −0.995988 0.0894923i \(-0.971476\pi\)
0.575496 + 0.817804i \(0.304809\pi\)
\(728\) 7.00210 + 1.87621i 0.259515 + 0.0695369i
\(729\) 28.4470i 1.05359i
\(730\) −15.6631 + 12.2204i −0.579717 + 0.452297i
\(731\) −19.0745 + 11.0126i −0.705494 + 0.407317i
\(732\) 6.30469 0.233028
\(733\) −3.56873 13.3187i −0.131814 0.491937i 0.868176 0.496256i \(-0.165292\pi\)
−0.999991 + 0.00431824i \(0.998625\pi\)
\(734\) −0.937188 + 0.937188i −0.0345922 + 0.0345922i
\(735\) 3.79548 0.530817i 0.139998 0.0195795i
\(736\) −1.17832 + 2.04090i −0.0434333 + 0.0752286i
\(737\) 7.13268 + 26.6195i 0.262736 + 0.980543i
\(738\) −0.297756 0.515728i −0.0109605 0.0189842i
\(739\) 0.943189 0.0346958 0.0173479 0.999850i \(-0.494478\pi\)
0.0173479 + 0.999850i \(0.494478\pi\)
\(740\) 7.76817 + 11.1649i 0.285563 + 0.410431i
\(741\) −7.05662 −0.259232
\(742\) −10.5627 18.2952i −0.387769 0.671636i
\(743\) 1.36337 + 5.08817i 0.0500172 + 0.186667i 0.986415 0.164275i \(-0.0525283\pi\)
−0.936397 + 0.350941i \(0.885862\pi\)
\(744\) −1.40431 + 2.43234i −0.0514847 + 0.0891741i
\(745\) 22.6699 + 17.1069i 0.830559 + 0.626747i
\(746\) 7.65344 7.65344i 0.280212 0.280212i
\(747\) 0.495951 + 1.85092i 0.0181459 + 0.0677215i
\(748\) 7.73107 0.282676
\(749\) 41.5578 23.9934i 1.51849 0.876699i
\(750\) −17.1548 + 7.59640i −0.626406 + 0.277381i
\(751\) 31.9929i 1.16744i 0.811956 + 0.583718i \(0.198403\pi\)
−0.811956 + 0.583718i \(0.801597\pi\)
\(752\) 10.1936 + 2.73136i 0.371721 + 0.0996024i
\(753\) −16.8059 + 29.1087i −0.612441 + 1.06078i
\(754\) 7.98635 7.98635i 0.290846 0.290846i
\(755\) 4.24002 1.79642i 0.154310 0.0653784i
\(756\) 6.53227 + 11.3142i 0.237576 + 0.411494i
\(757\) 30.5668 17.6478i 1.11097 0.641419i 0.171890 0.985116i \(-0.445013\pi\)
0.939081 + 0.343697i \(0.111679\pi\)
\(758\) 23.6555 + 13.6575i 0.859208 + 0.496064i
\(759\) 13.3436 3.57541i 0.484342 0.129779i
\(760\) 1.19010 2.93991i 0.0431695 0.106642i
\(761\) 37.6582 21.7420i 1.36511 0.788147i 0.374811 0.927101i \(-0.377707\pi\)
0.990299 + 0.138954i \(0.0443741\pi\)
\(762\) −26.4097 + 15.2476i −0.956722 + 0.552364i
\(763\) −37.7283 −1.36585
\(764\) 1.72370 + 6.43295i 0.0623614 + 0.232736i
\(765\) −0.355324 0.838658i −0.0128468 0.0303218i
\(766\) −21.8765 −0.790430
\(767\) 6.44559 + 6.44559i 0.232737 + 0.232737i
\(768\) −1.62090 0.434319i −0.0584892 0.0156721i
\(769\) −33.4001 + 33.4001i −1.20444