Properties

Label 637.2.bl.a.53.2
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.2
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.04606 - 1.39498i) q^{2} +(-2.21248 - 2.05288i) q^{3} +(1.50972 + 3.84670i) q^{4} +(1.22875 - 0.379019i) q^{5} +(1.66314 + 7.28669i) q^{6} +(2.38208 - 1.15138i) q^{7} +(1.17502 - 5.14808i) q^{8} +(0.456553 + 6.09228i) q^{9} +O(q^{10})\) \(q+(-2.04606 - 1.39498i) q^{2} +(-2.21248 - 2.05288i) q^{3} +(1.50972 + 3.84670i) q^{4} +(1.22875 - 0.379019i) q^{5} +(1.66314 + 7.28669i) q^{6} +(2.38208 - 1.15138i) q^{7} +(1.17502 - 5.14808i) q^{8} +(0.456553 + 6.09228i) q^{9} +(-3.04283 - 0.938588i) q^{10} +(-0.329200 + 4.39287i) q^{11} +(4.55659 - 11.6100i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-6.48005 - 0.967158i) q^{14} +(-3.49666 - 1.68390i) q^{15} +(-3.52718 + 3.27275i) q^{16} +(3.84373 - 0.579349i) q^{17} +(7.56449 - 13.1021i) q^{18} +(-4.06883 - 7.04743i) q^{19} +(3.31304 + 4.15442i) q^{20} +(-7.63395 - 2.34271i) q^{21} +(6.80154 - 8.52886i) q^{22} +(-7.13642 - 1.07564i) q^{23} +(-13.1681 + 8.97785i) q^{24} +(-2.76502 + 1.88516i) q^{25} +(-2.44870 - 0.369082i) q^{26} +(5.85120 - 7.33718i) q^{27} +(8.02530 + 7.42489i) q^{28} +(-3.99195 - 5.00575i) q^{29} +(4.80538 + 8.32316i) q^{30} +(1.34284 - 2.32587i) q^{31} +(1.33928 - 0.201864i) q^{32} +(9.74637 - 9.04331i) q^{33} +(-8.67271 - 4.17655i) q^{34} +(2.49059 - 2.31762i) q^{35} +(-22.7459 + 10.9539i) q^{36} +(2.33269 - 5.94361i) q^{37} +(-1.50595 + 20.0954i) q^{38} +(-2.88408 - 0.889622i) q^{39} +(-0.507421 - 6.77106i) q^{40} +(-0.600141 + 2.62939i) q^{41} +(12.3515 + 15.4426i) q^{42} +(0.945538 + 4.14267i) q^{43} +(-17.3950 + 5.36566i) q^{44} +(2.87008 + 7.31285i) q^{45} +(13.1011 + 12.1560i) q^{46} +(-6.58032 - 4.48639i) q^{47} +14.5224 q^{48} +(4.34863 - 5.48538i) q^{49} +8.28718 q^{50} +(-9.69350 - 6.60892i) q^{51} +(3.02923 + 2.81071i) q^{52} +(-1.24885 - 3.18203i) q^{53} +(-22.2072 + 6.85001i) q^{54} +(1.26048 + 5.52251i) q^{55} +(-3.12843 - 13.6160i) q^{56} +(-5.46531 + 23.9451i) q^{57} +(1.18485 + 15.8108i) q^{58} +(-3.84854 - 1.18712i) q^{59} +(1.19850 - 15.9928i) q^{60} +(-1.19012 + 3.03236i) q^{61} +(-5.99208 + 2.88563i) q^{62} +(8.10210 + 13.9866i) q^{63} +(5.64843 + 2.72014i) q^{64} +(0.942616 - 0.874620i) q^{65} +(-32.5570 + 4.90717i) q^{66} +(5.21172 - 9.02697i) q^{67} +(8.03154 + 13.9110i) q^{68} +(13.5810 + 17.0300i) q^{69} +(-8.32894 + 1.26767i) q^{70} +(-6.56270 + 8.22937i) q^{71} +(31.9000 + 4.80816i) q^{72} +(7.23578 - 4.93327i) q^{73} +(-13.0641 + 8.90693i) q^{74} +(9.98755 + 1.50538i) q^{75} +(20.9665 - 26.2912i) q^{76} +(4.27370 + 10.8432i) q^{77} +(4.66001 + 5.84347i) q^{78} +(-7.58691 - 13.1409i) q^{79} +(-3.09359 + 5.35826i) q^{80} +(-9.88460 + 1.48986i) q^{81} +(4.89588 - 4.54271i) q^{82} +(1.33364 + 0.642246i) q^{83} +(-2.51340 - 32.9024i) q^{84} +(4.50340 - 2.16873i) q^{85} +(3.84433 - 9.79519i) q^{86} +(-1.44409 + 19.2701i) q^{87} +(22.2280 + 6.85644i) q^{88} +(0.376908 + 5.02948i) q^{89} +(4.32893 - 18.9663i) q^{90} +(1.64661 - 2.07091i) q^{91} +(-6.63631 - 29.0756i) q^{92} +(-7.74573 + 2.38924i) q^{93} +(7.20533 + 18.3589i) q^{94} +(-7.67069 - 7.11736i) q^{95} +(-3.37753 - 2.30276i) q^{96} -2.98357 q^{97} +(-16.5496 + 5.15718i) q^{98} -26.9129 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} + O(q^{10}) \) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.04606 1.39498i −1.44679 0.986402i −0.995574 0.0939850i \(-0.970039\pi\)
−0.451212 0.892417i \(-0.649008\pi\)
\(3\) −2.21248 2.05288i −1.27737 1.18523i −0.972517 0.232832i \(-0.925201\pi\)
−0.304857 0.952398i \(-0.598609\pi\)
\(4\) 1.50972 + 3.84670i 0.754859 + 1.92335i
\(5\) 1.22875 0.379019i 0.549514 0.169503i −0.00755106 0.999971i \(-0.502404\pi\)
0.557065 + 0.830469i \(0.311927\pi\)
\(6\) 1.66314 + 7.28669i 0.678974 + 2.97478i
\(7\) 2.38208 1.15138i 0.900342 0.435182i
\(8\) 1.17502 5.14808i 0.415431 1.82012i
\(9\) 0.456553 + 6.09228i 0.152184 + 2.03076i
\(10\) −3.04283 0.938588i −0.962227 0.296808i
\(11\) −0.329200 + 4.39287i −0.0992575 + 1.32450i 0.695919 + 0.718121i \(0.254997\pi\)
−0.795176 + 0.606379i \(0.792622\pi\)
\(12\) 4.55659 11.6100i 1.31537 3.35152i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −6.48005 0.967158i −1.73187 0.258484i
\(15\) −3.49666 1.68390i −0.902835 0.434782i
\(16\) −3.52718 + 3.27275i −0.881796 + 0.818187i
\(17\) 3.84373 0.579349i 0.932242 0.140513i 0.334677 0.942333i \(-0.391373\pi\)
0.597565 + 0.801820i \(0.296135\pi\)
\(18\) 7.56449 13.1021i 1.78297 3.08819i
\(19\) −4.06883 7.04743i −0.933455 1.61679i −0.777367 0.629048i \(-0.783445\pi\)
−0.156088 0.987743i \(-0.549888\pi\)
\(20\) 3.31304 + 4.15442i 0.740819 + 0.928957i
\(21\) −7.63395 2.34271i −1.66587 0.511222i
\(22\) 6.80154 8.52886i 1.45009 1.81836i
\(23\) −7.13642 1.07564i −1.48805 0.224287i −0.645853 0.763462i \(-0.723498\pi\)
−0.842194 + 0.539175i \(0.818736\pi\)
\(24\) −13.1681 + 8.97785i −2.68792 + 1.83260i
\(25\) −2.76502 + 1.88516i −0.553004 + 0.377032i
\(26\) −2.44870 0.369082i −0.480230 0.0723830i
\(27\) 5.85120 7.33718i 1.12606 1.41204i
\(28\) 8.02530 + 7.42489i 1.51664 + 1.40317i
\(29\) −3.99195 5.00575i −0.741287 0.929544i 0.258044 0.966133i \(-0.416922\pi\)
−0.999330 + 0.0365893i \(0.988351\pi\)
\(30\) 4.80538 + 8.32316i 0.877338 + 1.51959i
\(31\) 1.34284 2.32587i 0.241181 0.417738i −0.719870 0.694109i \(-0.755799\pi\)
0.961051 + 0.276371i \(0.0891318\pi\)
\(32\) 1.33928 0.201864i 0.236753 0.0356848i
\(33\) 9.74637 9.04331i 1.69663 1.57424i
\(34\) −8.67271 4.17655i −1.48736 0.716273i
\(35\) 2.49059 2.31762i 0.420986 0.391749i
\(36\) −22.7459 + 10.9539i −3.79099 + 1.82564i
\(37\) 2.33269 5.94361i 0.383492 0.977123i −0.600613 0.799540i \(-0.705077\pi\)
0.984106 0.177583i \(-0.0568279\pi\)
\(38\) −1.50595 + 20.0954i −0.244297 + 3.25991i
\(39\) −2.88408 0.889622i −0.461823 0.142454i
\(40\) −0.507421 6.77106i −0.0802303 1.07060i
\(41\) −0.600141 + 2.62939i −0.0937263 + 0.410642i −0.999925 0.0122093i \(-0.996114\pi\)
0.906199 + 0.422851i \(0.138971\pi\)
\(42\) 12.3515 + 15.4426i 1.90588 + 2.38284i
\(43\) 0.945538 + 4.14267i 0.144193 + 0.631752i 0.994434 + 0.105358i \(0.0335990\pi\)
−0.850241 + 0.526394i \(0.823544\pi\)
\(44\) −17.3950 + 5.36566i −2.62240 + 0.808904i
\(45\) 2.87008 + 7.31285i 0.427847 + 1.09014i
\(46\) 13.1011 + 12.1560i 1.93165 + 1.79231i
\(47\) −6.58032 4.48639i −0.959839 0.654407i −0.0213703 0.999772i \(-0.506803\pi\)
−0.938469 + 0.345365i \(0.887755\pi\)
\(48\) 14.5224 2.09612
\(49\) 4.34863 5.48538i 0.621233 0.783626i
\(50\) 8.28718 1.17198
\(51\) −9.69350 6.60892i −1.35736 0.925434i
\(52\) 3.02923 + 2.81071i 0.420079 + 0.389776i
\(53\) −1.24885 3.18203i −0.171543 0.437085i 0.819085 0.573673i \(-0.194482\pi\)
−0.990628 + 0.136587i \(0.956387\pi\)
\(54\) −22.2072 + 6.85001i −3.02201 + 0.932168i
\(55\) 1.26048 + 5.52251i 0.169963 + 0.744655i
\(56\) −3.12843 13.6160i −0.418055 1.81952i
\(57\) −5.46531 + 23.9451i −0.723898 + 3.17161i
\(58\) 1.18485 + 15.8108i 0.155579 + 2.07606i
\(59\) −3.84854 1.18712i −0.501037 0.154549i 0.0339269 0.999424i \(-0.489199\pi\)
−0.534964 + 0.844875i \(0.679675\pi\)
\(60\) 1.19850 15.9928i 0.154725 2.06467i
\(61\) −1.19012 + 3.03236i −0.152379 + 0.388254i −0.986596 0.163181i \(-0.947824\pi\)
0.834218 + 0.551436i \(0.185920\pi\)
\(62\) −5.99208 + 2.88563i −0.760995 + 0.366476i
\(63\) 8.10210 + 13.9866i 1.02077 + 1.76215i
\(64\) 5.64843 + 2.72014i 0.706054 + 0.340018i
\(65\) 0.942616 0.874620i 0.116917 0.108483i
\(66\) −32.5570 + 4.90717i −4.00748 + 0.604031i
\(67\) 5.21172 9.02697i 0.636713 1.10282i −0.349436 0.936960i \(-0.613627\pi\)
0.986149 0.165859i \(-0.0530398\pi\)
\(68\) 8.03154 + 13.9110i 0.973967 + 1.68696i
\(69\) 13.5810 + 17.0300i 1.63496 + 2.05018i
\(70\) −8.32894 + 1.26767i −0.995499 + 0.151515i
\(71\) −6.56270 + 8.22937i −0.778850 + 0.976646i 0.221149 + 0.975240i \(0.429019\pi\)
−0.999999 + 0.00140656i \(0.999552\pi\)
\(72\) 31.9000 + 4.80816i 3.75945 + 0.566647i
\(73\) 7.23578 4.93327i 0.846885 0.577396i −0.0602756 0.998182i \(-0.519198\pi\)
0.907160 + 0.420786i \(0.138246\pi\)
\(74\) −13.0641 + 8.90693i −1.51867 + 1.03541i
\(75\) 9.98755 + 1.50538i 1.15326 + 0.173826i
\(76\) 20.9665 26.2912i 2.40503 3.01581i
\(77\) 4.27370 + 10.8432i 0.487033 + 1.23570i
\(78\) 4.66001 + 5.84347i 0.527642 + 0.661643i
\(79\) −7.58691 13.1409i −0.853594 1.47847i −0.877943 0.478765i \(-0.841085\pi\)
0.0243487 0.999704i \(-0.492249\pi\)
\(80\) −3.09359 + 5.35826i −0.345874 + 0.599072i
\(81\) −9.88460 + 1.48986i −1.09829 + 0.165540i
\(82\) 4.89588 4.54271i 0.540660 0.501659i
\(83\) 1.33364 + 0.642246i 0.146386 + 0.0704957i 0.505643 0.862743i \(-0.331255\pi\)
−0.359257 + 0.933239i \(0.616970\pi\)
\(84\) −2.51340 32.9024i −0.274234 3.58994i
\(85\) 4.50340 2.16873i 0.488463 0.235231i
\(86\) 3.84433 9.79519i 0.414544 1.05624i
\(87\) −1.44409 + 19.2701i −0.154823 + 2.06597i
\(88\) 22.2280 + 6.85644i 2.36952 + 0.730899i
\(89\) 0.376908 + 5.02948i 0.0399521 + 0.533124i 0.980892 + 0.194551i \(0.0623251\pi\)
−0.940940 + 0.338573i \(0.890056\pi\)
\(90\) 4.32893 18.9663i 0.456309 1.99922i
\(91\) 1.64661 2.07091i 0.172612 0.217090i
\(92\) −6.63631 29.0756i −0.691883 3.03134i
\(93\) −7.74573 + 2.38924i −0.803194 + 0.247753i
\(94\) 7.20533 + 18.3589i 0.743173 + 1.89357i
\(95\) −7.67069 7.11736i −0.786997 0.730226i
\(96\) −3.37753 2.30276i −0.344717 0.235024i
\(97\) −2.98357 −0.302936 −0.151468 0.988462i \(-0.548400\pi\)
−0.151468 + 0.988462i \(0.548400\pi\)
\(98\) −16.5496 + 5.15718i −1.67176 + 0.520954i
\(99\) −26.9129 −2.70485
\(100\) −11.4260 7.79015i −1.14260 0.779015i
\(101\) −8.25157 7.65634i −0.821062 0.761834i 0.152973 0.988230i \(-0.451115\pi\)
−0.974035 + 0.226396i \(0.927306\pi\)
\(102\) 10.6142 + 27.0445i 1.05096 + 2.67781i
\(103\) −7.83025 + 2.41531i −0.771537 + 0.237988i −0.655437 0.755250i \(-0.727516\pi\)
−0.116100 + 0.993238i \(0.537039\pi\)
\(104\) −1.17502 5.14808i −0.115220 0.504811i
\(105\) −10.2682 + 0.0148039i −1.00207 + 0.00144471i
\(106\) −1.88364 + 8.25276i −0.182955 + 0.801579i
\(107\) −1.29261 17.2487i −0.124962 1.66750i −0.609546 0.792751i \(-0.708648\pi\)
0.484584 0.874745i \(-0.338971\pi\)
\(108\) 37.0576 + 11.4308i 3.56587 + 1.09992i
\(109\) −0.0128424 + 0.171370i −0.00123008 + 0.0164143i −0.997785 0.0665204i \(-0.978810\pi\)
0.996555 + 0.0829347i \(0.0264293\pi\)
\(110\) 5.12479 13.0578i 0.488630 1.24501i
\(111\) −17.3625 + 8.36135i −1.64798 + 0.793625i
\(112\) −4.63385 + 11.8571i −0.437858 + 1.12039i
\(113\) −0.728232 0.350698i −0.0685063 0.0329909i 0.399317 0.916813i \(-0.369247\pi\)
−0.467823 + 0.883822i \(0.654962\pi\)
\(114\) 44.5854 41.3692i 4.17580 3.87458i
\(115\) −9.17657 + 1.38315i −0.855720 + 0.128979i
\(116\) 13.2289 22.9131i 1.22827 2.12743i
\(117\) 3.05468 + 5.29087i 0.282406 + 0.489141i
\(118\) 6.21835 + 7.79756i 0.572445 + 0.717824i
\(119\) 8.48903 5.80567i 0.778188 0.532205i
\(120\) −12.7775 + 16.0225i −1.16642 + 1.46265i
\(121\) −8.31177 1.25280i −0.755615 0.113891i
\(122\) 6.66515 4.54422i 0.603434 0.411414i
\(123\) 6.72562 4.58545i 0.606429 0.413456i
\(124\) 10.9742 + 1.65410i 0.985515 + 0.148542i
\(125\) −6.69167 + 8.39109i −0.598521 + 0.750522i
\(126\) 2.93371 39.9199i 0.261356 3.55634i
\(127\) −3.13538 3.93165i −0.278220 0.348877i 0.623013 0.782212i \(-0.285908\pi\)
−0.901233 + 0.433334i \(0.857337\pi\)
\(128\) −9.11691 15.7910i −0.805829 1.39574i
\(129\) 6.41243 11.1066i 0.564583 0.977886i
\(130\) −3.14873 + 0.474595i −0.276162 + 0.0416247i
\(131\) 5.67745 5.26790i 0.496041 0.460259i −0.392038 0.919949i \(-0.628230\pi\)
0.888079 + 0.459690i \(0.152039\pi\)
\(132\) 49.5012 + 23.8385i 4.30852 + 2.07488i
\(133\) −17.8066 12.1028i −1.54403 1.04944i
\(134\) −23.2560 + 11.1995i −2.00901 + 0.967488i
\(135\) 4.40874 11.2333i 0.379444 0.966807i
\(136\) 1.53391 20.4686i 0.131532 1.75517i
\(137\) −2.83036 0.873050i −0.241814 0.0745897i 0.171479 0.985188i \(-0.445145\pi\)
−0.413293 + 0.910598i \(0.635622\pi\)
\(138\) −4.03099 53.7898i −0.343141 4.57889i
\(139\) 2.48856 10.9031i 0.211077 0.924790i −0.752759 0.658296i \(-0.771278\pi\)
0.963837 0.266494i \(-0.0858652\pi\)
\(140\) 12.6753 + 6.08159i 1.07126 + 0.513988i
\(141\) 5.34880 + 23.4346i 0.450450 + 1.97355i
\(142\) 24.9075 7.68296i 2.09019 0.644740i
\(143\) 1.60939 + 4.10067i 0.134584 + 0.342915i
\(144\) −21.5489 19.9944i −1.79574 1.66620i
\(145\) −6.80239 4.63779i −0.564907 0.385147i
\(146\) −21.6867 −1.79480
\(147\) −20.8821 + 3.20907i −1.72232 + 0.264680i
\(148\) 26.3850 2.16883
\(149\) 11.6799 + 7.96321i 0.956854 + 0.652372i 0.937700 0.347445i \(-0.112951\pi\)
0.0191532 + 0.999817i \(0.493903\pi\)
\(150\) −18.3352 17.0126i −1.49706 1.38907i
\(151\) 7.16652 + 18.2600i 0.583204 + 1.48598i 0.852399 + 0.522893i \(0.175147\pi\)
−0.269195 + 0.963086i \(0.586758\pi\)
\(152\) −41.0617 + 12.6659i −3.33054 + 1.02734i
\(153\) 5.28443 + 23.1526i 0.427221 + 1.87178i
\(154\) 6.38183 28.1476i 0.514263 2.26820i
\(155\) 0.768467 3.36687i 0.0617247 0.270434i
\(156\) −0.932046 12.4373i −0.0746234 0.995780i
\(157\) −11.6674 3.59891i −0.931157 0.287224i −0.208176 0.978091i \(-0.566753\pi\)
−0.722982 + 0.690867i \(0.757229\pi\)
\(158\) −2.80805 + 37.4708i −0.223396 + 2.98101i
\(159\) −3.76926 + 9.60391i −0.298922 + 0.761640i
\(160\) 1.56913 0.755653i 0.124051 0.0597396i
\(161\) −18.2380 + 5.65449i −1.43736 + 0.445636i
\(162\) 22.3029 + 10.7405i 1.75228 + 0.843853i
\(163\) −1.42284 + 1.32020i −0.111446 + 0.103406i −0.733928 0.679228i \(-0.762315\pi\)
0.622482 + 0.782634i \(0.286124\pi\)
\(164\) −11.0205 + 1.66108i −0.860558 + 0.129708i
\(165\) 8.54827 14.8060i 0.665482 1.15265i
\(166\) −1.83279 3.17448i −0.142252 0.246387i
\(167\) −3.70057 4.64037i −0.286359 0.359083i 0.617758 0.786368i \(-0.288041\pi\)
−0.904117 + 0.427286i \(0.859470\pi\)
\(168\) −21.0305 + 36.5475i −1.62254 + 2.81970i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −12.2396 1.84482i −0.938733 0.141491i
\(171\) 41.0773 28.0060i 3.14126 2.14167i
\(172\) −14.5081 + 9.89148i −1.10623 + 0.754218i
\(173\) 23.3929 + 3.52592i 1.77853 + 0.268071i 0.954444 0.298390i \(-0.0964498\pi\)
0.824088 + 0.566461i \(0.191688\pi\)
\(174\) 29.8362 37.4134i 2.26187 2.83630i
\(175\) −4.41597 + 7.67421i −0.333816 + 0.580116i
\(176\) −13.2156 16.5718i −0.996163 1.24915i
\(177\) 6.07780 + 10.5271i 0.456835 + 0.791262i
\(178\) 6.24487 10.8164i 0.468073 0.810725i
\(179\) 7.37148 1.11107i 0.550970 0.0830454i 0.132344 0.991204i \(-0.457750\pi\)
0.418626 + 0.908159i \(0.362512\pi\)
\(180\) −23.7973 + 22.0807i −1.77375 + 1.64580i
\(181\) −10.4277 5.02171i −0.775084 0.373261i 0.00415194 0.999991i \(-0.498678\pi\)
−0.779236 + 0.626731i \(0.784393\pi\)
\(182\) −6.25796 + 1.94021i −0.463871 + 0.143818i
\(183\) 8.85818 4.26587i 0.654815 0.315342i
\(184\) −13.9229 + 35.4750i −1.02641 + 2.61525i
\(185\) 0.613557 8.18734i 0.0451096 0.601946i
\(186\) 19.1812 + 5.91662i 1.40643 + 0.433827i
\(187\) 1.27965 + 17.0757i 0.0935772 + 1.24870i
\(188\) 7.32336 32.0857i 0.534111 2.34009i
\(189\) 5.49014 24.2147i 0.399349 1.76136i
\(190\) 5.76613 + 25.2631i 0.418319 + 1.83278i
\(191\) −6.56329 + 2.02451i −0.474903 + 0.146488i −0.522961 0.852356i \(-0.675173\pi\)
0.0480585 + 0.998845i \(0.484697\pi\)
\(192\) −6.91291 17.6138i −0.498896 1.27117i
\(193\) 7.00646 + 6.50105i 0.504336 + 0.467956i 0.890830 0.454336i \(-0.150124\pi\)
−0.386494 + 0.922292i \(0.626314\pi\)
\(194\) 6.10457 + 4.16203i 0.438283 + 0.298816i
\(195\) −3.88100 −0.277924
\(196\) 27.6658 + 8.44649i 1.97613 + 0.603321i
\(197\) 0.576531 0.0410761 0.0205381 0.999789i \(-0.493462\pi\)
0.0205381 + 0.999789i \(0.493462\pi\)
\(198\) 55.0655 + 37.5430i 3.91333 + 2.66807i
\(199\) 9.00552 + 8.35590i 0.638384 + 0.592334i 0.931499 0.363743i \(-0.118501\pi\)
−0.293115 + 0.956077i \(0.594692\pi\)
\(200\) 6.45601 + 16.4497i 0.456509 + 1.16317i
\(201\) −30.0621 + 9.27292i −2.12042 + 0.654062i
\(202\) 6.20278 + 27.1762i 0.436426 + 1.91211i
\(203\) −15.2727 7.32783i −1.07193 0.514313i
\(204\) 10.7881 47.2656i 0.755316 3.30925i
\(205\) 0.259166 + 3.45833i 0.0181009 + 0.241540i
\(206\) 19.3905 + 5.98118i 1.35100 + 0.416728i
\(207\) 3.29496 43.9682i 0.229016 3.05600i
\(208\) −1.75789 + 4.47903i −0.121888 + 0.310565i
\(209\) 32.2979 15.5538i 2.23409 1.07588i
\(210\) 21.0300 + 14.2936i 1.45121 + 0.986353i
\(211\) 10.5812 + 5.09562i 0.728438 + 0.350797i 0.761070 0.648670i \(-0.224675\pi\)
−0.0326316 + 0.999467i \(0.510389\pi\)
\(212\) 10.3549 9.60793i 0.711177 0.659876i
\(213\) 31.4137 4.73486i 2.15243 0.324427i
\(214\) −21.4169 + 37.0951i −1.46403 + 2.53577i
\(215\) 2.73198 + 4.73194i 0.186320 + 0.322715i
\(216\) −30.8971 38.7438i −2.10228 2.63618i
\(217\) 0.520789 7.08653i 0.0353535 0.481065i
\(218\) 0.265334 0.332719i 0.0179707 0.0225346i
\(219\) −26.1364 3.93943i −1.76614 0.266202i
\(220\) −19.3405 + 13.1861i −1.30393 + 0.889008i
\(221\) 3.21171 2.18971i 0.216043 0.147296i
\(222\) 47.1888 + 7.11257i 3.16710 + 0.477364i
\(223\) −7.78528 + 9.76243i −0.521341 + 0.653740i −0.970893 0.239513i \(-0.923012\pi\)
0.449552 + 0.893254i \(0.351584\pi\)
\(224\) 2.95785 2.02288i 0.197630 0.135159i
\(225\) −12.7473 15.9846i −0.849820 1.06564i
\(226\) 1.00079 + 1.73342i 0.0665716 + 0.115305i
\(227\) −10.4109 + 18.0321i −0.690993 + 1.19683i 0.280520 + 0.959848i \(0.409493\pi\)
−0.971513 + 0.236987i \(0.923840\pi\)
\(228\) −100.361 + 15.1269i −6.64655 + 1.00181i
\(229\) 0.313241 0.290645i 0.0206995 0.0192064i −0.669755 0.742582i \(-0.733601\pi\)
0.690455 + 0.723376i \(0.257410\pi\)
\(230\) 20.7053 + 9.97115i 1.36527 + 0.657478i
\(231\) 12.8043 32.7637i 0.842463 2.15569i
\(232\) −30.4606 + 14.6691i −1.99984 + 0.963071i
\(233\) −8.66350 + 22.0742i −0.567565 + 1.44613i 0.302478 + 0.953156i \(0.402186\pi\)
−0.870043 + 0.492976i \(0.835909\pi\)
\(234\) 1.13059 15.0867i 0.0739090 0.986247i
\(235\) −9.78600 3.01858i −0.638369 0.196911i
\(236\) −1.24373 16.5964i −0.0809597 1.08033i
\(237\) −10.1908 + 44.6490i −0.661966 + 2.90026i
\(238\) −25.4679 + 0.0367178i −1.65084 + 0.00238006i
\(239\) 2.20363 + 9.65475i 0.142541 + 0.624514i 0.994840 + 0.101458i \(0.0323508\pi\)
−0.852299 + 0.523055i \(0.824792\pi\)
\(240\) 17.8444 5.50426i 1.15185 0.355298i
\(241\) 4.44715 + 11.3312i 0.286466 + 0.729904i 0.999583 + 0.0288593i \(0.00918749\pi\)
−0.713117 + 0.701045i \(0.752717\pi\)
\(242\) 15.2588 + 14.1581i 0.980872 + 0.910116i
\(243\) 1.66620 + 1.13599i 0.106887 + 0.0728740i
\(244\) −13.4613 −0.861774
\(245\) 3.26432 8.38838i 0.208549 0.535914i
\(246\) −20.1577 −1.28521
\(247\) −6.72366 4.58411i −0.427816 0.291680i
\(248\) −10.3959 9.64598i −0.660140 0.612521i
\(249\) −1.63219 4.15875i −0.103436 0.263550i
\(250\) 25.3970 7.83394i 1.60625 0.495462i
\(251\) −2.91020 12.7504i −0.183690 0.804800i −0.979853 0.199718i \(-0.935997\pi\)
0.796163 0.605082i \(-0.206860\pi\)
\(252\) −41.5705 + 52.2823i −2.61870 + 3.29347i
\(253\) 7.07446 30.9952i 0.444768 1.94865i
\(254\) 0.930616 + 12.4182i 0.0583920 + 0.779188i
\(255\) −14.4158 4.44669i −0.902753 0.278462i
\(256\) −2.43732 + 32.5237i −0.152332 + 2.03273i
\(257\) 9.19251 23.4221i 0.573413 1.46103i −0.290244 0.956953i \(-0.593736\pi\)
0.863657 0.504080i \(-0.168168\pi\)
\(258\) −28.6138 + 13.7797i −1.78142 + 0.857886i
\(259\) −1.28671 16.8440i −0.0799520 1.04663i
\(260\) 4.78748 + 2.30553i 0.296907 + 0.142983i
\(261\) 28.6739 26.6055i 1.77487 1.64684i
\(262\) −18.9651 + 2.85852i −1.17167 + 0.176600i
\(263\) 15.4383 26.7400i 0.951968 1.64886i 0.210808 0.977528i \(-0.432391\pi\)
0.741160 0.671329i \(-0.234276\pi\)
\(264\) −35.1036 60.8012i −2.16047 3.74205i
\(265\) −2.74058 3.43658i −0.168353 0.211107i
\(266\) 19.5503 + 49.6029i 1.19870 + 3.04135i
\(267\) 9.49102 11.9014i 0.580841 0.728352i
\(268\) 42.5923 + 6.41975i 2.60174 + 0.392149i
\(269\) −15.9808 + 10.8955i −0.974364 + 0.664310i −0.942157 0.335171i \(-0.891206\pi\)
−0.0322069 + 0.999481i \(0.510254\pi\)
\(270\) −24.6908 + 16.8339i −1.50263 + 1.02448i
\(271\) −2.74761 0.414136i −0.166905 0.0251570i 0.0650578 0.997881i \(-0.479277\pi\)
−0.231963 + 0.972725i \(0.574515\pi\)
\(272\) −11.6615 + 14.6230i −0.707082 + 0.886652i
\(273\) −7.89442 + 1.20154i −0.477792 + 0.0727202i
\(274\) 4.57320 + 5.73461i 0.276277 + 0.346441i
\(275\) −7.37101 12.7670i −0.444489 0.769877i
\(276\) −45.0060 + 77.9526i −2.70904 + 4.69220i
\(277\) −17.0225 + 2.56573i −1.02278 + 0.154160i −0.638954 0.769245i \(-0.720633\pi\)
−0.383829 + 0.923404i \(0.625395\pi\)
\(278\) −20.3014 + 18.8370i −1.21760 + 1.12977i
\(279\) 14.7829 + 7.11908i 0.885030 + 0.426208i
\(280\) −9.00481 15.5450i −0.538140 0.928991i
\(281\) −15.1997 + 7.31980i −0.906739 + 0.436662i −0.828318 0.560258i \(-0.810702\pi\)
−0.0784207 + 0.996920i \(0.524988\pi\)
\(282\) 21.7469 55.4103i 1.29501 3.29963i
\(283\) 0.256658 3.42486i 0.0152567 0.203587i −0.984366 0.176133i \(-0.943641\pi\)
0.999623 0.0274536i \(-0.00873987\pi\)
\(284\) −41.5638 12.8207i −2.46635 0.760770i
\(285\) 2.36015 + 31.4940i 0.139803 + 1.86554i
\(286\) 2.42744 10.6353i 0.143538 0.628879i
\(287\) 1.59785 + 6.95442i 0.0943183 + 0.410506i
\(288\) 1.84126 + 8.06711i 0.108498 + 0.475359i
\(289\) −1.80610 + 0.557109i −0.106241 + 0.0327711i
\(290\) 7.44848 + 18.9784i 0.437390 + 1.11445i
\(291\) 6.60108 + 6.12491i 0.386962 + 0.359048i
\(292\) 29.9008 + 20.3860i 1.74981 + 1.19300i
\(293\) 16.0735 0.939023 0.469511 0.882926i \(-0.344430\pi\)
0.469511 + 0.882926i \(0.344430\pi\)
\(294\) 47.2026 + 22.5642i 2.75291 + 1.31597i
\(295\) −5.17883 −0.301523
\(296\) −27.8572 18.9927i −1.61917 1.10393i
\(297\) 30.3050 + 28.1190i 1.75848 + 1.63163i
\(298\) −12.7893 32.5865i −0.740861 1.88768i
\(299\) −6.89640 + 2.12726i −0.398829 + 0.123022i
\(300\) 9.28764 + 40.6918i 0.536222 + 2.34934i
\(301\) 7.02216 + 8.77951i 0.404751 + 0.506043i
\(302\) 10.8092 47.3583i 0.622001 2.72517i
\(303\) 2.53888 + 33.8790i 0.145855 + 1.94630i
\(304\) 37.4160 + 11.5413i 2.14595 + 0.661939i
\(305\) −0.313030 + 4.17710i −0.0179240 + 0.239180i
\(306\) 21.4852 54.7434i 1.22823 3.12947i
\(307\) 7.39542 3.56145i 0.422079 0.203263i −0.210773 0.977535i \(-0.567598\pi\)
0.632852 + 0.774272i \(0.281884\pi\)
\(308\) −35.2585 + 32.8098i −2.00904 + 1.86951i
\(309\) 22.2826 + 10.7307i 1.26761 + 0.610450i
\(310\) −6.26906 + 5.81684i −0.356059 + 0.330374i
\(311\) 17.7725 2.67877i 1.00778 0.151899i 0.375653 0.926760i \(-0.377418\pi\)
0.632132 + 0.774861i \(0.282180\pi\)
\(312\) −7.96869 + 13.8022i −0.451138 + 0.781395i
\(313\) 4.82514 + 8.35739i 0.272733 + 0.472388i 0.969561 0.244851i \(-0.0787390\pi\)
−0.696828 + 0.717239i \(0.745406\pi\)
\(314\) 18.8518 + 23.6394i 1.06387 + 1.33405i
\(315\) 15.2567 + 14.1152i 0.859616 + 0.795304i
\(316\) 39.0951 49.0237i 2.19927 2.75780i
\(317\) 11.8716 + 1.78936i 0.666775 + 0.100500i 0.473703 0.880684i \(-0.342917\pi\)
0.193072 + 0.981185i \(0.438155\pi\)
\(318\) 21.1094 14.3922i 1.18376 0.807073i
\(319\) 23.3037 15.8882i 1.30476 0.889569i
\(320\) 7.97150 + 1.20151i 0.445621 + 0.0671665i
\(321\) −32.5496 + 40.8159i −1.81674 + 2.27812i
\(322\) 45.2041 + 13.8723i 2.51912 + 0.773071i
\(323\) −19.7224 24.7312i −1.09739 1.37608i
\(324\) −20.6540 35.7738i −1.14745 1.98743i
\(325\) −1.67326 + 2.89817i −0.0928157 + 0.160761i
\(326\) 4.75288 0.716382i 0.263238 0.0396767i
\(327\) 0.380215 0.352788i 0.0210259 0.0195092i
\(328\) 12.8311 + 6.17915i 0.708481 + 0.341187i
\(329\) −20.8404 3.11047i −1.14897 0.171486i
\(330\) −38.1445 + 18.3694i −2.09978 + 1.01120i
\(331\) 2.73047 6.95712i 0.150080 0.382398i −0.835986 0.548751i \(-0.815104\pi\)
0.986066 + 0.166352i \(0.0531989\pi\)
\(332\) −0.457111 + 6.09972i −0.0250872 + 0.334765i
\(333\) 37.2751 + 11.4979i 2.04266 + 0.630078i
\(334\) 1.09837 + 14.6567i 0.0601001 + 0.801980i
\(335\) 2.98251 13.0672i 0.162952 0.713939i
\(336\) 34.5935 16.7208i 1.88723 0.912196i
\(337\) −3.42418 15.0023i −0.186527 0.817228i −0.978430 0.206581i \(-0.933766\pi\)
0.791903 0.610648i \(-0.209091\pi\)
\(338\) −2.36634 + 0.729920i −0.128712 + 0.0397024i
\(339\) 0.891255 + 2.27088i 0.0484064 + 0.123337i
\(340\) 15.1413 + 14.0491i 0.821153 + 0.761918i
\(341\) 9.77516 + 6.66459i 0.529355 + 0.360908i
\(342\) −123.115 −6.65728
\(343\) 4.04301 18.0736i 0.218302 0.975881i
\(344\) 22.4379 1.20977
\(345\) 23.1424 + 15.7782i 1.24594 + 0.849470i
\(346\) −42.9449 39.8470i −2.30873 2.14219i
\(347\) −10.1683 25.9085i −0.545865 1.39084i −0.891734 0.452559i \(-0.850511\pi\)
0.345869 0.938283i \(-0.387584\pi\)
\(348\) −76.3064 + 23.5374i −4.09045 + 1.26174i
\(349\) 0.331192 + 1.45105i 0.0177283 + 0.0776729i 0.983018 0.183508i \(-0.0587453\pi\)
−0.965290 + 0.261181i \(0.915888\pi\)
\(350\) 19.7407 9.54172i 1.05519 0.510026i
\(351\) 2.08827 9.14931i 0.111464 0.488354i
\(352\) 0.445871 + 5.94973i 0.0237650 + 0.317122i
\(353\) 7.22712 + 2.22927i 0.384661 + 0.118652i 0.481054 0.876691i \(-0.340254\pi\)
−0.0963926 + 0.995343i \(0.530730\pi\)
\(354\) 2.24950 30.0174i 0.119559 1.59541i
\(355\) −4.94483 + 12.5992i −0.262445 + 0.668698i
\(356\) −18.7779 + 9.04296i −0.995226 + 0.479276i
\(357\) −30.7001 4.58204i −1.62482 0.242507i
\(358\) −16.6324 8.00976i −0.879052 0.423329i
\(359\) −1.71772 + 1.59381i −0.0906577 + 0.0841181i −0.724200 0.689590i \(-0.757791\pi\)
0.633542 + 0.773708i \(0.281600\pi\)
\(360\) 41.0196 6.18270i 2.16192 0.325857i
\(361\) −23.6108 + 40.8952i −1.24268 + 2.15238i
\(362\) 14.3305 + 24.8212i 0.753195 + 1.30457i
\(363\) 15.8178 + 19.8348i 0.830217 + 1.04106i
\(364\) 10.4521 + 3.20755i 0.547838 + 0.168121i
\(365\) 7.02117 8.80427i 0.367505 0.460836i
\(366\) −24.0752 3.62875i −1.25843 0.189678i
\(367\) 6.76153 4.60993i 0.352949 0.240637i −0.373846 0.927491i \(-0.621961\pi\)
0.726795 + 0.686854i \(0.241009\pi\)
\(368\) 28.6918 19.5617i 1.49566 1.01973i
\(369\) −16.2930 2.45577i −0.848179 0.127842i
\(370\) −12.6766 + 15.8959i −0.659024 + 0.826390i
\(371\) −6.63861 6.14194i −0.344659 0.318874i
\(372\) −20.8846 26.1884i −1.08281 1.35781i
\(373\) −14.1971 24.5902i −0.735100 1.27323i −0.954679 0.297636i \(-0.903802\pi\)
0.219579 0.975595i \(-0.429532\pi\)
\(374\) 21.2021 36.7231i 1.09633 1.89891i
\(375\) 32.0311 4.82790i 1.65408 0.249312i
\(376\) −30.8283 + 28.6045i −1.58985 + 1.47516i
\(377\) −5.76854 2.77798i −0.297095 0.143073i
\(378\) −45.0123 + 41.8863i −2.31518 + 2.15440i
\(379\) 6.32033 3.04371i 0.324654 0.156345i −0.264457 0.964398i \(-0.585193\pi\)
0.589110 + 0.808053i \(0.299478\pi\)
\(380\) 15.7978 40.2521i 0.810409 2.06489i
\(381\) −1.13423 + 15.1352i −0.0581083 + 0.775402i
\(382\) 16.2531 + 5.01341i 0.831579 + 0.256508i
\(383\) −0.0885404 1.18149i −0.00452420 0.0603713i 0.994485 0.104882i \(-0.0334463\pi\)
−0.999009 + 0.0445102i \(0.985827\pi\)
\(384\) −12.2460 + 53.6530i −0.624924 + 2.73797i
\(385\) 9.36109 + 11.7038i 0.477085 + 0.596480i
\(386\) −5.26682 23.0755i −0.268074 1.17451i
\(387\) −24.8067 + 7.65184i −1.26099 + 0.388965i
\(388\) −4.50435 11.4769i −0.228674 0.582651i
\(389\) −14.4310 13.3900i −0.731680 0.678900i 0.223574 0.974687i \(-0.428228\pi\)
−0.955254 + 0.295787i \(0.904418\pi\)
\(390\) 7.94078 + 5.41393i 0.402097 + 0.274145i
\(391\) −28.0537 −1.41873
\(392\) −23.1295 28.8325i −1.16822 1.45626i
\(393\) −23.3756 −1.17914
\(394\) −1.17962 0.804251i −0.0594284 0.0405176i
\(395\) −14.3031 13.2713i −0.719666 0.667753i
\(396\) −40.6309 103.526i −2.04178 5.20237i
\(397\) 2.75371 0.849408i 0.138205 0.0426306i −0.224881 0.974386i \(-0.572199\pi\)
0.363086 + 0.931756i \(0.381723\pi\)
\(398\) −6.76953 29.6592i −0.339326 1.48668i
\(399\) 14.5512 + 63.3319i 0.728470 + 3.17056i
\(400\) 3.58309 15.6985i 0.179154 0.784926i
\(401\) 0.732070 + 9.76880i 0.0365578 + 0.487830i 0.985192 + 0.171455i \(0.0548469\pi\)
−0.948634 + 0.316375i \(0.897534\pi\)
\(402\) 74.4445 + 22.9631i 3.71295 + 1.14529i
\(403\) 0.200701 2.67817i 0.00999764 0.133409i
\(404\) 16.9941 43.3002i 0.845488 2.15427i
\(405\) −11.5810 + 5.57713i −0.575466 + 0.277130i
\(406\) 21.0267 + 36.2984i 1.04354 + 1.80146i
\(407\) 25.3415 + 12.2038i 1.25613 + 0.604922i
\(408\) −45.4133 + 42.1374i −2.24829 + 2.08611i
\(409\) 31.8038 4.79365i 1.57260 0.237031i 0.695923 0.718116i \(-0.254995\pi\)
0.876674 + 0.481085i \(0.159757\pi\)
\(410\) 4.29404 7.43750i 0.212068 0.367312i
\(411\) 4.46984 + 7.74198i 0.220481 + 0.381884i
\(412\) −21.1124 26.4742i −1.04014 1.30429i
\(413\) −10.5344 + 1.60334i −0.518362 + 0.0788950i
\(414\) −68.0765 + 85.3653i −3.34578 + 4.19548i
\(415\) 1.88213 + 0.283686i 0.0923902 + 0.0139256i
\(416\) 1.11906 0.762965i 0.0548666 0.0374074i
\(417\) −27.8886 + 19.0142i −1.36571 + 0.931127i
\(418\) −87.7809 13.2308i −4.29350 0.647141i
\(419\) 9.01402 11.3032i 0.440364 0.552199i −0.511275 0.859417i \(-0.670827\pi\)
0.951639 + 0.307218i \(0.0993982\pi\)
\(420\) −15.5590 39.4762i −0.759200 1.92624i
\(421\) 1.42893 + 1.79182i 0.0696416 + 0.0873279i 0.815432 0.578853i \(-0.196499\pi\)
−0.745790 + 0.666181i \(0.767928\pi\)
\(422\) −14.5414 25.1865i −0.707867 1.22606i
\(423\) 24.3281 42.1375i 1.18287 2.04879i
\(424\) −17.8488 + 2.69027i −0.866813 + 0.130651i
\(425\) −9.53584 + 8.84796i −0.462556 + 0.429189i
\(426\) −70.8795 34.1338i −3.43412 1.65379i
\(427\) 0.656463 + 8.59362i 0.0317685 + 0.415874i
\(428\) 64.3991 31.0130i 3.11285 1.49907i
\(429\) 4.85743 12.3765i 0.234519 0.597545i
\(430\) 1.01115 13.4929i 0.0487622 0.650686i
\(431\) −11.8647 3.65979i −0.571505 0.176286i −0.00448481 0.999990i \(-0.501428\pi\)
−0.567020 + 0.823704i \(0.691904\pi\)
\(432\) 3.37446 + 45.0291i 0.162354 + 2.16646i
\(433\) 5.37028 23.5287i 0.258079 1.13072i −0.665223 0.746645i \(-0.731664\pi\)
0.923302 0.384074i \(-0.125479\pi\)
\(434\) −10.9512 + 13.7730i −0.525672 + 0.661125i
\(435\) 5.52931 + 24.2255i 0.265110 + 1.16152i
\(436\) −0.678597 + 0.209319i −0.0324989 + 0.0100246i
\(437\) 21.4564 + 54.6700i 1.02640 + 2.61522i
\(438\) 47.9813 + 44.5202i 2.29264 + 2.12726i
\(439\) −1.95873 1.33544i −0.0934849 0.0637369i 0.515675 0.856784i \(-0.327541\pi\)
−0.609160 + 0.793047i \(0.708493\pi\)
\(440\) 29.9114 1.42597
\(441\) 35.4039 + 23.9887i 1.68590 + 1.14232i
\(442\) −9.62598 −0.457861
\(443\) 20.4878 + 13.9684i 0.973406 + 0.663657i 0.941916 0.335847i \(-0.109023\pi\)
0.0314893 + 0.999504i \(0.489975\pi\)
\(444\) −58.3762 54.1652i −2.77041 2.57056i
\(445\) 2.36940 + 6.03713i 0.112320 + 0.286187i
\(446\) 29.5476 9.11422i 1.39912 0.431571i
\(447\) −9.49397 41.5958i −0.449050 1.96741i
\(448\) 16.5870 0.0239139i 0.783660 0.00112983i
\(449\) 6.31935 27.6869i 0.298229 1.30663i −0.574534 0.818481i \(-0.694817\pi\)
0.872763 0.488145i \(-0.162326\pi\)
\(450\) 3.78354 + 50.4878i 0.178358 + 2.38002i
\(451\) −11.3530 3.50194i −0.534592 0.164900i
\(452\) 0.249605 3.33074i 0.0117404 0.156665i
\(453\) 21.6298 55.1119i 1.01626 2.58938i
\(454\) 46.4558 22.3719i 2.18028 1.04997i
\(455\) 1.23836 3.16873i 0.0580554 0.148552i
\(456\) 116.849 + 56.2718i 5.47198 + 2.63517i
\(457\) −22.2508 + 20.6457i −1.04085 + 0.965764i −0.999443 0.0333784i \(-0.989373\pi\)
−0.0414034 + 0.999143i \(0.513183\pi\)
\(458\) −1.04636 + 0.157713i −0.0488930 + 0.00736944i
\(459\) 18.2397 31.5920i 0.851355 1.47459i
\(460\) −19.1746 33.2114i −0.894020 1.54849i
\(461\) 7.62345 + 9.55950i 0.355059 + 0.445230i 0.926998 0.375066i \(-0.122380\pi\)
−0.571939 + 0.820296i \(0.693809\pi\)
\(462\) −71.9033 + 49.1748i −3.34524 + 2.28782i
\(463\) −19.5636 + 24.5320i −0.909198 + 1.14010i 0.0804749 + 0.996757i \(0.474356\pi\)
−0.989673 + 0.143342i \(0.954215\pi\)
\(464\) 30.4629 + 4.59154i 1.41420 + 0.213157i
\(465\) −8.61200 + 5.87156i −0.399372 + 0.272287i
\(466\) 48.5193 33.0799i 2.24761 1.53240i
\(467\) 25.4115 + 3.83017i 1.17591 + 0.177239i 0.707787 0.706426i \(-0.249694\pi\)
0.468119 + 0.883665i \(0.344932\pi\)
\(468\) −15.7407 + 19.7382i −0.727612 + 0.912397i
\(469\) 2.02124 27.5037i 0.0933324 1.27000i
\(470\) 15.8119 + 19.8275i 0.729349 + 0.914575i
\(471\) 18.4257 + 31.9142i 0.849010 + 1.47053i
\(472\) −10.6335 + 18.4177i −0.489445 + 0.847744i
\(473\) −18.5095 + 2.78986i −0.851067 + 0.128278i
\(474\) 83.1357 77.1386i 3.81855 3.54309i
\(475\) 24.5359 + 11.8159i 1.12579 + 0.542150i
\(476\) 35.1487 + 23.8898i 1.61104 + 1.09499i
\(477\) 18.8156 9.06114i 0.861509 0.414881i
\(478\) 8.95943 22.8283i 0.409795 1.04414i
\(479\) −0.215387 + 2.87414i −0.00984130 + 0.131323i −0.999960 0.00890641i \(-0.997165\pi\)
0.990119 + 0.140229i \(0.0447840\pi\)
\(480\) −5.02293 1.54937i −0.229264 0.0707187i
\(481\) −0.477150 6.36712i −0.0217562 0.290316i
\(482\) 6.70761 29.3880i 0.305523 1.33859i
\(483\) 51.9592 + 24.9300i 2.36422 + 1.13435i
\(484\) −7.72930 33.8643i −0.351332 1.53928i
\(485\) −3.66606 + 1.13083i −0.166467 + 0.0513484i
\(486\) −1.82445 4.64863i −0.0827589 0.210866i
\(487\) 17.9757 + 16.6790i 0.814557 + 0.755798i 0.972811 0.231600i \(-0.0743961\pi\)
−0.158254 + 0.987398i \(0.550587\pi\)
\(488\) 14.2125 + 9.68989i 0.643368 + 0.438641i
\(489\) 5.85822 0.264918
\(490\) −18.3806 + 12.6095i −0.830353 + 0.569639i
\(491\) −16.5507 −0.746922 −0.373461 0.927646i \(-0.621829\pi\)
−0.373461 + 0.927646i \(0.621829\pi\)
\(492\) 27.7926 + 18.9487i 1.25299 + 0.854273i
\(493\) −18.2441 16.9280i −0.821671 0.762400i
\(494\) 7.36228 + 18.7588i 0.331244 + 0.843997i
\(495\) −33.0692 + 10.2005i −1.48635 + 0.458479i
\(496\) 2.87553 + 12.5985i 0.129115 + 0.565691i
\(497\) −6.15773 + 27.1592i −0.276212 + 1.21826i
\(498\) −2.46182 + 10.7860i −0.110317 + 0.483330i
\(499\) −2.51718 33.5895i −0.112685 1.50367i −0.711444 0.702743i \(-0.751958\pi\)
0.598759 0.800929i \(-0.295661\pi\)
\(500\) −42.3805 13.0727i −1.89532 0.584627i
\(501\) −1.33869 + 17.8635i −0.0598081 + 0.798084i
\(502\) −11.8322 + 30.1479i −0.528096 + 1.34557i
\(503\) −1.59446 + 0.767851i −0.0710934 + 0.0342368i −0.469093 0.883149i \(-0.655419\pi\)
0.397999 + 0.917386i \(0.369705\pi\)
\(504\) 81.5245 25.2758i 3.63139 1.12587i
\(505\) −13.0410 6.28023i −0.580318 0.279466i
\(506\) −57.7126 + 53.5495i −2.56564 + 2.38057i
\(507\) −2.98446 + 0.449835i −0.132545 + 0.0199779i
\(508\) 10.3903 17.9966i 0.460996 0.798468i
\(509\) 14.9051 + 25.8164i 0.660657 + 1.14429i 0.980443 + 0.196802i \(0.0630555\pi\)
−0.319787 + 0.947490i \(0.603611\pi\)
\(510\) 23.2926 + 29.2080i 1.03141 + 1.29335i
\(511\) 11.5561 20.0826i 0.511214 0.888403i
\(512\) 27.6197 34.6340i 1.22063 1.53062i
\(513\) −75.5158 11.3822i −3.33410 0.502535i
\(514\) −51.4819 + 35.0998i −2.27077 + 1.54819i
\(515\) −8.70597 + 5.93563i −0.383631 + 0.261555i
\(516\) 52.4049 + 7.89877i 2.30700 + 0.347724i
\(517\) 21.8744 27.4296i 0.962033 1.20635i
\(518\) −20.8644 + 36.2588i −0.916728 + 1.59312i
\(519\) −44.5181 55.8239i −1.95413 2.45040i
\(520\) −3.39502 5.88036i −0.148882 0.257871i
\(521\) 2.90089 5.02448i 0.127090 0.220126i −0.795458 0.606009i \(-0.792770\pi\)
0.922548 + 0.385882i \(0.126103\pi\)
\(522\) −95.7828 + 14.4369i −4.19230 + 0.631887i
\(523\) −22.8031 + 21.1582i −0.997112 + 0.925184i −0.997197 0.0748155i \(-0.976163\pi\)
8.56522e−5 1.00000i \(0.499973\pi\)
\(524\) 28.8354 + 13.8864i 1.25968 + 0.606630i
\(525\) 25.5244 7.91357i 1.11398 0.345376i
\(526\) −68.8896 + 33.1755i −3.00373 + 1.44652i
\(527\) 3.81403 9.71799i 0.166142 0.423322i
\(528\) −4.78076 + 63.7948i −0.208056 + 2.77631i
\(529\) 27.7933 + 8.57310i 1.20841 + 0.372744i
\(530\) 0.813434 + 10.8545i 0.0353333 + 0.471490i
\(531\) 5.47519 23.9884i 0.237603 1.04101i
\(532\) 19.6727 86.7684i 0.852922 3.76189i
\(533\) 0.600141 + 2.62939i 0.0259950 + 0.113892i
\(534\) −36.0214 + 11.1111i −1.55880 + 0.480826i
\(535\) −8.12589 20.7044i −0.351313 0.895131i
\(536\) −40.3477 37.4372i −1.74276 1.61704i
\(537\) −18.5901 12.6745i −0.802223 0.546946i
\(538\) 47.8967 2.06497
\(539\) 22.6650 + 20.9087i 0.976250 + 0.900603i
\(540\) 49.8670 2.14593
\(541\) 11.9128 + 8.12202i 0.512172 + 0.349193i 0.791666 0.610955i \(-0.209214\pi\)
−0.279494 + 0.960148i \(0.590167\pi\)
\(542\) 5.04408 + 4.68022i 0.216662 + 0.201033i
\(543\) 12.7621 + 32.5172i 0.547672 + 1.39545i
\(544\) 5.03088 1.55182i 0.215697 0.0665338i
\(545\) 0.0491724 + 0.215438i 0.00210631 + 0.00922836i
\(546\) 17.8286 + 8.55416i 0.762994 + 0.366084i
\(547\) −7.01675 + 30.7424i −0.300014 + 1.31445i 0.570090 + 0.821582i \(0.306908\pi\)
−0.870105 + 0.492867i \(0.835949\pi\)
\(548\) −0.914683 12.2056i −0.0390733 0.521397i
\(549\) −19.0174 5.86608i −0.811641 0.250358i
\(550\) −2.72814 + 36.4045i −0.116328 + 1.55229i
\(551\) −19.0351 + 48.5005i −0.810921 + 2.06619i
\(552\) 103.630 49.9056i 4.41078 2.12412i
\(553\) −33.2029 22.5673i −1.41193 0.959659i
\(554\) 38.4083 + 18.4965i 1.63181 + 0.785839i
\(555\) −18.1651 + 16.8548i −0.771066 + 0.715445i
\(556\) 45.6980 6.88787i 1.93803 0.292111i
\(557\) 21.2859 36.8683i 0.901914 1.56216i 0.0769079 0.997038i \(-0.475495\pi\)
0.825006 0.565123i \(-0.191171\pi\)
\(558\) −20.3158 35.1880i −0.860037 1.48963i
\(559\) 2.64934 + 3.32217i 0.112055 + 0.140513i
\(560\) −1.19978 + 16.3257i −0.0506999 + 0.689888i
\(561\) 32.2232 40.4066i 1.36046 1.70597i
\(562\) 41.3106 + 6.22657i 1.74258 + 0.262652i
\(563\) 20.3944 13.9046i 0.859520 0.586011i −0.0513608 0.998680i \(-0.516356\pi\)
0.910881 + 0.412669i \(0.135403\pi\)
\(564\) −82.0708 + 55.9549i −3.45581 + 2.35613i
\(565\) −1.02774 0.154906i −0.0432372 0.00651696i
\(566\) −5.30276 + 6.64945i −0.222892 + 0.279497i
\(567\) −21.8305 + 14.9299i −0.916796 + 0.626999i
\(568\) 34.6542 + 43.4550i 1.45406 + 1.82333i
\(569\) −4.68153 8.10864i −0.196260 0.339932i 0.751053 0.660242i \(-0.229546\pi\)
−0.947313 + 0.320310i \(0.896213\pi\)
\(570\) 39.1046 67.7311i 1.63791 2.83694i
\(571\) 7.20257 1.08561i 0.301418 0.0454315i 0.00340811 0.999994i \(-0.498915\pi\)
0.298010 + 0.954563i \(0.403677\pi\)
\(572\) −13.3443 + 12.3817i −0.557954 + 0.517706i
\(573\) 18.6772 + 8.99446i 0.780251 + 0.375749i
\(574\) 6.43198 16.4582i 0.268466 0.686950i
\(575\) 21.7601 10.4791i 0.907460 0.437009i
\(576\) −13.9931 + 35.6537i −0.583044 + 1.48557i
\(577\) 2.52283 33.6648i 0.105027 1.40148i −0.656977 0.753911i \(-0.728165\pi\)
0.762004 0.647573i \(-0.224216\pi\)
\(578\) 4.47256 + 1.37960i 0.186034 + 0.0573838i
\(579\) −2.15578 28.7668i −0.0895910 1.19551i
\(580\) 7.57049 33.1685i 0.314348 1.37725i
\(581\) 3.91631 0.00564626i 0.162476 0.000234246i
\(582\) −4.96209 21.7403i −0.205685 0.901166i
\(583\) 14.3894 4.43853i 0.595946 0.183825i
\(584\) −16.8947 43.0471i −0.699109 1.78130i
\(585\) 5.75878 + 5.34337i 0.238096 + 0.220921i
\(586\) −32.8874 22.4222i −1.35856 0.926254i
\(587\) 6.09415 0.251532 0.125766 0.992060i \(-0.459861\pi\)
0.125766 + 0.992060i \(0.459861\pi\)
\(588\) −43.8704 75.4823i −1.80918 3.11284i
\(589\) −21.8552 −0.900527
\(590\) 10.5962 + 7.22438i 0.436240 + 0.297423i
\(591\) −1.27556 1.18355i −0.0524696 0.0486847i
\(592\) 11.2241 + 28.5985i 0.461307 + 1.17539i
\(593\) 16.4740 5.08155i 0.676505 0.208674i 0.0625815 0.998040i \(-0.480067\pi\)
0.613923 + 0.789366i \(0.289590\pi\)
\(594\) −22.7806 99.8082i −0.934698 4.09518i
\(595\) 8.23044 10.3512i 0.337415 0.424359i
\(596\) −12.9987 + 56.9512i −0.532449 + 2.33281i
\(597\) −2.77085 36.9745i −0.113403 1.51326i
\(598\) 17.0780 + 5.26785i 0.698369 + 0.215418i
\(599\) −0.571149 + 7.62146i −0.0233365 + 0.311404i 0.973305 + 0.229516i \(0.0737142\pi\)
−0.996641 + 0.0818886i \(0.973905\pi\)
\(600\) 19.4854 49.6479i 0.795487 2.02687i
\(601\) 28.6637 13.8037i 1.16922 0.563065i 0.254465 0.967082i \(-0.418101\pi\)
0.914751 + 0.404017i \(0.132386\pi\)
\(602\) −2.12052 27.7592i −0.0864258 1.13138i
\(603\) 57.3743 + 27.6300i 2.33646 + 1.12518i
\(604\) −59.4213 + 55.1349i −2.41782 + 2.24341i
\(605\) −10.6879 + 1.61095i −0.434526 + 0.0654943i
\(606\) 42.0659 72.8602i 1.70881 2.95974i
\(607\) 16.6316 + 28.8069i 0.675058 + 1.16923i 0.976452 + 0.215735i \(0.0692146\pi\)
−0.301394 + 0.953500i \(0.597452\pi\)
\(608\) −6.87193 8.61712i −0.278693 0.349471i
\(609\) 18.7473 + 47.5656i 0.759680 + 1.92746i
\(610\) 6.46746 8.10993i 0.261860 0.328362i
\(611\) −7.87524 1.18700i −0.318598 0.0480209i
\(612\) −81.0831 + 55.2815i −3.27759 + 2.23462i
\(613\) 19.5353 13.3189i 0.789023 0.537947i −0.100446 0.994943i \(-0.532027\pi\)
0.889469 + 0.456996i \(0.151074\pi\)
\(614\) −20.0997 3.02954i −0.811156 0.122262i
\(615\) 6.52613 8.18351i 0.263159 0.329991i
\(616\) 60.8434 9.26040i 2.45145 0.373112i
\(617\) −12.3769 15.5202i −0.498277 0.624820i 0.467563 0.883960i \(-0.345132\pi\)
−0.965840 + 0.259140i \(0.916561\pi\)
\(618\) −30.6224 53.0396i −1.23181 2.13356i
\(619\) −11.8240 + 20.4798i −0.475247 + 0.823152i −0.999598 0.0283499i \(-0.990975\pi\)
0.524351 + 0.851502i \(0.324308\pi\)
\(620\) 14.1115 2.12697i 0.566732 0.0854212i
\(621\) −49.6488 + 46.0674i −1.99234 + 1.84862i
\(622\) −40.1005 19.3114i −1.60788 0.774315i
\(623\) 6.68869 + 11.5467i 0.267977 + 0.462608i
\(624\) 13.0842 6.30102i 0.523787 0.252243i
\(625\) 1.07109 2.72909i 0.0428436 0.109164i
\(626\) 1.78587 23.8308i 0.0713776 0.952468i
\(627\) −103.388 31.8911i −4.12894 1.27361i
\(628\) −3.77053 50.3142i −0.150460 2.00776i
\(629\) 5.52282 24.1971i 0.220209 0.964801i
\(630\) −11.5256 50.1635i −0.459191 1.99856i
\(631\) 3.69049 + 16.1691i 0.146916 + 0.643681i 0.993731 + 0.111794i \(0.0356598\pi\)
−0.846815 + 0.531887i \(0.821483\pi\)
\(632\) −76.5653 + 23.6173i −3.04560 + 0.939444i
\(633\) −12.9499 32.9958i −0.514712 1.31147i
\(634\) −21.7939 20.2218i −0.865547 0.803111i
\(635\) −5.34278 3.64264i −0.212022 0.144554i
\(636\) −42.6339 −1.69054
\(637\) 1.53796 6.82896i 0.0609363 0.270573i
\(638\) −69.8447 −2.76518
\(639\) −53.1319 36.2247i −2.10186 1.43303i
\(640\) −17.1875 15.9477i −0.679395 0.630387i
\(641\) 6.88676 + 17.5472i 0.272011 + 0.693072i 0.999972 + 0.00745399i \(0.00237270\pi\)
−0.727962 + 0.685618i \(0.759532\pi\)
\(642\) 123.536 38.1059i 4.87558 1.50392i
\(643\) −9.25991 40.5703i −0.365175 1.59994i −0.739844 0.672779i \(-0.765101\pi\)
0.374669 0.927159i \(-0.377757\pi\)
\(644\) −49.2854 61.6195i −1.94212 2.42815i
\(645\) 3.66964 16.0777i 0.144492 0.633060i
\(646\) 5.85383 + 78.1140i 0.230316 + 3.07335i
\(647\) 6.74491 + 2.08053i 0.265170 + 0.0817941i 0.424489 0.905433i \(-0.360454\pi\)
−0.159319 + 0.987227i \(0.550930\pi\)
\(648\) −3.94462 + 52.6374i −0.154959 + 2.06779i
\(649\) 6.48179 16.5153i 0.254432 0.648283i
\(650\) 7.46649 3.59567i 0.292860 0.141034i
\(651\) −15.7000 + 14.6097i −0.615332 + 0.572598i
\(652\) −7.22652 3.48011i −0.283012 0.136292i
\(653\) −5.49415 + 5.09782i −0.215003 + 0.199493i −0.780320 0.625380i \(-0.784944\pi\)
0.565318 + 0.824873i \(0.308754\pi\)
\(654\) −1.27008 + 0.191433i −0.0496640 + 0.00748564i
\(655\) 4.97953 8.62480i 0.194566 0.336999i
\(656\) −6.48853 11.2385i −0.253334 0.438788i
\(657\) 33.3584 + 41.8301i 1.30144 + 1.63195i
\(658\) 38.3018 + 35.4362i 1.49316 + 1.38145i
\(659\) −10.5420 + 13.2193i −0.410659 + 0.514951i −0.943548 0.331234i \(-0.892535\pi\)
0.532889 + 0.846185i \(0.321106\pi\)
\(660\) 69.8599 + 10.5297i 2.71929 + 0.409867i
\(661\) 21.1230 14.4014i 0.821588 0.560149i −0.0779672 0.996956i \(-0.524843\pi\)
0.899556 + 0.436806i \(0.143891\pi\)
\(662\) −15.2918 + 10.4258i −0.594332 + 0.405209i
\(663\) −11.6010 1.74858i −0.450547 0.0679091i
\(664\) 4.87338 6.11103i 0.189124 0.237154i
\(665\) −26.4670 8.12223i −1.02635 0.314967i
\(666\) −60.2280 75.5235i −2.33379 2.92648i
\(667\) 23.1038 + 40.0170i 0.894584 + 1.54947i
\(668\) 12.2633 21.2406i 0.474481 0.821825i
\(669\) 37.2658 5.61692i 1.44078 0.217163i
\(670\) −24.3310 + 22.5758i −0.939987 + 0.872181i
\(671\) −12.9290 6.22627i −0.499118 0.240363i
\(672\) −10.6969 1.59653i −0.412642 0.0615875i
\(673\) −6.61152 + 3.18394i −0.254855 + 0.122732i −0.556950 0.830546i \(-0.688028\pi\)
0.302095 + 0.953278i \(0.402314\pi\)
\(674\) −13.9219 + 35.4724i −0.536251 + 1.36634i
\(675\) −2.34695 + 31.3179i −0.0903342 + 1.20543i
\(676\) 3.94877 + 1.21803i 0.151876 + 0.0468474i
\(677\) 0.294825 + 3.93417i 0.0113310 + 0.151202i 0.999999 + 0.00108610i \(0.000345716\pi\)
−0.988668 + 0.150116i \(0.952035\pi\)
\(678\) 1.34428 5.88966i 0.0516266 0.226191i
\(679\) −7.10711 + 3.43523i −0.272746 + 0.131832i
\(680\) −5.87320 25.7322i −0.225227 0.986784i
\(681\) 60.0516 18.5235i 2.30118 0.709820i
\(682\) −10.7036 27.2724i −0.409863 1.04431i
\(683\) −11.6328 10.7936i −0.445115 0.413007i 0.425510 0.904954i \(-0.360095\pi\)
−0.870625 + 0.491947i \(0.836285\pi\)
\(684\) 169.746 + 115.731i 6.49040 + 4.42508i
\(685\) −3.80871 −0.145523
\(686\) −33.4846 + 31.3398i −1.27845 + 1.19656i
\(687\) −1.28970 −0.0492050
\(688\) −16.8930 11.5175i −0.644040 0.439099i
\(689\) −2.50581 2.32505i −0.0954637 0.0885774i
\(690\) −25.3405 64.5664i −0.964695 2.45800i
\(691\) 42.4477 13.0934i 1.61479 0.498096i 0.649736 0.760160i \(-0.274879\pi\)
0.965051 + 0.262064i \(0.0844031\pi\)
\(692\) 21.7536 + 95.3088i 0.826948 + 3.62310i
\(693\) −64.1087 + 30.9871i −2.43529 + 1.17710i
\(694\) −15.3369 + 67.1952i −0.582179 + 2.55069i
\(695\) −1.07467 14.3404i −0.0407644 0.543963i
\(696\) 97.5072 + 30.0770i 3.69600 + 1.14007i
\(697\) −0.783446 + 10.4544i −0.0296752 + 0.395987i
\(698\) 1.34655 3.43095i 0.0509676 0.129863i
\(699\) 64.4836 31.0536i 2.43899 1.17456i
\(700\) −36.1872 5.40100i −1.36775 0.204139i
\(701\) −36.3591 17.5096i −1.37326 0.661329i −0.405712 0.914001i \(-0.632976\pi\)
−0.967552 + 0.252672i \(0.918691\pi\)
\(702\) −17.0359 + 15.8070i −0.642977 + 0.596596i
\(703\) −51.3785 + 7.74406i −1.93778 + 0.292073i
\(704\) −13.8087 + 23.9173i −0.520435 + 0.901419i
\(705\) 15.4545 + 26.7680i 0.582051 + 1.00814i
\(706\) −11.6774 14.6429i −0.439483 0.551095i
\(707\) −28.4713 8.73730i −1.07077 0.328600i
\(708\) −31.3187 + 39.2723i −1.17703 + 1.47595i
\(709\) −14.8888 2.24413i −0.559161 0.0842799i −0.136619 0.990624i \(-0.543624\pi\)
−0.422541 + 0.906344i \(0.638862\pi\)
\(710\) 27.6932 18.8809i 1.03931 0.708587i
\(711\) 76.5943 52.2211i 2.87251 1.95845i
\(712\) 26.3351 + 3.96937i 0.986949 + 0.148759i
\(713\) −12.0849 + 15.1540i −0.452582 + 0.567520i
\(714\) 56.4226 + 52.2013i 2.11156 + 1.95358i
\(715\) 3.53178 + 4.42871i 0.132081 + 0.165624i
\(716\) 15.4028 + 26.6785i 0.575630 + 0.997021i
\(717\) 14.9445 25.8847i 0.558114 0.966682i
\(718\) 5.73790 0.864849i 0.214137 0.0322759i
\(719\) −17.4898 + 16.2282i −0.652261 + 0.605210i −0.935282 0.353904i \(-0.884854\pi\)
0.283021 + 0.959114i \(0.408664\pi\)
\(720\) −34.0564 16.4007i −1.26921 0.611219i
\(721\) −15.8713 + 14.7691i −0.591080 + 0.550030i
\(722\) 105.357 50.7374i 3.92099 1.88825i
\(723\) 13.4223 34.1994i 0.499180 1.27189i
\(724\) 3.57414 47.6936i 0.132832 1.77252i
\(725\) 20.4745 + 6.31554i 0.760402 + 0.234553i
\(726\) −4.69488 62.6489i −0.174243 2.32512i
\(727\) −5.61710 + 24.6101i −0.208327 + 0.912739i 0.757353 + 0.653005i \(0.226492\pi\)
−0.965680 + 0.259734i \(0.916365\pi\)
\(728\) −8.72640 10.9103i −0.323422 0.404361i
\(729\) 5.31876 + 23.3030i 0.196991 + 0.863075i
\(730\) −26.6476 + 8.21968i −0.986270 + 0.304224i
\(731\) 6.03445 + 15.3755i 0.223192 + 0.568685i
\(732\) 29.7829 + 27.6345i 1.10081 + 1.02140i
\(733\) −35.4282 24.1545i −1.30857 0.892167i −0.310280 0.950645i \(-0.600423\pi\)
−0.998289 + 0.0584782i \(0.981375\pi\)
\(734\) −20.2653 −0.748006
\(735\) −24.4426 + 11.8579i −0.901577 + 0.437384i
\(736\) −9.77479 −0.360304
\(737\) 37.9386 + 25.8661i 1.39749 + 0.952789i
\(738\) 29.9107 + 27.7531i 1.10103 + 1.02161i
\(739\) 3.85983 + 9.83468i 0.141986 + 0.361775i 0.984123 0.177490i \(-0.0567976\pi\)
−0.842137 + 0.539264i \(0.818702\pi\)
\(740\) 32.4206 10.0004i 1.19180 0.367623i
\(741\) 5.46531 + 23.9451i 0.200773 + 0.879645i
\(742\) 5.01512 + 21.8276i 0.184111 + 0.801315i
\(743\) −6.48078 + 28.3942i −0.237757 + 1.04168i 0.705263 + 0.708946i \(0.250829\pi\)
−0.943020 + 0.332736i \(0.892028\pi\)
\(744\) 3.19865 + 42.6830i 0.117268 + 1.56484i
\(745\) 17.3699 + 5.35790i 0.636383 + 0.196298i
\(746\) −5.25461 + 70.1178i −0.192385 + 2.56720i
\(747\) −3.30387 + 8.41812i −0.120882 + 0.308003i
\(748\) −63.7533 + 30.7020i −2.33105 + 1.12258i
\(749\) −22.9390 39.5995i −0.838173 1.44694i
\(750\) −72.2724 34.8046i −2.63902 1.27088i
\(751\) 15.2737 14.1719i 0.557346 0.517142i −0.350434 0.936587i \(-0.613966\pi\)
0.907780 + 0.419446i \(0.137776\pi\)
\(752\) 37.8928 5.71143i 1.38181 0.208274i
\(753\) −19.7363 + 34.1843i −0.719232 + 1.24575i
\(754\) 7.92756 + 13.7309i 0.288705 + 0.500051i
\(755\) 15.7268 + 19.7207i 0.572356 + 0.717711i
\(756\) 101.435 15.4385i 3.68917 0.561494i
\(757\) −20.6811 + 25.9333i −0.751667 + 0.942560i −0.999657 0.0262024i \(-0.991659\pi\)
0.247990 + 0.968763i \(0.420230\pi\)
\(758\) −17.1777 2.58913i −0.623923 0.0940413i
\(759\) −79.2816 + 54.0533i −2.87774 + 1.96201i
\(760\) −45.6540 + 31.1263i −1.65604 + 1.12907i
\(761\) 52.9278 + 7.97758i 1.91863 + 0.289187i 0.995458 0.0951996i \(-0.0303489\pi\)
0.923172 + 0.384387i \(0.125587\pi\)
\(762\) 23.4341 29.3854i 0.848928 1.06452i
\(763\) 0.166721 + 0.423004i 0.00603570 + 0.0153138i
\(764\) −17.6964 22.1906i −0.640233 0.802827i
\(765\) 15.2685 + 26.4459i 0.552035 + 0.956152i
\(766\) −1.46700 + 2.54092i −0.0530048 + 0.0918070i
\(767\) −3.98248 + 0.600263i −0.143799 + 0.0216742i
\(768\) 72.1598 66.9545i 2.60384 2.41601i
\(769\) −10.7832 5.19291i −0.388852 0.187261i 0.229235 0.973371i \(-0.426378\pi\)
−0.618087 + 0.786110i \(0.712092\pi\)
\(770\) −2.82682 37.0052i −0.101871 1.33358i
\(771\) −68.4210 + 32.9498i −2.46412 + 1.18666i
\(772\) −14.4298 + 36.7665i −0.519340 + 1.32326i
\(773\) 1.67154 22.3052i 0.0601213 0.802263i −0.882907 0.469549i \(-0.844417\pi\)